Plot.ly functionality.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import plotly as py\n",
    "import plotly.graph_objs as go"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import ipywidgets as widgets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import special"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ],
      "text/vnd.plotly.v1+html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "py.offline.init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0, np.pi, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "data": [
        {
         "line": {
          "shape": "spline"
         },
         "mode": "lines",
         "name": "sin(x)",
         "type": "scatter",
         "uid": "1f5340a4-d691-11e8-a119-d017c29ae013",
         "x": [
          0,
          0.0031447373909807737,
          0.006289474781961547,
          0.009434212172942321,
          0.012578949563923095,
          0.01572368695490387,
          0.018868424345884642,
          0.022013161736865416,
          0.02515789912784619,
          0.028302636518826963,
          0.03144737390980774,
          0.034592111300788514,
          0.037736848691769284,
          0.040881586082750054,
          0.04402632347373083,
          0.04717106086471161,
          0.05031579825569238,
          0.05346053564667315,
          0.056605273037653926,
          0.0597500104286347,
          0.06289474781961547,
          0.06603948521059624,
          0.06918422260157703,
          0.0723289599925578,
          0.07547369738353857,
          0.07861843477451934,
          0.08176317216550011,
          0.08490790955648089,
          0.08805264694746166,
          0.09119738433844243,
          0.09434212172942322,
          0.09748685912040399,
          0.10063159651138476,
          0.10377633390236553,
          0.1069210712933463,
          0.11006580868432708,
          0.11321054607530785,
          0.11635528346628862,
          0.1195000208572694,
          0.12264475824825018,
          0.12578949563923095,
          0.12893423303021173,
          0.1320789704211925,
          0.13522370781217327,
          0.13836844520315406,
          0.1415131825941348,
          0.1446579199851156,
          0.14780265737609635,
          0.15094739476707714,
          0.15409213215805792,
          0.15723686954903868,
          0.16038160694001946,
          0.16352634433100022,
          0.166671081721981,
          0.16981581911296179,
          0.17296055650394254,
          0.17610529389492333,
          0.1792500312859041,
          0.18239476867688487,
          0.18553950606786565,
          0.18868424345884643,
          0.1918289808498272,
          0.19497371824080797,
          0.19811845563178873,
          0.20126319302276952,
          0.2044079304137503,
          0.20755266780473106,
          0.21069740519571184,
          0.2138421425866926,
          0.21698687997767338,
          0.22013161736865416,
          0.22327635475963492,
          0.2264210921506157,
          0.2295658295415965,
          0.23271056693257725,
          0.23585530432355803,
          0.2390000417145388,
          0.24214477910551957,
          0.24528951649650035,
          0.2484342538874811,
          0.2515789912784619,
          0.25472372866944265,
          0.25786846606042346,
          0.2610132034514042,
          0.264157940842385,
          0.2673026782333658,
          0.27044741562434654,
          0.2735921530153273,
          0.2767368904063081,
          0.27988162779728887,
          0.2830263651882696,
          0.2861711025792504,
          0.2893158399702312,
          0.29246057736121195,
          0.2956053147521927,
          0.2987500521431735,
          0.3018947895341543,
          0.30503952692513503,
          0.30818426431611584,
          0.3113290017070966,
          0.31447373909807735,
          0.31761847648905817,
          0.3207632138800389,
          0.3239079512710197,
          0.32705268866200043,
          0.33019742605298125,
          0.333342163443962,
          0.33648690083494276,
          0.33963163822592357,
          0.3427763756169043,
          0.3459211130078851,
          0.3490658503988659,
          0.35221058778984665,
          0.3553553251808274,
          0.3585000625718082,
          0.361644799962789,
          0.36478953735376973,
          0.36793427474475054,
          0.3710790121357313,
          0.37422374952671206,
          0.37736848691769287,
          0.3805132243086736,
          0.3836579616996544,
          0.38680269909063514,
          0.38994743648161595,
          0.3930921738725967,
          0.39623691126357746,
          0.3993816486545583,
          0.40252638604553903,
          0.4056711234365198,
          0.4088158608275006,
          0.41196059821848136,
          0.4151053356094621,
          0.4182500730004429,
          0.4213948103914237,
          0.42453954778240444,
          0.4276842851733852,
          0.430829022564366,
          0.43397375995534676,
          0.4371184973463275,
          0.44026323473730833,
          0.4434079721282891,
          0.44655270951926984,
          0.44969744691025065,
          0.4528421843012314,
          0.45598692169221217,
          0.459131659083193,
          0.46227639647417373,
          0.4654211338651545,
          0.4685658712561353,
          0.47171060864711606,
          0.4748553460380968,
          0.4780000834290776,
          0.4811448208200584,
          0.48428955821103914,
          0.4874342956020199,
          0.4905790329930007,
          0.49372377038398146,
          0.4968685077749622,
          0.500013245165943,
          0.5031579825569238,
          0.5063027199479045,
          0.5094474573388853,
          0.5125921947298661,
          0.5157369321208469,
          0.5188816695118277,
          0.5220264069028084,
          0.5251711442937892,
          0.52831588168477,
          0.5314606190757507,
          0.5346053564667316,
          0.5377500938577123,
          0.5408948312486931,
          0.5440395686396738,
          0.5471843060306546,
          0.5503290434216354,
          0.5534737808126162,
          0.556618518203597,
          0.5597632555945777,
          0.5629079929855585,
          0.5660527303765392,
          0.56919746776752,
          0.5723422051585008,
          0.5754869425494816,
          0.5786316799404624,
          0.5817764173314431,
          0.5849211547224239,
          0.5880658921134047,
          0.5912106295043854,
          0.5943553668953663,
          0.597500104286347,
          0.6006448416773278,
          0.6037895790683085,
          0.6069343164592893,
          0.6100790538502701,
          0.6132237912412508,
          0.6163685286322317,
          0.6195132660232124,
          0.6226580034141932,
          0.625802740805174,
          0.6289474781961547,
          0.6320922155871355,
          0.6352369529781163,
          0.6383816903690971,
          0.6415264277600778,
          0.6446711651510586,
          0.6478159025420394,
          0.6509606399330201,
          0.6541053773240009,
          0.6572501147149817,
          0.6603948521059625,
          0.6635395894969432,
          0.666684326887924,
          0.6698290642789048,
          0.6729738016698855,
          0.6761185390608664,
          0.6792632764518471,
          0.6824080138428279,
          0.6855527512338087,
          0.6886974886247894,
          0.6918422260157702,
          0.694986963406751,
          0.6981317007977318,
          0.7012764381887125,
          0.7044211755796933,
          0.7075659129706741,
          0.7107106503616548,
          0.7138553877526356,
          0.7170001251436164,
          0.7201448625345972,
          0.723289599925578,
          0.7264343373165587,
          0.7295790747075395,
          0.7327238120985202,
          0.7358685494895011,
          0.7390132868804818,
          0.7421580242714626,
          0.7453027616624434,
          0.7484474990534241,
          0.7515922364444049,
          0.7547369738353857,
          0.7578817112263665,
          0.7610264486173473,
          0.764171186008328,
          0.7673159233993088,
          0.7704606607902895,
          0.7736053981812703,
          0.7767501355722511,
          0.7798948729632319,
          0.7830396103542127,
          0.7861843477451934,
          0.7893290851361742,
          0.7924738225271549,
          0.7956185599181358,
          0.7987632973091165,
          0.8019080347000973,
          0.8050527720910781,
          0.8081975094820588,
          0.8113422468730396,
          0.8144869842640203,
          0.8176317216550012,
          0.820776459045982,
          0.8239211964369627,
          0.8270659338279435,
          0.8302106712189242,
          0.833355408609905,
          0.8365001460008858,
          0.8396448833918666,
          0.8427896207828474,
          0.8459343581738281,
          0.8490790955648089,
          0.8522238329557896,
          0.8553685703467704,
          0.8585133077377513,
          0.861658045128732,
          0.8648027825197128,
          0.8679475199106935,
          0.8710922573016743,
          0.874236994692655,
          0.8773817320836359,
          0.8805264694746167,
          0.8836712068655974,
          0.8868159442565782,
          0.8899606816475589,
          0.8931054190385397,
          0.8962501564295206,
          0.8993948938205013,
          0.9025396312114821,
          0.9056843686024628,
          0.9088291059934436,
          0.9119738433844243,
          0.9151185807754051,
          0.918263318166386,
          0.9214080555573667,
          0.9245527929483475,
          0.9276975303393282,
          0.930842267730309,
          0.9339870051212897,
          0.9371317425122706,
          0.9402764799032514,
          0.9434212172942321,
          0.9465659546852129,
          0.9497106920761936,
          0.9528554294671744,
          0.9560001668581553,
          0.959144904249136,
          0.9622896416401168,
          0.9654343790310975,
          0.9685791164220783,
          0.971723853813059,
          0.9748685912040398,
          0.9780133285950207,
          0.9811580659860014,
          0.9843028033769822,
          0.9874475407679629,
          0.9905922781589437,
          0.9937370155499244,
          0.9968817529409053,
          1.000026490331886,
          1.0031712277228668,
          1.0063159651138476,
          1.0094607025048283,
          1.012605439895809,
          1.0157501772867898,
          1.0188949146777706,
          1.0220396520687514,
          1.0251843894597321,
          1.028329126850713,
          1.0314738642416938,
          1.0346186016326746,
          1.0377633390236554,
          1.0409080764146361,
          1.0440528138056169,
          1.0471975511965976,
          1.0503422885875784,
          1.0534870259785591,
          1.05663176336954,
          1.0597765007605207,
          1.0629212381515014,
          1.0660659755424822,
          1.0692107129334631,
          1.072355450324444,
          1.0755001877154247,
          1.0786449251064054,
          1.0817896624973862,
          1.084934399888367,
          1.0880791372793477,
          1.0912238746703284,
          1.0943686120613092,
          1.09751334945229,
          1.1006580868432707,
          1.1038028242342515,
          1.1069475616252324,
          1.1100922990162132,
          1.113237036407194,
          1.1163817737981747,
          1.1195265111891555,
          1.1226712485801362,
          1.125815985971117,
          1.1289607233620977,
          1.1321054607530785,
          1.1352501981440593,
          1.13839493553504,
          1.1415396729260208,
          1.1446844103170015,
          1.1478291477079825,
          1.1509738850989633,
          1.154118622489944,
          1.1572633598809248,
          1.1604080972719055,
          1.1635528346628863,
          1.166697572053867,
          1.1698423094448478,
          1.1729870468358286,
          1.1761317842268093,
          1.17927652161779,
          1.1824212590087708,
          1.1855659963997516,
          1.1887107337907326,
          1.1918554711817133,
          1.195000208572694,
          1.1981449459636748,
          1.2012896833546556,
          1.2044344207456363,
          1.207579158136617,
          1.2107238955275978,
          1.2138686329185786,
          1.2170133703095594,
          1.2201581077005401,
          1.2233028450915209,
          1.2264475824825016,
          1.2295923198734826,
          1.2327370572644634,
          1.2358817946554441,
          1.2390265320464249,
          1.2421712694374056,
          1.2453160068283864,
          1.2484607442193671,
          1.251605481610348,
          1.2547502190013287,
          1.2578949563923094,
          1.2610396937832902,
          1.264184431174271,
          1.2673291685652517,
          1.2704739059562327,
          1.2736186433472134,
          1.2767633807381942,
          1.279908118129175,
          1.2830528555201557,
          1.2861975929111364,
          1.2893423303021172,
          1.292487067693098,
          1.2956318050840787,
          1.2987765424750595,
          1.3019212798660402,
          1.305066017257021,
          1.3082107546480017,
          1.3113554920389827,
          1.3145002294299635,
          1.3176449668209442,
          1.320789704211925,
          1.3239344416029057,
          1.3270791789938865,
          1.3302239163848673,
          1.333368653775848,
          1.3365133911668288,
          1.3396581285578095,
          1.3428028659487903,
          1.345947603339771,
          1.349092340730752,
          1.3522370781217328,
          1.3553818155127135,
          1.3585265529036943,
          1.361671290294675,
          1.3648160276856558,
          1.3679607650766366,
          1.3711055024676173,
          1.374250239858598,
          1.3773949772495788,
          1.3805397146405596,
          1.3836844520315403,
          1.386829189422521,
          1.389973926813502,
          1.3931186642044828,
          1.3962634015954636,
          1.3994081389864443,
          1.402552876377425,
          1.4056976137684059,
          1.4088423511593866,
          1.4119870885503674,
          1.4151318259413481,
          1.4182765633323289,
          1.4214213007233096,
          1.4245660381142904,
          1.4277107755052711,
          1.4308555128962521,
          1.4340002502872329,
          1.4371449876782136,
          1.4402897250691944,
          1.4434344624601751,
          1.446579199851156,
          1.4497239372421367,
          1.4528686746331174,
          1.4560134120240982,
          1.459158149415079,
          1.4623028868060597,
          1.4654476241970404,
          1.4685923615880212,
          1.4717370989790022,
          1.474881836369983,
          1.4780265737609637,
          1.4811713111519444,
          1.4843160485429252,
          1.487460785933906,
          1.4906055233248867,
          1.4937502607158675,
          1.4968949981068482,
          1.500039735497829,
          1.5031844728888097,
          1.5063292102797905,
          1.5094739476707715,
          1.5126186850617522,
          1.515763422452733,
          1.5189081598437137,
          1.5220528972346945,
          1.5251976346256753,
          1.528342372016656,
          1.5314871094076368,
          1.5346318467986175,
          1.5377765841895983,
          1.540921321580579,
          1.5440660589715598,
          1.5472107963625406,
          1.5503555337535215,
          1.5535002711445023,
          1.556645008535483,
          1.5597897459264638,
          1.5629344833174446,
          1.5660792207084253,
          1.569223958099406,
          1.5723686954903868,
          1.5755134328813676,
          1.5786581702723483,
          1.581802907663329,
          1.5849476450543099,
          1.5880923824452906,
          1.5912371198362716,
          1.5943818572272523,
          1.597526594618233,
          1.6006713320092139,
          1.6038160694001946,
          1.6069608067911754,
          1.6101055441821561,
          1.6132502815731369,
          1.6163950189641176,
          1.6195397563550984,
          1.6226844937460791,
          1.62582923113706,
          1.6289739685280407,
          1.6321187059190216,
          1.6352634433100024,
          1.6384081807009832,
          1.641552918091964,
          1.6446976554829447,
          1.6478423928739254,
          1.6509871302649062,
          1.654131867655887,
          1.6572766050468677,
          1.6604213424378484,
          1.6635660798288292,
          1.66671081721981,
          1.6698555546107907,
          1.6730002920017717,
          1.6761450293927525,
          1.6792897667837332,
          1.682434504174714,
          1.6855792415656947,
          1.6887239789566755,
          1.6918687163476562,
          1.695013453738637,
          1.6981581911296177,
          1.7013029285205985,
          1.7044476659115793,
          1.70759240330256,
          1.7107371406935408,
          1.7138818780845217,
          1.7170266154755025,
          1.7201713528664833,
          1.723316090257464,
          1.7264608276484448,
          1.7296055650394255,
          1.7327503024304063,
          1.735895039821387,
          1.7390397772123678,
          1.7421845146033486,
          1.7453292519943293,
          1.74847398938531,
          1.751618726776291,
          1.7547634641672718,
          1.7579082015582526,
          1.7610529389492333,
          1.764197676340214,
          1.7673424137311948,
          1.7704871511221756,
          1.7736318885131563,
          1.776776625904137,
          1.7799213632951179,
          1.7830661006860986,
          1.7862108380770794,
          1.7893555754680601,
          1.792500312859041,
          1.7956450502500219,
          1.7987897876410026,
          1.8019345250319834,
          1.8050792624229641,
