einsteinpyTest.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-08T23:59:22.351516Z",
     "start_time": "2020-01-08T23:59:22.343515Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "        <script type=\"text/javascript\">\n",
       "        window.PlotlyConfig = {MathJaxConfig: 'local'};\n",
       "        if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}\n",
       "        if (typeof require !== 'undefined') {\n",
       "        require.undef(\"plotly\");\n",
       "        requirejs.config({\n",
       "            paths: {\n",
       "                'plotly': ['https://cdn.plot.ly/plotly-latest.min']\n",
       "            }\n",
       "        });\n",
       "        require(['plotly'], function(Plotly) {\n",
       "            window._Plotly = Plotly;\n",
       "        });\n",
       "        }\n",
       "        </script>\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import astropy.units as u\n",
    "\n",
    "from plotly.offline import init_notebook_mode\n",
    "\n",
    "from einsteinpy.plotting import GeodesicPlotter\n",
    "from einsteinpy.coordinates import SphericalDifferential, CartesianDifferential\n",
    "from einsteinpy.bodies import Body\n",
    "from einsteinpy.geodesic import Geodesic\n",
    "init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-01-09T00:50:42.100745Z",
     "start_time": "2020-01-09T00:50:37.243698Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "marker": {
          "color": "#ffcc00",
          "size": 0
         },
         "mode": "markers",
         "name": "attractor",
         "type": "scatter",
         "x": [
          0
         ],
         "y": [
          0
         ]
        },
        {
         "marker": {
          "color": "#35c847",
          "line": {
           "width": 2
          },
          "size": 5
         },
         "mode": "lines",
         "name": "geodesic",
         "type": "scatter",
         "x": [
          83.1491579260158,
          83.1517389467587,
          83.1735298807884,
          83.18801070202696,
          83.19517707821157,
          83.19502340285317,
          83.18754279046762,
          83.17272707057323,
          83.15056678044147,
          83.12105115658426,
          83.08416812495949,
          83.03990428987177,
          82.9882449215434,
          82.92917394232688,
          82.86267391152666,
          82.78872600879454,
          82.70731001605954,
          82.61840429794862,
          82.52198578065153,
          82.41802992917751,
          82.30651072294809,
          82.1874006296653,
          82.06067057738876,
          81.92628992475075,
          81.78422642923196,
          81.63444621341488,
          81.47691372912476,
          81.31159171936204,
          81.13844117792146,
          80.95742130658604,
          80.76848946977498,
          80.57160114651553,
          80.36670987959845,
          80.1537672217667,
          79.9327226787742,
          79.70352364914017,
          79.4661153604099,
          79.22044080171855,
          78.96644065243822,
          78.70405320667132,
          78.43321429333398,
          78.15385719155276,
          77.86591254107513,
          77.5693082473694,
          77.26396938106328,
          76.94981807133975,
          76.62677339287752,
          76.2947512458867,
          75.95366422875209,
          75.60342150275231,
          75.24392864827658,
          74.87508751190757,
          74.49679604368094,
          74.1089481237684,
          73.71143337775895,
          73.3041369796349,
          72.88693944145035,
          72.45971638862224,
          72.02233831963481,
          71.57467034883551,
          71.11657193086391,
          70.64789656510138,
          70.1684914783566,
          69.67819728380799,
          69.1768476140038,
          68.66426872547424,
          68.14027907222714,
          67.60468884508147,
          67.05729947342857,
          66.49790308559766,
          65.92628192352811,
          65.34220770690845,
          64.74544094131754,
          64.1357301641847,
          63.51281112155364,
          62.876405867671906,
          62.226221778306495,
          61.561950467379376,
          60.8832665949868,
          60.189826553068876,
          59.48126701287808,
          58.75720331588863,
          58.017227686810884,
          57.26090724382231,
          56.48778177686955,
          55.69736125977183,
          54.889123055656505,
          54.06250876772034,
          53.21692067809606,
          52.35171770627432,
          51.46621080451889,
          50.55965769026732,
          49.6312567936446,
          48.680140270610394,
          47.70536589713767,
          46.705907614759106,
          45.680644439496454,
          44.62834736997956,
          43.54766382995678,
          42.43709904610887,
          41.29499358066251,
          40.11949599000541,
          38.90852923580575,
          37.65974898908693,
          36.370491270468754,
          35.03770585042368,
          33.65787031125656,
          32.22687734518912,
          30.739884208230066,
          29.354533810804337,
          27.90835532600747,
          26.650911260409014,
          25.337394744587495,
          24.19395586481172,
          23.001865797583395,
          21.963392187178147,
          20.882564690305387,
          19.940637107785356,
          18.961766298102543,
          18.10864162595909,
          17.22327229295322,
          16.451903213779286,
          15.652411453570384,
          14.956446840450104,
          14.236011372429887,
          13.609780016436714,
          12.962343236088463,
          12.400821534111302,
          11.821038622584048,
          11.319806873652768,
          10.80298651208397,
          10.358193647974945,
          9.900250410058975,
          9.50863946682486,
          9.106111825314027,
          8.765222512760063,
          8.415475722881881,
          8.1243196397203,
          7.8567671983459135,
          7.614564719664402,
          7.400612256257674,
          7.222736598314134,
          7.042040816744989,
          6.849234641805298,
          6.63873391417696,
          6.4169590771998815,
          6.188365196771714,
          5.955131199313533,
          5.716905335232814,
          5.473286606212834,
          5.250728221357117,
          5.023122736823635,
          4.790036766706425,
          4.581717134281659,
          4.36845401086834,
          4.149800131855612,
          3.959174364218916,
          3.763789306410528,
          3.585224528733742,
          3.4021272177729225,
          3.2357116585331114,
          3.0649909474758235,
          2.9105448986982143,
          2.752047018829955,
          2.609269763161878,
          2.4627108621896014,
          2.331257780752262,
          2.1963041581233917,
          2.0758315761584876,
          1.9521469507031746,
          1.8423143757469553,
          1.729563554940011,
          1.6299881971381993,
          1.5277916576187693,
          1.4379783632085663,
          1.3458405615455877,
          1.265139279598334,
          1.1824032890320266,
          1.1100303900936521,
          1.035897104467558,
          0.9710051883350534,
          0.9046036924991823,
          0.8463581468263108,
          0.7868252559935238,
          0.7344611542545514,
          0.6810017136008716,
          0.6337595501244261,
          0.5856052745777143,
          0.5428272555634384,
          0.49930103968026435,
          0.46058861183169986,
          0.4212685410425333,
          0.3864172947655887,
          0.35108349032847075,
          0.32028731161297086,
          0.2891243474177981,
          0.26400294878790254,
          0.24158614341860368,
          0.21902711771686176,
          0.19233565451034915,
          0.1618195457579652,
          0.12749242224247442,
          0.08950156870173445,
          0.055719088690454374,
          0.02172641585529331,
          -0.007638725249602139,
          -0.03702053585843312,
          -0.0663076670139978,
          -0.09161808600499845,
          -0.1167340517321046,
          -0.14154077072056542,
          -0.16593198197736525,
          -0.1869469778051424,
          -0.20747138160795317,
          -0.22737532179779427,
          -0.2465421457141433,
          -0.2648470060450173,
          -0.2821596424567394,
          -0.29834830323420736,
          -0.31328473129972134,
          -0.3272075183086206,
          -0.3387003356805645,
          -0.3469173915591104,
          -0.3534064016877005,
          -0.359150062903217,
          -0.3648007229325946,
          -0.369985156267914,
          -0.3743406439027205,
          -0.37741563898867414,
          -0.37869979812625726,
          -0.37827493712094873,
          -0.3762694889026383,
          -0.37281927752981603,
          -0.3680612717544722,
          -0.3621288428462556,
          -0.3551484805585283,
          -0.3472377674703746,
          -0.33850434949963276,
          -0.32904563966036504,
          -0.3189490250328109,
          -0.3080948863455781,
          -0.29638057043926547,
          -0.2837593701158271,
          -0.2701436296682356,
          -0.25536247391397476,
          -0.2390111747873678,
          -0.22371780245475825,
          -0.20813710084209427,
          -0.19233288229978918,
          -0.17533885645198766,
          -0.15723582653932294,
          -0.1380522258574408,
          -0.11776804844651785,
          -0.09634144316623101,
          -0.07371772096517192,
          -0.04983273180098684,
          -0.024614206688817992,
          0.0020177795566240072,
          0.030150784096769887,
          0.05988708173765595,
          0.09137104721264822,
          0.12471523897414798,
          0.16004361569779682,
          0.19749055183092337,
          0.23720139408196048,
          0.2793329529950759,
          0.32405392925900633,
          0.3715452068722738,
          0.4219999322599282,
          0.47562328261070413,
          0.5326318144435354,
          0.5932522817629334,
          0.6577198325413166,
          0.7262755452471451,
          0.7991633649931104,
          0.8766266433155883,
          0.9589046581652746,
          1.0462296441673704,
          1.138824926678262,
          1.2369046593487465,
          1.3406753965943212,
          1.4503393540923524,
          1.5660988554102204,
          1.688161264396808,
          1.8167437194471006,
          1.952077175436959,
          2.09440951898575,
          2.2440077539658447,
          2.4011594033838013,
          2.5661733357484926,
          2.7393802228014708,
          2.921132800132803,
          3.1118060572662176,
          3.3117974410438817,
          3.5215271234870453,
          3.7414383611459683,
          3.9719979579262588,
          4.213696833879579,
          4.467050697488506,
          4.732600816606584,
          5.010914882481892,
          5.302587961371383,
          5.608243529152161,
          5.928534584790316,
          6.264144839686524,
          6.615789980432576,
          6.984219003734018,
          7.37021562203983,
          7.774599739879458,
          8.198229000495212,
          8.642000403361147,
          9.106851992930654,
          9.593764619580751,
          10.103763773544049,
          10.63792149290272,
          11.197358346885036,
          11.783245495309455,
          12.396806825749966,
          13.039321169247499,
          13.712124596106875,
          14.416612792536805,
          15.154243520197715,
          15.926539159091043,
          16.73508933647913,
          17.581553643592123,
          18.467664442875297,
          19.395229770464688,
          20.36613633922634,
          21.382352651763554,
          22.44593223540027,
          23.559017018649982,
          24.723840877033258,
          25.94273338898158,
          27.21812386326349,
          28.552545727943873,
          29.94864141454672,
          31.407817773248883,
          32.81851599740064,
          34.18451025707999,
          35.509044981930195,
          36.794935915660645,
          38.044647347187194,
          39.26035209151699,
          40.443978742307344,
          41.59724937403432,
          42.721709970038624,
          43.81875523491294,
          44.88964901829577,
          45.93554127070123,
          46.95748223093443,
          47.956434382865375,
          48.93328259940546,
          49.888842801556734,
          50.82386939215425,
          51.73906167162094,
          52.63506940259339,
          53.51249765869814,
          54.37191106790844,
          55.21383754120591,
          56.038771561530794,
          56.84717709534765,
          57.63949017890835,
          58.41612122295377,
          59.17745707276468,
          59.923862854850476,
          60.65568363690997,
          61.373245923831,
          62.07685900926281,
          62.76681619958446,
          63.443395924807604,
          64.10686274902072,
          64.75746829134053,
          65.39545206693914,
          66.0210422565198,
          66.63445641158884,
          67.23590210198854,
          67.82557751139417,
          68.40367198581816,
          68.97036653959209,
          69.52583432279805,
          70.070241053686,
          70.60374541923223,
          71.12649944666055,
          71.63864884845344,
          72.14033334312175,
          72.63168695377236,
          73.11283828631183,
          73.58391078894309,
          74.04502299445407,
          74.4962887466543,
          74.93781741218895,
          75.36971407884695,
          75.7920797413782,
          76.2050114757439,
          76.60860260264272,
          77.00294284108202,
          77.38811845269703,
          77.7642123774613,
          78.13130436137813,
          78.48947107669295,
          78.83878623512364,
          79.17932069456447,
          79.51114255968348,
          79.83431727679981,
          80.14890772339702,
          80.454974292601,
          80.75257497292567,
          81.04176542356721,
          81.32259904550489,
          81.59512704864933,
          81.85939851525927,
          82.11546045983258,
          82.36335788566215,
          82.60313383823295,
          82.83482945562406,
          83.05848401606754,
          83.27413498280508,
          83.48181804637323,
          83.68156716443838,
          83.87341459929405,
          84.05739095312545,
          84.23352520113714,
          84.40184472263459,
          84.56237533014195,
          84.71514129663355,
          84.86016538094967,
          84.99746885146287,
          85.12707150805446,
          85.24899170245772,
          85.36324635701813,
          85.46985098191738,
          85.56881969090414,
          85.66016521556942,
          85.74389891820171,
          85.82003080325308,
          85.88856952744352,
          85.94952240852822,
          86.0028954327486,
          86.04869326098483,
          86.08691923362508,
          86.1175753741627,
          86.1406623915305,
          86.15617968117785,
          86.16412532489359,
          86.16449608937468,
          86.1572874235381,
          86.14249345456967,
          86.12010698270196,
          86.09011947470873,
          86.05252105610212,
          86.0073005020144,
          85.9544452267435,
          85.89394127193837,
          85.82577329339695,
          85.7499245464452,
          85.66637686986371,
          85.57511066832284,
          85.476104893285,
          85.36933702232731,
          85.2547830368346,
          85.13241739800749,
          85.00221302112583,
          84.86414124800267,
          84.71817181755837,
          84.56427283443915,
          84.40241073559766,
          84.23255025474738,
          84.05465438459528,
          83.86868433674964,
          83.67459949919245,
          83.47235739119682,
          83.26191361556076,
          83.04322180801904,
          82.8162335836836,
          82.5808984803521,
          82.33716389851148,
          82.0849750378495,
          81.8242748300734,
          81.55500386781839,
          81.2771003294116,
          80.99049989923837,
          80.69513568343744,
          80.39093812062919,
          80.07783488735667,
          79.75575079789319,
          79.42460769803998,
          79.08432435250697,
          78.73481632543363,
          78.37599585356865,
          78.00777171158565,
          77.63004906896386,
          77.24272933781367,
          76.84571001096732,
          76.4388844895947,
          76.02214189953295,
          75.59536689544159,
          75.15843945180958,
          74.71123463974386,
          74.25362238836367,
          73.78546722950438,
          73.30662802430224,
          72.81695767008121,
          72.31630278579595,
          71.80450337409546,
          71.2813924578591,
          70.74679568881653,
          70.20053092559043,
          69.64240777819185,
          69.07222711564748,
          68.48978053303652,
          67.89484977375943,
          67.28720610233479,
          66.66660962242148,
          66.03280853406902,
          65.3855383234012,
          64.72452087701146,
          64.04946351227412,
          63.36005791352321,
          62.65597896258664,
          61.93688345044672,
          61.20240865477677,
          60.45217076571581,
          59.68576313941098,
          58.90275435548283,
          58.10268605053391,
          57.28507049497051,
          56.44938787455223,
          55.59508323097849,
          54.721563007152305,
          53.82819113212713,
          52.91428456761879,
          51.9791082216662,
          51.02186911464922,
          50.041709657218156,
          49.03769986714424,
          48.008828310478684,
          46.95399149871584,
          45.871981403747874,
          44.761470660463964,
          43.62099490463755,
          42.44893152938647,
          41.243473919629665,
          40.002599914825076,
          38.72403281687464,
          37.4051926423118,
          36.04313442102071,
          34.634469014908724,
          33.17525991582261,
          31.660886350013666,
          30.0858580028232,
          28.679777495151534,
          27.209286660619952,
          25.93209182218601,
          24.59739784987019,
          23.436472670945854,
          22.225403762050718,
          21.170780894614033,
          20.07220893937648,
          19.114594678158284,
          18.11829891626131,
          17.24908482927586,
          16.34570316681424,
          15.556952112199523,
          14.737927163709506,
          14.022346577364985,
          13.2798699187373,
          12.630777917008183,
          11.957734688590383,
          11.36902260831191,
          10.75893786254424,
          10.225031642387632,
          9.672019351972317,
          9.187841390170837,
          8.68655673677503,
          8.24748939176887,
          7.793084799270342,
          7.3949364448758645,
          6.983021779353737,
          6.621996237764682,
          6.2486036551841115,
          5.921273870003217,
          5.5828279383946855,
          5.286114847605102,
          4.979408741634119,
          4.710566266361932,
          4.432744825990923,
          4.1893511600621665,
          3.937900853230372,
          3.717853596246852,
          3.490596650299555,
          3.292102871574457,
          3.087186079099061,
          2.9087278348424253,
          2.724585560084842,
          2.564835419046263,
          2.4001003015873548,
          2.257782768543083,
          2.11114006733759,
          1.9848911313458488,
          1.8549311971961133,
          1.7432408579753538,
          1.6283980144555936,
          1.5296645879864363,
          1.4282729485634378,
          1.3409134046540452,
          1.2513224136124124,
          1.1738688057605822,
          1.0945453687837066,
          1.0256988086139511,
          0.9552851220700833,
          0.8939335352668693,
          0.8312663454709023,
          0.7764826515846347,
          0.7205911359451372,
          0.6714573074313955,
          0.6214178991095277,
          0.5773041462246951,
          0.532453042697437,
          0.49295816806666154,
          0.4528692769082834,
          0.4178188035426396,
          0.38229960518239414,
          0.35194218387831366,
          0.32122836731416426,
          0.2971939017374767,
          0.27603937333283,
          0.2547658656078774,
          0.23013383793427353,
          0.20272280461509656,
          0.17312043863321014,
          0.14158641852265094,
          0.10815643347604591,
          0.07272158846299796,
          0.035493851204579416,
          -0.0018302583950846648,
          -0.03290748078112751,
          -0.06401447520295876,
          -0.09098151242420878,
          -0.11777154600336896,
          -0.14422894526598112,
          -0.1665366303543169,
          -0.18845571333014527,
          -0.20983241146474124,
          -0.22823171265597816,
          -0.24602975763412127,
          -0.26309263441824055,
          -0.27930225946374965,
          -0.29453368263745155,
          -0.30720787712411335,
          -0.3189070150084919,
          -0.3295676686956606,
          -0.3392533641442253,
          -0.34806514273493866,
          -0.35524187116226186,
          -0.35950310007676933,
          -0.363006457652912,
          -0.36583608112073,
          -0.3679860528034099,
          -0.3691677185730266,
          -0.3691469625960263,
          -0.3676819152627241,
          -0.3645671174086668,
          -0.3598600306862888,
          -0.35373706578445024,
          -0.34633319391992395,
          -0.33778138961936016,
          -0.32820889742695797,
          -0.3177347745675404,
          -0.3064684985057283,
          -0.29450939500205675,
          -0.2819466544196673,
          -0.2688597392967582,
          -0.25531902881029234,
          -0.241386586483567,
          -0.2271169720121228,
          -0.21255804517361054,
          -0.1977517298784539,
          -0.18273472064422874,
          -0.16199724439834162,
          -0.13901724809696972,
          -0.11579824508088311,
          -0.09240196521053716,
          -0.06887914906071362,
          -0.04446207060085019,
          -0.01896273997179596,
          0.007734017279655381,
          0.03573614599309009,
          0.06515061610801076,
          0.09611296957234594,
          0.12876277612413478,
          0.16322124930535326,
          0.19961909649079834,
          0.23809653624085847,
          0.27880407349579034,
          0.32190312762080336,
          0.36756649680721654,
          0.41597858628871215,
          0.46733530257742883,
          0.5218434925314943,
          0.5797197922706134,
          0.6411887586662388,
          0.7064802023379296,
          0.7758257446523021,
          0.8494547934147009,
          0.9275903595491385,
          1.0104453651399803,
          1.098220221484126,
          1.191102372801237,
          1.2892681567026316,
          1.3928868047567549,
          1.502125896294336,
          1.6171573004928568,
          1.73816268973117,
          1.8653380074584271,
          1.9988966568088407,
          2.1390714897581025,
          2.286115853431787,
          2.440303999150799,
          2.6019311279639217,
          2.771313280441434,
          2.9487872099203587,
          3.134710322458682,
          3.329460726204989,
          3.533437407622382,
          3.7470605363574916,
          3.970771893075009,
          4.205035411071076,
          4.450337821635912,
          4.7071893938831995,
          4.976124760848274,
          5.2577038251215535,
          5.552512738578263,
          5.861164952297046,
          6.18430233333913,
          6.5225963464675525,
          6.876749299243958,
          7.24749564986155,
          7.6356033772038,
          8.041875413335374,
          8.467151138471612,
          8.91230793928516,
          9.378262830878418,
          9.865974143280038,
          10.376443273362044,
          10.910716502634358,
          11.469886882016601,
          12.055096183799874,
          12.667536921563613,
          13.308454438415266,
          13.979149063638774,
          14.680978337753434,
          15.415359305851196,
          16.183770878814677,
          16.987756261978763,
          17.828925450535603,
          18.708957791204053,
          19.629604610098173,
          20.592691907050472,
          21.600123118358102,
          22.653881950686614,
          23.756035294109125,
          24.90873622488588,
          26.11422711837103,
          27.374842902122293,
          28.693014499137362,
          30.071272536616238,
          31.512251436650992,
          32.99902357405298,
          34.43600602586663,
          35.82705954349678,
          37.17550623024107,
          38.484231636865275,
          39.75576294473267,
          40.99232979167915,
          42.19591226316375,
          43.368279235042124,
          44.511019355323576,
          45.62556633474714,
          46.71321978383535,
          47.775162526472634,
          48.81247509772537,
          49.82614797065831,
          50.81709193591514,
          51.78614696693753,
          52.73408983466552,
          53.66164068259932,
          54.569468732088346,
          55.458197255669965,
          56.32840793104401,
          57.18064466823838,
          58.015416986510395,
          58.833203004643075,
          59.63445209786048,
          60.419587266083965,
          61.18900725128553,
          61.94308843595633,
          62.68218654995754,
          63.406638209069925,
          64.11676230525374,
          64.8128612658613,
          65.49522219670538,
          66.16411792191212,
          66.81980793180652,
          67.46253924864777,
          68.0925472188079,
          68.71005623893522,
          69.31528042274174,
          69.90842421427004,
          70.48968295282074,
          71.05924339413305,
          71.61728419189978,
          72.16397634325095,
          72.69948360145001,
          73.2239628587027,
          73.73756450167757,
          74.24043274207072,
          74.7327059243131,
          75.21451681230951,
          75.68599285691613,
          76.14725644569674,
          76.59842513635427,
          77.03961187510255,
          77.47092520112773,
          77.89246943818354,
          78.30434487427256,
          78.70664793028031,
          79.09947131835473,
          79.48290419075421,
          79.85703227982759,
          80.22193802973229,
          80.57770072044806,
          80.92439658459708,
          81.26209891754037,
          81.59087818118344,
          81.9108021018885,
          82.2219357628608,
          82.5243416913474,
          82.81807994096125,
          83.10320816941902,
          83.37978171195984,
          83.64785365069243,
          83.90747488009876,
          84.1586941689065,
          84.4015582185265,
          84.63611171823757,
          84.86239739728715,
          85.08045607406456,
          85.29032670249245,
          85.49204641577117,
          85.68565056760136,
          85.87117277100077,
          86.04864493482343,
          86.21809729808092,
          86.37955846215858,
          86.53305542101242,
          86.6786135894263,
          86.81625682940299,
          86.9460074747566,
          87.06788635396957,
          87.18191281137112,
          87.28810472669052,
          87.38647853303333,
          87.47704923332458,
          87.55983041525917,
          87.63483426479524,
          87.7020715782237,
          87.76155177284163,
          87.81328289625611,
          87.85727163433971,
          87.89352331785676,
          87.9220419277761,
          87.94283009928282,
          87.95588912449834,
          87.96121895391579,
          87.9588181965535,
          87.94868411882797,
          87.93081264214351,
          87.9051983391933,
          87.87183442896355,
          87.83071277042961,
          87.78182385492924,
          87.72515679719615,
          87.66069932503228,
          87.58843776759561,
          87.50835704227559,
          87.42044064012529,
          87.32467060981607,
          87.22102754007602,
          87.10949054057015,
          86.99003722117548,
          86.8626436696006,
          86.72728442729404,
          86.58393246358098,
          86.43255914796312,
          86.27313422051067,
          86.10562576026969,
          85.93000015160216,
          85.74622204836876,
          85.55425433585866,
          85.35405809036148,
          85.14559253626979,
          84.9288150005914,
          84.70368086474107,
          84.47014351347154,
          84.22815428079318,
          83.97766239271942,
          83.71861490666272,
          83.45095664729205,
          83.17463013864825,
          82.88957553229746,
          82.59573053128489,
          82.29303030963332,
          81.98140742710841,
          81.66079173895187,
          81.33111030025796,
          80.99228726464189,
          80.64424377681966,
          80.28689785868602,
          79.920164288442,
          79.5439544722843,
          79.15817630812619,
          78.76273404077172,
          78.35752810791352,
          77.94245497626605,
          77.51740696708316,
          77.08227207023715,
          76.636933745959,
          76.18127071325124,
          75.71515672388827,
          75.23846032081066,
          74.75104457959823,
          74.25276683157195,
          73.7434783669223,
          73.22302411609114,
          72.69124230744224,
          72.14796409903897,
          71.59301318210298,
          71.02620535345068,
          70.44734805389007,
          69.85623986920285,
          69.25266998992923,
          68.63641762570737,
          68.00725136938556,
          67.36492850551323,
          66.70919425711057,
          66.03978096380204,
          65.3564071834556,
          64.6587767083724,
          63.94657748579394,
          63.21948043100024,
          62.47713811951767,
          61.7191833428923,
          60.94522751004245,
          60.15485887330886,
          59.347640554869436,
          58.52310834505427,
          57.68076823913137,
          56.82009367313247,
          55.94052241200417,
          55.04145303447527,
          54.12224094811418,
          53.18219385456584,
          52.220566568200276,
          51.23655507043611,
          50.22928965557835,
          49.19782699045451,
          48.14114086717339,
          47.05811137285004,
          45.94751212781308,
          44.80799514856613,
          43.638072764979206,
          42.43609585038284,
          41.200227390188445,
          39.928410092200835,
          38.61832628874167,
          37.26734773337083,
          35.87247195268238,
          34.43024041326816,
          32.93663163408078,
          31.386919049538307,
          29.77547808235006,
          28.35770091970281,
          26.87500495995997,
          25.588161981796762,
          24.24421678708426,
          23.07616029102884,
          21.858366341114156,
          20.798733107660837,
          19.695564476777676,
          18.734728325247907,
          17.735628555771918,
          16.864699693697876,
          15.960022703623167,
          15.170825709342564,
          14.351773774739325,
          13.636814599807003,
          12.895376298720498,
          12.247803501855353,
          11.57669343620104,
          10.99025707285282,
          10.382858574075062,
          9.8518690598951,
          9.302180715730426,
          8.821469316596158,
          8.324055965412535,
          7.888938198271116,
          7.438886982167538,
          7.045130041384078,
          6.638012151175139,
          6.281807396077824,
          5.913646202905645,
          5.591587541882871,
          5.258833689736072,
          4.9679018838543465,
          4.667415113800687,
          4.404965591099804,
          4.134000539180777,
          3.897746781630252,
          3.6539342274043247,
          3.441909947354226,
          3.2232158427799633,
          3.033693470355218,
          2.8383323868766586,
          2.669690512601537,
          2.495986200567545,
          2.34656495968802,
          2.1927988559819367,
          2.060820313185079,
          1.9251479351380323,
          1.8087449779948865,
          1.6892253783194477,
          1.5865429597708316,
          1.4812442200521956,
          1.3905434689117795,
          1.2976521706708453,
          1.2173768943708114,
          1.135268737581099,
          1.0640718036578,
          0.991339954927604,
          0.9280838730467764,
          0.8635396442561452,
          0.8072250690274145,
          0.7498428081916293,
          0.6995515825471429,
          0.6483915563444735,
          0.6035661590610971,
          0.5580368913555236,
          0.5183064692305154,
          0.47801378030024255,
          0.44327577176127847,
          0.4080986063890839,
          0.37879392123954353,
          0.3525784307457658,
          0.3306489118071545,
          0.30853929698603527,
          0.28577808430049895,
          0.2600131694313315,
          0.23216105374535467,
          0.20276663100014033,
          0.17216564660271402,
          0.14056592709975932,
          0.10808220777568812,
          0.07475230436892877,
          0.040554917906529014,
          0.005485075460629062,
          -0.030117625313080914,
          -0.06562798804894976,
          -0.09511640833486228,
          -0.12446326654549103,
          -0.1494183689765823,
          -0.17404108589322406,
          -0.19539900391349763,
          -0.2162764019486124,
          -0.23650488077353327,
          -0.2532013680108896,
          -0.26924873355699797,
          -0.28449519174750254,
          -0.29726482097142787,
          -0.3092228284773966,
          -0.32025918299049777,
          -0.3302752829496593,
          -0.3391739255003447,
          -0.3468628366544694,
          -0.3532586189655906,
          -0.3582908140602367,
          -0.36195754114194284,
          -0.3637436318657938,
          -0.3646510433644206,
          -0.3646657673002086,
          -0.36376242133474085,
          -0.3618261238890582,
          -0.3587443489942503,
          -0.35439732251060696,
          -0.3486407825156876,
          -0.34131040670727786,
          -0.3323185351439397,
          -0.321932220554502,
          -0.31046651175001205,
          -0.29804800614187626,
          -0.2847950910902405,
          -0.272357111619316,
          -0.25941207082367657,
          -0.24602371467982312,
          -0.23224944948666987,
          -0.2181406821218726,
          -0.20374324387435674,
          -0.1913015689105259,
          -0.1787030066927456,
          -0.16596773168001253,
          -0.15011575685399728,
          -0.1310841549589869,
          -0.10835083802590313,
          -0.08262876499485611,
          -0.0563050061028168,
          -0.029762299852714127,
          -0.002638206290344405,
          0.025348884371291014,
          0.05439714731327512,
          0.08466554472932779,
          0.11632154563859262,
          0.14953014855555075,
          0.1844254055873166,
          0.22114681682607887,
          0.25984059508615087,
          0.30066123752350865,
          0.34377265152672504,
          0.38934891591871723,
          0.4375746498792878,
          0.4886449038624145,
          0.5427644425536421,
          0.6001462648272505,
          0.661009215085215,
          0.7255746084594135,
          0.7940619464042049,
          0.8666840515558485,
          0.9436422706732788,
          1.0251226793307506,
          1.1112943057678362,
          1.202310121086312,
          1.2983109131248278,
          1.3994313904873779,
          1.505807302275516,
          1.6175822596198675,
          1.7349132893936294,
          1.8579746995388313,
          1.986960323409595,
          2.1220844952020377,
          2.263582189625042,
          2.411708709380297,
          2.5667392024077795,
          2.7289681885356836,
          2.898709194627974,
          3.0762945427971458,
          3.2620753034412866,
          3.4564214070722095,
          3.6597219011594695,
          3.8723853357796356,
          4.0948402623065245,
          4.327535831389212,
          4.570942478744819,
          4.825552689339697,
          5.091881832955052,
          5.3704690655202025,
          5.661878292190891,
          5.966699189300293,
          6.28554828320763,
          6.619070084760612,
          6.967938278671071,
          7.332856967648554,
          7.714561971167247,
          8.113822179322534,
          8.531440962179708,
          8.96825763503422,
          9.425148980547316,
          9.903030827984088,
          10.402859690230326,
          10.925634459186403,
          11.47239815970289,
          12.044239762346901,
          12.642296054933452,
          13.267753572472404,
          13.921850584832006,
          14.605879141586682,
          15.32118717216565,
          16.069180639995853,
          16.851325748203678,
          17.669151194389755,
          18.52425047103272,
          19.41828420870275,
          20.352982557623537,
          21.330147604010268,
          22.351655818108384,
          23.419460530246244,
          24.53559443549607,
          25.702172127664827,
          26.921392671767272,
          28.1955422306504,
          29.526996775408282,
          30.918224932364993,
          32.371791050277324,
          33.874922077133405,
          35.32689861246587,
          36.731721069127666,
          38.09282898346984,
          39.41320774106049,
          40.69547022400415,
          41.94192027404276,
          43.15460272251924,
          44.335343331148586,
          45.485781041827806,
          46.607394284732884,
          47.701522640170175,
          48.76938482693763,
          49.81209375688591,
          50.83066922467028,
          51.82604867503646,
          52.799096394902804,
          53.750611405331234,
          54.68133427314371,
          55.5919530191106,
          56.483108266193774,
          57.35539774500122,
          58.20938025272404,
          59.045579145140096,
          59.86448542784546,
          60.6665605020078,
          61.45223861108664,
          62.221929027717124,
          62.97601801398556,
          63.7148705833859,
          64.43883208863825,
          65.14822965611975,
          65.84337348477744,
          66.52455802496844,
          67.19206305061888,
          67.84615463635161,
          68.48708604974746,
          69.11509856763502,
          69.73042222421417,
          70.33327649788151,
          70.92387094281571,
          71.50240577068021,
          72.06907238719194,
          72.62405388777519,
          73.16752551605664,
          73.69965508855327,
          74.22060338854969,
          74.73052453184921,
          75.22956630680775,
          75.71787049081688,
          76.1955731451871,
          76.66280489019186,
          77.11969116186336,
          77.56635245197985,
          78.00290453255066,
          78.42945866598356,
          78.84612180201256,
          79.25299676236708,
          79.65018241407701,
          80.03777383223034,
          80.41586245292932,
          80.78453621712843,
          81.1438797059793,
          81.49397426825695,
          81.83489814039345,
          82.16672655960387,
          82.48953187054947,
          82.80338362594834,
          83.10834868151174,
          83.40449128555494,
          83.69187316360386,
          83.97055359829598,
          84.24058950484968,
          84.50203550235689,
          84.75494398113469,
          84.99936516635367,
          85.23534717814589,
          85.46293608837927,
          85.68217597427308,
          85.89310896901515,
          86.09577530953123,
          86.290213381545,
          86.47645976205804,
          86.65454925936962,
          86.82451495074702,
          86.98638821784996,
          87.14019878000455,
          87.28597472541537,
          87.42374254039778,
          87.55352713670655,
          87.67535187703068,
          87.78923859871938,
          87.89520763579863,
          87.99327783933342,
          88.08346659618526,
          88.16578984621141,
          88.24026209794704,
          88.30689644280824,
          88.36570456784996,
          88.4166967671085,
          88.45988195155617,
          88.49526765769085,
          88.52286005478078,
          88.54266395078139,
          88.55468279693804,
          88.55891869108484,
          88.5553723796479,
          88.5440432583571,
          88.52492937166797,
          88.49802741089289,
          88.46333271103664,
          88.42083924632952,
          88.37053962444739,
          88.31242507940523,
          88.24648546310792,
          88.17270923553819,
          88.09108345355924,
          88.0015937583046,
          87.90422436112672,
          87.79895802806953,
          87.68577606282842,
          87.56465828815594,
          87.43558302566834,
          87.29852707400245,
          87.15346568526957,
          87.00037253974644,
          86.83921971873971,
          86.66997767555382,
          86.49261520448749,
          86.30709940777687,
          86.11339566039791,
          85.91146757263247,
          85.70127695029662,
          85.4827837525201,
          85.25594604695856,
          85.02071996231012,
          84.77705963799907,
          84.52491717087683,
          84.2642425587814,
          83.99498364078175,
          83.71708603392139,
          83.4304930662606,
          83.13514570600039,
          82.83098248645506,
          82.51793942662009,
          82.19594994706347,
          81.86494478084452,
          81.52485187914148,
          81.17559631124159,
          80.81710015851887,
          80.44928240199312,
          80.07205880302793,
          79.68534177668815,
          79.2890402572343,
          78.8830595551853,
          78.46730120532926,
          78.04166280500586,
          77.60603784192041,
          77.16031551068103,
          76.70438051717235,
          76.23811286979429,
          75.76138765649821,
          75.27407480644692,
          74.77603883500586,
          74.26713857063955,
          73.74722686213893,
          73.21615026443693,
          72.67374870108182,
          72.11985510122517,
          71.55429500874148,
          70.97688616082453,
          70.38743803309792,
          69.78575134792624,
          69.1716175422141,
          68.5448181905246,
          67.90512437882526,
          67.25229602357003,
          66.58608113013531,
          65.90621498382951,
          65.21241926577275,
          64.50440108486984,
          63.781851915850346,
          63.044446431887316,
          62.2918412185926,
          61.523673354168785,
          60.73955883811212,
          59.93909084803251,
          59.12183780078525,
          58.28734119007712,
          57.43511316786216,
          56.564633830988654,
          55.67534816745375,
          54.76666260795139,
          53.837941117758646,
          52.88850075087007,
          51.91760657197019,
          50.92446583142428,
          49.90822125275755,
          48.86794325946034,
          47.802620926199104,
          46.71115138561175,
          45.59232735163605,
          44.44482232789106,
          43.26717294665765,
          42.057757718457324,
          40.814771246505195,
          39.536192648219746,
          38.21974648783009,
          36.86285389861291,
          35.46257066357351,
          34.0155076727683,
          32.51772712349415,
          30.964604630034092,
          29.35064227151959,
          27.92509479630622,
          26.4351846972148,
          25.143385029081,
          23.794771232602116,
          22.623815901727546,
          21.40346431827079,
          20.342658065412056,
          19.238693636446683,
          18.278129333320685,
          17.279703009498867,
          16.410254292345346,
          15.507475143975135,
          14.72076849524816,
          13.904634928836249,
          13.19301217842567,
          12.455344822505364,
          11.811821180213522,
          11.14519906208554,
          10.563420100320327,
          9.961121257136334,
          9.435321244242699,
          8.891268656134631,
          8.416232037350548,
          7.924945650682621,
          7.495973073938055,
          7.052528595619669,
          6.6654084132520985,
          6.265403276737597,
          5.916388428769404,
          5.555914383863092,
          5.241702094279269,
          4.917321354666751,
          4.635027987388124,
          4.343744616097951,
          4.090860413315708,
          3.830070803473589,
          3.6043746094484654,
          3.371776407779209,
          3.1712032303596587,
          2.9646557030401595,
          2.787149525384224,
          2.6045194791968473,
          2.4479408352670893,
          2.287006109442089,
          2.1491429774839994,
          2.0076034603460973,
          1.8862629597076404,
          1.7618359028611703,
          1.6549517222516037,
          1.545484112380976,
          1.4511922529637333,
          1.3547406538348319,
          1.2714133247263881,
          1.1862799562145827,
          1.11252889029382,
          1.0372652718477802,
          0.9719297401183724,
          0.9053237120231621,
          0.8472459378534546,
          0.788136336599841,
          0.7365440428221467,
          0.6841137811273892,
          0.6384594215535232,
          0.5921308533887686,
          0.5520874472996289,
          0.5115102439768108,
          0.47709501245804425,
          0.44226789285657975,
          0.4143510083627546,
          0.3905940241689013,
          0.36664208533648995,
          0.34255912064929034,
          0.31624154743904903,
          0.2878715196341157,
          0.25807271055379527,
          0.22726337958242757,
          0.19573624274534296,
          0.16370272010433967,
          0.131316184982408,
          0.09868497168408735,
          0.06587992187995693,
          0.03293933606751642,
          -0.00012484455942577124,
          -0.03330897328595139,
          -0.066552569745889,
          -0.09961225027603848,
          -0.13235247756898402,
          -0.15926522351714487,
          -0.18582444848513627,
          -0.20792442797546928,
          -0.22951176064959483,
          -0.2477252922978227,
          -0.26530042207029325,
          -0.2802306380052853,
          -0.2944258338753492,
          -0.3077320896890127,
          -0.3183924566050604,
          -0.32821329645464015,
          -0.33707751572012945,
          -0.3448841205497375,
          -0.35081140867834787,
          -0.35577067606410123,
          -0.35969917823704434,
          -0.3625411432352685,
          -0.3642499490716501,
          -0.364789665670479,
          -0.3639915199732656,
          -0.36248298880102203,
          -0.36019710984421544,
          -0.3571178198184739,
          -0.3530862290380328,
          -0.348060886523496,
          -0.34198824722949134,
          -0.33478782158123677,
          -0.32633860655738806,
          -0.3164572475950412,
          -0.3048823903966872,
          -0.2914381242158132,
          -0.27684439776693265,
          -0.26299786563607674,
          -0.24855855986196523,
          -0.23360342330130604,
          -0.2182025085645601,
          -0.20453136627609533,
          -0.1906096427122779,
          -0.17849579250964584,
          -0.1662416586634821,
          -0.15386479198796102,
          -0.13964585436806176,
          -0.123155011714913,
          -0.10431518168626253,
          -0.08284304337942673,
          -0.058408542300254836,
          -0.03119616751311635,
          -0.0024343206830647343,
          0.026990564636608844,
          0.0570575102593721,
          0.0879810026071276,
          0.11997028443311343,
          0.15326707216358765,
          0.1880352372067082,
          0.22443176178440719,
          0.2626133997975557,
          0.30274045659322685,
          0.34497932704380996,
          0.3895041753006509,
          0.43649791834986634,
          0.4861525237481941,
          0.538668530052954,
          0.5942536337792385,
          0.6531201691695688,
          0.7154813653300981,
          0.7815464395858089,
          0.8515149035582038,
          0.9255708908693239,
          1.0038787240669045,
          1.0865810734885175,
          1.1738006775520582,
          1.2656456783409782,
          1.3622175347566603,
          1.4636197644111169,
          1.5699657830448506,
          1.681384739549557,
          1.7980250587639188,
          1.9200560159200333,
          2.04766793812373,
          2.181071626781197,
          2.3204974585311575,
          2.4661944596215535,
          2.618429514683223,
          2.777486779506332,
          2.943667313655893,
          3.1172889208555374,
          3.298686173833717,
          3.488210597384975,
          3.686230985416699,
          3.89313383096086,
          4.109323852225423,
          4.335224601175529,
          4.571279144351045,
          4.8179508080568345,
          5.075723982258083,
          5.345104978929291,
          5.626622941996476,
          5.920830806906365,
          6.228306308508167,
          6.549653036659496,
          6.885501539290576,
          7.236510472874362,
          7.603367800635874,
          7.98679203884219,
          8.387533551753659,
          8.806375895623017,
          9.244137212341126,
          9.701671673341147,
          10.179870973603055,
          10.679665876779248,
          11.202027810816805,
          11.74797051425642,
          12.318551732670572,
          12.914874964799834,
          13.538091256577065,
          14.189401042428006,
          14.870056031051494,
          15.581361133454173,
          16.324676430127656,
          17.1014191730789,
          17.91306581826684,
          18.76115408303556,
          19.647285021905503,
          20.573125113634894,
          21.540408351491433,
          22.550938327686644,
          23.60659030361246,
          24.709313255707574,
          25.861131889971183,
          27.06414861880324,
          28.320545499236534,
          29.632586139432018,
          31.002617594264752,
          32.4330722917781,
          33.92647006917168,
          35.38566906311707,
          36.79620216278596,
          38.16170760899205,
          39.48533414225929,
          40.7698305248012,
          42.017614807946174,
          43.230828715342646,
          44.41138089961754,
          45.5609817532671,
          46.68117171981933,
          47.773344540248296,
          48.838766507900054,
          49.87859254509202,
          50.89387972480554,
          51.88559872063628,
          52.85464356322739,
          53.80184000200928,
          54.72795271036855,
          55.63369152551412,
          56.5197168778174,
          57.386644535746306,
          58.23504976983036,
          59.065471021010026,
          59.87841314420574,
          60.674350286211094,
          61.45372844747944,
          62.216967769575845,
          62.96446458365674,
          63.69659325004366,
          64.41370781455828,
          65.1161435036183,
          65.80421807701778,
          66.47823305472949,
          67.13847483188042,
          67.78521569419811,
          68.41871474464736,
          69.0392187506293,
          69.646962919959,
          70.24217161284493,
          70.82505899623706,
          71.39582964616848,
          71.95467910307327,
          72.50179438450402,
          73.037354459184,
          73.56153068590353,
          74.07448722039504,
          74.57638139299392,
          75.06736405960254,
          75.54757992821914,
          76.0171678630687,
          76.4762611681714,
          76.92498785200758,
          77.36347087477978,
          77.79182837963138,
          78.21017390905558,
          78.61861660761606,
          79.01726141199936,
          79.40620922932912,
          79.78555710459041,
          80.15539837793885,
          80.51582283260423,
          80.866916834037,
          81.20876346089359,
          81.54144262840629,
          81.86503120464008,
          82.17960312009748,
          82.48522947109707,
          82.78197861731643,
          83.06991627386122,
          83.34910559819332,
          83.61960727222605,
          83.88147957987107,
          84.13477848030003,
          84.37955767716493,
          84.61586868400262,
          84.84376088603265,
          85.06328159854279,
          85.27447612204101,
          85.47738779434229,
          85.67205803974376,
          85.85852641543265,
          86.03683065526047,
          86.20700671100711,
          86.36908879124994,
          86.52310939794485,
          86.66909936081792,
          86.80708786965997,
          86.93710250460856,
          87.05916926449679,
          87.17331259334145,
          87.27955540503767,
          87.37791910632254,
          87.46842361806453,
          87.55108739493114,
          87.62592744348265,
          87.69295933873605,
          87.75219723923851,
          87.80365390068619,
          87.84734068812108,
          87.88326758673377,
          87.91144321129771,
          87.9318748142569,
          87.94456829248523,
          87.94952819273335,
          87.94675771577512,
          87.93625871926326,
          87.91803171930029,
          87.89207589072842,
          87.85838906613856,
          87.81696773359612,
          87.76780703307794,
          87.71090075161224,
          87.64624131710939,
          87.57381979086973,
          87.49362585875039,
          87.40564782096976,
          87.30987258052626,
          87.206285630203,
          87.09487103812758,
          86.97561143185209,
          86.84848798091458,
          86.7134803778394,
          86.57056681752958,
          86.41972397500004,
          86.26092698139554,
          86.09414939823274,
          85.91936318980038,
          85.73653869364585,
          85.54564458907107,
          85.34664786355391,
          85.13951377700475,
          84.92420582376108,
          84.70068569221475,
          84.4689132219589,
          84.22884635833252,
          83.98044110423112,
          83.7236514690416,
          83.45842941454937,
          83.18472479765236,
          82.90248530970514,
          82.61165641230153,
          82.31218126928964,
          82.00400067479622,
          81.68705297702009,
          81.36127399753458,
          81.02659694581791,
          80.68295232870733,
          80.33026785444798,
          79.96846833097923,
          79.59747555807178,
          79.21720821289517,
          78.82758172855938,
          78.42850816513376,
          78.01989607260319,
          77.60165034517183,
          77.1736720662725,
          76.735858343579,
          76.28810213325434,
          75.830292052594,
          75.36231218014325,
          74.88404184227666,
          74.39535538512877,
          73.8961219306515,
          73.38620511545003,
          72.86546281090735,
          72.33374682295134,
          71.79090256964022,
          71.23676873454333,
          70.67117689366901,
          70.09395111343618,
          69.50490751689794,
          68.9038538150973,
          68.29058880006113,
          67.66490179551248,
          67.02657206089297,
          66.37536814372696,
          65.71104717471529,
          65.03335409920301,
          64.34202083780637,
          63.63676536798627,
          62.91729071719481,
          62.18328385686597,
          61.43441448493246,
          60.67033368268303,
          59.89067242957003,
          59.09503995696416,
          58.283021918746314,
          57.45417835291231,
          56.60804140391068,
          55.74411277005918,
          54.86186083387385,
          53.96071742521063,
          53.040074157401385,
          52.099278264590936,
          51.1376278536348,
          50.154366465386545,
          49.14867681691453,
          48.11967356669748,
          47.06639490720702,
          45.987792740829946,
          44.88272113212977,
          43.749922646854884,
          42.58801207857935,
          41.39545691695844,
          40.17055371206119,
          38.911399214551075,
          37.61585478764399,
          36.2815020415748,
          34.9055868528388,
          33.484947767161444,
          32.01592303001397,
          30.494227773144175,
          28.914788563540267,
          27.479617041154214,
          25.98179455617855,
          24.684974644678913,
          23.331218478238245,
          22.15733666470413,
          20.934087989242155,
          19.872140009445076,
          18.767170484362527,
          17.806981895178684,
          16.80914714985629,
          15.941366480839347,
          15.040530759820212,
          14.25659830014534,
          13.443560108820726,
          12.735668207068514,
          12.002089536211756,
          11.363139730950785,
          10.701480411767555,
          10.125040989292136,
          9.528499324739833,
          9.00876576044638,
          8.471226249857343,
          8.002985982111573,
          7.518974436756935,
          7.0975759651177155,
          6.662221118018414,
          6.283544652811199,
          5.892542679088738,
          5.552964578711787,
          5.202537889385783,
          4.898874360204519,
          4.585709201438158,
          4.315121527900174,
          4.036265970506676,
          3.796122153316021,
          3.54883963720126,
          3.336563005953307,
          3.118173704644432,
          2.9311430075139002,
          2.7389197573567334,
          2.5744694179141936,
          2.4056379525661633,
          2.2611432010346086,
          2.112970553391532,
          1.9859566264134403,
          1.85586489957548,
          1.7440893993757274,
          1.6297420325710208,
          1.5312346346610337,
          1.4305782783622054,
          1.3436461541356823,
          1.2549164566135886,
          1.1781305054593216,
          1.0998373700027966,
          1.03188144755156,
          0.9626867654074938,
          0.9024765200273541,
          0.8412595785495939,
          0.7880631216218329,
          0.7340526675432495,
          0.6873483230683692,
          0.6399939597950443,
          0.5995406095714819,
          0.5585780117849535,
          0.5246567226311533,
          0.49421879873151525,
          0.4682245744763618,
          0.44201651928943014,
          0.4156645471421961,
          0.38772079730256315,
          0.35765655856540307,
          0.3261602378908325,
          0.2937104589202932,
          0.26065017085384173,
          0.22723628114822927,
          0.19362460146943303,
          0.15982613843558136,
          0.12585605373898648,
          0.09173485399356522,
          0.05748995068227396,
          0.023157718974491356,
          -0.011213766684911943,
          -0.04556107365144259,
          -0.07980048697721628,
          -0.1103852518577481,
          -0.1406893262973797,
          -0.17057757950049773,
          -0.19696662930466896,
          -0.22276512392680356,
          -0.2437997628627356,
          -0.2641813122984376,
          -0.28074177109184784,
          -0.2965500496744704,
          -0.3094988198145321,
          -0.32162066774165704,
          -0.3315456192891836,
          -0.340593883301483,
          -0.3486314840442108,
          -0.3546747056461728,
          -0.3597973281052093,
          -0.3639082755832131,
          -0.3669269244544087,
          -0.36863052140487773,
          -0.36936276300072607,
          -0.3690811637341543,
          -0.36775145672585596,
          -0.3653492601364052,
          -0.36167073084630497,
          -0.3579778088227043,
          -0.35351071368163717,
          -0.34832076302086107,
          -0.3424252579431073,
          -0.3357134797020114,
          -0.3281054701663757,
          -0.31955427959810095,
          -0.3099796715387551,
          -0.2992534375197174,
          -0.2871703680460077,
          -0.27339177462202957,
          -0.2574336606826001,
          -0.23986910711165224,
          -0.22442388966803342,
          -0.2085329540669615,
          -0.19419849429322825,
          -0.17960453529412498,
          -0.16736134860604246,
          -0.15498336873787075,
          -0.14248754880744666,
          -0.12868001273997515,
          -0.11295378410344557,
          -0.09538590155727297,
          -0.07589044038191341,
          -0.054279413817683475,
          -0.030296874755428596,
          -0.003735312923734414,
          0.025251970652533238,
          0.05595510309524978,
          0.0877056495831887,
          0.12033048183496033,
          0.1539656822552232,
          0.1888204000489811,
          0.2250731419789196,
          0.26289801665219875,
          0.30246724555459015,
          0.34395462667397886,
          0.3875382487422745,
          0.43340233362355923,
          0.4817381705684761,
          0.5327440619606303,
          0.586624120087333,
          0.6435857081220174,
          0.7038353587413401,
          0.76757319414256,
          0.8349862672061575,
          0.9062418284001829,
          0.9814821153470232,
          1.0608224850767116,
          1.1443541651795024,
          1.2321515563114809,
          1.3242824619249145,
          1.420818742030308,
          1.5218451516000857,
          1.627465202555503,
          1.737804045697815,
          1.8530090809035438,
          1.9732491923602271,
          2.0987133634361084,
          2.229609174953429,
          2.366161463275608,
          2.508611256217433,
          2.6572150121572,
          2.812244141701356,
          2.9739847734873366,
          3.1427377227156925,
          3.3188186249651017,
          3.5025582038950267,
          3.6943026479486827,
          3.894414076834031,
          4.103271083239806,
          4.321269338996926,
          4.548822257812732,
          4.786361708845005,
          5.034338777226207,
          5.293224568630046,
          5.563511056217212,
          5.845711968704129,
          6.140363719086776,
          6.448026373768714,
          6.76928466210696,
          7.104749026681104,
          7.455056714627427,
          7.820872910501034,
          8.202891911152335,
          8.601838342988186,
          9.018468422120538,
          9.453571257679414,
          9.90797019841021,
          10.382524222631185,
          10.878129371369191,
          11.395720224205183,
          11.93627141707217,
          12.500799201092526,
          13.0903630406629,
          13.706067249110196,
          14.349062659265876,
          15.020548325777057,
          15.721773255292055,
          16.454038159854075,
          17.218697227921712,
          18.017159905807596,
          18.850892682473564,
          19.721420867735812,
          20.630330353477767,
          21.57926934559448,
          22.569950053349206,
          23.60415032003289,
          24.683715179026525,
          25.81055831717106,
          26.98666342697539,
          28.21408543172344,
          29.494951568535196,
          30.831462322691117,
          32.225892218220196,
          33.680590492291756,
          35.12159012335317,
          36.513473799783775,
          37.85997619146514,
          39.16432331729834,
          40.42932658624183,
          41.65745535094196,
          42.850893723110225,
          44.011585658720854,
          45.14127116306519,
          46.2415156784211,
          47.31373417126792,
          48.35921105079051,
          49.379116774193115,
          50.37452179333969,
          51.34640834900117,
          52.29568050831196,
          53.22317275746397,
          54.129657397890746,
          55.01585094505269,
          55.88241969072388,
          56.72998455971895,
          57.55912536831729,
          58.370384572787145,
          59.16427058129472,
          59.94126069028339,
          60.70180369650201,
          61.4463222277705,
          62.175214828926414,
          62.8888578339114,
          63.587607050405765,
          64.27179927962707,
          64.94175369073308,
          65.59777306659946,
          66.24014493548945,
          66.86914260122192,
          67.4850260828202,
          68.08804297323701,
          68.6784292255632,
          69.25640987410709,
          69.82219969685185,
          70.37600382503773,
          70.91801830495618,
          71.44843061647046,
          71.96742015227665,
          72.47515866148316,
          72.9718106607037,
          73.45753381552251,
          73.93247929489611,
          74.39679210079291,
          74.85061137514376,
          75.29407068597033,
          75.72729829437777,
          76.15041740393713,
          76.56354639383804,
          76.9667990370657,
          77.36028470473974,
          77.74410855765105,
          78.11837172593994,
          78.48317147777603,
          78.83860137782622,
          79.18475143622886,
          79.52170824873323,
          79.84955512860617,
          80.16837223086058,
          80.47823666931326,
          80.77922262693993,
          81.07140145995758,
          81.3548417960305,
          81.62960962696543,
          81.89576839623318,
          82.15337908162789,
          82.40250027335233,
          82.64318824779504,
          82.87549703724613,
          83.0994784957797,
          83.31518236151473,
          83.5226563154501,
          83.72194603705624,
          83.91309525679122,
          84.0961458056991,
          84.27113766223486,
          84.43810899645167,
          84.59709621167521,
          84.74813398378237,
          84.89125529819133,
          85.02649148466385,
          85.15387225001304,
          85.27342570880224,
          85.38517841211541,
          85.48915537447267,
          85.58538009895986,
          85.67387460063424,
          85.75465942826557,
          85.82775368446526,
          85.89317504425283,
          85.95093977210436,
          86.00106273752368,
          86.04355742917319,
          86.07843596759751,
          86.1057091165696,
          86.12538629308551,
          86.1374755760308,
          86.14198371353848,
          86.13891612905492,
          86.12827692612723,
          86.1100688919233,
          86.08429349949131,
          86.05095090876402,
          86.01003996630955,
          85.96155820382768,
          85.90550183538747,
          85.8418657533995,
          85.77064352331325,
          85.69182737702621,
          85.6054082049895,
          85.51137554699051,
          85.4097175815911,
          85.3004211141953,
          85.18347156371797,
          85.05885294782242,
          84.92654786669006,
          84.78653748528333,
          84.63880151405733,
          84.48331818807186,
          84.3200642444524,
          84.14901489814149,
          83.97014381587931,
          83.78342308834557,
          83.5888232003897,
          83.38631299927057,
          83.17585966082044,
          82.9574286534406,
          82.73098369982995,
          82.49648673633914,
          82.25389786983447,
          82.0031753319481,
          81.7442754305792,
          81.47715249850252,
          81.20175883892807,
          80.91804466784421,
          80.62595805296276,
          80.32544484907123,
          80.0164486295807,
          79.69891061404208,
          79.37276959138427,
          79.03796183860868,
          78.69442103465185,
          78.34207816910478,
          77.98086144545137,
          77.61069617845975,
          77.23150468532931,
          76.84320617016151,
          76.44571660128557,
          76.03894858092782,
          75.62281120666842,
          75.19720992407787,
          74.76204636987134,
          74.31721820485512,
          73.8626189358726,
          73.39813772588028,
          72.92365919119983,
          72.4390631848983,
          71.94422456514256,
          71.43901294725735,
          70.92329243808403,
          70.39692135109007,
          69.85975190051217,
          69.31162987263009,
          68.75239427205673,
          68.18187694069171,
          67.59990214671471,
          67.00628614068958,
          66.40083667549864,
          65.78335248642995,
          65.15362272728355,
          64.51142635784018,
          63.856531477435,
          63.18869459868678,
          62.507659854630845,
          61.81315813157723,
          61.104906118933776,
          60.3826052659746,
          59.645940634057894,
          58.89457963106372,
          58.12817061277728,
          57.346341333521956,
          56.548697225469795,
          55.734819482621624,
          54.904262921330336,
          54.056553584280536,
          53.191186048831426,
          52.30762039332077,
          51.405278765987184,
          50.48354149016095,
          49.5417426257481,
          48.579164890047736,
          47.59503381962737,
          46.58851102803201,
          45.55868637976167,
          44.50456885682014,
          43.4250758369107,
          42.319020427419076,
          41.185096400172576,
          40.02186013926961,
          38.827708834499845,
          37.60085390603257,
          36.339288302126185,
          35.04074582466712,
          33.70264993559011,
          32.322048465841746,
          30.895529099124747,
          29.41910811705202,
          27.88808111566057,
          26.47003643873536,
          24.991704443401048,
          23.713741329770382,
          22.379848964771647,
          21.22491503427226,
          20.021621401632995,
          18.978574821150392,
          17.89349942751839,
          16.95206969889544,
          15.973966904919228,
          15.124747036019608,
          14.243424730127552,
          13.477837974415444,
          12.684080079199095,
          11.994340307365713,
          11.27983547476258,
          10.658906226873432,
          10.016183790815724,
          9.457738722769315,
          8.880111972183165,
          8.37849681468334,
          7.860011813632902,
          7.410204135839985,
          6.945588870149845,
          6.543146311736436,
          6.12774947774185,
          5.768731317731525,
          5.398434480374273,
          5.079282299828405,
          4.750370665530206,
          4.467752449986304,
          4.176749334977816,
          3.927407569142475,
          3.6709150582409724,
          3.4515823459866826,
          3.226193483331109,
          3.0336110929218143,
          2.8359291828378814,
          2.666941733741285,
          2.493678510966939,
          2.3453433873687883,
          2.193432613208821,
          2.0630980111154926,
          1.9297767510989237,
          1.8151159553318894,
          1.6979603575084954,
          1.5969716621289525,
          1.4938967064806756,
          1.404884179636107,
          1.314123062727125,
          1.2355481904075913,
          1.1555324519186374,
          1.086076627888076,
          1.0154490410538666,
          0.9542150441029688,
          0.8920317549015799,
          0.8383492141403919,
          0.7839061139485121,
          0.7373905750987286,
          0.6902758468774662,
          0.651024992585544,
          0.6154711465370298,
          0.5843213354892189,
          0.5594304653151221,
          0.5343340827208184,
          0.5061207746074547,
          0.474696682978197,
          0.4412109643715628,
          0.4063864243511802,
          0.37071729175161755,
          0.3345651803346325,
          0.2981810199292367,
          0.26156910489239377,
          0.22473624324155014,
          0.18769249419781323,
          0.15045213611677236,
          0.11303494666259763,
          0.07959946182574323,
          0.04607036922377528,
          0.012480593846435363,
          -0.021127017461022676,
          -0.05469667429823812,
          -0.08439704768777942,
          -0.11394502169438116,
          -0.14325709701762623,
          -0.17222634391871605,
          -0.20071516840961567,
          -0.22854563392821567,
          -0.2519088351202079,
          -0.2744491002498089,
          -0.2926378130090814,
          -0.30995080059374436,
          -0.32344746690028914,
          -0.3360292910800549,
          -0.34586031696581815,
          -0.3547416293427316,
          -0.36159677342805463,
          -0.3674895375701783,
          -0.37183936593136574,
          -0.3752276178754778,
          -0.3775564426084929,
          -0.3786552335085208,
          -0.37880676768517924,
          -0.3779521634860095,
          -0.3760390673730509,
          -0.3730224828422661,
          -0.3688669853517779,
          -0.36354876921908674,
          -0.35705732568500187,
          -0.3501701986394194,
          -0.3443163970664912,
          -0.3379283286100906,
          -0.33084049107338376,
          -0.3228939241051525,
          -0.3141347180318889,
          -0.3045569239577674,
          -0.294113940800022,
          -0.282720935351625,
          -0.2702428938552848,
          -0.25646199319043333,
          -0.24099622459904696,
          -0.2231264037874805,
          -0.20548983914473837,
          -0.18941275294759727,
          -0.17300832609426295,
          -0.15989926384563757,
          -0.14878891165193375,
          -0.1375853052184445,
          -0.12440115573812893,
          -0.10939990598689549,
          -0.0928082892002758,
          -0.0746743651605018,
          -0.054945333677078274,
          -0.03349471890135736,
          -0.010137338124747677,
          0.015345126039463973,
          0.043130320898716525,
          0.07319295948414052,
          0.10516675423693887,
          0.13854859399624855,
          0.17309066980570595,
          0.20881623988404946,
          0.2458487936942034,
          0.28435061281144103,
          0.324496125154757,
          0.36646522810314197,
          0.41044253736676967,
          0.45661787907675166,
          0.5051866093058373,
          0.5563490197478782,
          0.6103083707964854,
          0.6672671985762159,
          0.7274217105699501,
          0.7909544728106807,
          0.858026282424823,
          0.928769005455905,
          1.0032818049046475,
          1.0816329112492071,
          1.163867514950297,
          1.2500200587804446,
          1.3401275743574947,
          1.434240784297725,
          1.5324311981600782,
          1.6347941868330769,
          1.7414490942112084,
          1.8525376836696805,
          1.9682219544796844,
          2.088681967615092,
          2.214113991988485,
          2.3447290726029237,
          2.4807520123522098,
          2.6224207132267225,
          2.769985811186424,
          2.923710543477382,
          3.0838707971880464,
          3.250755298852451,
          3.424665914384405,
          3.6059180367416275,
          3.7948410445253113,
          3.9917788196499657,
          4.197090315453386,
          4.411150169102104,
          4.634349354351079,
          4.867095871531498,
          5.109815473121873,
          5.36295242374666,
          5.626970293881349,
          5.902352787222352,
          6.189604601624376,
          6.489252323801684,
          6.801845358272018,
          7.127956890772953,
          7.468184886798444,
          7.823153125310867,
          8.193512268484486,
          8.579940967337745,
          8.983147003756583,
          9.403868468705511,
          9.842874976788439,
          10.30096891658055,