          1.8082239998139449,
          1.8113687372049256,
          1.8145134745959064,
          1.8176582119868872,
          1.820802949377868,
          1.8239476867688487,
          1.8270924241598294,
          1.8302371615508102,
          1.8333818989417912,
          1.836526636332772,
          1.8396713737237527,
          1.8428161111147334,
          1.8459608485057142,
          1.849105585896695,
          1.8522503232876757,
          1.8553950606786564,
          1.8585397980696372,
          1.861684535460618,
          1.8648292728515987,
          1.8679740102425795,
          1.8711187476335602,
          1.8742634850245412,
          1.877408222415522,
          1.8805529598065027,
          1.8836976971974835,
          1.8868424345884642,
          1.889987171979445,
          1.8931319093704257,
          1.8962766467614065,
          1.8994213841523873,
          1.902566121543368,
          1.9057108589343488,
          1.9088555963253295,
          1.9120003337163105,
          1.9151450711072913,
          1.918289808498272,
          1.9214345458892528,
          1.9245792832802335,
          1.9277240206712143,
          1.930868758062195,
          1.9340134954531758,
          1.9371582328441566,
          1.9403029702351373,
          1.943447707626118,
          1.9465924450170988,
          1.9497371824080796,
          1.9528819197990606,
          1.9560266571900413,
          1.959171394581022,
          1.9623161319720028,
          1.9654608693629836,
          1.9686056067539643,
          1.971750344144945,
          1.9748950815359259,
          1.9780398189269066,
          1.9811845563178874,
          1.9843292937088681,
          1.9874740310998489,
          1.9906187684908296,
          1.9937635058818106,
          1.9969082432727914,
          2.000052980663772,
          2.0031977180547527,
          2.0063424554457336,
          2.009487192836714,
          2.012631930227695,
          2.015776667618676,
          2.0189214050096567,
          2.0220661424006376,
          2.025210879791618,
          2.028355617182599,
          2.0315003545735797,
          2.0346450919645607,
          2.037789829355541,
          2.040934566746522,
          2.0440793041375027,
          2.0472240415284837,
          2.0503687789194642,
          2.053513516310445,
          2.056658253701426,
          2.0598029910924067,
          2.0629477284833877,
          2.0660924658743682,
          2.069237203265349,
          2.0723819406563297,
          2.0755266780473107,
          2.0786714154382913,
          2.0818161528292722,
          2.0849608902202528,
          2.0881056276112337,
          2.0912503650022143,
          2.0943951023931953,
          2.0975398397841762,
          2.1006845771751568,
          2.1038293145661378,
          2.1069740519571183,
          2.1101187893480993,
          2.11326352673908,
          2.116408264130061,
          2.1195530015210413,
          2.1226977389120223,
          2.125842476303003,
          2.128987213693984,
          2.1321319510849643,
          2.1352766884759453,
          2.1384214258669263,
          2.141566163257907,
          2.144710900648888,
          2.1478556380398683,
          2.1510003754308493,
          2.15414511282183,
          2.157289850212811,
          2.1604345876037914,
          2.1635793249947723,
          2.166724062385753,
          2.169868799776734,
          2.1730135371677144,
          2.1761582745586954,
          2.1793030119496763,
          2.182447749340657,
          2.185592486731638,
          2.1887372241226184,
          2.1918819615135994,
          2.19502669890458,
          2.198171436295561,
          2.2013161736865414,
          2.2044609110775224,
          2.207605648468503,
          2.210750385859484,
          2.213895123250465,
          2.2170398606414454,
          2.2201845980324264,
          2.223329335423407,
          2.226474072814388,
          2.2296188102053685,
          2.2327635475963494,
          2.23590828498733,
          2.239053022378311,
          2.2421977597692915,
          2.2453424971602725,
          2.248487234551253,
          2.251631971942234,
          2.254776709333215,
          2.2579214467241955,
          2.2610661841151765,
          2.264210921506157,
          2.267355658897138,
          2.2705003962881185,
          2.2736451336790995,
          2.27678987107008,
          2.279934608461061,
          2.2830793458520415,
          2.2862240832430225,
          2.289368820634003,
          2.292513558024984,
          2.295658295415965,
          2.2988030328069455,
          2.3019477701979265,
          2.305092507588907,
          2.308237244979888,
          2.3113819823708686,
          2.3145267197618495,
          2.31767145715283,
          2.320816194543811,
          2.3239609319347916,
          2.3271056693257726,
          2.330250406716753,
          2.333395144107734,
          2.336539881498715,
          2.3396846188896956,
          2.3428293562806766,
          2.345974093671657,
          2.349118831062638,
          2.3522635684536186,
          2.3554083058445996,
          2.35855304323558,
          2.361697780626561,
          2.3648425180175416,
          2.3679872554085226,
          2.371131992799503,
          2.374276730190484,
          2.377421467581465,
          2.3805662049724456,
          2.3837109423634266,
          2.386855679754407,
          2.390000417145388,
          2.3931451545363687,
          2.3962898919273496,
          2.39943462931833,
          2.402579366709311,
          2.4057241041002917,
          2.4088688414912727,
          2.412013578882253,
          2.415158316273234,
          2.418303053664215,
          2.4214477910551957,
          2.4245925284461767,
          2.427737265837157,
          2.430882003228138,
          2.4340267406191187,
          2.4371714780100997,
          2.4403162154010802,
          2.443460952792061,
          2.4466056901830417,
          2.4497504275740227,
          2.4528951649650033,
          2.4560399023559842,
          2.459184639746965,
          2.4623293771379458,
          2.4654741145289267,
          2.4686188519199073,
          2.4717635893108882,
          2.4749083267018688,
          2.4780530640928498,
          2.4811978014838303,
          2.4843425388748113,
          2.487487276265792,
          2.490632013656773,
          2.4937767510477533,
          2.4969214884387343,
          2.5000662258297153,
          2.503210963220696,
          2.506355700611677,
          2.5095004380026573,
          2.5126451753936383,
          2.515789912784619,
          2.5189346501756,
          2.5220793875665803,
          2.5252241249575613,
          2.528368862348542,
          2.531513599739523,
          2.5346583371305034,
          2.5378030745214843,
          2.5409478119124653,
          2.544092549303446,
          2.547237286694427,
          2.5503820240854074,
          2.5535267614763884,
          2.556671498867369,
          2.55981623625835,
          2.5629609736493304,
          2.5661057110403114,
          2.569250448431292,
          2.572395185822273,
          2.5755399232132534,
          2.5786846606042344,
          2.5818293979952154,
          2.584974135386196,
          2.588118872777177,
          2.5912636101681574,
          2.5944083475591384,
          2.597553084950119,
          2.6006978223411,
          2.6038425597320805,
          2.6069872971230614,
          2.610132034514042,
          2.613276771905023,
          2.6164215092960035,
          2.6195662466869845,
          2.6227109840779654,
          2.625855721468946,
          2.629000458859927,
          2.6321451962509075,
          2.6352899336418885,
          2.638434671032869,
          2.64157940842385,
          2.6447241458148305,
          2.6478688832058115,
          2.651013620596792,
          2.654158357987773,
          2.657303095378754,
          2.6604478327697345,
          2.6635925701607155,
          2.666737307551696,
          2.669882044942677,
          2.6730267823336575,
          2.6761715197246385,
          2.679316257115619,
          2.6824609945066,
          2.6856057318975806,
          2.6887504692885615,
          2.691895206679542,
          2.695039944070523,
          2.698184681461504,
          2.7013294188524846,
          2.7044741562434655,
          2.707618893634446,
          2.710763631025427,
          2.7139083684164076,
          2.7170531058073886,
          2.720197843198369,
          2.72334258058935,
          2.7264873179803306,
          2.7296320553713116,
          2.732776792762292,
          2.735921530153273,
          2.739066267544254,
          2.7422110049352346,
          2.7453557423262156,
          2.748500479717196,
          2.751645217108177,
          2.7547899544991576,
          2.7579346918901386,
          2.761079429281119,
          2.7642241666721,
          2.7673689040630807,
          2.7705136414540616,
          2.773658378845042,
          2.776803116236023,
          2.779947853627004,
          2.7830925910179847,
          2.7862373284089657,
          2.789382065799946,
          2.792526803190927,
          2.7956715405819077,
          2.7988162779728887,
          2.801961015363869,
          2.80510575275485,
          2.8082504901458307,
          2.8113952275368117,
          2.8145399649277922,
          2.817684702318773,
          2.820829439709754,
          2.8239741771007347,
          2.8271189144917157,
          2.8302636518826962,
          2.833408389273677,
          2.8365531266646578,
          2.8396978640556387,
          2.8428426014466193,
          2.8459873388376002,
          2.849132076228581,
          2.8522768136195618,
          2.8554215510105423,
          2.8585662884015233,
          2.8617110257925042,
          2.864855763183485,
          2.8680005005744658,
          2.8711452379654463,
          2.8742899753564273,
          2.877434712747408,
          2.880579450138389,
          2.8837241875293693,
          2.8868689249203503,
          2.890013662311331,
          2.893158399702312,
          2.8963031370932923,
          2.8994478744842733,
          2.9025926118752543,
          2.905737349266235,
          2.908882086657216,
          2.9120268240481963,
          2.9151715614391773,
          2.918316298830158,
          2.921461036221139,
          2.9246057736121194,
          2.9277505110031004,
          2.930895248394081,
          2.934039985785062,
          2.9371847231760424,
          2.9403294605670234,
          2.9434741979580044,
          2.946618935348985,
          2.949763672739966,
          2.9529084101309464,
          2.9560531475219274,
          2.959197884912908,
          2.962342622303889,
          2.9654873596948694,
          2.9686320970858504,
          2.971776834476831,
          2.974921571867812,
          2.9780663092587925,
          2.9812110466497734,
          2.9843557840407544,
          2.987500521431735,
          2.990645258822716,
          2.9937899962136965,
          2.9969347336046774,
          3.000079470995658,
          3.003224208386639,
          3.0063689457776195,
          3.0095136831686005,
          3.012658420559581,
          3.015803157950562,
          3.018947895341543,
          3.0220926327325235,
          3.0252373701235045,
          3.028382107514485,
          3.031526844905466,
          3.0346715822964465,
          3.0378163196874275,
          3.040961057078408,
          3.044105794469389,
          3.0472505318603695,
          3.0503952692513505,
          3.053540006642331,
          3.056684744033312,
          3.059829481424293,
          3.0629742188152735,
          3.0661189562062545,
          3.069263693597235,
          3.072408430988216,
          3.0755531683791966,
          3.0786979057701775,
          3.081842643161158,
          3.084987380552139,
          3.0881321179431196,
          3.0912768553341006,
          3.094421592725081,
          3.097566330116062,
          3.100711067507043,
          3.1038558048980236,
          3.1070005422890046,
          3.110145279679985,
          3.113290017070966,
          3.1164347544619466,
          3.1195794918529276,
          3.122724229243908,
          3.125868966634889,
          3.1290137040258696,
          3.1321584414168506,
          3.135303178807831,
          3.138447916198812,
          3.141592653589793
         ],
         "y": [
          0,
          0.00314473220773636,
          0.006289433316067751,
          0.009434072225896754,
          0.012578617838741058,
          0.015723039057040998,
          0.01886730478446709,
          0.022011383926227562,
          0.025155245389375847,
          0.02829885808311809,
          0.0314421909191206,
          0.03458521281181731,
          0.03772789267871718,
          0.040870199440711574,
          0.04401210202238166,
          0.04715356935230567,
          0.05029457036336618,
          0.053435073993057414,
          0.056575049183792345,
          0.05971446488320988,
          0.06285329004448194,
          0.06599149362662049,
          0.06912904459478454,
          0.072265911920587,
          0.07540206458240159,
          0.0785374715656696,
          0.08167210186320663,
          0.08480592447550919,
          0.08793890841106125,
          0.0910710226866408,
          0.09420223632762625,
          0.09733251836830262,
          0.10046183785216795,
          0.10359016383223929,
          0.10671746537135889,
          0.10984371154250001,
          0.11296887142907283,
          0.11609291412523022,
          0.11921580873617335,
          0.1223375243784572,
          0.12545803018029603,
          0.12857729528186868,
          0.1316952888356236,
          0.1348119800065842,
          0.13792733797265358,
          0.1410413319249193,
          0.1441539310679583,
          0.14726510462014114,
          0.1503748218139367,
          0.15348305189621625,
          0.15658976412855766,
          0.1596949277875494,
          0.1627985121650943,
          0.16590048656871334,
          0.16900082032184907,
          0.172099482764169,
          0.17519644325186898,
          0.17829167115797595,
          0.18138513587265107,
          0.18447680680349232,
          0.18756665337583714,
          0.19065464503306453,
          0.19374075123689763,
          0.19682494146770538,
          0.19990718522480458,
          0.20298745202676133,
          0.20606571141169255,
          0.20914193293756736,
          0.21221608618250787,
          0.2152881407450903,
          0.21835806624464543,
          0.2214258323215591,
          0.22449140863757258,
          0.22755476487608237,
          0.23061587074244014,
          0.23367469596425242,
          0.23673121029167973,
          0.23978538349773595,
          0.24283718537858714,
          0.24588658575385025,
          0.2489335544668916,
          0.25197806138512513,
          0.25502007640031044,
          0.2580595694288502,
          0.2610965104120882,
          0.2641308693166063,
          0.2671626161345213,
          0.27019172088378207,
          0.27321815360846585,
          0.2762418843790744,
          0.27926288329283006,
          0.28228112047397164,
          0.28529656607404974,
          0.2883091902722218,
          0.2913189632755472,
          0.2943258553192818,
          0.2973298366671723,
          0.3003308776117504,
          0.30332894847462666,
          0.3063240196067834,
          0.30931606138886886,
          0.31230504423148947,
          0.31529093857550244,
          0.3182737148923085,
          0.32125334368414366,
          0.3242297954843709,
          0.3272030408577716,
          0.3301730504008367,
          0.33313979474205757,
          0.336103244542216,
          0.33906337049467516,
          0.3420201433256687,
          0.34497353379459045,
          0.34792351269428384,
          0.3508700508513305,
          0.35381311912633867,
          0.3567526884142317,
          0.3596887296445357,
          0.3626212137816669,
          0.36555011182521896,
          0.3684753948102499,
          0.3713970338075681,
          0.37431499992401884,
          0.3772292643027698,
          0.38013979812359666,
          0.38304657260316766,
          0.3859495589953287,
          0.38884872859138747,
          0.3917440527203973,
          0.39463550274944076,
          0.3975230500839129,
          0.40040666616780385,
          0.4032863224839812,
          0.4061619905544724,
          0.4090336419407459,
          0.4119012482439926,
          0.41476478110540693,
          0.4176242122064669,
          0.4204795132692143,
          0.42333065605653436,
          0.4261776123724353,
          0.4290203540623264,
          0.4318588530132973,
          0.4346930811543956,
          0.4375230104569043,
          0.44034861293461924,
          0.4431698606441261,
          0.44598672568507597,
          0.4487991802004621,
          0.451607196376895,
          0.4544107464448774,
          0.45720980267907907,
          0.46000433739861096,
          0.46279432296729894,
          0.46557973179395706,
          0.46836053633266045,
          0.4711367090830178,
          0.47390822259044313,
          0.47667504944642736,
          0.4794371622888097,
          0.4821945338020477,
          0.4849471367174877,
          0.4876949438136345,
          0.49043792791642044,
          0.4931760618994744,
          0.4959093186843894,
          0.49863767124099145,
          0.5013610925876059,
          0.5040795557913246,
          0.5067930339682725,
          0.5095015002838732,
          0.5122049279531143,
          0.5149032902408126,
          0.5175965604618784,
          0.5202847119815789,
          0.5229677182158023,
          0.5256455526313207,
          0.5283181887460514,
          0.5309856001293203,
          0.5336477604021223,
          0.5363046432373824,
          0.5389562223602163,
          0.54160247154819,
          0.544243364631579,
          0.5468788754936273,
          0.549508978070806,
          0.5521336463530702,
          0.554752854384117,
          0.5573665762616421,
          0.5599747861375953,
          0.5625774582184371,
          0.5651745667653928,
          0.5677660860947078,
          0.5703519905779013,
          0.5729322546420199,
          0.5755068527698899,
          0.5780757595003707,
          0.5806389494286055,
          0.5831963972062733,
          0.5857480775418393,
          0.588293965200805,
          0.5908340350059579,
          0.5933682618376204,
          0.5958966206338977,
          0.5984190863909268,
          0.6009356341631229,
          0.6034462390634261,
          0.605950876263548,
          0.608449520994217,
          0.610942148545423,
          0.6134287342666618,
          0.6159092535671796,
          0.6183836819162153,
          0.6208519948432436,
          0.6233141679382166,
          0.6257701768518059,
          0.6282199972956423,
          0.6306636050425571,
          0.6331009759268212,
          0.635532085844384,
          0.6379569107531118,
          0.6403754266730259,
          0.6427876096865393,
          0.6451934359386934,
          0.647592881637394,
          0.6499859230536466,
          0.652372536521791,
          0.6547526984397349,
          0.6571263852691885,
          0.6594935735358959,
          0.661854239829868,
          0.664208360805614,
          0.666555913182372,
          0.6688968737443394,
          0.6712312193409027,
          0.6735589268868658,
          0.675879973362679,
          0.6781943358146663,
          0.6805019913552524,
          0.682802917163189,
          0.6850970904837809,
          0.6873844886291103,
          0.6896650889782618,
          0.6919388689775461,
          0.6942058061407225,
          0.6964658780492217,
          0.6987190623523674,
          0.7009653367675974,
          0.7032046790806838,
          0.7054370671459531,
          0.7076624788865044,
          0.7098808922944285,
          0.7120922854310253,
          0.7142966364270209,
          0.7164939234827832,
          0.7186841248685383,
          0.720867218924585,
          0.7230431840615092,
          0.7252119987603972,
          0.7273736415730486,
          0.7295280911221884,
          0.7316753261016783,
          0.7338153252767277,
          0.7359480674841034,
          0.7380735316323389,
          0.7401916967019435,
          0.7423025417456093,
          0.744406045888419,
          0.7465021883280519,
          0.7485909483349905,
          0.7506723052527243,
          0.7527462384979547,
          0.7548127275607988,
          0.7568717520049917,
          0.7589232914680888,
          0.7609673256616675,
          0.7630038343715273,
          0.7650327974578899,
          0.7670541948555987,
          0.7690680065743167,
          0.7710742126987247,
          0.7730727933887177,
          0.7750637288796015,
          0.7770469994822884,
          0.7790225855834911,
          0.7809904676459174,
          0.7829506262084631,
          0.7849030418864045,
          0.7868476953715899,
          0.7887845674326314,
          0.7907136389150937,
          0.7926348907416847,
          0.7945483039124437,
          0.796453859504929,
          0.7983515386744059,
          0.800241322654032,
          0.8021231927550437,
          0.8039971303669404,
          0.8058631169576691,
          0.8077211340738067,
          0.809571163340744,
          0.8114131864628658,
          0.8132471852237328,
          0.8150731414862622,
          0.8168910371929053,
          0.8187008543658281,
          0.8205025751070875,
          0.8222961815988094,
          0.8240816561033644,
          0.825858980963543,
          0.8276281386027311,
          0.8293891115250827,
          0.8311418823156935,
          0.8328864336407734,
          0.8346227482478172,
          0.8363508089657761,
          0.8380705987052264,
          0.8397821004585397,
          0.8414852973000502,
          0.8431801723862223,
          0.8448667089558177,
          0.8465448903300605,
          0.8482146999128022,
          0.8498761211906863,
          0.8515291377333112,
          0.8531737331933927,
          0.8548098913069259,
          0.8564375958933459,
          0.8580568308556875,
          0.8596675801807452,
          0.8612698279392308,
          0.8628635582859311,
          0.8644487554598649,
          0.8660254037844386,
          0.8675934876676012,
          0.8691529916019988,
          0.8707039001651274,
          0.8722461980194862,
          0.8737798699127284,
          0.8753049006778129,
          0.8768212752331536,
          0.8783289785827686,
          0.8798279958164293,
          0.881318312109807,
          0.8827999127246196,
          0.8842727830087777,
          0.8857369083965293,
          0.8871922744086039,
          0.8886388666523558,
          0.8900766708219059,
          0.8915056726982838,
          0.8929258581495684,
          0.8943372131310272,
          0.8957397236852553,
          0.897133375942314,
          0.8985181561198672,
          0.8998940505233182,
          0.9012610455459447,
          0.902619127669034,
          0.903968283462016,
          0.9053084995825966,
          0.9066397627768893,
          0.9079620598795461,
          0.9092753778138883,
          0.9105797035920355,
          0.9118750243150338,
          0.9131613271729833,
          0.9144385994451657,
          0.9157068285001692,
          0.9169660017960134,
          0.918216106880274,
          0.9194571313902054,
          0.920689063052863,
          0.9219118896852251,
          0.9231255991943123,
          0.9243301795773083,
          0.9255256189216778,
          0.9267119054052849,
          0.9278890272965093,
          0.9290569729543627,
          0.9302157308286042,
          0.9313652894598542,
          0.9325056374797074,
          0.9336367636108461,
          0.934758656667151,
          0.935871305553812,
          0.936974699267438,
          0.9380688268961658,
          0.9391536776197676,
          0.9402292407097589,
          0.9412955055295031,
          0.9423524615343186,
          0.9434000982715812,
          0.9444384053808289,
          0.9454673725938634,
          0.9464869897348525,
          0.9474972467204298,
          0.9484981335597952,
          0.9494896403548133,
          0.9504717573001115,
          0.9514444746831766,
          0.9524077828844514,
          0.9533616723774293,
          0.9543061337287487,
          0.9552411575982869,
          0.956166734739251,
          0.9570828559982708,
          0.9579895123154889,
          0.9588866947246497,
          0.959774394353189,
          0.960652602422321,
          0.9615213102471254,
          0.9623805092366334,
          0.9632301908939126,
          0.9640703468161506,
          0.964900968694739,
          0.9657220483153546,
          0.9665335775580414,
          0.9673355483972902,
          0.9681279529021187,
          0.9689107832361495,
          0.9696840316576876,
          0.970447690519797,
          0.9712017522703762,
          0.9719462094522335,
          0.97268105470316,
          0.9734062807560027,
          0.9741218804387362,
          0.9748278466745341,
          0.9755241724818386,
          0.9762108509744296,
          0.9768878753614925,
          0.9775552389476861,
          0.9782129351332084,
          0.9788609574138615,
          0.9794992993811165,
          0.9801279547221765,
          0.9807469172200396,
          0.9813561807535595,
          0.9819557392975066,
          0.9825455869226277,
          0.9831257177957042,
          0.9836961261796101,
          0.9842568064333687,
          0.984807753012208,
          0.9853489604676164,
          0.9858804234473958,
          0.9864021366957145,
          0.98691409505316,
          0.9874162934567889,
          0.9879087269401781,
          0.9883913906334728,
          0.9888642797634357,
          0.9893273896534935,
          0.9897807157237835,
          0.9902242534911985,
          0.9906579985694317,
          0.9910819466690196,
          0.9914960935973848,
          0.9919004352588768,
          0.9922949676548136,
          0.9926796868835203,
          0.9930545891403677,
          0.9934196707178107,
          0.9937749280054242,
          0.9941203574899392,
          0.9944559557552776,
          0.9947817194825852,
          0.995097645450266,
          0.9954037305340125,
          0.9956999717068377,
          0.9959863660391043,
          0.9962629106985543,
          0.9965296029503367,
          0.9967864401570342,
          0.9970334197786902,
          0.9972705393728327,
          0.9974977965944997,
          0.9977151891962615,
          0.9979227150282433,
          0.9981203720381463,
          0.9983081582712682,
          0.9984860718705224,
          0.9986541110764564,
          0.9988122742272691,
          0.9989605597588274,
          0.9990989662046814,
          0.9992274921960794,
          0.9993461364619809,
          0.9994548978290693,
          0.9995537752217638,
          0.9996427676622299,
          0.9997218742703887,
          0.9997910942639262,
          0.9998504269583004,
          0.9998998717667489,
          0.9999394282002937,
          0.9999690958677468,
          0.999988874475714,
          0.9999987638285974,
          0.9999987638285974,
          0.999988874475714,
          0.9999690958677468,
          0.9999394282002937,
          0.9998998717667489,
          0.9998504269583004,
          0.9997910942639262,
          0.9997218742703887,
          0.9996427676622299,
          0.9995537752217639,
          0.9994548978290693,
          0.9993461364619809,
          0.9992274921960794,
          0.9990989662046815,
          0.9989605597588275,
          0.9988122742272691,
          0.9986541110764565,
          0.9984860718705225,
          0.9983081582712682,
          0.9981203720381463,
          0.9979227150282433,
          0.9977151891962615,
          0.9974977965944997,
          0.9972705393728327,
          0.9970334197786902,
          0.9967864401570343,
          0.9965296029503368,
          0.9962629106985544,
          0.9959863660391044,
          0.9956999717068378,
          0.9954037305340125,
          0.995097645450266,
          0.9947817194825853,
          0.9944559557552776,
          0.9941203574899393,
          0.9937749280054242,
          0.9934196707178107,
          0.9930545891403677,
          0.9926796868835203,
          0.9922949676548137,
          0.991900435258877,
          0.9914960935973848,
          0.9910819466690197,
          0.9906579985694317,
          0.9902242534911986,
          0.9897807157237835,
          0.9893273896534935,
          0.9888642797634357,
          0.9883913906334728,
          0.9879087269401781,
          0.9874162934567889,
          0.98691409505316,
          0.9864021366957146,
          0.9858804234473959,
          0.9853489604676166,
          0.9848077530122081,
          0.9842568064333687,
          0.9836961261796101,
          0.9831257177957042,
          0.9825455869226277,
          0.9819557392975067,
          0.9813561807535596,
          0.9807469172200397,
          0.9801279547221766,
          0.9794992993811165,
          0.9788609574138615,
          0.9782129351332085,
          0.9775552389476863,
          0.9768878753614926,
          0.9762108509744296,
          0.9755241724818388,
          0.9748278466745343,
          0.9741218804387363,
          0.9734062807560028,
          0.9726810547031601,
          0.9719462094522336,
          0.9712017522703763,
          0.970447690519797,
          0.9696840316576877,
          0.9689107832361497,
          0.9681279529021188,
          0.9673355483972903,
          0.9665335775580415,
          0.9657220483153547,
          0.9649009686947391,
          0.9640703468161507,
          0.9632301908939126,
          0.9623805092366335,
          0.9615213102471255,
          0.9606526024223211,
          0.9597743943531891,
          0.9588866947246498,
          0.9579895123154889,
          0.9570828559982709,
          0.9561667347392511,
          0.955241157598287,
          0.9543061337287488,
          0.9533616723774293,
          0.9524077828844515,
          0.9514444746831767,
          0.9504717573001116,
          0.9494896403548134,
          0.9484981335597953,
          0.9474972467204299,
          0.9464869897348526,
          0.9454673725938635,
          0.944438405380829,
          0.9434000982715813,
          0.9423524615343186,
          0.9412955055295033,
          0.940229240709759,
          0.9391536776197678,
          0.9380688268961659,
          0.9369746992674381,
          0.9358713055538121,
          0.9347586566671511,
          0.9336367636108462,
          0.9325056374797075,
          0.9313652894598543,
          0.9302157308286044,
          0.9290569729543628,
          0.9278890272965093,
          0.926711905405285,
          0.9255256189216781,
          0.9243301795773085,
          0.9231255991943124,
          0.9219118896852252,
          0.9206890630528632,
          0.9194571313902055,
          0.9182161068802741,
          0.9169660017960135,
          0.9157068285001693,
          0.9144385994451658,
          0.9131613271729834,
          0.9118750243150338,
          0.9105797035920357,
          0.9092753778138886,
          0.9079620598795464,
          0.9066397627768894,
          0.9053084995825968,
          0.9039682834620162,
          0.902619127669034,
          0.9012610455459448,
          0.8998940505233182,
          0.8985181561198674,
          0.8971333759423141,
          0.8957397236852556,
          0.8943372131310273,
          0.8929258581495686,
          0.891505672698284,
          0.8900766708219061,
          0.8886388666523559,
          0.8871922744086043,
          0.8857369083965295,
          0.8842727830087778,
          0.8827999127246198,
          0.881318312109807,
          0.8798279958164296,
          0.8783289785827687,
          0.8768212752331537,
          0.8753049006778131,
          0.8737798699127287,
          0.8722461980194863,
          0.8707039001651278,
          0.869152991601999,
          0.8675934876676015,
          0.8660254037844387,
          0.864448755459865,
          0.8628635582859312,
          0.8612698279392308,
          0.8596675801807454,
          0.8580568308556876,
          0.856437595893346,
          0.8548098913069261,
          0.853173733193393,
          0.8515291377333114,
          0.8498761211906867,
          0.8482146999128024,
          0.8465448903300608,
          0.844866708955818,
          0.8431801723862224,
          0.8414852973000503,
          0.8397821004585397,
          0.8380705987052266,
          0.8363508089657762,
          0.8346227482478176,
          0.8328864336407735,
          0.8311418823156937,
          0.8293891115250829,
          0.8276281386027314,
          0.8258589809635433,
          0.8240816561033646,
          0.8222961815988096,
          0.8205025751070876,
          0.8187008543658283,
          0.8168910371929055,
          0.8150731414862624,
          0.8132471852237331,
          0.811413186462866,
          0.8095711633407441,
          0.8077211340738071,
          0.8058631169576692,
          0.8039971303669408,
          0.802123192755044,
          0.800241322654032,
          0.798351538674406,
          0.7964538595049291,
          0.7945483039124439,
          0.7926348907416848,
          0.7907136389150939,
          0.7887845674326315,
          0.7868476953715902,
          0.7849030418864046,
          0.7829506262084633,
          0.7809904676459176,
          0.7790225855834915,
          0.7770469994822886,
          0.7750637288796016,
          0.7730727933887178,
          0.7710742126987248,
          0.769068006574317,
          0.7670541948555988,
          0.7650327974578902,
          0.7630038343715274,
          0.7609673256616678,
          0.758923291468089,
          0.756871752004992,
          0.754812727560799,
          0.7527462384979551,
          0.7506723052527244,
          0.7485909483349906,
          0.7465021883280523,
          0.744406045888419,
          0.7423025417456095,
          0.7401916967019436,
          0.7380735316323392,
          0.7359480674841035,
          0.733815325276728,
          0.7316753261016785,
          0.7295280911221887,
          0.7273736415730488,
          0.7252119987603977,
          0.7230431840615095,
          0.720867218924585,
          0.7186841248685385,
          0.7164939234827833,
          0.7142966364270211,
          0.7120922854310255,
          0.7098808922944289,
          0.7076624788865045,
          0.7054370671459533,
          0.7032046790806841,
          0.7009653367675978,
          0.6987190623523676,
          0.6964658780492221,
          0.6942058061407227,
          0.6919388689775462,
          0.6896650889782621,
          0.6873844886291103,
          0.6850970904837811,
          0.6828029171631891,
          0.6805019913552527,
          0.6781943358146665,
          0.6758799733626794,
          0.673558926886866,
          0.6712312193409031,
          0.6688968737443397,
          0.6665559131823724,
          0.6642083608056142,
          0.661854239829868,
          0.6594935735358961,
          0.6571263852691887,
          0.6547526984397353,
          0.6523725365217911,
          0.649985923053647,
          0.6475928816373941,
          0.6451934359386937,
          0.6427876096865395,
          0.6403754266730264,
          0.6379569107531121,
          0.6355320858443845,
          0.6331009759268215,
          0.6306636050425573,
          0.6282199972956426,