          10.778986736393875,
          11.277800264385862,
          11.798318062014268,
          12.341486809023865,
          12.908292718112776,
          13.49976297650459,
          14.116967211084376,
          14.761018973479631,
          15.433077239804142,
          16.13434791959088,
          16.86608536680671,
          17.629593884999757,
          18.426229216700115,
          19.257400005921326,
          20.12456922056471,
          21.029255519481627,
          21.973034546543506,
          22.9575401315692,
          23.984465375127968,
          25.05556359169646,
          26.172649081980364,
          27.337597703667985,
          28.55234720713643,
          29.818897302799105,
          31.139309428521067,
          32.515706192498406,
          33.93538880827081,
          35.30481489964818,
          36.62796138921836,
          37.90824594537468,
          39.14863347503793,
          40.351717607981406,
          41.519784038250265,
          42.65486045793725,
          43.75875641830997,
          44.83309551132434,
          45.879341617666356,
          46.898820514870096,
          47.89273781703312,
          48.86219398499028,
          49.80819697534931,
          50.73167297029376,
          51.63347553507316,
          52.51439347799297,
          53.37515763242423,
          54.21644673755333,
          55.03889256117369,
          55.843084381512064,
          56.62957292421452,
          57.39887383394162,
          58.15147074661248,
          58.88781801748092,
          59.608343151386386,
          60.313448974282984,
          61.00351557919,
          61.67890207477451,
          62.33994816067549,
          62.98697555025422,
          63.62028925858017,
          64.24017877104232,
          64.84691910592716,
          65.44077178256593,
          66.02198570517403,
          66.59079797123744,
          67.1474346122162,
          67.69211127339895,
          68.22503383893651,
          68.74639900738396,
          69.2563948224732,
          69.75520116331235,
          70.2429901977448,
          70.7199268022004,
          71.18616895101547,
          71.6418680778895,
          72.08716941187129,
          72.52221229002569,
          72.94713044871874,
          73.36205229526911,
          73.76710116154413,
          74.16239554093113,
          74.54804930997753,
          74.9241719358777,
          75.290868670874,
          75.6482407345458,
          75.99638548487276,
          76.3353965788834,
          76.6653641236269,
          76.98637481814606,
          77.29851208707186,
          77.60185620640694,
          77.89648442202098,
          78.18247106133757,
          78.45988763865323,
          78.72880295449606,
          78.98928318939674,
          79.24139199241971,
          79.48519056477075,
          79.7207377387778,
          79.94809005251662,
          80.16730182033292,
          80.37842519949521,
          80.58151025319367,
          80.77660501008648,
          80.96375552057896,
          81.14300591000745,
          81.31439842888877,
          81.47797350038377,
          81.63376976511196,
          81.78182412344671,
          81.92217177540911,
          82.05484625827125,
          82.1798794819713,
          82.29730176243592,
          82.40714185289836,
          82.50942697329357,
          82.60418283780697,
          82.6914336806467,
          82.77120228010425,
          82.84350998096332,
          82.90837671531261,
          82.96582102181233,
          83.01586006346156,
          83.05850964390898,
          83.09378422234481,
          83.12169692700995,
          83.14225956735248,
          83.1554826448605,
          83.16137536259608,
          83.15994563345085,
          83.15120008714347,
          83.13514407597239,
          83.11178167933878,
          83.0811157070478,
          83.04314770139545,
          82.99787793804578,
          82.9453054256987,
          82.88542790454848,
          82.81824184352654,
          82.74374243632339,
          82.66192359617921,
          82.57277794942952,
          82.47629682779133,
          82.3724702593705,
          82.26128695836798,
          82.14273431346062,
          82.0167983748283,
          81.88346383979446,
          81.742714037046,
          81.59453090939259,
          81.43889499502268,
          81.27578540720909,
          81.10517981241253,
          80.92705440672782,
          80.74138389061014,
          80.5481414418175,
          80.34729868649602,
          80.13882566833209,
          79.92269081568774,
          79.69886090662753,
          79.46730103174221,
          79.22797455466213,
          78.98084307014848,
          78.72586635964065,
          78.4630023441269,
          78.19220703419883,
          77.91343447713531,
          77.62663670085234,
          77.33176365454071,
          77.02876314579994,
          76.71758077406184,
          76.39815986008033,
          76.0704413712456,
          75.73436384246182,
          75.38986329230575,
          75.03687313415939,
          74.67532408198649,
          74.3051440503912,
          73.92625804856893,
          73.5385880677249,
          73.14205296149746,
          72.73656831888485,
          72.32204632912442,
          71.89839563792906,
          71.46552119442381,
          71.02332408807037,
          70.57170137479493,
          70.11054589146046,
          69.6397460577421,
          69.15918566436774,
          68.66874364658217,
          68.16829384157867,
          67.6577047285051,
          67.13683914951028,
          66.60555401012566,
          66.06369995709329,
          65.51112103153969,
          64.94765429515503,
          64.37312942676847,
          63.78736828639911,
          63.19018444351564,
          62.581382665833644,
          61.96075836452093,
          61.32809699115824,
          60.68317338119094,
          60.02575103791261,
          59.35558135020854,
          58.6724027363478,
          57.97593970501724,
          57.26590182350986,
          56.541982581479054,
          55.80385813690384,
          55.05118592882233,
          54.28360313891557,
          53.50072498107573,
          52.70214279456656,
          51.887421912147786,
          51.05609926941904,
          50.20768071543402,
          49.34163797706256,
          48.4574052202902,
          47.55437514018287,
          46.63189449700563,
          45.689258998186844,
          44.725707403400904,
          43.74041470160538,
          42.7324841724782,
          41.70093809775285,
          40.6447068267858,
          39.56261582022011,
          38.45337018856425,
          37.315536098434315,
          36.147518222792215,
          34.94753213997788,
          33.713570205149544,
          32.44335887355198,
          31.134304663509806,
          29.783424771677996,
          28.38725656681247,
          26.941737401750885,
          25.442041705291853,
          24.11154959569761,
          22.72297537309639,
          21.52410830311366,
          20.27377682174501,
          19.1928225269578,
          18.067441654150304,
          17.093583991173038,
          16.081206461091472,
          15.204553094271802,
          14.294392612413752,
          13.505953565765871,
          12.688302391438842,
          11.979954495083215,
          11.246107765272233,
          10.61055353892153,
          9.95273898843414,
          9.383458778630512,
          8.794766755190915,
          8.28595671351616,
          7.7602602339391735,
          7.306742943974778,
          6.83859255105671,
          6.435687524523481,
          6.020167119229,
          5.663524400968747,
          5.296071684692402,
          4.981504616762712,
          4.6577338771335555,
          4.381112265720079,
          4.096702350824624,
          3.853948694291818,
          3.6046388013328436,
          3.3918126775215445,
          3.173489379977937,
          2.98690193315815,
          2.7957172558591337,
          2.632022251817785,
          2.4644875965452737,
          2.320727321724268,
          2.17376066343865,
          2.0473713682470343,
          1.9183023475733478,
          1.80709419836474,
          1.69364246427173,
          1.595768613506868,
          1.496010482757209,
          1.409615752258522,
          1.3216941528657826,
          1.2455476496328768,
          1.1681584016523645,
          1.101299027888174,
          1.0334362610412078,
          0.9751841735369389,
          0.9161322295145622,
          0.866193137123933,
          0.8156290902429014,
          0.7744926552881236,
          0.7381903095216067,
          0.708577599349631,
          0.6787176920606751,
          0.6468486116864108,
          0.6112670678627604,
          0.5733158215532295,
          0.5338516622951209,
          0.49345908652021986,
          0.4525653719529171,
          0.41139391425271543,
          0.36994508681430194,
          0.32822109235299907,
          0.28622654232614086,
          0.24396922356060616,
          0.2060695778449977,
          0.167982559877167,
          0.12972489962064646,
          0.09131924932706359,
          0.057152313525932,
          0.022920579982868578,
          -0.011339936948860617,
          -0.045582625215880294,
          -0.07556810336229229,
          -0.10544122003007535,
          -0.13513565735248917,
          -0.16456689128969537,
          -0.19027009413686902,
          -0.2155885517505006,
          -0.2404024556298188,
          -0.26455973369309105,
          -0.2878661067949147,
          -0.30744177852601395,
          -0.3259558763909836,
          -0.34084873612584843,
          -0.35460140322423384,
          -0.36474474126424683,
          -0.37378930691749873,
          -0.3803271086898801,
          -0.38578453846460586,
          -0.38948568985849896,
          -0.39213726808842714,
          -0.39350365732081094,
          -0.3938580509915956,
          -0.39310776321170526,
          -0.3915017516170949,
          -0.3889446927170826,
          -0.385384816551511,
          -0.3807740028189446,
          -0.3757629644612619,
          -0.3698666749704432,
          -0.36307013183659653,
          -0.35536566126001096,
          -0.34647105572352327,
          -0.33750314091954536,
          -0.3305040304916965,
          -0.32310189095949515,
          -0.31497994716578864,
          -0.3059348078662495,
          -0.29609181897752257,
          -0.2854856869034064,
          -0.274095021582296,
          -0.261858741093708,
          -0.24867466795258417,
          -0.23438198386876063,
          -0.21871011358459772,
          -0.2011196957854572,
          -0.1803428444322037,
          -0.16390085567623963,
          -0.14998257163285206,
          -0.137490788591829,
          -0.12489187123138153,
          -0.11047441562335629,
          -0.09450904091835859,
          -0.07721197320199259,
          -0.058639337147213255,
          -0.038758981400682235,
          -0.017478990551271122,
          0.005339651874613127,
          0.029874060001507895,
          0.05632265384683011,
          0.08486262483414511,
          0.11556250137074449,
          0.1482818265801936,
          0.1827125379886069,
          0.21860254651254163,
          0.2558615690959376,
          0.29453823949590807,
          0.3347572858545267,
          0.3766790412366282,
          0.4204811771856859,
          0.4663515873959883,
          0.5144849059316362,
          0.5650799546012271,
          0.6183363803883962,
          0.6744495266922782,
          0.7336031255430219,
          0.7959601387654704,
          0.8616531981134902,
          0.9307773667537463,
          1.0033885462306298,
          1.0795097394460431,
          1.15914443537687,
          1.24229324964361,
          1.3289688988323003,
          1.4192061894566834,
          1.5130664037845656,
          1.6106374063065267,
          1.712031362620973,
          1.8173816129653915,
          1.9268396276141406,
          2.0405724621236234,
          2.158760819991242,
          2.2815976799879043,
          2.409287391766723,
          2.542045137823858,
          2.680096673170855,
          2.8236782727016703,
          2.973036833314577,
          3.128430092190367,
          3.290126933340334,
          3.4584077628161167,
          3.633564938660899,
          3.815903245895672,
          4.005740410030915,
          4.203407644432725,
          4.409250228601197,
          4.623628115463062,
          4.846916566437108,
          5.0795068137094415,
          5.321806749354504,
          5.574241641514752,
          5.8372548776145115,
          6.111308735011534,
          6.3968851795023145,
          6.694486692002877,
          7.004637123789066,
          7.327882580748477,
          7.664792336866048,
          8.01595977713243,
          8.382003370210064,
          8.763567670437192,
          9.161324349436287,
          9.575973256590753,
          10.008243507989537,
          10.458894602934926,
          10.928717566751162,
          11.418536118327118,
          11.929207860669115,
          12.461625491540978,
          13.016718031575499,
          13.59545206595999,
          14.198832995085555,
          14.82790628911278,
          15.483758739717045,
          16.167519701664844,
          16.880362315185398,
          17.623504698421083,
          18.39821109791292,
          19.205792982283146,
          20.04761006222645,
          20.92507121748958,
          21.839635307225823,
          22.79281183772428,
          23.786161456694693,
          24.82129623875337,
          25.89987972188289,
          27.023626649196324,
          28.194302364597554,
          29.413721805441206,
          30.683748031028426,
          32.00629022326101,
          33.34568401170316,
          34.63755471416989,
          35.88561157766259,
          37.09304975395371,
          38.26264678837125,
          39.396836766448416,
          40.497768168896044,
          41.567349632560806,
          42.60728658912452,
          43.619110923825886,
          44.604205223871396,
          45.563822783707245,
          46.49910424672786,
          47.411091554419436,
          48.30073972058672,
          49.168926834148536,
          50.01646260800918,
          50.84409572606927,
          51.65252019013183,
          52.442380829426135,
          53.21427810493178,
          53.96877231659139,
          54.70638730235631,
          55.427613702683395,
          56.132911851757484,
          56.82271434670299,
          57.49742833788878,
          58.15743757673371,
          58.80310425190683,
          59.43477064024087,
          60.052760594875046,
          60.65738088995958,
          61.248922438582916,
          61.82766139832913,
          62.39386017696436,
          62.94776834913257,
          63.48962349355521,
          64.01965195905065,
          64.53806956667046,
          65.04508225437817,
          65.54088666993793,
          66.0256707170292,
          66.49961405903315,
          66.96288858444291,
          67.41565883741612,
          67.85808241661111,
          68.29031034511482,
          68.7124874139807,
          69.12475250163334,
          69.52723887117354,
          69.92007444741327,
          70.30338207529266,
          70.67727976117179,
          71.04188089834871,
          71.39729447802962,
          71.74362528686369,
          72.08097409205484,
          72.40943781497087,
          72.72910969409142,
          73.0400794380604,
          73.3424333695446,
          73.63625456054037,
          73.921622959716,
          74.19861551232847,
          74.46730627321014,
          74.72776651328108,
          74.98006482000537,
          75.22426719217621,
          75.46043712938663,
          75.68863571651362,
          75.90892170351805,
          76.12135158084018,
          76.32597965065045,
          76.52285809419483,
          76.71203703545623,
          76.89356460133702,
          77.06748697855507,
          77.23384846742815,
          77.39269153271175,
          77.54405685164268,
          77.68798335932858,
          77.82450829161648,
          77.95366722556068,
          78.07549411760473,
          78.19002133958128,
          78.297279712629,
          78.39729853911591,
          78.49010563265401,
          78.57572734628391,
          78.65418859890022,
          78.72551289998596,
          78.78972237271817,
          78.84683777549995,
          78.89687852197378,
          78.93986269956392,
          78.97580708659116,
          79.00472716800247,
          79.02663714975016,
          79.04154997185621,
          79.04947732019058,
          79.05042963699056,
          79.04441613014446,
          79.03144478126188,
          79.0115223525479,
          78.98465439249377,
          78.95084524040098,
          78.91009802974399,
          78.86241469038065,
          78.80779594961491,
          78.74624133211063,
          78.67774915865881,
          78.60231654379233,
          78.51993939224236,
          78.43061239422718,
          78.3343290195618,
          78.23108151057387,
          78.12086087380767,
          78.00365687049666,
          77.8794580057799,
          77.74825151663744,
          77.61002335851322,
          77.46475819059313,
          77.31243935970186,
          77.15304888277586,
          76.98656742787193,
          76.8129742936585,
          76.63224738734075,
          76.44436320095886,
          76.24929678600057,
          76.04702172625736,
          75.83751010885268,
          75.62073249336501,
          75.39665787895798,
          75.16525366942658,
          74.92648563606235,
          74.68031787822783,
          74.4267127815272,
          74.16563097344856,
          73.89703127634311,
          73.62087065759887,
          73.33710417685138,
          73.04568493006482,
          72.74656399030181,
          72.43969034498686,
          72.12501082945084,
          71.80247005653011,
          71.47201034197059,
          71.13357162537206,
          70.78709138638071,
          70.43250455581688,
          70.06974342139736,
          69.69873752768167,
          69.3194135698405,
          68.93169528080837,
          68.53550331134356,
          68.13075510247685,
          67.71736474978044,
          67.29524285883883,
          66.8642963912417,
          66.42442850035766,
          65.9755383560739,
          65.51752095760729,
          65.05026693340253,
          64.57366232703419,
          64.08758836791837,
          63.591921225512706,
          63.08653174554576,
          62.57128516665593,
          62.04604081564499,
          61.51065177934682,
          60.964964550886855,
          60.40881864784829,
          59.842046199565445,
          59.26447150043388,
          58.6759105257377,
          58.07617040606233,
          57.46504885585258,
          56.84233355109775,
          56.20780145045537,
          55.56121805334818,
          54.90233658766854,
          54.23089711867253,
          53.54662556941704,
          52.849232641650744,
          52.13841262437263,
          51.41384207526008,
          50.67517835778897,
          49.92205801402284,
          49.15409494964838,
          48.37087840374402,
          47.571970670821536,
          46.7569045366756,
          45.925180382240484,
          45.0762629006413,
          44.20957736149311,
          43.32450534265128,
          42.42037983227559,
          41.49647958219688,
          40.552022565771885,
          39.58615835777547,
          38.5979592078029,
          37.586409518497,
          36.55039336057879,
          35.488679550844545,
          34.399903676474864,
          33.282546253680515,
          32.134905937758965,
          30.955066319823622,
          29.740854298063063,
          28.48978721142578,
          27.19900472940863,
          25.86517966575865,
          24.484399015977434,
          23.052001873295918,
          21.806709466347385,
          20.50676100931848,
          19.386916063089586,
          18.219776558855532,
          17.213345831159497,
          16.166281874371396,
          15.262914013881584,
          14.324527488329398,
          13.514854769561994,
          12.674952878537935,
          11.950549765366436,
          11.200047213752327,
          10.553360864721856,
          9.884169761970915,
          9.3084148228815,
          8.713307614839644,
          8.20231704354002,
          7.674751220261208,
          7.2227916520174,
          6.756704087794794,
          6.358295436090561,
          5.94790699085203,
          5.5977075471896764,
          5.237399953293039,
          4.930198337287974,
          4.614503781010812,
          4.3453032478126286,
          4.06898977846314,
          3.833127121620117,
          3.5913197004533894,
          3.3845626861803724,
          3.172842160679365,
          2.9914398852218467,
          2.8058934960257575,
          2.64658202600073,
          2.4838077264269387,
          2.343785926988371,
          2.2008657617096676,
          2.077757136335482,
          1.9522159324103174,
          1.8437605821672771,
          1.73331291707955,
          1.6377719664774435,
          1.5406064482314579,
          1.456693526729026,
          1.371462583814382,
          1.2982050464786627,
          1.2238895985990914,
          1.1607068761283157,
          1.0966889907019173,
          1.0436663583695438,
          0.9957849179091445,
          0.9540337987719038,
          0.9208720289089849,
          0.8875495327013538,
          0.8492944756736321,
          0.8068316510286557,
          0.7617178304880879,
          0.7149337398877587,
          0.6671544747116186,
          0.618876527401672,
          0.5702484234076691,
          0.521266275834551,
          0.4719274945484849,
          0.4222312677457757,
          0.3721792084649645,
          0.32810235645177477,
          0.28376289860504944,
          0.23917033095465914,
          0.19433869513324087,
          0.15500126316479348,
          0.11551494816451954,
          0.07590411935373186,
          0.04039742934538253,
          0.004846917421955841,
          -0.03070871106200866,
          -0.06231361450436117,
          -0.09383850794604075,
          -0.12522635758844097,
          -0.1529529992055366,
          -0.18045089194969946,
          -0.20763873980258318,
          -0.23155107739904549,
          -0.25504473211224665,
          -0.2780057326499261,
          -0.3002903018413545,
          -0.3190885326671336,
          -0.33707550950185594,
          -0.35405801640338935,
          -0.3697926037183478,
          -0.38225365161425107,
          -0.3933032440191981,
          -0.40105400946578623,
          -0.40745630482396306,
          -0.41144692706654795,
          -0.41418722798104146,
          -0.4153683046365979,
          -0.4153832277001827,
          -0.41434027260625267,
          -0.4122106269442658,
          -0.40932620375605133,
          -0.40542910658338255,
          -0.40045360053345747,
          -0.3952015746188057,
          -0.3890363743123185,
          -0.38192745957758273,
          -0.373844943392124,
          -0.3647667065565422,
          -0.3546798809449256,
          -0.3435821006654283,
          -0.3314823888436562,
          -0.3210612333105392,
          -0.3130966241230703,
          -0.3047692789451415,
          -0.2960359708509205,
          -0.2862383899602512,
          -0.27559149712375497,
          -0.2641828797679,
          -0.252022170456814,
          -0.2390728933955978,
          -0.2252615958716377,
          -0.2104726934961801,
          -0.19452062980481158,
          -0.17704838894114752,
          -0.15705840047085107,
          -0.14120751727516448,
          -0.1250189749536307,
          -0.10867109068126592,
          -0.09219189125846569,
          -0.07465045541912006,
          -0.056109706566231286,
          -0.03657006626232571,
          -0.0159709990559154,
          0.005788089192802108,
          0.028839626543427616,
          0.05334368672118402,
          0.07948215850214298,
          0.10744406028730315,
          0.13739144215128812,
          0.16939909804239195,
          0.20340088410698245,
          0.239222706005052,
          0.2766891925024736,
          0.31571735203819135,
          0.35633218653991167,
          0.39863618193503736,
          0.44277699026438855,
          0.4889271131335683,
          0.5372728009025165,
          0.5880056796563526,
          0.6413153897823689,
          0.6973808285164478,
          0.7563594139657005,
          0.8183753578002001,
          0.8835098919929514,
          0.9517977929660055,
          1.0232337362668353,
          1.0977882317260828,
          1.1754281882924604,
          1.2561352600038898,
          1.3399173773323043,
          1.4268128681053964,
          1.5168892916389658,
          1.6102396803038497,
          1.7069781796637602,
          1.8072361408665216,
          1.9111590402601888,
          2.0189042398576866,
          2.1306394584699717,
          2.2465417930725238,
          2.366797146973222,
          2.4915999514690355,
          2.621153097168392,
          2.755668014929601,
          2.895364864433901,
          3.040472801383955,
          3.191230303401804,
          3.3478855411714354,
          3.5106967856328484,
          3.679932845192802,
          3.8558735289518404,
          4.038810133338096,
          4.229045950633901,
          4.426896798448574,
          4.632691569795065,
          4.846772803585147,
          5.0694972756647365,
          5.301236610717943,
          5.542377915283085,
          5.793324432256426,
          6.05449621732564,
          6.326330837687615,
          6.609284093317946,
          6.903830761182659,
          7.210465362516517,
          7.52970295334092,
          7.862079938136744,
          8.208154906675897,
          8.568509493582129,
          8.94374926025742,
          9.334504598437174,
          9.741431654434205,
          10.165213272874407,
          10.606559958255223,
          11.066210852610999,
          11.544934726549286,
          12.043530981047171,
          12.562830656269838,
          13.103697443247867,
          13.66702869342832,
          14.253756419985935,
          14.864848284011401,
          15.50130855716833,
          16.164179050928624,
          16.85454000110127,
          17.573510894017957,
          18.322251218849946,
          19.10196112725729,
          19.913881979252498,
          20.75929674979524,
          21.639530266920918,
          22.55594924686037,
          23.50996208660886,
          24.503018366850007,
          25.53660801127664,
          26.61226003938939,
          27.731540839400214,
          28.89605187851524,
          30.10742675323426,
          31.367327472397594,
          32.59648178913218,
          33.7824006556763,
          34.92835122531916,
          36.0371615917251,
          37.11130076045017,
          38.15294062863718,
          39.16400471243873,
          40.14620694832675,
          41.10108294725562,
          42.03001543241115,
          42.934255139178866,
          43.81493813522735,
          44.6731002874987,
          45.50968943400713,
          46.325575693300316,
          47.12156025074866,
          47.8983828898511,
          48.65672848242229,
          49.39723260955384,
          50.12048645252831,
          50.82704106714579,
          51.517411134561286,
          52.192078265480504,
          52.85149392151021,
          53.496082006911756,
          54.12624117542155,
          54.74234688978928,
          55.34475326590739,
          55.93379472863988,
          56.509787502492806,
          57.07303095696207,
          57.62380882362545,
          58.16239029971123,
          58.689031050905015,
          59.203974124486614,
          59.70745078246298,
          60.19968126314946,
          60.68087547860967,
          61.151233654466665,
          61.61094691782626,
          62.060197838385356,
          62.499160927217346,
          62.928003097221726,
          63.34688408878606,
          63.7559568638241,
          64.15536797101386,
          64.54525788476663,
          64.92576132019616,
          65.29700752612321,
          65.65912055795441,
          66.01221953208623,
          66.3564188633301,
          66.69182848670953,
          67.01855406485328,
          67.33669718209703,
          67.64635552630159,
          67.94762305930696,
          68.24059017685966,
          68.52534385877627,
          68.8019678100415,
          69.07054259347821,
          69.33114575457459,
          69.5838519390028,
          69.8287330033225,
          70.0658581193197,
          70.29529387239602,
          70.51710435439209,
          70.73135125119583,
          70.93809392546267,
          71.13738949474448,
          71.32929290530797,
          71.51385700189581,
          71.69113259366907,
          71.86116851654918,
          72.02401169216499,
          72.17970718358913,
          72.32829824804367,
          72.46982638673244,
          72.60433139195369,
          72.73185139163118,
          72.85242289139413,
          72.96608081432665,
          73.07285853849784,
          73.17278793237813,
          73.26589938823649,
          73.35222185361053,
          73.4317828609315,
          73.50460855538158,
          73.57072372105631,
          73.63015180549687,
          73.6829149426556,
          73.72903397435144,
          73.76852847026592,
          73.8014167465312,
          73.82771588295186,
          73.8474417389034,
          73.86060896794285,
          73.86723103116701,
          73.86732020934839,
          73.86088761387563,
          73.84794319652437,
          73.82849575807992,
          73.80255295582975,
          73.77012130994412,
          73.73120620875576,
          73.68581191295256,
          73.63394155868964,
          73.575597159628,
          73.51077960790262,
          73.43948867402266,
          73.36172300569959,
          73.27748012560271,
          73.18675642803329,
          73.08954717450914,
          72.98584648824983,
          72.87564734754595,
          72.75894157799729,
          72.63571984360094,
          72.50597163666589,
          72.36968526652899,
          72.22684784704558,
          72.07744528282201,
          71.9214622541544,
          71.75888220063908,
          71.58968730340756,
          71.41385846594503,
          71.23137529344075,
          71.04221607061491,
          70.84635773796487,
          70.64377586636714,
          70.43444462996545,
          70.2183367772715,
          69.99542360039669,
          69.76567490233005,
          69.52905896216708,
          69.28554249819064,
          69.03509062869271,
          68.7776668304231,
          68.51323289453458,
          68.24174887989277,
          67.96317306359958,
          67.6774618885743,
          67.38456990802028,
          67.08444972659093,
          66.77705193805744,
          66.46232505925968,
          66.1402154601077,
          65.81066728938,
          65.47362239604466,
          65.12902024580428,
          64.77679783254344,
          64.41688958432526,
          64.04922726355814,
          63.67373986091532,
          63.29035348255381,
          62.898991230141775,
          62.49957307315156,
          62.09201571283184,
          61.6762324372111,
          61.252132966426956,
          60.819623287604756,
          60.378605478431545,
          59.92897751848818,
          59.470633087304265,
          59.003461347995824,
          58.52734671522286,
          58.04216860606964,
          57.547801172300126,
          57.04411301226613,
          56.53096686055303,
          56.00821925322878,
          55.47572016630959,
          54.933312624773244,
          54.38083227912317,
          53.81810694613926,
          53.24495611002037,
          52.661190379637084,
          52.06661089704732,
          51.46100869177057,
          50.84416397456625,
          50.215845363569315,
          49.5758090346178,
          48.92379778639093,
          48.25954000956765,
          47.58274854753707,
          46.89311943421407,
          46.19033049215735,
          45.4740397713749,
          44.74388380582284,
          43.999475660538984,
          43.240402737418634,
          42.46622430164235,
          41.67646868340745,
          40.87063010056427,
          40.04816503653261,
          39.2084880938645,
          38.350967226227,
          37.47491822929341,
          36.57959834260612,
          35.664198777871576,
          34.7278359416159,
          33.7695410577592,
          32.78824781296501,
          31.78277753668465,
          30.751821277115464,
          29.693917926764247,
          28.607427261200236,
          27.49049634230949,
          26.341017140711358,
          25.156572350886098,
          23.93436504163314,
          22.671125722320486,
          21.362987116768544,
          20.16954018011554,
          18.926943817173385,
          17.861125303889747,
          16.750718040759484,
          15.797766577083335,
          14.806962939017186,
          13.956872131940303,
          13.074605171519154,
          12.318285916992597,
          11.534630575018195,
          10.86376383831134,
          10.169718351509754,
          9.576558214027415,
          8.96380170102607,
          8.44098401603718,
          7.901654278585718,
          7.442074139308962,
          6.968626616444321,
          6.565425777909607,
          6.150611566227089,
          5.797262386312772,
          5.434208010634209,
          5.124636884333399,
          4.8069656147546995,
          4.535657370926582,
          4.257591661093595,
          4.019644951177958,
          3.7760591616296546,
          3.567192207866041,
          3.3536147874628637,
          3.170136011328908,
          2.982715854451994,
          2.821476561556758,
          2.6569310320822095,
          2.51507213568978,
          2.370480836876651,
          2.245528470599007,
          2.1183437116747355,
          2.008545434041843,
          1.8969280595456801,
          1.8009060307518543,
          1.7034151445000123,
          1.6202308533714411,
          1.535877042949631,
          1.4652436709511711,
          1.3937005827658817,
          1.3368679764495335,
          1.2882504894590017,
          1.2392002528192725,
          1.1898519615868086,
          1.1383683477420155,
          1.0831971648998322,
          1.025652417452769,
          0.9666699941130208,
          0.9069281443203899,
          0.8467196037243215,
          0.7860340857270467,
          0.7248618313896315,
          0.663193944371466,
          0.6010228527460847,
          0.5462920897091714,
          0.49117094345893164,
          0.43565968839676916,
          0.3797617158586309,
          0.3309929091522079,
          0.28194757799041603,
          0.2326385601313052,
          0.18868502027856032,
          0.14455425096451086,
          0.10027283203506149,
          0.06119901584895209,
          0.02205200632908508,
          -0.017119855031751507,
          -0.05139416456527233,
          -0.08562317479135934,
          -0.11973879194792976,
          -0.14937406320741023,
          -0.1788297050409312,
          -0.2080185996932773,
          -0.23320566289994016,
          -0.2580579823667629,
          -0.2824682063980564,
          -0.30338768762265944,
          -0.3237854424806363,
          -0.3435295273340357,
          -0.36030857756900225,
          -0.3763228115674562,
          -0.3914048727287686,
          -0.4053458841713001,
          -0.41640268854402923,
          -0.42616306299219364,
          -0.43435134170790646,
          -0.4399050250873522,
          -0.44376367482200213,
          -0.44538019786016836,
          -0.44547450630818153,
          -0.4442452219270453,
          -0.4416647286424284,
          -0.43831034141934305,
          -0.43374508006927187,
          -0.4287088015245465,
          -0.42258018616130316,
          -0.4161503493303044,
          -0.40873064846139867,
          -0.40027602466538587,
          -0.3920278070549186,
          -0.3829162902033974,
          -0.3729265812450782,
          -0.3620411890662973,
          -0.3502502199109135,
          -0.3375524343036495,
          -0.32395605475201406,
          -0.308850966756353,
          -0.29798969735050346,
          -0.2893698463925918,
          -0.28048043823555274,
          -0.2711219600311952,
          -0.260598886968959,
          -0.24917352108223215,
          -0.23695990224819496,
          -0.22398709280033505,
          -0.2102377452030982,
          -0.19566562854692754,
          -0.18020308507623276,
          -0.16375311237179327,
          -0.14611757061284786,
          -0.12649508569099216,
          -0.10606690847106691,
          -0.08543476520242524,
          -0.06464775829916623,
          -0.04375054903404269,
          -0.022783296087432594,
          -0.0017817344375809269,
          0.020052458333243088,
          0.04290835320174058,
          0.06693422714451028,
          0.09229490396539507,
          0.11916882953096967,
          0.14773970180960405,
          0.1781759268472229,
          0.21059402310713513,
          0.24502414188586252,
          0.2814043308263983,
          0.31962356528120583,
          0.35959527101318023,
          0.40130546541775747,
          0.4448161035238244,
          0.4902449038779351,
          0.5377430022265424,
          0.5874791066449365,
          0.6396234300546796,
          0.6943333263529392,
          0.7517380482197885,
          0.81192416085323,
          0.8749259089606448,
          0.9407261587250185,
          1.0092706859619727,
          1.0804919992086683,
          1.1543336924574485,
          1.2307672513698535,
          1.3097987605317125,
          1.3914678397480023,
          1.4758426791696504,
          1.5630141821720607,
          1.6530907848595249,
          1.7461944639979718,
          1.842457906056012,
          1.9420226177195303,
          2.045037734938265,
          2.151659326457003,
          2.2620500386836206,
          2.376378973410906,
          2.4948217239729846,
          2.6175605196292717,
          2.744784444856867,
          2.876689711338368,
          3.0134799682454427,
          3.155366641313693,
          3.3025692946335514,
          3.455316011321645,
          3.613843790749132,
          3.7783989608827104,
          3.9492376051665654,
          4.126626003546609,
          4.3108410877410686,
          4.502170910917417,
          4.700915132081,
          4.907385515534126,
          5.121906445805792,
          5.344815458436153,
          5.576463787004366,
          5.817216926717613,
          6.067455214773755,
          6.327574427900987,
          6.597986397040237,
          6.879119639288558,
          7.17142000714265,
          7.475351354719219,
          7.7913962207728975,
          8.120056528031983,
          8.461854298112701,
          8.817332381216767,
          9.187055199673816,
          9.571609503513118,
          9.971605136918878,
          10.387675812955548,
          10.820479894483784,
          11.270701178042046,
          11.739049677145843,
          12.226262400825208,
          12.733104122475433,
          13.26036813293553,
          13.808876971235117,
          14.379483124562231,
          14.973069688396876,
          15.590550975400852,
          16.23287306049223,
          16.901014246748208,
          17.595985434755637,
          18.318830374497985,
          19.07062577611134,
          19.852481250957272,
          20.6655390500945,
          21.51097356141219,
          22.389990519839152,
          23.303825877253814,
          24.253744268852923,
          25.24103700193606,
          26.26701947919472,
          27.333027953247992,
          28.44041548961897,
          29.590546994462727,
          30.717800555161205,
          31.804702283645863,
          32.854312971501784,
          33.86928208607754,
          34.85192262148263,
          35.80426913365332,
          36.7281233818032,
          37.625090682208075,
          38.496609197274914,
          39.34397377804592,
          40.16835555618251,
          40.97081818183519,
          41.7523313877846,
          42.513782402296584,
          43.25598561614546,
          43.979690821578934,
          44.68559027454587,
          45.37432478063919,
          46.04648896589059,
          46.70263586290109,
          47.34328091869514,
          47.96890551159908,
          48.579960049212,
          49.176866707303,
          49.760021859576646,
          50.32979824020152,
          50.88654687441548,
          51.43059880710971,
          51.96226665481538,
          52.4818460028045,
          52.98961666591165,
          53.48584382908565,
          53.97077908148957,
          54.44466135612275,
          54.90771778536723,
          55.36016448152538,
          55.802207250277604,
          56.23404224401062,
          56.65585656112376,
          57.0678287967,
          57.47012954929595,
          57.86292188806688,
          58.24636178396451,
          58.620598508335476,
          58.985775001886005,
          59.34202821666254,
          59.68948943342132,
          60.02828455651183,
          60.358534388187344,
          60.68035488406113,
          60.99385739126094,
          61.29914887068006,
          61.59633210459465,
          61.88550589079346,
          62.16676522426116,
          62.44020146736272,
          62.70590250938997,
          62.96395291625298,
          63.214434071034624,
          63.457424306060034,
          63.692999027080376,
          63.92123083011726,
          64.14218961147147,
          64.35594267135491,
          64.5625548115703,
          64.76208842762685,
          64.95460359565178,
          65.14015815442626,
          65.31880778285034,
          65.49060607311962,
          65.65560459987134,
          65.81385298554154,
          65.96539896215357,
          66.11028842974585,
          66.24856551162706,
          66.38027260663773,
          66.50545043857922,
          66.62413810296533,
          66.73637311123483,
          66.84219143255707,
          66.94162753335343,
          67.03471441464552,
          67.12148364733716,
          67.20196540552664,
          67.27618849794094,
          67.34418039757578,
          67.4059672696195,
          67.46157399773386,
          67.5110242087605,
          67.55434029591274,
          67.59154344051493,
          67.62265363233793,
          67.64768968858492,
          67.66666927157087,
          67.67960890513862,
          67.68652398984942,
          67.6874288169842,
          67.68233658138737,
          67.67125939318285,
          67.65420828838865,
          67.63119323845193,
          67.60222315872963,
          67.5673059159285,
          67.52644833452395,
          67.47965620216898,
          67.4269342741063,
          67.36828627659088,
          67.30371490933075,
          67.23322184694929,
          67.15680773947207,
          67.07447221183786,
          66.98621386243059,
          66.89203026062782,
          66.79191794336072,
          66.68587241067257,
          66.57388812026815,
          66.45595848103682,
          66.33207584553335,
          66.20223150140001,
          66.06641566170528,
          65.92461745417434,
          65.77682490928778,
          65.62302494721325,
          65.46320336354142,
          65.29734481378546,
          65.12543279660746,
          64.94744963572407,
          64.76337646044901,
          64.57319318481458,
          64.37687848522062,
          64.17440977654994,
          63.965763186681166,
          63.75091352933181,
          63.52983427515396,
          63.302497520997754,
          63.06887395725809,
          62.82893283320386,
          62.58264192018789,
          62.329967472627416,
          62.070874186631734,
          61.805325156147454,
          61.53328182648407,
          61.25470394506255,
          60.96954950922952,
          60.677774710954075,
          60.37933387822079,
          60.07417941290876,
          59.76226172493384,
          59.443529162410606,
          59.11792793757083,
          58.785402048151944,
          58.44589319394647,
          58.09934068817344,
          57.74568136330387,
          57.38484947094066,
          57.016776575316555,
          56.64139143993291,
          56.25861990681713,
          55.868384767829724,
          55.47060562739531,
          55.06519875597213,
          54.65207693350494,
          54.231149282035084,
          53.80232108655232,
          53.36549360307934,
          52.92056385287959,
          52.46742440154938,
          52.00596312163302,
          51.53606293723849,
          51.05760154896577,
          50.57045113726494,
          50.07447804212003,
          49.56954241670631,
          49.05549785237935,
          48.53219097203165,
          47.99946098847604,
          47.457139224083186,
          46.90504858740648,
          46.343003001951985,
          45.77080678158622,
          45.18825394629998,
          44.595127471143655,
          43.99119846008967,
          43.37622523533929,
          42.74995233111701,
          42.1121093792696,
          41.46240987191281,
          40.800549783912935,
          40.12620603503032,
          39.43903476799282,
          38.738669414452495,
          38.02471851553245,
          37.296763257241444,
          36.5543546731218,
          35.79701045669337,
          35.02421131402667,
          34.235396771425634,
          33.42996033376395,
          32.60724386423695,
          31.76653102440321,
          30.907039571992044,
          30.02791225967028,
          29.128206006025444,
          28.206878913581754,
          27.262774577741208,
          26.294602950374625,
          25.300916770097654,
          24.28008221386146,
          23.230241907649752,
          22.149267671466667,
          21.03469922290395,
          19.883663282089664,
          18.692764682759336,
          17.624909153632814,
          16.514618758590334,
          15.568622721515494,
          14.585383539466301,
          13.747949710396849,
          12.879496913656496,
          12.140365437186805,
          11.375393508430065,
          10.724734874556995,
          10.052559566830851,
          9.480952085005239,
          8.89143820567732,
          8.389937998492039,
          7.873541451681525,
          7.433806903312286,
          6.981680278877794,
          6.596091380828663,
          6.200189301462214,
          5.8619216077327145,
          5.515063291702546,
          5.2181061626426875,
          4.91398371470681,
          4.65311329698299,
          4.386255630713504,
          4.156980506481397,
          3.9226906273948616,
          3.721187263427745,
          3.515469930055053,
          3.337905324579554,
          3.156907521329641,
          3.000669604945047,
          2.841621320092701,
          2.7046094292373457,
          2.565312266986754,
          2.445947169004209,
          2.3247440324874455,
          2.222110162135278,
          2.118023935277077,
          2.0323848319836335,
          1.9554454593926889,
          1.8891346954479795,
          1.831951053787437,
          1.7744406311122878,
          1.709096034219354,
          1.6377771420613,
          1.562689773462612,
          1.4852734974370714,
          1.406543247822179,
          1.327144234720119,
          1.247056116832961,
          1.1662580305116204,
          1.0847287484599075,
          1.002446923450451,
          0.9295360910616706,
          0.8560145411415288,
          0.7818693256427404,
          0.707088951692915,
          0.6419710605533537,
          0.576368326169935,
          0.5102795198054157,
          0.4515061351779364,
          0.3923515054091651,
          0.3328341458546382,
          0.28049008429367417,
          0.22787239196453898,
          0.17502539158391023,
          0.1289747017081255,
          0.08276848129856902,
          0.03647229042934638,
          -0.003553233513179169,
          -0.04360861277266321,
          -0.0836106887698285,
          -0.11794829887864224,
          -0.1521836288051795,
          -0.18621834537388768,
          -0.21522994894971054,
          -0.24399984221737206,
          -0.27241560764608286,
          -0.2964548474015699,
          -0.32010249003994773,
          -0.3432315950571674,
          -0.36261640345067936,
          -0.3814427301633772,
          -0.3995666359394559,
          -0.41454988090926154,
          -0.4287780628314317,
          -0.4420843976547382,
          -0.4528071109882435,
          -0.4625216964618461,
          -0.4710255921914122,
          -0.4773987452234207,
          -0.4823895019657544,
          -0.48572696502309426,
          -0.4870401985459647,
          -0.4864369319540967,
          -0.4842441655826201,
          -0.48074034353740736,
          -0.47614817388488195,
          -0.4699931512388459,
          -0.4636148290953297,
          -0.4558806363355732,
          -0.4481365580635766,
          -0.43921158481714767,
          -0.4303780002328517,
          -0.4205056247811774,
          -0.4107507296818513,
          -0.4000748545886012,
          -0.3884549966533872,
          -0.3773923395644668,
          -0.3655433734349945,
          -0.3529073409697591,
          -0.3394798461058367,
          -0.325263592149985,
          -0.31026897725899477,
          -0.29336410347712943,
          -0.28034022935929104,
          -0.269358094085651,
          -0.26066840718797096,
          -0.2517944963640237,
          -0.24189071830404724,
          -0.23074330022652287,
          -0.21864040632972606,
          -0.2057104039133007,
          -0.1920032166750651,
          -0.17753870604860372,
          -0.16234667250472312,
          -0.14651820164045778,
          -0.1302884363278724,
          -0.1138848339859308,
          -0.09362412146405943,
          -0.07220598286895565,
          -0.05064943779267444,
          -0.029001040083908178,
          -0.0073029274853435655,
          0.014407226901756068,
          0.03651603962531452,
          0.059404915727830764,
          0.08322895920268394,
          0.10814795294670299,
          0.13432886507861827,
          0.1619465387060006,
          0.19117880908427337,
          0.22219316688918528,
          0.2551247829166486,
          0.29005623166232025,
          0.327001901541197,
          0.36592090758378615,
          0.40675996122048313,
          0.4494993724056296,
          0.49417466597858634,
          0.5408714555721752,
          0.5897064273530863,
          0.640807628346862,
          0.6942906871315905,
          0.7502354691802916,
          0.8086688759033198,
          0.8695588821263358,
          0.9328258363660428,
          0.9983689048576544,
          1.0660965360120065,
          1.135948625155745,
          1.207905345077321,
          1.28198537540463,
          1.3582390115310838,
          1.4367403962373984,
          1.517580936529039,
          1.6008644436640913,
          1.6867038296157029,
          1.775218991071225,
          1.8665355279070668,
          1.9607840225961441,
          2.0580996876179785,
          2.1586222511019506,
          2.2624959958391906,
          2.3698698969512653,
          2.4808978232177363,
          2.5957387800678875,
          2.7145571802171986,
          2.837523133422467,
          2.9648127501028627,
          3.0966084557211464,
          3.2330993142239026,
          3.3744813597253143,
          3.5209579361066874,
          3.6727400446300966,
          3.830046699757686,
          3.993105293581931,
          4.16215196929521,
          4.337432004102338,
          4.5192002020746935,
          4.707721297316579,
          4.903270367815915,
          5.106133260372219,
          5.316607026823962,
          5.535000371872207,
          5.761634112558961,
          5.996841649583792,
          6.24096945043249,
          6.494377544145289,
          6.757440027666733,
          7.030545583317547,
          7.314098007014098,
          7.6085167466474,
          7.914237449768036,
          8.231712519611348,
          8.561411678306122,
          8.90382253577627,
          9.259451162533628,
          9.628822664248402,
          10.012481755755486,
          10.410993331312392,
          10.824943027867036,
          11.254937777160414,
          11.70160634198681,
          12.165599831104489,
          12.647592186282779,
          13.148280634226065,
          13.668386094381868,
          14.20865353277042,
          14.769852249958682,
          15.352776089587257,
          15.958243551313798,
          16.587097789986466,
          17.240206478982735,
          17.918461512677474,
          18.622778518472632,
          19.354096143427558,
          20.11337507487363,
          20.901596747110748,
          21.7197616771524,
          22.56888736268562,
          23.450005662297855,
          24.364159563013352,
          25.312399221594493,
          26.295777143428655,
          27.315342334386465,
          28.32847944258774,
          29.30444814256033,
          30.246095909276914,
          31.15588573268962,
          32.035966326261125,
          32.88822652116882,
          33.7143380138188,
          34.515789391598894,
          35.2939135288122,
          36.04990987456946,
          36.78486275675395,
          37.499756544046704,
          38.195488304732784,
          38.87287845246954,
          39.53267975923776,
          40.175585033321596,
          40.802233697766496,
          41.41321745701986,
          42.00908520257823,
          42.59034727972065,
          43.15747921482254,
          43.71092498486265,
          44.25109989646671,
          44.77839313038284,
          45.29316999801945,
          45.795773949157244,
          46.28652836378489,
          46.76573815595107,
          47.23369121334493,
          47.69065969284183,
          48.1369011893563,
          48.57265979291677,
          48.998167046835476,
          49.413642818117765,
          49.81929608979798,
          50.21532568364003,
          50.601920920577335,
          50.979262225359065,
          51.34752168108174,
          51.70686353861279,
          52.057444685329024,
          52.39941507708309,
          52.732918136872954,
          53.058091123306454,
          53.37506547161271,
          53.68396710966291,
          53.98491675119974,
          54.278030168252144,
          54.563418444506766,
          54.8411882112335,
          55.11144186720149,
          55.3742777838879,
          55.62979049715072,
          55.87807088643162,
          56.11920634245474,
          56.353280924296676,
          56.58037550662615,
          56.8005679178413,
          57.013933069766125,
          57.22054307951315,
          57.420467384064196,
          57.61377284807857,
          57.800523865391035,
          57.98078245462903,
          58.154608349337614,
          58.32205908297435,
          58.4831900691066,
          58.638054677114496,
          58.786704303681915,
          58.92918844033813,
          59.065554737286746,
          59.19584906374527,
          59.32011556500286,
          59.43839671638332,
          59.55073337429173,
          59.657164824507845,
          59.757728827876235,
          59.85246166353686,
          59.94139816982377,
          60.024571782953224,
          60.102014573618305,
          60.17375728158864,
          60.23982934841589,
          60.30025894833709,
          60.35507301745568,
          60.404297281281906,
          60.44795628070442,
          60.48607339646012,
          60.51867087216496,
          60.545769835965174,
          60.567390320860426,
          60.58355128375252,
          60.594270623262744,
          60.59956519636132,
          60.59945083384989,
          60.59394235473213,
          60.58305357950529,
          60.56679734240351,
          60.54518550262212,
          60.51822895454534,
          60.48593763700173,
          60.44832054156782,
          60.40538571993651,
          60.35714029036678,
          60.303590443227606,
          60.244741445648984,
          60.18059764528588,
          60.11116247320685,
          60.0364384459102,
          59.95642716646747,
          59.871129324803995,
          59.78054469710569,
          59.684672144357144,
          59.58350961000283,
          59.477054116723764,
          59.36530176232142,
          59.248247714701165,
          59.12588620593567,
          58.9982105253979,
          58.86521301194346,
          58.72688504512458,
          58.583217035408914,
          58.434198413382845,
          58.27981761790818,
          58.120062083202086,
          57.95491822480719,
          57.78437142441489,
          57.60840601350283,
          57.42700525573836,
          57.24015132810772,
          57.047825300713555,
          56.85000711518764,
          56.64667556165887,
          56.437808254212314,
          56.22338160476563,
          56.003370795293065,
          55.77774974830911,
          55.54649109552856,
          55.3095661446058,
          55.066944843851125,
          54.81859574481404,
          54.564485962612835,
          54.30458113388368,
          54.038845372208485,
          53.76724122087178,
          53.489729602783065,
          53.20626976738968,
          52.91681923439072,
          52.62133373404144,
          52.31976714383066,
          52.01207142128173,
          51.698196532620265,
          51.37809037701397,
          51.051698706082,
          50.71896503832467,
          50.37983056811107,
          50.0342340688154,
          49.68211178966198,
          49.32339734579669,
          48.95802160105204,
          48.585912542828545,
          48.20699514845444,
          47.821191242319074,
          47.42841934301115,
          47.02859449960919,
          46.62162811617902,
          46.20742776344405,
          45.78589697646707,
          45.35693503706599,
          44.92043673953952,
          44.4762921381109,
          44.02438627432267,
          43.56459888239637,
          43.09680407033733,
          42.62086997428848,
          42.13665838332618,
          41.64402433152725,
          41.14281565372385,
          40.63287250088395,
          40.11402681049628,
          39.58610172669919,
          39.04891096413172,
          38.50225810861176,
          37.94593584670752,
          37.37972511505037,
          36.803394158797225,
          36.21669748693479,
          35.619374710077004,
          35.01114924395965,
          34.39172685888702,
          33.76079405182473,
          33.11801621349565,
          32.46303555753806,
          31.795468772267846,
          31.11490434752253,
          30.420899519021592,
          29.712976760079453,
          28.990619734597587,
          28.25326860498852,
          27.500314562662066,
          26.73109341496669,
          25.944878018336595,
          25.140869289009434,
          24.318185444579584,
          23.475849023887633,
          22.612771087554336,
          21.727731799226113,
          20.819356301260463,
          19.886084385902794,
          18.926131856314807,
          17.9374405599582,
          16.917612671805106,
          15.975270881460425,
          14.999657409069522,
          14.17204162057211,
          13.314701049474708,
          12.586465376519032,
          11.833782453526444,
          11.193542619853064,
          10.533135569400017,
          9.970420479481332,
          9.391026972390149,
          8.896386683076278,
          8.387919767749803,
          7.952960407107081,
          7.506510511586833,
          7.123874036014652,
          6.731663779944184,
          6.394971408802857,
          6.050279404496321,
          5.754058402290262,
          5.4511299829897695,
          5.189915242250314,
          4.9232203872797236,
          4.6931611509116555,
          4.458610468870083,
          4.256623531720463,
          4.050976321013025,
          3.874697120129559,
          3.69546500056214,
          3.5434217504386347,
          3.3890355239952052,
          3.2612531218648773,
          3.1455758525063433,
          3.044123808969451,
          2.9621795920617826,
          2.8794241191514356,
          2.7892743862160314,
          2.6888729555962354,
          2.5819983125219843,
          2.4710652586388964,
          2.35772865712117,
          2.243201382979216,
          2.1275634536863137,
          2.0107730195643816,
          1.8927857612680399,
          1.773554803069059,
          1.6671815011000652,
          1.5597638769843523,
          1.451264742081358,
          1.3527726416584938,
          1.2533468831525,
          1.1529586219628514,
          1.0633261174811042,
          0.9728887291852845,
          0.8816385239571964,
          0.8011949055718248,
          0.7200732164679092,
          0.6383042975663487,
          0.5669577071239023,
          0.49507428996634123,
          0.4227156013520955,
          0.36011546090254665,
          0.2971269821506796,
          0.23383522035206356,
          0.17948052434289716,
          0.12488816782805108,
          0.0701609079599208,
          0.02347331273102816,
          -0.023302157063206493,
          -0.06536534697490201,
          -0.10739738752591585,
          -0.14506668494212677,
          -0.18261125121723384,
          -0.21613642508834946,
          -0.2494444714769784,
          -0.2790657422558793,
          -0.30837818248728754,
          -0.33432318464900845,
          -0.3598676079300892,
          -0.3823487428187138,
          -0.4043364871664202,
          -0.42354839177862985,
          -0.44217165165940153,
          -0.4582884261739765,
          -0.4737169721730379,
          -0.48830303927862134,
          -0.4999239870772592,
          -0.5106945213100886,
          -0.5204352649352362,
          -0.5278132525144414,
          -0.5341355868741801,
          -0.5391989444407451,
          -0.5423909753390531,
          -0.5442536783810697,
          -0.5445422085099142,
          -0.5432284210043355,
          -0.5401589027934691,
          -0.535009938926405,
          -0.5286810727420139,
          -0.521155515258484,
          -0.5127446610586578,
          -0.5036302008259992,
          -0.4928214473138657,
          -0.4826163324177882,
          -0.4709721681129983,
          -0.4599439919655879,
          -0.44769973619737435,
          -0.43603606375770426,
          -0.42333042708279484,
          -0.4111253692304315,
          -0.3980174960414707,
          -0.38399475645818304,
          -0.37092757341723803,
          -0.3571096141224193,
          -0.3425477386842818,
          -0.3272408308905763,
          -0.3111945638010227,
          -0.29442195506965385,
          -0.2757318868377141,
          -0.26087385998778634,
          -0.24804756281584509,
          -0.23700542942622096,
          -0.22803736046390613,
          -0.21894673298161832,
          -0.20847118398292122,
          -0.1967148407483872,
          -0.18396300017545728,
          -0.1703637383895125,
          -0.1560339219048355,
          -0.14116727344607538,
          -0.1261395413403245,
          -0.11097102157060812,
          -0.09490439390575876,
          -0.07466576504679948,
          -0.04833252429469268,
          -0.025874486672937017,
          -0.003367283531264947,
          0.019146306881036714,
          0.041628124179680294,
          0.06430009724061835,
          0.08760176119658292,
          0.11170289858261692,
          0.13676531107313866,
          0.16295066450442774,
          0.190424673549823,
          0.2193577182895948,
          0.24991702453776732,
          0.2822603991897589,
          0.31652289343623047,
          0.35280041642695326,
          0.39114027137452206,
          0.43154882935421457,
          0.47401689318947826,
          0.5185481239366954,
          0.5651727566098304,
          0.6139404519721028,
          0.6648984562682786,
          0.7180701087345578,
          0.7734247321305602,
          0.8308719121895289,
          0.8902785772164782,
          0.9515040290093796,
          1.0144346315279649,
          1.0790031865042886,
          1.1451911317294239,
          1.21302053679742,
          1.2825432968575499,
          1.3538316210639585,
          1.4269710470961958,
          1.5020558047564314,
          1.5791859400025368,
          1.658465632058897,
          1.7400022767601973,
          1.823906046952973,
          1.910289744102448,
          1.9992688249539154,
          2.090961531998847,
          2.1854890843983408,
          2.282975903380969,
          2.3835498567031177,
          2.4873425132675866,
          2.594489402858216,
          2.70513027844727,
          2.819409379898339,
          2.9374756986779564,
          3.0594832438205763,
          3.1855913095253157,
          3.3159647449796568,
          3.450774226967477,
          3.5901965359566073,
          3.734414836180735,
          3.88361896033163,
          4.038005699290908,
          4.197779097430355,
          4.363150753767005,
          4.534340129388846,
          4.711574861362773,
          4.895091083357052,
          5.085133753037462,
          5.2819569864575255,
          5.485824399272945,
          5.697009454782229,
          5.915795818610983,
          6.142477719713471,
          6.377360317455259,
          6.620760074134549,
          6.873005132389996,
          7.134435696761184,
          7.405404418418116,
          7.686276781980854,
          7.9774314930755965,
          8.27926086502432,
          8.59217120299577,
          8.916583183197265,
          9.25293222488352,
          9.601668852051242,
          9.96325904159908,
          10.338184554028764,
          10.726943242170647,
          11.130049332659404,
          11.548033674385854,
          11.98144394678206,
          12.430844820145746,
          12.896818058647836,
          13.379962555537983,
          13.880894288090872,
          14.400246178259229,
          14.93866784246725,
          15.496825211310709,
          16.07539999718074,
          16.675088983703613,
          17.296603106730476,
          17.940666291811176,
          18.608014006150338,
          19.299391476335717,
          20.015551514271795,
          20.75725188254534,
          21.525252117688485,
          22.32030971426115,
          23.143175552449016,
          23.994588428297625,
          24.87526851496423,
          25.752243003723205,
          26.596389739625224,
          27.410214016868558,
          28.195885558859626,
          28.95529925295372,
          29.69012232956719,
          30.401831525445346,
          31.091742724888014,
          31.761034868566252,
          32.4107694357132,
          33.041906466847415,
          33.65531785320721,
          34.25179844496484,
          34.83207540273926,
          35.39681612229259,
          35.94663499123696,
          36.48209918267909,
          37.00373364938192,
          37.51202545006342,
          38.00742751448091,
          38.49036193431934,
          38.96122285132947,
          39.42037900172657,
          39.86817596587068,
          40.304938164157626,
          40.730970633470314,
          41.14656061315793,
          41.55197896507088,
          41.947481448521195,
          42.333309867989804,
          42.70969310885843,
          43.07684807431176,
          43.43498053476392,
          43.784285899642434,
          44.12494992007986,
          44.45714932996108,
          44.7810524318424,
          45.096819633460406,
          45.40460393984154,
          45.70455140545053,
          45.996801550276665,
          46.281487743332946,
          46.558737556634284,
          46.82867309239243,
          47.09141128586989,
          47.34706418606585,
          47.59573921618899,
          47.83753941566284,
          48.0725636652361,
          48.30090689661426,
          48.5226602878832,
          48.73791144588374,
          48.94674457656812,
          49.14924064429312,
          49.345477520898825,
          49.535530125354676,
          49.71947055467831,
          49.89736820677419,
          50.06928989577876,
          50.23529996045126,
          50.395460366100465,
          50.549830800498015,
          50.698468764192654,
          50.841429655599974,
          50.978766851220584,
          51.11053178130215,
          51.23677400124289,
          51.357541259010624,
          51.47287955881807,
          51.58283322129617,
          51.687444940373766,
          51.786755837061705,
          51.880805510324876,
          51.969632085209646,
          52.05327225838429,
          52.13176134124201,
          52.20513330069255,
          52.27342079777532,
          52.33665522420632,
          52.39486673697139,
          52.448084291057924,
          52.496335670425864,
          52.53964751730494,
          52.57804535988938,
          52.61155363852087,
          52.64019573041157,
          52.663993972989125,
          52.68296968591211,
          52.69714319181606,
          52.70653383584383,
          52.71116000400518,
          52.71103914041509,
          52.7061877634488,
          52.696621480849274,
          52.682355003831056,
          52.66340216020667,
          52.63977590656678,
          52.611488339542674,
          52.57855070617474,
          52.54097341341241,
          52.498766036765915,
          52.45193732812509,
          52.40049522276397,
          52.344446845548646,
          52.28379851635498,
          52.21855575471606,
          52.148723283694764,
          52.074305033005416,
          51.99530414137473,
          51.91172295815917,
          51.823563044208754,
          51.73082517198702,
          51.63350932494075,
          51.53161469611727,
          51.42513968602737,
          51.31408189974555,
          51.19843814323323,
          51.07820441888776,
          50.953375920292736,
          50.823947026163445,
          50.68991129346658,
          50.55126144970098,
          50.40798938431179,
          50.26008613922551,
          50.107541898471816,
          49.950345976871425,
          49.78848680775321,
          49.62195192967686,
          49.45072797211729,
          49.274800640075,
          49.09415469757283,
          48.90877394998733,
          48.718641225173286,
          48.52373835332127,
          48.32404614549399,
          48.11954437078003,
          47.91021173199293,
          47.69602583984977,
          47.47696318554622,
          47.25299911164437,
          47.02410778118669,
          46.79026214492831,
          46.55143390659142,
          46.30759348602163,
          46.0587099801224,
          45.804751121435594,
          45.545683234223496,
          45.28147118788884,
          45.012078347573755,
          44.737466521743585,
          44.45759590655777,
          44.17242502681725,
          43.88191067323921,
          43.5860078358169,
          43.28466963297253,
          42.977847236205896,
          42.6654897899015,
          42.34754432593326,
          42.02395567266823,
          41.69466635793243,
          41.35961650546226,
          41.0187437243162,
          40.67198299067166,
          40.31926652136914,
          39.96052363850553,
          39.59568062430271,
          39.2246605653954,
          38.84738318559167,
          38.46376466605224,
          38.07371745171921,
          37.67715004269617,
          37.273966769118076,
          36.86406754789208,
          36.447347619485896,
          36.02369726272016,
          35.59300148526051,
          35.155139687218984,
          34.70998529492849,
          34.25740536156704,
          33.7972601308528,
          33.3294025595061,
          32.853677793559136,
          32.36992259288042,
          31.877964697435136,
          31.377622127808344,
          30.868702411353567,
          30.351001723924732,
          29.824303935500385,
          29.288379546009946,
          28.742984495288525,
          28.187858828185107,
          27.622725192343378,
          27.04728714186574,
          26.461227214801717,
          25.86420474586822,
          25.25585336767795,
          24.635778143569976,
          24.003552262270794,
          23.35871320825339,
          22.70075830064452,
          22.02913946634295,
          21.343257077434682,
          20.642452635997472,
          19.92600002657812,
          19.193094971655814,
          18.442842208892603,
          17.67423974686423,
          16.88615932677659,
          16.077321887823828,
          15.246266349766453,
          14.486706536804203,
          13.703697587780868,
          13.034213397896576,
          12.343849460077104,
          11.752444133509163,
          11.14380048986407,
          10.62167734022724,
          10.085256587355957,
          9.624063187753418,
          9.15112314892081,
          8.743603833512445,
          8.326484079734197,
          7.967254915027061,
          7.6001919515554155,
          7.284873090991364,
          6.963206359697003,
          6.688593854045913,
          6.408898148089092,
          6.17343182464963,
          5.933979243750061,
          5.73940634425282,
          5.566649831456614,
          5.422766163308099,
          5.2772685086079925,
          5.130615200546904,
          4.966817841078384,
          4.7916418371112,
          4.609267657424183,
          4.42254200119383,
          4.2335381208994285,
          4.042375567492619,
          3.848960188669333,
          3.653190156006071,
          3.454955091153598,
          3.2786132595832327,
          3.1001870604341497,
          2.919581384197804,
          2.7558925232186544,
          2.590293545205975,
          2.422699089830881,
          2.2733366630348106,
          2.122250149176753,
          1.9694055709240061,
          1.8349424946874209,
          1.6989556449469931,
          1.561474304241503,
          1.44176763856145,
          1.3207600453494708,
          1.1985292652025183,
          1.092993435112278,
          0.9863881767752276,
          0.8788265406665883,
          0.7866145233143986,
          0.6935632979860519,
          0.6094136886492064,
          0.5246199763617344,
          0.4481477818803316,
          0.3711713203773676,
          0.30193301786345,
          0.2323242524164394,
          0.16987834068283622,
          0.10718945590925724,
          0.051102811636716046,
          -0.005105660920129169,
          -0.055252995703394724,
          -0.10540720399433594,
          -0.15001848386488906,
          -0.19452756495790932,
          -0.23398677667501114,
          -0.2732401645148767,
          -0.3079102098099729,
          -0.34227570615891456,
          -0.37249714151718666,
          -0.40231955127147634,
          -0.42840971891995483,
          -0.45400987478864807,
          -0.4762622719780148,
          -0.49793628443559934,
          -0.5166200175018003,
          -0.5346385818078566,
          -0.5499977329601569,