          0.625770176851806,
          0.6233141679382169,
          0.6208519948432437,
          0.6183836819162156,
          0.6159092535671797,
          0.6134287342666621,
          0.6109421485454231,
          0.6084495209942175,
          0.6059508762635484,
          0.6034462390634265,
          0.6009356341631231,
          0.5984190863909269,
          0.5958966206338979,
          0.5933682618376205,
          0.5908340350059583,
          0.5882939652008052,
          0.5857480775418397,
          0.5831963972062735,
          0.5806389494286058,
          0.5780757595003709,
          0.5755068527698903,
          0.5729322546420201,
          0.5703519905779019,
          0.567766086094708,
          0.5651745667653929,
          0.5625774582184373,
          0.5599747861375954,
          0.5573665762616424,
          0.5547528543841173,
          0.5521336463530706,
          0.5495089780708062,
          0.5468788754936278,
          0.5442433646315792,
          0.5416024715481904,
          0.5389562223602166,
          0.5363046432373829,
          0.5336477604021226,
          0.5309856001293204,
          0.5283181887460517,
          0.5256455526313208,
          0.5229677182158028,
          0.5202847119815791,
          0.5175965604618787,
          0.5149032902408128,
          0.5122049279531147,
          0.5095015002838734,
          0.5067930339682729,
          0.5040795557913248,
          0.5013610925876063,
          0.4986376712409918,
          0.49590931868438953,
          0.49317606189947466,
          0.4904379279164206,
          0.4876949438136349,
          0.4849471367174879,
          0.4821945338020481,
          0.47943716228880995,
          0.47667504944642786,
          0.47390822259044335,
          0.4711367090830183,
          0.4683605363326608,
          0.4655797317939572,
          0.4627943229672993,
          0.4600043373986111,
          0.4572098026790794,
          0.45441074644487756,
          0.4516071963768954,
          0.44879918020046233,
          0.44598672568507636,
          0.4431698606441263,
          0.44034861293461974,
          0.4375230104569045,
          0.4346930811543961,
          0.4318588530132976,
          0.42902035406232647,
          0.42617761237243557,
          0.4233306560565345,
          0.4204795132692146,
          0.41762421220646706,
          0.4147647811054074,
          0.4119012482439928,
          0.40903364194074626,
          0.4061619905544726,
          0.40328632248398166,
          0.40040666616780407,
          0.3975230500839134,
          0.3946355027494411,
          0.3917440527203974,
          0.3888487285913878,
          0.38594955899532885,
          0.38304657260316805,
          0.38013979812359683,
          0.37722926430277026,
          0.37431499992401907,
          0.3713970338075685,
          0.3684753948102501,
          0.36555011182521946,
          0.3626212137816672,
          0.3596887296445362,
          0.356752688414232,
          0.3538131191263388,
          0.35087005085133083,
          0.347923512694284,
          0.34497353379459084,
          0.3420201433256689,
          0.3390633704946756,
          0.33610324454221624,
          0.33313979474205796,
          0.330173050400837,
          0.3272030408577721,
          0.3242297954843712,
          0.3212533436841442,
          0.3182737148923088,
          0.31529093857550256,
          0.3123050442314898,
          0.309316061388869,
          0.3063240196067838,
          0.3033289484746268,
          0.30033087761175087,
          0.2973298366671725,
          0.29432585531928224,
          0.29131896327554746,
          0.2883091902722223,
          0.28529656607405,
          0.2822811204739722,
          0.2792628832928304,
          0.2762418843790745,
          0.2732181536084662,
          0.27019172088378224,
          0.2671626161345217,
          0.26413086931660645,
          0.26109651041208864,
          0.25805956942885044,
          0.2550200764003109,
          0.2519780613851254,
          0.2489335544668921,
          0.24588658575385056,
          0.24283718537858767,
          0.2397853834977363,
          0.23673121029167987,
          0.23367469596425278,
          0.23061587074244033,
          0.22755476487608275,
          0.22449140863757278,
          0.22142583232155955,
          0.21835806624464565,
          0.21528814074509078,
          0.21221608618250815,
          0.20914193293756786,
          0.20606571141169286,
          0.20298745202676186,
          0.1999071852248049,
          0.19682494146770554,
          0.193740751236898,
          0.1906546450330647,
          0.18756665337583753,
          0.18447680680349254,
          0.1813851358726515,
          0.17829167115797617,
          0.17519644325186945,
          0.17209948276416928,
          0.16900082032184957,
          0.16590048656871365,
          0.16279851216509486,
          0.15969492778754976,
          0.15658976412855782,
          0.15348305189621664,
          0.15037482181393688,
          0.14726510462014156,
          0.14415393106795849,
          0.14104133192491974,
          0.1379273379726538,
          0.1348119800065847,
          0.13169528883562387,
          0.12857729528186918,
          0.12545803018029636,
          0.12233752437845731,
          0.11921580873617368,
          0.11609291412523036,
          0.1129688714290732,
          0.10984371154250018,
          0.10671746537135932,
          0.10359016383223951,
          0.10046183785216839,
          0.09733251836830287,
          0.09420223632762673,
          0.09107102268664109,
          0.08793890841106176,
          0.0848059244755095,
          0.08167210186320675,
          0.07853747156566997,
          0.07540206458240174,
          0.07226591192058739,
          0.06912904459478472,
          0.06599149362662092,
          0.06285329004448216,
          0.05971446488321034,
          0.0565750491837926,
          0.05343507399305791,
          0.05029457036336647,
          0.04715356935230619,
          0.04401210202238198,
          0.04087019944071169,
          0.03772789267871753,
          0.034585212811817465,
          0.031442190919120996,
          0.028298858083118276,
          0.025155245389376274,
          0.022011383926227784,
          0.01886730478446755,
          0.015723039057041255,
          0.012578617838741556,
          0.009434072225897046,
          0.006289433316068282,
          0.0031447322077366876,
          1.2246467991473532e-16
         ]
        }
       ],
       "layout": {
        "title": "Simple Example",
        "xaxis": {
         "title": "nanoseconds"
        },
        "yaxis": {
         "title": "volts"
        }
       }
      },
      "text/html": [
       "<div id=\"78d6720a-1af1-4c95-b18b-7427c6e6c0dc\" style=\"height: 525px; width: 100%;\" class=\"plotly-graph-div\"></div><script type=\"text/javascript\">require([\"plotly\"], function(Plotly) { window.PLOTLYENV=window.PLOTLYENV || {};window.PLOTLYENV.BASE_URL=\"https://plot.ly\";Plotly.newPlot(\"78d6720a-1af1-4c95-b18b-7427c6e6c0dc\", [{\"line\": {\"shape\": \"spline\"}, \"mode\": \"lines\", \"name\": \"sin(x)\", \"x\": [0.0, 0.0031447373909807737, 0.006289474781961547, 0.009434212172942321, 0.012578949563923095, 0.01572368695490387, 0.018868424345884642, 0.022013161736865416, 0.02515789912784619, 0.028302636518826963, 0.03144737390980774, 0.034592111300788514, 0.037736848691769284, 0.040881586082750054, 0.04402632347373083, 0.04717106086471161, 0.05031579825569238, 0.05346053564667315, 0.056605273037653926, 0.0597500104286347, 0.06289474781961547, 0.06603948521059624, 0.06918422260157703, 0.0723289599925578, 0.07547369738353857, 0.07861843477451934, 0.08176317216550011, 0.08490790955648089, 0.08805264694746166, 0.09119738433844243, 0.09434212172942322, 0.09748685912040399, 0.10063159651138476, 0.10377633390236553, 0.1069210712933463, 0.11006580868432708, 0.11321054607530785, 0.11635528346628862, 0.1195000208572694, 0.12264475824825018, 0.12578949563923095, 0.12893423303021173, 0.1320789704211925, 0.13522370781217327, 0.13836844520315406, 0.1415131825941348, 0.1446579199851156, 0.14780265737609635, 0.15094739476707714, 0.15409213215805792, 0.15723686954903868, 0.16038160694001946, 0.16352634433100022, 0.166671081721981, 0.16981581911296179, 0.17296055650394254, 0.17610529389492333, 0.1792500312859041, 0.18239476867688487, 0.18553950606786565, 0.18868424345884643, 0.1918289808498272, 0.19497371824080797, 0.19811845563178873, 0.20126319302276952, 0.2044079304137503, 0.20755266780473106, 0.21069740519571184, 0.2138421425866926, 0.21698687997767338, 0.22013161736865416, 0.22327635475963492, 0.2264210921506157, 0.2295658295415965, 0.23271056693257725, 0.23585530432355803, 0.2390000417145388, 0.24214477910551957, 0.24528951649650035, 0.2484342538874811, 0.2515789912784619, 0.25472372866944265, 0.25786846606042346, 0.2610132034514042, 0.264157940842385, 0.2673026782333658, 0.27044741562434654, 0.2735921530153273, 0.2767368904063081, 0.27988162779728887, 0.2830263651882696, 0.2861711025792504, 0.2893158399702312, 0.29246057736121195, 0.2956053147521927, 0.2987500521431735, 0.3018947895341543, 0.30503952692513503, 0.30818426431611584, 0.3113290017070966, 0.31447373909807735, 0.31761847648905817, 0.3207632138800389, 0.3239079512710197, 0.32705268866200043, 0.33019742605298125, 0.333342163443962, 0.33648690083494276, 0.33963163822592357, 0.3427763756169043, 0.3459211130078851, 0.3490658503988659, 0.35221058778984665, 0.3553553251808274, 0.3585000625718082, 0.361644799962789, 0.36478953735376973, 0.36793427474475054, 0.3710790121357313, 0.37422374952671206, 0.37736848691769287, 0.3805132243086736, 0.3836579616996544, 0.38680269909063514, 0.38994743648161595, 0.3930921738725967, 0.39623691126357746, 0.3993816486545583, 0.40252638604553903, 0.4056711234365198, 0.4088158608275006, 0.41196059821848136, 0.4151053356094621, 0.4182500730004429, 0.4213948103914237, 0.42453954778240444, 0.4276842851733852, 0.430829022564366, 0.43397375995534676, 0.4371184973463275, 0.44026323473730833, 0.4434079721282891, 0.44655270951926984, 0.44969744691025065, 0.4528421843012314, 0.45598692169221217, 0.459131659083193, 0.46227639647417373, 0.4654211338651545, 0.4685658712561353, 0.47171060864711606, 0.4748553460380968, 0.4780000834290776, 0.4811448208200584, 0.48428955821103914, 0.4874342956020199, 0.4905790329930007, 0.49372377038398146, 0.4968685077749622, 0.500013245165943, 0.5031579825569238, 0.5063027199479045, 0.5094474573388853, 0.5125921947298661, 0.5157369321208469, 0.5188816695118277, 0.5220264069028084, 0.5251711442937892, 0.52831588168477, 0.5314606190757507, 0.5346053564667316, 0.5377500938577123, 0.5408948312486931, 0.5440395686396738, 0.5471843060306546, 0.5503290434216354, 0.5534737808126162, 0.556618518203597, 0.5597632555945777, 0.5629079929855585, 0.5660527303765392, 0.56919746776752, 0.5723422051585008, 0.5754869425494816, 0.5786316799404624, 0.5817764173314431, 0.5849211547224239, 0.5880658921134047, 0.5912106295043854, 0.5943553668953663, 0.597500104286347, 0.6006448416773278, 0.6037895790683085, 0.6069343164592893, 0.6100790538502701, 0.6132237912412508, 0.6163685286322317, 0.6195132660232124, 0.6226580034141932, 0.625802740805174, 0.6289474781961547, 0.6320922155871355, 0.6352369529781163, 0.6383816903690971, 0.6415264277600778, 0.6446711651510586, 0.6478159025420394, 0.6509606399330201, 0.6541053773240009, 0.6572501147149817, 0.6603948521059625, 0.6635395894969432, 0.666684326887924, 0.6698290642789048, 0.6729738016698855, 0.6761185390608664, 0.6792632764518471, 0.6824080138428279, 0.6855527512338087, 0.6886974886247894, 0.6918422260157702, 0.694986963406751, 0.6981317007977318, 0.7012764381887125, 0.7044211755796933, 0.7075659129706741, 0.7107106503616548, 0.7138553877526356, 0.7170001251436164, 0.7201448625345972, 0.723289599925578, 0.7264343373165587, 0.7295790747075395, 0.7327238120985202, 0.7358685494895011, 0.7390132868804818, 0.7421580242714626, 0.7453027616624434, 0.7484474990534241, 0.7515922364444049, 0.7547369738353857, 0.7578817112263665, 0.7610264486173473, 0.764171186008328, 0.7673159233993088, 0.7704606607902895, 0.7736053981812703, 0.7767501355722511, 0.7798948729632319, 0.7830396103542127, 0.7861843477451934, 0.7893290851361742, 0.7924738225271549, 0.7956185599181358, 0.7987632973091165, 0.8019080347000973, 0.8050527720910781, 0.8081975094820588, 0.8113422468730396, 0.8144869842640203, 0.8176317216550012, 0.820776459045982, 0.8239211964369627, 0.8270659338279435, 0.8302106712189242, 0.833355408609905, 0.8365001460008858, 0.8396448833918666, 0.8427896207828474, 0.8459343581738281, 0.8490790955648089, 0.8522238329557896, 0.8553685703467704, 0.8585133077377513, 0.861658045128732, 0.8648027825197128, 0.8679475199106935, 0.8710922573016743, 0.874236994692655, 0.8773817320836359, 0.8805264694746167, 0.8836712068655974, 0.8868159442565782, 0.8899606816475589, 0.8931054190385397, 0.8962501564295206, 0.8993948938205013, 0.9025396312114821, 0.9056843686024628, 0.9088291059934436, 0.9119738433844243, 0.9151185807754051, 0.918263318166386, 0.9214080555573667, 0.9245527929483475, 0.9276975303393282, 0.930842267730309, 0.9339870051212897, 0.9371317425122706, 0.9402764799032514, 0.9434212172942321, 0.9465659546852129, 0.9497106920761936, 0.9528554294671744, 0.9560001668581553, 0.959144904249136, 0.9622896416401168, 0.9654343790310975, 0.9685791164220783, 0.971723853813059, 0.9748685912040398, 0.9780133285950207, 0.9811580659860014, 0.9843028033769822, 0.9874475407679629, 0.9905922781589437, 0.9937370155499244, 0.9968817529409053, 1.000026490331886, 1.0031712277228668, 1.0063159651138476, 1.0094607025048283, 1.012605439895809, 1.0157501772867898, 1.0188949146777706, 1.0220396520687514, 1.0251843894597321, 1.028329126850713, 1.0314738642416938, 1.0346186016326746, 1.0377633390236554, 1.0409080764146361, 1.0440528138056169, 1.0471975511965976, 1.0503422885875784, 1.0534870259785591, 1.05663176336954, 1.0597765007605207, 1.0629212381515014, 1.0660659755424822, 1.0692107129334631, 1.072355450324444, 1.0755001877154247, 1.0786449251064054, 1.0817896624973862, 1.084934399888367, 1.0880791372793477, 1.0912238746703284, 1.0943686120613092, 1.09751334945229, 1.1006580868432707, 1.1038028242342515, 1.1069475616252324, 1.1100922990162132, 1.113237036407194, 1.1163817737981747, 1.1195265111891555, 1.1226712485801362, 1.125815985971117, 1.1289607233620977, 1.1321054607530785, 1.1352501981440593, 1.13839493553504, 1.1415396729260208, 1.1446844103170015, 1.1478291477079825, 1.1509738850989633, 1.154118622489944, 1.1572633598809248, 1.1604080972719055, 1.1635528346628863, 1.166697572053867, 1.1698423094448478, 1.1729870468358286, 1.1761317842268093, 1.17927652161779, 1.1824212590087708, 1.1855659963997516, 1.1887107337907326, 1.1918554711817133, 1.195000208572694, 1.1981449459636748, 1.2012896833546556, 1.2044344207456363, 1.207579158136617, 1.2107238955275978, 1.2138686329185786, 1.2170133703095594, 1.2201581077005401, 1.2233028450915209, 1.2264475824825016, 1.2295923198734826, 1.2327370572644634, 1.2358817946554441, 1.2390265320464249, 1.2421712694374056, 1.2453160068283864, 1.2484607442193671, 1.251605481610348, 1.2547502190013287, 1.2578949563923094, 1.2610396937832902, 1.264184431174271, 1.2673291685652517, 1.2704739059562327, 1.2736186433472134, 1.2767633807381942, 1.279908118129175, 1.2830528555201557, 1.2861975929111364, 1.2893423303021172, 1.292487067693098, 1.2956318050840787, 1.2987765424750595, 1.3019212798660402, 1.305066017257021, 1.3082107546480017, 1.3113554920389827, 1.3145002294299635, 1.3176449668209442, 1.320789704211925, 1.3239344416029057, 1.3270791789938865, 1.3302239163848673, 1.333368653775848, 1.3365133911668288, 1.3396581285578095, 1.3428028659487903, 1.345947603339771, 1.349092340730752, 1.3522370781217328, 1.3553818155127135, 1.3585265529036943, 1.361671290294675, 1.3648160276856558, 1.3679607650766366, 1.3711055024676173, 1.374250239858598, 1.3773949772495788, 1.3805397146405596, 1.3836844520315403, 1.386829189422521, 1.389973926813502, 1.3931186642044828, 1.3962634015954636, 1.3994081389864443, 1.402552876377425, 1.4056976137684059, 1.4088423511593866, 1.4119870885503674, 1.4151318259413481, 1.4182765633323289, 1.4214213007233096, 1.4245660381142904, 1.4277107755052711, 1.4308555128962521, 1.4340002502872329, 1.4371449876782136, 1.4402897250691944, 1.4434344624601751, 1.446579199851156, 1.4497239372421367, 1.4528686746331174, 1.4560134120240982, 1.459158149415079, 1.4623028868060597, 1.4654476241970404, 1.4685923615880212, 1.4717370989790022, 1.474881836369983, 1.4780265737609637, 1.4811713111519444, 1.4843160485429252, 1.487460785933906, 1.4906055233248867, 1.4937502607158675, 1.4968949981068482, 1.500039735497829, 1.5031844728888097, 1.5063292102797905, 1.5094739476707715, 1.5126186850617522, 1.515763422452733, 1.5189081598437137, 1.5220528972346945, 1.5251976346256753, 1.528342372016656, 1.5314871094076368, 1.5346318467986175, 1.5377765841895983, 1.540921321580579, 1.5440660589715598, 1.5472107963625406, 1.5503555337535215, 1.5535002711445023, 1.556645008535483, 1.5597897459264638, 1.5629344833174446, 1.5660792207084253, 1.569223958099406, 1.5723686954903868, 1.5755134328813676, 1.5786581702723483, 1.581802907663329, 1.5849476450543099, 1.5880923824452906, 1.5912371198362716, 1.5943818572272523, 1.597526594618233, 1.6006713320092139, 1.6038160694001946, 1.6069608067911754, 1.6101055441821561, 1.6132502815731369, 1.6163950189641176, 1.6195397563550984, 1.6226844937460791, 1.62582923113706, 1.6289739685280407, 1.6321187059190216, 1.6352634433100024, 1.6384081807009832, 1.641552918091964, 1.6446976554829447, 1.6478423928739254, 1.6509871302649062, 1.654131867655887, 1.6572766050468677, 1.6604213424378484, 1.6635660798288292, 1.66671081721981, 1.6698555546107907, 1.6730002920017717, 1.6761450293927525, 1.6792897667837332, 1.682434504174714, 1.6855792415656947, 1.6887239789566755, 