          -0.5646052998141806,
          -0.5768579884513224,
          -0.5882715468281202,
          -0.5976083741287374,
          -0.606015479847435,
          -0.6125968653813414,
          -0.6181523271942738,
          -0.6221038936461539,
          -0.6249240925715509,
          -0.62632853833908,
          -0.6264814648565118,
          -0.6251658999311888,
          -0.6226673184515182,
          -0.6186802676697962,
          -0.6129521682550098,
          -0.6062577253280161,
          -0.59771446421214,
          -0.5870096435808747,
          -0.5756560642060313,
          -0.5619864021329707,
          -0.5489048802426508,
          -0.5353894243903672,
          -0.5216217113347666,
          -0.5061314046549005,
          -0.4920750565773252,
          -0.4765704943458203,
          -0.4623119519877549,
          -0.4468567622968264,
          -0.43246038478120785,
          -0.4170604375323739,
          -0.40251114450908154,
          -0.38710822256595917,
          -0.37085248733910486,
          -0.3558251182222429,
          -0.3401003600751197,
          -0.3236919629466327,
          -0.3066041215221487,
          -0.28884746856185994,
          -0.27025989890691615,
          -0.25084818754844823,
          -0.23514905933909905,
          -0.2212804476423348,
          -0.2089808045865834,
          -0.19849815401172563,
          -0.18788178552075396,
          -0.17714766658161837,
          -0.1653672356383938,
          -0.15247663401224293,
          -0.13877229345115905,
          -0.12474723245587635,
          -0.11060379726314153,
          -0.09623922825247452,
          -0.07941789656805655,
          -0.06007355131997215,
          -0.037037869947778676,
          -0.012402512721576556,
          0.012261443561022154,
          0.03689957521494412,
          0.06146348006786279,
          0.08591085581121301,
          0.11020536067149805,
          0.13431631201008987,
          0.1591906162702411,
          0.1850274586123973,
          0.2119803503016554,
          0.24020720417864952,
          0.2698660646218758,
          0.30111715616788426,
          0.33411752049387583,
          0.36901260792365714,
          0.40592606199108844,
          0.44495112611094756,
          0.4861478600056955,
          0.5295470955891847,
          0.5751553400590264,
          0.622950997168017,
          0.672867867062198,
          0.7247789602617712,
          0.7785013205177398,
          0.8338145334773996,
          0.8905125018975903,
          0.9484446735602372,
          1.0075304628568054,
          1.0677510741425547,
          1.1291325262408176,
          1.1917295886244352,
          1.2556140304337873,
          1.3208670929816768,
          1.3875750524053723,
          1.4558267745235103,
          1.525712471708328,
          1.5973231569901007,
          1.6707504908801918,
          1.7460868429542453,
          1.823425466012108,
          1.9028607252098417,
          1.9844883501568262,
          2.0684056927781884,
          2.1547119821231115,
          2.2435085720829524,
          2.334899180567006,
          2.4289901201693755,
          2.5258905210454685,
          2.6257125470897975,
          2.7285716065468377,
          2.8345865582847103,
          2.943879914773944,
          3.056578042834174,
          3.1728113629845973,
          3.292714548246134,
          3.416426723047072,
          3.544091662797175,
          3.675857994700892,
          3.8118794001308647,
          3.9523148190154713,
          4.097328656388969,
          4.24709099139886,
          4.401777788861375,
          4.561571113422719,
          4.7266593463642685,
          4.8972374049260505,
          5.073506964132182,
          5.255676680716147,
          5.443962419067852,
          5.638587478683854,
          5.839782822681667,
          6.047787306888128,
          6.262847908710539,
          6.4852199550597485,
          6.715167348330879,
          6.952962789384458,
          7.198887996250714,
          7.45323391703404,
          7.716300935387829,
          7.988399066592066,
          8.269848142003186,
          8.560977979389897,
          8.862128536181094,
          9.173650042409841,
          9.49590310948905,
          9.829258810617949,
          10.174098727830122,
          10.530814960214734,
          10.899810086742784,
          11.28149707664709,
          11.676299138867549,
          12.084649501151214,
          12.506991107764328,
          12.943776223492536,
          13.395465929455815,
          13.862529494246314,
          14.345443601301568,
          14.844691410560536,
          15.360761428842633,
          15.894146159271514,
          16.44534049541303,
          17.014839819829835,
          17.60313775947567,
          18.210723543029413,
          18.838078893856146,
          19.48567438139544,
          20.153965137904404,
          20.843385829827245,
          21.554344749949863,
          22.287216868626288,
          23.00784142322865,
          23.701068721649975,
          24.368941396502102,
          25.013235610263614,
          25.63550801778263,
          26.237132517323463,
          26.819329389746283,
          27.38318867592957,
          27.92968913223767,
          28.45971374959422,
          28.974062571528222,
          29.473463367026927,
          29.958580583329844,
          30.430022907405483,
          30.88834969285857,
          31.334076454666864,
          31.767679592689234,
          32.189600472926436,
          32.60024897070429,
          33.000006560475825,
          33.389229021571516,
          33.768248816993356,
          34.13737719254266,
          34.49690603566345,
          34.84710952697746,
          35.18824561223339,
          35.520557318117646,
          35.844273931805105,
          36.159612061209316,
          36.4667765904336,
          36.765961542881506,
          37.05735086275728,
          37.34111912424875,
          37.61743217644355,
          37.88644773099177,
          38.14831589863908,
          38.40317967998269,
          38.65117541515742,
          38.892433196597295,
          39.12707724851425,
          39.355226276335934,
          39.57699378896255,
          39.79248839638865,
          40.0018140849558,
          40.205070472262314,
          40.40235304353571,
          40.59375337108833,
          40.779359318309865,
          40.959255229508585,
          41.13352210677304,
          41.302237774920805,
          41.46547703549431,
          41.62331181067134,
          41.77581127787918,
          41.923041995829344,
          42.06506802261963,
          42.201951026500424,
          42.3337503898399,
          42.46052330678506,
          42.58232487506766,
          42.69920818236645,
          42.81122438760256,
          42.918422797518694,
          43.02085093885279,
          43.11855462640724,
          43.21157802727326,
          43.29996372146573,
          43.383752759193676,
          43.46298471497438,
          43.537697738794144,
          43.6079286044823,
          43.67371275548058,
          43.73508434814563,
          43.792076292742834,
          43.844720292251175,
          43.89304687910863,
          43.93708545000948,
          43.97686429886388,
          44.01241064800675,
          44.0437506777622,
          44.070909554436696,
          44.09391145682392,
          44.11277960129918,
          44.1275362655618,
          44.13820281109972,
          44.14479970442979,
          44.14734653716872,
          44.14586204498718,
          44.14036412549836,
          44.130869855116345,
          44.11739550493518,
          44.09995655566198,
          44.078567711640275,
          44.05324291399464,
          44.02399535293251,
          43.990837479224815,
          43.953781014896784,
          43.91283696314741,
          43.868015617524996,
          43.819326570373946,
          43.76677872057408,
          43.71038028058652,
          43.650138782822715,
          43.58606108534643,
          43.51815337692819,
          43.44642118144761,
          43.37086936166776,
          43.29150212237943,
          43.20832301292049,
          43.12133492908031,
          43.03054011438497,
          42.93594016077259,
          42.837536008645834,
          42.73532794631807,
          42.6293156088329,
          42.51949797616305,
          42.40587337078007,
          42.28843945458423,
          42.16719322519572,
          42.042131011580004,
          41.91324846901384,
          41.78054057336521,
          41.644001614677265,
          41.50362519003655,
          41.359404195710155,
          41.21133081852499,
          41.05939652647313,
          40.90359205850942,
          40.7439074135206,
          40.58033183843511,
          40.41285381543484,
          40.24146104823908,
          40.06614044742237,
          39.88687811471882,
          39.70365932627316,
          39.51646851478993,
          39.32528925052249,
          39.13010422105244,
          38.93089520979261,
          38.72764307314841,
          38.52032771626809,
          38.30892806730267,
          38.09342205009565,
          37.87378655520223,
          37.64999740915785,
          37.4220293418708,
          37.1898559520444,
          36.9534496704864,
          36.71278172118929,
          36.46782208002441,
          36.21853943089795,
          35.96490111919763,
          35.706873102342605,
          35.44441989723856,
          35.1775045244122,
          34.906088448594225,
          34.63013151547739,
          34.34959188437679,
          34.064425956473904,
          33.774588298298326,
          33.48003156007953,
          33.18070638855483,
          32.876561333779584,
          32.567542749440165,
          32.2535946861236,
          31.93465877693818,
          31.610674114807786,
          31.28157712070457,
          30.947301401991954,
          30.60777759996049,
          30.262933225537438,
          29.912692482032202,
          29.556976073645522,
          29.1957009983115,
          28.828780323276998,
          28.4561229416201,
          28.07763330766875,
          27.69321114903243,
          27.302751152643516,
          26.90614262185619,
          26.503269101238818,
          26.094007965210753,
          25.678229966130015,
          25.2557987367647,
          24.826570241320756,
          24.390392168273017,
          23.947103257171975,
          23.49653255029837,
          23.038498558492837,
          22.57280832862306,
          22.099256397900437,
          21.61762361752512,
          21.127675824797556,
          20.629162338726474,
          20.121814249095383,
          19.605342462632198,
          19.07943546202735,
          18.54375672355534,
          17.997941726378954,
          17.4415944703275,
          16.87428339789567,
          16.29553658868265,
          15.704836058194463,
          15.101610944442962,
          14.485229300303082,
          13.972116751583249,
          13.445932219626865,
          13.008584404235346,
          12.608011151850581,
          12.249362175564903,
          11.941718717417,
          11.666335222843195,
          11.388056221824579,
          11.07265130532563,
          10.72987379655883,
          10.369588236928369,
          9.99832333735628,
          9.620734317147667,
          9.23730475026002,
          8.84775939067355,
          8.451796155265047,
          8.0490821530574,
          7.692775702081843,
          7.3308080660385455,
          6.962883850394971,
          6.630568714058314,
          6.292992804977258,
          5.9499183950772325,
          5.6454280321198365,
          5.336088377161167,
          5.021830491825899,
          4.746596626376894,
          4.467012614572178,
          4.183141142326873,
          3.937045643065785,
          3.6871384155096902,
          3.459268916011095,
          3.2280715678957765,
          3.0179154051123827,
          2.8047831529195486,
          2.6115838748974634,
          2.415747003671484,
          2.238673361889621,
          2.0592846088129098,
          1.8974616326301248,
          1.7336283479671977,
          1.586161294952165,
          1.4369701780643789,
          1.3029628279661751,
          1.1674988118239376,
          1.0460672864141245,
          0.9234277953149768,
          0.8137108334134597,
          0.7030163775988322,
          0.6041828026590694,
          0.5045846742051024,
          0.4158386431382531,
          0.32652432304570117,
          0.2471088282418289,
          0.1673055936964712,
          0.09650459790582952,
          0.02548172246538877,
          -0.037378767496540406,
          -0.10030890431297079,
          -0.15586057794459082,
          -0.21134221629586805,
          -0.2601748139444056,
          -0.30880916795805174,
          -0.3514712871676686,
          -0.3938173600973264,
          -0.4308175811899061,
          -0.46739330426710446,
          -0.4992015256393599,
          -0.5304851069716116,
          -0.5575339978029219,
          -0.5839653850231745,
          -0.6066518747667761,
          -0.6286342466060426,
          -0.6473209767551504,
          -0.665222183992997,
          -0.6802388473551162,
          -0.6943927219094408,
          -0.7060372062940984,
          -0.7167446462982441,
          -0.7252838797997345,
          -0.7328135944416951,
          -0.7384839521857985,
          -0.7430727054042477,
          -0.746079771271542,
          -0.7479318843457166,
          -0.748449244305187,
          -0.747734977848033,
          -0.745901513060685,
          -0.7427536988240331,
          -0.7386684694756082,
          -0.7331763061415079,
          -0.7268894435554687,
          -0.7190875465717883,
          -0.7105845461246092,
          -0.7004340592770589,
          -0.6883786404122239,
          -0.6762296022703232,
          -0.6621384465991224,
          -0.6458124505464606,
          -0.629609166079293,
          -0.6110531968075998,
          -0.5931299995343956,
          -0.5728420467212162,
          -0.5547657766824046,
          -0.5346673048131437,
          -0.5168933625121565,
          -0.4974961989085314,
          -0.48011811424527356,
          -0.46143189729496165,
          -0.4444348882447788,
          -0.42636998159164774,
          -0.4096611813302865,
          -0.3920675192693437,
          -0.37359969352121863,
          -0.35698207660782866,
          -0.33966586652616426,
          -0.32167427565952633,
          -0.303010143268362,
          -0.28368279403887825,
          -0.2637086336626633,
          -0.2427112874783997,
          -0.22373216638272758,
          -0.20734077970390033,
          -0.19258467948862018,
          -0.17921440738526082,
          -0.16732569530576186,
          -0.15760569156741924,
          -0.14780776825449732,
          -0.13681864636242866,
          -0.12450135663803293,
          -0.1120957021689704,
          -0.09894158369822231,
          -0.08402672500348675,
          -0.06758185006360569,
          -0.04942407047738885,
          -0.02899636960497124,
          -0.004886450969625501,
          0.02026749197341862,
          0.04537562311062501,
          0.0703858255921935,
          0.09525214081834499,
          0.11993482681631959,
          0.14440019710652233,
          0.1686480219491554,
          0.19364489739731858,
          0.21952338639863628,
          0.24642695515581226,
          0.2744972191081186,
          0.30388003461563545,
          0.3347263367336243,
          0.3671914776159371,
          0.40143301341869075,
          0.4376067986208596,
          0.4758609428953423,
          0.5163260058378012,
          0.5590970956312474,
          0.6042005941080507,
          0.6515429886228618,
          0.7008665428996491,
          0.7517751159759392,
          0.8038632068285569,
          0.85681969981662,
          0.9104736714125586,
          0.9647694183596284,
          1.0197239434331777,
          1.0753933234698472,
          1.131852071531716,
          1.189181976336471,
          1.2474665572794916,
          1.3067885535421457,
          1.36722897173741,
          1.4288669029236383,
          1.4917797002315503,
          1.5560433096350168,
          1.6217326508508538,
          1.6889219990522026,
          1.7576853455036547,
          1.8280967290158345,
          1.9002305368403933,
          1.9741617767821964,
          2.049966323543658,
          2.1277211427087304,
          2.20750449559446,
          2.2893961279836246,
          2.3734774453320155,
          2.4598316767247117,
          2.5485440294993573,
          2.639701836159446,
          2.7333946949416426,
          2.829714605198812,
          2.9287560985421734,
          3.03061636650455,
          3.135395385447622,
          3.243196039154389,
          3.3541242396036375,
          3.4682890462239415,
          3.5858027838845534,
          3.706781159806837,
          3.8313433794964844,
          3.959612261727602,
          4.091714352592214,
          4.227780038482315,
          4.3679436579039965,
          4.51234361194231,
          4.661122473029438,
          4.814427091763727,
          4.972408701363679,
          5.13522301926008,
          5.303030345301517,
          5.475995655943779,
          5.654288693675925,
          5.8380840508429115,
          6.027561246997868,
          6.222904798642121,
          6.424304280217955,
          6.631954374960128,
          6.8460549141658245,
          7.066810903156019,
          7.2944325320105445,
          7.529135169023843,
          7.771139334473301,
          8.02067065203921,
          8.277959774929089,
          8.543242283358593,
          8.816758549726746,
          9.098753567174166,
          9.389476737074165,
          9.689181610023661,
          9.998125574514615,
          10.316569486679134,
          10.644777233713231,
          10.983015222514071,
          11.331551784191332,
          11.690656483723807,
          12.060599322731894,
          12.44164982174378,
          12.834075966398407,
          13.238143000097036,
          13.654112042928036,
          14.082238513962233,
          14.522770330787637,
          14.975945856183738,
          15.441991557187947,
          15.921119336772769,
          16.41352349156786,
          16.919377242319154,
          17.438828773618983,
          17.97199671011992,
          18.518964942203077,
          19.079776699123652,
          19.645300028235056,
          20.18837412465962,
          20.71066820657912,
          21.213636099175538,
          21.69855372355624,
          22.166548540573253,
          22.61862297059037,
          23.055673235214257,
          23.478504673101227,
          23.88784430703305,
          24.28435124434925,
          24.668625352209833,
          25.041214546399843,
          25.4026209563121,
          25.75330617175351,
          26.093695734074313,
          26.424183001090924,
          26.745132489785465,
          27.05688278089876,
          27.35974905392846,
          27.654025308701012,
          27.93998631983196,
          28.217889362494542,
          28.487975741526263,
          28.750472150723066,
          29.00559188492056,
          29.25353592398764,
          29.494493904975094,
          29.728644996274028,
          29.95615868564986,
          30.17719549234704,
          30.391907612064603,
          30.600439502406935,
          30.80292841542277,
          30.999504882987182,
          31.190293160048803,
          31.375411630152225,
          31.554973177092762,
          31.729085526117387,
          31.897851557671576,
          32.06136959635466,
          32.21973367744137,
          32.37303379306498,
          32.52135611993328,
          32.66478323024214,
          32.80339428727745,
          32.937265227041195,
          33.066468927106456,
          33.19107536377413,
          33.311151758505865,
          33.42676271450981,
          33.53797034427755,
          33.64483438877845,
          33.74741232897548,
          33.84575949024692,
          33.939929140248516,
          34.02997258071408,
          34.11593923363276,
          34.19787672221804,
          34.27583094703105,
          34.349846157610216,
          34.41996501991193,
          34.486228679848644,
          34.54867682319578,
          34.6073477320988,
          34.662278338409315,
          34.71350427405663,
          34.7610599186366,
          34.80497844439929,
          34.845291858794226,
          34.882031044724016,
          34.91522579863708,
          34.94490486660009,
          34.97109597845461,
          34.993825880179145,
          35.01312036455025,
          35.02900430020045,
          35.041501659164005,
          35.0506355429844,
          35.05642820746919,
          35.058901086153945,
          35.05807481254647,
          35.05396924120974,
          35.046603467743985,
          35.03599584772004,
          35.02216401460759,
          35.00512489675377,
          34.98489473344618,
          34.961489090112615,
          34.93492287267678,
          34.905210341123016,
          34.872365122290525,
          34.836400221929864,
          34.7973280360543,
          34.755160361604815,
          34.70990840645742,
          34.66158279879309,
          34.61019359585296,
          34.55575029209241,
          34.49826182675981,
          34.43773659090786,
          34.3741824338579,
          34.30760666912321,
          34.23801607981429,
          34.16541692352374,
          34.08981493670986,
          34.01121533858394,
          33.92962283450708,
          33.845041618905476,
          33.757475377705006,
          33.666927290292776,
          33.57340003100706,
          33.47689577015638,
          33.37741617456913,
          33.27496240767436,
          33.1695351291086,
          33.06113449385233,
          32.949760150884494,
          32.835411241359026,
          32.71808639628849,
          32.597783733736314,
          32.47450085550377,
          32.34823484330106,
          32.218982254399045,
          32.08673911674101,
          31.951500923507208,
          31.81326262711179,
          31.67201863262063,
          31.527762790569945,
          31.380488389163045,
          31.23018814582753,
          31.07685419810938,
          30.920478093873893,
          30.76105078078867,
          30.59856259506099,
          30.43300324939111,
          30.264361820111322,
          30.092626733468958,
          29.917785751017103,
          29.739825954059587,
          29.55873372711597,
          29.37449474033707,
          29.18709393083241,
          28.996515482837296,
          28.802742806657612,
          28.605758516324446,
          28.405544405877365,
          28.202081424194922,
          27.995349648288318,
          27.785328254949185,
          27.57199549066149,
          27.35532863964864,
          27.135303989945918,
          26.91189679734807,
          26.68508124710213,
          26.454830413171813,
          26.221116214910726,
          25.983909370945174,
          25.743179350067088,
          25.498894318909496,
          25.251021086150452,
          24.999525042982384,
          24.744370099541857,
          24.485518616977213,
          24.22293133479162,
          23.956567293061354,
          23.686383749092872,
          23.412336088038355,
          23.134377726922935,
          22.852460011496312,
          22.56653210524534,
          22.276540869824256,
          21.982430736092752,
          21.684143564836496,
          21.381618496140867,
          21.074791786273142,
          20.763596630768568,
          20.447962972266147,
          20.127817291441364,
          19.803082379169528,
          19.47367708779406,
          19.139516059099513,
          18.800509426218078,
          18.456562486332118,
          18.10757534054694,
          17.753442496764947,
          17.394052430754474,
          17.029287099823698,
          16.659021402608644,
          16.283122577393673,
          15.90144953007278,
          15.513852081276804,
          15.120170120302532,
          14.720232651129358,
          14.31385671298757,
          13.900846154427034,
          13.480990235505304,
          13.05406202732206,
          12.619816571352938,
          12.17798875249866,
          11.728290828923456,
          11.270409547858293,
          10.804002758633743,
          10.328695410939872,
          9.844074795817164,
          9.349684846674215,
          8.84501926420282,
          8.329513157679859,
          7.858206993376263,
          7.376198366064555,
          6.9437487139789935,
          6.501812437148383,
          6.105994854279662,
          5.701914984689405,
          5.340566669891839,
          4.972046805643799,
          4.642967902899507,
          4.307688823344336,
          4.008691331701301,
          3.704358506251844,
          3.4333014713536527,
          3.1576789863541537,
          2.9124932857771975,
          2.6634274246604788,
          2.4421325976462147,
          2.2175675554027525,
          2.01828257629217,
          1.8162702194146296,
          1.6372196874734495,
          1.4559248334862749,
          1.2954417213472362,
          1.1331440755172515,
          0.9896699217388416,
          0.844763549576077,
          0.7168467812468552,
          0.5878377940955464,
          0.4741307098959237,
          0.3596336855333711,
          0.25888850853142575,
          0.1576220478911412,
          0.06868636268600052,
          -0.020531910396856444,
          -0.09872009533483471,
          -0.176978857287056,
          -0.24539623880415123,
          -0.3136959352773369,
          -0.37323909784750786,
          -0.4324974253569601,
          -0.48398797292724355,
          -0.535045274247979,
          -0.5792348349674546,
          -0.622859335554878,
          -0.6604343833194151,
          -0.697327216024728,
          -0.7289136683478972,
          -0.7597136486336332,
          -0.7858812117169575,
          -0.8111693363868823,
          -0.8324355761597679,
          -0.8527392258588152,
          -0.869573348534365,
          -0.8853701784254273,
          -0.8981965059585937,
          -0.9099180100030155,
          -0.9191191345991797,
          -0.9271538666676971,
          -0.9330734636941759,
          -0.9377698926300644,
          -0.9407151618845492,
          -0.9423841263769572,
          -0.942627815828303,
          -0.9415445263871097,
          -0.9393264669970054,
          -0.9357319726009327,
          -0.9312600122039798,
          -0.9253620018565081,
          -0.9188121610418231,
          -0.9107848944246989,
          -0.9023004626947766,
          -0.892283500893679,
          -0.881972624448093,
          -0.8700678330913031,
          -0.8579988957484879,
          -0.8442648898771975,
          -0.8304587126457599,
          -0.8149015584439776,
          -0.7993197155356226,
          -0.7818789377043125,
          -0.7644118696150936,
          -0.7449457486702546,
          -0.7232001753755016,
          -0.7025830221941117,
          -0.6796451357335536,
          -0.6572459576275909,
          -0.632413507049602,
          -0.6095688139330959,
          -0.5844094356812085,
          -0.5622071172546333,
          -0.538053155908775,
          -0.5168342344482818,
          -0.4940444824153035,
          -0.47383970568636286,
          -0.4523798910904903,
          -0.4330598321124088,
          -0.41273066702895067,
          -0.3940732405246293,
          -0.3745921805993204,
          -0.3543107362616662,
          -0.33607262161242185,
          -0.317194273246802,
          -0.2977040367706048,
          -0.2776098136993546,
          -0.2569257335444248,
          -0.2356726301071496,
          -0.21172412905282337,
          -0.1929766008603216,
          -0.17624650159414237,
          -0.16096259029007887,
          -0.1454862855025317,
          -0.13292629045799106,
          -0.12220109044740608,
          -0.11141138440303998,
          -0.10056415435418557,
          -0.08809180862681118,
          -0.07421167254401492,
          -0.059022068436252004,
          -0.04246057599989602,
          -0.024298807273868055,
          -0.004031613874507319,
          0.019537424318590447,
          0.04570971807259935,
          0.07177002327043558,
          0.09766264781006327,
          0.12333888846724304,
          0.1487571386537577,
          0.17388272117434225,
          0.19868751282243638,
          0.22349090150990297,
          0.24908419788136724,
          0.275580685314888,
          0.30310658370873406,
          0.33179146323352804,
          0.36177123363193525,
          0.39319042001320686,
          0.4262043068482306,
          0.46098081616767483,
          0.49770095207367454,
          0.5365536445416306,
          0.5777132947615541,
          0.6212742844829535,
          0.6671140028656183,
          0.7147499073673352,
          0.7634469824854867,
          0.8126090217330214,
          0.8619550419203628,
          0.9114315927235425,
          0.9610915550266804,
          1.0110249925803825,
          1.0613296857168728,
          1.1121002831356783,
          1.1634250557745305,
          1.2153855490163579,
          1.2680572441650448,
          1.3215104912224276,
          1.3758114364561036,
          1.4310228522073527,
          1.4872048485622824,
          1.544415473260173,
          1.6027112145849831,
          1.6621474231951283,
          1.7227786673102572,
          1.7846590335668795,
          1.8478423835882698,
          1.9123825744256893,
          1.9783336494569943,
          2.0457500049753197,
          2.114686536683658,
          2.1851987695203086,
          2.2573429735108785,
          2.331176267882686,
          2.4067567151838225,
          2.4841434069177466,
          2.5633965417797495,
          2.6445774974896805,
          2.727748896966387,
          2.8129746694253934,
          2.9003201068717006,
          2.9898519163837896,
          3.0816382683655936,
          3.1757488410440584,
          3.272254861240752,
          3.371229141488682,
          3.472746113439218,
          3.5768818575194143,
          3.683714128652413,
          3.7933223779019998,
          3.9057877697443772,
          4.021193194701469,
          4.139623277011342,
          4.261164376879573,
          4.385904586912769,
          4.513933722212545,
          4.645343303513817,
          4.7802265328114455,
          4.918678260729052,
          5.060794944857204,
          5.206674598248553,
          5.356416727115741,
          5.510122256746859,
          5.667893444512639,
          5.8298337787769485,
          5.996047862407345,
          6.166641279419153,
          6.3417204432809875,
          6.521392425100036,
          6.705764759948764,
          6.894945229295031,
          7.08904161737057,
          7.288161439206256,
          7.49241163775964,
          7.701898247373142,
          7.916726020672553,
          8.136998015600819,
          8.362815139196268,
          8.594275644367602,
          8.83147457551301,
          9.074503158786168,
          9.323448132101621,
          9.578391010027875,
          9.839407277914324,
          10.106565509505986,
          10.379926401752408,
          10.659541719998233,
          10.945453146450374,
          11.237691024160839,
          11.536272988392211,
          11.84120247663198,
          12.15246710813211,
          12.4700369231613,
          12.79386247198009,
          13.123872742749825,
          13.459972917420147,
          13.802041944267428,
          14.149929915391137,
          14.50345523745802,
          14.862401583870055,
          15.226514616922714,
          15.595498468591545,
          15.969011969248927,
          16.34666461471673,
          16.716957775466994,
          17.072406855592554,
          17.413993728397152,
          17.74258740942429,
          18.05896159889267,
          18.36380884940262,
          18.657752121836047,
          18.94135429628702,
          19.215126064781707,
          19.47953253096526,
          19.7349987673148,
          19.98191452490549,
          20.22063824898661,
          20.45150052184672,
          20.674807030055092,
          20.890841134259237,
          21.09986610494034,
          21.30212707588958,
          21.497852757927596,
          21.687256948003974,
          21.87053986287396,
          22.047889321737987,
          22.21948179831302,
          22.38548335959607,
          22.54605050594588,
          22.70133092491314,
          22.85146416944567,
          22.996582269570318,
          23.13681028538867,
          23.27226680814655,
          23.403064415237136,
          23.529310084229703,
          23.651105570360112,
          23.768547751357453,
          23.881728943015,
          23.990737188483394,
          24.095656523923964,
          24.196567222846387,
          24.293546021190476,
          24.386666324975792,
          24.475998402146843,
          24.56160956005919,
          24.643564309902086,
          24.721924519211885,
          24.79674955351675,
          24.86809640804257,
          24.936019830315246,
          25.000572434421024,
          25.061804807600442,
          25.1197656098006,
          25.174501666731032,
          25.226058056946837,
          25.274478193402945,
          25.319803899908994,
          25.362075482862448,
          25.401331798605128,
          25.437610316720757,
          25.470947179573702,
          25.501377258337374,
          25.52893420577282,
          25.55365050596617,
          25.57555752124433,
          25.594685536446914,
          25.611063800731063,
          25.624720567075524,
          25.635683129620155,
          25.64397785898625,
          25.649630235701938,
          25.65266488184692,
          25.653105591025298,
          25.65097535676867,
          25.64629639945827,
          25.63909019185268,
          25.629377483307845,
          25.617178322751254,
          25.602512080492478,
          25.58539746892135,
          25.565852562164793,
          25.543894814750445,
          25.519541079331244,
          25.492807623522694,
          25.463710145888964,
          25.432263791129753,
          25.398483164501503,
          25.36238234551157,
          25.32397490091531,
          25.283273897058518,
          25.240291911580496,
          25.195041044516113,
          25.14753292882046,
          25.097778740340146,
          25.04578920725062,
          24.99157461898423,
          24.935144834670904,
          24.876509291100763,
          24.815677010236037,
          24.752656606284475,
          24.68745629234331,
          24.620083886635946,
          24.550546818349137,
          24.478852133082135,
          24.40500649792134,
          24.329016206148307,
          24.25088718159039,
          24.170624982620073,
          24.088234805813794,
          24.003721489275122,
          23.917089515627744,
          23.82834301468261,
          23.737485765788367,
          23.644521199858655,
          23.549452401092072,
          23.452282108376526,
          23.353012716385084,
          23.25164627636241,
          23.148184496599608,
          23.04262874260583,
          22.934980036963644,
          22.825239058876864,
          22.71340614339959,
          22.59948128034986,
          22.4834641129015,
          22.365353935846784,
          22.245149693533413,
          22.1228499774557,
          21.998453023505075,
          21.871956708869302,
          21.74335854856425,
          21.612655691597684,
          21.479844916750196,
          21.344922627960404,
          21.20788484930814,
          21.068727219567243,
          20.927444986330556,
          20.784032999677454,
          20.638485705374027,
          20.490797137578365,
          20.340960911035353,
          20.188970212741232,
          20.034817793045683,
          19.87849595616886,
          19.719996550107343,
          19.55931095589136,
          19.396430076168727,
          19.23134432306946,
          19.06404360532334,
          18.894517314581133,
          18.722754310892423,
          18.54874290730237,
          18.372470853500488,
          18.193925318476886,
          18.013092872116424,
          17.8299594656664,
          17.644510411006113,
          17.45673035864269,
          17.26660327434033,
          17.074112414301627,
          16.8792402987918,
          16.681968684101882,
          16.482278532733297,
          16.280149981669357,
          16.07556230860252,
          15.868493895953451,
          15.658922192523773,
          15.446823672596773,
          15.232173792279628,
          15.014946942880842,
          14.795116401067908,
          14.572654275552527,
          14.347531450005766,
          14.119717521888402,
          13.889180736840311,
          13.655887918244165,
          13.419804391531628,
          13.180893902765327,
          12.939118530957948,
          12.694438593565147,
          12.446812544496671,
          12.19619686393538,
          11.942545939168692,
          11.68581193555647,
          11.425944656649476,
          11.162891392372986,
          10.896596754062442,
          10.627002495008812,
          10.35404731501817,
          10.07766664733563,
          9.797792426103877,
          9.51435283235194,
          9.22727201631856,
          8.936469793731398,
          8.641861313506853,
          8.343356694197787,
          8.040860626493377,
          7.734271939147456,
          7.423483126055672,
          7.108379832882386,
          6.78884030294911,
          6.464734784358431,
          6.1359249041377195,
          5.802263021480739,
          5.463591582472937,
          5.119742515562488,
          4.7705367347874805,
          4.415783863812829,
          4.055282371278906,
          3.6888204404961553,
          3.3614400043818575,
          3.0279499250867623,
          2.7368211053785214,
          2.4406182911638594,
          2.1821071601629676,
          1.9195745831722977,
          1.6905565616671911,
          1.4584026137180937,
          1.256016834364151,
          1.051243474876884,
          0.8728781453678299,
          0.6927597791324529,
          0.5360358862855957,
          0.37809839948460905,
          0.24085298362825494,
          0.10285344633088626,
          -0.01687696253452597,
          -0.13696962956903064,
          -0.24096504059782384,
          -0.3449882677722775,
          -0.43486049631933343,
          -0.5244750559872624,
          -0.6016821006922694,
          -0.6783878650413909,
          -0.744247333033666,
          -0.8093978153363118,
          -0.8650993780102508,
          -0.9199150977378961,
          -0.9665319887563167,
          -1.0121127159287395,
          -1.0506123018936318,
          -1.0879482442504393,
          -1.1192017099477392,
          -1.1491837103181324,
          -1.173974906812647,
          -1.1974037186027249,
          -1.2164372252349611,
          -1.2340319323569815,
          -1.2479403838858198,
          -1.2603460282750225,
          -1.269696756740894,
          -1.2774912323070342,
          -1.282792270097028,
          -1.2864925367480506,
          -1.2881980230415135,
          -1.2882656883712729,
          -1.2867807157356537,
          -1.2836270250481097,
          -1.2793119562869184,
          -1.2733022235484863,
          -1.26647650066862,
          -1.257934003340292,
          -1.2488794600858673,
          -1.2380888087790363,
          -1.227052484570435,
          -1.2142624629282992,
          -1.2014588976420095,
          -1.1868847468549668,
          -1.1724977101942264,
          -1.156322803158316,
          -1.1405063756779736,
          -1.1228831835743307,
          -1.105762053706124,
          -1.0868122465152494,
          -1.0684810143709735,
          -1.0482944499850644,
          -1.028815638444951,
          -1.0074478849889703,
          -0.986848302772963,
          -0.964316258044383,
          -0.9425815930349749,
          -0.9188569915116335,
          -0.895926137119182,
          -0.8709285015904574,
          -0.8466966551513464,
          -0.820295718220023,
          -0.7946648133206065,
          -0.766736378088736,
          -0.739823916863613,
          -0.7104896889810507,
          -0.6829846494543689,
          -0.6530445230838123,
          -0.6259722537082412,
          -0.5966656319327406,
          -0.570724235031615,
          -0.5428844313216317,
          -0.5184394292962394,
          -0.49244694716053505,
          -0.46957868481461834,
          -0.44547756563674007,
          -0.4239905341584129,
          -0.40152587976350906,
          -0.38108223243653405,
          -0.35985402510333425,
          -0.3378761318343586,
          -0.31822072312419425,
          -0.2979682959136153,
          -0.27715297362520985,
          -0.25578582600213845,
          -0.2338840332891699,
          -0.2114713319721714,
          -0.18570972180662645,
          -0.16659815048001222,
          -0.14955982979591914,
          -0.13435356130755813,
          -0.12176135488096382,
          -0.10907158599218908,
          -0.09535231225378672,
          -0.08327788379568392,
          -0.07238045466804544,
          -0.06144727678580301,
          -0.04862235503051034,
          -0.03414839829787785,
          -0.018144098053088965,
          -0.000502603070290049,
          0.019144163616320216,
          0.041706255534673616,
          0.0696657850049882,
          0.09423519531358943,
          0.11860428438749822,
          0.1427325777658493,
          0.1665852945165721,
          0.19013328450029457,
          0.21378432327759334,
          0.23790671183045453,
          0.26262500274433237,
          0.28805234264299384,
          0.3142974460445298,
          0.34146947048485504,
          0.3696817139558011,
          0.3990551434075979,
          0.4297223069481885,
          0.46183204753675244,
          0.4955550666868029,
          0.5310889902775179,
          0.5686566904439633,
          0.6084760355954184,
          0.6506407780720258,
          0.6948376592070987,
          0.740150929490388,
          0.7855896738283732,
          0.8307099497069776,
          0.8754779827068734,
          0.9200037650137916,
          0.9644213520209166,
          1.008854573072404,
          1.0534107703884148,
          1.0981820510168236,
          1.143248014118426,
          1.1886783426953886,
          1.234534923932347,
          1.2808735083367986,
          1.3277449935055612,
          1.3751964192702735,
          1.423271744608546,
          1.4720124597892346,
          1.5214580733639027,
          1.5716465032192564,
          1.62261439332432,
          1.6743973722826286,
          1.7270302658376273,
          1.7805472724738811,
          1.8349821092112524,
          1.8903681329748516,
          1.9467384418471008,
          2.004125959431067,
          2.0625635050299773,
          2.122083851641549,
          2.1827197734550015,
          2.244504084132287,
          2.307469666920271,
          2.371649497374544,
          2.437076659375781,
          2.5037843548924292,
          2.571805907837145,
          2.6411747623080113,
          2.711924475353214,
          2.784088704351102,
          2.8577011890147057,
          2.932795727976188,
          3.0094061498603093,
          3.087566278660336,
          3.1673098932243398,
          3.24867068059823,
          3.331682182893817,
          3.416377737376687,
          3.502790409299139,
          3.590952917112452,
          3.680897549484219,
          3.7726560736354298,
          3.8662596343128577,
          3.9617386428240735,
          4.059122655303083,
          4.158440239519983,
          4.259718829254936,
          4.3629845653961326,
          4.468262122618458,
          4.575574520601424,
          4.684942918483963,
          4.7963863912059415,
          4.909921686250768,
          5.025562959102645,
          5.143321485588642,
          5.263205349037616,
          5.385219099984516,
          5.509363385782403,
          5.635634547230427,
          5.764024178818319,
          5.894518648722332,
          6.027098574037576,
          6.161738246038771,
          6.298404999084454,
          6.43705851580892,
          6.57765005938535,
          6.720121621887707,
          6.864404974790125,
          7.010420604444737,
          7.158076510351121,
          7.307266837857855,
          7.457870308143021,
          7.609748396052454,
          7.762743189331168,
          7.916674837856517,
          8.071338465456785,
          8.22650036236522,
          8.381893192723922,
          8.537209819597152,
          8.692095132810282,
          8.846134896283985,
          8.99883997242554,
          9.149623034365355,
          9.297762347574201,
          9.442341587906567,
          9.582869476607582,
          9.719568672900795,
          9.830301681305173,
          9.938641864180374,
          10.044688191451712,
          10.165841653217438,
          10.29953719509566,
          10.443755073456424,
          10.597291373237988,
          10.759341168761,
          10.929325644225615,
          11.106801389558015,
          11.291407371620192,
          11.482830828566598,
          11.680783326395723,
          11.884982456816429,
          12.09513663768929,
          12.310931469175788,
          12.519563596891444,
          12.718374739386977,
          12.90800094010235,
          13.08900828552238,
          13.261903277974831,
          13.427141306903355,
          13.585133628321438,
          13.736253161737473,
          13.880839340774646,
          14.019202199874135,
          14.151625839313882,
          14.278371380485403,
          14.39967950029785,
          14.515772615807832,
          14.626856776402658,
          14.733123310076175,
          14.83475026180881,
          14.931903655325197,
          15.024738604062021,
          15.11340029285331,
          15.198024848274146,
          15.278740112734877,
          15.355666335044283,
          15.428916788217052,
          15.498598323703133,
          15.564811869867956,
          15.627652881442847,
          15.687211745724367,
          15.743574150514435,
          15.796821418122615,
          15.84703080918607,
          15.894275799586902,
          15.938626333320963,
          15.980149053830813,
          16.018907516008245,
          16.05496238080774,
          16.088371594181833,
          16.119190551862786,
          16.14747225133697,
          16.173267432205908,
          16.196624706004524,
          16.217590676432195,
          16.23621005084464,
          16.25252574377191,
          16.266578973153184,
          16.278409349900166,
          16.288054961352614,
          16.29555244911547,
          16.300937081747687,
          16.304242822701358,
          16.30550239389233,
          16.304747335232587,
          16.302008060439565,
          16.297313909399772,
          16.29069319734017,
          16.282173261048833,
          16.27178050234337,
          16.259540429003287,
          16.24547769332216,
          16.229616128464414,
          16.21197878276307,
          16.19258795210827,
          16.17146521054235,
          16.148631439190474,
          16.12410685362958,
          16.097911029796396,
          16.070062928527634,
          16.04058091881828,
          16.009482799879752,
          15.976785822064802,
          15.942506706732882,
          15.9066616651215,
          15.86926641627429,
          15.830336204086917,
          15.789885813523016,
          15.747929586037932,
          15.704481434266974,
          15.659554856012699,
          15.613162947568938,
          15.565318416418044,
          15.516033593339264,
          15.465320443955209,
          15.413190579747218,
          15.359655268563506,
          15.304725444655611,
          15.248411718257262,
          15.190724384732102,
          15.131673433311553,
          15.071268555446066,
          15.009519152778664,
          14.946434344773104,
          14.882022976000888,
          14.816293623105384,
          14.749254601464528,
          14.680913971555114,
          14.611279545042866,
          14.540358890603255,
          14.46815933948425,
          14.394687990829896,
          14.319951716762302,
          14.243957167246775,
          14.166710774734797,
          14.088218758605919,
          14.00848712940776,
          13.92752169290434,
          13.845328053948283,
          13.761911620167748,
          13.67727760548839,
          13.591431033492757,
          13.50437674062133,
          13.416119379220996,
          13.326663420448712,
          13.236013157031241,
          13.144172705895192,
          13.051146010656185,
          12.956936843988757,
          12.861548809870134,
          12.764985345705304,
          12.667249724337427,
          12.568345055947855,
          12.468274289847175,
          12.367040216166203,
          12.264645467440337,
          12.161092520105367,
          12.056383695892762,
          11.950521163136658,
          11.843506937995512,
          11.735342885590109,
          11.62603072105902,
          11.515572010540309,
          11.403968172075698,
          11.291220476449011,
          11.17733004795754,
          11.062297865121382,
          10.946124761330019,
          10.828811425445444,
          10.710358402344552,
          10.590766093427407,
          10.470034757079963,
          10.348164509110694,
          10.225155323154835,
          10.101007031063807,
          9.975719323284448,
          9.849291749233107,
          9.721723717676811,
          9.593014497139935,
          9.463163216330672,
          9.332168864621185,
          9.200030292581374,
          9.066746212592768,
          8.932315199555665,
          8.796735691715984,
          8.660005991630253,
          8.522124267309202,
          8.383088553555845,
          8.242896753544077,
          8.10154664067503,
          7.959035860763248,
          7.815361934595391,
          7.670522260932379,
          7.524514120019344,
          7.377334677682191,
          7.228980990105071,
          7.079450009394113,
          6.928738590041065,
          6.776843496435767,
          6.623761411583858,
          6.469488947211466,
          6.314022655479014,
          6.157359042556953,
          5.99949458434357,
          5.8404257446816406,
          5.680148996460468,
          5.518660846077131,
          5.35595786181021,
          5.1920367067448785,
          5.026894177031436,
          4.860527246378313,
          4.692933117866021,
          4.5241092843826225,
          4.354053599225417,
          4.182764358744846,
          4.010240399279318,
          3.8364812111241364,
          3.66148707286232,
          3.4852592101446436,
          3.3077999839319214,
          3.1291131144159094,
          2.949203948336002,
          2.768079779354176,
          2.5857502336500184,
          2.402227736161408,
          2.2175280771647845,
          2.031671104541993,
          1.8446815746354501,
          1.656590204789459,
          1.467434984574322,
          1.2772628218973923,
          1.0861316270432246,
          0.894112975763,
          0.7012955473461869,
          0.5077896138857543,
          0.31373297666251276,
          0.11929892786650441,
          -0.07529290022808997,
          -0.2697614828130993,
          -0.4425498171874153,
          -0.6152496125571534,
          -0.7615856349808282,
          -0.9074549232421625,
          -1.0307994202381985,
          -1.1531653348964817,
          -1.2563147800595793,
          -1.358082519105136,
          -1.4435028228313866,
          -1.5272239820081606,
          -1.5970906042923139,
          -1.6650090922414464,
          -1.7212421643687017,
          -1.775333230154401,
          -1.819628081736776,
          -1.861631722139123,
          -1.8954854905214955,
          -1.9269352186209372,
          -1.9516701008044481,
          -1.9739178406203177,
          -1.990701454652136,
          -2.004939168903172,
          -2.014802416499374,
          -2.0220809569978395,
          -2.0259337180273036,
          -2.027179298740887,
          -2.0258242380688416,
          -2.021852861322146,
          -2.015997587044315,
          -2.0075276983905486,
          -1.9977954758734233,
          -1.985459079008056,
          -1.972398275981388,
          -1.9567507030561644,
          -1.9408431161816022,
          -1.9223716190396967,
          -1.904039811005974,
          -1.883171113785664,
          -1.862784871318212,
          -1.8398918033528222,
          -1.81777380993533,
          -1.7931811191210973,
          -1.7696119211213253,
          -1.7436013509679702,
          -1.7188236816443891,
          -1.691638379506128,
          -1.6658608914338908,
          -1.637709200010688,
          -1.611109642042295,
          -1.582168310331324,
          -1.5548961693768206,
          -1.525313001751441,
          -1.49749161123409,
          -1.4673875527610887,
          -1.4391156470893887,
          -1.4085862778682237,
          -1.3799389441462158,
          -1.34905532331193,
          -1.3200842674148845,
          -1.2888930277459567,
          -1.259626037094295,
          -1.2281485885863084,
          -1.1985880643666518,
          -1.1668187468185407,
          -1.136939291754683,
          -1.1048424270066426,
          -1.0745880528486023,
          -1.0420944614460643,
          -1.011378188939343,
          -0.9783841518031556,
          -0.9471003713961176,
          -0.9134804918379316,
          -0.8815626590351949,
          -0.8472334256166384,
          -0.8148215581312653,
          -0.7799315965796996,
          -0.7475843007661842,
          -0.7127722114862942,
          -0.68122791659315,
          -0.6473848930628051,
          -0.6171039269661598,
          -0.5848003812105408,
          -0.5561061752789789,
          -0.5256952801831076,
          -0.4989550172071737,
          -0.47080773205910603,
          -0.4461092542677376,
          -0.4202948547007869,
          -0.3973324439737402,
          -0.3734944237924876,
          -0.3517887726280305,
          -0.3293889427994199,
          -0.3063368507514298,
          -0.28550413826447063,
          -0.26415134639804766,
          -0.2423112004682199,
          -0.22000022056891724,
          -0.1972407631966097,
          -0.17232312981096023,
          -0.1516650267887116,
          -0.13446882434100532,
          -0.12044274035928863,
          -0.10631968125988174,
          -0.09078029973617562,
          -0.07472146346085931,
          -0.05858431472000055,
          -0.04533626228727368,
          -0.034372155696954745,
          -0.023391476035317414,
          -0.010715449566653266,
          0.003949184064455522,
          0.020412223552184618,
          0.03881410735759764,
          0.059694983989552725,
          0.08461341500012473,
          0.11028450017924914,
          0.13568948884779403,
          0.16078074065596276,
          0.18551760301399858,
          0.20986643997757398,
          0.23380040553513803,
          0.25729902239526625,
          0.28123299017640147,
          0.30571005920460287,
          0.33082277013270384,
          0.35666148347014165,
          0.3833182901298453,
          0.41089075093008504,
          0.439485972176997,
          0.46922557511291146,
          0.5002520224818825,
          0.5327362561884719,
          0.5668842244016382,
          0.6029302821008772,
          0.6410713349073215,
          0.6812179718540555,
          0.722563804463356,
          0.763862038165191,
          0.8044538523187867,
          0.8443025751804637,
          0.8835622422661327,
          0.9223992744438126,
          0.9609542354666905,
          0.9993406262856849,
          1.0376502361322575,
          1.0759583711195957,
          1.1143278935892142,
          1.1528121795945527,
          1.1914572681941757,
          1.2303034357872438,
          1.2693863645355048,
          1.3087380219244542,
          1.3483873319354018,
          1.3883606935859123,
          1.4286823857394186,
          1.4693748859600702,
          1.510459123339287,
          1.5519546799231032,
          1.5938799515606727,
          1.6362522763160805,
          1.679088036608909,
          1.7224027398408472,
          1.7662110811389125,
          1.8105269910869446,
          1.8553636706696435,
          1.900733615185166,
          1.9466486284918783,
          1.9931198286645424,
          2.040157645909494,
          2.08777181337388,
          2.1359713513451255,
          2.184764545172222,
          2.2341589171791476,
          2.28416119269025,
          2.334777260216725,
          2.3860121258186173,
          2.4378698614914063,
          2.4903535474605474,
          2.5434652081059537,
          2.597205741238289,
          2.651574840310459,
          2.7065709091024908,
          2.7621909683392096,
          2.8184305535161527,
          2.875283603206365,
          2.9327423368440955,
          2.990797120916542,
          3.0494363222098584,
          3.108646146542507,
          3.168410461054656,
          3.2287105977708186,
          3.2895251355918256,
          3.350829657282643,
          3.4125964771121495,
          3.4747943338226426,
          3.5373880420557477,
          3.6003380935907163,
          3.6636001971147962,
          3.7271247418083773,
          3.7908561652268995,
          3.8547321991545,
          3.918682957504763,
          3.98262981614617,
          4.046484013448085,
          4.110144867981717,
          4.1734974587671765,
          4.236409530004553,
          4.298727240474772,
          4.360269125002572,
          4.420817158557118,
          4.480102847887576,
          4.537784139413361,
          4.593793470420406,
          4.648228893788641,
          4.692140868613317,
          4.735082876223879,
          4.7770979086599725,
          4.8245436014664875,
          4.8768329857949055,
          4.933135038051404,
          4.992959721832915,
          5.055980237672479,
          5.12196439872776,
          5.190738871535188,
          5.262168683666874,
          5.336144481430152,
          5.412574048500208,
          5.491376304033343,
          5.572476801405016,
          5.6558041548569316,
          5.741287040037661,
          5.8288515380239065,
          5.918418664685676,
          6.009918136045401,
          6.103323675520328,
          6.198519618904029,
          6.295378261688622,
          6.393753388033865,
          6.493477118628185,
          6.594356279725744,
          6.696168392366052,
          6.798657210546887,
          6.901527737921395,
          7.004440643738855,
          7.107005987313572,
          7.208776144974148,
          7.307908137869023,
          7.398126518828574,
          7.480251021407511,
          7.554984001420473,
          7.6229325495429645,
          7.684625542821865,
          7.740526978715003,
          7.791046533873753,
          7.83654802059994,
          7.877356229556558,
          7.913762518819045,
          7.946029418266575,
          7.9743944527950354,
          7.9990733400230045,
          8.020262682861558,
          8.038142250906278,
          8.052876924689006,
          8.064618361579436,
          8.073506430428168,
          8.079670452904384,
          8.0832302823705,
          8.084297245470506,
          8.082974967158249,
          8.079360096276064,
          8.073542945927045,
          8.065608060528277,
          8.055634719529738,
          8.043697386214852,
          8.029866108714183,
          8.01420687929463,
          7.996781957099623,
          7.977650158777955,
          7.956867120810543,
          7.934485536832099,
          7.910555372794507,
          7.885124062443436,
          7.858236685268227,
          7.829936128799862,
          7.800263236914331,
          7.769256945577588,
          7.736954407319649,
          7.703391105547863,
          7.66860095970738,
          7.632616422160175,
          7.595468567571405,
          7.557187175500339,
          7.517800806815603,
          7.477336874494182,
          7.435821709300965,
          7.393280620791651,
          7.349737954050906,
          7.305217142517881,
          7.259740757225556,
          7.213330552760235,
          7.1660075101897815,
          7.117791877217807,
          7.068703205775912,
          7.018760387251754,
          6.967981685540178,
          6.9163847680761075,
          6.863986735004878,
          6.810804146626466,
          6.756853049234172,
          6.702148999475858,
          6.646707087330649,
          6.590541957803823,
          6.533667831431717,
          6.476098523671335,
          6.41784746326213,
          6.358927709617278,
          6.299351969315748,
          6.239132611755107,
          6.1782816840209955,
          6.116810925016268,
          6.054731778908503,
          5.992055407935297,
          5.92879270460354,
          5.864954303328228,
          5.800550591543669,
          5.7355917203171405,
          5.670087614497397,
          5.604047982435063,
          5.537482325283725,
          5.470399945927689,
          5.40280995754438,
          5.334721291831057,
          5.266142706916463,
          5.197082794974007,
          5.127549989560611,
          5.057552572686357,
          4.987098681652218,
          4.91619631564998,
          4.844853342151304,
          4.7730775030985555,
          4.700876420910731,
          4.628257604309575,
          4.555228453994953,
          4.481796268161239,
          4.407968247882255,
          4.333751502363361,
          4.259153054083023,
          4.184179843819772,
          4.108838735588093,
          4.033136521486436,
          3.957079926459813,
          3.880675613000695,
          3.8039301857863492,
          3.7268501962619545,
          3.6494421471822367,
          3.571712497118689,
          3.4936676649374427,
          3.415314034262352,
          3.336657957925882,
          3.2577057624179546,
          3.178463752344943,
          3.098938214902938,
          3.0191354243741064,
          2.939061646658661,
          2.858723143849801,
          2.7781261788585287,
          2.697277020103063,
          2.616181946267364,
          2.534847251142711,
          2.4532792485656945,
          2.3714842774544436,
          2.289468706965379,
          2.2072389417750835,
          2.124801427509646,
          2.042162656319183,
          1.9593291726328392,
          1.8763075790891324,
          1.7931045426727834,
          1.7097268010678508,
          1.6261811692475991,
          1.5424745463205722,
          1.4586139226543868,
          1.374606387296136,
          1.290459135719827,
          1.2061794779196324,
          1.1217748468825122,
          1.037252807464604,
          0.9526210657098557,
          0.8678874786389091,
          0.7830600645513687,
          0.6981470138757392,
          0.6131567006214228,
          0.5280976944679323,
          0.44297877355587856,
          0.3578089380234095,
          0.27259742436308004,
          0.18735372065628136,
          0.10208758276572695,
          0.016809051562013858,
          -0.06847152872617669,
          -0.15374349093856596,
          -0.23899582408011966,
          -0.3242171509785589,
          -0.40939570436048467,
          -0.4945193012115739,
          -0.5795753152657861,
          -0.6645506474335382,
          -0.7494316939975469,
          -0.8342043123400933,
          -0.9188537839704362,
          -1.00336477459001,
          -1.0877212908881653,
          -1.171906633736895,
          -1.2559033474128727,
          -1.3396931644234769,
          -1.4232569454653266,
          -1.5065746139767962,
          -1.5896250846895188,
          -1.6723861854866977,
          -1.7548345717965201,
          -1.83694563263515,
          -1.918693387296789,
          -2.000050371527213,
          -2.08098751186798,
          -2.161473986642731,
          -2.2414770718333106,
          -2.3209619698109902,
          -2.3998916185643564,
          -2.4782264786743315,
          -2.555924294824654,
          -2.632939828071978,
          -2.709224554441132,
          -2.7847263245889833,
          -2.859388978298221,
          -2.9331519063608473,
          -3.0059495509300342,
          -3.0777108335951313,
          -3.1483584981675037,
          -3.2178083523342274,
          -3.2859683887685947,
          -3.3527377617805025,
          -3.418005589818426,
          -3.4816495467330633,
          -3.543534195092744,
          -3.6035090022501595,
          -3.661405963220512,
          -3.7170367321971676,
          -3.770189134487159,
          -3.820622889559317,
          -3.8680643189471833,
          -3.9121997326522653,
          -3.9526670732698785,
          -3.9890452306876245,
          -4.020840193657107,
          -4.047466831227934,
          -4.068224518189567,
          -4.082263896663898,
          -4.088234995799232,
          -4.087315953689916,
          -4.080300788026656,
          -4.0666047335562,
          -4.048965383059763,
          -4.024855499260393,
          -3.998556814210371,
          -3.9660054506625912,
          -3.9326961782009824,
          -3.8933544805282616,
          -3.854420653442895,
          -3.809673605994606,
          -3.766281637370069,
          -3.7172922672286197,
          -3.6704240929707392,
          -3.618169366150914,
          -3.568651345029285,
          -3.5139515865013276,
          -3.462478435765082,
          -3.406021628210353,
          -3.3531763662355742,
          -3.2955383485854592,
          -3.241808993952017,
          -3.183470341672345,
          -3.1292639542963383,
          -3.0706241489173234,
          -3.016278676086631,
          -2.9576680415649803,
          -2.9034623382109177,
          -2.8451521236518342,
          -2.791314443952205,
          -2.733525356749838,
          -2.680240557523333,
          -2.6231499921801134,
          -2.5705656435171043,
          -2.51431380479089,
          -2.462545366945315,
          -2.4072404484239387,
          -2.356375644089992,
          -2.3020981923950785,
          -2.2522006782253374,
          -2.1990072470301905,
          -2.1501196663820252,
          -2.0980458417578327,
          -2.050192320919307,
          -1.9992551789361677,
          -1.952443310377381,
          -1.90264334820566,
          -1.8568656858624286,
          -1.8081882477600433,
          -1.7634233200548395,
          -1.715839518675783,
          -1.6720523451431728,
          -1.6255194563234576,
          -1.582661535532696,
          -1.5371228236477175,
          -1.4951315536400143,
          -1.4505154746817401,
          -1.4093130038399821,
          -1.365531768264631,
          -1.3250234504848446,
          -1.2819711110815981,
          -1.2420443413752746,
          -1.1995952164058303,
          -1.160121297178178,
          -1.1181315809705006,
          -1.0789787437208547,
          -1.037300214729285,
          -0.9983796899645022,
          -0.9569099883281466,
          -0.9182947697074781,
          -0.8771103541572787,
          -0.8391997828511482,
          -0.7987500612671552,
          -0.762165102218371,
          -0.7231812316353685,
          -0.6882796794753747,
          -0.6512243149753523,
          -0.6180268559023748,
          -0.5829488571882033,
          -0.5515456108142681,
          -0.518526408711561,
          -0.48934362237515877,
          -0.4588156453833471,
          -0.43211446027491346,
          -0.40434257644460186,
          -0.3798041304184978,
          -0.35443521036985304,
          -0.33147061027386154,
          -0.3078602299492252,
          -0.2836553321609605,
          -0.261902447119774,
          -0.2396820551743891,
          -0.2170300079332824,
          -0.19396547074654705,
          -0.17051328020070813,
          -0.1449704719305808,
          -0.12737059924358443,
          -0.10924259809204187,
          -0.09097478762639985,
          -0.07258807628224076,
          -0.05410481527768084,
          -0.03762962525417953,
          -0.021114030064676135,
          -0.006800821886836123,
          0.005615231273782906,
          0.018027851798806477,
          0.031006105270790632,
          0.04629810458574043,
          0.063706576360762,
          0.08354661223378873,
          0.1069500711491642,
          0.13332464598304936,
          0.15934450663020852,
          0.18495703287406196,
          0.2101179931746047,
          0.23479162008899743,
          0.2589503416042577,
          0.28257424845774126,
          0.30570492668261845,
          0.32924590854437,
          0.3532612890840667,
          0.37782397241038757,
          0.40300695660456765,
          0.4288870948756707,
          0.45554879272428755,
          0.48308841670298297,
          0.5116198717147433,
          0.5412815036606765,
          0.5722428595626758,
          0.6047027679028611,
          0.6388428063503402,
          0.6746237285871584,
          0.711351775004053,
          0.7478061639790569,
          0.7833003258540189,
          0.8178060996910634,
          0.8514929779676853,
          0.8845329566066379,
          0.9170649320383049,
          0.9491969098233412,
          0.9810132588286108,
          1.0125808754745869,
          1.0439536734097499,
          1.0751757555617678,
          1.1062836617666252,
          1.13730798289765,
          1.1682745390840727,
          1.199205253702649,
          1.2301188113434862,
          1.2610311596210075,
          1.2919558961063429,
          1.3229045693977748,
          1.3538869149795913,
          1.3849110408790701,
          1.4159835741748013,
          1.4471097765478897,
          1.478293635115994,
          1.5095379332636103,
          1.5408443051159966,
          1.5722132764740842,
          1.6036442944199554,
          1.6351357473118684,
          1.6666849765090581,
          1.6982882808998716,
          1.72994091502898,
          1.7616370814595796,
          1.7933699178116844,
          1.8251314787877084,
          1.856912713354494,
          1.8887034371239522,
          1.9204922998275689,
          1.952266747657251,
          1.9840129800572073,
          2.0157159003554797,
          2.0473590594123006,
          2.0789245911080068,
          2.110393138139329,
          2.1417437660709697,
          2.1729538628749174,
          2.2039990202938924,
          2.234852892067462,
          2.2654870222923154,
          2.2958706346569557,
          2.325970369693848,
          2.355749951828683,
          2.3851697600469848,
          2.414186263618279,
          2.4427512647955534,
          2.4708108582429857,
          2.4983039621437237,
          2.5251601776658132,
          2.551296547370644,
          2.5766124047405734,
          2.600980666338231,
          2.6244162720363056,
          2.646977470946831,
          2.6649466659370664,
          2.682385240793298,
          2.6993182633663797,
          2.7182705068589477,
          2.738949517001448,
          2.760970503076855,
          2.7840890487524335,
          2.8081276996804094,
          2.832947210227867,
          2.858431412953358,
          2.884478435750879,
          2.9109951535919523,
          2.9378934244246677,
          2.9650873662994677,
          2.992491266281379,
          3.020017881288221,
          3.0475769826406793,
          3.0750740482862904,
          3.1024090375356654,
          3.129490719505202,
          3.156212480131521,
          3.182446136015294,
          3.2080533381185896,
          3.232883650350224,
          3.256773097182111,
          3.2795425972840597,
          3.3009962944444116,
          3.3209197744712013,
          3.339078159088771,
          3.355214069087154,
          3.369045449963269,
          3.3802632539648148,
          3.388528972475418,
          3.393472011775479,
          3.3946869029121807,
          3.3917303322310177,
          3.384117972432712,
          3.37132108431854,
          3.352762846161025,
          3.3278143505705664,
          3.2957901877348057,
          3.255943509151783,
          3.2074604379041785,
          3.1494536608274353,
          3.0863020197788344,
          3.0189891095792745,
          2.9480494987645383,
          2.8739301391919065,
          2.7970085556707804,
          2.717606535108904,
          2.6360005922909537,
          2.552430084665135,
          2.4671035842985933,
          2.3802039387878655,
          2.2918923327840455,
          2.202311578466065,
          2.1115888045385978,
          2.019837671275931,
          1.92716020861486,
          1.8336483518482876,
          1.7393852328035109,
          1.6444462718310673,
          1.548900106416072,
          1.452809384916904,
          1.356231448287093,
          1.2592189182469296,
          1.1618202069022736,
          1.0640799600760302,
          0.966039444440249,
          0.8677368867886298,
          0.7692077723801747,
          0.6704851081351403,
          0.5715996555465397,
          0.4725801373853589,
          0.37345342167228657,
          0.27424468584073003,
          0.1749775636102064,
          0.07567427670064365,
          -0.023644246763510162,
          -0.12295826557692235,
          -0.2222491291366663,
          -0.32149919029488366,
          -0.42069172635507385,
          -0.5198108673045255,
          -0.6188415305050873,
          -0.7177693611503805,
          -0.8165806778815503,
          -0.9152624230371681,
          -1.0138021170600506,
          -1.1121878166494632,
          -1.2104080762892364,
          -1.3084519128255592,
          -1.4063087728053085,
          -1.5039685023094416,
          -1.6014213190562563,
          -1.6986577865631254,
          -1.7956687901846045,
          -1.8924455148556503,
          -1.9889794243916674,
          -2.0852622422099505,
          -2.181285933352863,
          -2.2770426876962784,
          -2.372524904248734,
          -2.467725176450983,
          -2.5626362783853422,
          -2.6572511518360655,
          -2.7515628941108683,
          -2.8455647465847353,
          -2.9392500838890028,
          -3.0326124037070525,
          -3.1256453171248495,
          -3.2183425394887877,
          -3.3106978817373722,
          -3.402705242168336,
          -3.4943585986016026,
          -3.585652000913482,
          -3.6765795639098586,
          -3.767135460513951,
          -3.8573139152394824,
          -3.9471091979325412,
          -4.036515617751071,
          -4.125527517376415,
          -4.214139267423504,
          -4.302345261040763,
          -4.390139908681064,
          -4.477517633030079,
          -4.56447286407142,
          -4.651000034289603,
          -4.737093573975376,
          -4.8227479066455885,
          -4.907957444545278,
          -4.992716584237415,
          -5.0770197022560515,
          -5.1608611508265945,
          -5.244235253627496,