1.6918687163476562, 1.695013453738637, 1.6981581911296177, 1.7013029285205985, 1.7044476659115793, 1.70759240330256, 1.7107371406935408, 1.7138818780845217, 1.7170266154755025, 1.7201713528664833, 1.723316090257464, 1.7264608276484448, 1.7296055650394255, 1.7327503024304063, 1.735895039821387, 1.7390397772123678, 1.7421845146033486, 1.7453292519943293, 1.74847398938531, 1.751618726776291, 1.7547634641672718, 1.7579082015582526, 1.7610529389492333, 1.764197676340214, 1.7673424137311948, 1.7704871511221756, 1.7736318885131563, 1.776776625904137, 1.7799213632951179, 1.7830661006860986, 1.7862108380770794, 1.7893555754680601, 1.792500312859041, 1.7956450502500219, 1.7987897876410026, 1.8019345250319834, 1.8050792624229641, 1.8082239998139449, 1.8113687372049256, 1.8145134745959064, 1.8176582119868872, 1.820802949377868, 1.8239476867688487, 1.8270924241598294, 1.8302371615508102, 1.8333818989417912, 1.836526636332772, 1.8396713737237527, 1.8428161111147334, 1.8459608485057142, 1.849105585896695, 1.8522503232876757, 1.8553950606786564, 1.8585397980696372, 1.861684535460618, 1.8648292728515987, 1.8679740102425795, 1.8711187476335602, 1.8742634850245412, 1.877408222415522, 1.8805529598065027, 1.8836976971974835, 1.8868424345884642, 1.889987171979445, 1.8931319093704257, 1.8962766467614065, 1.8994213841523873, 1.902566121543368, 1.9057108589343488, 1.9088555963253295, 1.9120003337163105, 1.9151450711072913, 1.918289808498272, 1.9214345458892528, 1.9245792832802335, 1.9277240206712143, 1.930868758062195, 1.9340134954531758, 1.9371582328441566, 1.9403029702351373, 1.943447707626118, 1.9465924450170988, 1.9497371824080796, 1.9528819197990606, 1.9560266571900413, 1.959171394581022, 1.9623161319720028, 1.9654608693629836, 1.9686056067539643, 1.971750344144945, 1.9748950815359259, 1.9780398189269066, 1.9811845563178874, 1.9843292937088681, 1.9874740310998489, 1.9906187684908296, 1.9937635058818106, 1.9969082432727914, 2.000052980663772, 2.0031977180547527, 2.0063424554457336, 2.009487192836714, 2.012631930227695, 2.015776667618676, 2.0189214050096567, 2.0220661424006376, 2.025210879791618, 2.028355617182599, 2.0315003545735797, 2.0346450919645607, 2.037789829355541, 2.040934566746522, 2.0440793041375027, 2.0472240415284837, 2.0503687789194642, 2.053513516310445, 2.056658253701426, 2.0598029910924067, 2.0629477284833877, 2.0660924658743682, 2.069237203265349, 2.0723819406563297, 2.0755266780473107, 2.0786714154382913, 2.0818161528292722, 2.0849608902202528, 2.0881056276112337, 2.0912503650022143, 2.0943951023931953, 2.0975398397841762, 2.1006845771751568, 2.1038293145661378, 2.1069740519571183, 2.1101187893480993, 2.11326352673908, 2.116408264130061, 2.1195530015210413, 2.1226977389120223, 2.125842476303003, 2.128987213693984, 2.1321319510849643, 2.1352766884759453, 2.1384214258669263, 2.141566163257907, 2.144710900648888, 2.1478556380398683, 2.1510003754308493, 2.15414511282183, 2.157289850212811, 2.1604345876037914, 2.1635793249947723, 2.166724062385753, 2.169868799776734, 2.1730135371677144, 2.1761582745586954, 2.1793030119496763, 2.182447749340657, 2.185592486731638, 2.1887372241226184, 2.1918819615135994, 2.19502669890458, 2.198171436295561, 2.2013161736865414, 2.2044609110775224, 2.207605648468503, 2.210750385859484, 2.213895123250465, 2.2170398606414454, 2.2201845980324264, 2.223329335423407, 2.226474072814388, 2.2296188102053685, 2.2327635475963494, 2.23590828498733, 2.239053022378311, 2.2421977597692915, 2.2453424971602725, 2.248487234551253, 2.251631971942234, 2.254776709333215, 2.2579214467241955, 2.2610661841151765, 2.264210921506157, 2.267355658897138, 2.2705003962881185, 2.2736451336790995, 2.27678987107008, 2.279934608461061, 2.2830793458520415, 2.2862240832430225, 2.289368820634003, 2.292513558024984, 2.295658295415965, 2.2988030328069455, 2.3019477701979265, 2.305092507588907, 2.308237244979888, 2.3113819823708686, 2.3145267197618495, 2.31767145715283, 2.320816194543811, 2.3239609319347916, 2.3271056693257726, 2.330250406716753, 2.333395144107734, 2.336539881498715, 2.3396846188896956, 2.3428293562806766, 2.345974093671657, 2.349118831062638, 2.3522635684536186, 2.3554083058445996, 2.35855304323558, 2.361697780626561, 2.3648425180175416, 2.3679872554085226, 2.371131992799503, 2.374276730190484, 2.377421467581465, 2.3805662049724456, 2.3837109423634266, 2.386855679754407, 2.390000417145388, 2.3931451545363687, 2.3962898919273496, 2.39943462931833, 2.402579366709311, 2.4057241041002917, 2.4088688414912727, 2.412013578882253, 2.415158316273234, 2.418303053664215, 2.4214477910551957, 2.4245925284461767, 2.427737265837157, 2.430882003228138, 2.4340267406191187, 2.4371714780100997, 2.4403162154010802, 2.443460952792061, 2.4466056901830417, 2.4497504275740227, 2.4528951649650033, 2.4560399023559842, 2.459184639746965, 2.4623293771379458, 2.4654741145289267, 2.4686188519199073, 2.4717635893108882, 2.4749083267018688, 2.4780530640928498, 2.4811978014838303, 2.4843425388748113, 2.487487276265792, 2.490632013656773, 2.4937767510477533, 2.4969214884387343, 2.5000662258297153, 2.503210963220696, 2.506355700611677, 2.5095004380026573, 2.5126451753936383, 2.515789912784619, 2.5189346501756, 2.5220793875665803, 2.5252241249575613, 2.528368862348542, 2.531513599739523, 2.5346583371305034, 2.5378030745214843, 2.5409478119124653, 2.544092549303446, 2.547237286694427, 2.5503820240854074, 2.5535267614763884, 2.556671498867369, 2.55981623625835, 2.5629609736493304, 2.5661057110403114, 2.569250448431292, 2.572395185822273, 2.5755399232132534, 2.5786846606042344, 2.5818293979952154, 2.584974135386196, 2.588118872777177, 2.5912636101681574, 2.5944083475591384, 2.597553084950119, 2.6006978223411, 2.6038425597320805, 2.6069872971230614, 2.610132034514042, 2.613276771905023, 2.6164215092960035, 2.6195662466869845, 2.6227109840779654, 2.625855721468946, 2.629000458859927, 2.6321451962509075, 2.6352899336418885, 2.638434671032869, 2.64157940842385, 2.6447241458148305, 2.6478688832058115, 2.651013620596792, 2.654158357987773, 2.657303095378754, 2.6604478327697345, 2.6635925701607155, 2.666737307551696, 2.669882044942677, 2.6730267823336575, 2.6761715197246385, 2.679316257115619, 2.6824609945066, 2.6856057318975806, 2.6887504692885615, 2.691895206679542, 2.695039944070523, 2.698184681461504, 2.7013294188524846, 2.7044741562434655, 2.707618893634446, 2.710763631025427, 2.7139083684164076, 2.7170531058073886, 2.720197843198369, 2.72334258058935, 2.7264873179803306, 2.7296320553713116, 2.732776792762292, 2.735921530153273, 2.739066267544254, 2.7422110049352346, 2.7453557423262156, 2.748500479717196, 2.751645217108177, 2.7547899544991576, 2.7579346918901386, 2.761079429281119, 2.7642241666721, 2.7673689040630807, 2.7705136414540616, 2.773658378845042, 2.776803116236023, 2.779947853627004, 2.7830925910179847, 2.7862373284089657, 2.789382065799946, 2.792526803190927, 2.7956715405819077, 2.7988162779728887, 2.801961015363869, 2.80510575275485, 2.8082504901458307, 2.8113952275368117, 2.8145399649277922, 2.817684702318773, 2.820829439709754, 2.8239741771007347, 2.8271189144917157, 2.8302636518826962, 2.833408389273677, 2.8365531266646578, 2.8396978640556387, 2.8428426014466193, 2.8459873388376002, 2.849132076228581, 2.8522768136195618, 2.8554215510105423, 2.8585662884015233, 2.8617110257925042, 2.864855763183485, 2.8680005005744658, 2.8711452379654463, 2.8742899753564273, 2.877434712747408, 2.880579450138389, 2.8837241875293693, 2.8868689249203503, 2.890013662311331, 2.893158399702312, 2.8963031370932923, 2.8994478744842733, 2.9025926118752543, 2.905737349266235, 2.908882086657216, 2.9120268240481963, 2.9151715614391773, 2.918316298830158, 2.921461036221139, 2.9246057736121194, 2.9277505110031004, 2.930895248394081, 2.934039985785062, 2.9371847231760424, 2.9403294605670234, 2.9434741979580044, 2.946618935348985, 2.949763672739966, 2.9529084101309464, 2.9560531475219274, 2.959197884912908, 2.962342622303889, 2.9654873596948694, 2.9686320970858504, 2.971776834476831, 2.974921571867812, 2.9780663092587925, 2.9812110466497734, 2.9843557840407544, 2.987500521431735, 2.990645258822716, 2.9937899962136965, 2.9969347336046774, 3.000079470995658, 3.003224208386639, 3.0063689457776195, 3.0095136831686005, 3.012658420559581, 3.015803157950562, 3.018947895341543, 3.0220926327325235, 3.0252373701235045, 3.028382107514485, 3.031526844905466, 3.0346715822964465, 3.0378163196874275, 3.040961057078408, 3.044105794469389, 3.0472505318603695, 3.0503952692513505, 3.053540006642331, 3.056684744033312, 3.059829481424293, 3.0629742188152735, 3.0661189562062545, 3.069263693597235, 3.072408430988216, 3.0755531683791966, 3.0786979057701775, 3.081842643161158, 3.084987380552139, 3.0881321179431196, 3.0912768553341006, 3.094421592725081, 3.097566330116062, 3.100711067507043, 3.1038558048980236, 3.1070005422890046, 3.110145279679985, 3.113290017070966, 3.1164347544619466, 3.1195794918529276, 3.122724229243908, 3.125868966634889, 3.1290137040258696, 3.1321584414168506, 3.135303178807831, 3.138447916198812, 3.141592653589793], \"y\": [0.0, 0.00314473220773636, 0.006289433316067751, 0.009434072225896754, 0.012578617838741058, 0.015723039057040998, 0.01886730478446709, 0.022011383926227562, 0.025155245389375847, 0.02829885808311809, 0.0314421909191206, 0.03458521281181731, 0.03772789267871718, 0.040870199440711574, 0.04401210202238166, 0.04715356935230567, 0.05029457036336618, 0.053435073993057414, 0.056575049183792345, 0.05971446488320988, 0.06285329004448194, 0.06599149362662049, 0.06912904459478454, 0.072265911920587, 0.07540206458240159, 0.0785374715656696, 0.08167210186320663, 0.08480592447550919, 0.08793890841106125, 0.0910710226866408, 0.09420223632762625, 0.09733251836830262, 0.10046183785216795, 0.10359016383223929, 0.10671746537135889, 0.10984371154250001, 0.11296887142907283, 0.11609291412523022, 0.11921580873617335, 0.1223375243784572, 0.12545803018029603, 0.12857729528186868, 0.1316952888356236, 0.1348119800065842, 0.13792733797265358, 0.1410413319249193, 0.1441539310679583, 0.14726510462014114, 0.1503748218139367, 0.15348305189621625, 0.15658976412855766, 0.1596949277875494, 0.1627985121650943, 0.16590048656871334, 0.16900082032184907, 0.172099482764169, 0.17519644325186898, 0.17829167115797595, 0.18138513587265107, 0.18447680680349232, 0.18756665337583714, 0.19065464503306453, 0.19374075123689763, 0.19682494146770538, 0.19990718522480458, 0.20298745202676133, 0.20606571141169255, 0.20914193293756736, 0.21221608618250787, 0.2152881407450903, 0.21835806624464543, 0.2214258323215591, 0.22449140863757258, 0.22755476487608237, 0.23061587074244014, 0.23367469596425242, 0.23673121029167973, 0.23978538349773595, 0.24283718537858714, 0.24588658575385025, 0.2489335544668916, 0.25197806138512513, 0.25502007640031044, 0.2580595694288502, 0.2610965104120882, 0.2641308693166063, 0.2671626161345213, 0.27019172088378207, 0.27321815360846585, 0.2762418843790744, 0.27926288329283006, 0.28228112047397164, 0.28529656607404974, 0.2883091902722218, 0.2913189632755472, 0.2943258553192818, 0.2973298366671723, 0.3003308776117504, 0.30332894847462666, 0.3063240196067834, 0.30931606138886886, 0.31230504423148947, 0.31529093857550244, 0.3182737148923085, 0.32125334368414366, 0.3242297954843709, 0.3272030408577716, 0.3301730504008367, 0.33313979474205757, 0.336103244542216, 0.33906337049467516, 0.3420201433256687, 0.34497353379459045, 0.34792351269428384, 0.3508700508513305, 0.35381311912633867, 0.3567526884142317, 0.3596887296445357, 0.3626212137816669, 0.36555011182521896, 0.3684753948102499, 0.3713970338075681, 0.37431499992401884, 0.3772292643027698, 0.38013979812359666, 0.38304657260316766, 0.3859495589953287, 0.38884872859138747, 0.3917440527203973, 0.39463550274944076, 0.3975230500839129, 0.40040666616780385, 0.4032863224839812, 0.4061619905544724, 0.4090336419407459, 0.4119012482439926, 0.41476478110540693, 0.4176242122064669, 0.4204795132692143, 0.42333065605653436, 0.4261776123724353, 0.4290203540623264, 0.4318588530132973, 0.4346930811543956, 0.4375230104569043, 0.44034861293461924, 0.4431698606441261, 0.44598672568507597, 0.4487991802004621, 0.451607196376895, 0.4544107464448774, 0.45720980267907907, 0.46000433739861096, 0.46279432296729894, 0.46557973179395706, 0.46836053633266045, 0.4711367090830178, 0.47390822259044313, 0.47667504944642736, 0.4794371622888097, 0.4821945338020477, 0.4849471367174877, 0.4876949438136345, 0.49043792791642044, 0.4931760618994744, 0.4959093186843894, 0.49863767124099145, 0.5013610925876059, 0.5040795557913246, 0.5067930339682725, 0.5095015002838732, 0.5122049279531143, 0.5149032902408126, 0.5175965604618784, 0.5202847119815789, 0.5229677182158023, 0.5256455526313207, 0.5283181887460514, 0.5309856001293203, 0.5336477604021223, 0.5363046432373824, 0.5389562223602163, 0.54160247154819, 0.544243364631579, 0.5468788754936273, 0.549508978070806, 0.5521336463530702, 0.554752854384117, 0.5573665762616421, 0.5599747861375953, 0.5625774582184371, 0.5651745667653928, 0.5677660860947078, 0.5703519905779013, 0.5729322546420199, 0.5755068527698899, 0.5780757595003707, 0.5806389494286055, 0.5831963972062733, 0.5857480775418393, 0.588293965200805, 0.5908340350059579, 0.5933682618376204, 0.5958966206338977, 0.5984190863909268, 0.6009356341631229, 0.6034462390634261, 0.605950876263548, 0.608449520994217, 0.610942148545423, 0.6134287342666618, 0.6159092535671796, 0.6183836819162153, 0.6208519948432436, 0.6233141679382166, 0.6257701768518059, 0.6282199972956423, 0.6306636050425571, 0.6331009759268212, 0.635532085844384, 0.6379569107531118, 0.6403754266730259, 0.6427876096865393, 0.6451934359386934, 0.647592881637394, 0.6499859230536466, 0.652372536521791, 0.6547526984397349, 0.6571263852691885, 0.6594935735358959, 0.661854239829868, 0.664208360805614, 0.666555913182372, 0.6688968737443394, 0.6712312193409027, 0.6735589268868658, 0.675879973362679, 0.6781943358146663, 0.6805019913552524, 0.682802917163189, 0.6850970904837809, 0.6873844886291103, 0.6896650889782618, 0.6919388689775461, 0.6942058061407225, 0.6964658780492217, 0.6987190623523674, 0.7009653367675974, 0.7032046790806838, 0.7054370671459531, 0.7076624788865044, 0.7098808922944285, 0.7120922854310253, 0.7142966364270209, 0.7164939234827832, 0.7186841248685383, 0.720867218924585, 0.7230431840615092, 0.7252119987603972, 0.7273736415730486, 0.7295280911221884, 0.7316753261016783, 0.7338153252767277, 0.7359480674841034, 0.7380735316323389, 0.7401916967019435, 0.7423025417456093, 0.744406045888419, 0.7465021883280519, 0.7485909483349905, 0.7506723052527243, 0.7527462384979547, 0.7548127275607988, 0.7568717520049917, 0.7589232914680888, 0.7609673256616675, 0.7630038343715273, 0.7650327974578899, 0.7670541948555987, 0.7690680065743167, 0.7710742126987247, 0.7730727933887177, 0.7750637288796015, 0.7770469994822884, 0.7790225855834911, 0.7809904676459174, 0.7829506262084631, 0.7849030418864045, 0.7868476953715899, 0.7887845674326314, 0.7907136389150937, 0.7926348907416847, 0.7945483039124437, 0.796453859504929, 0.7983515386744059, 0.800241322654032, 0.8021231927550437, 0.8039971303669404, 0.8058631169576691, 0.8077211340738067, 0.809571163340744, 0.8114131864628658, 0.8132471852237328, 0.8150731414862622, 0.8168910371929053, 0.8187008543658281, 0.8205025751070875, 0.8222961815988094, 0.8240816561033644, 0.825858980963543, 0.8276281386027311, 0.8293891115250827, 0.8311418823156935, 0.8328864336407734, 0.8346227482478172, 0.8363508089657761, 0.8380705987052264, 0.8397821004585397, 0.8414852973000502, 0.8431801723862223, 0.8448667089558177, 0.8465448903300605, 0.8482146999128022, 0.8498761211906863, 0.8515291377333112, 0.8531737331933927, 0.8548098913069259, 0.8564375958933459, 0.8580568308556875, 0.8596675801807452, 0.8612698279392308, 0.8628635582859311, 0.8644487554598649, 0.8660254037844386, 0.8675934876676012, 0.8691529916019988, 0.8707039001651274, 0.8722461980194862, 0.8737798699127284, 0.8753049006778129, 0.8768212752331536, 0.8783289785827686, 0.8798279958164293, 0.881318312109807, 0.8827999127246196, 0.8842727830087777, 0.8857369083965293, 0.8871922744086039, 0.8886388666523558, 0.8900766708219059, 0.8915056726982838, 0.8929258581495684, 0.8943372131310272, 0.8957397236852553, 0.897133375942314, 0.8985181561198672, 0.8998940505233182, 0.9012610455459447, 0.902619127669034, 0.903968283462016, 0.9053084995825966, 0.9066397627768893, 0.9079620598795461, 0.9092753778138883, 0.9105797035920355, 0.9118750243150338, 0.9131613271729833, 0.9144385994451657, 0.9157068285001692, 0.9169660017960134, 0.918216106880274, 0.9194571313902054, 0.920689063052863, 0.9219118896852251, 0.9231255991943123, 0.9243301795773083, 0.9255256189216778, 0.9267119054052849, 0.9278890272965093, 0.9290569729543627, 0.9302157308286042, 0.9313652894598542, 0.9325056374797074, 0.9336367636108461, 0.934758656667151, 0.935871305553812, 0.936974699267438, 0.9380688268961658, 0.9391536776197676, 0.9402292407097589, 0.9412955055295031, 0.9423524615343186, 0.9434000982715812, 0.9444384053808289, 0.9454673725938634, 0.9464869897348525, 0.9474972467204298, 0.9484981335597952, 0.9494896403548133, 0.9504717573001115, 0.9514444746831766, 0.9524077828844514, 0.9533616723774293, 0.9543061337287487, 0.9552411575982869, 0.956166734739251, 0.9570828559982708, 0.9579895123154889, 0.9588866947246497, 0.959774394353189, 0.960652602422321, 0.9615213102471254, 0.9623805092366334, 0.9632301908939126, 0.9640703468161506, 0.964900968694739, 0.9657220483153546, 0.9665335775580414, 0.9673355483972902, 0.9681279529021187, 0.9689107832361495, 0.9696840316576876, 0.970447690519797, 0.9712017522703762, 0.9719462094522335, 0.97268105470316, 0.9734062807560027, 0.9741218804387362, 0.9748278466745341, 0.9755241724818386, 0.9762108509744296, 0.9768878753614925, 0.9775552389476861, 0.9782129351332084, 0.9788609574138615, 0.9794992993811165, 0.9801279547221765, 0.9807469172200396, 0.9813561807535595, 0.9819557392975066, 0.9825455869226277, 0.9831257177957042, 0.9836961261796101, 0.9842568064333687, 0.984807753012208, 0.9853489604676164, 0.9858804234473958, 0.9864021366957145, 