          -5.32713630159952,
          -5.409558548783242,
          -5.491496208180719,
          -5.572943447630578,
          -5.653894385689138,
          -5.734343087509862,
          -5.8142835607106305,
          -5.893709751226722,
          -5.972615539130396,
          -6.050994734423279,
          -6.128841072779965,
          -6.20614821124855,
          -6.282909723886838,
          -6.3591190973329885,
          -6.434769726306314,
          -6.50985490901905,
          -6.5843678424984455,
          -6.658301617810298,
          -6.731649215174744,
          -6.804403498954332,
          -6.876557212524935,
          -6.948102973003481,
          -7.019033265824146,
          -7.089340439162579,
          -7.1590166981835965,
          -7.228054099108049,
          -7.2964445430884,
          -7.364179769872599,
          -7.431251351250927,
          -7.497650684264577,
          -7.5633689841679805,
          -7.628397277120553,
          -7.692726392602002,
          -7.756346955522563,
          -7.819249378014118,
          -7.881423850887325,
          -7.942860334720789,
          -8.003548550577353,
          -8.063477970304469,
          -8.12263780640823,
          -8.181017001463914,
          -8.238604217043775,
          -8.29538782211946,
          -8.351355880911758,
          -8.406496140153534,
          -8.460796015725123,
          -8.514242578621793,
          -8.566822540204429,
          -8.618522236693726,
          -8.669327612852785,
          -8.719224204800733,
          -8.768197121900409,
          -8.81623102765635,
          -8.863310119549586,
          -8.909418107737961,
          -8.95453819253863,
          -8.998653040605403,
          -9.041744759701444,
          -9.083794871963981,
          -9.124784285552282,
          -9.164693264546845,
          -9.203501396970424,
          -9.241187560778915,
          -9.277729887666737,
          -9.313105724502504,
          -9.347291592205721,
          -9.380263141850946,
          -9.411995107763587,
          -9.442461257353152,
          -9.471634337397267,
          -9.499486016460894,
          -9.525986823112165,
          -9.551106079541578,
          -9.57481183016393,
          -9.597070764726313,
          -9.617848135400275,
          -9.637107667265937,
          -9.654811461530604,
          -9.670919890752927,
          -9.685391485241446,
          -9.69818280970795,
          -9.709248329123538,
          -9.71854026260829,
          -9.726008424013095,
          -9.731600047690753,
          -9.735259597731027,
          -9.736928558703264,
          -9.73654520566502,
          -9.734044350876617,
          -9.729357064263922,
          -9.722410364232848,
          -9.713126874900851,
          -9.701424445179606,
          -9.68721572439281,
          -9.670407688219072,
          -9.650901107662131,
          -9.62858995247283,
          -9.60336071885887,
          -9.575091669414318,
          -9.54365197087016,
          -9.508900712378374,
          -9.470685783495314,
          -9.428842586597359,
          -9.383192552906468,
          -9.333541424312145,
          -9.279677254252027,
          -9.221368069517167,
          -9.15835912009704,
          -9.090369624938582,
          -9.017088896178647,
          -8.938171690703056,
          -8.853232592537587,
          -8.761839167783418,
          -8.663503548523344,
          -8.557671982633147,
          -8.443711716419278,
          -8.320894330765707,
          -8.188374287949387,
          -8.045160897970414,
          -7.8900810660848935,
          -7.7217288385962055,
          -7.560287126823457,
          -7.384865773721209,
          -7.22501540694584,
          -7.052025206860797,
          -6.894749844760058,
          -6.72534327478534,
          -6.571594802945258,
          -6.406611483597599,
          -6.257070896929276,
          -6.097097340968002,
          -5.952236635815968,
          -5.797664076542341,
          -5.657793126003003,
          -5.508861769801154,
          -5.374164558325104,
          -5.2309978003064375,
          -5.101560657762223,
          -4.964191741656909,
          -4.84002548209419,
          -4.708418396442581,
          -4.589475759583672,
          -4.463541686971156,
          -4.349731123906544,
          -4.229341425665667,
          -4.120538014741171,
          -4.005534493368587,
          -3.9015885860939292,
          -3.7917915926641963,
          -3.6925356517412258,
          -3.587750475632351,
          -3.493004463789594,
          -3.3930263444882063,
          -3.3026019440254633,
          -3.20721997001466,
          -3.1209238522163787,
          -3.029923954383809,
          -2.947560270169801,
          -2.860727471528445,
          -2.782099696683859,
          -2.699219743780579,
          -2.624131981024846,
          -2.5449924523547867,
          -2.4732502664846625,
          -2.397641227752357,
          -2.3290520676907773,
          -2.256766321729694,
          -2.191139563748412,
          -2.121972522859127,
          -2.059119152496597,
          -1.9928683438350272,
          -1.9326002826702366,
          -1.8690644849479934,
          -1.811193570271567,
          -1.7501715811863083,
          -1.69450824411943,
          -1.6357973163772535,
          -1.5821491377559995,
          -1.5255432624023701,
          -1.4737139777279722,
          -1.419002612812629,
          -1.3687932188991248,
          -1.3157622320649147,
          -1.2669787119669205,
          -1.215418441848757,
          -1.1678975445012831,
          -1.11763058303621,
          -1.071307052727693,
          -1.0222621467108912,
          -0.9772938445964232,
          -0.9296472478609421,
          -0.8864873739117793,
          -0.8407565352416163,
          -0.7998894506815424,
          -0.7566568742468869,
          -0.7181841776909744,
          -0.6776165075974416,
          -0.6412817107303752,
          -0.6031203117061505,
          -0.5686830777431429,
          -0.5326556091020723,
          -0.5003355740973723,
          -0.4666516347618216,
          -0.4370828674193201,
          -0.40639632362158273,
          -0.37961725192635265,
          -0.3519689018056574,
          -0.32736667320442414,
          -0.3021050366789765,
          -0.2789897258345191,
          -0.255370281127071,
          -0.2312928159874515,
          -0.20677275705632422,
          -0.18455355423170505,
          -0.16201945680669647,
          -0.13897285576113222,
          -0.11627191432743532,
          -0.09335111834483027,
          -0.07295545924280805,
          -0.052444958065110445,
          -0.031849877890266054,
          -0.013923042317329708,
          0.0040212930032569455,
          0.02196047391065888,
          0.03679699799567419,
          0.04956082710535723,
          0.06229213929901864,
          0.07627069141822389,
          0.0928213858166389,
          0.11196686516108954,
          0.13466258408574158,
          0.1610047559629825,
          0.1868941274763072,
          0.209736839131344,
          0.23213810264067739,
          0.2541275766159958,
          0.276011262480597,
          0.29793576996277743,
          0.3200006677310361,
          0.3422825044795741,
          0.3648454484684007,
          0.387747344662949,
          0.4110437542014959,
          0.43479112450651747,
          0.4590497291476674,
          0.48388683070586636,
          0.5093804431989912,
          0.5356239175756359,
          0.5627308701116543,
          0.5908370076761159,
          0.620083910672,
          0.6505318108529816,
          0.681893473136634,
          0.7132810712632246,
          0.7437932429388059,
          0.7731593779392065,
          0.8014773074340376,
          0.8289102339797237,
          0.8555995033731836,
          0.8816551727147641,
          0.9071616762449359,
          0.9321842806420626,
          0.9567740484191803,
          0.980971376166371,
          1.004808490026195,
          1.028311221613571,
          1.0515002913620115,
          1.074392251620082,
          1.0970001912476621,
          1.1193342702986635,
          1.1414021316509324,
          1.1632092222354162,
          1.1847590468721183,
          1.2060533713218844,
          1.227092386626466,
          1.247874843709011,
          1.2683981649499885,
          1.2886585378935886,
          1.3086509950125325,
          1.328369482641435,
          1.347806921521819,
          1.366955260890381,
          1.3858055276976398,
          1.4043478722071139,
          1.422571610985064,
          1.4404652680635142,
          1.458016614849999,
          1.4752127091199254,
          1.4920399331894993,
          1.5084840310369851,
          1.5245301437026997,
          1.5401628417149835,
          1.5553661524362876,
          1.570123578913176,
          1.5844181049149613,
          1.5982321777827182,
          1.6115476558556592,
          1.6243456992047223,
          1.6366065685633242,
          1.6483092726024258,
          1.6594309568901882,
          1.669945833627756,
          1.6798232453259923,
          1.6890705554225125,
          1.6977301612911035,
          1.7047558713737732,
          1.7103772962775565,
          1.7157367305734654,
          1.7218302751776748,
          1.7284285475289631,
          1.735291852114982,
          1.7422614272061427,
          1.749213767587536,
          1.7560437282914632,
          1.762656062283779,
          1.7689606059827736,
          1.774869236121104,
          1.780293767770689,
          1.78514438386691,
          1.7893283763797865,
          1.7927490726927722,
          1.7953048700531051,
          1.7968883284740527,
          1.797385288588618,
          1.7966736124400984,
          1.7946199175625857,
          1.7910803578375178,
          1.785900340936627,
          1.778913485758905,
          1.7699405152094883,
          1.7587880984688435,
          1.745247638780273,
          1.7290940081361634,
          1.710084232456585,
          1.6879561335059967,
          1.6624269364629976,
          1.6331918546890665,
          1.5999226654703025,
          1.5622662920138457,
          1.5198434072415568,
          1.4722470733002697,
          1.4190414267157194,
          1.3597604120361049,
          1.2939065565352335,
          1.2209497649491288,
          1.1403260970743394,
          1.0514364734785628,
          0.9536452371829244,
          0.8462784841848646,
          0.7286220646537123,
          0.5999191505996578,
          0.45936726521154797,
          0.30611467182926066,
          0.13925602467369336,
          -0.04217281505107312,
          -0.23920089848144924,
          -0.4529293592554163,
          -0.6845397767339078,
          -0.9185180477069657,
          -1.1511459206282988,
          -1.3822735200340166,
          -1.6117913524581169,
          -1.8396198104921961,
          -2.065701669111259,
          -2.289996631643954,
          -2.5124773075679654,
          -2.733126208100966,
          -2.9519334765858285,
          -3.1688951567791834,
          -3.3840118598563236,
          -3.5972877303065443,
          -3.8087296381953526,
          -4.018346544441727,
          -4.226148999471685,
          -4.432148745457559,
          -4.63635839958981,
          -4.838791201120972,
          -5.039460808903059,
          -5.238381139105175,
          -5.435566235058553,
          -5.631030162898862,
          -5.824786927995815,
          -6.016850408203003,
          -6.207234300738708,
          -6.395952080154058,
          -6.583016965334497,
          -6.7684418938683475,
          -6.952239502434452,
          -7.13442211210968,
          -7.315001717695723,
          -7.493989980332066,
          -7.671398222785551,
          -7.847237426920871,
          -8.021518232939808,
          -8.194250940054225,
          -8.365445508302694,
          -8.535111561283774,
          -8.703258389615577,
          -8.869894954950897,
          -9.035029894426206,
          -9.198671525427354,
          -9.360827850581426,
          -9.521506562898574,
          -9.680715051002927,
          -9.838460404397019,
          -9.994749418722991,
          -10.149588600976704,
          -10.302984174650414,
          -10.454942084785598,
          -10.60546800290439,
          -10.754567331818807,
          -10.902245210294037,
          -11.04850651756277,
          -11.193355877679442,
          -11.336797663713112,
          -11.478836001770272,
          -11.619474774848191,
          -11.758717626516122,
          -11.896567964422697,
          -12.033028963629555,
          -12.168103569772013,
          -12.3017945020489,
          -12.434104256036646,
          -12.565035106339996,
          -12.694589109064705,
          -12.822768104132834,
          -12.949573717427748,
          -13.075007362773528,
          -13.199070243758579,
          -13.321763355392052,
          -13.443087485607176,
          -13.56304321660287,
          -13.681630926034117,
          -13.798850788042088,
          -13.914702774135998,
          -14.029186653921133,
          -14.142301995671849,
          -14.254048166758757,
          -14.364424333923052,
          -14.473429463397412,
          -14.581062320883156,
          -14.68732147137155,
          -14.79220527881755,
          -14.895711905660162,
          -14.997839312195284,
          -15.098585255789539,
          -15.197947289943384,
          -15.29592276319958,
          -15.39250881789034,
          -15.48770238873105,
          -15.581500201246866,
          -15.673898770038127,
          -15.764894396876416,
          -15.854483168636646,
          -15.942660955046765,
          -16.029423406269157,
          -16.114765950293513,
          -16.19868379015061,
          -16.28117190092985,
          -16.362225026605856,
          -16.44183767666286,
          -16.52000412250926,
          -16.596718393684387,
          -16.671974273841013,
          -16.74576529650215,
          -16.818084740578893,
          -16.888925625651876,
          -16.958280706995307,
          -17.026142470339234,
          -17.092503126360207,
          -17.157354604888397,
          -17.220688548826157,
          -17.28249630774756,
          -17.342768931190584,
          -17.401497161610664,
          -17.458671426983067,
          -17.514281833045256,
          -17.568318155156586,
          -17.620769829758274,
          -17.671625945418207,
          -17.720875233432146,
          -17.768506057968544,
          -17.814506405731773,
          -17.858863875109986,
          -17.901565664798834,
          -17.9425985618517,
          -17.981948929145616,
          -18.019602692217557,
          -18.055545325444154,
          -18.08976183752259,
          -18.122236756216445,
          -18.15295411232596,
          -18.181897422831312,
          -18.20904967316715,
          -18.234393298569916,
          -18.257910164447043,
          -18.27958154570735,
          -18.2993881049799,
          -18.3173098696636,
          -18.333326207723196,
          -18.347415802153886,
          -18.35955662402974,
          -18.3697259040314,
          -18.377900102363366,
          -18.38405487694366,
          -18.38816504974053,
          -18.390204571140476,
          -18.39014648219096,
          -18.38796287457556,
          -18.383624848143626,
          -18.377102465829367,
          -18.36836470574268,
          -18.357379410228663,
          -18.344113231653026,
          -18.328531574663646,
          -18.31059853462697,
          -18.290276831950997,
          -18.267527741936185,
          -18.242311019784083,
          -18.214584820355757,
          -18.18430561221342,
          -18.15142808544829,
          -18.115905052736498,
          -18.077687343002502,
          -18.03672368700141,
          -17.99296059406457,
          -17.946342219151795,
          -17.89681021926154,
          -17.844303598138247,
          -17.788758538093436,
          -17.730108217594015,
          -17.66828261312414,
          -17.603208283627392,
          -17.534808135605918,
          -17.46300116671439,
          -17.387702185386733,
          -17.308821503681063,
          -17.22626460015457,
          -17.13993174908449,
          -17.04971761184242,
          -16.955510785560673,
          -16.857193303493233,
          -16.75464008058308,
          -16.647718296669744,
          -16.5362867085324,
          -16.4201948804245,
          -16.299282320943686,
          -16.173377511869962,
          -16.042296811914166,
          -15.905843215047298,
          -15.763804939040902,
          -15.61595381485967,
          -15.46204344135406,
          -15.301807061923334,
          -15.134955110021375,
          -14.961172357938786,
          -14.780114587342432,
          -14.591404679460931,
          -14.394627995968087,
          -14.189326886263778,
          -13.974994109852172,
          -13.751064899235862,
          -13.516907302565603,
          -13.271810326253503,
          -13.014969230971372,
          -12.745467096950513,
          -12.462251430215865,
          -12.164104072460457,
          -11.849601908320432,
          -11.517064673223633,
          -11.164484269931163,
          -10.836610502460633,
          -10.487663162636075,
          -10.17669379153158,
          -9.846202395980582,
          -9.551606543938247,
          -9.239319776431739,
          -8.960887588146317,
          -8.666355418029578,
          -8.403679769394238,
          -8.126297921162662,
          -7.878839300932936,
          -7.617903647701679,
          -7.385036515745962,
          -7.139782581819909,
          -6.920829274025568,
          -6.690461014082279,
          -6.484716563804315,
          -6.2684272880837,
          -6.075177547515361,
          -5.872165036399322,
          -5.690699810418507,
          -5.500177095754386,
          -5.329799536572782,
          -5.151002432475826,
          -4.9910356159993645,
          -4.823227801101822,
          -4.6730191708864375,
          -4.5154954216137275,
          -4.374419615503356,
          -4.226507641277046,
          -4.093968089468244,
          -3.9550293107063466,
          -3.830458899630723,
          -3.6998884263450296,
          -3.582749451289911,
          -3.459975456940574,
          -3.349759031327988,
          -3.2342416676677512,
          -3.1304667143242857,
          -3.0216966748076373,
          -2.9239085908831006,
          -2.8214053996167925,
          -2.7291744603757544,
          -2.6324845394876544,
          -2.5454040862039826,
          -2.4540986360711585,
          -2.371783080979051,
          -2.2854557965346776,
          -2.207538478536597,
          -2.125803127009345,
          -2.051934080184618,
          -1.9744219961315472,
          -1.904265785047069,
          -1.8306234369718335,
          -1.7638574580447095,
          -1.6937445036538412,
          -1.6300587688738817,
          -1.56314768161434,
          -1.5022486085537388,
          -1.4382285972952753,
          -1.3798528140078068,
          -1.3184445872953559,
          -1.262395506594047,
          -1.2033909984804037,
          -1.1496162957840375,
          -1.0929642189934685,
          -1.0416595043039842,
          -0.9875840248725484,
          -0.9391702602952202,
          -0.8881591809262877,
          -0.8429573867769776,
          -0.7954111545820887,
          -0.7533281131388979,
          -0.7091907218265349,
          -0.6697901340368966,
          -0.6286064736340432,
          -0.5913753866229792,
          -0.5525882975878941,
          -0.517291565311556,
          -0.4806330678046723,
          -0.4478481073177011,
          -0.4139009221919986,
          -0.3844224164819355,
          -0.3540096661603079,
          -0.3274933126728286,
          -0.30027587225252594,
          -0.2759411897472845,
          -0.2510920622596293,
          -0.22579500268955627,
          -0.20367636597933167,
          -0.1812321912173578,
          -0.1584982651557946,
          -0.13855462190755283,
          -0.11842645011274106,
          -0.0957078937775701,
          -0.07127638824733874,
          -0.046690687022741595,
          -0.02570948547350187,
          -0.004685358849162206,
          0.016346678953937693,
          0.03450584492972628,
          0.052619206638191814,
          0.07066208575678722,
          0.08533345024836658,
          0.09992794209977077,
          0.11443247084708605,
          0.13116586476503908,
          0.1509868647203384,
          0.17543454215150614,
          0.1998642554259681,
          0.2237685673869992,
          0.24710569920052644,
          0.2698426077335757,
          0.29195483775913755,
          0.3134260599698607,
          0.33431051897574454,
          0.35523423999995046,
          0.3762489430386738,
          0.3974011367622227,
          0.41873272378649606,
          0.44028394814286825,
          0.4620956924663184,
          0.4842116100672419,
          0.5066803894654167,
          0.5295583056027028,
          0.5529118144542386,
          0.5768185574246948,
          0.601360296529983,
          0.6265857556753022,
          0.6523878993075857,
          0.6782863536515222,
          0.703516876737084,
          0.7276123172141429,
          0.7505300567333905,
          0.7723883079225268,
          0.7933177104520228,
          0.8134260678552555,
          0.8327970883722159,
          0.8514952463626304,
          0.8695704731841054,
          0.8870617243515267,
          0.9039995538452077,
          0.9204079622939273,
          0.9363057384072206,
          0.9517074493005029,
          0.9666241860210683,
          0.9810641364827074,
          0.995033035268904,
          1.0085345246472932,
          1.0215704510577053,
          1.0341411145313573,
          1.0462454838373618,
          1.0578813869935833,
          1.0690456845152712,
          1.0797344312823118,
          1.0899430317969143,
          1.0996663929037023,
          1.108899077576316,
          1.117635463092871,
          1.1258699068480824,
          1.133596923094068,
          1.1408113741286545,
          1.1475086798351117,
          1.1536850501090385,
          1.1593377455914533,
          1.1644653734706678,
          1.1690682270197048,
          1.1731486804032882,
          1.1767116546026508,
          1.1797651770202275,
          1.182321067974574,
          1.184402070204478,
          1.1860425403357677,
          1.1871533105550154,
          1.187864869127944,
          1.188365127142506,
          1.1886831119676313,
          1.1887666742215315,
          1.188514475122028,
          1.18784122106743,
          1.1866678151650734,
          1.184917427711786,
          1.182513279562135,
          1.179377188157562,
          1.1754284940434516,
          1.1705831903456922,
          1.1647531628308516,
          1.15784548790691,
          1.1497617561746194,
          1.1403974002233668,
          1.1296410117821563,
          1.117373637289361,
          1.1034637465282853,
          1.0877615087909327,
          1.0701169764949927,
          1.0503686287780754,
          1.028342934723253,
          1.0038533567772092,
          0.976699336522521,
          0.946665242772659,
          0.9135192908460348,
          0.877012443843947,
          0.8368773103449919,
          0.7928270565867381,
          0.7445543547606918,
          0.691730392028859,
          0.6340039666450807,
          0.571000697383288,
          0.5023223693997283,
          0.42754643277817106,
          0.34622565869871313,
          0.2578879422337517,
          0.16203622078880822,
          0.05814845485629775,
          -0.054322404017768604,
          -0.1759485512100996,
          -0.3073276761741006,
          -0.4490836217761327,
          -0.6018674469258853,
          -0.7663589614273457,
          -0.9432687737023473,
          -1.133340862303578,
          -1.337355657169271,
          -1.5561336004288386,
          -1.7905391515615618,
          -2.041485208550207,
          -2.309937933117278,
          -2.5969219924733014,
          -2.903526260078988,
          -3.2309100520873755,
          -3.5803100148476856,
          -3.9530478235288347,
          -4.350538905860476,
          -4.759407802285707,
          -5.160792995628814,
          -5.555025853880264,
          -5.942411772416201,
          -6.323231965445304,
          -6.6977454628726765,
          -7.0661911043177,
          -7.428789429391063,
          -7.785744420364788,
          -8.13724508355101,
          -8.483466871280921,
          -8.824572954007731,
          -9.160715355334432,
          -9.492035963693285,
          -9.818667434112324,
          -10.140733992606632,
          -10.458352154577064,
          -10.771631367397257,
          -11.080674586183552,
          -11.38557879066046,
          -11.686435450047934,
          -11.983330942024995,
          -12.276346931055972,
          -12.565560710694962,
          -12.851045513901504,
          -13.13287079489636,
          -13.41110248564394,
          -13.685803229671848,
          -13.957032595605831,
          -14.224847272517792,
          -14.489301248931318,
          -14.750445977114122,
          -15.008330524105224,
          -15.26300171075192,
          -15.514504239898747,
          -15.762880814736164,
          -16.008172248209444,
          -16.250417564302992,
          -16.489654091909827,
          -16.72591755193786,
          -16.95924213823688,
          -17.18966059286011,
          -17.417204276134708,
          -17.64190323196943,
          -17.863786248774545,
          -18.082880916348554,
          -18.29921367903821,
          -18.512809885468712,
          -18.723693835087214,
          -18.931888821773704,
          -19.13741717472031,
          -19.34030029677915,
          -19.54055870046537,
          -19.738212041765163,
          -19.933279151911144,
          -20.125778067258743,
          -20.315726057384982,
          -20.503139651533424,
          -20.688034663503693,
          -20.870426215093143,
          -21.050328758170522,
          -21.22775609547095,
          -21.402721400189694,
          -21.575237234441616,
          -21.745315566652334,
          -21.912967787945345,
          -22.07820472757814,
          -22.24103666747492,
          -22.401473355913478,
          -22.559524020402844,
          -22.715197379791306,
          -22.868501655653212,
          -23.019444582977936,
          -23.168033420197148,
          -23.31427495858855,
          -23.458175531071255,
          -23.599741020424524,
          -23.73897686695829,
          -23.875888075652515,
          -24.010479222781566,
          -24.142754462053198,
          -24.27271753026959,
          -24.400371752535698,
          -24.52572004701676,
          -24.64876492927117,
          -24.769508516165175,
          -24.8879525293782,
          -25.00409829851364,
          -25.117946763820562,
          -25.22949847853478,
          -25.33875361085015,
          -25.445711945519882,
          -25.55037288509624,
          -25.652735450815623,
          -25.75279828312834,
          -25.850559641877414,
          -25.94601740613056,
          -26.039169073661498,
          -26.130011760083413,
          -26.21854219764111,
          -26.304756733646645,
          -26.388651328569235,
          -26.470221553770457,
          -26.549462588883348,
          -26.626369218826383,
          -26.700935830458658,
          -26.773156408859737,
          -26.843024533228476,
          -26.91053337240012,
          -26.97567567996649,
          -27.038443788993707,
          -27.098829606324667,
          -27.15682460645728,
          -27.21241982498541,
          -27.26560585158721,
          -27.316372822549,
          -27.364710412809117,
          -27.410607827501483,
          -27.454053792984418,
          -27.495036547333065,
          -27.533543830271185,
          -27.569562872530646,
          -27.603080384599046,
          -27.634082544840442,
          -27.66255498695776,
          -27.68848278676487,
          -27.711850448237193,
          -27.732641888811326,
          -27.750840423885677,
          -27.766428750495855,
          -27.77938893010895,
          -27.789702370501725,
          -27.797349806667892,
          -27.802311280704917,
          -27.8045661206197,
          -27.804092918001373,
          -27.80086950448378,
          -27.79487292694038,
          -27.78607942132764,
          -27.77446438510115,
          -27.760002348114913,
          -27.742666941907686,
          -27.722430867284103,
          -27.699265860074313,
          -27.673142654953097,
          -27.644030947194906,
          -27.61189935222944,
          -27.576715362844734,
          -27.538445303873686,
          -27.497054284197173,
          -27.452506145865225,
          -27.404763410138877,
          -27.353787220214304,
          -27.299537280402404,
          -27.241971791476757,
          -27.181047381919083,
          -27.116719034724976,
          -27.04894000943642,
          -26.977661759010257,
          -26.90283384110965,
          -26.824403823352345,
          -26.74231718201491,
          -26.656517193636663,
          -26.56694481890202,
          -26.47353857813094,
          -26.376234417617052,
          -26.274965565985916,
          -26.169662379648354,
          -26.060252176315025,
          -25.946659055434903,
          -25.828803704271422,
          -25.70660318818268,
          -25.57997072351428,
          -25.448815431290722,
          -25.31304206968498,
          -25.172550742984406,
          -25.02723658445824,
          -24.876989410209898,
          -24.72169334067902,
          -24.5612263860099,
          -24.395459990953782,
          -24.22425853435519,
          -24.047478777520578,
          -23.864969254914218,
          -23.676569599597443,
          -23.482109794613912,
          -23.28140934007994,
          -23.074276324025664,
          -22.86050638294959,
          -22.639881535574023,
          -22.412168870257847,
          -22.177119062853656,
          -21.93446469730547,
          -21.683918355729304,
          -21.425170437883224,
          -21.157886661373908,
          -20.88170518323047,
          -20.596233269921353,
          -20.30104342563587,
          -19.995668866481676,
          -19.679598199552746,
          -19.35226912826912,
          -19.01306095581951,
          -18.661285592310858,
          -18.296176681758265,
          -17.916876342583876,
          -17.52241884532245,
          -17.1117103116784,
          -16.683503175775247,
          -16.23636364719774,
          -15.768629668431544,
          -15.278355720158531,
          -14.763239045259857,
          -14.22051899007062,
          -13.737217184802809,
          -13.225849725133546,
          -12.773936002775981,
          -12.296802874184497,
          -11.874824716393874,
          -11.43020687441508,
          -11.03671359727685,
          -10.622804470170086,
          -10.256249106658558,
          -9.871210606587344,
          -9.530009583451589,
          -9.172016728600047,
          -8.854590742429616,
          -8.521861824148912,
          -8.226663738464605,
          -7.917480264326132,
          -7.643013766161636,
          -7.355733104823709,
          -7.100564731783303,
          -6.833627524589278,
          -6.596393913907647,
          -6.348327729775983,
          -6.127739419025663,
          -5.897159720163935,
          -5.692002464188671,
          -5.477611660104043,
          -5.286745969265504,
          -5.087331128703884,
          -4.909690546377963,
          -4.724120185592918,
          -4.558708686465419,
          -4.385928940935344,
          -4.231817730670157,
          -4.070848134505914,
          -3.927172056397288,
          -3.777101092014117,
          -3.643054789836026,
          -3.5030353234237097,
          -3.3778692677164863,
          -3.247113951201498,
          -3.1301304057789427,
          -3.0079071009261176,
          -2.8984560872175313,
          -2.784083352351885,
          -2.6815586642647475,
          -2.5744013428790744,
          -2.478236683216697,
          -2.3777016562634237,
          -2.287367030785115,
          -2.1928992658711315,
          -2.1078979359183805,
          -2.018977145047366,
          -1.9388438271767168,
          -1.8549824627240679,
          -1.7792843462823054,
          -1.7000286210949542,
          -1.6283727058975637,
          -1.553310429717958,
          -1.4853644642379347,
          -1.4141476625314382,
          -1.3496868626893708,
          -1.2820827737166964,
          -1.2210687327558556,
          -1.1570474773991486,
          -1.0996878086006878,
          -1.0394935289620773,
          -0.9861204370902426,
          -0.9301486663708297,
          -0.8808813009923585,
          -0.8293081933241321,
          -0.7838588728349347,
          -0.7364089068234455,
          -0.6942008169595351,
          -0.650265849705143,
          -0.6106227614207961,
          -0.5694779123064888,
          -0.531813982105957,
          -0.49282882357599367,
          -0.4571586339470577,
          -0.4203285707106834,
          -0.38793554231286664,
          -0.35456245212186704,
          -0.32599624176090697,
          -0.29667711162789073,
          -0.27112981875888603,
          -0.2450510263552754,
          -0.22183982903946114,
          -0.19826048429650392,
          -0.17724020963845927,
          -0.15597761176052438,
          -0.1389547816190251,
          -0.12180713714727767,
          -0.10238387352134845,
          -0.07843308299794632,
          -0.048153242829465995,
          -0.02377994049672714,
          0.0006792317678955624,
          0.021849877740751675,
          0.04298641506772536,
          0.06404501363851454,
          0.08237966863552638,
          0.10059636657708933,
          0.11686586723975287,
          0.1312211555462631,
          0.14545439925217957,
          0.16077331535384606,
          0.17950960177104347,
          0.2026619783196398,
          0.22668835036750323,
          0.25007320867717525,
          0.27277482470299885,
          0.2947617421821537,
          0.3160125110951305,
          0.3365150399385651,
          0.35626567318807945,
          0.3756449458346367,
          0.3949461203381755,
          0.414202334629577,
          0.4334437861941156,
          0.4526974805948611,
          0.47198888362512287,
          0.4913432236985656,
          0.5107866884204502,
          0.5303475377456959,
          0.5500567700051595,
          0.5699468829654013,
          0.5900440309576611,
          0.6103400719588414,
          0.6307164237620567,
          0.650825687483449,
          0.6701443430753135,
          0.6883171920385711,
          0.705286288419086,
          0.7211356561586403,
          0.7359726153539182,
          0.7498906492900358,
          0.7629644208481251,
          0.7752524669325999,
          0.7868007223763956,
          0.7976454398987961,
          0.8078153946829575,
          0.8173335209096725,
          0.826218137791102,
          0.8344838868335921,
          0.8421424670962865,
          0.8492032290962919,
          0.8556736699799434,
          0.8615598604874367,
          0.8668668261976592,
          0.8715989003155502,
          0.8757600619471086,
          0.8793542719278796,
          0.8823858174978584,
          0.8848596773916957,
          0.8867819203006189,
          0.8881601524749988,
          0.889004035133418,
          0.8893259005829791,
          0.8891415099666722,
          0.888471020260381,
          0.8873402740536569,
          0.8857826172115764,
          0.8838364552259003,
          0.8815319959975687,
          0.8788962965412823,
          0.876624054662826,
          0.8741753328587484,
          0.8714363042819334,
          0.8680076994663473,
          0.8638955023443388,
          0.8590649158629697,
          0.8534674126831858,
          0.8470460675312371,
          0.8397376894783538,
          0.8314736316875111,
          0.8221800139070985,
          0.8117776474431546,
          0.800181790870515,
          0.7873017974991592,
          0.7730406849461243,
          0.7572946421668044,
          0.7399524815581392,
          0.7208950396381982,
          0.6999841876003883,
          0.6770670089918813,
          0.6519925950708372,
          0.6245982125298355,
          0.5947090264052056,
          0.5621371768114596,
          0.5266808502719164,
          0.4881233272839276,
          0.44623202051430444,
          0.40075752074021087,
          0.35143267202354617,
          0.29797170212172314,
          0.24006943817170465,
          0.17740064068853206,
          0.10961948984155766,
          0.03635925552783521,
          -0.04276782411352103,
          -0.12817044381165563,
          -0.22027791898786472,
          -0.31953969225508594,
          -0.4264247193970347,
          -0.5414208248327748,
          -0.6650341407289934,
          -0.7977887574912654,
          -0.9402267114591226,
          -1.0929084160589277,
          -1.2564136073625045,
          -1.4313428296769641,
          -1.6183194401696968,
          -1.817992072048763,
          -2.0310374705788745,
          -2.2581636073028353,
          -2.5001129850872394,
          -2.7576660645617,
          -3.0316447678530634,
          -3.322916041003204,
          -3.6323954814881843,
          -3.961051057358364,
          -4.3099069612184815,
          -4.680047656370051,
          -5.072622183695098,
          -5.488848810936947,
          -5.930020119725199,
          -6.397508644694922,
          -6.892773204613182,
          -7.417366101057389,
          -7.97294140993453,
          -8.552895608756133,
          -9.119089275955378,
          -9.672374266758723,
          -10.213500634223866,
          -10.743133304511268,
          -11.261865369479299,
          -11.770228796232425,
          -12.268703141486839,
          -12.757722707882104,
          -13.237682470973821,
          -13.70894302684698,
          -14.17183475238703,
          -14.626661327227918,
          -15.073702734091848,
          -15.513217829750749,
          -15.945446560088039,
          -16.370611878262128,
          -16.788921413695277,
          -17.200568930743533,
          -17.605735608906727,
          -18.00459117084754,
          -18.39729488000275,
          -18.783996425959067,
          -19.16483671282274,
          -19.539948563407087,
          -19.909457350094524,
          -20.273481561596743,
          -20.632133313487103,
          -20.985518809247043,
          -21.33373875763057,
          -21.676888751347217,
          -22.015059611410937,
          -22.348337700907837,
          -22.67680521147975,
          -23.000540425385093,
          -23.31961795565981,
          -23.63410896658434,
          -23.94408137641635,
          -24.24960004410357,
          -24.550726941508774,
          -24.8475213124984,
          -25.14003982010643,
          -25.428336682843245,
          -25.712463801113188,
          -25.992470874603423,
          -26.268405511414056,
          -26.540313329621462,
          -26.808238051905327,
          -27.07222159379901,
          -27.332304146072687,
          -27.588524251711746,
          -27.84091887790695,
          -28.089523483433464,
          -28.334372081772006,
          -28.575497300271532,
          -28.81293043565307,
          -29.046701506106942,
          -29.276839300227795,
          -29.503371422996562,
          -29.72632433902178,
          -29.945723413211642,
          -30.16159294905341,
          -30.373956224648005,
          -30.582835526649106,
          -30.78825218222987,
          -30.99022658920117,
          -31.188778244394808,
          -31.38392577041261,
          -31.575686940831925,
          -31.76407870395836,
          -31.949117205212133,
          -32.13081780820923,
          -32.30919511462134,
          -32.484262982866426,
          -32.65603454569883,
          -32.82452222674556,
          -32.989737756045656,
          -33.151692184636644,
          -33.31039589823106,
          -33.46585863002944,
          -33.61808947269557,
          -33.76709688954038,
          -33.912888724939464,
          -34.05547221401444,
          -34.19485399160799,
          -34.33104010057621,
          -34.46403599941805,
          -34.59384656926727,
          -34.72047612026263,
          -34.843928397320475,
          -34.96420658531386,
          -35.081313313684596,
          -35.195250660490444,
          -35.306020155908925,
          -35.41362278519967,
          -35.51805899113866,
          -35.61932867592873,
          -35.717431202594184,
          -35.81236539586478,
          -35.90412954255068,
          -35.99272139141289,
          -36.07813815253296,
          -36.16037649617296,
          -36.2394325511367,
          -36.3153019026225,
          -36.387979589566264,
          -36.4574601014697,
          -36.52373737471396,
          -36.586804788339755,
          -36.646655159301105,
          -36.70328073716797,
          -36.75667319828582,
          -36.80682363935885,
          -36.85372257046517,
          -36.897359907471674,
          -36.93772496384601,
          -36.97480644183648,
          -37.00859242301546,
          -37.039070358147995,
          -37.066227056380306,
          -37.09004867371037,
          -37.110520700722645,
          -37.127627949552874,
          -37.1413545400591,
          -37.151683885160736,
          -37.15859867530796,
          -37.1620808620556,
          -37.16211164068264,
          -37.158671431831294,
          -37.15173986210473,
          -37.14129574358121,
          -37.1273170521878,
          -37.10978090487438,
          -37.0886635355263,
          -37.06394026954921,
          -37.03558549705029,
          -37.00357264454452,
          -36.96787414509653,
          -36.92846140681321,
          -36.88530477958266,
          -36.838373519966424,
          -36.787635754123066,
          -36.73305843864743,
          -36.67460731919398,
          -36.61224688674282,
          -36.54594033135533,
          -36.475649493259354,
          -36.40133481107831,
          -36.32295526701797,
          -36.24046832879849,
          -36.15382988810363,
          -36.0629941953052,
          -35.96791379018677,
          -35.86853942838466,
          -35.76482000321601,
          -35.65670246255939,
          -35.544131720397075,
          -35.42705056261461,
          -35.3053995465953,
          -35.179116894117215,
          -35.04813837700367,
          -34.912397194927806,
          -34.77182384471049,
          -34.626345980379234,
          -34.47588826318915,
          -34.3203722007117,
          -34.15971597400678,
          -33.99383425178641,
          -33.8226379903543,
          -33.646034217966495,
          -33.463925802107326,
          -33.27621119799566,
          -33.08278417643141,
          -32.88353352886858,
          -32.67834274733066,
          -32.46708967648884,
          -32.24964613487074,
          -32.025877501777956,
          -31.79564226601205,
          -31.558791531986536,
          -31.31516847817307,
          -31.06460776210726,
          -30.80693486531757,
          -30.541965370556227,
          -30.269504162523685,
          -29.98934454188041,
          -29.7012672406961,
          -29.405039325499768,
          -29.100412971733018,
          -28.787124090560468,
          -28.46489078555005,
          -28.133411612547047,
          -27.79236361095881,
          -27.441400068386645,
          -27.080147972771336,
          -26.70820509657876,
          -26.325136645451384,
          -25.93047138852277,
          -25.52369716822568,
          -25.104255662624226,
          -24.671536241274936,
          -24.22486871384476,
          -23.763514715721502,
          -23.28665740163936,
          -22.793389019762895,
          -22.282695804249407,
          -21.753439438488105,
          -21.204334080443132,
          -20.633917569568577,
          -20.040514894430704,
          -19.422191199383345,
          -18.776690394907202,
          -18.101353549722337,
          -17.393008225922024,
          -16.7495528611516,
          -16.071443969120995,
          -15.475174200098968,
          -14.84736758864923,
          -14.294740712976518,
          -13.71401657733164,
          -13.202378671804045,
          -12.665586111920888,
          -12.192268857360034,
          -11.696337270345426,
          -11.25872032115343,
          -10.800698082687083,
          -10.39624814860052,
          -9.973325989825817,
          -9.599621275707056,
          -9.20914515455375,
          -8.863889631113416,
          -8.503366325014769,
          -8.184396910795046,
          -7.851494581171065,
          -7.556783386772252,
          -7.249328701962375,
          -6.976981856652922,
          -6.692954801976951,
          -6.441208946553461,
          -6.178736128140734,
          -5.945953351237662,
          -5.703300371998481,
          -5.487962148999803,
          -5.263525469917318,
          -5.064226006487839,
          -4.85652458770533,
          -4.671963855960726,
          -4.479630784547101,
          -4.308607456921407,
          -4.130381704729149,
          -3.9717861307257376,
          -3.8065045402646245,
          -3.659311869864991,
          -3.505901435178618,
          -3.369164968108228,
          -3.2266354616623873,
          -3.0994802967065715,
          -2.966917295231663,
          -2.8485343778449947,
          -2.7250927714819833,
          -2.6147335144304362,
          -2.4996316696924943,
          -2.3966035021545307,
          -2.2891184463569783,
          -2.1927820431737945,
          -2.092246467182846,
          -2.0020162477902352,
          -1.9078190319487933,
          -1.823170198598462,
          -1.7347639968472846,
          -1.6552522897972046,
          -1.5721749143108437,
          -1.4974780498500595,
          -1.4193976422053722,
          -1.3493799159232318,
          -1.276166426658961,
          -1.2109212327507342,
          -1.1426969475722473,
          -1.0824414664930535,
          -1.0194736304705125,
          -0.9642581927733475,
          -0.9066430712492246,
          -0.8561486612558216,
          -0.8035775580713588,
          -0.757188661489434,
          -0.7090175316612671,
          -0.6659869542225593,
          -0.6214210318944842,
          -0.5809691963856469,
          -0.5391795529962933,
          -0.5005890888416283,
          -0.460816447277204,
          -0.4198873535378382,
          -0.38485959822317933,
          -0.348807636075181,
          -0.3183350758545382,
          -0.28706861167019876,
          -0.2606061680003195,
          -0.23360102995342427,
          -0.2103760906991592,
          -0.18680133252842288,
          -0.1670184419493211,
          -0.14973269110445755,
          -0.13231074359068629,
          -0.11477222522901995,
          -0.09428244406231595,
          -0.0710188643840306,
          -0.044565956848117406,
          -0.013772048744699911,
          0.011732744278930837,
          0.03725939579039808,
          0.05910173829118388,
          0.08083509803011749,
          0.10240430642426918,
          0.12117118142416296,
          0.13974157375110982,
          0.1580831974972546,
          0.1723820730119964,
          0.18650399838465365,
          0.2028423928172477,
          0.22311012615748296,
          0.24994234046177755,
          0.2714493676561097,
          0.2922306159423666,
          0.3122597268969292,
          0.3315199307622732,
          0.3500034164099336,
          0.3679616402342324,
          0.3856053068938184,
          0.4029779809039178,
          0.4201110225606961,
          0.437027795330521,
          0.45374597519959614,
          0.4702789014737466,
          0.4866364206137211,
          0.5028254376936659,
          0.5188502188555356,
          0.5347122605946889,
          0.5504090635216415,
          0.5659299683644385,
          0.5812443580069186,
          0.5962724624320386,
          0.6108324534206172,
          0.6246170205914052,
          0.6373230803720312,
          0.6488241612748884,
          0.6591516174656975,
          0.6683935366834846,
          0.6766397966612251,
          0.6839666875006544,
          0.6904359699896007,
          0.6960973094216263,
          0.7009909323032856,
          0.7051498366660979,
          0.7086015273524505,
          0.7113693777277892,
          0.7134737225123561,
          0.7149327653024227,
          0.715763363999392,
          0.7159817427182648,
          0.7156041696558106,
          0.7146476361581441,
          0.7131305724902075,
          0.7110736411198739,
          0.7085006606187345,
          0.7054397369052005,
          0.7019247230599304,
          0.6979972156546014,
          0.693709476355714,
          0.6890963388457586,
          0.684184659530292,
          0.6796965637182354,
          0.6757807601416572,
          0.6717369191196421,
          0.6669616825275221,
          0.6612385062101068,
          0.6546210568172202,
          0.6471026286210766,
          0.638652505833228,
          0.6292258904464938,
          0.6187682326671243,
          0.6072172311561791,
          0.5945037541103367,
          0.5805521999717644,
          0.5652805381452994,
          0.5486001501389779,
          0.5304155349989021,
          0.5106239143369228,
          0.4891147570607094,
          0.46576923546833804,
          0.4404349550892606,
          0.4129673460748101,
          0.38321468726722807,
          0.35101365713636534,
          0.3161886819474873,
          0.2785510858209633,
          0.2378982286411607,
          0.19401263943180017,
          0.1466611651132032,
          0.09559415908309556,
          0.040544739382929476,
          -0.018771848895281974,
          -0.08265872841519861,
          -0.1514377015318907,
          -0.22544934155792207,
          -0.3050528333720118,
          -0.3906255483904443,
          -0.48256236214906034,
          -0.5812747536794889,
          -0.687189762174041,
          -0.8007489133032429,
          -0.922407257132616,
          -1.0526326746083001,
          -1.191905602575246,
          -1.3407192959630052,
          -1.4995806939335663,
          -1.6690118931727558,
          -1.8495521698357982,
          -2.0417604439356043,
          -2.2462180542095096,
          -2.4635317099421226,
          -2.694336504179396,
          -2.9392989030410277,
          -3.199119660424172,
          -3.4745366392192056,
          -3.7663275457573193,
          -4.075312602545741,
          -4.40235719505071,
          -4.7483745338722425,
          -5.114328375741002,
          -5.501235846408152,
          -5.910170408126981,
          -6.342265014543749,
          -6.7987154966694305,
          -7.280784227829887,
          -7.789804120546565,
          -8.327183017925735,
          -8.894408556071843,
          -9.493053592566499,
          -10.1247823234387,
          -10.791357248551039,
          -11.494647197811954,
          -12.236636705692476,
          -12.960208898313798,
          -13.665241803924005,
          -14.35292892855184,
          -15.024316873072769,
          -15.680330259925107,
          -16.32179137731951,
          -16.94943586064229,
          -17.563925355829486,
          -18.165857852755043,
          -18.755776197503078,
          -19.334175165211523,
          -19.901507383461105,
          -20.45818832910516,
          -21.004600571730258,
          -21.541097399659392,
          -22.068005936133833,
          -22.585629831650216,
          -23.094251601667715,
          -23.59413466582857,
          -24.085525134536372,
          -24.568653380575288,
          -25.043735426931853,
          -25.510974176737143,
          -25.970560506992715,
          -26.422674244295063,
          -26.86748503793477,
          -27.305153143409928,
          -27.735830127461824,
          -28.159659504146227,
          -28.576777310087532,
          -28.987312625955724,
          -29.39138805025195,
          -29.78912013066535,
          -30.180619757616213,
          -30.565992523975165,
          -30.945339054493783,
          -31.31875530801489,
          -31.68633285518181,
          -32.04815913405952,
          -32.40431768576675,
          -32.75488837202718,
          -33.09994757628704,
          -33.43956838991746,
          -33.773820784814426,
          -34.102771773599656,
          -34.42648555847809,
          -34.745023669727,
          -35.05844509467153,
          -35.36680639792603,
          -35.670161833600545,
          -35.968563450118126,
          -36.26206118821265,
          -36.550702972624805,
          -36.83453479797439,
          -37.113600809250954,
          -37.38794337729738,
          -37.65760316965885,
          -37.9226192171214,
          -38.18302897623396,
          -38.43886838810332,
          -38.6901719336909,
          -38.93697268586441,
          -39.17930235839905,
          -39.41719135213749,
          -39.65066879847516,
          -39.879762600347135,
          -40.10449947085594,
          -40.324904969695275,
          -40.54100353748831,
          -40.75281852816702,
          -40.960372239494305,
          -41.16368594184343,
          -41.36277990532256,
          -41.557673425328424,
          -41.74838484661745,
          -41.934931585973615,
          -42.11733015352273,
          -42.29559617277895,
          -42.46974439947536,
          -42.63978873923083,
          -42.80574226411296,
          -42.96761722813063,
          -43.125425081714475,
          -43.27917648521915,
          -43.42888132148699,
          -43.57454870749763,
          -43.716187005156705,
          -43.85380383123387,
          -43.98740606647445,
          -44.11699986393818,
          -44.24259065654307,
          -44.36418316387736,
          -44.48178139827064,
          -44.59538867014259,
          -44.70500759266388,
          -44.81064008571466,
          -44.91228737917109
         ],
         "y": [
          -34.44150891285808,
          -34.43517444508886,
          -34.37016636119387,
          -34.30213748730504,
          -34.231092541169446,
          -34.15703572226232,
          -34.079970714372685,
          -33.999900687704326,
          -33.91682830049558,
          -33.83075570015973,
          -33.74168452394723,
          -33.6496158991298,
          -33.55455044270497,
          -33.45648826061922,
          -33.35542894650595,
          -33.251371579934336,
          -33.14431472416286,
          -33.03425642339128,
          -32.92119419950263,
          -32.805125048286214,
          -32.686045435130936,
          -32.5639512901771,
          -32.438838002913414,
          -32.31070041620432,
          -32.17953281973147,
          -32.04532894283132,
          -31.908081946709256,
          -31.767784416008737,
          -31.62442834971227,
          -31.478005151348537,
          -31.328505618478417,
          -31.175919931429902,
          -31.020237641249548,
          -30.8614476568356,
          -30.699538231214937,
          -30.53449694692305,
          -30.366310700442913,
          -30.19496568565514,
          -30.02044737624809,
          -29.84274050703223,
          -29.661829054098977,
          -29.477696213759117,
          -29.290324380190803,
          -29.099695121721442,
          -28.905789155661697,
          -28.70858632160282,
          -28.50806555308154,
          -28.304204847508448,
          -28.09698123424713,
          -27.886370740721677,
          -27.672348356419715,
          -27.454887994646377,
          -27.233962451872017,
          -27.009543364502377,
          -26.781601162884478,
          -26.55010502234433,
          -26.31502281103372,
          -26.07632103434231,
          -25.833964775608123,
          -25.587917632833435,
          -25.338141651084623,
          -25.084597250222032,
          -24.827243147570467,
          -24.566036275100508,
          -24.300931690645886,
          -24.03188248263189,
          -23.75883966773251,
          -23.481752080810182,
          -23.200566256419417,
          -22.915226301073556,
          -22.62567375538064,
          -22.331847445048638,
          -22.03368331963914,
          -21.731114277810775,
          -21.42406997763512,
          -21.112476630386084,
          -20.79625677599403,
          -20.47532903811392,
          -20.149607856475786,
          -19.819003193859718,
          -19.483420214656764,
          -19.142758931531766,
          -18.796913816180822,
          -18.445773369559546,
          -18.08921964622824,
          -17.727127726593196,
          -17.359365129788646,
          -16.98579115870403,
          -16.606256167168205,
          -16.220600737495918,
          -15.828654754404575,
          -15.43023635862284,
          -15.02515076020779,
          -14.613188887498524,
          -14.194125842541673,
          -13.767719127439156,
          -13.333706598004524,
          -12.89180409085171,
          -12.441702656872948,
          -11.983065317022003,
          -11.515523234061613,
          -11.038671164575984,
          -10.552062016419852,
          -10.055200284040325,
          -9.547534062196807,
          -9.02844523932347,
          -8.497237332932956,
          -7.953120232704092,
          -7.395190834434744,
          -6.882439090302542,
          -6.354641778592022,
          -5.902132812586981,
          -5.4360477623186325,
          -5.03601722323978,
          -4.624857469392259,
          -4.27179260301465,
          -3.909615632830205,
          -3.5985850328872377,
          -3.2801211827982995,
          -3.0067238787216803,
          -2.727299670191889,
          -2.4876140224441565,
          -2.2430847865485117,
          -2.033619960144983,
          -1.8203092832482641,
          -1.6379583693747402,
          -1.45260208339333,
          -1.2945962582573227,
          -1.1342895907957966,
          -0.9981545453212557,
          -0.8603033057290869,
          -0.7438233917373829,
          -0.6261045274906063,
          -0.5273071707453749,
          -0.42765111947876305,
          -0.34483608173512265,
          -0.2614550626964854,
          -0.19332761109513397,
          -0.1318014920044997,
          -0.077033983134612,
          -0.029418606276918,
          0.009602218170778314,
          0.04869806621364215,
          0.08978964390063879,
          0.1338891230652862,
          0.17945368062416564,
          0.22541334849277514,
          0.27120326225070635,
          0.31676493625717506,
          0.36202667470020444,
          0.4021333405466081,
          0.4418523426958351,
          0.48108783859250387,
          0.514846720188446,
          0.5480487652265225,
          0.5805727928664217,
          0.6075929312886174,
          0.6339119667947722,
          0.6566683863528596,
          0.6786300747487305,
          0.6973050325953699,
          0.7151028719704372,
          0.7299358960598519,
          0.7438167978233727,
          0.7550761747104362,
          0.7653177053908015,
          0.7732881996839456,
          0.7801867422140816,
          0.7851657736063704,
          0.7890331797052419,
          0.7913325028383896,
          0.792497781044936,
          0.7924450068606902,
          0.7912547698214297,
          0.789187618406526,
          0.785998097123183,
          0.7822488380190858,
          0.7774078255076239,
          0.772283981443468,
          0.7661100058486395,
          0.7598804954788353,
          0.7526488585979949,
          0.7455397789112165,
          0.7374792584530718,
          0.72967790422729,
          0.7209760823494401,
          0.712622164304832,
          0.7034191201125848,
          0.694619978004081,
          0.6850213122401493,
          0.6758986128849769,
          0.666027931481379,
          0.6567340714125041,
          0.646751654519361,
          0.6375600267328692,
          0.6277611922518653,
          0.6194741604619028,
          0.6117693348772641,
          0.6037040159932473,
          0.5937334879147629,
          0.5817266383989346,
          0.567379973766437,
          0.5503591377206669,
          0.5341010954047666,
          0.516545227799218,
          0.5002960808039802,
          0.48290698110183006,
          0.4643025532243553,
          0.44706437495608536,
          0.4287471779247839,
          0.40929921225133326,
          0.3886542843595643,
          0.3694549912349105,
          0.3492224785312216,
          0.3279478488232401,
          0.3056121826383934,
          0.2822099860796914,
          0.25775227679538315,
          0.23226934890634715,
          0.20581280180121178,
          0.17768149767887056,
          0.15089869852873425,
          0.12892060735888738,
          0.10918718949908977,
          0.08922345792935456,
          0.06614865239088173,
          0.03995505207078798,
          0.01036631977264791,
          -0.022680515882416766,
          -0.05588059555385078,
          -0.08883030227062452,
          -0.12141070967446121,
          -0.15352680531236215,
          -0.1851061743967857,
          -0.21609664451605431,
          -0.24646341855695295,
          -0.27618609512424663,
          -0.30525584013824997,
          -0.3336728578167646,
          -0.36144422390704056,
          -0.3890673000033469,
          -0.4168605940672547,
          -0.4449420909912183,
          -0.4734862028941414,
          -0.5027915725246931,
          -0.5335265922477516,
          -0.5609319846060491,
          -0.587717249442512,
          -0.6138725686401459,
          -0.6410012519756375,
          -0.6689034925210384,
          -0.6974828979592519,
          -0.7267246465120636,
          -0.7566463677257788,
          -0.7872812929093475,
          -0.818671637508765,
          -0.8508656634243535,
          -0.8839162963090068,
          -0.917880480072232,
          -0.9528268708833042,
          -0.9888652706193907,
          -1.026059997820042,
          -1.064481853187196,
          -1.1042062769469292,
          -1.1453133322667495,
          -1.1878876158433849,
          -1.232018107293854,
          -1.2777979031680873,
          -1.3253237797498902,
          -1.3746955254200304,
          -1.4260149843065337,
          -1.4793847634390478,
          -1.5349065823849872,
          -1.5926792941374481,
          -1.652796682722026,
          -1.7153452416551183,
          -1.7804022382424998,
          -1.848034434418762,
          -1.9182978189709168,
          -1.991238575754799,
          -2.0668952791363773,
          -2.1453020384909474,
          -2.226492108650196,
          -2.3105014216237882,
          -2.3973715886710782,
          -2.4871521142287265,
          -2.579901769428691,
          -2.6756892276389483,
          -2.7745931433286,
          -2.876701868586603,
          -2.9821129744964225,
          -3.0909327012786423,
          -3.2032754186199957,
          -3.3192631425324333,
          -3.4390251307139486,
          -3.5626975621408836,
          -3.690423297610031,
          -3.8223517131242204,
          -3.9586385962292585,
          -4.0994460951944784,
          -4.244942711563829,
          -4.395303327547529,
          -4.550709260936117,
          -4.71134834103129,
          -4.877415000116723,
          -5.049110375551621,
          -5.226642418363362,
          -5.4102260041961525,
          -5.600083043187825,
          -5.796442585064277,
          -5.999540916071008,
          -6.20962164402017,
          -6.426935767733177,
          -6.651741726711652,
          -6.884305426558572,
          -7.1249002352120385,
          -7.3738069442533,
          -7.631313689122513,
          -7.897715820869453,
          -8.173315721327585,
          -8.458422552031996,
          -8.753351926261473,
          -9.058425491146078,
          -9.373970405567187,
          -9.700318696608127,
          -10.037806474574966,
          -10.386772983499695,
          -10.747559459524739,
          -11.120507765195814,
          -11.505958761241887,
          -11.904250370825302,
          -12.315715282319006,
          -12.740678225909365,
          -13.179452746641685,
          -13.632337380167067,
          -14.09961111744333,
          -14.581085718925152,
          -15.040047780844176,
          -15.478517807979333,
          -15.898211151012488,
          -16.300599487900357,
          -16.68695717286803,
          -17.05839677984621,
          -17.415896775246647,
          -17.760323355830607,
          -18.092447892128824,
          -18.412961014988884,
          -18.722484104734377,
          -19.02157874701676,
          -19.31075457990386,
          -19.590475855624543,
          -19.861166966110744,
          -20.123217126234014,
          -20.376984367077686,
          -20.622798959990366,
          -20.860966367910027,
          -21.091769801651388,
          -21.31547244416339,
          -21.532319394192207,
          -21.74253937160454,
          -21.94634621928716,
          -22.143940230634932,
          -22.335509326860294,
          -22.52123010446563,
          -22.70126877003255,
          -22.87578197685974,
          -23.044917575809894,
          -23.208815290922733,
          -23.367607328844734,
          -23.52141892986313,
          -23.670368867267428,
          -23.8145699008638,
          -23.95412918970303,
          -24.089148668434788,
          -24.219725391144493,
          -24.34595184605377,
          -24.467916244056177,
          -24.585702783706726,
          -24.699391894977985,
          -24.809060463831475,
          -24.914782039421404,
          -25.016627025548082,
          -25.11466285780145,
          -25.20895416768176,
          -25.299562934849206,
          -25.38654862853502,
          -25.469968339041046,
          -25.549876900163202,
          -25.62632700328992,
          -25.699369303855633,
          -25.76905252076279,
          -25.835423529329134,
          -25.898527448264133,
          -25.95840772113358,
          -26.015106192728517,
          -26.068663180718964,
          -26.11911754293824,
          -26.166506740614356,
          -26.21086689783803,
          -26.252232857531844,
          -26.290638234163353,
          -26.326115463424898,
          -26.35869584908484,
          -26.388409607198152,
          -26.415285907849793,
          -26.439352914590472,
          -26.460637821711945,
          -26.47916688949759,
          -26.494965477574326,
          -26.508058076481497,
          -26.51846833756458,
          -26.526219101293385,
          -26.531332424096398,
          -26.5338296037978,
          -26.533731203736114,
          -26.531057075638614,
          -26.52582638131983,
          -26.51805761326835,
          -26.507768614181174,
          -26.49497659550111,
          -26.479698155008244,
          -26.46194929351416,
          -26.441745430703275,
          -26.41910142016327,
          -26.394031563642944,
          -26.366549624574702,
          -26.336668840894664,
          -26.304401937192814,
          -26.26976113622164,
          -26.23275816979178,
          -26.193404289079684,
          -26.15171027437115,
          -26.107686444263326,
          -26.061342664345442,
          -26.012688355377946,
          -25.961732500987406,
          -25.90848365489439,
          -25.85294994768879,
          -25.795139093167855,
          -25.735058394249016,
          -25.672714748470128,
          -25.60811465308793,
          -25.541264209784526,
          -25.472169128991794,
          -25.400834733840775,
          -25.327265963744328,
          -25.25146737761928,
          -25.17344315675356,
          -25.093197107323444,
          -25.01073266256478,
          -24.926052884602154,
          -24.83916046593768,
          -24.75005773060214,
          -24.65874663496871,
          -24.565228768230522,
          -24.46950535254092,
          -24.371577242815775,
          -24.271444926195443,
          -24.169108521164233,
          -24.06456777632354,
          -23.95782206881457,
          -23.848870402385224,
          -23.737711405095684,
          -23.62434332665537,
          -23.50876403538397,
          -23.39097101478726,
          -23.270961359738614,
          -23.1487317722552,
          -23.02427855685675,
          -22.897597615494306,
          -22.768684442034758,
          -22.637534116285064,
          -22.504141297539917,
          -22.368500217634477,
          -22.230604673481746,
          -22.09044801907367,
          -21.948023156922222,
          -21.803322528915633,
          -21.65633810656229,
          -21.5070613805928,
          -21.355483349888804,
          -21.201594509703767,
          -21.045384839139285,
          -20.88684378783623,
          -20.72596026183818,
          -20.56272260857975,
          -20.397118600950282,
          -20.229135420377297,
          -20.05875963887142,
          -19.885977199968814,
          -19.710773398501782,
          -19.533132859122286,
          -19.353039513497958,
          -19.170476576091247,
          -18.985426518426483,
          -18.797871041740688,
          -18.60779104790386,
          -18.415166608486395,
          -18.219976931837483,
          -18.022200328028227,
          -17.82181417149848,
          -17.618794861231326,
          -17.413117778262322,
          -17.20475724031247,
          -16.99368645331218,
          -16.7798774595618,
          -16.563301082246284,
          -16.343926865995147,
          -16.121723013144283,
          -15.896656315321652,
          -15.668692079936571,
          -15.437794051107458,
          -15.203924324510028,
          -14.967043255570216,
          -14.7271093603587,
          -14.484079208468959,
          -14.237907307074657,
          -13.988545975264742,
          -13.735945207642088,
          -13.480052526043979,
          -13.220812818095936,
          -12.958168161140675,
          -12.692057629889986,
          -12.422417085921829,
          -12.149178946884026,
          -11.872271932963345,
          -11.591620787826852,
          -11.307145970830826,
          -11.018763316813292,
          -10.726383659223698,
          -10.429912411683295,
          -10.129249102296667,
          -9.824286854122654,
          -9.5149118041435,
          -9.201002451812913,
          -8.882428926788693,
          -8.559052163735819,
          -8.230722970092362,
          -7.89728097041306,
          -7.558553408355821,
          -7.214353784628643,
          -6.8644803064528634,
          -6.508714121722246,
          -6.146817309847954,
          -5.778530602850254,
          -5.403570817609422,
          -5.021627999175205,
          -4.632362317064532,
          -4.235400844231206,
          -3.8303345280510093,
          -3.475645812014811,
          -3.1119532074390293,
          -2.8023079760613383,
          -2.4851833450311926,
          -2.2149491381103736,
          -1.9388599844525323,
          -1.7035062236724778,
          -1.463621366772312,
          -1.2591350984672565,
          -1.051206035837755,
          -0.87403168296842,
          -0.6943150008917559,
          -0.5413008909330157,
          -0.3864933315152646,
          -0.25484495838495325,
          -0.12202845690377782,
          -0.009267547057713902,
          0.10413772734820208,
          0.20020913476404872,
          0.29648519618017627,
          0.3778163270465099,
          0.45898236491038735,
          0.5273015206130173,
          0.5951443458396564,
          0.6519834451373627,
          0.708084102849302,
          0.7548003993175004,
          0.8005575491281478,
          0.8383529393421063,
          0.8750035408941566,
          0.9049418842353503,
          0.9335797140182568,
          0.9566026415023166,
          0.978195220316312,
          0.9951370389628825,
          1.0105416852862725,
          1.0221441947913876,
          1.0321241334808655,
          1.039052386186986,
          1.0442940192752967,
          1.0471539266271048,
          1.0482860827659017,
          1.04764345989551,
          1.045257737105552,
          1.041654982283969,
          1.0363223883382888,
          1.0302850234292438,
          1.0225601919575253,
          1.0145871313766288,
          1.0049944461370917,
          0.9955366810058045,
          0.9845452712327821,
          0.973987074327418,
          0.9619908430730183,
          0.9506436423859094,
          0.9379564400303473,
          0.9260648353071147,
          0.9129288514586822,
          0.9006829984587384,
          0.8872833979053046,
          0.8748330759657128,
          0.8613137299890651,
          0.8487822828378946,
          0.8352608052258328,
          0.8227151505494316,
          0.8092577063306372,
          0.7967835532278961,
          0.7834718596118218,
          0.7711877071130304,
          0.7581418387548172,
          0.7462264493943875,
          0.7336333419383938,
          0.7224292508959259,
          0.7106524534223685,
          0.7011084409748508,
          0.6924561040757504,
          0.683505094076759,
          0.6728110093872353,
          0.6604687602061422,
          0.6465800837885713,
          0.6310935223025141,
          0.6138244452874203,
          0.5944618970103572,
          0.5728050280937621,
          0.5495541164781368,
          0.5288505156850314,
          0.5067213802828759,
          0.4862321874339216,
          0.4644921865219237,
          0.4414474188576393,
          0.4205952719473039,
          0.3986149439105839,
          0.3754907492541097,
          0.3539904877072678,
          0.3314935750553883,
          0.30800806559172605,
          0.28352551035203677,
          0.25805173333566034,
          0.23447582207457196,
          0.2101566397094231,
          0.18507420656362034,
          0.15882904273650872,
          0.13057984765199218,
          0.10244996837768194,
          0.08194674806312105,
          0.061209165964318316,
          0.03942614160552349,
          0.015222416012171891,
          -0.010993062871898352,
          -0.03918844833106501,
          -0.06944004768991704,
          -0.10136616314328226,
          -0.13348156409698173,
          -0.16507355441492058,
          -0.19606959276039757,
          -0.22641751781065286,
          -0.256082979307339,
          -0.2850465881033945,
          -0.3133010960103683,
          -0.34084880018151464,
          -0.3676992725083002,
          -0.3938674472649282,
          -0.41937205760287805,
          -0.4442343879721153,
          -0.4684772992715152,
          -0.49212448158058564,
          -0.5151998920609542,
          -0.5377273405968083,
          -0.5675740061357049,
          -0.5991714130027956,
          -0.6297431195131331,
          -0.659355305888682,
          -0.6880694847403273,
          -0.716882810027313,
          -0.7460128693538639,
          -0.7755714399537399,
          -0.8056497028508347,
          -0.8363276517159156,
          -0.8677051494859793,
          -0.899875284373108,
          -0.9329039699977518,
          -0.9668590183351531,