0.98691409505316, 0.9874162934567889, 0.9879087269401781, 0.9883913906334728, 0.9888642797634357, 0.9893273896534935, 0.9897807157237835, 0.9902242534911985, 0.9906579985694317, 0.9910819466690196, 0.9914960935973848, 0.9919004352588768, 0.9922949676548136, 0.9926796868835203, 0.9930545891403677, 0.9934196707178107, 0.9937749280054242, 0.9941203574899392, 0.9944559557552776, 0.9947817194825852, 0.995097645450266, 0.9954037305340125, 0.9956999717068377, 0.9959863660391043, 0.9962629106985543, 0.9965296029503367, 0.9967864401570342, 0.9970334197786902, 0.9972705393728327, 0.9974977965944997, 0.9977151891962615, 0.9979227150282433, 0.9981203720381463, 0.9983081582712682, 0.9984860718705224, 0.9986541110764564, 0.9988122742272691, 0.9989605597588274, 0.9990989662046814, 0.9992274921960794, 0.9993461364619809, 0.9994548978290693, 0.9995537752217638, 0.9996427676622299, 0.9997218742703887, 0.9997910942639262, 0.9998504269583004, 0.9998998717667489, 0.9999394282002937, 0.9999690958677468, 0.999988874475714, 0.9999987638285974, 0.9999987638285974, 0.999988874475714, 0.9999690958677468, 0.9999394282002937, 0.9998998717667489, 0.9998504269583004, 0.9997910942639262, 0.9997218742703887, 0.9996427676622299, 0.9995537752217639, 0.9994548978290693, 0.9993461364619809, 0.9992274921960794, 0.9990989662046815, 0.9989605597588275, 0.9988122742272691, 0.9986541110764565, 0.9984860718705225, 0.9983081582712682, 0.9981203720381463, 0.9979227150282433, 0.9977151891962615, 0.9974977965944997, 0.9972705393728327, 0.9970334197786902, 0.9967864401570343, 0.9965296029503368, 0.9962629106985544, 0.9959863660391044, 0.9956999717068378, 0.9954037305340125, 0.995097645450266, 0.9947817194825853, 0.9944559557552776, 0.9941203574899393, 0.9937749280054242, 0.9934196707178107, 0.9930545891403677, 0.9926796868835203, 0.9922949676548137, 0.991900435258877, 0.9914960935973848, 0.9910819466690197, 0.9906579985694317, 0.9902242534911986, 0.9897807157237835, 0.9893273896534935, 0.9888642797634357, 0.9883913906334728, 0.9879087269401781, 0.9874162934567889, 0.98691409505316, 0.9864021366957146, 0.9858804234473959, 0.9853489604676166, 0.9848077530122081, 0.9842568064333687, 0.9836961261796101, 0.9831257177957042, 0.9825455869226277, 0.9819557392975067, 0.9813561807535596, 0.9807469172200397, 0.9801279547221766, 0.9794992993811165, 0.9788609574138615, 0.9782129351332085, 0.9775552389476863, 0.9768878753614926, 0.9762108509744296, 0.9755241724818388, 0.9748278466745343, 0.9741218804387363, 0.9734062807560028, 0.9726810547031601, 0.9719462094522336, 0.9712017522703763, 0.970447690519797, 0.9696840316576877, 0.9689107832361497, 0.9681279529021188, 0.9673355483972903, 0.9665335775580415, 0.9657220483153547, 0.9649009686947391, 0.9640703468161507, 0.9632301908939126, 0.9623805092366335, 0.9615213102471255, 0.9606526024223211, 0.9597743943531891, 0.9588866947246498, 0.9579895123154889, 0.9570828559982709, 0.9561667347392511, 0.955241157598287, 0.9543061337287488, 0.9533616723774293, 0.9524077828844515, 0.9514444746831767, 0.9504717573001116, 0.9494896403548134, 0.9484981335597953, 0.9474972467204299, 0.9464869897348526, 0.9454673725938635, 0.944438405380829, 0.9434000982715813, 0.9423524615343186, 0.9412955055295033, 0.940229240709759, 0.9391536776197678, 0.9380688268961659, 0.9369746992674381, 0.9358713055538121, 0.9347586566671511, 0.9336367636108462, 0.9325056374797075, 0.9313652894598543, 0.9302157308286044, 0.9290569729543628, 0.9278890272965093, 0.926711905405285, 0.9255256189216781, 0.9243301795773085, 0.9231255991943124, 0.9219118896852252, 0.9206890630528632, 0.9194571313902055, 0.9182161068802741, 0.9169660017960135, 0.9157068285001693, 0.9144385994451658, 0.9131613271729834, 0.9118750243150338, 0.9105797035920357, 0.9092753778138886, 0.9079620598795464, 0.9066397627768894, 0.9053084995825968, 0.9039682834620162, 0.902619127669034, 0.9012610455459448, 0.8998940505233182, 0.8985181561198674, 0.8971333759423141, 0.8957397236852556, 0.8943372131310273, 0.8929258581495686, 0.891505672698284, 0.8900766708219061, 0.8886388666523559, 0.8871922744086043, 0.8857369083965295, 0.8842727830087778, 0.8827999127246198, 0.881318312109807, 0.8798279958164296, 0.8783289785827687, 0.8768212752331537, 0.8753049006778131, 0.8737798699127287, 0.8722461980194863, 0.8707039001651278, 0.869152991601999, 0.8675934876676015, 0.8660254037844387, 0.864448755459865, 0.8628635582859312, 0.8612698279392308, 0.8596675801807454, 0.8580568308556876, 0.856437595893346, 0.8548098913069261, 0.853173733193393, 0.8515291377333114, 0.8498761211906867, 0.8482146999128024, 0.8465448903300608, 0.844866708955818, 0.8431801723862224, 0.8414852973000503, 0.8397821004585397, 0.8380705987052266, 0.8363508089657762, 0.8346227482478176, 0.8328864336407735, 0.8311418823156937, 0.8293891115250829, 0.8276281386027314, 0.8258589809635433, 0.8240816561033646, 0.8222961815988096, 0.8205025751070876, 0.8187008543658283, 0.8168910371929055, 0.8150731414862624, 0.8132471852237331, 0.811413186462866, 0.8095711633407441, 0.8077211340738071, 0.8058631169576692, 0.8039971303669408, 0.802123192755044, 0.800241322654032, 0.798351538674406, 0.7964538595049291, 0.7945483039124439, 0.7926348907416848, 0.7907136389150939, 0.7887845674326315, 0.7868476953715902, 0.7849030418864046, 0.7829506262084633, 0.7809904676459176, 0.7790225855834915, 0.7770469994822886, 0.7750637288796016, 0.7730727933887178, 0.7710742126987248, 0.769068006574317, 0.7670541948555988, 0.7650327974578902, 0.7630038343715274, 0.7609673256616678, 0.758923291468089, 0.756871752004992, 0.754812727560799, 0.7527462384979551, 0.7506723052527244, 0.7485909483349906, 0.7465021883280523, 0.744406045888419, 0.7423025417456095, 0.7401916967019436, 0.7380735316323392, 0.7359480674841035, 0.733815325276728, 0.7316753261016785, 0.7295280911221887, 0.7273736415730488, 0.7252119987603977, 0.7230431840615095, 0.720867218924585, 0.7186841248685385, 0.7164939234827833, 0.7142966364270211, 0.7120922854310255, 0.7098808922944289, 0.7076624788865045, 0.7054370671459533, 0.7032046790806841, 0.7009653367675978, 0.6987190623523676, 0.6964658780492221, 0.6942058061407227, 0.6919388689775462, 0.6896650889782621, 0.6873844886291103, 0.6850970904837811, 0.6828029171631891, 0.6805019913552527, 0.6781943358146665, 0.6758799733626794, 0.673558926886866, 0.6712312193409031, 0.6688968737443397, 0.6665559131823724, 0.6642083608056142, 0.661854239829868, 0.6594935735358961, 0.6571263852691887, 0.6547526984397353, 0.6523725365217911, 0.649985923053647, 0.6475928816373941, 0.6451934359386937, 0.6427876096865395, 0.6403754266730264, 0.6379569107531121, 0.6355320858443845, 0.6331009759268215, 0.6306636050425573, 0.6282199972956426, 0.625770176851806, 0.6233141679382169, 0.6208519948432437, 0.6183836819162156, 0.6159092535671797, 0.6134287342666621, 0.6109421485454231, 0.6084495209942175, 0.6059508762635484, 0.6034462390634265, 0.6009356341631231, 0.5984190863909269, 0.5958966206338979, 0.5933682618376205, 0.5908340350059583, 0.5882939652008052, 0.5857480775418397, 0.5831963972062735, 0.5806389494286058, 0.5780757595003709, 0.5755068527698903, 0.5729322546420201, 0.5703519905779019, 0.567766086094708, 0.5651745667653929, 0.5625774582184373, 0.5599747861375954, 0.5573665762616424, 0.5547528543841173, 0.5521336463530706, 0.5495089780708062, 0.5468788754936278, 0.5442433646315792, 0.5416024715481904, 0.5389562223602166, 0.5363046432373829, 0.5336477604021226, 0.5309856001293204, 0.5283181887460517, 0.5256455526313208, 0.5229677182158028, 0.5202847119815791, 0.5175965604618787, 0.5149032902408128, 0.5122049279531147, 0.5095015002838734, 0.5067930339682729, 0.5040795557913248, 0.5013610925876063, 0.4986376712409918, 0.49590931868438953, 0.49317606189947466, 0.4904379279164206, 0.4876949438136349, 0.4849471367174879, 0.4821945338020481, 0.47943716228880995, 0.47667504944642786, 0.47390822259044335, 0.4711367090830183, 0.4683605363326608, 0.4655797317939572, 0.4627943229672993, 0.4600043373986111, 0.4572098026790794, 0.45441074644487756, 0.4516071963768954, 0.44879918020046233, 0.44598672568507636, 0.4431698606441263, 0.44034861293461974, 0.4375230104569045, 0.4346930811543961, 0.4318588530132976, 0.42902035406232647, 0.42617761237243557, 0.4233306560565345, 0.4204795132692146, 0.41762421220646706, 0.4147647811054074, 0.4119012482439928, 0.40903364194074626, 0.4061619905544726, 0.40328632248398166, 0.40040666616780407, 0.3975230500839134, 0.3946355027494411, 0.3917440527203974, 0.3888487285913878, 0.38594955899532885, 0.38304657260316805, 0.38013979812359683, 0.37722926430277026, 0.37431499992401907, 0.3713970338075685, 0.3684753948102501, 0.36555011182521946, 0.3626212137816672, 0.3596887296445362, 0.356752688414232, 0.3538131191263388, 0.35087005085133083, 0.347923512694284, 0.34497353379459084, 0.3420201433256689, 0.3390633704946756, 0.33610324454221624, 0.33313979474205796, 0.330173050400837, 0.3272030408577721, 0.3242297954843712, 0.3212533436841442, 0.3182737148923088, 0.31529093857550256, 0.3123050442314898, 0.309316061388869, 0.3063240196067838, 0.3033289484746268, 0.30033087761175087, 0.2973298366671725, 0.29432585531928224, 0.29131896327554746, 0.2883091902722223, 0.28529656607405, 0.2822811204739722, 0.2792628832928304, 0.2762418843790745, 0.2732181536084662, 0.27019172088378224, 0.2671626161345217, 0.26413086931660645, 0.26109651041208864, 0.25805956942885044, 0.2550200764003109, 0.2519780613851254, 0.2489335544668921, 0.24588658575385056, 0.24283718537858767, 0.2397853834977363, 0.23673121029167987, 0.23367469596425278, 0.23061587074244033, 0.22755476487608275, 0.22449140863757278, 0.22142583232155955, 0.21835806624464565, 0.21528814074509078, 0.21221608618250815, 0.20914193293756786, 0.20606571141169286, 0.20298745202676186, 0.1999071852248049, 0.19682494146770554, 0.193740751236898, 0.1906546450330647, 0.18756665337583753, 0.18447680680349254, 0.1813851358726515, 0.17829167115797617, 0.17519644325186945, 0.17209948276416928, 0.16900082032184957, 0.16590048656871365, 0.16279851216509486, 0.15969492778754976, 0.15658976412855782, 0.15348305189621664, 0.15037482181393688, 0.14726510462014156, 0.14415393106795849, 0.14104133192491974, 0.1379273379726538, 0.1348119800065847, 0.13169528883562387, 0.12857729528186918, 0.12545803018029636, 0.12233752437845731, 0.11921580873617368, 0.11609291412523036, 0.1129688714290732, 0.10984371154250018, 0.10671746537135932, 0.10359016383223951, 0.10046183785216839, 0.09733251836830287, 0.09420223632762673, 0.09107102268664109, 0.08793890841106176, 0.0848059244755095, 0.08167210186320675, 0.07853747156566997, 0.07540206458240174, 0.07226591192058739, 0.06912904459478472, 0.06599149362662092, 0.06285329004448216, 0.05971446488321034, 0.0565750491837926, 0.05343507399305791, 0.05029457036336647, 0.04715356935230619, 0.04401210202238198, 0.04087019944071169, 0.03772789267871753, 0.034585212811817465, 0.031442190919120996, 0.028298858083118276, 0.025155245389376274, 0.022011383926227784, 0.01886730478446755, 0.015723039057041255, 0.012578617838741556, 0.009434072225897046, 0.006289433316068282, 0.0031447322077366876, 1.2246467991473532e-16], \"type\": \"scatter\", \"uid\": \"1f5340a4-d691-11e8-a119-d017c29ae013\"}], {\"title\": \"Simple Example\", \"xaxis\": {\"title\": \"nanoseconds\"}, \"yaxis\": {\"title\": \"volts\"}}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ],
      "text/vnd.plotly.v1+html": [
       "<div id=\"78d6720a-1af1-4c95-b18b-7427c6e6c0dc\" style=\"height: 525px; width: 100%;\" class=\"plotly-graph-div\"></div><script type=\"text/javascript\">require([\"plotly\"], function(Plotly) { window.PLOTLYENV=window.PLOTLYENV || {};window.PLOTLYENV.BASE_URL=\"https://plot.ly\";Plotly.newPlot(\"78d6720a-1af1-4c95-b18b-7427c6e6c0dc\", [{\"line\": {\"shape\": \"spline\"}, \"mode\": \"lines\", \"name\": \"sin(x)\", \"x\": [0.0, 0.0031447373909807737, 0.006289474781961547, 0.009434212172942321, 0.012578949563923095, 0.01572368695490387, 0.018868424345884642, 0.022013161736865416, 0.02515789912784619, 0.028302636518826963, 0.03144737390980774, 0.034592111300788514, 0.037736848691769284, 0.040881586082750054, 0.04402632347373083, 0.04717106086471161, 0.05031579825569238, 0.05346053564667315, 0.056605273037653926, 0.0597500104286347, 0.06289474781961547, 0.06603948521059624, 0.06918422260157703, 0.0723289599925578, 0.07547369738353857, 0.07861843477451934, 0.08176317216550011, 0.08490790955648089, 0.08805264694746166, 0.09119738433844243, 0.09434212172942322, 0.09748685912040399, 0.10063159651138476, 0.10377633390236553, 0.1069210712933463, 0.11006580868432708, 0.11321054607530785, 0.11635528346628862, 0.1195000208572694, 0.12264475824825018, 0.12578949563923095, 0.12893423303021173, 0.1320789704211925, 0.13522370781217327, 0.13836844520315406, 0.1415131825941348, 0.1446579199851156, 0.14780265737609635, 0.15094739476707714, 0.15409213215805792, 0.15723686954903868, 0.16038160694001946, 0.16352634433100022, 0.166671081721981, 0.16981581911296179, 0.17296055650394254, 0.17610529389492333, 0.1792500312859041, 0.18239476867688487, 0.18553950606786565, 0.18868424345884643, 0.1918289808498272, 0.19497371824080797, 0.19811845563178873, 0.20126319302276952, 0.2044079304137503, 0.20755266780473106, 0.21069740519571184, 0.2138421425866926, 0.21698687997767338, 0.22013161736865416, 0.22327635475963492, 0.2264210921506157, 0.2295658295415965, 0.23271056693257725, 0.23585530432355803, 0.2390000417145388, 0.24214477910551957, 0.24528951649650035, 0.2484342538874811, 0.2515789912784619, 0.25472372866944265, 0.25786846606042346, 0.2610132034514042, 0.264157940842385, 0.2673026782333658, 0.27044741562434654, 0.2735921530153273, 0.2767368904063081, 0.27988162779728887, 0.2830263651882696, 0.2861711025792504, 0.2893158399702312, 0.29246057736121195, 0.2956053147521927, 0.2987500521431735, 0.3018947895341543, 0.30503952692513503, 0.30818426431611584, 0.3113290017070966, 0.31447373909807735, 0.31761847648905817, 0.3207632138800389, 0.3239079512710197, 0.32705268866200043, 0.33019742605298125, 0.333342163443962, 0.33648690083494276, 0.33963163822592357, 0.3427763756169043, 0.3459211130078851, 0.3490658503988659, 0.35221058778984665, 0.3553553251808274, 0.3585000625718082, 0.361644799962789, 0.36478953735376973, 0.36793427474475054, 0.3710790121357313, 0.37422374952671206, 0.37736848691769287, 0.3805132243086736, 0.3836579616996544, 0.38680269909063514, 0.38994743648161595, 0.3930921738725967, 0.39623691126357746, 0.3993816486545583, 0.40252638604553903, 0.4056711234365198, 0.4088158608275006, 0.41196059821848136, 0.4151053356094621, 0.4182500730004429, 0.4213948103914237, 0.42453954778240444, 0.4276842851733852, 0.430829022564366, 0.43397375995534676, 0.4371184973463275, 0.44026323473730833, 0.4434079721282891, 0.44655270951926984, 0.44969744691025065, 0.4528421843012314, 0.45598692169221217, 0.459131659083193, 0.46227639647417373, 0.4654211338651545, 0.4685658712561353, 0.47171060864711606, 0.4748553460380968, 0.4780000834290776, 0.4811448208200584, 0.48428955821103914, 0.4874342956020199, 0.4905790329930007, 0.49372377038398146, 0.4968685077749622, 0.500013245165943, 0.5031579825569238, 0.5063027199479045, 0.5094474573388853, 0.5125921947298661, 0.5157369321208469, 0.5188816695118277, 0.5220264069028084, 0.5251711442937892, 0.52831588168477, 0.5314606190757507, 0.5346053564667316, 0.5377500938577123, 0.5408948312486931, 0.5440395686396738, 0.5471843060306546, 0.5503290434216354, 0.5534737808126162, 0.556618518203597, 0.5597632555945777, 0.5629079929855585, 0.5660527303765392, 0.56919746776752, 0.5723422051585008, 0.5754869425494816, 0.5786316799404624, 0.5817764173314431, 0.5849211547224239, 0.5880658921134047, 0.5912106295043854, 0.5943553668953663, 0.597500104286347, 0.6006448416773278, 0.6037895790683085, 0.6069343164592893, 0.6100790538502701, 0.6132237912412508, 0.6163685286322317, 0.6195132660232124, 0.6226580034141932, 0.625802740805174, 0.6289474781961547, 0.6320922155871355, 0.6352369529781163, 0.6383816903690971, 0.6415264277600778, 0.6446711651510586, 0.6478159025420394, 0.6509606399330201, 0.6541053773240009, 0.6572501147149817, 0.6603948521059625, 0.6635395894969432, 0.666684326887924, 0.6698290642789048, 0.6729738016698855, 0.6761185390608664, 0.6792632764518471, 0.6824080138428279, 0.6855527512338087, 0.6886974886247894, 0.6918422260157702, 0.694986963406751, 0.6981317007977318, 0.7012764381887125, 0.7044211755796933, 0.7075659129706741, 0.7107106503616548, 0.7138553877526356, 0.7170001251436164, 0.7201448625345972, 0.723289599925578, 0.7264343373165587, 0.7295790747075395, 0.7327238120985202, 0.7358685494895011, 0.7390132868804818, 0.7421580242714626, 0.7453027616624434, 0.7484474990534241, 0.7515922364444049, 0.7547369738353857, 0.7578817112263665, 0.7610264486173473, 0.764171186008328, 0.7673159233993088, 0.7704606607902895, 0.7736053981812703, 0.7767501355722511, 0.7798948729632319, 0.7830396103542127, 0.7861843477451934, 0.7893290851361742, 0.7924738225271549, 0.7956185599181358, 0.7987632973091165, 0.8019080347000973, 0.8050527720910781, 0.8081975094820588, 0.8113422468730396, 0.8144869842640203, 0.8176317216550012, 0.820776459045982, 0.8239211964369627, 0.8270659338279435, 0.8302106712189242, 0.833355408609905, 0.8365001460008858, 0.8396448833918666, 0.8427896207828474, 0.8459343581738281, 0.8490790955648089, 0.8522238329557896, 0.8553685703467704, 0.8585133077377513, 0.861658045128732, 0.8648027825197128, 0.8679475199106935, 0.8710922573016743, 0.874236994692655, 0.8773817320836359, 0.8805264694746167, 0.8836712068655974, 0.8868159442565782, 0.8899606816475589, 0.8931054190385397, 0.8962501564295206, 0.8993948938205013, 0.9025396312114821, 0.9056843686024628, 0.9088291059934436, 0.9119738433844243, 0.9151185807754051, 0.918263318166386, 0.9214080555573667, 0.9245527929483475, 0.9276975303393282, 0.930842267730309, 0.9339870051212897, 0.9371317425122706, 0.9402764799032514, 0.9434212172942321, 0.9465659546852129, 0.9497106920761936, 0.9528554294671744, 0.9560001668581553, 0.959144904249136, 0.9622896416401168, 0.9654343790310975, 