          -1.0018097956406349,
          -1.0378275759295257,
          -1.0749857005323948,
          -1.113359562603816,
          -1.153026387936627,
          -1.1940647708661913,
          -1.2365539163407824,
          -1.2805725412234181,
          -1.3261974060738895,
          -1.3735014912063626,
          -1.4225519046513053,
          -1.473407714132543,
          -1.5261180128684855,
          -1.5807206193359415,
          -1.6372418150806805,
          -1.6956973920523393,
          -1.7560950130735387,
          -1.8184375652708036,
          -1.8827269389640438,
          -1.9489676016766901,
          -2.017169472272655,
          -2.087349850830444,
          -2.1595344094019477,
          -2.233757416114224,
          -2.310061431056115,
          -2.3884967011763005,
          -2.4691204312936605,
          -2.5519960495834644,
          -2.6371925354357737,
          -2.7247838411907916,
          -2.8148484157730214,
          -2.9074688253987158,
          -3.002731459982932,
          -3.100726311921171,
          -3.2015468139846766,
          -3.3052897242603794,
          -3.412055047749885,
          -3.5219459858207305,
          -3.6350689062053,
          -3.7515333274569973,
          -3.871451912897048,
          -3.9949404696737347,
          -4.1221179493527735,
          -4.253106446733117,
          -4.388031193994386,
          -4.527020547320548,
          -4.670205963341584,
          -4.817721962553638,
          -4.969706076994559,
          -5.126298779037953,
          -5.287643388081662,
          -5.453885951582293,
          -5.6251750963500475,
          -5.801661845768599,
          -5.983499397774106,
          -6.170842857975185,
          -6.363848921421336,
          -6.5626754955668885,
          -6.767481255921855,
          -6.978425124615933,
          -7.19566566056435,
          -7.419360348166766,
          -7.649664769292551,
          -7.8867316408235455,
          -8.130709697032728,
          -8.381742392352775,
          -8.639966395836524,
          -8.90550984295052,
          -9.178490304339078,
          -9.45901242253114,
          -9.747165158110771,
          -10.043018573880616,
          -10.346620070318671,
          -10.65798996524212,
          -10.97711628490336,
          -11.299724842113772,
          -11.60527809863329,
          -11.895348118455155,
          -12.17126798693515,
          -12.434180043672391,
          -12.685072252873908,
          -12.924806095844,
          -13.154138284613495,
          -13.373737893123513,
          -13.584200036491616,
          -13.786056913198317,
          -13.979786806905935,
          -14.165821491235109,
          -14.344552371219045,
          -14.516335615688387,
          -14.681496476445226,
          -14.84033294664577,
          -14.993118878126396,
          -15.140106652560053,
          -15.281529482247315,
          -15.417603401565867,
          -15.548528998549266,
          -15.67449292696901,
          -15.795669232074566,
          -15.91222051737758,
          -16.02429897522669,
          -16.132047300164995,
          -16.23559950100457,
          -16.33508162505088,
          -16.43061240585029,
          -16.52230384413019,
          -16.610261730188306,
          -16.694586114803226,
          -16.775371734751907,
          -16.852708398182717,
          -16.92668133439072,
          -16.997371511944422,
          -17.064855928602483,
          -17.129207876028318,
          -17.19049718193416,
          -17.248790431969848,
          -17.304151173393375,
          -17.356640102322935,
          -17.40631523616201,
          -17.453232072611844,
          -17.497443736524986,
          -17.539001115720282,
          -17.577952986757108,
          -17.614346131562616,
          -17.64822544571244,
          -17.679634039083897,
          -17.70861332952732,
          -17.735203130139052,
          -17.759441730661123,
          -17.781365973482675,
          -17.801011324673862,
          -17.81841194044146,
          -17.833600729361287,
          -17.846609410708382,
          -17.85746856917908,
          -17.86620770627234,
          -17.87285528857332,
          -17.87743879316403,
          -17.879984750363857,
          -17.88051878398801,
          -17.87906564929541,
          -17.875649268783135,
          -17.870292765973026,
          -17.863018497323967,
          -17.85384808239265,
          -17.842802432355267,
          -17.829901776996643,
          -17.815165690262145,
          -17.79861311446219,
          -17.78026238321262,
          -17.760131243186347,
          -17.738236874749774,
          -17.714595911547534,
          -17.689224459097918,
          -17.662138112456788,
          -17.633351973001805,
          -17.602880664386618,
          -17.570738347711035,
          -17.53693873595059,
          -17.501495107684676,
          -17.4644203201604,
          -17.425726821728013,
          -17.385426663679425,
          -17.343531511520755,
          -17.30005265570675,
          -17.255001021864658,
          -17.208387180531346,
          -17.160221356427563,
          -17.110513437291253,
          -17.059272982289773,
          -17.006509230030645,
          -16.95223110618896,
          -16.896447230767848,
          -16.83916592500732,
          -16.780395217957906,
          -16.720142852730756,
          -16.65841629243905,
          -16.59522272584183,
          -16.5305690727019,
          -16.464461988868837,
          -16.396907871095987,
          -16.327912861602133,
          -16.257482852386143,
          -16.185623489301815,
          -16.112340175901704,
          -16.0376380770564,
          -15.961522122355863,
          -15.883997009299039,
          -15.805067206277453,
          -15.724736955357116,
          -15.643010274865375,
          -15.559890961784921,
          -15.475382593960129,
          -15.38948853211982,
          -15.302211921718255,
          -15.213555694598304,
          -15.123522570479233,
          -15.032115058270977,
          -14.93933545721721,
          -14.845185857868291,
          -14.749668142885941,
          -14.65278398768023,
          -14.554534860879404,
          -14.454922024633504,
          -14.353946534751216,
          -14.251609240669753,
          -14.147910785257656,
          -14.042851604449424,
          -13.93643192671059,
          -13.82865177233227,
          -13.719510952552554,
          -13.60900906850429,
          -13.49714550998521,
          -13.383919454048177,
          -13.269329863409626,
          -13.153375484671244,
          -13.036054846352133,
          -12.917366256727746,
          -12.797307801470588,
          -12.67587734108837,
          -12.553072508154408,
          -12.428890704325235,
          -12.303329097139674,
          -12.176384616592763,
          -12.048053951479066,
          -11.918333545497847,
          -11.787219593113315,
          -11.654708035162727,
          -11.520794554204059,
          -11.385474569595624,
          -11.248743232299438,
          -11.110595419399841,
          -10.971025728327815,
          -10.830028470783377,
          -10.68759766634616,
          -10.54372703576622,
          -10.398409993925503,
          -10.25163964246198,
          -10.10340876204881,
          -9.953709804320779,
          -9.802534883442243,
          -9.649875767311269,
          -9.49572386839682,
          -9.340070234208666,
          -9.18290553740041,
          -9.02422006551227,
          -8.864003710362995,
          -8.702245957106207,
          -8.538935872973695,
          -8.374062095736308,
          -8.207612821924881,
          -8.039575794865518,
          -7.869938292599922,
          -7.698687115783547,
          -7.525808575676432,
          -7.351288482374489,
          -7.1751121334671755,
          -6.997264303352224,
          -6.817729233501453,
          -6.636490624039637,
          -6.453531627094614,
          -6.268834842486606,
          -6.082382316472037,
          -5.894155544434819,
          -5.704135478647488,
          -5.512302542514536,
          -5.3186366530779665,
          -5.123117254040325,
          -4.925723362166728,
          -4.726433630717486,
          -4.5252264345878945,
          -4.322079983179239,
          -4.116972468799268,
          -3.9098822607538453,
          -3.7007881584595146,
          -3.48966972119059,
          -3.2765076979263097,
          -3.0612845888368683,
          -2.84398538121012,
          -2.624598518532156,
          -2.4031171842030505,
          -2.1795410144424965,
          -1.953878403745546,
          -1.7261496395689702,
          -1.4963912152556516,
          -1.2646618461076784,
          -1.0310509958383005,
          -0.7956911865061015,
          -0.5587761584951038,
          -0.35715454553553067,
          -0.1533973515290498,
          0.017323636188483996,
          0.18927471442399502,
          0.33321371838053054,
          0.47755645222601084,
          0.5981580963508606,
          0.718510611836455,
          0.818775704302544,
          0.9182731961790973,
          1.000820218172616,
          1.0821868550437188,
          1.1493037127318264,
          1.214911441574967,
          1.2685991718695018,
          1.3205164586275118,
          1.3625264103401922,
          1.402559096528437,
          1.4344247714962925,
          1.464150656827187,
          1.4872151576637103,
          1.5080135398991357,
          1.5234534076508128,
          1.536530561622735,
          1.5453766850511446,
          1.5517881099460389,
          1.554944344556692,
          1.5556145368770526,
          1.5538746875523795,
          1.5496152011333713,
          1.5436790938567686,
          1.5352057173443496,
          1.5256951738964692,
          1.5136451363561692,
          1.501120619084453,
          1.4860706387245606,
          1.4710487535778085,
          1.4535340070381437,
          1.4365042744143006,
          1.417036243873534,
          1.3984723524862033,
          1.377549882577736,
          1.357908348834824,
          1.336013971498926,
          1.3157171527807152,
          1.2932959234874415,
          1.27270757979126,
          1.250138620046867,
          1.2295472120210855,
          1.20712533376416,
          1.186743396407263,
          1.1646795440838342,
          1.1446557141118592,
          1.123091545056523,
          1.1035274194236429,
          1.0825547875567672,
          1.0635213210793282,
          1.0432006622345649,
          1.0247525285606018,
          1.005128481682059,
          0.9872973494870384,
          0.9683969916467757,
          0.9511811861738226,
          0.9329976793087591,
          0.9164702438013466,
          0.8990726603982421,
          0.8833529756623398,
          0.86686257743416,
          0.8521724133334808,
          0.8368198428326719,
          0.8236406771520002,
          0.8115326203190303,
          0.8011609646004009,
          0.7904686552176894,
          0.7792020550980402,
          0.7661141938660377,
          0.7515422238554271,
          0.7356525035776741,
          0.7185100335931246,
          0.7001101799222226,
          0.6803868972912748,
          0.6592093128856802,
          0.6363767273673285,
          0.6116517364557412,
          0.5849991903736631,
          0.5566066500348954,
          0.5314228035331338,
          0.5046554198728896,
          0.48031992467248713,
          0.4546257205978678,
          0.43072863919690346,
          0.4056317133745003,
          0.37932131151032566,
          0.35578674725722825,
          0.3312384127513529,
          0.3057067806040351,
          0.282197960573137,
          0.2578847995936727,
          0.23280418505115316,
          0.20698304244491508,
          0.18046261903504476,
          0.15329944655520011,
          0.125565518572174,
          0.09734748102754623,
          0.06822684944421706,
          0.045824962267768776,
          0.023155070035891893,
          0.00042842210725109757,
          -0.022905624298326117,
          -0.0474159103262883,
          -0.07298111751383805,
          -0.09961450104204052,
          -0.1274153478021398,
          -0.15648127883299592,
          -0.1866056121900339,
          -0.21671703522568528,
          -0.24610363048949438,
          -0.27473673442216034,
          -0.302602434889577,
          -0.3268110486999441,
          -0.3504122600907489,
          -0.37341564756974893,
          -0.39583427044525005,
          -0.41768372190706243,
          -0.438981350580887,
          -0.45667463424960375,
          -0.4739938503962963,
          -0.4909508946905532,
          -0.5113627647488139,
          -0.5349597515480041,
          -0.5620007709032222,
          -0.5912838869371719,
          -0.6199942472315126,
          -0.6478148343012128,
          -0.6752100620261225,
          -0.7025008016828285,
          -0.7298878681586597,
          -0.7575113788981771,
          -0.7855016785487545,
          -0.813971390507223,
          -0.8429944081689226,
          -0.8726401383967392,
          -0.9029748666815582,
          -0.9340631126395278,
          -0.9659684234134084,
          -0.9987537630841485,
          -1.0324815517089525,
          -1.067213361573962,
          -1.1030092527996116,
          -1.1399267242172282,
          -1.1780192732552974,
          -1.2173346084629675,
          -1.2579126467772694,
          -1.299783549534898,
          -1.3429661776041406,
          -1.3874674166551888,
          -1.4332827629937877,
          -1.480398324237423,
          -1.5287940235020834,
          -1.5784474468747827,
          -1.6293376110220656,
          -1.6814480248215404,
          -1.7347687034859114,
          -1.7892971112921214,
          -1.8450382330215396,
          -1.9020040635943185,
          -1.960212789779331,
          -2.019687870431263,
          -2.080457145572161,
          -2.1425520421840227,
          -2.206006901911632,
          -2.27085843074473,
          -2.3371452581612098,
          -2.4049075883299884,
          -2.474186925551024,
          -2.545025857659166,
          -2.6174678834322136,
          -2.6915572725251047,
          -2.767338948639733,
          -2.8448583884175833,
          -2.9241615301509847,
          -3.0052946874558675,
          -3.088304463981913,
          -3.173237665885626,
          -3.2601412092530357,
          -3.3490620199725383,
          -3.440046923770277,
          -3.5331425242595955,
          -3.6283950668105445,
          -3.7258502861027436,
          -3.8255532350737966,
          -3.9275480928129443,
          -4.031877948870484,
          -4.138584561029079,
          -4.247708083404711,
          -4.359286761384469,
          -4.473356589419991,
          -4.589950927270462,
          -4.709100069682973,
          -4.830830763825269,
          -4.955165667999491,
          -5.082122744350498,
          -5.211714577027334,
          -5.343947606193985,
          -5.47882126667093,
          -5.616327018305864,
          -5.756447252988182,
          -5.89915406088167,
          -6.044407835194373,
          -6.192155691303943,
          -6.342329671608442,
          -6.494844701759279,
          -6.649596257519057,
          -6.806457692563476,
          -6.9652771673450244,
          -7.125874105296264,
          -7.288035085358127,
          -7.451509057533314,
          -7.616001738311901,
          -7.779523774577767,
          -7.931292090228544,
          -8.072469163333167,
          -8.204035478463513,
          -8.326826986852378,
          -8.441563220922667,
          -8.548868759509963,
          -8.64928986742285,
          -8.743307570524667,
          -8.83134805602259,
          -8.913791036851677,
          -8.990976546370739,
          -9.063210508572428,
          -9.1307693428266,
          -9.193903799876542,
          -9.252842180174369,
          -9.307793051788346,
          -9.358947559721173,
          -9.406481399216753,
          -9.450556510886479,
          -9.491322544091789,
          -9.528918126132895,
          -9.563471967815447,
          -9.595103830441735,
          -9.623925374866667,
          -9.650040909725595,
          -9.673548053083982,
          -9.694538319440802,
          -9.713097642122538,
          -9.729306839549507,
          -9.743242032571532,
          -9.754975019002245,
          -9.76457361060055,
          -9.77210193699682,
          -9.7776207204449,
          -9.781187524750015,
          -9.782856981280041,
          -9.782680994585686,
          -9.780708929837274,
          -9.77698778400469,
          -9.771562342471832,
          -9.764475322574453,
          -9.755767505372038,
          -9.745477856811902,
          -9.733643639312861,
          -9.72030051467845,
          -9.705482639151457,
          -9.689222751330597,
          -9.67155225359626,
          -9.652501287621936,
          -9.632098804489528,
          -9.610372629873046,
          -9.587349524709431,
          -9.563055241735439,
          -9.537514578227851,
          -9.510751425257032,
          -9.482788813733674,
          -9.453648957498814,
          -9.42335329368959,
          -9.391922520587812,
          -9.359376633143723,
          -9.325734956345206,
          -9.29101617659557,
          -9.255238371240468,
          -9.2184190363803,
          -9.18057511308688,
          -9.141723012137847,
          -9.101878637371312,
          -9.06105740775463,
          -9.019274278252835,
          -8.976543759581244,
          -8.932879936910577,
          -8.888296487596472,
          -8.842806697996652,
          -8.796423479431438,
          -8.749159383345567,
          -8.70102661571739,
          -8.652037050766687,
          -8.602202243999388,
          -8.55153344463479,
          -8.500041607448022,
          -8.447737404066862,
          -8.39463123375173,
          -8.340733233692612,
          -8.286053288848992,
          -8.230601041361172,
          -8.174385899557064,
          -8.117417046577186,
          -8.059703448641754,
          -8.001253862977997,
          -7.942076845429375,
          -7.882180757763112,
          -7.821573774694822,
          -7.7602638906441195,
          -7.698258926239879,
          -7.635566534586151,
          -7.572194207305314,
          -7.508149280368426,
          -7.443438939728563,
          -7.378070226765754,
          -7.3120500435567894,
          -7.245385157979806,
          -7.1780822086626435,
          -7.110147709787885,
          -7.041588055759603,
          -6.972409525744868,
          -6.9026182880965115,
          -6.832220404664932,
          -6.761221835009342,
          -6.689628440514136,
          -6.6174459884195524,
          -6.5446801557723555,
          -6.47133653330632,
          -6.397420629257286,
          -6.322937873121225,
          -6.247893619362899,
          -6.172293151079355,
          -6.096141683629233,
          -6.019444368231477,
          -5.942206295541907,
          -5.864432499214076,
          -5.786127959453033,
          -5.707297606566424,
          -5.627946324524379,
          -5.548078954530355,
          -5.467700298616288,
          -5.38681512326642,
          -5.305428163079627,
          -5.22354412447716,
          -5.141167689467746,
          -5.058303519476513,
          -4.974956259249746,
          -4.891130540844073,
          -4.8068309877121695,
          -4.722062218895867,
          -4.636828853339825,
          -4.55113551433803,
          -4.464986834126621,
          -4.378387458639369,
          -4.291342052439838,
          -4.203855303848989,
          -4.115931930284704,
          -4.027576683834819,
          -3.9387943570835215,
          -3.8495897892149786,
          -3.7599678724176617,
          -3.669933558617721,
          -3.579491866570252,
          -3.488647889339186,
          -3.397406802202741,
          -3.3057738710188085,
          -3.2137544610948683,
          -3.1213540466052163,
          -3.0285782206058083,
          -2.9354327057004617,
          -2.841923365419613,
          -2.7480562163734366,
          -2.653837441256466,
          -2.5592734027784294,
          -2.46437065861441,
          -2.3691359774663376,
          -2.2735763563499463,
          -2.177699039221691,
          -2.081511537083206,
          -1.9850216497113553,
          -1.8882374891788833,
          -1.7911675053521143,
          -1.6938205135764268,
          -1.5962057247794965,
          -1.4983327782576998,
          -1.4002117774432516,
          -1.3018533289832421,
          -1.2032685855130145,
          -1.1044692925519632,
          -1.0054678400098733,
          -0.906277318862088,
          -0.8069115836275288,
          -0.7073853213785617,
          -0.6077141281190146,
          -0.507914593492854,
          -0.40800439493477264,
          -0.3080024025512609,
          -0.20792879622528973,
          -0.10780519669207962,
          -0.007654812621034244,
          0.09249739390108114,
          0.19262452066560984,
          0.2926975140842509,
          0.3926849294151424,
          0.4925526577507619,
          0.592263614109174,
          0.6917773798142249,
          0.7910497909204498,
          0.8900324626561679,
          0.9886722376114212,
          1.0869105425738292,
          1.1846826353038415,
          1.2819167179234343,
          1.378532887613964,
          1.4744418875242271,
          1.5695436105301102,
          1.6637252948478276,
          1.756859332172261,
          1.8488005840954287,
          1.9393830682637654,
          2.028415827871347,
          2.115677730309868,
          2.2009108432325024,
          2.2838118933169067,
          2.3640210993212336,
          2.4411073445185414,
          2.5145481422990743,
          2.58370202554261,
          2.6477696226271945,
          2.697508850192829,
          2.7423457258674797,
          2.775053637745163,
          2.80280121815811,
          2.8213371037482213,
          2.8348735050516845,
          2.8415946447473206,
          2.843326629519045,
          2.8402209576074475,
          2.8321715074453864,
          2.8209200351659747,
          2.8047950402382,
          2.7868220840482656,
          2.7640634065625975,
          2.7405774893191768,
          2.7124058470765524,
          2.6844334299388852,
          2.651883564571416,
          2.6202972447441595,
          2.5842472094872826,
          2.549789681726856,
          2.5109856866542044,
          2.474290564033017,
          2.433368582697771,
          2.3949790701685005,
          2.3524842952381797,
          2.312870667053122,
          2.269275852173423,
          2.228852609737815,
          2.1845762420726764,
          2.1437195008122334,
          2.0991443574095023,
          2.0582089899407285,
          2.01370044394832,
          1.9730342657361644,
          1.9289551539401395,
          1.8889043041850468,
          1.8456196854181792,
          1.8065183771407198,
          1.7643826149100688,
          1.7265267667079174,
          1.685852767696136,
          1.6494696459575422,
          1.6104942457358138,
          1.5757259184912136,
          1.5385913729507434,
          1.5054996184941793,
          1.4702594469993406,
          1.4388454008762772,
          1.405486747952601,
          1.3757142055801495,
          1.3441841154853589,
          1.315999717803224,
          1.286227637501284,
          1.2595764271868861,
          1.2314912158998517,
          1.206328948931324,
          1.1798719249355543,
          1.156089604274261,
          1.1311514849593072,
          1.1087364169974991,
          1.0852924312840482,
          1.0642937409761979,
          1.0423888563764936,
          1.022938773241145,
          1.002706785092365,
          0.9851080060971157,
          0.9668616046567687,
          0.9518992102993137,
          0.9389176642874331,
          0.9255865703878728,
          0.9119245196142851,
          0.8966834257393396,
          0.8798684604976267,
          0.86174837968035,
          0.842484829362487,
          0.8221722956133379,
          0.8008591823209036,
          0.7785571915536786,
          0.7552444750705034,
          0.7308647196778748,
          0.7053232668919186,
          0.678482351630617,
          0.6501641771164004,
          0.6201972490401746,
          0.5885394762609525,
          0.5550130483478846,
          0.525505091800837,
          0.49428956302677335,
          0.46638695736662705,
          0.43705075079706335,
          0.41032497660220457,
          0.38238844384174314,
          0.3565639437934497,
          0.32971604873171223,
          0.30187479172403486,
          0.2770535215827924,
          0.2514454061434253,
          0.225105647333898,
          0.19806079894959233,
          0.1736540053548829,
          0.14876779248616476,
          0.12345114889416028,
          0.09776211031921977,
          0.07176792259251014,
          0.0452436183335942,
          0.0161867843025174,
          -0.005160298465491245,
          -0.026496345837011485,
          -0.04793919930735581,
          -0.07023564608586551,
          -0.0931585686397698,
          -0.11664165753920716,
          -0.1407299588496495,
          -0.16555453185110872,
          -0.19133891939921355,
          -0.21838290377399963,
          -0.2466895899692676,
          -0.2746091522796453,
          -0.29901996593653757,
          -0.3227580486566513,
          -0.345827541050046,
          -0.3682383154128562,
          -0.38715547559839464,
          -0.40559898704281705,
          -0.42104917227306876,
          -0.4361688078463346,
          -0.45096679146366786,
          -0.46743292176475526,
          -0.48588095075799925,
          -0.5061884041467453,
          -0.5284394755092738,
          -0.5527306822074496,
          -0.5786420656132143,
          -0.6048739308079844,
          -0.6306227286457236,
          -0.6559212557374207,
          -0.680984421751292,
          -0.7059929786710173,
          -0.7311273230686233,
          -0.7564880324690084,
          -0.7821574242519012,
          -0.8082064479721396,
          -0.8346984420706781,
          -0.8616914271086844,
          -0.8892394573740018,
          -0.9173933093151866,
          -0.9462006430150423,
          -0.9757056947259056,
          -1.0059485213327402,
          -1.0369638161865362,
          -1.0687793543705462,
          -1.101414210626171,
          -1.1348770204435767,
          -1.1691646926310655,
          -1.2042620581872794,
          -1.2401428608296066,
          -1.2767722040088711,
          -1.3141101338686714,
          -1.3521156554832912,
          -1.3907503613915568,
          -1.4299810547098368,
          -1.469781135043981,
          -1.5101308732385266,
          -1.551016897988931,
          -1.5924312472611115,
          -1.6343702662149893,
          -1.676833532347038,
          -1.719822900611383,
          -1.7633417008709011,
          -1.8073940852880084,
          -1.8519845069349063,
          -1.897117305517488,
          -1.9427963766294036,
          -1.9890249037960854,
          -2.0358051362805947,
          -2.0831381990326596,
          -2.13102392420087,
          -2.1794606959849077,
          -2.2284453024986135,
          -2.277972789700618,
          -2.328036313530447,
          -2.3786269871110033,
          -2.429733720452685,
          -2.481343050456781,
          -2.533438959251229,
          -2.5860026790747814,
          -2.6390124819810685,
          -2.6924434526353083,
          -2.7462672424689814,
          -2.8004518033581003,
          -2.854961098898536,
          -2.9097547911680652,
          -2.964787900713739,
          -3.0200104372871297,
          -3.075366998509517,
          -3.130796333513913,
          -3.1862308680819345,
          -3.241596187524107,
          -3.296810473037299,
          -3.3517838867852987,
          -3.4064179002381865,
          -3.460604559751486,
          -3.5142256823720373,
          -3.5671519739938877,
          -3.6192420608126334,
          -3.6703414236405774,
          -3.720281223085483,
          -3.7688770016601567,
          -3.8159272465575653,
          -3.861211794060764,
          -3.9044900531420916,
          -3.945499021617248,
          -3.9839510631050925,
          -4.019531406525558,
          -4.051895321872226,
          -4.080664915654714,
          -4.105425476273333,
          -4.125721282513551,
          -4.141050765973327,
          -4.150860888490688,
          -4.154540555637689,
          -4.151822944168285,
          -4.143390499376651,
          -4.129883922778856,
          -4.111842073888598,
          -4.089722824812179,
          -4.063918786712558,
          -4.034769359944643,
          -4.002570099634327,
          -3.9675800883672707,
          -3.9300278073687664,
          -3.8901158611411386,
          -3.848024815886462,
          -3.803916345279075,
          -3.757935829332231,
          -3.7102145173718206,
          -3.660871340577895,
          -3.6100144405356867,
          -3.5577424659209402,
          -3.5041456785619256,
          -3.449306901769543,
          -3.3933023373597537,
          -3.3362022727425034,
          -3.2780716954829967,
          -3.218970829592149,
          -3.1589556052932166,
          -3.0980780719949954,
          -3.036386762573982,
          -2.9739270157450894,
          -2.9107412622165434,
          -2.8468692794417305,
          -2.7823484190447005,
          -2.717213810387771,
          -2.6514985432497835,
          -2.5852338321525226,
          -2.5184491645251463,
          -2.4511724345928294,
          -2.383430064623326,
          -2.315247114950937,
          -2.246647384014704,
          -2.177653499490194,
          -2.108287001458692,
          -2.0385684184458097,
          -1.9685173370596905,
          -1.8981524658714648,
          -1.8274916941104533,
          -1.7565521456770479,
          -1.685350228923497,
          -1.6139016825990495,
          -1.542221618319434,
          -1.4703245598734347,
          -1.3982244796563372,
          -1.3259348324823146,
          -1.253468587004839,
          -1.180838254953716,
          -1.1080559183721592,
          -1.0351332550233514,
          -0.9620815621179549,
          -0.8889117784989428,
          -0.8156345054099425,
          -0.7422600259600116,
          -0.6687983233857971,
          -0.5952590982084611,
          -0.521651784367702,
          -0.4479855644120409,
          -0.37426938381882763,
          -0.30051196450525147,
          -0.22672181759450177,
          -0.15290725548984996,
          -0.07907640330793772,
          -0.00523720971737394,
          0.06860254277257546,
          0.14243522803613778,
          0.21625336702969025,
          0.29004961893154396,
          0.3638167726902235,
          0.4375477389551332,
          0.5112355423585853,
          0.5848733141273753,
          0.6584542849980001,
          0.7319717784156957,
          0.8054192039948864,
          0.8787900512231377,
          0.9520778833902792,
          1.02527633172665,
          1.0983790897321437,
          1.1713799076847253,
          1.244272587311059,
          1.3170509766085798,
          1.3897089648032748,
          1.4622404774346158,
          1.5346394715542206,
          1.6068999310267107,
          1.6790158619244002,
          1.7509812880035207,
          1.8227902462538934,
          1.8944367825132609,
          1.9659149471337667,
          2.0372187906972257,
          2.1083423597648494,
          2.179279692658359,
          2.250024815259936,
          2.320571736825979,
          2.390914445805416,
          2.461046905653668,
          2.530963050637262,
          2.600656781618511,
          2.670121961812988,
          2.739352412513191,
          2.808341908768284,
          2.877084175014528,
          2.9455728806447237,
          3.0138016355113266,
          3.08176398535313,
          3.1494534071361686,
          3.21686330430191,
          3.2839870019105795,
          3.350817741672393,
          3.41734867685418,
          3.483572867053103,
          3.5494832728250953,
          3.6150727501572018,
          3.680334044771336,
          3.7452597862476997,
          3.809842481953597,
          3.8740745107633265,
          3.937948116556882,
          4.001455401478697,
          4.064588318941785,
          4.127338666359959,
          4.189698077587718,
          4.251658015049901,
          4.313209761539443,
          4.374344411660032,
          4.435052862890327,
          4.495325806244802,
          4.555153716501783,
          4.614526841971465,
          4.6734351937702465,
          4.7318685345692675,
          4.789816366779505,
          4.847267920135042,
          4.90421213863142,
          4.960637666773551,
          5.016532835085531,
          5.071885644825925,
          5.126683751853971,
          5.180914449582741,
          5.234564650951781,
          5.287620869345774,
          5.340069198378446,
          5.39189529045687,
          5.443084334027484,
          5.493621029405047,
          5.543489563066797,
          5.5926735802915815,
          5.641156156005979,
          5.688919763690607,
          5.735946242182264,
          5.782216760192864,
          5.82771177834613,
          5.872411008517062,
          5.916293370229433,
          5.959336943846899,
          6.001518920263145,
          6.042815546760296,
          6.083202068674594,
          6.122652666460471,
          6.161140387702286,
          6.198637073564957,
          6.235113279119114,
          6.270538186902703,
          6.304879513002652,
          6.338103404852148,
          6.370174329830936,
          6.401054953636946,
          6.430706007260298,
          6.459086141228336,
          6.48615176560164,
          6.511856873985896,
          6.536152849569171,
          6.55898825089338,
          6.580308574718143,
          6.600055992920913,
          6.618169059883618,
          6.634582386228809,
          6.649226274072284,
          6.6620263081122735,
          6.672902895869388,
          6.681770749157697,
          6.688538297378467,
          6.693107021397372,
          6.695370694519646,
          6.695214514291823,
          6.692514105396016,
          6.68713436955668,
          6.67892815289947,
          6.667734694231553,
          6.6533778087790445,
          6.635663750376475,
          6.614378680050416,
          6.589285649125373,
          6.5601209786155605,
          6.526589881204048,
          6.488361123819757,
          6.445060462193895,
          6.396262485522678,
          6.341480376773554,
          6.280152902381585,
          6.211627662321122,
          6.135139205743241,
          6.049779960868265,
          5.954460888332923,
          5.847857070952724,
          5.743966182323339,
          5.628107424568336,
          5.521392737919828,
          5.403344078842647,
          5.2952096486103795,
          5.176518309888013,
          5.068234837133148,
          4.950091161613638,
          4.842630797991032,
          4.725938667630586,
          4.620040744134598,
          4.505480654722835,
          4.401701860038166,
          4.289779521995114,
          4.188533303480039,
          4.079617869430049,
          3.9812060524692408,
          3.875560907227929,
          3.7801997992785745,
          3.6780081455192795,
          3.5858509303728816,
          3.487237965867473,
          3.398394868095035,
          3.3034480374965645,
          3.218005369472117,
          3.1267937928413976,
          3.0448322788895887,
          2.957425670383885,
          2.8790368967279467,
          2.7955225675525925,
          2.720819672058781,
          2.641313187355461,
          2.570428871563974,
          2.495070642908971,
          2.4281360330902113,
          2.357066782226991,
          2.2941735083224097,
          2.2274914538039816,
          2.1686535596210077,
          2.106371810647319,
          2.051508564613241,
          1.9935358616561647,
          1.9424827616487899,
          1.8886354590566754,
          1.8411731200889305,
          1.7912070182259587,
          1.7470928119742255,
          1.7007381141304343,
          1.6597316082477742,
          1.6167209937863463,
          1.5786015082657232,
          1.538689328510452,
          1.5032677630591755,
          1.4662426422100794,
          1.4333067388820444,
          1.3989489857484343,
          1.3683284215754807,
          1.3364538108340012,
          1.3081042715448776,
          1.2786567295502098,
          1.2526157020757096,
          1.2256278638640923,
          1.2020761345774469,
          1.1777305708869874,
          1.1571677358245365,
          1.1383882032304837,
          1.1220917542831454,
          1.1054082544855277,
          1.0883646719120272,
          1.0699824585229396,
          1.0498302311422942,
          1.0282753709667203,
          1.0055621746018866,
          0.9818550119249913,
          0.9572673951634127,
          0.9318448487717242,
          0.9055210596346052,
          0.878221643154073,
          0.8498628701330204,
          0.8203501659351906,
          0.7895763461106624,
          0.7574195549182994,
          0.7237408843170641,
          0.6883816799093933,
          0.6550256554379904,
          0.6200173988259088,
          0.583189449506533,
          0.5483500539809689,
          0.5116649312288354,
          0.47934076956769756,
          0.4453773852559663,
          0.41532198446996316,
          0.38393522102076844,
          0.3556298535302703,
          0.3262517992224366,
          0.29932767788405307,
          0.2715435364452493,
          0.24295520931957107,
          0.2175961819409904,
          0.19163290627237123,
          0.16513171394279497,
          0.13813575481496917,
          0.11378289567064737,
          0.08913069608241114,
          0.06423427405165226,
          0.03915579911612191,
          0.013963408461148422,
          -0.01245600154775334,
          -0.03302152062167285,
          -0.05376343671695722,
          -0.07439546604883408,
          -0.094876891060323,
          -0.1155572058589005,
          -0.13656733409408595,
          -0.15790849485352682,
          -0.17964959300041072,
          -0.2019281721177314,
          -0.22497420772266818,
          -0.24916484731354233,
          -0.2749762521493906,
          -0.30120133176358665,
          -0.32271862217073854,
          -0.3435960683146858,
          -0.36148360804916874,
          -0.3788887958747066,
          -0.39292969589769816,
          -0.4066544602054168,
          -0.4200703661866933,
          -0.43442360406248326,
          -0.4502201030966204,
          -0.46723407636697484,
          -0.48540652173357873,
          -0.5047643799597052,
          -0.5253750154919314,
          -0.5472420703730841,
          -0.5700756917740081,
          -0.5932120458813527,
          -0.6161209433186207,
          -0.6386923102903723,
          -0.6610347862979675,
          -0.6832864746309741,
          -0.705546315062523,
          -0.7278955499923119,
          -0.7504014588436758,
          -0.7731208686269476,
          -0.79610258490591,
          -0.8193889077769464,
          -0.8430164092349444,
          -0.8670160983577171,
          -0.8914130509089403,
          -0.9162255616599126,
          -0.941463903238273,
          -0.9671288535334079,
          -0.9932102820491052,
          -1.0196862296069693,
          -1.0465229912598866,
          -1.0736766031638885,
          -1.1010957762171245,
          -1.1287258105991145,
          -1.1565126319387222,
          -1.1844060612533196,
          -1.212361777968705,
          -1.2403419228031056,
          -1.2683146493400956,
          -1.2962530609563412,
          -1.3241339156802177,
          -1.3519363525813388,
          -1.379640769192336,
          -1.4072278924101336,
          -1.4346780364559215,
          -1.461970519971008,
          -1.4890832087258694,
          -1.5159921525773454,
          -1.5426712903496935,
          -1.5690922018368467,
          -1.5952238909974743,
          -1.6210325884096584,
          -1.6464815641091057,
          -1.6715309442149207,
          -1.6961375264148593,
          -1.720254590578995,
          -1.743831701606241,
          -1.7668145022129864,
          -1.789144493742121,
          -1.810758803363953,
          -1.8315899361727153,
          -1.8515655107944162,
          -1.8706079771364659,
          -1.8886343148996372,
          -1.905555711433586,
          -1.9212772174364412,
          -1.9356973789036223,
          -1.9487078436080927,
          -1.9601929402470486,
          -1.9700292282306078,
          -1.9780850158912577,
          -1.9842198446770194,
          -1.9882839366486527,
          -1.9901176023193277,
          -1.9895506055584935,
          -1.9864014819204705,
          -1.9804768063432678,
          -1.971570405689568,
          -1.959462511052207,
          -1.9439188441115725,
          -1.924689631094884,
          -1.9015085370204705,
          -1.8740915118898207,
          -1.8421355392807612,
          -1.8053172763834116,
          -1.763291572744549,
          -1.7156898529677562,
          -1.6621183460554956,
          -1.6021561410001126,
          -1.535353044377877,
          -1.4612272110261388,
          -1.3792625128186777,
          -1.2889056030656632,
          -1.1895626244090773,
          -1.080595495448882,
          -0.9613176951379164,
          -0.8309894422078862,
          -0.6888121379095237,
          -0.533921900801591,
          -0.374034771907017,
          -0.21361957019424607,
          -0.05293489093121189,
          0.10781193845438036,
          0.26845308566192655,
          0.4288515541241703,
          0.588894708349242,
          0.7484893617044224,
          0.9075580006573811,
          1.0660358482770103,
          1.2238685560682614,
          1.381010372113204,
          1.5374226743864527,
          1.693072786959205,
          1.8479330174434947,
          2.001979868984074,
          2.155193391082093,
          2.3075566416710513,
          2.459055238970728,
          2.6096769862581484,
          2.759411556222404,
          2.908250224283948,
          3.0561856423643645,
          3.20321164624061,
          3.3493230909115357,
          3.494515709434064,
          3.6387859915017953,
          3.7821310786976694,
          3.92454867387908,
          4.066036962584891,
          4.206594544699632,
          4.346220374899136,
          4.48491371063442,
          4.622674066604822,
          4.759501174832723,
          4.895394949583924,
          5.030355456491445,
          5.164382885332233,
          5.297477525984818,
          5.429639747163819,
          5.560869977580685,
          5.691168689230655,
          5.820536382542714,
          5.948973573167576,
          6.076480780205086,
          6.203058515698853,
          6.3287072752504905,
          6.453427529617932,
          6.5772197171858915,
          6.700084237205578,
          6.822021443715081,
          6.943031640060617,
          7.063115073951389,
          7.182271932984297,
          7.3005023405854015,
          7.417806352320194,
          7.534183952527653,
          7.649635051241956,
          7.764159481366445,
          7.877756996070096,
          7.990427266379189,
          8.10216987893784,
          8.21298433391826,
          8.322870043058863,
          8.431826327813152,
          8.539852417593213,
          8.646947448092822,
          8.753110459677814,
          8.85834039583047,
          8.962636101637031,
          9.065996322309982,
          9.16841970173393,
          9.269904781027005,
          9.370449997110258,
          9.470053681278376,
          9.568714057763982,
          9.666429242288647,
          9.76319724059664,
          9.859015946964066,
          9.953883142679526,
          10.047796494488612,
          10.140753553001087,
          10.232751751053863,
          10.323788402023776,
          10.413860698089854,
          10.502965708437193,
          10.591100377399728,
          10.678261522536975,
          10.764445832641567,
          10.84964986567249,
          10.933870046609274,
          11.017102665225746,
          11.099343873774204,
          11.180589684580513,
          11.260835967542313,
          11.340078447527137,
          11.418312701665863,
          11.495534156534843,
          11.57173808522412,
          11.646919604284285,
          11.721073670547913,
          11.794195077819902,
          11.866278453428642,
          11.937318254635269,
          12.007308764891162,
          12.076244089938475,
          12.144118153747083,
          12.210924694278672,
          12.276657259072254,
          12.341309200639651,
          12.40487367166551,
          12.4673436200007,
          12.528711783439388,
          12.588970684269519,
          12.648112623586366,
          12.706129675356951,
          12.763013680222812,
          12.818756239028659,
          12.87334870606405,
          12.926782181999917,
          12.97904750650939,
          13.030135250552542,
          13.080035708308449,
          13.128738888738052,
          13.176234506753747,
          13.2225119739788,
          13.267560389071486,
          13.311368527590771,
          13.3539248313776,
          13.395217397423625,
          13.435233966200505,
          13.473961909414921,
          13.51138821715899,
          13.547499484418033,
          13.58228189689838,
          13.615721216132576,
          13.647802763818925,
          13.678511405347448,
          13.707831532460249,
          13.735747044992065,
          13.762241331631724,
          13.787297249638769,
          13.810897103448706,
          13.833022622090363,
          13.85365493533663,
          13.87277454849886,
          13.890361315772667,
          13.906394412032592,
          13.920852302963233,
          13.933712713408303,
          13.944952593804507,
          13.954548084558896,
          13.962474478213611,
          13.968706179228098,
          13.973216661194128,
          13.975978421280912,
          13.976962931686572,
          13.976140587855772,
          13.973480653192773,
          13.968951199979285,
          13.962519046170996,
          13.954149687717468,
          13.9438072260117,
          13.931454290033082,
          13.917051952702085,
          13.900559640909233,
          13.881935038626601,
          13.861133982435954,
          13.838110348737207,
          13.812815931808252,
          13.785200311795315,
          13.755210711591994,
          13.722791841443213,
          13.687885729958902,
          13.650431540051363,
          13.610365368118318,
          13.567620024562748,
          13.522124793481058,
          13.47380516904606,
          13.422582565754407,
          13.368373999293578,
          13.311091734293935,
          13.25064289466009,
          13.186929031491221,
          13.119845642797953,
          13.0492816382623,
          12.975118741135374,
          12.897230817989643,
          12.815483125374861,
          12.729731460401924,
          12.639821199813927,
          12.54558620908178,
          12.44684759932628,
          12.343412305249998,
          12.23507145147957,
          12.121598467460013,
          12.002746901846946,
          11.878247875610228,
          11.747807097963538,
          11.611101349640528,
          11.467774312361056,
          11.317431589343236,
          11.159634716224543,
          10.993893900154031,
          10.819659140298477,
          10.636309265422051,
          10.443138258080989,
          10.239337996292456,
          10.023976194156694,
          9.795967800826261,
          9.554037318851897,
          9.296668250064714,
          9.02203385248374,
          8.76036006017679,
          8.479753595416625,
          8.230458834008974,
          7.963268980175655,
          7.725864688491592,
          7.472201092463856,
          7.246806746440897,
          7.006569333318927,
          6.793087174300191,
          6.566000810435885,
          6.364185689480509,
          6.149859033806285,
          5.959369021846123,
          5.757338782848543,
          5.577774151559633,
          5.3875395840789455,
          5.218474061334425,
          5.0395251181149545,
          4.880532189687411,
          4.712373765901858,
          4.563049693949174,
          4.405223360285637,
          4.265207022898531,
          4.117310024409822,
          3.9862971388555444,
          3.8479957196422263,
          3.7257415945142607,
          3.596772052932405,
          3.483074898265202,
          3.36322361662676,
          3.2578846487254487,
          3.1469431276681634,
          3.0497133895438533,
          2.947419281509527,
          2.8579575573214124,
          2.763948197911393,
          2.681812074667052,
          2.59561425655088,
          2.5202854859258603,
          2.4413426315919686,
          2.3722694089566736,
          2.299987350443277,
          2.2366247831134665,
          2.170415800307302,
          2.1122553374843998,
          2.051570253141876,
          1.9981576432278942,
          1.9425053064393998,
          1.893450710719171,
          1.8424086778371123,
          1.797322194798569,
          1.750487277079656,
          1.7090238923598908,
          1.6660321466406618,
          1.6280336071311345,
          1.5887073253560666,
          1.5541171334889174,
          1.518389053817067,
          1.487312526809587,
          1.4552840835060035,
          1.4281514759171663,
          1.4032006887806263,
          1.3810330992145452,
          1.3631035410424448,
          1.3448232500598158,
          1.324019200938881,
          1.3005167767096963,
          1.275067877311869,
          1.2481317938859822,
          1.220013094694439,
          1.1909281056844863,
          1.1610160160494265,
          1.1302157181593162,
          1.0984588734321876,
          1.0656687443242019,
          1.031758791208101,
          0.9966309795970886,
          0.9642458769405191,
          0.9307182030676291,
          0.8959469342013427,
          0.8598173266430514,
          0.8221985548953759,
          0.7874476294603058,
          0.7512873375717996,
          0.713582920972715,
          0.6741817511422399,
          0.6329111450039935,
          0.5895764645539402,
          0.5502647822172996,
          0.5090299880126972,
          0.4726343715049561,
          0.4344830815226247,
          0.40149004999715154,
          0.36710156237288594,
          0.3367167804005678,
          0.3052636255700372,
          0.27691240368436937,
          0.24774494008622672,
          0.22100465819001944,
          0.19365044625289576,
          0.16575055527541793,
          0.14084591773174776,
          0.11556721230229734,
          0.08998217906569965,
          0.06414573500624438,
          0.038121596158649275,
          0.011981534677004406,
          -0.014195913951092511,
          -0.04032727796081765,
          -0.06387730736180203,
          -0.0816232787249438,
          -0.09924261305161802,
          -0.1171406458621586,
          -0.1355820487630849,
          -0.15432427637043178,
          -0.17328638717461903,
          -0.19247735187635706,
          -0.2119629865096853,
          -0.23186500505116972,
          -0.2523876071068588,
          -0.27389552969969094,
          -0.29706791262569404,
          -0.31845188035585437,
          -0.3368451205768762,
          -0.3546703832076675,
          -0.36830477226689,
          -0.37947465781751977,
          -0.3904068980863402,
          -0.40287591865673456,
          -0.41658203976481545,
          -0.43119240785932145,
          -0.4465570884607086,
          -0.4626190374213731,
          -0.4793774201540863,
          -0.4968654092354673,
          -0.5151238243139586,
          -0.534147740110213,
          -0.553790725931912,
          -0.5737128140883268,
          -0.5935471768689718,
          -0.6131298439409891,
          -0.6324678838765025,
          -0.651617332435997,
          -0.6706425620155221,
          -0.6896011292891129,
          -0.7085409900544886,
          -0.727500891270092,
          -0.7465112000603418,
          -0.7655944967568661,
          -0.7847657200161616,
          -0.8040318416768673,
          -0.8233911272124188,
          -0.8428321162789038,
          -0.862332575254496,
          -0.881858820552343,
          -0.9013659190259102,
          -0.9207992128777269,
          -0.9400972819463821,
          -0.9591959027508985,
          -0.9780320837992704,
          -0.9965471902403932,
          -1.0146885778726864,
          -1.032409745467524,
          -1.0496694302400549,
          -1.0664301792866728,
          -1.0826568194295751,
          -1.0983150702463256,
          -1.113370397093627,
          -1.1277871108301996,
          -1.1415276792582514,
          -1.1545522033445261,
          -1.1668180137929636,
          -1.1782793513396028,
          -1.1888871026741659,
          -1.1985885712931799,
          -1.2073272684110181,
          -1.2150427133548563,
          -1.22167023597761,
          -1.22714077577603,
          -1.231380673914049,
          -1.2343114553589625,
          -1.235849599024879,
          -1.2359062942715067,
          -1.2343871823853323,
          -1.2311920818516435,
          -1.2262146963158989,
          -1.219342304175948,
          -1.2104554287410902,
          -1.1994274878676736,
          -1.1861244219299831,
          -1.1704042989070687,
          -1.152116895292728,
          -1.1311032514208514,
          -1.1071951997168232,
          -1.0802148642145197,
          -1.0499741295938647,
          -1.0162740777963055,
          -0.9789043901440402,
          -0.937642712661662,
          -0.8922539821314475,
          -0.8424897101372176,
          -0.7880872221324818,
          -0.728768848227249,
          -0.6642410620949003,
          -0.5941935639690336,
          -0.5182983032997824,
          -0.4362084361284687,
          -0.3475572115900829,
          -0.2519567813682486,
          -0.148996925022044,
          -0.03824368321226331,
          0.08076211034120642,
          0.20850640864149894,
          0.34550365510880776,
          0.49229862534768914,
          0.6494684236243479,
          0.8176246537349312,
          0.9974157877724523,
          1.1895297610943087,
          1.3946968279739866,
          1.6136927201319093,
          1.8473421607348537,
          2.0965227997009777,
          2.362169654067216,
          2.645280161057557,
          2.946919984203632,
          3.2648608461539954,
          3.5779722978601245,
          3.886398018939265,
          4.19027948477033,
          4.489753761225146,
          4.784952312236599,
          5.076000428086972,
          5.36301703449232,
          5.6461147333986705,
          5.9253999817848975,
          6.2009733491314805,
          6.472929815873022,
          6.741359088954968,
          7.00634591951338,
          7.267970413453979,
          7.526308329468422,
          7.781431361458999,
          8.033407403935712,
          8.282300799957929,
          8.528172571844427,
          8.771080635261129,
          9.011079997526316,
          9.24822294108967,
          9.482559193189518,
          9.714136082691917,
          9.94299868508639,
          10.169189956568765,
          10.392750858088245,
          10.613720470169604,
          10.832136099268984,
          11.048033376357422,
          11.261446348368626,
          11.472407563098487,
          11.680948148086358,
          11.887097883968362,
          12.090885272747805,
          12.29233760138548,
          12.491481001082166,
          12.688340502588002,
          12.882940087848965,
          13.07530273826829,
          13.265450479840068,
          13.453404425390172,
          13.639184814133797,
          13.82281104875174,
          14.004301730156406,
          14.183674690119846,
          14.360947021907082,
          14.536135109055177,
          14.709254652426175,
          14.880320695647447,
          15.04934764904611,
          15.216349312180528,
          15.381338895051078,
          15.544329038084472,
          15.705331830957597,
          15.86435883033937,
          16.021421076613326,
          16.17652910964412,
          16.32969298363761,
          16.48092228115512,
          16.630226126324278,
          16.7776131972897,
          16.923091737950884,
          17.06666956901959,
          17.208354098434423,
          17.348152331166517,
          17.486070878442874,
          17.622115966422765,
          17.756293444342997,
          17.888608792168352,
          18.019067127759335,
          18.147673213583868,
          18.27443146299026,
          18.399345946061164,
          18.522420395063723,
          18.643658209510185,
          18.76306246084424,
          18.880635896768528,
          18.996380945220697,
          19.11029971801212,
          19.222394014139816,
          19.332665322777896,
          19.4411148259594,
          19.54774340095477,
          19.65255162235525,
          19.755539763866224,
          19.856707799814558,
          19.956055406378283,
          20.053581962538857,
          20.149286550761705,
          20.24316795740689,
          20.335224672873128,
          20.42545489147407,
          20.51385651105262,
          20.600427132329017,
          20.685164057984416,
          20.76806429148057,
          20.849124535611324,
          20.928341190788025,
          21.00571035305308,
          21.081227811818714,
          21.15488904733154,
          21.226689227851825,
          21.296623206551004,
          21.36468551811361,
          21.43087037504354,
          21.49517166366646,
          21.55758293981819,
          21.618097424215968,
          21.676707997497132,
          21.733407194923004,
          21.78818720073199,
          21.841039842131142,
          21.891956582917224,
          21.94092851671023,
          21.98794635978684,
          22.033000443499574,
          22.076080706263667,
          22.117176685093046,
          22.156277506670182,
          22.193371877926193,
          22.22844807611108,
          22.261493938330663,
          22.292496850525563,
          22.321443735865564,
          22.34832104252895,
          22.373114730841937,
          22.395810259738347,
          22.416392572511416,
          22.43484608181461,
          22.45115465387386,
          22.46530159187109,
          22.477269618446762,
          22.487040857278096,
          22.49459681367528,
          22.499918354140508,
          22.502985684830904,
          22.503778328854054,
          22.502275102329826,
          22.498454089140584,
          22.492292614285535,
          22.483767215754717,
          22.47285361482256,
          22.459526684658865,
          22.443760417146045,
          22.425527887780987,
          22.404801218528938,
          22.381551538490637,
          22.355748942222586,
          22.32736244554795,
          22.296359938674104,
          22.262708136415824,
          22.22637252531253,
          22.187317307395855,
          22.14550534035992,
          22.10089807384054,
          22.053455481505445,
          22.003135988608054,
          21.94989639463739,
          21.893691790655573,
          21.834475470869037,
          21.772198837940508,
          21.70681130149435,
          21.638260169203534,
          21.566490529794695,
          21.491445127218114,
          21.413064225162096,
          21.331285460984628,
          21.246043688035567,
          21.157270805220495,
          21.064895572516974,
          20.968843411003697,
          20.86903618577298,
          20.76539196989944,
          20.657824787401083,
          20.546244332844534,
          20.43055566494824,
          20.310658871154843,
          20.186448699729247,
          20.057814155436528,
          19.924638054275636,
          19.786796532060833,
          19.644158500840557,
          19.49658504618959,
          19.343928757282228,
          19.18603298030645,
          19.02273098416618,
          18.853845025477245,
          18.679185297516966,
          18.49854874493916,
          18.311717722583925,
          18.118458472442622,
          17.91851938756067,
          17.711629025099953,
          17.497493822584854,
          17.275795461014,
          17.04618780541312,
          16.808293336612884,
          16.56169896640176,
          16.305951100007718,
          16.040549772817485,
          15.764941639006242,
          15.478511523598645,
          15.18057215947675,
          14.870351606761934,
          14.546977678374224,
          14.209458448743998,
          13.856657565477995,
          13.487262556752649,
          13.099743532459168,
          12.692298449084605,
          12.262779157909337,
          11.808589259998488,
          11.39801507094992,
          10.961495387953255,
          10.577688378788096,
          10.170192211138984,
          9.811629543633535,
          9.431781603035517,
          9.097358228156457,
          8.743717775201851,
          8.432236135163036,
          8.103337078716496,
          7.81357415845408,
          7.507976336537624,
          7.238732901394084,
          6.955061257793681,
          6.705199825959832,
          6.4421752919991295,
          6.210648848186227,
          5.967111833555698,
          5.752981576712046,
          5.527905334730297,
          5.3303415981633275,
          5.122828535779253,
          4.9410867768581355,
          4.7503386796140425,
          4.583707284813882,
          4.4089659947364686,
          4.256697853894609,
          4.097169457375417,
          3.958426107247765,
          3.813219543564708,
          3.687055930864539,
          3.5551657524545757,
          3.4405602155380617,
          3.3208981165041025,
          3.2168075740497217,
          3.108261224566265,
          3.013676334895346,
          2.9151684986581983,
          2.829154224158649,
          2.7396863876395074,
          2.661405647982877,
          2.5800834413132416,
          2.5088081240493354,
          2.434852933961004,
          2.36996821690887,
          2.3027212467365166,
          2.2435074402774364,
          2.1822481659875144,
          2.1283202641768737,
          2.0726215439526388,
          2.023728090619155,
          1.9733162737478487,
          1.929371160620399,
          1.8841459240810605,
          1.8453345057749546,
          1.8054764261743947,
          1.772609325809308,
          1.7432584763483894,
          1.719064748203058,
          1.6944303748563565,
          1.667862844280112,
          1.6378485647748764,
          1.6054048291631138,
          1.5711689371215536,
          1.5355676051914005,
          1.4989082118549897,
          1.461327992978985,
          1.4227613408059188,
          1.3831349199937069,
          1.3423663894927507,
          1.300362851242149,
          1.2617743316905814,
          1.2220353143169869,
          1.181050288046441,
          1.1387108270976674,
          1.0999211751602262,
          1.059870408200636,
          1.0184469573093382,
          0.9755235530904619,
          0.9365084497897018,
          0.8961139038177954,
          0.854212082038062,
          0.810657212578804,
          0.7706591990204238,
          0.7291097317922066,
          0.6858613290288663,
          0.6407478246008587,
          0.5935828003578516,
          0.5502937353996555,
          0.5051043361368182,
          0.46452742918922696,
          0.4221105671294122,
          0.3861941378914686,
          0.3488062601366154,
          0.31645742862259313,
          0.2830392819400048,
          0.2534145331445249,
          0.22301445484581403,
          0.19553903042453175,
          0.16751019400404488,
          0.13901260865099432,
          0.11405710262101493,
          0.08879385569899353,
          0.06330229493300372,
          0.037638713884218154,
          0.014746904310600202,
          -0.008182299372529183,
          -0.031091304185546627,
          -0.05392232636475206,
          -0.07732075504465731,
          -0.09853153644363102,
          -0.11378611986172213,
          -0.1289019540392248,
          -0.14446960034068837,
          -0.16074127745999647,
          -0.17736162620780876,
          -0.19418761878860588,
          -0.21118466670880706,
          -0.22837579719991538,
          -0.24582735734176459,
          -0.2636567910617235,
          -0.2820735873738845,
          -0.30151735497078097,
          -0.3230349881648518,
          -0.3390904837826104,
          -0.352082942380403,
          -0.3633164581661549,
          -0.3742671407241323,
          -0.38636444867941355,
          -0.39925969430193275,
          -0.41268216650214035,
          -0.42650968861541444,
          -0.4406936353804076,
          -0.4552263911512479,
          -0.4701245913169166,
          -0.4854172621100326,
          -0.5011313312109863,
          -0.5172660658997638,
          -0.5337513655595838,
          -0.5504140022482058,
          -0.567025179515715,
          -0.5834194078222273,
          -0.5995284046052857,
          -0.615350279128512,
          -0.6309095655150947,
          -0.6462351690676958,
          -0.6613515256815737,
          -0.676275651582875,
          -0.6910160909615088,
          -0.7055724614013484,
          -0.7199350066184319,
          -0.7340840142917844,
          -0.7479891990560211,
          -0.761609339171266,
          -0.7748926043728828,
          -0.7877780334725166,
          -0.8001983773861542,
          -0.8120839877880577,
          -0.8233668509704481,
          -0.8339836729571305,
          -0.843877318469748,
          -0.852996608059852,
          -0.861295001838133,
          -0.8687288210089851,
          -0.8752554926323494,
          -0.8808320636830475,
          -0.8854140488291213,
          -0.8889545798364322,
          -0.8914037905000763,
          -0.8927083699877897,
          -0.8928112291926774,
          -0.8916512386984896,
          -0.8891630091038571,
          -0.885276693713566,
          -0.8799178002038213,
          -0.8730070023852372,
          -0.8644599462065896,
          -0.8541870461106721,
          -0.8420932691320383,
          -0.8280779049366377,
          -0.8120343204886191,
          -0.7938496983480476,
          -0.7734047577564156,
          -0.7505734577489297,
          -0.7252226815672482,
          -0.6972119016228434,
          -0.6663928242449016,
          -0.6326090133579136,
          -0.5956954922196237,
          -0.5554783222426768,
          -0.5117741578479424,
          -0.4643897762304455,
          -0.41312158082208755,
          -0.3577550771221168,
          -0.2980643194920398,
          -0.23381132739640284,
          -0.1647454694093671,
          -0.09060281329196045,
          -0.011105440156763053,
          0.07403927926337475,
          0.1651394484920752,
          0.2625194517161608,
          0.3665208052935771,
          0.47750305716307456,
          0.5958447372653045,
          0.7219443622049824,
          0.8562214978940088,
          0.9991178841412625,
          1.1510986255746285,
          1.3126534538767882,
          1.4842980667154004,
          1.666575549554742,
          1.8600578872485953,
          2.065347573226139,
          2.283079325361539,
          2.513921918820158,
          2.758580147978233,
          3.017796931735292,
          3.2923555788682997,
          3.583082233772214,
          3.890848526999378,
          4.21657446051542,
          4.561231564802351,
          4.925846374358922,
          5.311504280652092,
          5.719353838434004,
          6.150611624449016,
          6.606567779332835,
          7.075326877713577,
          7.534007902389645,
          7.983163301020407,
          8.423286087444898,
          8.854818547976429,
          9.278159384449784,
          9.693669614896562,
          10.101677481420744,
          10.502482559687474,
          10.896359222070247,
          11.283559574034514,
          11.664315958363458,
          12.038843102574257,
          12.407339969915787,
          12.769991362670211,
          13.126969317306939,
          13.478434323794135,
          13.824536395605103,
          14.165416012338904,
          14.501204953166546,
          14.832027036297582,
          15.157998777221936,
          15.479229976466813,
          15.795824245970236,
          16.10787948179814,
          16.415488289810305,
          16.718738369924253,
          17.017712863847382,
          17.312490670467135,
          17.603146732539447,
          17.889752297829688,
          18.17237515745918,
          18.451079863861672,
          18.72592793045602,
          18.996978014891145,
          19.26428608749015,
          19.527905586342882,
          19.787887560316904,
          20.044280801125577,
          20.29713196545721,
          20.546485688068735,
          20.79238468664349,
          21.034869859133426,
          21.273980374229783,
          21.509753755542445,
          21.742225960008465,
          21.97143145100216,
          22.197403266565825,
          22.420173083153195,
          22.63977127522791,
          22.856226971034694,
          23.069568104830157,
          23.27982146583495,
          23.487012744144685,
          23.691166573817174,
          23.89230657333463,
          24.090455383619613,
          24.28563470377657,
          24.477865324704638,
          24.66716716072649,
          24.853559279360027,
          25.03705992934929,
          25.217686567064618,
          25.395455881373525,
          25.570383817072848,
          25.74248559696651,
          25.911775742667956,
          26.078268094202464,
          26.241975828473127,
          26.402911476652505,
          26.56108694055928,
          26.71651350807335,
          26.869201867635425,
          27.0191621218788,
          27.166403800434875,
          27.31093587195407,
          27.452766755372227,
          27.591904330461983,
          27.72835594769702,
          27.862128437456764,
          27.993228118602804,
          28.121660806445032,
          28.24743182012526,
          28.370545989435154,
          28.491007661090816,
          28.608820704477612,
          28.72398851688595,
          28.836514028248185,
          28.9463997053912,
          29.053647555818134,
          29.158259131027865,
          29.260235529380907,
          29.359577398524614,
          29.456284937379664,
          29.550357897695413,
          29.641795585182706,
          29.730596860221688,
          29.816760138156102,
          29.900283389168223,
          29.98116413774012,
          30.05939946170141,
          30.134985990863267,
          30.207919905233492,
          30.278196932812456,
          30.3458123469716,
          30.41076096339876,
          30.473037136616693,
          30.53263475606081,
          30.58954724171006,
          30.643767539268243,
          30.69528811487767,
          30.74410094936032,
          30.79019753197389,
          30.83356885366937,
          30.874205399835542,
          30.91209714251596,
          30.94723353208146,
          30.979603488339514,
          31.009195391062924,
          31.035997069912654,
          31.05999579373618,
          31.081178259214145,
          31.099530578827974,
          31.11503826812579,
          31.127686232245665,
          31.137458751674824,
          31.144339467199973,
          31.148311364018443,
          31.149356754961087,
          31.147457262792358,
          31.142593801535558,
          31.13474655677129,
          31.123894964859456,
          31.11001769102675,
          31.093092606251414,
          31.0730967628863,
          31.050006368942753,
          31.02379676095985,
          30.994442375376742,
          30.96191671831577,
          30.92619233368243,
          30.887240769476843,
          30.84503254220445,
          30.79953709926355,
          30.75072277918216,
          30.698556769557197,
          30.64300506254791,
          30.584032407752797,
          30.521602262292948,
          30.455676737905016,
          30.386216544831324,
          30.31318093227596,
          30.236527625175373,
          30.156212757009992,
          30.072190798358115,
          29.98441448086264,
          29.892834716257138,
          29.797400510056242,
          29.698058869485568,
          29.594754705177184,
          29.487430726113853,
          29.37602732725152,
          29.260482469193466,
          29.140731549221282,
          29.016707262914945,
          28.888339455513186,
          28.755554962070484,
          28.618277435363765,
          28.476427160380705,
          28.32992085409034,
          28.178671449040174,
          28.022587859151084,
          27.861574725885532,
          27.69553214272903,
          27.524355355677187,
          27.34793443710618,
          27.166153930070568,
          26.978892459666472,
          26.786022307636696,
          26.587408945856,
          26.382910523704624,
          26.172377303602804,
          25.95565103811547,
          25.732564281016604,
          25.502939623493724,
          25.266588845247362,
          25.02331196852222,
          24.7728962010668,
          24.515114751550875,
          24.249725497987388,
          23.976469486087762,
          23.6950692300518,
          23.405226782853376,
          23.106621536363797,
          22.798907703291544,
          22.481711422449184,
          22.154627415653938,
          21.817215107794468,
          21.468994100106716,
          21.10943885894457,
          20.737972446125333,
          20.35395906926243,
          19.956695167027856,
          19.545398658832735,
          19.119195871859453,
          18.67710549726436,
          18.21801870126394,
          17.74067419427575,
          17.243626592769687,
          16.725205714130407,
          16.18346339249555,
          15.616102768086023,
          15.020382387607466,
          14.3929831345408,
          13.83937463235549,
          13.252937850664251,
          12.740381628540282,
          12.19848977441952,
          11.724533976764985,
          11.224454295987488,
          10.786906904330843,
          10.326005194575021,
          9.922727763832459,
          9.498517719620285,
          9.127489137918463,
          8.737674673681362,
          8.397026785089901,
          8.03952192634431,
          7.727544270659348,
          7.400464571549939,
          7.115572257797355,
          6.81719003916117,
          6.557855641257779,
          6.2865195290211275,
          6.051187961314525,
          5.805226846840804,
          5.592249804426532,
          5.369899808822305,
          5.177522620329716,
          4.976911137915913,
          4.8033160110517965,
          4.622506273379207,
          4.46588657460931,
          4.302955544434342,
          4.161589154105994,
          4.014704819642408,
          3.8870074107528803,
          3.7544850274084456,
          3.639039716600723,
          3.51937298664951,
          3.4149417538081606,
          3.306814465510317,
          3.2123392585011774,
          3.1146256368805285,
          3.0290134097717276,
          2.9406027180357523,
          2.8630552468742834,
          2.7830980467164856,
          2.71309949295977,
          2.641040182064626,
          2.5782780812905455,
          2.5137773156029533,
          2.4582379518663378,
          2.4012658499075608,
          2.3535152095825165,
          2.309931303256887,
          2.2715507857749806,
          2.2408050827405113,
          2.2096682017096807,
          2.1736110624319487,
          2.133180908467738,
          2.089733515979652,
          2.0441104630094324,
          1.996884338777791,
          1.9484733357551853,
          1.8989590080316918,
          1.8482645878577808,
          1.7963042461222534,
          1.742981560818602,
          1.6881876440548513,
          1.6389470072922199,
          1.588392167409528,
          1.5364172298287377,
          1.4829019179269014,
          1.4347924556261986,
          1.3852990281735988,
          1.3343031447464335,
          1.2873100456557385,
          1.2388965695916365,
          1.1889368673915346,
          1.1430614624541795,
          1.0957313185360626,
          1.0468143096358387,
          1.0018790029101443,
          0.9554474301264844,
          0.9073819204194334,
          0.8629909912098385,
          0.8170452564921623,
          0.7693993901846211,
          0.7198885366773796,
          0.6748985133191941,
          0.6281981600967332,
          0.5796323005616099,
          0.5290311920163396,
          0.48311144545367973,
          0.43525737609383897,
          0.39463490946657964,
          0.3523164096024722,
          0.316826160261197,
          0.28012414219944864,
          0.24840071706659123,
          0.2158484618546498,
          0.1870280282747026,
          0.15764488765739554,
          0.13113764031023423,
          0.10426563329820598,
          0.07711714353503207,
          0.053341820615296735,
          0.029417258240485262,
          0.005421832658566124,
          -0.018586937891206762,
          -0.04254576082067764,
          -0.06638655129693401,
          -0.09003779185874813,
          -0.11342622627906956,
          -0.131956227721579,
          -0.14527180659095745,
          -0.15850947657670691,
          -0.17172345639998993,
          -0.18582124526494428,
          -0.2003652616442516,
          -0.21515176672412684,
          -0.23010343678431633,
          -0.24520538652827678,
          -0.26048064959414724,
          -0.2759853445825519,
          -0.29182534977141905,
          -0.30823241719142075,
          -0.3259249774288548,
          -0.3392177694026501,
          -0.35218313061182305,
          -0.36470027470144645,
          -0.3767774616327669,
          -0.3890816062023984,
          -0.4015142955685793,
          -0.41402752334896314,
          -0.4266131233838616,
          -0.43928210925576616,
          -0.45205495035008775,
          -0.4649555873851048,
          -0.47800551539793956,
          -0.4912148540752508,
          -0.5045674200715728,
          -0.5180005059197426,
          -0.5313962972409807,
          -0.544611517695804,
          -0.5575252273093158,
          -0.5700662658422792,
          -0.5822056918583566,
          -0.5939361775959127,
          -0.6052560532148519,
          -0.6161607200005078,
          -0.6266386688942056,
          -0.6366693741937057,
          -0.6462222913797446,
          -0.6552563926138854,
          -0.6637202802894784,
          -0.6715531702305805,
          -0.6786870773942686,
          -0.6850502544588146,
          -0.6905713434939186,
          -0.6951831372398155,
          -0.6988248221406271,
          -0.7014422310013603,
          -0.7029864825897765,
          -0.7034118322991385,
          -0.7026734771089518,
          -0.700725726477243,
          -0.6975206508612487,
          -0.6930071538851053,
          -0.6871303597939684,
          -0.6798312116618952,
          -0.6710461994391473,
          -0.660707161670551,
          -0.6487411242875359,
          -0.6350701536023076,
          -0.6196112096155002,
          -0.6022759914251841,
          -0.5829707699815029,
          -0.5615962054976733,
          -0.5380471480359779,
          -0.5122124204434647,
          -0.48397458318360453,
          -0.45320968075384027,
          -0.41978696943671484,
          -0.3835686261290515,
          -0.3444094379259248,
          -0.30215647209055296,
          -0.2566487259372572,
          -0.20771675610723658,
          -0.15518228661789937,
          -0.09885779496849709,
          -0.03854607554266135,
          0.025960220548008145,
          0.0948790701287445,
          0.16843958814486779,
          0.24688256443650947,
          0.3304610283049668,
          0.41944084210106736,
          0.5141013251876284,
          0.614735909672449,
          0.7216528294642808,
          0.8351758442174853,
          0.9556449999057122,
          1.0834174278242854,
          1.2188681839493019,
          1.3623911307137933,
          1.5143998633505882,
          1.6753286832116336,
          1.8456336204399948,
          2.0257935087693655,
          2.2163111152427333,
          2.417714327960547,
          2.630557405218173,
          2.8554222896149173,
          3.0929199911723924,
          3.3436920438010764,
          3.6084120399118986,
          3.887787248655916,
          4.182560323810926,
          4.493511108335312,
          4.821458543402417,
          5.167262691352961,
          5.5318268833387965,
          5.916100004740317,
          6.321078933960476,
          6.747811154036144,
          7.197397560749368,
          7.670995497442251,
          8.169822054973661,
          8.695157686323542,
          9.248350201704287,
          9.830819230472656,
          10.444061267799457,
          11.049529447326409,
          11.64034665705875,
          12.21739602509452,
          12.781457553267696,
          13.333224753356212,
          13.873317924086518,
          14.402294869739068,
          14.92065964382283,
          15.428869749457125,
          15.927342120223868,
          16.41645812744378,
          16.89656780290616,
          17.367993423897374,
          17.831032575730266,
          18.28596078299281,
          18.733033782353434,
          19.17248949554483,
          19.604549750059444,
          20.029421786365358,
          20.447299583524874,
          20.858365029584572,
          21.262788958649416,
          21.660732072964116,
          22.05234576539651,
          22.437772855313177,
          22.817148248872687,
          23.190599533115616,
          23.558247511883653,
          23.92020669045262,
          24.27658571481845,
          24.627487770772053,
          24.97301094721333,
          25.313248567582864,
          25.648289492796817,
          25.97821839864614,
          26.303116030264746,
          26.623059435957114,
          26.938122182405742,
          27.24837455305037,
          27.553883731225877,
          27.854713969468712,
          28.150926746249855,
          28.44258091125734,
          28.7297328202331,
          29.012436460260933,
          29.290743566320153,
          29.564703729827393,
          29.834364499822268,
          30.099771477395045,
          30.3609684038826,
          30.61799724332505,
          30.87089825961916,
          31.119710088768837,
          31.3644698065977,
          31.605212992251957,
          31.841973787798253,
          32.07478495419177,
          32.30367792386566,
          32.52868285017409,
          32.74982865389989,
          32.967143067021745,
          33.18065267391743,
          33.390382950170775,
          33.59635829912796,
          33.79860208634601,
          33.99713667206177,
          34.191983441795934,
          34.3831628352059,
          34.57069437328261,
          34.75459668399141,
          34.93488752643596,
          35.111583813629785,
          35.28470163394722,
          35.454256271322855,
          35.62026222425997,
          35.78273322371299,
          35.941682249889304,
          36.09712154802877,
          36.249062643202535,
          36.39751635417614,
          36.5424928063762,
          36.684001443997424,
          36.822051041285334,
          36.956649713023566,
          37.08780492425801,
          37.21552349928129,
          37.33981162990321,
          37.46067488303113,
          37.57811820757739,
          37.69214594071667,
          37.80276181350631,
          37.909968955885255,
          38.01376990106916,
          38.11416658934727,
          38.21116037129763,
          38.304752010425176,
          38.39494168523399,
          38.4817289907373,
          38.56511293941101,
          38.64509196159669,
          38.72166390535296,
          38.794826035758156,
          38.864575033666014,
          38.93090699390815,
          38.99381742294753,
          39.05330123597265,
          39.10935275343158,
          39.16196569699776,
          39.21113318496098,
          39.25684772703148,
          39.299101218552316,
          39.33788493410218,
          39.373189520479585,
          39.405004989053,
          39.43332070745738,
          39.45812539062386,
          39.479407091120365,
          39.49715318878079,
          39.51135037960165,
          39.52198466388029,
          39.52904133356569,
          39.53250495879292,
          39.532359373572774,
          39.528587660594,
          39.52117213511163,
          39.510094327871954,
          39.49533496703583,
          39.47687395905468,
          39.45469036844827,
          39.42876239643004,
          39.399067358324814,
          39.36558165971527,
          39.32828077125377,
          39.28713920206571,
          39.24213047166995,
          39.193227080332605,
          39.14040047776855,
          39.08362103009132,
          39.02285798491485,
          38.95807943449012,
          38.889252276764225,
          38.816342174229106,
          38.73931351042272,
          38.65812934393558,
          38.57275135975677,
          38.483139817788825,
          38.38925349833924,
          38.29104964438514,
          38.188483900387205,
          38.081510247412936,
          37.97008093430476,
          37.854146404610184,
          37.73365521895909,
          37.60855397255109,
          37.47878720738531,
          37.344297318821425,
          37.205024456036874,
          37.06090641588926,
          36.91187852965641,
          36.75787354206725,
          36.59882148198121,
          36.43464952401056,
          36.26528184030277,
          36.09063944162196,
          35.91064000677363,
          35.72519769931631,
          35.53422297038671,
          35.33762234633024,
          35.13529819968459,
          34.92714850189241,
          34.71306655592541,
          34.49294070678754,
          34.26665402760966,
          34.03408397876817,
          33.795102037123264,
          33.54957329210195,
          33.297356004908515,
          33.03830112664087,
          32.77225177050934,
          32.49904263265939,
          32.21849935531612,
          31.930437825017243,
          31.63466339761278,
          31.330970040398576,
          31.01913938021654,
          30.698939644517136,
          30.370124480187172,
          30.032431632311962,
          29.685581461871735,
          29.329275277517752,
          28.96319345189296,
          28.58699328721146,
          28.200306587746315,
          27.80273688809741,
          27.39385627517103,
          26.973201728061454,
          26.540270882621595,
          26.09451710532991,
          25.635343732517715,
          25.162097294000045,
          24.6740594916293,
          24.17043763906782,
          23.6503531830978,
          23.112827810285424,
          22.55676648287487,
          21.98093652502453,
          21.38394156532654,
          20.76418868784837,
          20.119846478192752,
          19.44879065315606,
          18.748532430648062,
          18.01612238080894,
          17.24801857164001,
          16.53826600731975,
          15.78966970293046,
          15.139313930225173,
          14.453138954606713,
          13.856820209276579,
          13.229037046112659,
          12.683667646750223,
          12.110600519963835,
          11.613215357860689,
          11.091440397193322,
          10.63919370596235,
          10.165494199078541,
          9.75559442816816,
          9.32686674836088,
          8.956486562135607,
          8.569628251546458,
          8.23583775309227,
          7.887666426610104,
          7.587429553416883,
          7.274672370419609,
          7.00491122526998,
          6.724267932776858,
          6.481964702835983,
          6.230211306519959,
          6.012508251640651,
          5.786599462941604,
          5.590871847669747,
          5.388015704778555,
          5.211911930700582,
          5.029610276177071,
          4.871065643048554,
          4.707126944201441,
          4.564361484700015,
          4.416896761453714,
          4.288222778870141,
          4.15549387607777,
          4.039420236895179,
          3.9198724916723555,
          3.81545315655086,
          3.708070915793747,
          3.614632018744079,
          3.5186939550099843,
          3.435928806352816,
          3.3510947733957686,
          3.279316869422966,
          3.2058845823943596,
          3.146999972592778,
          3.09622092893833,
          3.044593758364871,
          2.9922341284425116,
          2.9371410075299518,
          2.877545682827906,
          2.814740947726472,
          2.749643633695948,
          2.6829153968420196,
          2.614805737332632,
          2.5452220696364276,
          2.474061051181062,
          2.4012067675240845,
          2.326528508484442,
          2.2596788984232465,
          2.191212543761202,
          2.121003277931205,
          2.04890788438309,
          1.9847512781305936,
          1.918933011587159,
          1.8513152107681414,
          1.7896907752143851,
          1.7263972567010737,
          1.661294674023968,
          1.6023671811079891,
          1.5417665267765874,
          1.4793621069383183,
          1.4231190902845239,
          1.3652099287745243,
          1.3055102080745622,
          1.251799363806826,
          1.1964344604512926,
          1.1392935045877937,
          1.0878366231927106,
          1.034737316537747,
          0.9798715621980297,
          0.9302417352967192,
          0.8789744973082398,
          0.825938119184435,
          0.7774645832620861,
          0.7273416693727142,
          0.6754223723849906,
          0.6215403900679395,
          0.5726376265766915,
          0.5219574972769606,
          0.46935860135566654,
          0.42218087752771727,
          0.3731308061790783,
          0.33277540707769104,
          0.2909077193082067,
          0.25597402237968137,
          0.22004905194415475,
          0.1891010516920206,
          0.15751767135377887,
          0.12966439411592146,
          0.10141692299080475,
          0.07604094469744406,
          0.050447075538029046,
          0.024726203385371792,
          0.002262010666499695,
          -0.02023244356598735,
          -0.042680067640727654,
          -0.06502477298296912,
          -0.08720644960248979,
          -0.10916200535606047,
          -0.13082668097690364,
          -0.1530237370063642,
          -0.16794007601900635,
          -0.1792280510992751,
          -0.19040427424828527,
          -0.20170063537663083,
          -0.21387336708194288,
          -0.22650725112897513,
          -0.2393984037128325,
          -0.2524545183520547,
          -0.26563725273366684,
          -0.278935408423956,
          -0.29235221841761255,
          -0.3059074495627081,
          -0.31968642563049926,
          -0.33418037465123457,
          -0.34841332442191325,
          -0.3619777918609721,
          -0.374887980037893,
          -0.3871615145979529,
          -0.39881864149298296,
          -0.40988150327448114,
          -0.4207767905144596,
          -0.43156442031570574,
          -0.4422689511153127,
          -0.45290913837629515,
          -0.46349535165813543,
          -0.4740254926049757,
          -0.48447813723661337,
          -0.4948038203338459,
          -0.5049222667359018,
          -0.5147318030124907,
          -0.524130413663917,
          -0.5330364465091976,
          -0.5413941155290034,
          -0.5491654543515545,
          -0.5563191032042999,
          -0.5628219696457852,
          -0.5686346706851705,
          -0.5737089923726227,
          -0.5779873543383941,
          -0.5814037865429995,
          -0.583886466906765,
          -0.585361679016319,
          -0.585758446476976,
          -0.5850124472802349,
          -0.5830678196853973,
          -0.5798764130222422,
          -0.575395222598066,
          -0.5695832604200882,
          -0.5623988196374189,
          -0.5537975126955516,
          -0.5437310469699329,
          -0.5321465391247436,
          -0.5189861650532036,
          -0.5041869940658745,
          -0.4876809104947937,
          -0.46939456633498633,
          -0.44924933437448383,
          -0.4271612464441025,
          -0.4030409098269113,
          -0.3767933992914142,
          -0.34831812442105137,
          -0.31750867285919077,
          -0.284252630479377,
          -0.2484313794629724,
          -0.20991987517784635,
          -0.1685864025535069,
          -0.12429231244981513,
          -0.07689173831743978,
          -0.02623129330593906,
          0.027850252244534503,
          0.08552231305459763,
          0.14696285121488292,
          0.2123587589409417,
          0.28190626226916704,
          0.35581134627579863,
          0.43429020248693284,
          0.5175696992172673,
          0.6058878756542813,
          0.6994944605584622,
          0.7986514164906119,
          0.9036335106379375,
          1.0147289132313475,
          1.1322398246976795,
          1.256483132762244,
          1.3877911006763821,
          1.5265120879184522,
          1.6730113047197053,
          1.8276716017909722,
          1.9908942967516712,
          2.1631000388761183,
          2.3447297135561147,
          2.5362453883996694,
          2.738131302442926,
          2.9508949004665217,
          3.175067914173847,
          3.4112074921717643,
          3.659897380786849,
          3.921749157841924,
          4.1974035214620615,
          4.487531636358179,
          4.792836539787306,
          5.114054609918265,
          5.4519570990932715,
          5.807351735042387,
          6.181084393024497,
          6.574040842458663,
          6.987148571712766,
          7.421378695661849,
          7.877747950912724,
          8.357320784820931,
          8.861211545688175,
          9.390586783278316,
          9.946667671417833,
          10.530732567694908,
          11.144119730419108,
          11.788230219569892,
          12.464531018533085,
          13.17455842691296,
          13.919921795657903,
          14.658193091400285,
          15.37721411118297,
          16.078209489011464,
          16.762255394391026,
          17.430304344785515,
          18.08320483442293,
          18.721717057578445,
          19.34652564561154,
          19.958250090120558,
          20.55745335149499,
          21.14464902875774,
          21.720307377256745,
          22.28486039518914,
          22.838706151170534,
          23.38221248837494,
          23.9157202128486,
          24.43954585215923,
          24.9539840539007,
          25.459309680557784,
          25.955779646966622,
          26.443634538444833,
          26.92310004112802,
          27.39438821078647,
          27.85769860212172,
          28.313219277057105,
          28.76112770767904,
          29.201591587124344,
          29.63476955975265,
          30.060811880318322,
          30.479861010485852,
          30.89205215989203,
          31.297513777987845,
          31.69636800207787,
          32.08873106627158,
          32.47471367547066,
          32.85442134800833,
          33.22795473011402,
          33.59540988500179,
          33.956878559057216,
          34.31244842730859,
          34.662203320130885,
          35.00622343290592,
          35.344585520184474,
          35.677363075725,
          36.004626499643756,
          36.32644325378143,
          36.64287800627874,
          36.95399276625878,
          37.25984700941967,
          37.560497795268844,
          37.85599987665584,
          38.1464058022043,
          38.43176601218203,
          38.71212892830369,
          38.987541037915705,
          39.25804697297004,
          39.52368958415978,
          39.78451001056038,
          40.04054774508384,
          40.291840696035415,
          40.53842524503129,
          40.7803363015205,
          41.01760735412828,
          41.25027051902734,
          41.47835658552111,
          41.70189505901358,
          41.920914201520944,
          42.135441069874915,
          42.34550155175216,
          42.55112039965238,
          42.752321262943745,
          42.949126718079796,
          43.14155829708981,
          43.329636514430334,
          43.51338089228683,
          43.69280998439956,
          43.86794139849158,
          44.03879181736103,
          44.20537701870423,
          44.36771189372654,
          44.525810464591956,
          44.67968590076559,
          44.82935053429145,
          44.974815874049504,
          45.11609261903075,
          45.253190670666385,
          45.38611914424537,
          45.514886379450225,
          45.6394999500375,
          45.759966672692926,
          45.87629261507818,
          45.988483103098126,
          46.096542727400944,
          46.20047534913157,
          46.30028410495268,
          46.39597141134786,
          46.48753896821688,
          46.57498776177411,
          46.65831806675741,
          46.73752944795425,
          46.81262076105269,
          46.88359015281469,
          46.95043506058048,
          47.01315221109886,
          47.071737618686164,
          47.12618658270791,
          47.1764936843815,
          47.22265278289209,
          47.26465701081572,
          47.302498768839655,
          47.33616971976877,
          47.365660781807655,
          47.390962121103165,
          47.41206314352919,
          47.42895248570108,
          47.44161800519418,
          47.450046769949296,
          47.454225046840655,
          47.45413828937625,
          47.44977112450693,
          47.441107338513525,
          47.428129861933535,
          47.410820753498484,
          47.389161183036336,
          47.36313141330217,
          47.332710780687684,
          47.29787767476572,
          47.25860951661026,
          47.21488273584368,
          47.16667274634499,
          47.11395392055355,
          47.0566995623032,
          46.99488187810632,
          46.92847194680807,
          46.85743968752668,
          46.781753825780044,
          46.701381857703424,
          46.61629001224779,
          46.52644321123896,
          46.431805027175436,
          46.33233763862872,
          46.228001783094285,
          46.11875670714355,
          46.00456011369666,
          45.88536810623974,
          45.76113512977962,
          45.631813908324006,
          45.497355378650354,
          45.35770862010992,
          45.212820780190036,
          45.06263699553558,
          44.907100308100254,
          44.74615157607467,
          44.57972937920278,
          44.4077699180632,
          44.23020690685256,
          44.046971459164894,
          43.857991966214975,
          43.66319396689558,
          43.462500009002085,
          43.25582950089028,
          43.04309855276084,
          42.8242198066756,
          42.5991022543236,
          42.3676510414488,
          42.12976725772708,
          41.88534771075985,
          41.634284682687685,
          41.37646566776933,
          41.11177308907241,
          40.840083992204875,
          40.561269713768034,
          40.2751955219248,
          39.98172022615561,
          39.68069575289498,
          39.371966683313545,
          39.05536974901517,
          38.73073328084102,
          38.39787660530644,
          38.05660938241948,
          37.706730877721654,
          37.34802916032766,
          36.980280217490495,
          36.60324697473673,
          36.21667820887385,
          35.820307339076706,
          35.4138510787831,
          34.99700792812934,
          34.56945648305897,
          34.13085353286907,
          33.68083191264026,
          33.21899807047835,
          32.744929301471686,
          32.258170590319224,
          31.758230992172248,
          31.244579465645753,
          30.71664005222293,
          30.173786271122555,
          29.61533456633837,
          29.04053660057497,
          28.448570135794604,
          27.8385281672656,
          27.209405880509923,
          26.56008486843456,
          25.88931386453376,
          25.195684995347893,
          24.477604197759206,
          23.733253931742933,
          22.960545563247912,
          22.157057658163282,
          21.31995468679103,
          20.445877889669866,
          19.530795582165627,
          18.70049007088544,
          17.82682717831062,
          17.07361078159554,
          16.281572398985237,
          15.599141260825348,
          14.883285663227062,
          14.267048033992406,
          13.622019574753852,
          13.067167200528983,
          12.487520740335409,
          11.989068328804114,
          11.469271141936522,
          11.022158607011605,
          10.55667350509042,
          10.155914507088372,
          9.739337762155268,
          9.380171068606145,
          9.00737748220727,
          8.685385853261392,
          8.35164301418729,
          8.062826103112533,
          7.763862900731537,
          7.504668607675962,
          7.236701893285537,
          7.00402899201118,
          6.763761157116699,
          6.55494744147514,
          6.339549247061247,
          6.151702981397685,
          5.958260023062983,
          5.7895774839575695,
          5.616131049762136,
          5.465226083211342,
          5.310298104168736,
          5.176255701494175,
          5.0388620189130595,
          4.9214444026521305,
          4.801300828160246,
          4.701602975999621,
          4.611347453648048,
          4.5330158861927075,
          4.465044953672153,
          4.396277440027922,
          4.317626302352134,
          4.231130826819511,
          4.139292064878028,
          4.0437304935106,
          3.9455842998842505,
          3.845561275807571,
          3.7435404723302175,
          3.6393871736998387,
          3.532950598495238,
          3.4240610837712024,
          3.326241656141487,
          3.226235038357057,
          3.1238755986896747,
          3.018975505264659,
          2.9261477088034034,
          2.831107193578045,
          2.7336754677833994,
          2.645470671352247,
          2.555067555149677,
          2.4622968820532494,
          2.3790473481034558,
          2.293628305250091,
          2.2058920034086977,
          2.127666964262903,
          2.0473221224196507,
          1.9647271272498905,
          1.8914147141784525,
          1.8160452331869226,
          1.7385015005130908,
          1.6698652601869348,
          1.5992415700299898,
          1.5265223895492115,
          1.462235915465398,
          1.396033787100275,
          1.327813274741427,
          1.2674765615067416,
          1.205294499741376,
          1.141165823250849,
          1.0843011487646554,
          1.0256567496464961,
          0.9651286053368416,
          0.9111434175434263,
          0.855435577662061,
          0.7978932682569299,
          0.7459708012267031,
          0.6923661818622974,
          0.6369540690045099,
          0.5857873455818976,
          0.5329290267459545,
          0.47824998395578183,
          0.42738515078685935,
          0.37473899997908083,
          0.33017520957761415,
          0.28898671904059864,
          0.25091572971394127,
          0.21189318956354133,
          0.17914045995387162,
          0.14570599905115886,
          0.11682255373170466,
          0.08754312139921411,
          0.06170710500461417,
          0.03566987929377831,
          0.012275960147975336,
          -0.011176858183559466,
          -0.03460271354812903,
          -0.0552050239201094,
          -0.07571265424659694,
          -0.09605690766490012,
          -0.11618539563949712,
          -0.13604362298031103,
          -0.15557602370893578,
          -0.17607507956851712,
          -0.19089254064381336,
          -0.20279109422443592,
          -0.21184780831480593,
          -0.2207900249754088,
          -0.2304249570689277,
          -0.24085995821766673,
          -0.2517285679948216,
          -0.26284426822755463,
          -0.2741059560059996,
          -0.28544606546553347,
          -0.29679566524208173,
          -0.3080504440883899,
          -0.3190263359988819,
          -0.3295769530992138,
          -0.3419057635983186,
          -0.35415361668110873,
          -0.3657246824858406,
          -0.3766354467592308,
          -0.38690561977232063,
          -0.3965573524132005,
          -0.4057843439045504,
          -0.41473541600454533,
          -0.4234408914601448,
          -0.43191875813637415,
          -0.440175522008327,
          -0.4482060662945888,
          -0.45599192044938086,
          -0.4634982553422165,
          -0.47067101941001066,
          -0.47743755419593853,
          -0.4837108160313745,
          -0.48939947318435156,
          -0.49441917951477143,
          -0.49869786683870015,
          -0.5021731199025593,
          -0.5047857344663101,
          -0.506473973647401,
          -0.5071705183729434,
          -0.5068020725838605,
          -0.5052918436452164,
          -0.5025643142786287,
          -0.4985508930253066,
          -0.49319423456525896,
          -0.48644919402975545,
          -0.4782800992756291,
          -0.46865596629642303,
          -0.4575457924588793,
          -0.4449151768417887,
          -0.43072442822263696,
          -0.4149277637371444,
          -0.39747313081185004,
          -0.37830231422101035,
          -0.35735113358303067,
          -0.33454963587805575,
          -0.30982224361657373,
          -0.28308784712753604,
          -0.2542598416964827,
          -0.22324611485366586,
          -0.18994899009990454,
          -0.1542651329255866,
          -0.1160854240861958,
          -0.07529480404892762,
          -0.031772091720361724,
          0.014610220254128272,
          0.06398619190372548,
          0.11649668282369581,
          0.17228961870724346,
          0.23152027699461808,
          0.29435159133770467,
          0.36095447481365567,
          0.43150816193653435,
          0.5062005696919264,
          0.5852286779174427,
          0.6687989294272058,
          0.7571276504064068,
          0.8504414916259302,
          0.9489778911064202,
          1.0529855589516863,
          1.162724985065128,
          1.2784689705781804,
          1.4005031837767943,
          1.5291267414551581,
          1.6646528166022851,
          1.807409273329455,
          1.9577393301025259,
          2.1160022522168314,
          2.2825740746005256,
          2.457848356025421,
          2.6422369657698623,
          2.836170903842505,
          3.040101155909401,
          3.2544995840290833,
          3.4798598542865373,
          3.7166984024241234,
          3.9655554386549725,
          4.226995992562906,
          4.501610999245202,
          4.790018427581388,
          5.092864451559683,
          5.4108246654776275,
          5.744605343661853,
          6.094944745431885,
          6.46261446552984,
          6.848420830429414,
          7.25320634047926,
          7.677851157735817,
          8.123274638851875,
          8.590436912498232,
          9.080340499887095,
          9.594031977085226,
          10.132603677262415,
          10.697195430420523,
          11.288996338108726,
          11.909246580343355,
          12.559239251490007,
          13.240322222527915,
          13.953900027350084,
          14.701435772323576,
          15.484453070895661,
          16.304538009486578,
          17.163341157729842,
          18.025251998817563,
          18.8635183859957,
          19.67969660227591,
          20.47515003961333,
          21.25108207484231,
          22.008561954386327,
          22.748545440341907,
          23.471891470681527,
          24.179375744755667,
          24.871701907327626,
          25.549510835672816,
          26.213388412772524,
          26.86387208083885,
          27.501456403663088,
          28.126597817002867,
          28.739718708873614,
          29.341210943009134,
          29.93143891664043,
          30.51074222648779,
          31.07943800328972,
          31.63782296443293,
          32.186175225650224,
          32.72475590585093,
          33.253810553546764,
          33.773570418793625,
          34.28425359082972,
          34.78606601853022,
          35.27920242825394,
          35.76384715154236,
          36.24017487337086,
          36.708351310167814,
          37.16853382556921,
          37.62087199081941,
          38.065508095836485,
          38.50257761618866,
          38.93220964057989,
          39.35452726288079,
          39.76964794225424,
          40.177683834513346,
          40.57874209748368,
          40.97292517282852,
          41.36033104652455,
          41.74105348993551,
          42.11518228321936,
          42.48280342262712,
          42.84399931308435,
          43.19884894730905,
          43.54742807258879,
          43.88980934623346,
          44.22606248061762,
          44.55625437864283,
          44.88044926036548,
          45.198708781474124,
          45.51109214423204,
          45.817656201445274,
          46.1184555539706,
          46.41354264222864,
          46.70296783214703,
          46.98677949592526,
          47.26502408797552,
          47.53774621636888,
          47.80498871008369,
          48.06679268233469,
          48.323197590231715,
          48.57424129100535,
          48.8199600950115,
          49.060388815711136,
          49.295560816811026,
          49.525508056732164,
          49.75026113055911,
          49.96984930961791,
          50.184300578814195,
          50.39364167185192,
          50.597898104450785,
          50.7970942056651,
          50.99125314740222,
          51.18039697223305,
          51.36454661957525,
          51.5437219503301,
          51.717941770045364,
          51.88722385066588,
          52.0515849509412,
          52.21104083554332,
          52.36560629294639,
          52.51529515212194,
          52.66012029809135,
          52.80009368637837,
          52.93522635640026,
          53.065528443833976,
          53.19100919198733,
          53.311676962208274,
          53.4275392433552,
          53.53860266035589,
          53.64487298187722,
          53.74635512712249,
          53.84305317177673,
          53.934970353114366,
          54.02210907428391,
          54.10447090777754,
          54.18205659809934,
          54.25486606363739,
          54.32289839774499,
          54.38615186903638,
          54.44462392089812,
          54.498311170216766,
          54.547209405320004,
          54.591313583130784,
          54.630617825525164,
          54.66511541488903,
          54.694798788868155,
          54.71965953429228,
          54.73968838027048,
          54.75487519043564,
          54.76520895432367,
          54.77067777787082,
          54.77126887300624,
          54.76696854631325,
          54.75776218674073,
          54.74363425233042,
          54.724568255932574,
          54.70054674987344,
          54.671551309543,
          54.637562515858015,
          54.598559936561436,
          54.55452210631102,
          54.50542650550725,
          54.45124953780659,
          54.39196650626149,
          54.327551588029465,
          54.257977807576715,
          54.18321700831104,
          54.10323982256345,
          54.01801563983564,
          53.927512573221975,
          53.831697423914505,
          53.73053564368013,
          53.62399129520538,
          53.512027010183346,
          53.394603945015604,
          53.271681733989176,
          53.143218439777534,
          53.00917050110476,
          52.869492677395165,
          52.72413799022129,
          52.57305766134393,
          52.4162010471247,
          52.253515569069954,
          52.084946640244986,
          51.9104375872818,
          51.729929567667426,
          51.54336148198779,
          51.35066988075849,
          51.15178886545679,
          50.946649983316966,
          50.73518211542998,
          50.517311357628195,
          50.29296089360079,
          50.062050859625494,
          49.82449820024383,
          49.58021651414557,
          49.32911588944813,
          49.07110272747851,
          48.80607955407513,
          48.533944817321505,
          48.25459267050603,
          47.967912738982065,
          47.67378986944173,
          47.37210385996707,
          47.06272916902438,
          46.745534601358756,
          46.42038296851043,
          46.087130721390615,
          45.74562755205089,
          45.39571596141646,
          45.037230789344555,
          44.66999870289472,
          44.293837638154656,
          43.90855619033263,
          43.513952946094,
          43.10981575127,
          42.69592090606579,
          42.27203227873581,
          41.83790032731539,
          41.39326101738357,
          40.93783462191288,
          40.471324386979425,
          39.99341504438426,
          39.50377114896604,
          39.00203521444391,
          38.48782561685796,
          37.96073422885925,
          37.420323740987484,
          36.866124617311385,
          36.297631621950714,
          35.71429983946337,
          35.11554009508538,
          34.5007136593185,
          33.86912609395784,
          33.22002006144056,
          32.55256687371933,
          31.865856497064442,
          31.158885650074005,
          30.43054352631751,
          29.67959452968997,
          28.904657213855913,
          28.104178343369487,
          27.276400606872887,
          26.419321955690833,
          25.530643724038306,
          24.60770346272692,
          23.647386539301504,
          22.6460075950758,
          21.710467049161306,
          20.730959478922113,
          19.890824490122455,
          19.011053172873076,
          18.255744966123782,
          17.466843861601742,
          16.78879090036594,
          16.082185249629365,
          15.473966848048143,
          14.84141995425594,
          14.296008815362164,
          13.729820189274541,
          13.240737539102023,
          12.733870764074823,
          12.295271368129479,
          11.841418116500153,
          11.448123997572138,
          11.041720713323498,
          10.68922478457114,
          10.32544182689025,
          10.008896728943334,
          9.682804425644576,
          9.3990002149716,
          9.107112778671633,
          8.853567002485784,
          8.593224147867115,
          8.368187821474214,
          8.137505357699116,
          7.94025089495507,
          7.738404624544417,
          7.57009658453219,
          7.416713640597105,
          7.281360634237241,
          7.171444272679136,
          7.059885619915674,
          6.937703123477048,
          6.800789729473227,
          6.654038142759446,
          6.500557752870297,
          6.342471942219988,
          6.181337684719406,
          6.017141797882657,
          5.849685060315946,
          5.678744903340156,
          5.504071355475211,
          5.346477894026733,
          5.185533498248208,
          5.020991183401031,
          4.869771812316436,
          4.71518897878228,
          4.556982045758879,
          4.41376801655014,
          4.267235375346353,
          4.117133603910755,
          3.982761818997248,
          3.8451348914500105,
          3.704046547802531,
          3.5788127930839453,
          3.4504283040594683,
          3.318724098214152,
          3.202568913197713,
          3.08339401598886,
          2.9610603769614525,
          2.8536925416941417,
          2.7434515086329827,
          2.630221544644813,
          2.5312015896757103,
          2.429462157327622,
          2.335522934628988,
          2.239015635628616,
          2.1499692432455353,
          2.0584545393788662,
          1.9740502130056592,
          1.8872749953623154,
          1.8072551452432435,
          1.7249588082928873,
          1.6490611608916879,
          1.5709779210189714,
          1.4989363540281682,
          1.4247962002104537,
          1.3563400959757348,
          1.2858682148823806,
          1.220719940085617,
          1.1536342116349776,
          1.0845014649939166,
          1.0239121196875425,
          0.9614648432361088,
          0.8970831286073192,
          0.8402171537945954,
          0.7815983965881983,
          0.7211416760477573,
          0.6669650935248362,
          0.6111201219741131,
          0.5535122936956346,
          0.5005357708342836,
          0.4459210421173843,
          0.38959567805863643,
          0.3401631030555529,
          0.2942866167722232,
          0.2522664367613559,
          0.21366747635757974,
          0.1742144278427332,
          0.14149494636716345,
          0.10818356900289969,
          0.07973234280937438,
          0.05097324060658305,
          0.025861805669541698,
          0.0006294735303070982,
          -0.021830340086668166,
          -0.044278644844227846,
          -0.06662457613109486,
          -0.08608393202828886,
          -0.10539352781395872,
          -0.12448320234279797,
          -0.14330176921881865,
          -0.16179622366061783,
          -0.17991272975165445,
          -0.19878173698710133,
          -0.21288026850836583,
          -0.22445939096741221,
          -0.23401648818423032,
          -0.2415128307934801,
          -0.2488793735105159,
          -0.25709038570523596,
          -0.2659668641309013,
          -0.27520970447909304,
          -0.2846472479801259,
          -0.29414747354154913,
          -0.3035469471828381,
          -0.31260021185794046,
          -0.3213047787896226,
          -0.3300736942951902,
          -0.3404947212433817,
          -0.3530757245703427,
          -0.3629884434439836,
          -0.3722170242764591,
          -0.38078251582765,
          -0.38870866157493444,
          -0.3961012078394349,
          -0.4031034163073823,
          -0.40974332612983794,
          -0.41603150045105164,
          -0.4219643130565987,
          -0.42752520207910466,
          -0.43268461455765805,
          -0.43739859573423645,
          -0.44160865871408245,
          -0.445241896499531,
          -0.44821284449563775,
          -0.45042807138218327,
          -0.4517925003708118,
          -0.45221449107839573,
          -0.45160708087836615,
          -0.44988585131426134,
          -0.44696640735613885,
          -0.4427642970427722,
          -0.4371978668966719,
          -0.43019506139678465,
          -0.4217000170259156,
          -0.4116758760458551,
          -0.4001014607642901,
          -0.3869635274425295,
          -0.37224864350138465,
          -0.3559375846550326,
          -0.3380027172261738,
          -0.3184074432772177,
          -0.2971066508162241,
          -0.27404747817374653,
          -0.24917005861891175,
          -0.22240812526426265,
          -0.19368945624979705,
          -0.16293617750072778,
          -0.13006494941958774,
          -0.09498706224705605,
          -0.057608460199773434,
          -0.017829709682284565,
          0.02445407706633917,
          0.0693533546284334,
          0.11698428737355607,
          0.16746891843114595,
          0.22093536155072405,
          0.277518013676838,
          0.3373577866949539,
          0.40060235726209914,
          0.46740643407719007,
          0.5379320421578757,
          0.6123488239499889,
          0.6908343572146303,
          0.773574489847277,
          0.8607636918039753,
          0.952605424479858,
          1.049312527878695,
          1.1511076260670376,
          1.2582235513469575,
          1.3709037877433992,
          1.4894029343537702,
          1.613987189193251,
          1.744934854128805,
          1.8825368616753924,
          2.0270973242357706,
          2.1789341065525734,
          2.338379422088713,
          2.5057804540247353,
          2.6815000017082924,
          2.8659171531785637,
          3.05942798454133,
          3.262446286934026,
          3.4754043217332704,
          3.6987536046966674,
          3.9329657196420253,
          4.178533162203386,
          4.435970214305178,
          4.705813849557315,
          4.988624670120846,
          5.2849878750630275,
          5.595514260379296,
          5.920841250542554,
          6.261633961245949,
          6.61858629270145,
          6.992422052834113,
          7.383896108982752,
          7.793795566679759,
          8.222940973325418,
          8.672187544291203,
          9.142426408064907,
          9.63458586662798,
          10.149632666136275,
          10.688573271930299,
          11.252455141058332,
          11.8423679836801,
          12.459445003276002,
          13.104864104065093,
          13.779849051089931,
          14.485670566531942,
          15.223647342935411,
          15.995146950152252,
          16.801586609238292,
          17.644433802566198,
          18.52520668386348,
          19.44547424720479,
          20.406856207698738,
          21.373716373798935,
          22.313336202136632,
          23.22752141469548,
          24.117853777290737,
          24.985729240653765,
          25.832387983512234,
          26.65893838366369,
          27.46637636648207,
          28.255601185904776,
          29.027428417939866,
          29.782600751600313,
          30.521797021526172,
          31.245639823715447,
          31.954701979591754,
          32.64951205649715,
          33.330559109388545,
          33.99829677530778,
          34.653146826544884,
          35.295502268361766,
          35.92573005139527,
          36.54417345635002,
          37.15115419861003,
          37.746974292369444,
          38.33191770737858,
          38.90625184611326,
          39.470228864840784,
          40.02408685848099,
          40.56805092621564,
          41.1023341323346,
          41.62713837475753,
          42.14265517194826,
          42.64906637748661,
          43.146544830332864,
          43.63525494777859,
          44.11535326718623,
          44.58698894186373,
          45.05030419576493,
          45.505434741138046,
          45.952510162777145,
          46.39165427208809,
          46.82298543383851,
          47.24661686812139,
          47.66265692980304,
          48.07120936747339,
          48.4723735637011,
          48.866244758218336,
          49.25291425548412,
          49.6324696179367,
          50.004994846112254,
          50.370570546691525,
          50.729274089439805,
          51.08117975390399,
          51.42635886666649,
          51.76487992986228,
          52.096808741618254,
          52.42220850900549,
          52.74113995404808,
          53.05366141328134,
          53.359828931313096,
          53.65969634880047,
          53.95331538522255,
          54.240735716796515,
          54.52200504985499,
          54.79716918998253,
          55.06627210717627,
          55.32935599728439,
          55.58646133994869,
          55.83762695326052,
          56.08289004533445,
          56.32228626297014,
          56.55584973757427,
          56.78361312849619,
          57.00560766391935,
          57.22186317944254,
          57.43240815447263,
          57.63726974653827,
          57.836473823638514,
          58.03004499471607,
          58.21800663835011,
          58.40038092974769,
          58.577188866119634,
          58.74845029050574,
          58.914183914116286,
          59.07440733725988,
          59.229137068901096,
          59.37838854491642,
          59.52217614508295,
          59.66051320885437,
          59.79341204996297,
          59.92088396988382,
          60.0429392701989,
          60.159587263889186,
          60.27083628558615,
          60.376693700811835,
          60.47716591422292,
          60.57225837688584,
          60.66197559260016,
          60.74632112328593,
          60.8252975934496,
          60.898906693738304,
          60.967149183592376,
          61.03002489300593,
          61.087532723399455,
          61.13967064760497,
          61.18643570896998,
          61.22782401957207,
          61.26383075755272,
          61.29445016355125,
          61.31967553624488,
          61.33949922697472,
          61.35391263345662,
          61.36290619255545,
          61.36646937211194,
          61.36459066180326,
          61.35725756301439,
          61.34445657769984,
          61.326173196214846,
          61.30239188407793,
          61.27309606764371,
          61.23826811864728,
          61.197889337586,
          61.15193993589649,
          61.100399016888446,
          61.04324455538139,
          60.9804533760005,
          60.91200113007205,
          60.83786227106529,
          60.758010028509005,
          60.67241638032224,
          60.58105202348213,
          60.48388634294825,
          60.380887378762836,
          60.27202179122899,
          60.15725482407355,
          60.036550265485715,
          59.90987040691656,
          59.77717599952003,
          59.63842620809778,
          59.49357856240883,
          59.34258890568945,
          59.18541134021392,
          59.02199816972443,
          58.85229983852903,
          58.676264867062635,
          58.49383978368569,
          58.304969052473794,
          58.10959499673414,
          57.90765771796612,
          57.699095009947165,
          57.48384226761316,
          57.26183239036471,
          57.032995679394645,
          56.79725972861213,
          56.55454930867788,
          56.30478624364269,
          56.04788927961792,
          55.783773944863135,
          55.512352400611114,
          55.23353328188842,
          54.94722152751645,
          54.65331819839494,
          54.35172028308098,
          54.04232048957217,
          53.725007022093195,
          53.399663341552625,
          53.06616790819523,
          52.72439390481247,
          52.37420893869042,
          52.01547472026779,
          51.64804671624155,
          51.271773774585995,
          50.886497718655946,
          50.49205290718675,
          50.08826575661113,
          49.674954221653465,
          49.2519272296397,
          48.81898406334671,
          48.37591368651814,
          47.92249400535408,
          47.45849105833322,
          46.98365812561463,
          46.497734747965694,
          46.00044564362807,
          45.491499509727525,
          44.970587692690806,
          44.43738270957441,
          43.8915365991678,
          43.332679078062355,
          42.760415472465944,
          42.174324391178935,
          41.57395509862441,
          40.95882453881741,
          40.328413951303446,
          39.682165007857876,
          39.01947538346859,
          38.33969365593086,
          37.642113404065796,
          36.925966343540566,
          36.190414299306575,
          35.43453976177038,
          34.657334705705296,
          33.8576872606373,
          33.034365700381834,
          32.18599905507584,
          31.311053422952998,
          30.407802743447988,
          29.47429234536437,
          28.508292937069143,
          27.50724175313682,
          26.468166137917443,
          25.508757368211185,
          24.509557514499125,
          23.64664835825828,
          22.748127135788035,
          21.971026021386447,
          21.163792867874175,
          20.464950763106906,
          19.740526330071013,
          19.11219778541837,
          18.462300505668342,
          17.897543656992006,
          17.314672775974664,
          16.808592535333375,
          16.287342522285638,
          15.836063869538112,
          15.372184568298668,
          14.973212763901861,
          14.563922039083236,
          14.216949609633817,
          13.861742156734694,
          13.571279774773862,
          13.311953550681629,
          13.094903859335433,
          12.874402654009916,
          12.65108184542177,
          12.400342272363055,
          12.13059316111417,
          11.84793748061603,
          11.556521940682726,
          11.259370698807567,
          10.956476806335765,
          10.647475022031239,
          10.331957294528323,
          10.009465262027797,
          9.71988783044366,
          9.424128586758448,
          9.121741053311666,
          8.844875900228867,
          8.561877380107154,
          8.272279375275462,
          8.011279577194118,
          7.744266525180335,
          7.470833699861161,
          7.2273073081284975,
          6.977952434887708,
          6.722454071405159,
          6.496960173774532,
          6.265896128984568,
          6.029022702001499,
          5.821433013213893,
          5.608576635914547,
          5.3902744586332245,
          5.2000150205421525,
          5.004815987803056,
          4.825236008739706,
          4.641038661779144,
          4.4718315358336405,
          4.298225884927592,
          4.138946182317604,
          3.975483023457539,
          3.8256655971901545,
          3.6718743391529656,
          3.531043987392522,
          3.3864427912145203,
          3.254121786679201,
          3.118225444525986,
          2.9939392908813716,
          2.8662652639707673,
          2.749546997858196,
          2.62961994442221,
          2.520013230333854,
          2.4073682806914727,
          2.304429485371098,
          2.1986144589700087,
          2.1019138376778788,
          2.0024905406541986,
          1.91161261399653,
          1.8181573008483682,
          1.7327004420647372,
          1.6448034641741993,
          1.564378643029795,
          1.4816432312487735,
          1.4058717564014338,
          1.3279117775686815,
          1.2564217149679986,
          1.1828580730717286,
          1.1152787376353026,
          1.0457338005670678,
          0.9816872132028208,
          0.9157761207362799,
          0.8548634091425056,
          0.7921801567987066,
          0.7276440198391098,
          0.6706987364572642,
          0.6120834092205675,
          0.5517499608890315,
          0.49739073701074926,
          0.44145993211511136,
          0.38393802102358493,
          0.3326335504937915,
          0.27976283040142247,
          0.23568838045319151,
          0.19517583266539396,
          0.15803423465804947,
          0.12025042264131056,
          0.08899127470272557,
          0.057310452269259925,
          0.030398116418599543,
          0.00331096078504182,
          -0.02020374406054123,
          -0.04373206391442993,
          -0.06457609452942352,
          -0.08532097454329282,
          -0.10587731940525748,
          -0.12376714192977835,
          -0.14143825083716793,
          -0.15882468355515397,
          -0.17587737109271098,
          -0.19254605756251436,
          -0.2089336644915923,
          -0.22497579216235164,
          -0.2372035312363327,
          -0.24748357405758026,
          -0.25621113373140836,
          -0.26337247495590177,
          -0.27037505083924,
          -0.27720817931703035,
          -0.28443132665900056,
          -0.2920161412028373,
          -0.29972803589138924,
          -0.3072597531453932,
          -0.31450000335964123,
          -0.3215025658775452,
          -0.3292711209621939,
          -0.33765382091450147,
          -0.34690419501940456,
          -0.3559624931407955,
          -0.36421409375209696,
          -0.37168395403052606,
          -0.3784012489458442,
          -0.38439822904466997,
          -0.38970918326889775,
          -0.39436953447074474,
          -0.39856789565785244,
          -0.40230150666274217,
          -0.40554469167447676,
          -0.40825882310339423,
          -0.41039164878575324,
          -0.4118774125897833,
          -0.412636571185052,
          -0.4125763507011315,
          -0.411592671675835,
          -0.409573587711276,
          -0.406403602722044,
          -0.4019677108469522,
          -0.3961547152245482,
          -0.38886118099721945,
          -0.3799982538666553,
          -0.36950065890310035,
          -0.3573326940910558,
          -0.3434894015223796,
          -0.32798508275441196,
          -0.3108376344112879,
          -0.2920564136502393,
          -0.27163674194626897,
          -0.24955936451642957,
          -0.22579214755449528,
          -0.20029223856826736,
          -0.17300794122350785,
          -0.1438801255224699,
          -0.1128432152563721,
          -0.07982584873032408,
          -0.04475130240318541,
          -0.0075377462709958635,
          0.031901620120399744,
          0.07365851732655808,
          0.11782959843499469,
          0.16451650867826229,
          0.21382598160678898,
          0.2658699645151383,
          0.32076576809205093,
          0.3786362367760256,
          0.4396099374026863,
          0.5038213644541369,
          0.5714111607797756,
          0.6425263529955677,
          0.7173206011218568,
          0.795954462150622,
          0.8785956674741492,
          0.965419414145748,
          1.0566086701243707,
          1.1523544936641101,
          1.2528563670743107,
          1.3583225451982772,
          1.4689704188692736,
          1.5850268937980052,
          1.7067287851880355,
          1.8343232285657702,
          1.9680681072203023,
          2.1082324966826262,
          2.2550971267213558,
          2.408954861251744,
          2.5701111967113914,
          2.7388847791706508,
          2.9156079407944837,
          3.100627255937682,
          3.2943041172802805,
          3.4970153324358937,
          3.7091537412411415,
          3.9311288540647897,
          4.1633675112941,
          4.40631456417508,
          4.66043357705431,
          4.926207550915526,
          5.2041396680987795,
          5.494754057862104,
          5.798596582293763,
          6.116235641960426,
          6.4482630003142525,
          6.795294625801207,
          7.1579715501083445,
          7.53696074084877,
          7.932955986369006,
          8.346678790124262,
          8.778879271164469,
          9.230337067119697,
          9.70186223487204,
          10.194296143566149,
          10.70851235330558,
          11.245417472105125,
          11.805951981959796,
          12.39109102347441,
          13.001845126559736,
          13.639260872639436,
          14.304421471101548,
          14.99844722969429,
          15.7224958952987,
          16.477762837083056,
          17.265481038588046,
          18.086920860662854,
          18.943389528280413,
          19.83623028751197,
          20.766821167423522,
          21.736573270250126,
          22.74692849767645,
          23.799356603481797,
          24.84502818174546,
          25.861120708836378,
          26.84955266304983,
          27.812009976613965,
          28.749984735239558,
          29.6648058450389,
          30.557663632683465,
          31.429629797038668,
          32.281673752361755,
          33.114676137241645,
          33.929440073341986,
          34.726700620030854,
          35.5071327694599,
          36.27135825099393,
          37.01995135687521,
          37.75344395755177,
          38.47232984165319,
          39.177068489640796,
          39.86808836980028,
          40.54578982918936,
          41.21054763936524,
          41.862713246474115,
          42.502616767026055,
          43.13056876397426,
          43.74686183223611,
          44.351772018312325,
          44.94556009493395,
          45.528472708609584,
          46.1007434153651,
          46.66259361783092,
          47.21423341502258,
          47.75586237464413,
          48.287670236441706,
          48.809837554047164,
          49.32253628180867,
          49.82593031230083,
          50.320175969524406,
          50.80542246220296,
          51.281812301068314,
          51.749481683593515,
          52.20856084922714,
          52.65917440785628,
          53.101441643926286,
          53.53547679838696,
          53.96138933040457,
          54.379284160583126,
          54.789261897259394,
          55.19141904728059,
          55.58584821253155,
          55.97263827336274,
          56.35187455995384,
          56.72363901255332,
          57.08801033144834,
          57.44506411743922,
          57.79487300352314,
          58.13750677843224,
          58.473032502609286,
          58.801514617160635,
          59.1230150462729,
          59.43759329354399,
          59.74530653263963,
          60.0462096926538,
          60.34035553851662,
          60.627794746774406,
          60.90857597702835,
          61.18274593930954,
          61.450349457634424,
          61.71142952997233,
          61.96602738484036,
          62.2141825347157,
          62.45593282645619,
          62.69131448888657,
          62.92036217771694,
          63.143109017927145,
          63.359586643759165,
          63.569825236436486,
          63.77385355972727,
          63.971698993454204,
          64.16338756505783,
          64.34894397929462,
          64.52839164616223,
          64.70175270712875,
          64.86904805973516,
          65.03029738064579,
          65.18551914720167,
          65.33473065753901,
          65.47794804932556,
          65.61518631716386,
          65.7464593287037,
          65.8717798395118,
          65.99115950672993,
          66.10460890155969,
          66.21213752060484,
          66.3137537961013,
          66.4094651050561,
          66.49927777732333,
          66.58319710263297,
          66.66122733659384,
          66.73337170568263,
          66.79963241123387,
          66.86001063243985,
          66.91450652836973,
          66.96311923901199,
          67.00584688534612,
          67.04268656843954,
          67.07363436757747,
          67.09868533741333,
          67.11783350413896,
          67.13107186066779,
          67.13839236081677,
          67.13978591247911,
          67.13524236976804,
          67.1247505241221,
          67.10829809434134,
          67.08587171554231,
          67.05745692700074,
          67.0230381588556,
          66.98259871764549,
          66.93612077063769,
          66.883585328923,
          66.82497222922446,
          66.76026011438378,
          66.689426412475,
          66.61244731449415,
          66.52929775056754,
          66.43995136462145,
          66.34438048744326,
          66.24255610806948,
          66.13444784342013,
          66.0200239060987,
          65.89925107027304,
          65.77209463553964,
          65.638518388669,
          65.49848456312593,
          65.3519537962444,
          65.19888508392889,
          65.03923573274989,
          64.87296130928135,
          64.70001558652487,
          64.52035048724882,
          64.33391602405663,
          64.14066023598643,
          63.94052912142404,
          63.73346656710389,
          63.519414272934945,
          63.29831167239195,
          63.0700958481649,
          62.83470144275862,
          62.592060563684576,
          62.34210268287549,
          62.08475452990916,
          61.81993997859631,
          61.547579926446495,
          61.267592166480306,
          60.97989125081174,
          60.68438834536308,
          60.380991075025854,
          60.06960335850104,
          59.75012523198889,
          59.42245266081428,
          59.086477337975765,
          58.74208646850868,
          58.389162538437034,
          58.02758306695981,
          57.657220340369534,
          57.277941126038485,
          56.88960636462813,
          56.49207083845999,
          56.08518281375679,
          55.668783654192424,
          55.24270740288268,
          54.8067803296004,
          54.360820439600325,
          53.904636939985146,
          53.43802965901361,
          52.96078841314794,
          52.472692315943604,
          51.97350902206535,
          51.46299389877574,
          50.940889116139914,
          50.40692264590352,
          49.86080715749178,
          49.302238797787446,
          48.730895839244795,
          48.146437178385014,
          47.54850066373528,
          46.93670122868732,
          46.31062880044426,
          45.669845951010004,
          45.013885249837436,
          44.34224627000608,
          43.654392190274784,
          42.94974592358047,
          42.22768568789826,
          41.487539917010864,
          40.72858138555909,
          39.950020393260914,
          39.15099681538907,
          38.33057077768313,
          37.48771165000916,
          36.62128496880702,
          35.73003678597246,
          34.81257479008694,
          33.867345338444196,
          32.89260525058613,
          32.07413475534832,
          31.22798565428841,
          30.519289885365513,
          29.865764961128807,
          29.276961938437488,
          28.76906230637607,
          28.312153145046455,
          27.84821664121741,
          27.319622798399735,
          26.741742308985337,
          26.13040359067366,
          25.496072651488795,
          24.84623581393253,
          24.181312559592183,
          23.500376123277587,
          22.80238926779842,
          22.086184398502912,
          21.44693895260936,
          20.79190631524495,
          20.119974274859754,
          19.50748308039449,
          18.879555778944432,
          18.235126436139176,
          17.657554952432882,
          17.065036954960142,
          16.45678339962519,
          15.91848659165802,
          15.365987992118914,
          14.798733429631529,
          14.30147344684561,
          13.790905869224733,
          13.320079509353903,
          12.836835836899153,
          12.392359740676708,
          11.936116330624968,
          11.517400437569936,
          11.08756297273075,
          10.693833772472763,
          10.289616427065162,
          9.919968408202015,
          9.540447610584447,
          9.193884368811743,
          8.83804163066212,
          8.513508579363615,
          8.180264542588166,
          7.876674833720768,
          7.564916222600766,
          7.281171155588858,
          6.989771976635022,
          6.724776923364999,
          6.452614991926968,
          6.205291671645074,
          5.951261339318401,
          5.720557123165463,
          5.483578918359945,
          5.268473719889848,
          5.04750148294736,
          4.847012690387166,
          4.641038679296484,
          4.454224503080076,
          4.262282859207979,
          4.088244400272407,
          3.909413292182608,
          3.7472955800017886,
          3.58069828428265,
          3.4296904859883366,
          3.2744956142223987,
          3.133830575683146,
          2.9892516146328645,
          2.858204859094974,
          2.72349915457999,
          2.60138743297502,
          2.47585471510358,
          2.3620341723054397,
          2.2450146893064002,
          2.1388786806697544,
          2.029750977635678,
          1.9307275371212438,
          1.8289058822576914,
          1.736454803077313,
          1.6413862229165825,
          1.5549956572256773,
          1.4661564869371624,
          1.3853388916425409,
          1.302230665412057,
          1.2265177978895065,
          1.1486621784187445,
          1.077598652208293,
          1.0045308982984613,
          0.9376655225778411,
          0.8689256939619643,
          0.8057995487094126,
          0.740920343009141,
          0.6810512995315836,
          0.6195421032386137,
          0.5563520471027038,
          0.5005365501858008,
          0.443191569885848,
          0.3843555651113957,
          0.3322642623063376,
          0.27873236608345936,
          0.23207931592993228,
          0.18420787176309406,
          0.14528090952802905,
          0.1055187721415643,
          0.07304870642947348,
          0.04015187546768095,
          0.012690896737854583,
          -0.0149287779573885,
          -0.038488641690113,
          -0.06203625658828263,
          -0.08255385592955203,
          -0.10294478690058946,
          -0.12310552374996928,
          -0.14023176212683686,
          -0.15712109442008165,
          -0.1736975806202438,
          -0.1899104667696534,
          -0.2057072415852605,
          -0.22103456022390958,
          -0.23611737782788314,
          -0.24889311522385818,
          -0.2593048935528307,
          -0.26820622536586697,
          -0.27590005672788454,
          -0.2824543658905712,
          -0.2876179556804464,
          -0.29264967546127546,
          -0.29809101714052855,
          -0.303942325708821,
          -0.3095779364792252,
          -0.31527877732734094,
          -0.3214102655955967,
          -0.3277736815478749,
          -0.33433206285827133,
          -0.34114418920428285,
          -0.3484430766719286,
          -0.3552384726614776,
          -0.3612227676514552,
          -0.36642370871631086,
          -0.3708731151310087,
          -0.37460572650352,
          -0.37765815434914124,
          -0.3800703848359174,
          -0.38194059730341223,
          -0.38324017897608975,
          -0.3839285151073139,
          -0.3839518054245699,
          -0.38324300937612316,
          -0.38172114719739686,
          -0.3792905577994938,
          -0.375840402273983,
          -0.3712447410658218,
          -0.3653636133547116,
          -0.35804589356577504,
          -0.34913567909247467,
          -0.33848568480016733,
          -0.3259814309296599,
          -0.3115720991982736,
          -0.2952850647799671,
          -0.2771976833925753,
          -0.25739647826835793,
          -0.23594350077997556,
          -0.21286759821190832,
          -0.1881689440515624,
          -0.16182650114031882,
          -0.13380420563403625,
          -0.10405519659166984,
          -0.07252449928688562,
          -0.03915067600634128,
          -0.0038668268259521967,
          0.03339881292246273,
          0.07272252717042062,
          0.11418493403909315,
          0.15787090554858688,
          0.20386955790993486,
          0.2522742910531107,
          0.3031828638316707,
          0.35669749612130924,
          0.412924992062223,
          0.47197688059656184,
          0.533969570744299,
          0.5990245198331897,
          0.6672684135222693,
          0.7388333567979075,
          0.8138570754264611,
          0.892483127523642,
          0.9748611250426116,
          1.0611469650852736,
          1.1515030710360417,
          1.2460986435500754,
          1.3451099214508815,
          1.4487204527199642,
          1.5571213756308468,
          1.6705117102488785,
          1.7890986604264174,
          1.9130979264678893,
          2.0427340286421183,
          2.1782406416997913,
          2.319860940540234,
          2.467847957207357,
          2.622464949284199,
          2.783985779832339,
          2.9526953089787766,
          3.12888979709724,
          3.3128773196768107,
          3.5049781938155133,
          3.7055254162136038,
          3.9148651125390974,
          4.133356997941885,
          4.361374848383116,
          4.599306982356018,
          4.847556752578417,
          5.106543046918661,
          5.376700797857537,
          5.658481499487716,
          5.952353731028478,
          6.258803685494114,
          6.5783357019345425,
          6.9114727995321,
          7.258757211401044,
          7.620750915636817,
          7.998036160821303,
          8.39121598268973,
          8.800914708290396,
          9.227778443108134,
          9.67247553652375,
          10.135697019637346,
          10.618157009026673,
          11.120593068979055,
          11.64376652370216,
          12.188462709574521,
          12.75549115637382,
          13.345685684513047,
          13.959904403593429,
          14.599029595420708,
          15.26396746197582,
          15.955647716261181,
          16.675022990189944,
          17.423068029985792,
          18.200778645168207,
          19.00917037171399,
          19.84927680357232,
          20.722147539915188,
          21.62884568604755,
          22.570444837017018,
          23.548025458604407,
          24.56267056843671,
          25.61546060014711,
          26.70746731394127,
          27.82165531833506,
          28.90405719119393,
          29.956713240146108,
          30.981419537073222,
          31.979768038934502,
          32.95317848810898,
          33.9029240786311,
          34.83015232818875,
          35.735902216350624,
          36.62111838140761,
          37.48666297570556,
          38.33332563907976,
          39.16183194641806,
          39.97285060794271,
          40.76699964225384,
          41.54485169743394,
          42.3069386610072,
          43.05375567267041,
          43.78576463261929,
          44.50339728160253,
          45.20705791552467,
          45.89712578674369,
          46.57395723557412,
          47.237887588495575,
          47.889232853826535,
          48.5282912409138,
          49.155344524985836,
          49.770659276584844,
          50.37448797179319,
          50.96706999720501,
          51.54863256169246,
          52.11939152540191,
          52.6795521550583,
          53.2293098134864,
          53.768850590267796,
          54.298351879603864,
          54.8179829107164,
          55.3279052354955,
          55.828273177547786,
          56.31923424633192,
          56.8009295196516,
          57.27349399741742,
          57.73705692927609,
          58.1917421184249,
          58.63766820369172,
          59.07494892174542,
          59.503693351112474,
          59.924006139506936,
          60.335987715837994,
          60.73973448812396,
          61.135339028426216,
          61.52289024580892,
          61.9024735482463,
          62.274170994303304,
          62.63806143535018,
          62.99422064900394,
          63.34272146442151,
          63.6836338800256,
          64.01702517418563,
          64.34296000934171,
          64.66150053000833,
          64.97270645506816,
          65.27663516472914,
          65.57334178248385,
          65.86287925239293,
          66.14529841198055,
          66.42064806100979,
          66.68897502638967,
          66.95032422343922,
          67.20473871372162,
          67.45225975964323,
          67.6929268760024,
          67.92677787864947,
          68.15384893042012,
          68.37417458448058,
          68.58778782522243,
          68.79472010682912,
          68.99500138962746,
          69.1886601743349,
          69.37572353429604,
          69.5562171458051,
          69.73016531659628,