0.9685791164220783, 0.971723853813059, 0.9748685912040398, 0.9780133285950207, 0.9811580659860014, 0.9843028033769822, 0.9874475407679629, 0.9905922781589437, 0.9937370155499244, 0.9968817529409053, 1.000026490331886, 1.0031712277228668, 1.0063159651138476, 1.0094607025048283, 1.012605439895809, 1.0157501772867898, 1.0188949146777706, 1.0220396520687514, 1.0251843894597321, 1.028329126850713, 1.0314738642416938, 1.0346186016326746, 1.0377633390236554, 1.0409080764146361, 1.0440528138056169, 1.0471975511965976, 1.0503422885875784, 1.0534870259785591, 1.05663176336954, 1.0597765007605207, 1.0629212381515014, 1.0660659755424822, 1.0692107129334631, 1.072355450324444, 1.0755001877154247, 1.0786449251064054, 1.0817896624973862, 1.084934399888367, 1.0880791372793477, 1.0912238746703284, 1.0943686120613092, 1.09751334945229, 1.1006580868432707, 1.1038028242342515, 1.1069475616252324, 1.1100922990162132, 1.113237036407194, 1.1163817737981747, 1.1195265111891555, 1.1226712485801362, 1.125815985971117, 1.1289607233620977, 1.1321054607530785, 1.1352501981440593, 1.13839493553504, 1.1415396729260208, 1.1446844103170015, 1.1478291477079825, 1.1509738850989633, 1.154118622489944, 1.1572633598809248, 1.1604080972719055, 1.1635528346628863, 1.166697572053867, 1.1698423094448478, 1.1729870468358286, 1.1761317842268093, 1.17927652161779, 1.1824212590087708, 1.1855659963997516, 1.1887107337907326, 1.1918554711817133, 1.195000208572694, 1.1981449459636748, 1.2012896833546556, 1.2044344207456363, 1.207579158136617, 1.2107238955275978, 1.2138686329185786, 1.2170133703095594, 1.2201581077005401, 1.2233028450915209, 1.2264475824825016, 1.2295923198734826, 1.2327370572644634, 1.2358817946554441, 1.2390265320464249, 1.2421712694374056, 1.2453160068283864, 1.2484607442193671, 1.251605481610348, 1.2547502190013287, 1.2578949563923094, 1.2610396937832902, 1.264184431174271, 1.2673291685652517, 1.2704739059562327, 1.2736186433472134, 1.2767633807381942, 1.279908118129175, 1.2830528555201557, 1.2861975929111364, 1.2893423303021172, 1.292487067693098, 1.2956318050840787, 1.2987765424750595, 1.3019212798660402, 1.305066017257021, 1.3082107546480017, 1.3113554920389827, 1.3145002294299635, 1.3176449668209442, 1.320789704211925, 1.3239344416029057, 1.3270791789938865, 1.3302239163848673, 1.333368653775848, 1.3365133911668288, 1.3396581285578095, 1.3428028659487903, 1.345947603339771, 1.349092340730752, 1.3522370781217328, 1.3553818155127135, 1.3585265529036943, 1.361671290294675, 1.3648160276856558, 1.3679607650766366, 1.3711055024676173, 1.374250239858598, 1.3773949772495788, 1.3805397146405596, 1.3836844520315403, 1.386829189422521, 1.389973926813502, 1.3931186642044828, 1.3962634015954636, 1.3994081389864443, 1.402552876377425, 1.4056976137684059, 1.4088423511593866, 1.4119870885503674, 1.4151318259413481, 1.4182765633323289, 1.4214213007233096, 1.4245660381142904, 1.4277107755052711, 1.4308555128962521, 1.4340002502872329, 1.4371449876782136, 1.4402897250691944, 1.4434344624601751, 1.446579199851156, 1.4497239372421367, 1.4528686746331174, 1.4560134120240982, 1.459158149415079, 1.4623028868060597, 1.4654476241970404, 1.4685923615880212, 1.4717370989790022, 1.474881836369983, 1.4780265737609637, 1.4811713111519444, 1.4843160485429252, 1.487460785933906, 1.4906055233248867, 1.4937502607158675, 1.4968949981068482, 1.500039735497829, 1.5031844728888097, 1.5063292102797905, 1.5094739476707715, 1.5126186850617522, 1.515763422452733, 1.5189081598437137, 1.5220528972346945, 1.5251976346256753, 1.528342372016656, 1.5314871094076368, 1.5346318467986175, 1.5377765841895983, 1.540921321580579, 1.5440660589715598, 1.5472107963625406, 1.5503555337535215, 1.5535002711445023, 1.556645008535483, 1.5597897459264638, 1.5629344833174446, 1.5660792207084253, 1.569223958099406, 1.5723686954903868, 1.5755134328813676, 1.5786581702723483, 1.581802907663329, 1.5849476450543099, 1.5880923824452906, 1.5912371198362716, 1.5943818572272523, 1.597526594618233, 1.6006713320092139, 1.6038160694001946, 1.6069608067911754, 1.6101055441821561, 1.6132502815731369, 1.6163950189641176, 1.6195397563550984, 1.6226844937460791, 1.62582923113706, 1.6289739685280407, 1.6321187059190216, 1.6352634433100024, 1.6384081807009832, 1.641552918091964, 1.6446976554829447, 1.6478423928739254, 1.6509871302649062, 1.654131867655887, 1.6572766050468677, 1.6604213424378484, 1.6635660798288292, 1.66671081721981, 1.6698555546107907, 1.6730002920017717, 1.6761450293927525, 1.6792897667837332, 1.682434504174714, 1.6855792415656947, 1.6887239789566755, 1.6918687163476562, 1.695013453738637, 1.6981581911296177, 1.7013029285205985, 1.7044476659115793, 1.70759240330256, 1.7107371406935408, 1.7138818780845217, 1.7170266154755025, 1.7201713528664833, 1.723316090257464, 1.7264608276484448, 1.7296055650394255, 1.7327503024304063, 1.735895039821387, 1.7390397772123678, 1.7421845146033486, 1.7453292519943293, 1.74847398938531, 1.751618726776291, 1.7547634641672718, 1.7579082015582526, 1.7610529389492333, 1.764197676340214, 1.7673424137311948, 1.7704871511221756, 1.7736318885131563, 1.776776625904137, 1.7799213632951179, 1.7830661006860986, 1.7862108380770794, 1.7893555754680601, 1.792500312859041, 1.7956450502500219, 1.7987897876410026, 1.8019345250319834, 1.8050792624229641, 1.8082239998139449, 1.8113687372049256, 1.8145134745959064, 1.8176582119868872, 1.820802949377868, 1.8239476867688487, 1.8270924241598294, 1.8302371615508102, 1.8333818989417912, 1.836526636332772, 1.8396713737237527, 1.8428161111147334, 1.8459608485057142, 1.849105585896695, 1.8522503232876757, 1.8553950606786564, 1.8585397980696372, 1.861684535460618, 1.8648292728515987, 1.8679740102425795, 1.8711187476335602, 1.8742634850245412, 1.877408222415522, 1.8805529598065027, 1.8836976971974835, 1.8868424345884642, 1.889987171979445, 1.8931319093704257, 1.8962766467614065, 1.8994213841523873, 1.902566121543368, 1.9057108589343488, 1.9088555963253295, 1.9120003337163105, 1.9151450711072913, 1.918289808498272, 1.9214345458892528, 1.9245792832802335, 1.9277240206712143, 1.930868758062195, 1.9340134954531758, 1.9371582328441566, 1.9403029702351373, 1.943447707626118, 1.9465924450170988, 1.9497371824080796, 1.9528819197990606, 1.9560266571900413, 1.959171394581022, 1.9623161319720028, 1.9654608693629836, 1.9686056067539643, 1.971750344144945, 1.9748950815359259, 1.9780398189269066, 1.9811845563178874, 1.9843292937088681, 1.9874740310998489, 1.9906187684908296, 1.9937635058818106, 1.9969082432727914, 2.000052980663772, 2.0031977180547527, 2.0063424554457336, 2.009487192836714, 2.012631930227695, 2.015776667618676, 2.0189214050096567, 2.0220661424006376, 2.025210879791618, 2.028355617182599, 2.0315003545735797, 2.0346450919645607, 2.037789829355541, 2.040934566746522, 2.0440793041375027, 2.0472240415284837, 2.0503687789194642, 2.053513516310445, 2.056658253701426, 2.0598029910924067, 2.0629477284833877, 2.0660924658743682, 2.069237203265349, 2.0723819406563297, 2.0755266780473107, 2.0786714154382913, 2.0818161528292722, 2.0849608902202528, 2.0881056276112337, 2.0912503650022143, 2.0943951023931953, 2.0975398397841762, 2.1006845771751568, 2.1038293145661378, 2.1069740519571183, 2.1101187893480993, 2.11326352673908, 2.116408264130061, 2.1195530015210413, 2.1226977389120223, 2.125842476303003, 2.128987213693984, 2.1321319510849643, 2.1352766884759453, 2.1384214258669263, 2.141566163257907, 2.144710900648888, 2.1478556380398683, 2.1510003754308493, 2.15414511282183, 2.157289850212811, 2.1604345876037914, 2.1635793249947723, 2.166724062385753, 2.169868799776734, 2.1730135371677144, 2.1761582745586954, 2.1793030119496763, 2.182447749340657, 2.185592486731638, 2.1887372241226184, 2.1918819615135994, 2.19502669890458, 2.198171436295561, 2.2013161736865414, 2.2044609110775224, 2.207605648468503, 2.210750385859484, 2.213895123250465, 2.2170398606414454, 2.2201845980324264, 2.223329335423407, 2.226474072814388, 2.2296188102053685, 2.2327635475963494, 2.23590828498733, 2.239053022378311, 2.2421977597692915, 2.2453424971602725, 2.248487234551253, 2.251631971942234, 2.254776709333215, 2.2579214467241955, 2.2610661841151765, 2.264210921506157, 2.267355658897138, 2.2705003962881185, 2.2736451336790995, 2.27678987107008, 2.279934608461061, 2.2830793458520415, 2.2862240832430225, 2.289368820634003, 2.292513558024984, 2.295658295415965, 2.2988030328069455, 2.3019477701979265, 2.305092507588907, 2.308237244979888, 2.3113819823708686, 2.3145267197618495, 2.31767145715283, 2.320816194543811, 2.3239609319347916, 2.3271056693257726, 2.330250406716753, 2.333395144107734, 2.336539881498715, 2.3396846188896956, 2.3428293562806766, 2.345974093671657, 2.349118831062638, 2.3522635684536186, 2.3554083058445996, 2.35855304323558, 2.361697780626561, 2.3648425180175416, 2.3679872554085226, 2.371131992799503, 2.374276730190484, 2.377421467581465, 2.3805662049724456, 2.3837109423634266, 2.386855679754407, 2.390000417145388, 2.3931451545363687, 2.3962898919273496, 2.39943462931833, 2.402579366709311, 2.4057241041002917, 2.4088688414912727, 2.412013578882253, 2.415158316273234, 2.418303053664215, 2.4214477910551957, 2.4245925284461767, 2.427737265837157, 2.430882003228138, 2.4340267406191187, 2.4371714780100997, 2.4403162154010802, 2.443460952792061, 2.4466056901830417, 2.4497504275740227, 2.4528951649650033, 2.4560399023559842, 2.459184639746965, 2.4623293771379458, 2.4654741145289267, 2.4686188519199073, 2.4717635893108882, 2.4749083267018688, 2.4780530640928498, 2.4811978014838303, 2.4843425388748113, 2.487487276265792, 2.490632013656773, 2.4937767510477533, 2.4969214884387343, 2.5000662258297153, 2.503210963220696, 2.506355700611677, 2.5095004380026573, 2.5126451753936383, 2.515789912784619, 2.5189346501756, 2.5220793875665803, 2.5252241249575613, 2.528368862348542, 2.531513599739523, 2.5346583371305034, 2.5378030745214843, 2.5409478119124653, 2.544092549303446, 2.547237286694427, 2.5503820240854074, 2.5535267614763884, 2.556671498867369, 2.55981623625835, 2.5629609736493304, 2.5661057110403114, 2.569250448431292, 2.572395185822273, 2.5755399232132534, 2.5786846606042344, 2.5818293979952154, 2.584974135386196, 2.588118872777177, 2.5912636101681574, 2.5944083475591384, 2.597553084950119, 2.6006978223411, 2.6038425597320805, 2.6069872971230614, 2.610132034514042, 2.613276771905023, 2.6164215092960035, 2.6195662466869845, 2.6227109840779654, 2.625855721468946, 2.629000458859927, 2.6321451962509075, 2.6352899336418885, 2.638434671032869, 2.64157940842385, 2.6447241458148305, 2.6478688832058115, 2.651013620596792, 2.654158357987773, 2.657303095378754, 2.6604478327697345, 2.6635925701607155, 2.666737307551696, 2.669882044942677, 2.6730267823336575, 2.6761715197246385, 2.679316257115619, 2.6824609945066, 2.6856057318975806, 2.6887504692885615, 2.691895206679542, 2.695039944070523, 2.698184681461504, 2.7013294188524846, 2.7044741562434655, 2.707618893634446, 2.710763631025427, 2.7139083684164076, 2.7170531058073886, 2.720197843198369, 2.72334258058935, 2.7264873179803306, 2.7296320553713116, 2.732776792762292, 2.735921530153273, 2.739066267544254, 2.7422110049352346, 2.7453557423262156, 2.748500479717196, 2.751645217108177, 2.7547899544991576, 2.7579346918901386, 2.761079429281119, 2.7642241666721, 2.7673689040630807, 2.7705136414540616, 2.773658378845042, 2.776803116236023, 2.779947853627004, 2.7830925910179847, 2.7862373284089657, 2.789382065799946, 2.792526803190927, 2.7956715405819077, 2.7988162779728887, 2.801961015363869, 2.80510575275485, 2.8082504901458307, 2.8113952275368117, 2.8145399649277922, 2.817684702318773, 2.820829439709754, 2.8239741771007347, 2.8271189144917157, 2.8302636518826962, 2.833408389273677, 2.8365531266646578, 2.8396978640556387, 2.8428426014466193, 2.8459873388376002, 2.849132076228581, 2.8522768136195618, 2.8554215510105423, 2.8585662884015233, 2.8617110257925042, 2.864855763183485, 2.8680005005744658, 2.8711452379654463, 2.8742899753564273, 2.877434712747408, 2.880579450138389, 2.8837241875293693, 2.8868689249203503, 2.890013662311331, 2.893158399702312, 2.8963031370932923, 2.8994478744842733, 2.9025926118752543, 2.905737349266235, 2.908882086657216, 2.9120268240481963, 2.9151715614391773, 2.918316298830158, 2.921461036221139, 2.9246057736121194, 2.9277505110031004, 2.930895248394081, 2.934039985785062, 2.9371847231760424, 2.9403294605670234, 2.9434741979580044, 2.946618935348985, 2.949763672739966, 2.9529084101309464, 2.9560531475219274, 2.959197884912908, 2.962342622303889, 2.9654873596948694, 2.9686320970858504, 2.971776834476831, 2.974921571867812, 2.9780663092587925, 2.9812110466497734, 2.9843557840407544, 2.987500521431735, 2.990645258822716, 2.9937899962136965, 2.9969347336046774, 3.000079470995658, 3.003224208386639, 3.0063689457776195, 3.0095136831686005, 3.012658420559581, 3.015803157950562, 3.018947895341543, 3.0220926327325235, 3.0252373701235045, 3.028382107514485, 3.031526844905466, 3.0346715822964465, 3.0378163196874275, 3.040961057078408, 3.044105794469389, 3.0472505318603695, 3.0503952692513505, 3.053540006642331, 3.056684744033312, 3.059829481424293, 3.0629742188152735, 3.0661189562062545, 3.069263693597235, 3.072408430988216, 3.0755531683791966, 3.0786979057701775, 3.081842643161158, 3.084987380552139, 3.0881321179431196, 3.0912768553341006, 3.094421592725081, 3.097566330116062, 3.100711067507043, 3.1038558048980236, 3.1070005422890046, 3.110145279679985, 3.113290017070966, 3.1164347544619466, 3.1195794918529276, 3.122724229243908, 3.125868966634889, 3.1290137040258696, 3.1321584414168506, 3.135303178807831, 3.138447916198812, 3.141592653589793], \"y\": [0.0, 0.00314473220773636, 0.006289433316067751, 0.009434072225896754, 0.012578617838741058, 0.015723039057040998, 0.01886730478446709, 0.022011383926227562, 0.025155245389375847, 0.02829885808311809, 0.0314421909191206, 0.03458521281181731, 0.03772789267871718, 0.040870199440711574, 0.04401210202238166, 0.04715356935230567, 0.05029457036336618, 0.053435073993057414, 0.056575049183792345, 0.05971446488320988, 0.06285329004448194, 0.06599149362662049, 0.06912904459478454, 0.072265911920587, 0.07540206458240159, 0.0785374715656696, 0.08167210186320663, 0.08480592447550919, 0.08793890841106125, 0.0910710226866408, 0.09420223632762625, 0.09733251836830262, 0.10046183785216795, 0.10359016383223929, 0.10671746537135889, 0.10984371154250001, 0.11296887142907283, 0.11609291412523022, 0.11921580873617335, 0.1223375243784572, 0.12545803018029603, 0.12857729528186868, 0.1316952888356236, 0.1348119800065842, 0.13792733797265358, 0.1410413319249193, 0.1441539310679583, 0.14726510462014114, 0.1503748218139367, 0.15348305189621625, 0.15658976412855766, 0.1596949277875494, 0.1627985121650943, 0.16590048656871334, 0.16900082032184907, 0.172099482764169, 0.17519644325186898, 0.17829167115797595, 0.18138513587265107, 0.18447680680349232, 0.18756665337583714, 0.19065464503306453, 0.19374075123689763, 0.19682494146770538, 0.19990718522480458, 0.20298745202676133, 0.20606571141169255, 0.20914193293756736, 0.21221608618250787, 0.2152881407450903, 0.21835806624464543, 0.2214258323215591, 0.22449140863757258, 0.22755476487608237, 0.23061587074244014, 0.23367469596425242, 0.23673121029167973, 0.23978538349773595, 0.24283718537858714, 0.24588658575385025, 0.2489335544668916, 0.25197806138512513, 0.25502007640031044, 0.2580595694288502, 0.2610965104120882, 0.2641308693166063, 0.2671626161345213, 0.27019172088378207, 0.27321815360846585, 0.2762418843790744, 0.27926288329283006, 0.28228112047397164, 0.28529656607404974, 0.2883091902722218, 0.2913189632755472, 0.2943258553192818, 0.2973298366671723, 0.3003308776117504, 0.30332894847462666, 0.3063240196067834, 0.30931606138886886, 0.31230504423148947, 0.31529093857550244, 0.3182737148923085, 0.32125334368414366, 0.3242297954843709, 0.3272030408577716, 0.3301730504008367, 0.33313979474205757, 0.336103244542216, 0.33906337049467516, 0.3420201433256687, 0.34497353379459045, 0.34792351269428384, 0.3508700508513305, 0.35381311912633867, 0.3567526884142317, 0.3596887296445357, 0.3626212137816669, 0.36555011182521896, 0.3684753948102499, 0.3713970338075681, 0.37431499992401884, 0.3772292643027698, 0.38013979812359666, 0.38304657260316766, 0.3859495589953287, 0.38884872859138747, 0.3917440527203973, 0.39463550274944076, 0.3975230500839129, 0.40040666616780385, 0.4032863224839812, 0.4061619905544724, 0.4090336419407459, 0.4119012482439926, 0.41476478110540693, 0.4176242122064669, 0.4204795132692143, 0.42333065605653436, 0.4261776123724353, 0.4290203540623264, 0.4318588530132973, 0.4346930811543956, 0.4375230104569043, 0.44034861293461924, 0.4431698606441261, 0.44598672568507597, 0.4487991802004621, 0.451607196376895, 0.4544107464448774, 0.45720980267907907, 0.46000433739861096, 0.46279432296729894, 0.46557973179395706, 0.46836053633266045, 0.4711367090830178, 0.47390822259044313, 0.47667504944642736, 0.4794371622888097, 0.4821945338020477, 0.4849471367174877, 0.4876949438136345, 0.49043792791642044, 0.4931760618994744, 0.4959093186843894, 0.49863767124099145, 0.5013610925876059, 0.5040795557913246, 0.5067930339682725, 0.5095015002838732, 0.5122049279531143, 0.5149032902408126, 0.5175965604618784, 0.5202847119815789, 0.5229677182158023, 0.5256455526313207, 0.5283181887460514, 0.5309856001293203, 0.5336477604021223, 0.5363046432373824, 0.5389562223602163, 0.54160247154819, 0.544243364631579, 0.5468788754936273, 0.549508978070806, 0.5521336463530702, 0.554752854384117, 0.5573665762616421, 0.5599747861375953, 0.5625774582184371, 0.5651745667653928, 0.5677660860947078, 0.5703519905779013, 0.5729322546420199, 0.5755068527698899, 0.5780757595003707, 0.5806389494286055, 0.5831963972062733, 0.5857480775418393, 0.588293965200805, 0.5908340350059579, 0.5933682618376204, 0.5958966206338977, 0.5984190863909268, 0.6009356341631229, 0.6034462390634261, 0.605950876263548, 0.608449520994217, 0.610942148545423, 0.6134287342666618, 0.6159092535671796, 0.6183836819162153, 0.6208519948432436, 0.6233141679382166, 0.6257701768518059, 0.6282199972956423, 0.6306636050425571, 0.6331009759268212, 