          69.89759101258227,
          70.05851588291225,
          70.21296028341749,
          70.36094329850974,
          70.50248276158571,
          70.63759527399495,
          70.76629622261439,
          70.88859979608303,
          71.00451899972936,
          71.11406566923448,
          71.21725048306422,
          71.31408297369849,
          71.40457153768948,
          71.48872344457114,
          71.56654484464289,
          71.6380407756457,
          71.70321516834959,
          71.76207085106235,
          71.81460955307485,
          71.86083190704875,
          71.90073745035643,
          71.93432462537199,
          71.9615907787206,
          71.98253215948138,
          71.99714391634122,
          72.00542009369536,
          72.00735362668438,
          72.00293633515957,
          71.99215891656115,
          71.97501093769478,
          71.95148082538802,
          71.92155585600565,
          71.88522214379948,
          71.84246462806733,
          71.79326705908879,
          71.73761198280866,
          71.67548072422753,
          71.60685336946395,
          71.53170874644167,
          71.45002440415635,
          71.36177659047227,
          71.26694022838927,
          71.1654888907246,
          71.05739477314164,
          70.94262866545819,
          70.82115992115678,
          70.69295642501622,
          70.55798455877878,
          70.41620916475642,
          70.26759350727487,
          70.11209923184835,
          69.94968632196573,
          69.780313053361,
          69.60393594563357,
          69.42050971107014,
          69.22998720051086,
          69.03231934608752,
          68.82745510065338,
          68.61534137370076,
          68.39592296355879,
          68.16914248563334,
          67.93494029644305,
          67.6932544131796,
          67.44402042849791,
          67.1871714202201,
          66.92263785560866,
          66.65034748983211,
          66.3702252582219,
          66.08219316187221,
          65.78617014610752,
          65.4820719712877,
          65.16981107538489,
          64.8492964276999,
          64.52043337304066,
          64.18312346560971,
          63.83726429178348,
          63.48274928087969,
          63.11946750292278,
          62.747303452319336,
          62.366136816237905,
          61.975842226368684,
          61.57628899259312,
          61.16734081693802,
          60.74885548601157,
          60.32068453991514,
          59.882672915396604,
          59.43465856075888,
          58.976472019736825,
          58.50793598122656,
          58.028864791371625,
          57.53906392406813,
          57.03832940545741,
          56.526447187398226,
          56.00319246424231,
          55.46832892647615,
          54.92160794389541,
          54.36276766994501,
          53.791532057646,
          53.207609776114424,
          52.61069301500295,
          52.000456162239715,
          51.37655433809537,
          50.738621765845004,
          50.08626995597741,
          49.41908567692626,
          48.73662868051398,
          48.038429144491026,
          47.323984787487994,
          46.592757603045506,
          45.844170148734484,
          45.07760131316863,
          44.29238146725261,
          43.48778688532136,
          42.663033295665755,
          41.81726838657611,
          40.949563051130795,
          40.058901098291635,
          39.1441670849319,
          38.20413182685749,
          37.23743501759034,
          36.242564208430444,
          35.21782916257803,
          34.16133026058033,
          33.07091915920884,
          31.944149221029633,
          30.778212225444175,
          29.698331078740587,
          28.579419173868192,
          27.56234981430052,
          26.50928036113009,
          25.55362685816499,
          24.56505738912683,
          23.66918911513926,
          22.743210341143218,
          21.905057993842675,
          21.039347052615376,
          20.256538804845682,
          19.448493587326393,
          18.71846180902832,
          17.96530592668768,
          17.285370484653633,
          16.584234743141703,
          15.951667486051157,
          15.299652579088844,
          14.711726744699483,
          14.105950963235923,
          13.559978530951309,
          12.997613539828563,
          12.490972971127288,
          11.969270106014056,
          11.49942644348585,
          11.015735500419659,
          10.580254414402127,
          10.132036514881035,
          9.728593577619215,
          9.313429380959345,
          8.939815598744516,
          8.555409882593452,
          8.209534314185543,
          7.853717740952529,
          7.533607867508913,
          7.2043365923221065,
          6.908136972042459,
          6.603490615822607,
          6.329460249531572,
          6.047638655021788,
          5.794147402395927,
          5.533466504825733,
          5.298990820587744,
          5.057877895399474,
          4.840996097853145,
          4.617984591484685,
          4.417371829022391,
          4.211095932906798,
          4.025518976125112,
          3.8347080664765287,
          3.663020021949314,
          3.486493057176791,
          3.3276280726269074,
          3.1642880141142515,
          3.0172560221252223,
          2.866084322239146,
          2.729965849640933,
          2.590017031118525,
          2.4639580823420086,
          2.3343544146467217,
          2.217561418308193,
          2.0974876780211305,
          1.989222464795809,
          1.877920746056054,
          1.7774955002610215,
          1.6742600160086865,
          1.5810321099826075,
          1.4852038913578702,
          1.398570467011808,
          1.3095318238154603,
          1.2289239293698717,
          1.1460924772664245,
          1.070968514859342,
          0.9937905207471702,
          0.923628803784828,
          0.8515716386009402,
          0.7858624060985246,
          0.7184064302662889,
          0.6566465209592819,
          0.5932795640115245,
          0.5349863054679643,
          0.4752172924707699,
          0.41399845506150135,
          0.3606226656633623,
          0.3058732622706886,
          0.2565463049686646,
          0.20607002633360297,
          0.16311318399819089,
          0.11925316718884704,
          0.08326488435246672,
          0.0467427716027549,
          0.016736332406539958,
          -0.013494352372573896,
          -0.038686030168220746,
          -0.06389502120691501,
          -0.08530846186612523,
          -0.1066041625454933,
          -0.12509180581697985,
          -0.14337089227432948,
          -0.1613429920938469,
          -0.17662580454432986,
          -0.1916078338020727,
          -0.206219794568996,
          -0.22041291260727444,
          -0.23413723422735921,
          -0.24734253459894953,
          -0.2611801178132771,
          -0.27127257208192745,
          -0.27975004711770207,
          -0.2870717270577971,
          -0.29408526263797763,
          -0.29948828261920507,
          -0.30390149310025855,
          -0.3081582862289123,
          -0.3122559746463493,
          -0.3167462900446356,
          -0.32147045271565705,
          -0.32631761821743094,
          -0.33122689198541594,
          -0.3361707562203732,
          -0.34115854343981816,
          -0.34627662845080254,
          -0.3511267233814346,
          -0.3551128448196968,
          -0.3582667853512127,
          -0.36062503762067116,
          -0.36222744152143693,
          -0.363115940821972,
          -0.36333349240943824,
          -0.36291310605389937,
          -0.3618280128645016,
          -0.360025718904009,
          -0.3574410638380577,
          -0.353995600636878,
          -0.3495963826271123,
          -0.3441343304418448,
          -0.33748216856135277,
          -0.32949196668939346,
          -0.31999263255065746,
          -0.30878889501860685,
          -0.2956668921208565,
          -0.28041970707395647,
          -0.2629142797817298,
          -0.2431884811398988,
          -0.221460678728286,
          -0.19797612491371627,
          -0.172889377199059,
          -0.14626171805406724,
          -0.11809689860738372,
          -0.08836821256908087,
          -0.057032714175932496,
          -0.024038055273322718,
          0.010674257913234996,
          0.04716729410241865,
          0.08550793436083441,
          0.1257665105688568,
          0.1680166514159064,
          0.21233524071082122,
          0.25880243948172904,
          0.30750174624503446,
          0.35852008144709,
          0.4119478882383529,
          0.46787924499039746,
          0.5264119868906314,
          0.5876478349394014,
          0.6516925313242653,
          0.7186559805508735,
          0.7886523958870141,
          0.8618004508391144,
          0.938223435512229,
          1.018049417689712,
          1.10141140857405,
          1.1884475330734627,
          1.2793012046506058,
          1.3741213045852922,
          1.473062365648643,
          1.5762847601092305,
          1.683954891963457,
          1.7962453932897926,
          1.9133353246503826,
          2.0354103792795954,
          2.1626630910037763,
          2.295293045579618,
          2.433507095238222,
          2.577519576093453,
          2.727552528122811,
          2.883835917246118,
          3.0466078591069703,
          3.2161148439420875,
          3.392611961967009,
          3.5763631286163395,
          3.7676413087634786,
          3.9667287391133224,
          4.173917147751072,
          4.389507969644034,
          4.613812556958023,
          4.847152382697393,
          5.08985923608284,
          5.3422754079556976,
          5.604753864196411,
          5.877658405011899,
          6.161363807622541,
          6.45625594967095,
          6.762731910367486,
          7.081200045967481,
          7.412080036038328,
          7.755802896245523,
          8.112810953303219,
          8.483557776978053,
          8.868508063579545,
          9.26813746492591,
          9.68293235591833,
          10.1133895331838,
          10.560015836648521,
          11.023327684692925,
          11.503850512928112,
          12.002118105418988,
          12.518671805780848,
          13.054059594866873,
          13.608835019539997,
          14.183555956349368,
          14.778783191271934,
          15.395078795431225,
          16.0330042743059,
          16.6931184654024,
          17.37597515713517,
          18.08212039833771,
          18.812089464879726,
          19.566403446017134,
          20.34556540935041,
          21.150056098305825,
          21.980329111757168,
          22.836805508856326,
          23.719867776327675,
          24.62985308810836,
          25.567045778571647,
          26.53166894128151,
          27.52387505367141,
          28.543735515430757,
          29.591228971759868,
          30.66622827363544,
          31.7684859043572,
          32.8646544387886,
          33.93164531762904,
          34.97108911046205,
          35.984443363258286,
          36.9730178887129,
          37.93799542181565,
          38.88044864693919,
          39.80135435290801,
          40.70160529188609,
          41.58202018550245,
          42.443352223277195,
          43.28629632450752,
          44.111495378617235,
          44.919545635883566,
          45.711001387068215,
          46.48637904439101,
          47.24616071572958,
          47.99079734760814,
          48.7207114994894,
          49.43629980137935,
          50.13793513824255,
          50.825968597790954,
          51.50073121252414,
          52.16253552221526,
          52.81167697915546,
          53.44843521524592,
          54.073075187323845,
          54.68584821484589,
          55.28699292214055,
          55.87673609582646,
          56.455293466618286,
          57.02287042357094,
          57.57966266781132,
          58.125856811948346,
          58.66163093060578,
          59.187155066890185,
          59.70259169904599,
          60.20809617107083,
          60.70381709064365,
          61.18989669735399,
          61.66647120389753,
          62.13367111262369,
          62.59162150957141,
          63.04044233791361,
          63.48024865253459,
          63.91115085729699,
          64.33325492640299,
          64.74666261111685,
          65.15147163300027,
          65.5477758646998,
          65.93566549923821,
          66.31522720866349,
          66.6865442928466,
          67.0496968191379,
          67.40476175353727,
          67.75181308397508,
          68.09092193625068,
          68.42215668312537,
          68.74558304703503,
          69.06126419683868,
          69.36926083899552,
          69.6696313035221,
          69.96243162506246,
          70.24771561937273,
          70.5255349554974,
          70.7959392238996,
          71.05897600078043,
          71.31469090880813,
          71.56312767446231,
          71.80432818218122,
          72.0383325254866,
          72.26517905524899,
          72.4849044252441,
          72.69754363513641,
          72.90313007102442,
          73.10169554366166,
          73.2932703244703,
          73.47788317944558,
          73.65556140105019,
          73.82633083818578,
          73.99021592432324,
          74.14723970387075,
          74.29742385684669,
          74.44078872192469,
          74.57735331791022,
          74.70713536370603,
          74.83015129681333,
          74.94641629042151,
          75.05594426912484,
          75.15874792330706,
          75.25483872222891,
          75.34422692585252,
          75.42692159542992,
          75.50293060288129,
          75.5722606389885,
          75.6349172204203,
          75.69090469560814,
          75.74022624948796,
          75.78288390711757,
          75.81887853617971,
          75.84820984837768,
          75.87087639972611,
          75.88687558973915,
          75.89620365951455,
          75.8988556887106,
          75.8948255914086,
          75.88410611085224,
          75.8666888130526,
          75.84256407924505,
          75.81172109717917,
          75.77414785122564,
          75.7298311112729,
          75.67875642039219,
          75.62090808123948,
          75.55626914116411,
          75.4848213759891,
          75.40654527242161,
          75.32142000905537,
          75.22942343591528,
          75.13053205249638,
          75.02472098424106,
          74.91196395739564,
          74.79223327218332,
          74.66549977422147,
          74.53173282411298,
          74.39090026512712,
          74.2429683888843,
          74.08790189895295,
          73.9256638722556,
          73.75621571817611,
          73.5795171352524,
          73.39552606532632,
          73.20419864501999,
          73.00548915438681,
          72.79934996258436,
          72.5857314703973,
          72.36458204942956,
          72.1358479777675,
          71.89947337190048,
          71.65540011467117,
          71.40356777900591,
          71.1439135471564,
          70.87637212516358,
          70.60087565222655,
          70.31735360463807,
          70.02573269391351,
          69.72593675871276,
          69.41788665011909,
          69.10150010979575,
          68.77669164050663,
          68.44337236843229,
          68.10144989666742,
          67.75082814922429,
          67.3914072048055,
          67.023083119537,
          66.64574773777699,
          66.25928849002453,
          65.86358817685955,
          65.4585247377327,
          65.04397100330387,
          64.61979442989265,
          64.18585681444726,
          63.74201398827022,
          63.288115487540736,
          62.82400419845494,
          62.34951597455883,
          61.86447922355988,
          61.36871446058935,
          60.86203382451402,
          60.344240553482244,
          59.81512841540555,
          59.274481088529114,
          58.72207148660645,
          58.15766102246282,
          57.58099880287934,
          56.99182074674857,
          56.389848617293275,
          55.774788957802855,
          55.146331918758364,
          54.5041499623596,
          53.84789642826774,
          53.17720394177105,
          52.491682642469435,
          51.790918207854084,
          51.07446964168235,
          50.34186679164344,
          49.59260755424373,
          48.82615471682827,
          48.041932376813676,
          47.23932186605665,
          46.41765709317924,
          45.57621919777199,
          44.714230386584084,
          43.83084679156357,
          42.92515015090076,
          41.9961380642273,
          41.042712507957866,
          40.06366621095206,
          39.05766637646287,
          38.023235082521666,
          36.95872548309455,
          35.86229264213584,
          34.73185742509436,
          33.565061290371965,
          32.359208976463755,
          31.111194823046,
          29.817406553513337,
          28.63842179483914,
          27.412992913802757,
          26.32126877387692,
          25.187533552949212,
          24.17732198508851,
          23.129615254036178,
          22.195919757489055,
          21.228657809612443,
          20.366519275706366,
          19.474251552402016,
          18.678830209416358,
          17.85630130802835,
          17.12293077474967,
          16.365120120849458,
          15.689342130054998,
          14.991487571530595,
          14.369072686637331,
          13.726682488414301,
          13.153640678385539,
          12.562497182696127,
          12.03508108569198,
          11.491238435624457,
          11.00594139835003,
          10.505719095845496,
          10.0592695353124,
          9.599243145578846,
          9.188596382835811,
          8.76558635904762,
          8.387914780417258,
          7.998974130501241,
          7.651656312186481,
          7.294057641417574,
          6.9746669084449975,
          6.645889229310443,
          6.3521819952212075,
          6.049897589078731,
          5.779801728260256,
          5.501863261799845,
          5.253466694489443,
          4.997894732277017,
          4.769434347393351,
          4.534405354560406,
          4.324256353287992,
          4.108091246289304,
          3.9147569570513996,
          3.7159102329567397,
          3.53801242310553,
          3.355061876035006,
          3.1913315655985133,
          3.022968582362797,
          2.872237349047579,
          2.717257762017227,
          2.5784495125648297,
          2.4357449757749756,
          2.3078681461024133,
          2.176417989675006,
          2.0585581233084027,
          1.937421629790738,
          1.8287342704881613,
          1.7170433043264675,
          1.6167471245162652,
          1.5136990329472926,
          1.4210691085104854,
          1.3259198023042513,
          1.2402809515108912,
          1.1523380823953426,
          1.0730582648727505,
          0.9916744958033588,
          0.9181585904132997,
          0.8427252784583431,
          0.7744107149624324,
          0.7043534835942256,
          0.640713229161443,
          0.5754949434877754,
          0.5160672377787331,
          0.4552178793535451,
          0.3997252696373906,
          0.34296195983210287,
          0.2916454673851995,
          0.23921267049990286,
          0.19313544202621422,
          0.14614047274947184,
          0.10630289175727742,
          0.06584351067768653,
          0.03221103901432191,
          -0.0017296077591018126,
          -0.029785239837927153,
          -0.05791174314714872,
          -0.08126733062948577,
          -0.10453245497841637,
          -0.12415067093442766,
          -0.14357044691962623,
          -0.16030639535234734,
          -0.17677063722397957,
          -0.19286593699517718,
          -0.20646599243840824,
          -0.21971711241719413,
          -0.23255267930301254,
          -0.24492471189942583,
          -0.25678426931161485,
          -0.2680823480431046,
          -0.2800507108549959,
          -0.2882446144352281,
          -0.2950691963264441,
          -0.30078474992243914,
          -0.30525422924994094,
          -0.3095202685258646,
          -0.31386719229192844,
          -0.31746796775960623,
          -0.32053913486127916,
          -0.3234519915571791,
          -0.32665631421531843,
          -0.33000039906244677,
          -0.3333665188060086,
          -0.3366795014534072,
          -0.3398863090054995,
          -0.3429523755625338,
          -0.34585551049352453,
          -0.34760449890558565,
          -0.34861317683859677,
          -0.34891292467611407,
          -0.34853802807935647,
          -0.34752470996214097,
          -0.34587453370250626,
          -0.3435493660151355,
          -0.3405050907350268,
          -0.33668606909085996,
          -0.33202507150448873,
          -0.3264424621542418,
          -0.3198447923239852,
          -0.31212272102709004,
          -0.3031480805445417,
          -0.29276980052004165,
          -0.28080840761446246,
          -0.26704932415790333,
          -0.25123764671510684,
          -0.23308622670806772,
          -0.21233523145705835,
          -0.1889289731687671,
          -0.16320935527999134,
          -0.1357041648554442,
          -0.10672781339863605,
          -0.07637157447859712,
          -0.04462341279350661,
          -0.01143513973751566,
          0.023253221665777264,
          0.05950560141167608,
          0.09738757553836437,
          0.13696585751262558,
          0.1783083567788107,
          0.2214843957028131,
          0.2665649511626664,
          0.31362288046727954,
          0.36273312303015437,
          0.4139728792307264,
          0.4674217705323351,
          0.5231619849467641,
          0.5812784112649066,
          0.6418587647296112,
          0.7049937061442729,
          0.77077695592299,
          0.8393054040767848,
          0.9106792169453045,
          0.985001941104589,
          1.0623806048579212,
          1.1429258173559806,
          1.2267518655077077,
          1.3139768085244055,
          1.4047225700068504,
          1.4991150273109066,
          1.597284097899759,
          1.6993638222437435,
          1.8054924428750603,
          1.9158124790064597,
          2.030470796064623,
          2.1496186694847914,
          2.2734118419221017,
          2.402010572987587,
          2.5355796804902213,
          2.6742885720677045,
          2.8183112659853564,
          2.967826399671131,
          3.1230172244873575,
          3.284071585058426,
          3.451181881235243,
          3.6245450107308486,
          3.8043622900038856,
          3.9908393510491473,
          4.184186011177657,
          4.384616112871883,
          4.592347330185179,
          4.807600938171673,
          5.030601541016931,
          5.261576754582639,
          5.50075683810457,
          5.74837426975423,
          6.0046632596747935,
          6.2698591939039074,
          6.544198001482473,
          6.827915436368566,
          7.121246264827975,
          7.4244233477599675,
          7.737676606257425,
          8.061231857184458,
          8.395309503997982,
          8.740123065891062,
          9.095877526317492,
          9.462767479024114,
          9.840975046641297,
          10.230667542986225,
          10.631994845843908,
          11.04508644075018,
          11.470048090078924,
          11.906958072220792,
          12.355862925511559,
          12.816772616616097,
          13.289655036005549,
          13.77442969852999,
          14.270960496343507,
          14.779047308989627,
          15.29841621721952,
          15.828707986908933,
          16.369464374178015,
          16.92011163741242,
          17.47994039456781,
          18.04808058776553,
          18.623469727587366,
          19.204811626643547,
          19.79052120632071,
          20.37864807069992,
          20.966766103099626,
          21.551805359933805,
          22.129778271679733,
          22.698257377260557,
          23.25766882945075,
          23.715519764046686,
          24.16759844532093,
          24.61409958357869,
          25.129105734631757,
          25.703575759574402,
          26.330613582002687,
          27.006716574561178,
          27.73008125679173,
          28.499913027033486,
          29.316071579299997,
          30.1788702009472,
          31.088952613588074,
          32.04721189482363,
          33.05473331625612,
          34.11275100180465,
          35.22261234141859,
          36.31950166674319,
          37.38790558504516,
          38.42931343739621,
          39.445065547167154,
          40.43637378088307,
          41.4043385444105,
          42.34996294808665,
          43.27416470143552,
          44.17778617074246,
          45.0616029377717,
          45.92633112626166,
          46.77263370821126,
          47.60112595991311,
          48.41238020501902,
          49.20692995631295,
          49.985273547640965,
          50.74787733135584,
          51.495178503727075,
          52.227587610369184,
          52.9454907752843,
          53.64925169022849,
          54.33921339543983,
          55.015699878097585,
          55.67901751100497,
          56.32945635075514,
          56.96729131193822,
          57.59278323167251,
          58.20617983682368,
          58.80771662465007,
          59.397617666228776,
          59.976096340836676,
          60.543356008447915,
          61.09959062664318,
          61.64498531747465,
          62.179716889183325,
          62.70395431710476,
          63.217859187611815,
          63.72158610851522,
          64.21528308897194,
          64.69909189162716,
          65.17314835942673,
          65.63758271928644,
          66.09251986458254,
          66.5380796182315,
          66.97437697795081,
          67.40152234514161,
          67.81962173869282,
          68.22877699488849,
          68.62908595448471,
          69.0206426379305,
          69.40353740961514,
          69.77785713194969,
          70.14368531001531,
          70.50110222745136,
          70.8501850741967,
          71.19100806664554,
          71.52364256073567,
          71.84815715843767,
          72.16461780808473,
          72.47308789893759,
          72.77362835035576,
          73.06629769591102,
          73.35115216275832,
          73.62824574654977,
          73.89763028215874,
          74.15935551046053,
          74.41346914139655,
          74.66001691353264,
          74.89904265030593,
          75.13058831314227,
          75.35469405161037,
          75.57139825076752,
          75.7807375758423,
          75.98274701438683,
          76.17745991602179,
          76.36490802989164,
          76.54512153993359,
          76.71812909806131,
          76.88395785535468,
          77.04263349134116,
          77.19418024144623,
          77.33862092268713,
          77.47597695767699,
          77.60626839700245,
          77.72951394003029,
          77.84573095419789,
          77.95493549283593,
          78.05714231156703,
          78.1523648833209,
          78.24061541200477,
          78.3219048448595,
          78.396242883534,
          78.46363799390407,
          78.52409741465806,
          78.57762716467221,
          78.62423204919105,
          78.66391566482926,
          78.69668040340713,
          78.72252745462727,
          78.74145680760199,
          78.75346725123211,
          78.75855637344145,
          78.75672055926347,
          78.74795498777762,
          78.73225362788827,
          78.70960923293593,
          78.68001333413082,
          78.64345623279235,
          78.59992699137707,
          78.54941342327498,
          78.49190208135083,
          78.42737824520287,
          78.35582590711056,
          78.27722775663584,
          78.19156516384442,
          78.09881816110341,
          77.99896542341351,
          77.89198424722647,
          77.77785052769555,
          77.65653873430206,
          77.52802188479635,
          77.39227151738567,
          77.24925766109847,
          77.0989488042445,
          76.94131186088957,
          76.77631213525237,
          76.60391328392616,
          76.42407727582032,
          76.23676434970848,
          76.04193296926078,
          75.83953977542997,
          75.62953953604807,
          75.41188509248232,
          75.18652730318587,
          74.95341498396652,
          74.71249484478047,
          74.46371142284784,
          74.20700701186469,
          73.94232158707295,
          73.66959272592656,
          73.38875552407464,
          73.09974250635544,
          72.8024835324719,
          72.49690569699146,
          72.18293322328182,
          71.86048735095962,
          71.52948621639632,
          71.18984472577887,
          70.84147442018411,
          70.48428333207167,
          70.11817583254911,
          69.74305246869982,
          69.3588097901998,
          68.96534016437161,
          68.56253157874495,
          68.15026743009818,
          67.72842629885317,
          67.29688170757998,
          66.85550186224113,
          66.4041493746574,
          65.9426809645174,
          65.47094713906841,
          64.98879184841987,
          64.4960521141571,
          63.99255762869923,
          63.47813032253258,
          62.95258389611021,
          62.41572331281825,
          61.86734424896105,
          61.30723249620697,
          60.73516331134787,
          60.15090070754551,
          59.55419668045503,
          58.94479036170506,
          58.322407091155874,
          57.68675739812381,
          57.03753588031223,
          56.37441996749377,
          55.69706855498468,
          55.00512048958145,
          54.298192887814324,
          53.575879263008424,
          52.837747433614496,
          52.08333718041589,
          51.312157614345544,
          50.52368420949896,
          49.71735544719022,
          48.89256900614389,
          48.04867742060871,
          47.184983111600204,
          46.30073267568558,
          45.395110289451935,
          44.46723005434437,
          43.516127063604834,
          42.540746917391616,
          41.53993333936654,
          40.51241345183362,
          39.4567801379399,
          38.37147074552519,
          37.25474114881239,
          36.1046338526359,
          34.91893835562442,
          33.695141315651924,
          32.430363074564134,
          31.12127562264759,
          29.763994819147687,
          28.51099290855849,
          27.20747994275732,
          26.056479919159667,
          24.85936495651206,
          23.801497892174975,
          22.70289989922368,
          21.731487209621992,
          20.72395928193146,
          19.832571484167325,
          18.90905514218645,
          18.091573861411398,
          17.24542808303225,
          16.4960784993319,
          15.721090067224617,
          15.034455404411009,
          14.324836749843083,
          13.69586051787395,
          13.04623923327176,
          12.470219201011224,
          11.875622140165559,
          11.348198831259829,
          10.804032851303695,
          10.32117453713896,
          9.823205332106822,
          9.381190921816765,
          8.92552096821296,
          8.520921788414624,
          8.103968118155542,
          7.733629283225096,
          7.352101578455833,
          7.01312344149056,
          6.664002786482153,
          6.35372280813378,
          6.034241317659973,
          5.750216578413032,
          5.457838037527666,
          5.197828537401543,
          4.930230126675879,
          4.692182956581329,
          4.447238091811415,
          4.229272517099818,
          4.0050348010642915,
          3.805428265793126,
          3.600116525842679,
          3.41729156278297,
          3.2292759320658795,
          3.061787946271006,
          2.889576934275247,
          2.7361028151519236,
          2.57833130473961,
          2.4376588118406657,
          2.293076913857711,
          2.1640947743447945,
          2.0315574664040024,
          1.9132461174903361,
          1.7917035915983859,
          1.6831265017354944,
          1.5716151480809881,
          1.471910664120522,
          1.3695446344067292,
          1.2779183515051655,
          1.1838816970959012,
          1.0995994981427197,
          1.013139031847379,
          0.9355213790315242,
          0.8559408494208554,
          0.784360173956269,
          0.7110176121120753,
          0.6449043343843583,
          0.5772181392235289,
          0.5160912981402399,
          0.4535711539634254,
          0.3971338658978603,
          0.33947724383817623,
          0.28782527824619325,
          0.2351305430839038,
          0.18886964283550822,
          0.14177066809488903,
          0.10141651674274313,
          0.06049583056686901,
          0.025900573195634446,
          -0.008967913045655316,
          -0.03822599175098573,
          -0.06752192864997676,
          -0.09186211550789122,
          -0.11608251367642944,
          -0.13617804716455845,
          -0.1560498966108664,
          -0.1727730101508269,
          -0.18920191176308046,
          -0.20334956234950108,
          -0.21715192598750077,
          -0.23052362023725056,
          -0.24189256765341263,
          -0.25285083840514117,
          -0.2633420860494644,
          -0.2733210797037344,
          -0.2827423113094053,
          -0.29219089010996957,
          -0.2993469965596689,
          -0.30484109751434413,
          -0.3090139577219268,
          -0.31293794212972836,
          -0.3169358593822928,
          -0.3207183050246603,
          -0.32416453307385895,
          -0.3267299466076363,
          -0.3286743115041035,
          -0.3304602046043482,
          -0.3323219939120221,
          -0.33421016039140794,
          -0.33599238779214585,
          -0.33756484521842633,
          -0.3388165655968401,
          -0.3395754081613208,
          -0.3395281650353132,
          -0.3386604282804417,
          -0.3370085234880909,
          -0.3346127863882525,
          -0.33151628197979083,
          -0.327763624638249,
          -0.32339994203553146,
          -0.3182678491568355,
          -0.31230592782137134,
          -0.305443855006093,
          -0.2975999972971535,
          -0.2886797957254875,
          -0.2785733947265183,
          -0.2671522725008821,
          -0.2542644484880096,
          -0.23972769158545779,
          -0.22332021029783103,
          -0.20476954103142012,
          -0.18374678015954182,
          -0.15989946075464573,
          -0.13302761448467243,
          -0.10346527383749135,
          -0.07203475331822096,
          -0.03929856020448842,
          -0.005392521135750272,
          0.029718836989424076,
          0.06611185804025994,
          0.10386687434279504,
          0.14306061325109293,
          0.18376580742824275,
          0.22605226483506852,
          0.2699880081511347,
          0.31564020215350497,
          0.3630758596414531,
          0.4123623712729044,
          0.46356790549817845,
          0.5167617144569708,
          0.5720143716421633,
          0.6293979595113921,
          0.6889862194718177,
          0.7508546730456067,
          0.8150807201935852,
          0.8817437190108832,
          0.9509250496545866,
          1.022708164457554,
          1.09717862546561,
          1.1744241301728573,
          1.254534525737528,
          1.3376018117267603,
          1.42372013112134,
          1.512985749098633,
          1.6054970188679873,
          1.7013543336438084,
          1.8006600636698864,
          1.9035184769670705,
          2.0100356423140435,
          2.120319312684392,
          2.2344787872452434,
          2.352624749655956,
          2.474869080161978,
          2.6013246387807225,
          2.7321050163179224,
          2.8673242498276683,
          3.0070964984772606,
          3.1515356754742263,
          3.300755031000038,
          3.4548666805559027,
          3.6139810724376655,
          3.7782063869872746,
          3.947647859613936,
          4.122407018038621,
          4.302580823150672,
          4.488260701001611,
          4.679531451629641,
          4.876470017874574,
          5.079144094584714,
          5.287610554838284,
          5.501913665510508,
          5.722083058609578,
          5.948131417991811,
          6.180051831376232,
          6.417814745965487,
          6.661364449728878,
          6.910614979154988,
          7.165445325166963,
          7.425693768260184,
          7.691151117019913,
          7.961552541271949,
          8.236567568977353,
          8.51578763022074,
          8.798710240946253,
          9.084718447467772,
          9.373053357013086,
          9.662776169786467,
          9.952713484872167,
          10.241374330706934,
          10.526815664261228,
          10.808379050335668,
          11.086239921863914,
          11.313449438448938,
          11.538320450736702,
          11.760932845840145,
          12.015444083012977,
          12.299830493645295,
          12.610674727520536,
          12.946324263348032,
          13.305987082982917,
          13.689390622436985,
          14.09660779594295,
          14.527960472214536,
          14.983962239450925,
          15.465282854285512,
          15.972725448743043,
          16.507211633255615,
          17.069771682161797,
          17.66153808708441,
          18.28374138268031,
          18.937707509468375,
          19.624979386111484,
          20.347631130303167,
          21.107277258302055,
          21.905652317909265,
          22.744584055208055,
          23.625992884511604,
          24.551889482262965,
          25.524371456258383,
          26.545618738523224,
          27.617887371329985,
          28.74350130742154,
          29.924841784590495,
          31.1643337500099,
          32.44666784522949,
          33.689445309366995,
          34.89538097924275,
          36.06684855174843,
          37.20593914034253,
          38.31450734260494,
          39.39420795125107,
          40.44652554854144,
          41.472798613611076,
          42.47423934670295,
          43.451950112461105,
          44.40693718698814,
          45.34012233444854,
          46.252352621329266,
          47.14440878828198,
          48.01701243265226,
          48.870832203638656,
          49.7064891724878,
          50.52456150929359,
          51.325588573728,
          52.110074507815966,
          52.87849140353783,
          53.63128210571514,
          54.36886270067429,
          55.09162473306894,
          55.79993718660696,
          56.49414825896706,
          57.174586956673664,
          57.84156453194511,
          58.49537578039735,
          59.13630021585702,
          59.76460313632516,
          60.38053659326248,
          60.98434027477842,
          61.57624231195432,
          62.156460016375895,
          62.72520055595705,
          63.28266157528625,
          63.82903176598848,
          64.36449139196144,
          64.88921277378809,
          65.40336073615043,
          65.90709302164586,
          66.40056067404271,
          66.88390839368758,
          67.35727486749478,
          67.82079307569865,
          68.27459057732852,
          68.71878977617204,
          69.15350816881946,
          69.57885857622698,
          69.9949493601023,
          70.40188462529278,
          70.79976440924625,
          71.18868485952076,
          71.56873840022803,
          71.94001388821957,
          72.30259675975357,
          72.65656916831588,
          73.0020101142125,
          73.33899556649821,
          73.66759857775976,
          73.98788939222922,
          74.29993554766402,
          74.6038019713967,
          74.89955107092383,
          75.18724281937561,
          75.46693483618103,
          75.73868246321804,
          76.00253883671871,
          76.25855495517634,
          76.50677974348416,
          76.7472601135181,
          76.98004102136123,
          77.2051655213509,
          77.42267481711818,
          77.63260830977697,
          77.83500364340742,
          78.0298967479686,
          78.21732187976654,
          78.39731165959286,
          78.56989710864217,
          78.73510768230899,
          78.89297130195581,
          79.04351438473942,
          79.18676187157466,
          79.32273725330963,
          79.45146259518054,
          79.57295855960933,
          79.68724442740252,
          79.7943381174038,
          79.89425620465089,
          79.98701393708075,
          80.07262525082439,
          80.1511027841286,
          80.2224578899387,
          80.2867006471718,
          80.34383987070855,
          80.39388312012626,
          80.43683670719494,
          80.4727057021534,
          80.50149393878071,
          80.52320401827468,
          80.53783731194669,
          80.54539396273974,
          80.54587288557273,
          80.53927176651244,
          80.52558706077177,
          80.50481398952921,
          80.47694653556309,
          80.4419774376904,
          80.39989818399746,
          80.35069900384741,
          80.29436885864546,
          80.230895431341,
          80.1602651146418,
          80.08246299791269,
          79.99747285272774,
          79.90527711704146,
          79.80585687794104,
          79.69919185293763,
          79.58526036975105,
          79.46403934453804,
          79.33550425850925,
          79.19962913287682,
          79.05638650206753,
          78.90574738513332,
          78.74768125528361,
          78.58215600745959,
          78.40913792386218,
          78.2285916373413,
          78.04048009254382,
          77.8447645047123,
          77.64140431601645,
          77.43035714929123,
          77.21157875904515,
          76.98502297959232,
          76.75064167014958,
          76.50838465672896,
          76.25819967064106,
          76.00003228341146,
          75.7338258378958,
          75.45952137536288,
          75.17705755829543,
          74.88637058863893,
          74.58739412120599,
          74.28005917191992,
          73.96429402055416,
          73.64002410759606,
          73.30717192483039,
          72.96565689920386,
          72.6153952694932,
          72.25629995525637,
          71.88828041750057,
          71.51124251044777,
          71.12508832372276,
          70.72971601422358,
          70.3250196268654,
          69.91088890330974,
          69.48720907770438,
          69.05386065836188,
          68.61071919419696,
          68.15765502462071,
          67.69453301145526,
          67.22121225127837,
          66.73754576643724,
          66.24338017277657,
          65.73855532190824,
          65.22290391560222,
          64.69625108959825,
          64.15841396382012,
          63.60920115560954,
          63.048412252184086,
          62.47583723804781,
          61.89125587253905,
          61.29443701207226,
          60.685137870908434,
          60.063103213449395,
          59.42806447008074,
          58.779738767454084,
          58.11782786277776,
          57.44201697013246,
          56.75197346500417,
          56.047345451070285,
          55.32776017071968,
          54.59282223774416,
          53.842111667001134,
          53.07518167147811,
          52.2915561919163,
          51.4907271177565,
          50.67215115037311,
          49.83524625000333,
          48.9793875959896,
          48.103902975323,
          47.20806749619816,
          46.29109750029592,
          45.35214351836215,
          44.39028207640574,
          43.40450611183641,
          42.39371369642255,
          41.35669468091959,
          40.29211476729719,
          39.19849636817654,
          38.074195414053996,
          36.91737299440897,
          35.72596033455784,
          34.497615063310356,
          33.2296659340462,
          31.919041990012854,
          30.562180392324606,
          29.154904379789162,
          27.87212904474897,
          26.53656859501707,
          25.36350208148324,
          24.142710544825153,
          23.069356436242163,
          21.954091058140115,
          20.97270426302982,
          19.954357669465853,
          19.05759406939146,
          18.12812196480344,
          17.3090800053679,
          16.461003407298506,
          15.713238544224401,
          14.93963180457644,
          14.257155327800628,
          13.55162528184298,
          12.92889299538005,
          12.285552746119123,
          11.717447229279728,
          11.130886960662393,
          10.612695962910193,
          10.077952416555421,
          9.605345141785046,
          9.117870868056094,
          8.686873355517992,
          8.242506486331147,
          7.849476913361613,
          7.444411947186794,
          7.086016410049437,
          6.716776320010708,
          6.389965459011077,
          6.053375306725936,
          5.755362006474299,
          5.448524154290696,
          5.176762453843025,
          4.897033404628846,
          4.649198683521502,
          4.394167532957592,
          4.168137990912882,
          3.9356064467268546,
          3.729445860434318,
          3.517409762646867,
          3.3293514794937615,
          3.1359837425308217,
          2.964415855160184,
          2.7880507447593277,
          2.6315023799913813,
          2.470621033980835,
          2.3277496843995458,
          2.180966786206868,
          2.0505466122572393,
          1.916598130067342,
          1.7975091683137572,
          1.675241083954177,
          1.5664593203017596,
          1.4548172990358086,
          1.3554056255001141,
          1.2534256411158955,
          1.16252586315284,
          1.0693259456344213,
          0.986152380364261,
          0.9009260326038057,
          0.8247621945819751,
          0.7467749898076709,
          0.6769773311133622,
          0.6055706894581084,
          0.541589506402922,
          0.47620183962412804,
          0.4176418383344498,
          0.3578698124826172,
          0.3046159503618334,
          0.25034261245635336,
          0.20265971709244562,
          0.15416188163170425,
          0.11239039644258675,
          0.07004458681861772,
          0.03400976331847612,
          -0.00232654242501667,
          -0.03321288349594598,
          -0.06415129067980577,
          -0.090380041003814,
          -0.11647305351415355,
          -0.13827513445804204,
          -0.1598255338310376,
          -0.17762690517236226,
          -0.1951103401145212,
          -0.20968677235998015,
          -0.22390063857850231,
          -0.2360198709692452,
          -0.24774188597129493,
          -0.2589847717692182,
          -0.2684218194072714,
          -0.27741152926842255,
          -0.28590105545005107,
          -0.2938465597392209,
          -0.30120409987709773,
          -0.3083910897678905,
          -0.3128423111901893,
          -0.3170002014320201,
          -0.3207521179357156,
          -0.3240845353907314,
          -0.3269855873601796,
          -0.3291920330102769,
          -0.33104480069579134,
          -0.3323595331549979,
          -0.333281028892587,
          -0.3339987793514546,
          -0.3345314841132618,
          -0.3348732105097476,
          -0.33488522585232766,
          -0.3344086946724455,
          -0.3331737885599508,
          -0.33090688683809477,
          -0.32775849019060954,
          -0.3237711968973627,
          -0.3189924561305507,
          -0.31347296993362506,
          -0.30726520843893435,
          -0.30042210305727957,
          -0.29297752861912085,
          -0.28464043800920397,
          -0.27534014631643156,
          -0.2649918436028803,
          -0.2534984855783718,
          -0.24074797635286543,
          -0.22660939321779636,
          -0.21092767975199003,
          -0.19351613869014075,
          -0.17414600661631985,
          -0.15253334999166746,
          -0.1283293096741035,
          -0.10114562136431993,
          -0.07073113916375401,
          -0.037435344908848,
          -0.002277911320634767,
          0.03400263776930718,
          0.07123967087501412,
          0.10949105684898292,
          0.1488562891131867,
          0.189431112388584,
          0.23130095964664732,
          0.27454240244045186,
          0.31922558348690144,
          0.36541625207499123,
          0.4131772681672351,
          0.462569678871997,
          0.5136534851119308,
          0.5664881894520872,
          0.6211331887817189,
          0.67764805524152,
          0.7360927347942915,
          0.7965276833337465,
          0.8590139539656592,
          0.9236132446455587,
          0.990387912452462,
          1.0594009586923667,
          1.1307159873832866,
          1.2043971386773733,
          1.2805089977819522,
          1.3591164792818782,
          1.4402846861339849,
          1.5240787421016524,
          1.6105635958657827,
          1.6998037945380275,
          1.7918632238766472,
          1.886804811865624,
          1.9846901918380697,
          2.085579320593893,
          2.1895300462730587,
          2.296597619865622,
          2.4068341432484837,
          2.520287945397649,
          2.63700287706359,
          2.757017512373783,
          2.8803642436742725,
          3.0070682533679927,
          3.1371463429714694,
          3.2706055955026825,
          3.4074418418236143,
          3.54763789432264,
          3.691161502051819,
          3.8379629687331627,
          3.987972357910329,
          4.141096185638,
          4.297213467573806,
          4.456170938569151,
          4.617777191239293,
          4.781795370678811,
          4.9479338920225615,
          5.115834370636573,
          5.285055488083654,
          5.455050689924647,
          5.625136061276657,
          5.794441605862461,
          5.961832289382403,
          6.12708568658509,
          6.2902980952292,
          6.423302309352567,
          6.555027739244182,
          6.685517886991923,
          6.834697523027372,
          7.001389601718698,
          7.183599285703494,
          7.380365995325223,
          7.5912350021425725,
          7.816058108817783,
          8.054892141882812,
          8.307942830506088,
          8.575531751850457,
          8.858076049042253,
          9.156075708166618,
          9.470105559941908,
          9.800810373702973,
          10.148902056453194,
          10.515158334709461,
          10.900422510944738,
          11.305843732383448,
          11.73258110345866,
          12.181696555827116,
          12.65433306795601,
          13.151708880511329,
          13.67511989060668,
          14.2259417131356,
          14.805631674269872,
          15.415730619548864,
          16.057864431737197,
          16.73374515171569,
          17.445171594700625,
          18.19402935793307,
          18.982290124085544,
          19.812010178878143,
          20.685328081751322,
          21.604461456411833,
          22.571702898156826,
          23.58941502761169,
          24.660024745759323,
          25.786016759025355,
          26.96992643060014,
          28.214331968077104,
          29.52184585995779,
          30.895105312400954,
          32.22976752575932,
          33.521027825421825,
          34.772064884503536,
          35.98563607753659,
          37.16415350071792,
          38.30974300129005,
          39.42429067041138,
          40.50947993032028,
          41.56682145841809,
          42.5976775822257,
          43.60328235409767,
          44.584758212618084,
          45.543129919746676,
          46.47933630336825,
          47.39424021672374,
          48.2886370375511,
          49.16326196252141,
          50.01879630103417,
          50.855872932579835,
          51.675081060777,
          52.47697037272064,
          53.262054692874386,
          54.03081520524521,
          54.78370330511903,
          55.5211431315536,
          56.243533823617824,
          56.95125153664661,
          57.644651249249044,
          58.32406838723154,
          58.989820286793204,
          59.64220751617283,
          60.281515072262444,
          60.90801346645619,
          61.52195971210563,
          62.12359822434017,
          62.71316164163844,
          63.290871577362275,
          63.85693930845808,
          64.41156640766359,
          64.95494532481032,
          65.48725992216406,
          66.00868596818422,
          66.51939159359284,
          67.01953771321755,
          67.50927841669879,
          67.98876133082398,
          68.45812795596314,
          68.91751397882653,
          69.36704956354099,
          69.80685962284268,
          70.23706407100879,
          70.6577780599936,
          71.06911220009604,
          71.47117276636105,
          71.86406189180653,
          72.24787774846878,
          72.62271471716927,
          72.98866354682723,
          73.34581150406946,
          73.69424251382421,
          74.03403729152868,
          74.36527346752494,
          74.68802570417361,
          75.00236580616904,
          75.30836282450265,
          75.60608315448367,
          75.89559062819501,
          76.17694660173218,
          76.45021003754611,
          76.71543758218597,
          76.97268363971595,
          77.22200044105897,
          77.46343810950118,
          77.69704472257423,
          77.92286637051606,
          78.14094721149603,
          78.3513295237773,
          78.5540537549758,
          78.74915856856487,
          78.93668088776293,
          79.11665593693223,
          79.28911728060723,
          79.45409686026291,
          79.61162502892486,
          79.76173058371674,
          79.90444079643211,
          80.0397814422131,
          80.16777682641047,
          80.28844980969585,
          80.4018218314897,
          80.50791293176563,
          80.60674177128483,
          80.69832565031183,
          80.78268052585723,
          80.85982102748991,
          80.92976047175684,
          80.99251087524516,
          81.04808296631823,
          81.09648619555271,
          81.13772874490219,
          81.17181753560827,
          81.19875823487811,
          81.21855526134331,
          81.23121178931368,
          81.2367297518352,
          81.23510984255937,
          81.22635151642834,
          81.21045298917764,
          81.18741123565486,
          81.1572219869506,
          81.119879726336,
          81.07537768399587,
          81.02370783054636,
          80.96486086932211,
          80.89882622741415,
          80.82559204543834,
          80.74514516601,
          80.65747112089699,
          80.56255411682166,
          80.46037701987628,
          80.35092133851559,
          80.23416720508396,
          80.11009335583243,
          79.97867710937554,
          79.83989434353435,
          79.69371947050699,
          79.5401254103026,
          79.37908356237072,
          79.2105637753506,
          79.03453431486126,
          78.85096182924482,
          78.65981131316968,
          78.46104606899283,
          78.25462766577276,
          78.04051589581611,
          77.81866872863156,
          77.58904226215516,
          77.35159067110115,
          77.10626615228067,
          76.85301886671769,
          76.5917968783791,
          76.32254608932156,
          76.0452101710409,
          75.75973049179406,
          75.46604603964389,
          75.16409334095752,
          74.85380637406662,
          74.53511647777316,
          74.2079522543593,
          73.8722394667292,
          73.5279009292793,
          73.17485639205968,
          72.81302241774864,
          72.4423122509224,
          72.06263567905259,
          71.67389888461507,
          71.2760042876344,
          70.86885037792605,
          70.45233153622769,
          70.02633784333253,
          69.59075487625144,
          69.14546349033347,
          68.69033958616428,
          68.22525385994415,
          67.75007153590845,
          67.2646520792024,
          66.76884888745002,
          66.26250895906345,
          65.74547253612187,
          65.21757271939933,
          64.67863505284346,
          64.12847707448525,
          63.56690783039983,
          62.99372734792045,
          62.40872606383487,
          61.811684202746115,
          61.20237110015335,
          60.5805444640826,
          59.9459495682587,
          59.29831836883423,
          58.63736853555819,
          57.96280238693871,
          57.27430571739948,
          56.571546502598444,
          55.85417346691467,
          55.121814494543024,
          54.374074862584145,
          53.61053527085961,
          52.83074963879589,
          52.034242634420146,
          51.22050689407942,
          50.38899988365495,
          49.5391403424211,
          48.670304238828756,
          47.78182015275531,
          46.87296398033718,
          45.942952834311356,
          44.990937983370074,
          44.015996636413355,
          43.01712232906185,
          41.99321360661703,
          40.943060614586855,
          39.86532909747508,
          38.75854115803924,
          37.621051926969905,
          36.45102101364937,
          35.24637721706332,
          34.00477441772717,
          32.723535760965355,
          31.399582040722112,
          30.029338371920417,
          28.608610406311975,
          27.30504552503278,
          25.94782526138508,
          24.760306864204026,
          23.523949007617293,
          22.440880706820362,
          21.31512076965256,
          20.3279974090343,
          19.30339110658417,
          18.40421371856397,
          17.472005399691252,
          16.653310151627494,
          15.805415512439481,
          15.060275663049826,
          14.28925360496227,
          13.611267431893543,
          12.91028577432426,
          12.29355580248154,
          11.656353823482435,
          11.095460913025182,
          10.516310700631157,
          10.006285383193019,
          9.47995331081768,
          9.016245979972306,
          8.537955164066647,
          8.116406194465219,
          7.681800478270159,
          7.298610982833271,
          6.9037207741376925,
          6.5554244559840775,
          6.1966345962272,
          5.880070976068834,
          5.554090715009195,
          5.2663798918367215,
          4.970214970206635,
          4.7087339878340355,
          4.439660783058619,
          4.202021615602937,
          3.957563273443177,
          3.74159240262581,
          3.5194968579996098,
          3.3232163882459247,
          3.121436166903702,
          2.9430464073317113,
          2.759720094833643,
          2.5975835281857846,
          2.4310187932064693,
          2.283645349973386,
          2.132303413715715,
          1.9983369759092617,
          1.860818432163662,
          1.739024510608519,
          1.6140564252568763,
          1.5033109988324946,
          1.3897352670292404,
          1.2890148714245997,
          1.185777914891416,
          1.0941512928046435,
          1.000295409759242,
          0.9169175534973548,
          0.8315747603305994,
          0.755685396562935,
          0.6780758299669736,
          0.6090072027401844,
          0.5384469741893335,
          0.4756514786436203,
          0.41158060975574723,
          0.35469484338440416,
          0.29674208911177835,
          0.2456790395242876,
          0.1937562753383652,
          0.14867651511250246,
          0.10295515486471035,
          0.06389079575213982,
          0.024424686635209872,
          -0.009075033523591576,
          -0.04273078122808997,
          -0.07140881946489769,
          -0.10002393947257616,
          -0.12451201323964664,
          -0.14876386356509055,
          -0.169320304600171,
          -0.18952603607210725,
          -0.20622966092703077,
          -0.22253401340328263,
          -0.23589726668399166,
          -0.24884131956436073,
          -0.2596247214258873,
          -0.2699714445085129,
          -0.2787896788745242,
          -0.2871539843344873,
          -0.2950025728096182,
          -0.30228587185361977,
          -0.30826185356140556,
          -0.3137112370744769,
          -0.3186419967068517,
          -0.32285751349749037,
          -0.326461723700396,
          -0.32911244636708753,
          -0.33124444130897424,
          -0.3328414388802693,
          -0.33378360005613417,
          -0.3343051234613779,
          -0.3344009080942335,
          -0.33415566774631283,
          -0.33370763841051815,
          -0.3330406601975056,
          -0.33205322786404534,
          -0.3305358763735488,
          -0.32830485812526006,
          -0.32499090459845686,
          -0.3202206390986455,
          -0.3145488875380617,
          -0.30872075871891286,
          -0.3022422618583391,
          -0.2951356520169558,
          -0.28731574094826645,
          -0.2787204141791355,
          -0.2692873587895479,
          -0.25894993783049125,
          -0.24763497628981943,
          -0.23526080396465612,
          -0.22173510160194967,
          -0.20695224990423042,
          -0.1907898676750678,
          -0.17310412622819793,
          -0.15372327485186393,
          -0.1324387039310997,
          -0.10899325770111117,
          -0.08306933165899558,
          -0.05429245314233941,
          -0.02231565262760635,
          0.012852330254934773,
          0.05040483682715036,
          0.08925946819482088,
          0.12893095743171515,
          0.16938662726121562,
          0.21072111306162386,
          0.2530408283872877,
          0.2964402950756567,
          0.3410009165940067,
          0.3867937589672169,
          0.43388234492460054,
          0.4823247972624487,
          0.5321753726411642,
          0.5834855344112275,
          0.6363046945874065,
          0.690680719638001,
          0.7466602654591812,
          0.8042889859232312,
          0.8636116448648986,
          0.9246721517809117,
          0.9875135345656373,
          1.0521778581389647,
          1.1187060942857117,
          1.1871379456088638,
          1.2575116244534223,
          1.3298635861971608,
          1.404228214716163,
          1.480637456673414,
          1.5591203999062826,
          1.6397027897094039,
          1.7224064753897383,
          1.807248777522184,
          1.894241764189169,
          1.983391421761693,
          2.0746967023801695,
          2.168148425836014,
          2.263728007907894,
          2.3614059795529916,
          2.4611402509868086,
          2.5628740605776277,
          2.666533528647417,
          2.7720247075623345,
          2.879229977989549,
          2.988003578155738,
          3.0981659556126195,
          3.2094964751698085,
          3.3217237568601354,
          3.434512465770825,
          3.547444543827006,
          3.6599912402955233,
          3.7714688139813206,
          3.881532137360221,
          3.990245279635792,
          4.082963491108635,
          4.160400013529238,
          4.237199337725249,
          4.32841791226115,
          4.432443901971631,
          4.547285973915289,
          4.6720066390761055,
          4.806137165645341,
          4.949473754052219,
          5.101980809260255,
          5.263739914755586,
          5.4349207512650475,
          5.615763655408283,
          5.806568840436827,
          6.007689673055188,
          6.219528551166153,
          6.442534526739983,
          6.67720214753518,
          6.924071181185856,
          7.183801167021229,
          7.457232814538352,
          7.745052373977604,
          8.048006408230497,
          8.366894182661891,
          8.702569907412368,
          9.055944652441546,
          9.42798830249638,
          9.819731458916003,
          10.232267210824848,
          10.666752691599044,
          11.12441033318785,
          11.606528728670193,
          12.114463016957913,
          12.649634712852473,
          13.213530923982736,
          13.807702925439807,
          14.43376410264423,
          15.093387324882846,
          15.788301870817918,
          16.52029009029746,
          17.29118404407139,
          18.102862405990642,
          18.957247931453033,
          19.856305780697987,
          20.802042934577237,
          21.796508855743685,
          22.841797435124157,
          23.940050141588696,
          25.09346017252387,
          26.304277303226726,
          27.574813057941558,
          28.907445780929528,
          30.30462515695687,
          31.67231430476175,
          32.99323026070617,
          34.27100963966922,
          35.50878278631915,
          36.709269409583406,
          37.87485190731178,
          39.007632470804616,
          40.10947817890174,
          41.182057052642854,
          42.22686720644158,
          43.24526065708401,
          44.23846294908522,
          45.20758946786019,
          46.15365910442388,
          47.077605782906105,
          47.980288248886275,
          48.86249843138119,
          49.72496862657756,
          50.568377701700435,
          51.3933564788919,
          52.20049242886824,
          52.990333780399354,
          53.76339313281559,
          54.52015064368285,
          55.26105685165678,
          55.98653518470369,
          56.6969841958655,
          57.39277956218406,
          58.074275876992765,
          58.74180826130458,
          59.39569381630022,
          60.0362329358052,
          60.663710495029825,
          61.278396929642895,
          61.88054921738399,
          62.470411772834765,
          63.048217264618955,
          63.614187363146,
          64.16853342602056,
          64.71145712738576,
          65.24315103673294,
          65.76379915206881,
          66.27357739177859,
          66.77265404903935,
          67.26119021221693,
          67.7393401543089,
          68.20725169417405,
          68.66506653200179,
          69.1129205612263,
          69.55094415886619,
          69.97926245607373,
          70.39799559050694,
          70.80725894197782,
          71.20716335269702,
          71.59781533330882,
          71.97931725580239,
          72.35176753428561,
          72.71526079452028,
          73.06988803303798,
          73.41573676658426,
          73.75289117257542,
          74.08143222119303,
          74.40143779968986,
          74.71298282943243,
          75.01613937616445,
          75.31097675393244,
          75.5975616230856,
          75.8759580827216,
          76.1462277579283,
          76.40842988214028,
          76.66262137490409,
          76.9088569153275,
          77.1471890114624,
          77.37766806585732,
          77.6003424374933,
          77.81525850030559,
          78.022460698475,
          78.22199159866166,
          78.4138919393417,
          78.59820067739302,
          78.7749550320696,
          78.9441905264912,
          79.10594102676636,
          79.26023877885991,
          79.40711444330616,
          79.54659712786304,
          79.67871441819428,
          79.80349240666263,
          79.92095571930814,
          80.03112754108163,
          80.13402963939878,
          80.22968238607272,
          80.31810477768202,
          80.39931445442303,
          80.47332771749362,
          80.54015954504933,
          80.59982360677274,
          80.65233227708791,
          80.69769664705422,
          80.73592653496475,
          80.76703049567678,
          80.7910158286937,
          80.80788858501849,
          80.81765357279444,
          80.82031436174498,
          80.81587328642374,
          80.8043314482819,
          80.78568871655787,
          80.75994372798912,
          80.72709388534797,
          80.68713535479644,
          80.64006306205388,
          80.58587068736884,
          80.52455065928139,
          80.45609414716562,
          80.38049105252912,
          80.29772999905266,
          80.20779832134575,
          80.11068205239009,
          80.00636590964157,
          79.89483327975731,
          79.77606620190979,
          79.65004534964872,
          79.51675001126416,
          79.37615806860182,
          79.22824597427976,
          79.07298872724418,
          78.91035984660638,
          78.74033134368807,
          78.5628736922051,
          78.37795579650741,
          78.18554495779141,
          77.98560683819102,
          77.77810542264724,
          77.56300297845014,
          77.3402600123356,
          77.10983522501363,
          76.8716854629919,
          76.62576566755047,
          76.37202882071213,
          76.1104258880379,
          75.84090575806745,
          75.56341517820755,
          75.2778986868564,
          74.98429854153696,
          74.68255464278944,
          74.3726044535567,
          74.05438291377448,
          73.72782234984966,
          73.39285237869001,
          73.0493998059142,
          72.69738851784436,
          72.33673936684126,
          71.96737004951414,
          71.58919497728533,
          71.20212513874918,
          70.80606795320914,
          70.40092711472657,
          69.98660242594177,
          69.56298962086719,
          69.12998017577029,
          68.6874611071748,
          68.23531475591909,
          67.77341855609528,
          67.30164478757564,
          66.81986031069654,
          66.32792628151928,
          65.82569784591155,
          65.31302381050536,
          64.78974628836617,
          64.25570031696154,
          63.71071344573503,
          63.154605290277765,
          62.587187049720164,
          62.00826098355388,
          61.417619843620315,
          60.81504625645132,
          60.200312050519855,
          59.57317752223458,
          58.93339063366346,
          58.2806861340026,
          57.614784595656104,
          56.93539135446839,
          56.24219534208089,
          55.534867796542194,
          54.81306083512779,
          54.07640587073303,
          53.3245118501285,
          52.55696328867569,
          51.7733180716666,
          50.973104987095155,
          50.155820948156986,
          49.320927855831734,
          48.46784904214568,
          47.595965222657746,
          46.70460987173094,
          45.79306391539842,
          44.860549612989,
          43.90622346864617,
          42.92916797540809,
          41.92838194480892,
          40.90276911013651,
          39.85112460605137,
          38.77211881347635,
          37.66427790524503,
          36.52596021849225,
          35.35532728959933,
          34.15030797936476,
          32.90855353216272,
          31.627380561619752,
          30.303697688182364,
          28.933909622951397,
          27.51378947084684,
          26.221972790072424,
          24.876717979255396,
          23.7029685182208,
          22.480925022762932,
          21.413310580232455,
          20.30362393102447,
          19.33317901728946,
          18.325917582448163,
          17.44426726760076,
          16.53028017929851,
          15.7296538787565,
          14.900536316173223,
          14.17375765951068,
          13.421808970351131,
          12.762273874559872,
          12.080452328415841,
          11.482100154454896,
          10.863976655005386,
          10.321257654592612,
          9.760969921957075,
          9.26881108720848,
          8.761019272444184,
          8.314789977062192,
          7.854634301040359,
          7.450112635612932,
          7.033173392353249,
          6.666513765897515,
          6.288773859875798,
          5.9564762147270685,
          5.614286285066169,
          5.313167117299565,
          5.003213224529064,
          4.7303784964083135,
          4.449652296032141,
          4.202472255199899,
          3.948243550160533,
          3.7243294220640695,
          3.4941209670228144,
          3.2913034564566868,
          3.082867877762297,
          2.8991773970008468,
          2.7104760898363525,
          2.544124622735062,
          2.373308491446566,
          2.2226730041646254,
          2.0680649227576255,
          1.9316722442675174,
          1.7917511342802481,
          1.668264259939689,
          1.5416507200050018,
          1.4298565547886395,
          1.3153000452654713,
          1.214098734559212,
          1.1104664582940873,
          1.0188627330891207,
          0.9251306387749884,
          0.8422282041747222,
          0.7574751483402211,
          0.6824764374094425,
          0.6058838419265206,
          0.5381000419645207,
          0.46896197373343224,
          0.40784202923383833,
          0.3455944283429412,
          0.290779626723321,
          0.23505537004234967,
          0.18642471505149624,
          0.1371001239414185,
          0.09466208365803273,
          0.05175013075829032,
          0.015306962591104737,
          -0.021384391827111392,
          -0.05242341115212625,
          -0.08349490598348777,
          -0.10992086432587254,
          -0.13619099170717625,
          -0.15872473578703064,
          -0.18094564154519424,
          -0.2000301512004638,
          -0.21867884332715554,
          -0.23432364448264556,
          -0.2494724971534036,
          -0.26174219130713827,
          -0.27352069941138557,
          -0.28304658823799284,
          -0.2920898915896655,
          -0.2995337086262137,
          -0.3064981763188604,
          -0.31291506753752557,
          -0.31795897608050633,
          -0.32252679265527173,
          -0.3265782855432028,
          -0.3296472674509064,
          -0.3322767216894643,
          -0.3346696705673838,
          -0.3365491974202715,
          -0.33769890203361086,
          -0.3380787915855744,
          -0.33789217568072,
          -0.3371254638549104,
          -0.3359872596658725,
          -0.33440350446238726,
          -0.3323720227000579,
          -0.3303799982884959,
          -0.3280903572640775,
          -0.3255053292640471,
          -0.3221328994880881,
          -0.3175863204263912,
          -0.3111333739856405,
          -0.3037254917327707,
          -0.2955185303240765,
          -0.2865618594255627,
          -0.27690846191052326,
          -0.26661338304531224,
          -0.2557323186089853,
          -0.24428447422935012,
          -0.23193142227404737,
          -0.21860327771235177,
          -0.2042217173512338,
          -0.18869950580282407,
          -0.17193788728124357,
          -0.1538234896739738,
          -0.13422435819477158,
          -0.11298467855034462,
          -0.08991768589188526,
          -0.0647964904045075,
          -0.03734414708764589,
          -0.007231263205975876,
          0.025884816076149123,
          0.062177498355054775,
          0.101239914186181,
          0.14202147147055694,
          0.1836727903331628,
          0.2259300662540151,
          0.2688204432559646,
          0.31244044874992855,
          0.3568871352710012,
          0.4022445630592116,
          0.44858393825570614,
          0.4959661939056083,
          0.5444444290500724,
          0.5940657606224511,
          0.6448726312052911,
          0.6969036958175429,
          0.7501943970722806,
          0.804777309940448,
          0.8606823127074252,
          0.9179366223616614,
          0.976564719480863,
          1.036588178320493,
          1.0980254109447052,
          1.160891328884002,
          1.2251969216846654,
          1.2909487476870907,
          1.3581483289256986,
          1.4267914378827007,
          1.4968672594013621,
          1.5683574054913527,
          1.6412347534438088,
          1.7154620682109472,