0.635532085844384, 0.6379569107531118, 0.6403754266730259, 0.6427876096865393, 0.6451934359386934, 0.647592881637394, 0.6499859230536466, 0.652372536521791, 0.6547526984397349, 0.6571263852691885, 0.6594935735358959, 0.661854239829868, 0.664208360805614, 0.666555913182372, 0.6688968737443394, 0.6712312193409027, 0.6735589268868658, 0.675879973362679, 0.6781943358146663, 0.6805019913552524, 0.682802917163189, 0.6850970904837809, 0.6873844886291103, 0.6896650889782618, 0.6919388689775461, 0.6942058061407225, 0.6964658780492217, 0.6987190623523674, 0.7009653367675974, 0.7032046790806838, 0.7054370671459531, 0.7076624788865044, 0.7098808922944285, 0.7120922854310253, 0.7142966364270209, 0.7164939234827832, 0.7186841248685383, 0.720867218924585, 0.7230431840615092, 0.7252119987603972, 0.7273736415730486, 0.7295280911221884, 0.7316753261016783, 0.7338153252767277, 0.7359480674841034, 0.7380735316323389, 0.7401916967019435, 0.7423025417456093, 0.744406045888419, 0.7465021883280519, 0.7485909483349905, 0.7506723052527243, 0.7527462384979547, 0.7548127275607988, 0.7568717520049917, 0.7589232914680888, 0.7609673256616675, 0.7630038343715273, 0.7650327974578899, 0.7670541948555987, 0.7690680065743167, 0.7710742126987247, 0.7730727933887177, 0.7750637288796015, 0.7770469994822884, 0.7790225855834911, 0.7809904676459174, 0.7829506262084631, 0.7849030418864045, 0.7868476953715899, 0.7887845674326314, 0.7907136389150937, 0.7926348907416847, 0.7945483039124437, 0.796453859504929, 0.7983515386744059, 0.800241322654032, 0.8021231927550437, 0.8039971303669404, 0.8058631169576691, 0.8077211340738067, 0.809571163340744, 0.8114131864628658, 0.8132471852237328, 0.8150731414862622, 0.8168910371929053, 0.8187008543658281, 0.8205025751070875, 0.8222961815988094, 0.8240816561033644, 0.825858980963543, 0.8276281386027311, 0.8293891115250827, 0.8311418823156935, 0.8328864336407734, 0.8346227482478172, 0.8363508089657761, 0.8380705987052264, 0.8397821004585397, 0.8414852973000502, 0.8431801723862223, 0.8448667089558177, 0.8465448903300605, 0.8482146999128022, 0.8498761211906863, 0.8515291377333112, 0.8531737331933927, 0.8548098913069259, 0.8564375958933459, 0.8580568308556875, 0.8596675801807452, 0.8612698279392308, 0.8628635582859311, 0.8644487554598649, 0.8660254037844386, 0.8675934876676012, 0.8691529916019988, 0.8707039001651274, 0.8722461980194862, 0.8737798699127284, 0.8753049006778129, 0.8768212752331536, 0.8783289785827686, 0.8798279958164293, 0.881318312109807, 0.8827999127246196, 0.8842727830087777, 0.8857369083965293, 0.8871922744086039, 0.8886388666523558, 0.8900766708219059, 0.8915056726982838, 0.8929258581495684, 0.8943372131310272, 0.8957397236852553, 0.897133375942314, 0.8985181561198672, 0.8998940505233182, 0.9012610455459447, 0.902619127669034, 0.903968283462016, 0.9053084995825966, 0.9066397627768893, 0.9079620598795461, 0.9092753778138883, 0.9105797035920355, 0.9118750243150338, 0.9131613271729833, 0.9144385994451657, 0.9157068285001692, 0.9169660017960134, 0.918216106880274, 0.9194571313902054, 0.920689063052863, 0.9219118896852251, 0.9231255991943123, 0.9243301795773083, 0.9255256189216778, 0.9267119054052849, 0.9278890272965093, 0.9290569729543627, 0.9302157308286042, 0.9313652894598542, 0.9325056374797074, 0.9336367636108461, 0.934758656667151, 0.935871305553812, 0.936974699267438, 0.9380688268961658, 0.9391536776197676, 0.9402292407097589, 0.9412955055295031, 0.9423524615343186, 0.9434000982715812, 0.9444384053808289, 0.9454673725938634, 0.9464869897348525, 0.9474972467204298, 0.9484981335597952, 0.9494896403548133, 0.9504717573001115, 0.9514444746831766, 0.9524077828844514, 0.9533616723774293, 0.9543061337287487, 0.9552411575982869, 0.956166734739251, 0.9570828559982708, 0.9579895123154889, 0.9588866947246497, 0.959774394353189, 0.960652602422321, 0.9615213102471254, 0.9623805092366334, 0.9632301908939126, 0.9640703468161506, 0.964900968694739, 0.9657220483153546, 0.9665335775580414, 0.9673355483972902, 0.9681279529021187, 0.9689107832361495, 0.9696840316576876, 0.970447690519797, 0.9712017522703762, 0.9719462094522335, 0.97268105470316, 0.9734062807560027, 0.9741218804387362, 0.9748278466745341, 0.9755241724818386, 0.9762108509744296, 0.9768878753614925, 0.9775552389476861, 0.9782129351332084, 0.9788609574138615, 0.9794992993811165, 0.9801279547221765, 0.9807469172200396, 0.9813561807535595, 0.9819557392975066, 0.9825455869226277, 0.9831257177957042, 0.9836961261796101, 0.9842568064333687, 0.984807753012208, 0.9853489604676164, 0.9858804234473958, 0.9864021366957145, 0.98691409505316, 0.9874162934567889, 0.9879087269401781, 0.9883913906334728, 0.9888642797634357, 0.9893273896534935, 0.9897807157237835, 0.9902242534911985, 0.9906579985694317, 0.9910819466690196, 0.9914960935973848, 0.9919004352588768, 0.9922949676548136, 0.9926796868835203, 0.9930545891403677, 0.9934196707178107, 0.9937749280054242, 0.9941203574899392, 0.9944559557552776, 0.9947817194825852, 0.995097645450266, 0.9954037305340125, 0.9956999717068377, 0.9959863660391043, 0.9962629106985543, 0.9965296029503367, 0.9967864401570342, 0.9970334197786902, 0.9972705393728327, 0.9974977965944997, 0.9977151891962615, 0.9979227150282433, 0.9981203720381463, 0.9983081582712682, 0.9984860718705224, 0.9986541110764564, 0.9988122742272691, 0.9989605597588274, 0.9990989662046814, 0.9992274921960794, 0.9993461364619809, 0.9994548978290693, 0.9995537752217638, 0.9996427676622299, 0.9997218742703887, 0.9997910942639262, 0.9998504269583004, 0.9998998717667489, 0.9999394282002937, 0.9999690958677468, 0.999988874475714, 0.9999987638285974, 0.9999987638285974, 0.999988874475714, 0.9999690958677468, 0.9999394282002937, 0.9998998717667489, 0.9998504269583004, 0.9997910942639262, 0.9997218742703887, 0.9996427676622299, 0.9995537752217639, 0.9994548978290693, 0.9993461364619809, 0.9992274921960794, 0.9990989662046815, 0.9989605597588275, 0.9988122742272691, 0.9986541110764565, 0.9984860718705225, 0.9983081582712682, 0.9981203720381463, 0.9979227150282433, 0.9977151891962615, 0.9974977965944997, 0.9972705393728327, 0.9970334197786902, 0.9967864401570343, 0.9965296029503368, 0.9962629106985544, 0.9959863660391044, 0.9956999717068378, 0.9954037305340125, 0.995097645450266, 0.9947817194825853, 0.9944559557552776, 0.9941203574899393, 0.9937749280054242, 0.9934196707178107, 0.9930545891403677, 0.9926796868835203, 0.9922949676548137, 0.991900435258877, 0.9914960935973848, 0.9910819466690197, 0.9906579985694317, 0.9902242534911986, 0.9897807157237835, 0.9893273896534935, 0.9888642797634357, 0.9883913906334728, 0.9879087269401781, 0.9874162934567889, 0.98691409505316, 0.9864021366957146, 0.9858804234473959, 0.9853489604676166, 0.9848077530122081, 0.9842568064333687, 0.9836961261796101, 0.9831257177957042, 0.9825455869226277, 0.9819557392975067, 0.9813561807535596, 0.9807469172200397, 0.9801279547221766, 0.9794992993811165, 0.9788609574138615, 0.9782129351332085, 0.9775552389476863, 0.9768878753614926, 0.9762108509744296, 0.9755241724818388, 0.9748278466745343, 0.9741218804387363, 0.9734062807560028, 0.9726810547031601, 0.9719462094522336, 0.9712017522703763, 0.970447690519797, 0.9696840316576877, 0.9689107832361497, 0.9681279529021188, 0.9673355483972903, 0.9665335775580415, 0.9657220483153547, 0.9649009686947391, 0.9640703468161507, 0.9632301908939126, 0.9623805092366335, 0.9615213102471255, 0.9606526024223211, 0.9597743943531891, 0.9588866947246498, 0.9579895123154889, 0.9570828559982709, 0.9561667347392511, 0.955241157598287, 0.9543061337287488, 0.9533616723774293, 0.9524077828844515, 0.9514444746831767, 0.9504717573001116, 0.9494896403548134, 0.9484981335597953, 0.9474972467204299, 0.9464869897348526, 0.9454673725938635, 0.944438405380829, 0.9434000982715813, 0.9423524615343186, 0.9412955055295033, 0.940229240709759, 0.9391536776197678, 0.9380688268961659, 0.9369746992674381, 0.9358713055538121, 0.9347586566671511, 0.9336367636108462, 0.9325056374797075, 0.9313652894598543, 0.9302157308286044, 0.9290569729543628, 0.9278890272965093, 0.926711905405285, 0.9255256189216781, 0.9243301795773085, 0.9231255991943124, 0.9219118896852252, 0.9206890630528632, 0.9194571313902055, 0.9182161068802741, 0.9169660017960135, 0.9157068285001693, 0.9144385994451658, 0.9131613271729834, 0.9118750243150338, 0.9105797035920357, 0.9092753778138886, 0.9079620598795464, 0.9066397627768894, 0.9053084995825968, 0.9039682834620162, 0.902619127669034, 0.9012610455459448, 0.8998940505233182, 0.8985181561198674, 0.8971333759423141, 0.8957397236852556, 0.8943372131310273, 0.8929258581495686, 0.891505672698284, 0.8900766708219061, 0.8886388666523559, 0.8871922744086043, 0.8857369083965295, 0.8842727830087778, 0.8827999127246198, 0.881318312109807, 0.8798279958164296, 0.8783289785827687, 0.8768212752331537, 0.8753049006778131, 0.8737798699127287, 0.8722461980194863, 0.8707039001651278, 0.869152991601999, 0.8675934876676015, 0.8660254037844387, 0.864448755459865, 0.8628635582859312, 0.8612698279392308, 0.8596675801807454, 0.8580568308556876, 0.856437595893346, 0.8548098913069261, 0.853173733193393, 0.8515291377333114, 0.8498761211906867, 0.8482146999128024, 0.8465448903300608, 0.844866708955818, 0.8431801723862224, 0.8414852973000503, 0.8397821004585397, 0.8380705987052266, 0.8363508089657762, 0.8346227482478176, 0.8328864336407735, 0.8311418823156937, 0.8293891115250829, 0.8276281386027314, 0.8258589809635433, 0.8240816561033646, 0.8222961815988096, 0.8205025751070876, 0.8187008543658283, 0.8168910371929055, 0.8150731414862624, 0.8132471852237331, 0.811413186462866, 0.8095711633407441, 0.8077211340738071, 0.8058631169576692, 0.8039971303669408, 0.802123192755044, 0.800241322654032, 0.798351538674406, 0.7964538595049291, 0.7945483039124439, 0.7926348907416848, 0.7907136389150939, 0.7887845674326315, 0.7868476953715902, 0.7849030418864046, 0.7829506262084633, 0.7809904676459176, 0.7790225855834915, 0.7770469994822886, 0.7750637288796016, 0.7730727933887178, 0.7710742126987248, 0.769068006574317, 0.7670541948555988, 0.7650327974578902, 0.7630038343715274, 0.7609673256616678, 0.758923291468089, 0.756871752004992, 0.754812727560799, 0.7527462384979551, 0.7506723052527244, 0.7485909483349906, 0.7465021883280523, 0.744406045888419, 0.7423025417456095, 0.7401916967019436, 0.7380735316323392, 0.7359480674841035, 0.733815325276728, 0.7316753261016785, 0.7295280911221887, 0.7273736415730488, 0.7252119987603977, 0.7230431840615095, 0.720867218924585, 0.7186841248685385, 0.7164939234827833, 0.7142966364270211, 0.7120922854310255, 0.7098808922944289, 0.7076624788865045, 0.7054370671459533, 0.7032046790806841, 0.7009653367675978, 0.6987190623523676, 0.6964658780492221, 0.6942058061407227, 0.6919388689775462, 0.6896650889782621, 0.6873844886291103, 0.6850970904837811, 0.6828029171631891, 0.6805019913552527, 0.6781943358146665, 0.6758799733626794, 0.673558926886866, 0.6712312193409031, 0.6688968737443397, 0.6665559131823724, 0.6642083608056142, 0.661854239829868, 0.6594935735358961, 0.6571263852691887, 0.6547526984397353, 0.6523725365217911, 0.649985923053647, 0.6475928816373941, 0.6451934359386937, 0.6427876096865395, 0.6403754266730264, 0.6379569107531121, 0.6355320858443845, 0.6331009759268215, 0.6306636050425573, 0.6282199972956426, 0.625770176851806, 0.6233141679382169, 0.6208519948432437, 0.6183836819162156, 0.6159092535671797, 0.6134287342666621, 0.6109421485454231, 0.6084495209942175, 0.6059508762635484, 0.6034462390634265, 0.6009356341631231, 0.5984190863909269, 0.5958966206338979, 0.5933682618376205, 0.5908340350059583, 0.5882939652008052, 0.5857480775418397, 0.5831963972062735, 0.5806389494286058, 0.5780757595003709, 0.5755068527698903, 0.5729322546420201, 0.5703519905779019, 0.567766086094708, 0.5651745667653929, 0.5625774582184373, 0.5599747861375954, 0.5573665762616424, 0.5547528543841173, 0.5521336463530706, 0.5495089780708062, 0.5468788754936278, 0.5442433646315792, 0.5416024715481904, 0.5389562223602166, 0.5363046432373829, 0.5336477604021226, 0.5309856001293204, 0.5283181887460517, 0.5256455526313208, 0.5229677182158028, 0.5202847119815791, 0.5175965604618787, 0.5149032902408128, 0.5122049279531147, 0.5095015002838734, 0.5067930339682729, 0.5040795557913248, 0.5013610925876063, 0.4986376712409918, 0.49590931868438953, 0.49317606189947466, 0.4904379279164206, 0.4876949438136349, 0.4849471367174879, 0.4821945338020481, 0.47943716228880995, 0.47667504944642786, 0.47390822259044335, 0.4711367090830183, 0.4683605363326608, 0.4655797317939572, 0.4627943229672993, 0.4600043373986111, 0.4572098026790794, 0.45441074644487756, 0.4516071963768954, 0.44879918020046233, 0.44598672568507636, 0.4431698606441263, 0.44034861293461974, 0.4375230104569045, 0.4346930811543961, 0.4318588530132976, 0.42902035406232647, 0.42617761237243557, 0.4233306560565345, 0.4204795132692146, 0.41762421220646706, 0.4147647811054074, 0.4119012482439928, 0.40903364194074626, 0.4061619905544726, 0.40328632248398166, 0.40040666616780407, 0.3975230500839134, 0.3946355027494411, 0.3917440527203974, 0.3888487285913878, 0.38594955899532885, 0.38304657260316805, 0.38013979812359683, 0.37722926430277026, 0.37431499992401907, 0.3713970338075685, 0.3684753948102501, 0.36555011182521946, 0.3626212137816672, 0.3596887296445362, 0.356752688414232, 0.3538131191263388, 0.35087005085133083, 0.347923512694284, 0.34497353379459084, 0.3420201433256689, 0.3390633704946756, 0.33610324454221624, 0.33313979474205796, 0.330173050400837, 0.3272030408577721, 0.3242297954843712, 0.3212533436841442, 0.3182737148923088, 0.31529093857550256, 0.3123050442314898, 0.309316061388869, 0.3063240196067838, 0.3033289484746268, 0.30033087761175087, 0.2973298366671725, 0.29432585531928224, 0.29131896327554746, 0.2883091902722223, 0.28529656607405, 0.2822811204739722, 0.2792628832928304, 0.2762418843790745, 0.2732181536084662, 0.27019172088378224, 0.2671626161345217, 0.26413086931660645, 0.26109651041208864, 0.25805956942885044, 0.2550200764003109, 0.2519780613851254, 0.2489335544668921, 0.24588658575385056, 0.24283718537858767, 0.2397853834977363, 0.23673121029167987, 0.23367469596425278, 0.23061587074244033, 0.22755476487608275, 0.22449140863757278, 0.22142583232155955, 0.21835806624464565, 0.21528814074509078, 0.21221608618250815, 0.20914193293756786, 0.20606571141169286, 0.20298745202676186, 0.1999071852248049, 0.19682494146770554, 0.193740751236898, 0.1906546450330647, 0.18756665337583753, 0.18447680680349254, 0.1813851358726515, 0.17829167115797617, 0.17519644325186945, 0.17209948276416928, 0.16900082032184957, 0.16590048656871365, 0.16279851216509486, 0.15969492778754976, 0.15658976412855782, 0.15348305189621664, 0.15037482181393688, 0.14726510462014156, 0.14415393106795849, 0.14104133192491974, 0.1379273379726538, 0.1348119800065847, 0.13169528883562387, 0.12857729528186918, 0.12545803018029636, 0.12233752437845731, 0.11921580873617368, 0.11609291412523036, 0.1129688714290732, 0.10984371154250018, 0.10671746537135932, 0.10359016383223951, 0.10046183785216839, 0.09733251836830287, 0.09420223632762673, 0.09107102268664109, 0.08793890841106176, 0.0848059244755095, 0.08167210186320675, 0.07853747156566997, 0.07540206458240174, 0.07226591192058739, 0.06912904459478472, 0.06599149362662092, 0.06285329004448216, 0.05971446488321034, 0.0565750491837926, 0.05343507399305791, 0.05029457036336647, 0.04715356935230619, 0.04401210202238198, 0.04087019944071169, 0.03772789267871753, 0.034585212811817465, 0.031442190919120996, 0.028298858083118276, 0.025155245389376274, 0.022011383926227784, 0.01886730478446755, 0.015723039057041255, 0.012578617838741556, 0.009434072225897046, 0.006289433316068282, 0.0031447322077366876, 1.2246467991473532e-16], \"type\": \"scatter\", \"uid\": \"1f5340a4-d691-11e8-a119-d017c29ae013\"}], {\"title\": \"Simple Example\", \"xaxis\": {\"title\": \"nanoseconds\"}, \"yaxis\": {\"title\": \"volts\"}}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layout = go.Layout(\n",
    "    title='Simple Example',\n",
    "    yaxis=dict(\n",
    "        title='volts'\n",
    "    ),\n",
    "    xaxis=dict(\n",
    "        title='nanoseconds'\n",
    "    )\n",
    ")\n",
    "\n",
    "trace1 = go.Scatter(\n",
    "    x=x,\n",
    "    y=np.sin(x),\n",
    "    mode='lines',\n",
    "    name='sin(x)',\n",
    "    line=dict(\n",
    "        shape='spline'\n",
    "    )\n",
    ")\n",
    "\n",
    "fig=go.Figure(data=[trace1], layout=layout)\n",
    "py.offline.iplot(fig)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "59b35363a1ce428a8053f938463c28fb",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(SelectMultiple(description='Bessel Order', index=(0,), options=(0, 1, 2, 3, 4, 5), value…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def update_plot(signal, freq):\n",
    "    data = []\n",
    "    for s in signal:        \n",
    "        trace1 = go.Scatter(\n",
    "            x=x,\n",
    "            y=special.jv(s, freq * x),\n",
    "            mode='lines',\n",
    "            name='bessel {}'.format(s),\n",
    "            line=dict(\n",
    "                shape='spline'\n",
    "            )\n",
    "        )\n",
    "        data.append(trace1)\n",
    "    fig=go.Figure(data=data, layout=layout)\n",
    "    py.offline.iplot(fig)\n",
    "    \n",
    "signal = widgets.SelectMultiple(options=list(range(6)), value=(0,), description='Bessel Order')\n",
    "freq = widgets.FloatSlider(min=1, max=20, value=1, description='Freq')\n",
    "widgets.interactive(update_plot, signal=signal, freq=freq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'cdf' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-16-3f36ca8f9d12>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mcdf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mloc\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mscale\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m: name 'cdf' is not defined"
     ]
    }
   ],
   "source": [
    "cdf(x, loc=0, scale=1) #cummulative density function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}