          1.7909903566727243,
          1.8677568827886468,
          1.945682745417399,
          2.0246698803317584,
          2.1045972856530515,
          2.185316171803833,
          2.266643574822032,
          2.3483536934483635,
          2.43016570583587,
          2.5117258495385517,
          2.5925795237078657,
          2.672392261971188,
          2.7512113693046993,
          2.820284292757072,
          2.8789931209776616,
          2.93718991461505,
          3.000378407675196,
          3.0733543275139588,
          3.1542830397314066,
          3.242372380764716,
          3.33721866749058,
          3.438632594750794,
          3.5465578340421158,
          3.6610290107678987,
          3.7821480870435753,
          3.9100703285927323,
          4.044995679362727,
          4.187163391459402,
          4.3368487240932625,
          4.494361021018776,
          4.660042746049918,
          4.834269209990174,
          5.017503451704287,
          5.210337815772663,
          5.41325362127969,
          5.626775925961221,
          5.851468148071772,
          6.087933741431287,
          6.336817645172094,
          6.598807760667177,
          6.874636379875186,
          7.165081497771763,
          7.470967934420381,
          7.79316818674085,
          8.13260292656355,
          8.490241062448277,
          8.867099290420665,
          9.264241075536784,
          9.682775034675922,
          10.123852732764677,
          10.588665959381846,
          11.07844361774893,
          11.594448427774523,
          12.137973709390222,
          12.710340558809168,
          13.312895748304127,
          13.947010656600666,
          14.61408147137175,
          15.315530801056937,
          16.05281070468267,
          16.827407018120585,
          17.640844741932046,
          18.4946941803679,
          19.390577490291015,
          20.330175311393216,
          21.315233197886556,
          22.347567639686424,
          23.429071536190882,
          24.561719056241245,
          25.74756987519666,
          26.98877282319841,
          28.287569007971467,
          29.646294494280788,
          31.01788818260437,
          32.34066464530964,
          33.618586638165546,
          34.85504566035687,
          36.052973395916716,
          37.21492636831684,
          38.34315132811784,
          39.439636509738335,
          40.506152343412026,
          41.544284175741446,
          42.55545884917222,
          43.540966502597236,
          44.501978610421006,
          45.43956302982325,
          46.354696645607,
          47.24827606888431,
          48.12112674636946,
          48.97401076186324,
          49.807633554100484,
          50.62264973086007,
          51.41966812479266,
          52.19925620939447,
          52.96194397218378,
          53.708227325110464,
          54.43857111857137,
          55.15341181437691,
          55.8531598640568,
          56.53820183157298,
          57.208902293495036,
          57.86560554472651,
          58.508637133750256,
          59.13830524792507,
          59.75490196648623,
          60.358704396484946,
          60.94997570485449,
          61.52896605806157,
          62.095913479325986,
          62.6510446321306,
          63.19457553767021,
          63.72671223295757,
          64.24765137550536,
          64.75758079981561,
          65.25668003030594,
          65.74512075477989,
          66.22306726209925,
          66.69067684731351,
          67.14810018715865,
          67.59548168852666,
          68.03295981224484,
          68.46066737425872,
          68.87873182610966,
          69.28727551640876,
          69.68641593484183,
          70.07626594009957,
          70.45693397298905,
          70.82852425586997,
          71.1911369794554,
          71.5448684779191,
          71.88981139317231,
          72.22605482909229,
          72.55368449642278,
          72.87278284900019,
          73.18342921190602,
          73.48569990209671,
          73.77966834201634,
          74.06540516665441,
          74.34297832447677,
          74.6124531726233,
          74.87389256673148,
          75.12735694572164,
          75.37290441185219,
          75.61059080632653,
          75.84046978071727,
          76.06259286445083,
          76.27700952857428,
          76.48376724601714,
          76.6829115485395,
          76.87448608054416,
          77.05853264992025,
          77.23509127607413,
          77.404200235287,
          77.56589610353528,
          77.720213796894,
          77.86718660964186,
          78.00684625017001,
          78.1392228747955,
          78.26434511957088,
          78.3822401301743,
          78.4929335899592,
          78.59644974623693,
          78.69281143485823,
          78.7820401031582,
          78.86415583132114,
          78.93917735221785,
          79.00712206976485,
          79.06800607585033,
          79.12184416586648,
          79.16864985288704,
          79.20843538052307,
          79.24121173448437,
          79.26698865287888,
          79.28577463526894,
          79.29757695050785,
          79.30240164337374,
          79.30025354001731,
          79.2911362522319,
          79.27505218055911,
          79.2520025162361,
          79.2219872419866,
          79.18500513165921,
          79.14105374871062,
          79.09012944353046,
          79.03222734960063,
          78.96734137847999,
          78.89546421360305,
          78.81658730287678,
          78.73070085005806,
          78.63779380489188,
          78.53785385198555,
          78.4308673983926,
          78.31681955987752,
          78.19569414582367,
          78.06747364275306,
          77.93213919641298,
          77.7896705923861,
          77.64004623517611,
          77.4832431257152,
          77.31923683723414,
          77.148001489436,
          76.96950972090133,
          76.78373265965608,
          76.5906398918197,
          76.39019942824953,
          76.18237766908919,
          75.96713936612254,
          75.74444758282341,
          75.51426365199015,
          75.27654713083628,
          75.03125575340634,
          74.77834538017095,
          74.51776994464625,
          74.24948139687058,
          73.97342964355464,
          73.68956248471162,
          73.39782554655727,
          73.09816221045025,
          72.79051353762529,
          72.47481818945407,
          72.15101234294572,
          71.81902960117128,
          71.47880089827522,
          71.13025439870296,
          70.7733153902486,
          70.4079061704815,
          70.03394592608528,
          69.65135060458567,
          69.260032777911,
          68.85990149716524,
          68.45086213794484,
          68.03281623546115,
          67.60566130866489,
          67.16929067248535,
          66.72359323721163,
          66.26845329394811,
          65.80375028496137,
          65.32935855762007,
          64.84514710048684,
          64.35097925996877,
          63.84671243576169,
          63.332197753121584,
          62.80727970978128,
          62.27179579507739,
          61.72557607856142,
          61.16844276505409,
          60.600209712723945,
          60.02068191034745,
          59.42965490942867,
          58.82691420628708,
          58.21223456858711,
          57.585379300030645,
          56.946099436074554,
          56.294132862524194,
          55.629203347686946,
          54.951019477389096,
          54.259273480546824,
          53.553639931076525,
          52.8337743096746,
          52.09931140630981,
          51.34986354107501,
          50.58501857719706,
          49.80433769537994,
          49.00735289304937,
          48.193564165241085,
          47.36243631553264,
          46.513395335128195,
          45.64582427547834,
          44.75905852393587,
          43.85238037201579,
          42.92501274061022,
          41.9761118943676,
          41.00475893610917,
          40.009949818540235,
          38.99058354025139,
          37.945448099994096,
          36.87320365865039,
          35.77236218943799,
          34.641262664830144,
          33.47804050507212,
          32.28058955457923,
          31.04651419093504,
          29.773068197782372,
          28.4570755687132,
          27.094826151714788,
          25.681935464050017,
          24.442872491562397,
          23.151392536068407,
          22.026764634919598,
          20.856415442987704,
          19.83601104031683,
          18.775861803357056,
          17.850583508827523,
          16.89060712100748,
          16.05201413855382,
          15.183020693683654,
          14.423322422113227,
          13.636909225275476,
          12.94894287112651,
          12.237441337078973,
          11.614640799561627,
          10.971062783503495,
          10.407422876731172,
          9.825408027270067,
          9.315446667569592,
          8.789211788221685,
          8.327931843808152,
          7.8522228467428485,
          7.435074735218119,
          7.005121502437718,
          6.6279672142862305,
          6.239441500498526,
          5.898520453280109,
          5.5474968452468945,
          5.239393788619429,
          4.922313657383741,
          4.643928725221037,
          4.357567057748227,
          4.106087980389867,
          3.8475229469573184,
          3.620399382712205,
          3.386984481090282,
          3.181904392159575,
          2.971243003415458,
          2.78611098283901,
          2.59603317608201,
          2.4289506257083264,
          2.2574920585075526,
          2.1067391231105406,
          1.952121901492889,
          1.816141083674373,
          1.6767564750379198,
          1.5541378970625572,
          1.4285308390919442,
          1.3179992003274132,
          1.204854638470199,
          1.105258079634949,
          1.00338933517766,
          0.913690746662574,
          0.8220304493932019,
          0.7413024144909749,
          0.6588971920386058,
          0.5863230068005983,
          0.5123343704196823,
          0.44721956051132705,
          0.38093538189048004,
          0.3227350454042695,
          0.2635968641197744,
          0.21195333763232377,
          0.15959384725339382,
          0.11433065257178764,
          0.06856725826982389,
          0.02953033736141412,
          -0.00979512521149258,
          -0.042996542117116995,
          -0.07628339372890043,
          -0.10433014307575145,
          -0.13227960141212414,
          -0.15595984559001408,
          -0.17938709671263206,
          -0.19942102632232742,
          -0.2190684098342698,
          -0.23599728221726518,
          -0.252421048800493,
          -0.26643681211397907,
          -0.2798601525891689,
          -0.2907576083442193,
          -0.30106630645308846,
          -0.3091269724545206,
          -0.31664562031329074,
          -0.322555995696876,
          -0.32795602773766525,
          -0.3322095371814055,
          -0.3359830622997269,
          -0.33886987563835796,
          -0.3413206386753914,
          -0.34293447067742655,
          -0.34423998680558066,
          -0.34532200293608145,
          -0.34606102409473044,
          -0.34602399758973884,
          -0.3451781126563918,
          -0.34357031706650965,
          -0.341544022012268,
          -0.3389138371656075,
          -0.3356702707274018,
          -0.3323234744304984,
          -0.3285010310806324,
          -0.3246557477708136,
          -0.3209152972705418,
          -0.3168763724576687,
          -0.3121521150667793,
          -0.30582618779358395,
          -0.2971458641991219,
          -0.28708401591288973,
          -0.2762091345168972,
          -0.2645789568435287,
          -0.252254891986788,
          -0.23930017770386539,
          -0.22577821887658797,
          -0.21175117888310235,
          -0.19698181889322663,
          -0.18122708471353,
          -0.16441085492928414,
          -0.14644696922455355,
          -0.12723854395225612,
          -0.10667504984437855,
          -0.08462876101466378,
          -0.06095018526130221,
          -0.03546216456023153,
          -0.00795275213583163,
          0.02183121250202744,
          0.054181300670437,
          0.08938581421907645,
          0.1275724790020429,
          0.1683825643532123,
          0.21088128566203318,
          0.2541965619164027,
          0.29796420519679256,
          0.3421479875761642,
          0.3868177093779854,
          0.4320589716991405,
          0.47794900215681524,
          0.5245528045228344,
          0.5719243018301794,
          0.6201082284562385,
          0.6691417355980591,
          0.7190555438548952,
          0.769874689967232,
          0.8216189478654102,
          0.8743029922164951,
          0.9279363529116285,
          0.9825231909918264,
          1.0380619119162902,
          1.0945446197669049,
          1.151956405221505,
          1.210274449175748,
          1.2694669118599247,
          1.3294915620561467,
          1.3902940806888764,
          1.4518059439407995,
          1.513941747350905,
          1.5765957642066475,
          1.6396374209054476,
          1.702905183609337,
          1.7661980142927098,
          1.8292629155324014,
          1.8917757780402842,
          1.9534592918753713,
          2.0143512400745407,
          2.0744865941793127,
          2.12093059657256,
          2.1669477135109996,
          2.2146296903927527,
          2.269960663671462,
          2.3313944539356606,
          2.398279587282565,
          2.4702791228102337,
          2.547228118328565,
          2.629067399885006,
          2.7158096164182757,
          2.8075202428626183,
          2.9043063171870935,
          3.0063095202008037,
          3.1137018597631614,
          3.2266830053823004,
          3.3454787198133396,
          3.47034005152105,
          3.601543075301608,
          3.7394558436939795,
          3.884495361126597,
          4.0370191268844735,
          4.197416738353832,
          4.366106940984629,
          4.543538816674561,
          4.730192842170409,
          4.9265819452410415,
          5.133252494671055,
          5.350785161740062,
          5.5797955842663045,
          5.820934758466326,
          6.07488908120829,
          6.342379967094612,
          6.624162974296083,
          6.921026393345449,
          7.233789285724191,
          7.563299006531416,
          7.910428306324595,
          8.276072176985185,
          8.661144676885955,
          9.066576029519291,
          9.493310321538868,
          9.942304118301847,
          10.414526259543887,
          10.9109589968714,
          11.43260050251486,
          11.980468637915076,
          12.55560574820305,
          13.159084165388338,
          13.792012072288914,
          14.455539397558532,
          15.150863470824934,
          15.879234244301792,
          16.641958971462092,
          17.440406304088302,
          18.27600982676837,
          19.150271082787956,
          20.064762164220276,
          21.021127945545327,
          22.02108803434717,
          23.066438506424483,
          24.159053481151425,
          25.30088658562621,
          26.493972351998597,
          27.740427594327087,
          29.042452821396694,
          30.38311951861776,
          31.674877854689704,
          32.92177863753279,
          34.12727991431913,
          35.29436416509789,
          36.425626982305666,
          37.52334533142543,
          38.589530894777575,
          39.625972323229895,
          40.634269108528684,
          41.615859035032344,
          42.572040648251736,
          43.50399181052051,
          44.41278515144032,
          45.29940102996887,
          46.16473848457888,
          47.00962454323455,
          47.83482218600679,
          48.64103719301343,
          49.42892406408912,
          50.19909116065432,
          50.952105192108775,
          51.68849514685115,
          52.40875575035521,
          53.113350518578144,
          53.802714463561806,
          54.47725649883015,
          55.13736158462972,
          55.783392646862126,
          56.41569229844124,
          57.03458438757208,
          57.64037539391084,
          58.23335569062091,
          58.81380068784774,
          59.38197187104879,
          59.93811774583651,
          60.482474699488506,
          61.01526778798708,
          61.53671145635612,
          62.04701019911222,
          62.54635916683566,
          63.03494472415938,
          63.512944963868456,
          63.98053018126922,
          64.43786331252507,
          64.88510034025474,
          65.32239066933504,
          65.7498774755366,
          66.16769802935265,
          66.5759839971382,
          66.97486172146321,
          67.3644524823976,
          67.74487274127725,
          68.11623436834894,
          68.47864485556809,
          68.83220751569431,
          69.17702166873278,
          69.51318281666951,
          69.84078280736944,
          70.15990998842145,
          70.47064935165601,
          70.77308266899045,
          71.06728862020816,
          71.35334291322103,
          71.63131839732566,
          71.90128516991732,
          72.16331067708883,
          72.41745980850918,
          72.66379498694602,
          72.90237625276562,
          73.13326134371638,
          73.35650577028659,
          73.57216288689376,
          73.78028395915459,
          73.98091822745621,
          74.17411296704203,
          74.35991354480214,
          74.53836347294981,
          74.70950445975001,
          74.87337645745222,
          75.03001770757557,
          75.17946478367436,
          75.32175263171023,
          75.45691460814577,
          75.58498251586461,
          75.70598663801759,
          75.8199557698883,
          75.92691724886124,
          76.02689698257329,
          76.11991947531851,
          76.20600785277969,
          76.28518388514378,
          76.35746800866407,
          76.42287934571776,
          76.48143572341223,
          76.5331536907826,
          76.5780485346235,
          76.61613429399205,
          76.6474237734158,
          76.67192855483789,
          76.6896590083259,
          76.70062430156808,
          76.70483240818285,
          76.70229011485486,
          76.69300302731716,
          76.67697557519179,
          76.65421101569996,
          76.62471143624676,
          76.58847775589169,
          76.5455097257009,
          76.4958059279882,
          76.43936377443441,
          76.3761795030896,
          76.3062481742414,
          76.22956366514676,
          76.14611866360868,
          76.05590466038748,
          75.95891194042136,
          75.85512957284334,
          75.74454539976223,
          75.62714602378632,
          75.50291679425573,
          75.37184179215166,
          75.23390381364261,
          75.08908435222801,
          74.93736357943651,
          74.77872032402277,
          74.61313204961952,
          74.4405748307767,
          74.26102332733299,
          74.07445075704699,
          73.88082886641578,
          73.68012789960248,
          73.47231656538641,
          73.25736200204314,
          73.0352297400567,
          72.80588366255374,
          72.56928596334629,
          72.32539710245689,
          72.07417575899476,
          71.81557878123309,
          71.54956113373592,
          71.2760758413635,
          70.99507392997458,
          70.70650436362993,
          70.41031397808442,
          70.10644741033703,
          69.79484702399328,
          69.47545283016906,
          69.14820240364523,
          68.81303079395933,
          68.46987043108821,
          68.11865102535448,
          67.75929946114722,
          67.39173968402261,
          67.01589258069967,
          66.63167585143358,
          66.2390038741916,
          65.8377875600117,
          65.42793419885942,
          65.00934729523641,
          64.58192639272036,
          64.14556688653472,
          63.70015982315992,
          63.24559168589086,
          62.78174416513893,
          62.30849391214781,
          61.825712274648986,
          61.33326501282588,
          60.8310119937744,
          60.31880686244313,
          59.796496686805305,
          59.2639215747557,
          58.72091425992379,
          58.167299653259185,
          57.602894356853135,
          57.0275061360187,
          56.4409333451346,
          55.84296430217836,
          55.233376606185516,
          54.61193639108689,
          53.97839750845631,
          53.33250063063834,
          52.67397226446688,
          52.002523664320876,
          51.31784963153595,
          50.61962718513601,
          49.907514086424214,
          49.1811471970698,
          48.44014064685423,
          47.68408378305822,
          46.91253886841795,
          46.12503848842944,
          45.32108262126794,
          44.5001353143592,
          43.661620900210565,
          42.80491966990144,
          41.92936290480825,
          41.03422714464599,
          40.11872754128758,
          39.182010111092936,
          38.22314265094568,
          37.24110402105501,
          36.23477141552641,
          35.20290513212501,
          34.14413020453172,
          33.0569140575102,
          31.93953906349769,
          30.79006848115173,
          29.606303684703022,
          28.385729755721293,
          27.12544525609701,
          25.82207008062775,
          24.471622262448122,
          23.2596783408888,
          21.997796115417596,
          20.901326535263536,
          19.76030029343259,
          18.767488557685947,
          17.73609076567278,
          16.837692508864258,
          15.905729591271138,
          15.093195041190716,
          14.251358024779591,
          13.516820243353665,
          12.75662432368294,
          12.09287019081649,
          11.406593485684349,
          10.807027227546103,
          10.187650776593141,
          9.646253861897243,
          9.087404017925895,
          8.598693853698336,
          8.094587732087613,
          7.653576695848803,
          7.198971029939596,
          6.801126794770149,
          6.391270335676957,
          6.0324780629874235,
          5.663067524210843,
          5.339594246001958,
          5.006733705473254,
          4.715195050390159,
          4.4153586666459335,
          4.152687973397632,
          3.882685841615909,
          3.6461056315853315,
          3.4030525886863243,
          3.1900483249122287,
          2.971335508657096,
          2.779631543207089,
          2.582900514673918,
          2.410438116381826,
          2.233557366788584,
          2.0784747246515156,
          1.919518407711037,
          1.780132523649,
          1.6373612856890394,
          1.512151710005835,
          1.3839955400863946,
          1.2715899784820321,
          1.1566330847001731,
          1.055795047170492,
          0.9527629136995354,
          0.8623818420954903,
          0.770130892830359,
          0.6892156977287304,
          0.6067264863483607,
          0.5344042723894002,
          0.4607799541308174,
          0.39630280055866934,
          0.3307756833784652,
          0.2735379823841969,
          0.21548648535059767,
          0.16504619119074276,
          0.11401525328561783,
          0.07008013956837356,
          0.025765955146955687,
          -0.011926035852348738,
          -0.04979780466641595,
          -0.0816739593141207,
          -0.11354683941075343,
          -0.14026325171326823,
          -0.1668162896345633,
          -0.1891315603171875,
          -0.21114934572262042,
          -0.2297806896546549,
          -0.24800119502358658,
          -0.263552550942376,
          -0.2785896218739492,
          -0.29150819652561405,
          -0.30380860902203277,
          -0.31534447987218406,
          -0.32427293004176455,
          -0.3325126017420999,
          -0.33869437378089157,
          -0.3442609447998505,
          -0.34833423684037146,
          -0.35186504678430297,
          -0.3543778625499605,
          -0.3564157901635661,
          -0.3577143413988617,
          -0.3585321848724432,
          -0.35904917806989595,
          -0.35924950214091705,
          -0.35906460682802116,
          -0.35828890264464475,
          -0.3566465156110808,
          -0.3536666602735315,
          -0.3502842427810458,
          -0.34602563620937454,
          -0.3416541677815207,
          -0.3366065154528353,
          -0.33087609815647656,
          -0.32527866554477924,
          -0.31915396478225433,
          -0.312506880663343,
          -0.30689514169684184,
          -0.30096837130881,
          -0.2936156069838247,
          -0.2837206654328912,
          -0.26922108382830934,
          -0.25636657858978645,
          -0.24282610664016702,
          -0.22866010764144537,
          -0.21393049876039602,
          -0.1986991167698379,
          -0.1827960589359871,
          -0.16603040506994604,
          -0.14832968809067096,
          -0.1296185746431616,
          -0.10981579519589983,
          -0.08883168572115563,
          -0.0665657931360969,
          -0.04290418209498215,
          -0.01771614732481697,
          0.009149882348432477,
          0.037871165609440864,
          0.06865505546666766,
          0.1017384056668086,
          0.13736709213454917,
          0.17571577817006406,
          0.21668632349632974,
          0.2596726765980813,
          0.3037514729200355,
          0.348256491357688,
          0.3929443147437714,
          0.43780242972234973,
          0.4828926532662516,
          0.5282873887132195,
          0.5740508709831429,
          0.6202353268643016,
          0.6668812617068102,
          0.7140185478782016,
          0.761667376897958,
          0.8098388565083262,
          0.8585352348352243,
          0.9077497761037175,
          0.9574663056859731,
          1.007658421652872,
          1.0582883424830967,
          1.109305326566616,
          1.1606435532488792,
          1.212219287415886,
          1.263927041497939,
          1.3156342658708424,
          1.3671737668898578,
          1.4183324102979766,
          1.4688333196002339,
          1.5186456203859675,
          1.5678003260358626,
          1.6099685853264893,
          1.645004057668072,
          1.6797279308557638,
          1.7190916382965031,
          1.7642639077301374,
          1.8141799230095,
          1.8683505316685796,
          1.926518389416953,
          1.988554993386004,
          2.054412354533249,
          2.1240978005025086,
          2.197659704942613,
          2.2751789492400873,
          2.356763639590675,
          2.442545794727671,
          2.532679292535872,
          2.627338659351354,
          2.726718447032335,
          2.8310330353939195,
          2.940621782028846,
          3.055759756177914,
          3.176727930595659,
          3.3038303702922343,
          3.437394224239932,
          3.5777704980825322,
          3.725334802450553,
          3.8804880594457187,
          4.043657111011093,
          4.215295168323612,
          4.395882034991452,
          4.585924032926319,
          4.78595355942591,
          4.996528210496459,
          5.218229421567849,
          5.451660605438479,
          5.697444810711716,
          5.95622198218848,
          6.228645973607621,
          6.5153815348225885,
          6.817101557290939,
          7.134484895707151,
          7.468215076749515,
          7.818980147056575,
          8.18747380491882,
          8.57439782066633,
          8.980465604420246,
          9.40640665883348,
          9.852971581205598,
          10.320937264004792,
          10.811111981237465,
          11.324340122191492,
          11.861506423487864,
          12.423539636430139,
          13.011415635430858,
          13.626160020371678,
          14.268850292141702,
          14.940617688244764,
          15.642648761674558,
          16.37618677556625,
          17.142532971107684,
          17.943047751680716,
          18.77915181262904,
          19.65232723326965,
          20.564118539970075,
          21.516133740202708,
          22.510045323449283,
          23.547591223239444,
          24.630575733936247,
          25.760870381066464,
          26.9404147532035,
          28.171217319870546,
          29.455356288957592,
          30.694147451348613,
          31.889017261198322,
          33.04339819805196,
          34.16024632071165,
          35.24213081550695,
          36.291302779729314,
          37.309748871411244,
          38.299233729888066,
          39.26133392984393,
          40.19746545948092,
          41.10890618075293,
          41.99681435534504,
          42.86224405277673,
          43.70615806322013,
          44.52943879519988,
          45.33289753234799,
          46.11728234358341,
          46.883284880362055,
          47.63154624796878,
          48.36266210162524,
          49.077187089866456,
          49.775638745303496,
          50.45850090514183,
          51.126226729627916,
          51.77924137515127,
          52.41794436945967,
          53.04271172888567,
          53.65389785128373,
          54.25183721326065,
          54.83684589606133,
          55.40922296093787,
          55.969251691886605,
          56.51720072117356,
          57.05332505096453,
          57.577866982633005,
          58.091056963796184,
          58.59311436187039,
          59.08424817183351,
          59.56465766493519,
          60.03453298430832,
          60.494055692709104,
          60.943399277037166,
          61.38272961373198,
          61.81220539870893,
          62.2319785450821,
          62.642194551584076,
          63.04299284427057,
          63.43450709384088,
          63.81686551066166,
          64.1901911193739,
          64.55460201476896,
          64.91021160046371,
          65.25712881175698,
          65.59545832391446,
          65.92530074700872,
          66.24675280835285,
          66.55990752345564,
          66.86485435635082,
          67.16167937008062,
          67.45046536803314,
          67.73129202679455,
          68.00423602109576,
          68.26937114140696,
          68.52676840466947,
          68.77649615863025,
          69.01862018019239,
          69.25320376817663,
          69.4803078308412,
          69.69999096849482,
          69.91230955150256,
          70.11731779396871,
          70.3150678233487,
          70.50560974623308,
          70.68899171052698,
          70.86525996422569,
          71.034458910974,
          71.19663116259701,
          71.35181758875301,
          71.50005736386476,
          71.64138801147168,
          71.77584544612849,
          71.90346401297953,
          72.02427652511331,
          72.13831429880558,
          72.24560718674684,
          72.34618360935049,
          72.44007058421295,
          72.52729375381413,
          72.60787741153264,
          72.68184452602439,
          72.7492167640536,
          72.81001451180725,
          72.86425689476202,
          72.91196179615154,
          72.95314587406588,
          72.98782457724123,
          73.01601215956512
         ]
        }
       ],
       "layout": {
        "autosize": true,
        "shapes": [
         {
          "fillcolor": "#ffcc00",
          "line": {
           "width": 0
          },
          "type": "circle",
          "x0": -0.327550338139196,
          "x1": 0.327550338139196,
          "xref": "x",
          "y0": -0.327550338139196,
          "y1": 0.327550338139196,
          "yref": "y"
         }
        ],
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "constrain": "domain",
         "title": {
          "text": "x (m)"
         }
        },
        "yaxis": {
         "scaleanchor": "x",
         "title": {
          "text": "y (m)"
         }
        }
       }
      },
      "text/html": [
       "<div>\n",
       "        \n",
       "        \n",
       "            <div id=\"00eacba6-ab50-40ce-ac19-cf029be1ad9a\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>\n",
       "            <script type=\"text/javascript\">\n",
       "                require([\"plotly\"], function(Plotly) {\n",
       "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
       "                    \n",
       "                if (document.getElementById(\"00eacba6-ab50-40ce-ac19-cf029be1ad9a\")) {\n",
       "                    Plotly.newPlot(\n",
       "                        '00eacba6-ab50-40ce-ac19-cf029be1ad9a',\n",
       "                        [{\"marker\": {\"color\": \"#ffcc00\", \"size\": 0}, \"mode\": \"markers\", \"name\": \"attractor\", \"type\": \"scatter\", \"x\": [0], \"y\": [0]}, {\"marker\": {\"color\": \"#35c847\", \"line\": {\"width\": 2}, \"size\": 5}, \"mode\": \"lines\", \"name\": \"geodesic\", \"type\": \"scatter\", \"x\": [83.1491579260158, 83.1517389467587, 83.1735298807884, 83.18801070202696, 83.19517707821157, 83.19502340285317, 83.18754279046762, 83.17272707057323, 83.15056678044147, 83.12105115658426, 83.08416812495949, 83.03990428987177, 82.9882449215434, 82.92917394232688, 82.86267391152666, 82.78872600879454, 82.70731001605954, 82.61840429794862, 82.52198578065153, 82.41802992917751, 82.30651072294809, 82.1874006296653, 82.06067057738876, 81.92628992475075, 81.78422642923196, 81.63444621341488, 81.47691372912476, 81.31159171936204, 81.13844117792146, 80.95742130658604, 80.76848946977498, 80.57160114651553, 80.36670987959845, 80.1537672217667, 79.9327226787742, 79.70352364914017, 79.4661153604099, 79.22044080171855, 78.96644065243822, 78.70405320667132, 78.43321429333398, 78.15385719155276, 77.86591254107513, 77.5693082473694, 77.26396938106328, 76.94981807133975, 76.62677339287752, 76.2947512458867, 75.95366422875209, 75.60342150275231, 75.24392864827658, 74.87508751190757, 74.49679604368094, 74.1089481237684, 73.71143337775895, 73.3041369796349, 72.88693944145035, 72.45971638862224, 72.02233831963481, 71.57467034883551, 71.11657193086391, 70.64789656510138, 70.1684914783566, 69.67819728380799, 69.1768476140038, 68.66426872547424, 68.14027907222714, 67.60468884508147, 67.05729947342857, 66.49790308559766, 65.92628192352811, 65.34220770690845, 64.74544094131754, 64.1357301641847, 63.51281112155364, 62.876405867671906, 62.226221778306495, 61.561950467379376, 60.8832665949868, 60.189826553068876, 59.48126701287808, 58.75720331588863, 58.017227686810884, 57.26090724382231, 56.48778177686955, 55.69736125977183, 54.889123055656505, 54.06250876772034, 53.21692067809606, 52.35171770627432, 51.46621080451889, 50.55965769026732, 49.6312567936446, 48.680140270610394, 47.70536589713767, 46.705907614759106, 45.680644439496454, 44.62834736997956, 43.54766382995678, 42.43709904610887, 41.29499358066251, 40.11949599000541, 38.90852923580575, 37.65974898908693, 36.370491270468754, 35.03770585042368, 33.65787031125656, 32.22687734518912, 30.739884208230066, 29.354533810804337, 27.90835532600747, 26.650911260409014, 25.337394744587495, 24.19395586481172, 23.001865797583395, 21.963392187178147, 20.882564690305387, 19.940637107785356, 18.961766298102543, 18.10864162595909, 17.22327229295322, 16.451903213779286, 15.652411453570384, 14.956446840450104, 14.236011372429887, 13.609780016436714, 12.962343236088463, 12.400821534111302, 11.821038622584048, 11.319806873652768, 10.80298651208397, 10.358193647974945, 9.900250410058975, 9.50863946682486, 9.106111825314027, 8.765222512760063, 8.415475722881881, 8.1243196397203, 7.8567671983459135, 7.614564719664402, 7.400612256257674, 7.222736598314134, 7.042040816744989, 6.849234641805298, 6.63873391417696, 6.4169590771998815, 6.188365196771714, 5.955131199313533, 5.716905335232814, 5.473286606212834, 5.250728221357117, 5.023122736823635, 4.790036766706425, 4.581717134281659, 4.36845401086834, 4.149800131855612, 3.959174364218916, 3.763789306410528, 3.585224528733742, 3.4021272177729225, 3.2357116585331114, 3.0649909474758235, 2.9105448986982143, 2.752047018829955, 2.609269763161878, 2.4627108621896014, 2.331257780752262, 2.1963041581233917, 2.0758315761584876, 1.9521469507031746, 1.8423143757469553, 1.729563554940011, 1.6299881971381993, 1.5277916576187693, 1.4379783632085663, 1.3458405615455877, 1.265139279598334, 1.1824032890320266, 1.1100303900936521, 1.035897104467558, 0.9710051883350534, 0.9046036924991823, 0.8463581468263108, 0.7868252559935238, 0.7344611542545514, 0.6810017136008716, 0.6337595501244261, 0.5856052745777143, 0.5428272555634384, 0.49930103968026435, 0.46058861183169986, 0.4212685410425333, 0.3864172947655887, 0.35108349032847075, 0.32028731161297086, 0.2891243474177981, 0.26400294878790254, 0.24158614341860368, 0.21902711771686176, 0.19233565451034915, 0.1618195457579652, 0.12749242224247442, 0.08950156870173445, 0.055719088690454374, 0.02172641585529331, -0.007638725249602139, -0.03702053585843312, -0.0663076670139978, -0.09161808600499845, -0.1167340517321046, -0.14154077072056542, -0.16593198197736525, -0.1869469778051424, -0.20747138160795317, -0.22737532179779427, -0.2465421457141433, -0.2648470060450173, -0.2821596424567394, -0.29834830323420736, -0.31328473129972134, -0.3272075183086206, -0.3387003356805645, -0.3469173915591104, -0.3534064016877005, -0.359150062903217, -0.3648007229325946, -0.369985156267914, -0.3743406439027205, -0.37741563898867414, -0.37869979812625726, -0.37827493712094873, -0.3762694889026383, -0.37281927752981603, -0.3680612717544722, -0.3621288428462556, -0.3551484805585283, -0.3472377674703746, -0.33850434949963276, -0.32904563966036504, -0.3189490250328109, -0.3080948863455781, -0.29638057043926547, -0.2837593701158271, -0.2701436296682356, -0.25536247391397476, -0.2390111747873678, -0.22371780245475825, -0.20813710084209427, -0.19233288229978918, -0.17533885645198766, -0.15723582653932294, -0.1380522258574408, -0.11776804844651785, -0.09634144316623101, -0.07371772096517192, -0.04983273180098684, -0.024614206688817992, 0.0020177795566240072, 0.030150784096769887, 0.05988708173765595, 0.09137104721264822, 0.12471523897414798, 0.16004361569779682, 0.19749055183092337, 0.23720139408196048, 0.2793329529950759, 0.32405392925900633, 0.3715452068722738, 0.4219999322599282, 0.47562328261070413, 0.5326318144435354, 0.5932522817629334, 0.6577198325413166, 0.7262755452471451, 0.7991633649931104, 0.8766266433155883, 0.9589046581652746, 1.0462296441673704, 1.138824926678262, 1.2369046593487465, 1.3406753965943212, 1.4503393540923524, 1.5660988554102204, 1.688161264396808, 1.8167437194471006, 1.952077175436959, 2.09440951898575, 2.2440077539658447, 2.4011594033838013, 2.5661733357484926, 2.7393802228014708, 2.921132800132803, 3.1118060572662176, 3.3117974410438817, 3.5215271234870453, 3.7414383611459683, 3.9719979579262588, 4.213696833879579, 4.467050697488506, 4.732600816606584, 5.010914882481892, 5.302587961371383, 5.608243529152161, 5.928534584790316, 6.264144839686524, 6.615789980432576, 6.984219003734018, 7.37021562203983, 7.774599739879458, 8.198229000495212, 8.642000403361147, 9.106851992930654, 9.593764619580751, 10.103763773544049, 10.63792149290272, 11.197358346885036, 11.783245495309455, 12.396806825749966, 13.039321169247499, 13.712124596106875, 14.416612792536805, 15.154243520197715, 15.926539159091043, 16.73508933647913, 17.581553643592123, 18.467664442875297, 19.395229770464688, 20.36613633922634, 21.382352651763554, 22.44593223540027, 23.559017018649982, 24.723840877033258, 25.94273338898158, 27.21812386326349, 28.552545727943873, 29.94864141454672, 31.407817773248883, 32.81851599740064, 34.18451025707999, 35.509044981930195, 36.794935915660645, 38.044647347187194, 39.26035209151699, 40.443978742307344, 41.59724937403432, 42.721709970038624, 43.81875523491294, 44.88964901829577, 45.93554127070123, 46.95748223093443, 47.956434382865375, 48.93328259940546, 49.888842801556734, 50.82386939215425, 51.73906167162094, 52.63506940259339, 53.51249765869814, 54.37191106790844, 55.21383754120591, 56.038771561530794, 56.84717709534765, 57.63949017890835, 58.41612122295377, 59.17745707276468, 59.923862854850476, 60.65568363690997, 61.373245923831, 62.07685900926281, 62.76681619958446, 63.443395924807604, 64.10686274902072, 64.75746829134053, 65.39545206693914, 66.0210422565198, 66.63445641158884, 67.23590210198854, 67.82557751139417, 68.40367198581816, 68.97036653959209, 69.52583432279805, 70.070241053686, 70.60374541923223, 71.12649944666055, 71.63864884845344, 72.14033334312175, 72.63168695377236, 73.11283828631183, 73.58391078894309, 74.04502299445407, 74.4962887466543, 74.93781741218895, 75.36971407884695, 75.7920797413782, 76.2050114757439, 76.60860260264272, 77.00294284108202, 77.38811845269703, 77.7642123774613, 78.13130436137813, 78.48947107669295, 78.83878623512364, 79.17932069456447, 79.51114255968348, 79.83431727679981, 80.14890772339702, 80.454974292601, 80.75257497292567, 81.04176542356721, 81.32259904550489, 81.59512704864933, 81.85939851525927, 82.11546045983258, 82.36335788566215, 82.60313383823295, 82.83482945562406, 83.05848401606754, 83.27413498280508, 83.48181804637323, 83.68156716443838, 83.87341459929405, 84.05739095312545, 84.23352520113714, 84.40184472263459, 84.56237533014195, 84.71514129663355, 84.86016538094967, 84.99746885146287, 85.12707150805446, 85.24899170245772, 85.36324635701813, 85.46985098191738, 85.56881969090414, 85.66016521556942, 85.74389891820171, 85.82003080325308, 85.88856952744352, 85.94952240852822, 86.0028954327486, 86.04869326098483, 86.08691923362508, 86.1175753741627, 86.1406623915305, 86.15617968117785, 86.16412532489359, 86.16449608937468, 86.1572874235381, 86.14249345456967, 86.12010698270196, 86.09011947470873, 86.05252105610212, 86.0073005020144, 85.9544452267435, 85.89394127193837, 85.82577329339695, 85.7499245464452, 85.66637686986371, 85.57511066832284, 85.476104893285, 85.36933702232731, 85.2547830368346, 85.13241739800749, 85.00221302112583, 84.86414124800267, 84.71817181755837, 84.56427283443915, 84.40241073559766, 84.23255025474738, 84.05465438459528, 83.86868433674964, 83.67459949919245, 83.47235739119682, 83.26191361556076, 83.04322180801904, 82.8162335836836, 82.5808984803521, 82.33716389851148, 82.0849750378495, 81.8242748300734, 81.55500386781839, 81.2771003294116, 80.99049989923837, 80.69513568343744, 80.39093812062919, 80.07783488735667, 79.75575079789319, 79.42460769803998, 79.08432435250697, 78.73481632543363, 78.37599585356865, 78.00777171158565, 77.63004906896386, 77.24272933781367, 76.84571001096732, 76.4388844895947, 76.02214189953295, 75.59536689544159, 75.15843945180958, 74.71123463974386, 74.25362238836367, 73.78546722950438, 73.30662802430224, 72.81695767008121, 72.31630278579595, 71.80450337409546, 71.2813924578591, 70.74679568881653, 70.20053092559043, 69.64240777819185, 69.07222711564748, 68.48978053303652, 67.89484977375943, 67.28720610233479, 66.66660962242148, 66.03280853406902, 65.3855383234012, 64.72452087701146, 64.04946351227412, 63.36005791352321, 62.65597896258664, 61.93688345044672, 61.20240865477677, 60.45217076571581, 59.68576313941098, 58.90275435548283, 58.10268605053391, 57.28507049497051, 56.44938787455223, 55.59508323097849, 54.721563007152305, 53.82819113212713, 52.91428456761879, 51.9791082216662, 51.02186911464922, 50.041709657218156, 49.03769986714424, 48.008828310478684, 46.95399149871584, 45.871981403747874, 44.761470660463964, 43.62099490463755, 42.44893152938647, 41.243473919629665, 40.002599914825076, 38.72403281687464, 37.4051926423118, 36.04313442102071, 34.634469014908724, 33.17525991582261, 31.660886350013666, 30.0858580028232, 28.679777495151534, 27.209286660619952, 25.93209182218601, 24.59739784987019, 23.436472670945854, 22.225403762050718, 21.170780894614033, 20.07220893937648, 19.114594678158284, 18.11829891626131, 17.24908482927586, 16.34570316681424, 15.556952112199523, 14.737927163709506, 14.022346577364985, 13.2798699187373, 12.630777917008183, 11.957734688590383, 11.36902260831191, 10.75893786254424, 10.225031642387632, 9.672019351972317, 9.187841390170837, 8.68655673677503, 8.24748939176887, 7.793084799270342, 7.3949364448758645, 6.983021779353737, 6.621996237764682, 6.2486036551841115, 5.921273870003217, 5.5828279383946855, 5.286114847605102, 4.979408741634119, 4.710566266361932, 4.432744825990923, 4.1893511600621665, 3.937900853230372, 3.717853596246852, 3.490596650299555, 3.292102871574457, 3.087186079099061, 2.9087278348424253, 2.724585560084842, 2.564835419046263, 2.4001003015873548, 2.257782768543083, 2.11114006733759, 1.9848911313458488, 1.8549311971961133, 1.7432408579753538, 1.6283980144555936, 1.5296645879864363, 1.4282729485634378, 1.3409134046540452, 1.2513224136124124, 1.1738688057605822, 1.0945453687837066, 1.0256988086139511, 0.9552851220700833, 0.8939335352668693, 0.8312663454709023, 0.7764826515846347, 0.7205911359451372, 0.6714573074313955, 0.6214178991095277, 0.5773041462246951, 0.532453042697437, 0.49295816806666154, 0.4528692769082834, 0.4178188035426396, 0.38229960518239414, 0.35194218387831366, 0.32122836731416426, 0.2971939017374767, 0.27603937333283, 0.2547658656078774, 0.23013383793427353, 0.20272280461509656, 0.17312043863321014, 0.14158641852265094, 0.10815643347604591, 0.07272158846299796, 0.035493851204579416, -0.0018302583950846648, -0.03290748078112751, -0.06401447520295876, -0.09098151242420878, -0.11777154600336896, -0.14422894526598112, -0.1665366303543169, -0.18845571333014527, -0.20983241146474124, -0.22823171265597816, -0.24602975763412127, -0.26309263441824055, -0.27930225946374965, -0.29453368263745155, -0.30720787712411335, -0.3189070150084919, -0.3295676686956606, -0.3392533641442253, -0.34806514273493866, -0.35524187116226186, -0.35950310007676933, -0.363006457652912, -0.36583608112073, -0.3679860528034099, -0.3691677185730266, -0.3691469625960263, -0.3676819152627241, -0.3645671174086668, -0.3598600306862888, -0.35373706578445024, -0.34633319391992395, -0.33778138961936016, -0.32820889742695797, -0.3177347745675404, -0.3064684985057283, -0.29450939500205675, -0.2819466544196673, -0.2688597392967582, -0.25531902881029234, -0.241386586483567, -0.2271169720121228, -0.21255804517361054, -0.1977517298784539, -0.18273472064422874, -0.16199724439834162, -0.13901724809696972, -0.11579824508088311, -0.09240196521053716, -0.06887914906071362, -0.04446207060085019, -0.01896273997179596, 0.007734017279655381, 0.03573614599309009, 0.06515061610801076, 0.09611296957234594, 0.12876277612413478, 0.16322124930535326, 0.19961909649079834, 0.23809653624085847, 0.27880407349579034, 0.32190312762080336, 0.36756649680721654, 0.41597858628871215, 0.46733530257742883, 0.5218434925314943, 0.5797197922706134, 0.6411887586662388, 0.7064802023379296, 0.7758257446523021, 0.8494547934147009, 0.9275903595491385, 1.0104453651399803, 1.098220221484126, 1.191102372801237, 1.2892681567026316, 1.3928868047567549, 1.502125896294336, 1.6171573004928568, 1.73816268973117, 1.8653380074584271, 1.9988966568088407, 2.1390714897581025, 2.286115853431787, 2.440303999150799, 2.6019311279639217, 2.771313280441434, 2.9487872099203587, 3.134710322458682, 3.329460726204989, 3.533437407622382, 3.7470605363574916, 3.970771893075009, 4.205035411071076, 4.450337821635912, 4.7071893938831995, 4.976124760848274, 5.2577038251215535, 5.552512738578263, 5.861164952297046, 6.18430233333913, 6.5225963464675525, 6.876749299243958, 7.24749564986155, 7.6356033772038, 8.041875413335374, 8.467151138471612, 8.91230793928516, 9.378262830878418, 9.865974143280038, 10.376443273362044, 10.910716502634358, 11.469886882016601, 12.055096183799874, 12.667536921563613, 13.308454438415266, 13.979149063638774, 14.680978337753434, 15.415359305851196, 16.183770878814677, 16.987756261978763, 17.828925450535603, 18.708957791204053, 19.629604610098173, 20.592691907050472, 21.600123118358102, 22.653881950686614, 23.756035294109125, 24.90873622488588, 26.11422711837103, 27.374842902122293, 28.693014499137362, 30.071272536616238, 31.512251436650992, 32.99902357405298, 34.43600602586663, 35.82705954349678, 37.17550623024107, 38.484231636865275, 39.75576294473267, 40.99232979167915, 42.19591226316375, 43.368279235042124, 44.511019355323576, 45.62556633474714, 46.71321978383535, 47.775162526472634, 48.81247509772537, 49.82614797065831, 50.81709193591514, 51.78614696693753, 52.73408983466552, 53.66164068259932, 54.569468732088346, 55.458197255669965, 56.32840793104401, 57.18064466823838, 58.015416986510395, 58.833203004643075, 59.63445209786048, 60.419587266083965, 61.18900725128553, 61.94308843595633, 62.68218654995754, 63.406638209069925, 64.11676230525374, 64.8128612658613, 65.49522219670538, 66.16411792191212, 66.81980793180652, 67.46253924864777, 68.0925472188079, 68.71005623893522, 69.31528042274174, 69.90842421427004, 70.48968295282074, 71.05924339413305, 71.61728419189978, 72.16397634325095, 72.69948360145001, 73.2239628587027, 73.73756450167757, 74.24043274207072, 74.7327059243131, 75.21451681230951, 75.68599285691613, 76.14725644569674, 76.59842513635427, 77.03961187510255, 77.47092520112773, 77.89246943818354, 78.30434487427256, 78.70664793028031, 79.09947131835473, 79.48290419075421, 79.85703227982759, 80.22193802973229, 80.57770072044806, 80.92439658459708, 81.26209891754037, 81.59087818118344, 81.9108021018885, 82.2219357628608, 82.5243416913474, 82.81807994096125, 83.10320816941902, 83.37978171195984, 83.64785365069243, 83.90747488009876, 84.1586941689065, 84.4015582185265, 84.63611171823757, 84.86239739728715, 85.08045607406456, 85.29032670249245, 85.49204641577117, 85.68565056760136, 85.87117277100077, 86.04864493482343, 86.21809729808092, 86.37955846215858, 86.53305542101242, 86.6786135894263, 86.81625682940299, 86.9460074747566, 87.06788635396957, 87.18191281137112, 87.28810472669052, 87.38647853303333, 87.47704923332458, 87.55983041525917, 87.63483426479524, 87.7020715782237, 87.76155177284163, 87.81328289625611, 87.85727163433971, 87.89352331785676, 87.9220419277761, 87.94283009928282, 87.95588912449834, 87.96121895391579, 87.9588181965535, 87.94868411882797, 87.93081264214351, 87.9051983391933, 87.87183442896355, 87.83071277042961, 87.78182385492924, 87.72515679719615, 87.66069932503228, 87.58843776759561, 87.50835704227559, 87.42044064012529, 87.32467060981607, 87.22102754007602, 87.10949054057015, 86.99003722117548, 86.8626436696006, 86.72728442729404, 86.58393246358098, 86.43255914796312, 86.27313422051067, 86.10562576026969, 85.93000015160216, 85.74622204836876, 85.55425433585866, 85.35405809036148, 85.14559253626979, 84.9288150005914, 84.70368086474107, 84.47014351347154, 84.22815428079318, 83.97766239271942, 83.71861490666272, 83.45095664729205, 83.17463013864825, 82.88957553229746, 82.59573053128489, 82.29303030963332, 81.98140742710841, 81.66079173895187, 81.33111030025796, 80.99228726464189, 80.64424377681966, 80.28689785868602, 79.920164288442, 79.5439544722843, 79.15817630812619, 78.76273404077172, 78.35752810791352, 77.94245497626605, 77.51740696708316, 77.08227207023715, 76.636933745959, 76.18127071325124, 75.71515672388827, 75.23846032081066, 74.75104457959823, 74.25276683157195, 73.7434783669223, 73.22302411609114, 72.69124230744224, 72.14796409903897, 71.59301318210298, 71.02620535345068, 70.44734805389007, 69.85623986920285, 69.25266998992923, 68.63641762570737, 68.00725136938556, 67.36492850551323, 66.70919425711057, 66.03978096380204, 65.3564071834556, 64.6587767083724, 63.94657748579394, 63.21948043100024, 62.47713811951767, 61.7191833428923, 60.94522751004245, 60.15485887330886, 59.347640554869436, 58.52310834505427, 57.68076823913137, 56.82009367313247, 55.94052241200417, 55.04145303447527, 54.12224094811418, 53.18219385456584, 52.220566568200276, 51.23655507043611, 50.22928965557835, 49.19782699045451, 48.14114086717339, 47.05811137285004, 45.94751212781308, 44.80799514856613, 43.638072764979206, 42.43609585038284, 41.200227390188445, 39.928410092200835, 38.61832628874167, 37.26734773337083, 35.87247195268238, 34.43024041326816, 32.93663163408078, 31.386919049538307, 29.77547808235006, 28.35770091970281, 26.87500495995997, 25.588161981796762, 24.24421678708426, 23.07616029102884, 21.858366341114156, 20.798733107660837, 19.695564476777676, 18.734728325247907, 17.735628555771918, 16.864699693697876, 15.960022703623167, 15.170825709342564, 14.351773774739325, 13.636814599807003, 12.895376298720498, 12.247803501855353, 11.57669343620104, 10.99025707285282, 10.382858574075062, 9.8518690598951, 9.302180715730426, 8.821469316596158, 8.324055965412535, 7.888938198271116, 7.438886982167538, 7.045130041384078, 6.638012151175139, 6.281807396077824, 5.913646202905645, 5.591587541882871, 5.258833689736072, 4.9679018838543465, 4.667415113800687, 4.404965591099804, 4.134000539180777, 3.897746781630252, 3.6539342274043247, 3.441909947354226, 3.2232158427799633, 3.033693470355218, 2.8383323868766586, 2.669690512601537, 2.495986200567545, 2.34656495968802, 2.1927988559819367, 2.060820313185079, 1.9251479351380323, 1.8087449779948865, 1.6892253783194477, 1.5865429597708316, 1.4812442200521956, 1.3905434689117795, 1.2976521706708453, 1.2173768943708114, 1.135268737581099, 1.0640718036578, 0.991339954927604, 0.9280838730467764, 0.8635396442561452, 0.8072250690274145, 0.7498428081916293, 0.6995515825471429, 0.6483915563444735, 0.6035661590610971, 0.5580368913555236, 0.5183064692305154, 0.47801378030024255, 0.44327577176127847, 0.4080986063890839, 0.37879392123954353, 0.3525784307457658, 0.3306489118071545, 0.30853929698603527, 0.28577808430049895, 0.2600131694313315, 0.23216105374535467, 0.20276663100014033, 0.17216564660271402, 0.14056592709975932, 0.10808220777568812, 0.07475230436892877, 0.040554917906529014, 0.005485075460629062, -0.030117625313080914, -0.06562798804894976, -0.09511640833486228, -0.12446326654549103, -0.1494183689765823, -0.17404108589322406, -0.19539900391349763, -0.2162764019486124, -0.23650488077353327, -0.2532013680108896, -0.26924873355699797, -0.28449519174750254, -0.29726482097142787, -0.3092228284773966, -0.32025918299049777, -0.3302752829496593, -0.3391739255003447, -0.3468628366544694, -0.3532586189655906, -0.3582908140602367, -0.36195754114194284, -0.3637436318657938, -0.3646510433644206, -0.3646657673002086, -0.36376242133474085, -0.3618261238890582, -0.3587443489942503, -0.35439732251060696, -0.3486407825156876, -0.34131040670727786, -0.3323185351439397, -0.321932220554502, -0.31046651175001205, -0.29804800614187626, -0.2847950910902405, -0.272357111619316, -0.25941207082367657, -0.24602371467982312, -0.23224944948666987, -0.2181406821218726, -0.20374324387435674, -0.1913015689105259, -0.1787030066927456, -0.16596773168001253, -0.15011575685399728, -0.1310841549589869, -0.10835083802590313, -0.08262876499485611, -0.0563050061028168, -0.029762299852714127, -0.002638206290344405, 0.025348884371291014, 0.05439714731327512, 0.08466554472932779, 0.11632154563859262, 0.14953014855555075, 0.1844254055873166, 0.22114681682607887, 0.25984059508615087, 0.30066123752350865, 0.34377265152672504, 0.38934891591871723, 0.4375746498792878, 0.4886449038624145, 0.5427644425536421, 0.6001462648272505, 0.661009215085215, 0.7255746084594135, 0.7940619464042049, 0.8666840515558485, 0.9436422706732788, 1.0251226793307506, 1.1112943057678362, 1.202310121086312, 1.2983109131248278, 1.3994313904873779, 1.505807302275516, 1.6175822596198675, 1.7349132893936294, 1.8579746995388313, 1.986960323409595, 2.1220844952020377, 2.263582189625042, 2.411708709380297, 2.5667392024077795, 2.7289681885356836, 2.898709194627974, 3.0762945427971458, 3.2620753034412866, 3.4564214070722095, 3.6597219011594695, 3.8723853357796356, 4.0948402623065245, 4.327535831389212, 4.570942478744819, 4.825552689339697, 5.091881832955052, 5.3704690655202025, 5.661878292190891, 5.966699189300293, 6.28554828320763, 6.619070084760612, 6.967938278671071, 7.332856967648554, 7.714561971167247, 8.113822179322534, 8.531440962179708, 8.96825763503422, 9.425148980547316, 9.903030827984088, 10.402859690230326, 10.925634459186403, 11.47239815970289, 12.044239762346901, 12.642296054933452, 13.267753572472404, 13.921850584832006, 14.605879141586682, 15.32118717216565, 16.069180639995853, 16.851325748203678, 17.669151194389755, 18.52425047103272, 19.41828420870275, 20.352982557623537, 21.330147604010268, 22.351655818108384, 23.419460530246244, 24.53559443549607, 25.702172127664827, 26.921392671767272, 28.1955422306504, 29.526996775408282, 30.918224932364993, 32.371791050277324, 33.874922077133405, 35.32689861246587, 36.731721069127666, 38.09282898346984, 39.41320774106049, 40.69547022400415, 41.94192027404276, 43.15460272251924, 44.335343331148586, 45.485781041827806, 46.607394284732884, 47.701522640170175, 48.76938482693763, 49.81209375688591, 50.83066922467028, 51.82604867503646, 52.799096394902804, 53.750611405331234, 54.68133427314371, 55.5919530191106, 56.483108266193774, 57.35539774500122, 58.20938025272404, 59.045579145140096, 59.86448542784546, 60.6665605020078, 61.45223861108664, 62.221929027717124, 62.97601801398556, 63.7148705833859, 64.43883208863825, 65.14822965611975, 65.84337348477744, 66.52455802496844, 67.19206305061888, 67.84615463635161, 68.48708604974746, 69.11509856763502, 69.73042222421417, 70.33327649788151, 70.92387094281571, 71.50240577068021, 72.06907238719194, 72.62405388777519, 73.16752551605664, 73.69965508855327, 74.22060338854969, 74.73052453184921, 75.22956630680775, 75.71787049081688, 76.1955731451871, 76.66280489019186, 77.11969116186336, 77.56635245197985, 78.00290453255066, 78.42945866598356, 78.84612180201256, 79.25299676236708, 79.65018241407701, 80.03777383223034, 80.41586245292932, 80.78453621712843, 81.1438797059793, 81.49397426825695, 81.83489814039345, 82.16672655960387, 82.48953187054947, 82.80338362594834, 83.10834868151174, 83.40449128555494, 83.69187316360386, 83.97055359829598, 84.24058950484968, 84.50203550235689, 84.75494398113469, 84.99936516635367, 85.23534717814589, 85.46293608837927, 85.68217597427308, 85.89310896901515, 86.09577530953123, 86.290213381545, 86.47645976205804, 86.65454925936962, 86.82451495074702, 86.98638821784996, 87.14019878000455, 87.28597472541537, 87.42374254039778, 87.55352713670655, 87.67535187703068, 87.78923859871938, 87.89520763579863, 87.99327783933342, 88.08346659618526, 88.16578984621141, 88.24026209794704, 88.30689644280824, 88.36570456784996, 88.4166967671085, 88.45988195155617, 88.49526765769085, 88.52286005478078, 88.54266395078139, 88.55468279693804, 88.55891869108484, 88.5553723796479, 88.5440432583571, 88.52492937166797, 88.49802741089289, 88.46333271103664, 88.42083924632952, 88.37053962444739, 88.31242507940523, 88.24648546310792, 88.17270923553819, 88.09108345355924, 88.0015937583046, 87.90422436112672, 87.79895802806953, 87.68577606282842, 87.56465828815594, 87.43558302566834, 87.29852707400245, 87.15346568526957, 87.00037253974644, 86.83921971873971, 86.66997767555382, 86.49261520448749, 86.30709940777687, 86.11339566039791, 85.91146757263247, 85.70127695029662, 85.4827837525201, 85.25594604695856, 85.02071996231012, 84.77705963799907, 84.52491717087683, 84.2642425587814, 83.99498364078175, 83.71708603392139, 83.4304930662606, 83.13514570600039, 82.83098248645506, 82.51793942662009, 82.19594994706347, 81.86494478084452, 81.52485187914148, 81.17559631124159, 80.81710015851887, 80.44928240199312, 80.07205880302793, 79.68534177668815, 79.2890402572343, 78.8830595551853, 78.46730120532926, 78.04166280500586, 77.60603784192041, 77.16031551068103, 76.70438051717235, 76.23811286979429, 75.76138765649821, 75.27407480644692, 74.77603883500586, 74.26713857063955, 73.74722686213893, 73.21615026443693, 72.67374870108182, 72.11985510122517, 71.55429500874148, 70.97688616082453, 70.38743803309792, 69.78575134792624, 69.1716175422141, 68.5448181905246, 67.90512437882526, 67.25229602357003, 66.58608113013531, 65.90621498382951, 65.21241926577275, 64.50440108486984, 63.781851915850346, 63.044446431887316, 62.2918412185926, 61.523673354168785, 60.73955883811212, 59.93909084803251, 59.12183780078525, 58.28734119007712, 57.43511316786216, 56.564633830988654, 55.67534816745375, 54.76666260795139, 53.837941117758646, 52.88850075087007, 51.91760657197019, 50.92446583142428, 49.90822125275755, 48.86794325946034, 47.802620926199104, 46.71115138561175, 45.59232735163605, 44.44482232789106, 43.26717294665765, 42.057757718457324, 40.814771246505195, 39.536192648219746, 38.21974648783009, 36.86285389861291, 35.46257066357351, 34.0155076727683, 32.51772712349415, 30.964604630034092, 29.35064227151959, 27.92509479630622, 26.4351846972148, 25.143385029081, 23.794771232602116, 22.623815901727546, 21.40346431827079, 20.342658065412056, 19.238693636446683, 18.278129333320685, 17.279703009498867, 16.410254292345346, 15.507475143975135, 14.72076849524816, 13.904634928836249, 13.19301217842567, 12.455344822505364, 11.811821180213522, 11.14519906208554, 10.563420100320327, 9.961121257136334, 9.435321244242699, 8.891268656134631, 8.416232037350548, 7.924945650682621, 7.495973073938055, 7.052528595619669, 6.6654084132520985, 6.265403276737597, 5.916388428769404, 5.555914383863092, 5.241702094279269, 4.917321354666751, 4.635027987388124, 4.343744616097951, 4.090860413315708, 3.830070803473589, 3.6043746094484654, 3.371776407779209, 3.1712032303596587, 2.9646557030401595, 2.787149525384224, 2.6045194791968473, 2.4479408352670893, 2.287006109442089, 2.1491429774839994, 2.0076034603460973, 1.8862629597076404, 1.7618359028611703, 1.6549517222516037, 1.545484112380976, 1.4511922529637333, 1.3547406538348319, 1.2714133247263881, 1.1862799562145827, 1.11252889029382, 1.0372652718477802, 0.9719297401183724, 0.9053237120231621, 0.8472459378534546, 0.788136336599841, 0.7365440428221467, 0.6841137811273892, 0.6384594215535232, 0.5921308533887686, 0.5520874472996289, 0.5115102439768108, 0.47709501245804425, 0.44226789285657975, 0.4143510083627546, 0.3905940241689013, 0.36664208533648995, 0.34255912064929034, 0.31624154743904903, 0.2878715196341157, 0.25807271055379527, 0.22726337958242757, 0.19573624274534296, 0.16370272010433967, 0.131316184982408, 0.09868497168408735, 0.06587992187995693, 0.03293933606751642, -0.00012484455942577124, -0.03330897328595139, -0.066552569745889, -0.09961225027603848, -0.13235247756898402, -0.15926522351714487, -0.18582444848513627, -0.20792442797546928, -0.22951176064959483, -0.2477252922978227, -0.26530042207029325, -0.2802306380052853, -0.2944258338753492, -0.3077320896890127, -0.3183924566050604, -0.32821329645464015, -0.33707751572012945, -0.3448841205497375, -0.35081140867834787, -0.35577067606410123, -0.35969917823704434, -0.3625411432352685, -0.3642499490716501, -0.364789665670479, -0.3639915199732656, -0.36248298880102203, -0.36019710984421544, -0.3571178198184739, -0.3530862290380328, -0.348060886523496, -0.34198824722949134, -0.33478782158123677, -0.32633860655738806, -0.3164572475950412, -0.3048823903966872, -0.2914381242158132, -0.27684439776693265, -0.26299786563607674, -0.24855855986196523, -0.23360342330130604, -0.2182025085645601, -0.20453136627609533, -0.1906096427122779, -0.17849579250964584, -0.1662416586634821, -0.15386479198796102, -0.13964585436806176, -0.123155011714913, -0.10431518168626253, -0.08284304337942673, -0.058408542300254836, -0.03119616751311635, -0.0024343206830647343, 0.026990564636608844, 0.0570575102593721, 0.0879810026071276, 0.11997028443311343, 0.15326707216358765, 0.1880352372067082, 0.22443176178440719, 0.2626133997975557, 0.30274045659322685, 0.34497932704380996, 0.3895041753006509, 0.43649791834986634, 0.4861525237481941, 0.538668530052954, 0.5942536337792385, 0.6531201691695688, 0.7154813653300981, 0.7815464395858089, 0.8515149035582038, 0.9255708908693239, 1.0038787240669045, 1.0865810734885175, 1.1738006775520582, 1.2656456783409782, 1.3622175347566603, 1.4636197644111169, 1.5699657830448506, 1.681384739549557, 1.7980250587639188, 1.9200560159200333, 2.04766793812373, 2.181071626781197, 2.3204974585311575, 2.4661944596215535, 2.618429514683223, 2.777486779506332, 2.943667313655893, 3.1172889208555374, 3.298686173833717, 3.488210597384975, 3.686230985416699, 3.89313383096086, 4.109323852225423, 4.335224601175529, 4.571279144351045, 4.8179508080568345, 5.075723982258083, 5.345104978929291, 5.626622941996476, 5.920830806906365, 6.228306308508167, 6.549653036659496, 6.885501539290576, 7.236510472874362, 7.603367800635874, 7.98679203884219, 8.387533551753659, 8.806375895623017, 9.244137212341126, 9.701671673341147, 10.179870973603055, 10.679665876779248, 11.202027810816805, 11.74797051425642, 12.318551732670572, 12.914874964799834, 13.538091256577065, 14.189401042428006, 14.870056031051494, 15.581361133454173, 16.324676430127656, 17.1014191730789, 17.91306581826684, 18.76115408303556, 19.647285021905503, 20.573125113634894, 21.540408351491433, 22.550938327686644, 23.60659030361246, 24.709313255707574, 25.861131889971183, 27.06414861880324, 28.320545499236534, 29.632586139432018, 31.002617594264752, 32.4330722917781, 33.92647006917168, 35.38566906311707, 36.79620216278596, 38.16170760899205, 39.48533414225929, 40.7698305248012, 42.017614807946174, 43.230828715342646, 44.41138089961754, 45.5609817532671, 46.68117171981933, 47.773344540248296, 48.838766507900054, 49.87859254509202, 50.89387972480554, 51.88559872063628, 52.85464356322739, 53.80184000200928, 54.72795271036855, 55.63369152551412, 56.5197168778174, 57.386644535746306, 58.23504976983036, 59.065471021010026, 59.87841314420574, 60.674350286211094, 61.45372844747944, 62.216967769575845, 62.96446458365674, 63.69659325004366, 64.41370781455828, 65.1161435036183, 65.80421807701778, 66.47823305472949, 67.13847483188042, 67.78521569419811, 68.41871474464736, 69.0392187506293, 69.646962919959, 70.24217161284493, 70.82505899623706, 71.39582964616848, 71.95467910307327, 72.50179438450402, 73.037354459184, 73.56153068590353, 74.07448722039504, 74.57638139299392, 75.06736405960254, 75.54757992821914, 76.0171678630687, 76.4762611681714, 76.92498785200758, 77.36347087477978, 77.79182837963138, 78.21017390905558, 78.61861660761606, 79.01726141199936, 79.40620922932912, 79.78555710459041, 80.15539837793885, 80.51582283260423, 80.866916834037, 81.20876346089359, 81.54144262840629, 81.86503120464008, 82.17960312009748, 82.48522947109707, 82.78197861731643, 83.06991627386122, 83.34910559819332, 83.61960727222605, 83.88147957987107, 84.13477848030003, 84.37955767716493, 84.61586868400262, 84.84376088603265, 85.06328159854279, 85.27447612204101, 85.47738779434229, 85.67205803974376, 85.85852641543265, 86.03683065526047, 86.20700671100711, 86.36908879124994, 86.52310939794485, 86.66909936081792, 86.80708786965997, 86.93710250460856, 87.05916926449679, 87.17331259334145, 87.27955540503767, 87.37791910632254, 87.46842361806453, 87.55108739493114, 87.62592744348265, 87.69295933873605, 87.75219723923851, 87.80365390068619, 87.84734068812108, 87.88326758673377, 87.91144321129771, 87.9318748142569, 87.94456829248523, 87.94952819273335, 87.94675771577512, 87.93625871926326, 87.91803171930029, 87.89207589072842, 87.85838906613856, 87.81696773359612, 87.76780703307794, 87.71090075161224, 87.64624131710939, 87.57381979086973, 87.49362585875039, 87.40564782096976, 87.30987258052626, 87.206285630203, 87.09487103812758, 86.97561143185209, 86.84848798091458, 86.7134803778394, 86.57056681752958, 86.41972397500004, 86.26092698139554, 86.09414939823274, 85.91936318980038, 85.73653869364585, 85.54564458907107, 85.34664786355391, 85.13951377700475, 84.92420582376108, 84.70068569221475, 84.4689132219589, 84.22884635833252, 83.98044110423112, 83.7236514690416, 83.45842941454937, 83.18472479765236, 82.90248530970514, 82.61165641230153, 82.31218126928964, 82.00400067479622, 81.68705297702009, 81.36127399753458, 81.02659694581791, 80.68295232870733, 80.33026785444798, 79.96846833097923, 79.59747555807178, 79.21720821289517, 78.82758172855938, 78.42850816513376, 78.01989607260319, 77.60165034517183, 77.1736720662725, 76.735858343579, 76.28810213325434, 75.830292052594, 75.36231218014325, 74.88404184227666, 74.39535538512877, 73.8961219306515, 73.38620511545003, 72.86546281090735, 72.33374682295134, 71.79090256964022, 71.23676873454333, 70.67117689366901, 70.09395111343618, 69.50490751689794, 68.9038538150973, 68.29058880006113, 67.66490179551248, 67.02657206089297, 66.37536814372696, 65.71104717471529, 65.03335409920301, 64.34202083780637, 63.63676536798627, 62.91729071719481, 62.18328385686597, 61.43441448493246, 60.67033368268303, 59.89067242957003, 59.09503995696416, 58.283021918746314, 57.45417835291231, 56.60804140391068, 55.74411277005918, 54.86186083387385, 53.96071742521063, 53.040074157401385, 52.099278264590936, 51.1376278536348, 50.154366465386545, 49.14867681691453, 48.11967356669748, 47.06639490720702, 45.987792740829946, 44.88272113212977, 43.749922646854884, 42.58801207857935, 41.39545691695844, 40.17055371206119, 38.911399214551075, 37.61585478764399, 36.2815020415748, 34.9055868528388, 33.484947767161444, 32.01592303001397, 30.494227773144175, 28.914788563540267, 27.479617041154214, 25.98179455617855, 24.684974644678913, 23.331218478238245, 22.15733666470413, 20.934087989242155, 19.872140009445076, 18.767170484362527, 17.806981895178684, 16.80914714985629, 15.941366480839347, 15.040530759820212, 14.25659830014534, 13.443560108820726, 12.735668207068514, 12.002089536211756, 11.363139730950785, 10.701480411767555, 10.125040989292136, 9.528499324739833, 9.00876576044638, 8.471226249857343, 8.002985982111573, 7.518974436756935, 7.0975759651177155, 6.662221118018414, 6.283544652811199, 5.892542679088738, 5.552964578711787, 5.202537889385783, 4.898874360204519, 4.585709201438158, 4.315121527900174, 4.036265970506676, 3.796122153316021, 3.54883963720126, 3.336563005953307, 3.118173704644432, 2.9311430075139002, 2.7389197573567334, 2.5744694179141936, 2.4056379525661633, 2.2611432010346086, 2.112970553391532, 1.9859566264134403, 1.85586489957548, 1.7440893993757274, 1.6297420325710208, 1.5312346346610337, 1.4305782783622054, 1.3436461541356823, 1.2549164566135886, 1.1781305054593216, 1.0998373700027966, 1.03188144755156, 0.9626867654074938, 0.9024765200273541, 0.8412595785495939, 0.7880631216218329, 0.7340526675432495, 0.6873483230683692, 0.6399939597950443, 0.5995406095714819, 0.5585780117849535, 0.5246567226311533, 0.49421879873151525, 0.4682245744763618, 0.44201651928943014, 0.4156645471421961, 0.38772079730256315, 0.35765655856540307, 0.3261602378908325, 0.2937104589202932, 0.26065017085384173, 0.22723628114822927, 0.19362460146943303, 0.15982613843558136, 0.12585605373898648, 0.09173485399356522, 0.05748995068227396, 0.023157718974491356, -0.011213766684911943, -0.04556107365144259, -0.07980048697721628, -0.1103852518577481, -0.1406893262973797, -0.17057757950049773, -0.19696662930466896, -0.22276512392680356, -0.2437997628627356, -0.2641813122984376, -0.28074177109184784, -0.2965500496744704, -0.3094988198145321, -0.32162066774165704, -0.3315456192891836, -0.340593883301483, -0.3486314840442108, -0.3546747056461728, -0.3597973281052093, -0.3639082755832131, -0.3669269244544087, -0.36863052140487773, -0.36936276300072607, -0.3690811637341543, -0.36775145672585596, -0.3653492601364052, -0.36167073084630497, -0.3579778088227043, -0.35351071368163717, -0.34832076302086107, -0.3424252579431073, -0.3357134797020114, -0.3281054701663757, -0.31955427959810095, -0.3099796715387551, -0.2992534375197174, -0.2871703680460077, -0.27339177462202957, -0.2574336606826001, -0.23986910711165224, -0.22442388966803342, -0.2085329540669615, -0.19419849429322825, -0.17960453529412498, -0.16736134860604246, -0.15498336873787075, -0.14248754880744666, -0.12868001273997515, -0.11295378410344557, -0.09538590155727297, -0.07589044038191341, -0.054279413817683475, -0.030296874755428596, -0.003735312923734414, 0.025251970652533238, 0.05595510309524978, 0.0877056495831887, 0.12033048183496033, 0.1539656822552232, 0.1888204000489811, 0.2250731419789196, 0.26289801665219875, 0.30246724555459015, 0.34395462667397886, 0.3875382487422745, 0.43340233362355923, 0.4817381705684761, 0.5327440619606303, 0.586624120087333, 0.6435857081220174, 0.7038353587413401, 0.76757319414256, 0.8349862672061575, 0.9062418284001829, 0.9814821153470232, 1.0608224850767116, 1.1443541651795024, 1.2321515563114809, 1.3242824619249145, 1.420818742030308, 1.5218451516000857, 1.627465202555503, 1.737804045697815, 1.8530090809035438, 1.9732491923602271, 2.0987133634361084, 2.229609174953429, 2.366161463275608, 2.508611256217433, 2.6572150121572, 2.812244141701356, 2.9739847734873366, 3.1427377227156925, 3.3188186249651017, 3.5025582038950267, 3.6943026479486827, 3.894414076834031, 4.103271083239806, 4.321269338996926, 4.548822257812732, 4.786361708845005, 5.034338777226207, 5.293224568630046, 5.563511056217212, 5.845711968704129, 6.140363719086776, 6.448026373768714, 6.76928466210696, 7.104749026681104, 7.455056714627427, 7.820872910501034, 8.202891911152335, 8.601838342988186, 9.018468422120538, 9.453571257679414, 9.90797019841021, 10.382524222631185, 10.878129371369191, 11.395720224205183, 11.93627141707217, 12.500799201092526, 13.0903630406629, 13.706067249110196, 14.349062659265876, 15.020548325777057, 15.721773255292055, 16.454038159854075, 17.218697227921712, 18.017159905807596, 18.850892682473564, 19.721420867735812, 20.630330353477767, 21.57926934559448, 22.569950053349206, 23.60415032003289, 24.683715179026525, 25.81055831717106, 26.98666342697539, 28.21408543172344, 29.494951568535196, 30.831462322691117, 32.225892218220196, 33.680590492291756, 35.12159012335317, 36.513473799783775, 37.85997619146514, 39.16432331729834, 40.42932658624183, 41.65745535094196, 42.850893723110225, 44.011585658720854, 45.14127116306519, 46.2415156784211, 47.31373417126792, 48.35921105079051, 49.379116774193115, 50.37452179333969, 51.34640834900117, 52.29568050831196, 53.22317275746397, 54.129657397890746, 55.01585094505269, 55.88241969072388, 56.72998455971895, 57.55912536831729, 58.370384572787145, 59.16427058129472, 59.94126069028339, 60.70180369650201, 61.4463222277705, 62.175214828926414, 62.8888578339114, 63.587607050405765, 64.27179927962707, 64.94175369073308, 65.59777306659946, 66.24014493548945, 66.86914260122192, 67.4850260828202, 68.08804297323701, 68.6784292255632, 69.25640987410709, 69.82219969685185, 70.37600382503773, 70.91801830495618, 71.44843061647046, 71.96742015227665, 72.47515866148316, 72.9718106607037, 73.45753381552251, 73.93247929489611, 74.39679210079291, 74.85061137514376, 75.29407068597033, 75.72729829437777, 76.15041740393713, 76.56354639383804, 76.9667990370657, 77.36028470473974, 77.74410855765105, 78.11837172593994, 78.48317147777603, 78.83860137782622, 79.18475143622886, 79.52170824873323, 79.84955512860617, 80.16837223086058, 80.47823666931326, 80.77922262693993, 81.07140145995758, 81.3548417960305, 81.62960962696543, 81.89576839623318, 82.15337908162789, 82.40250027335233, 82.64318824779504, 82.87549703724613, 83.0994784957797, 83.31518236151473, 83.5226563154501, 83.72194603705624, 83.91309525679122, 84.0961458056991, 84.27113766223486, 84.43810899645167, 84.59709621167521, 84.74813398378237, 84.89125529819133, 85.02649148466385, 85.15387225001304, 85.27342570880224, 85.38517841211541, 85.48915537447267, 85.58538009895986, 85.67387460063424, 85.75465942826557, 85.82775368446526, 85.89317504425283, 85.95093977210436, 86.00106273752368, 86.04355742917319, 86.07843596759751, 86.1057091165696, 86.12538629308551, 86.1374755760308, 86.14198371353848, 86.13891612905492, 86.12827692612723, 86.1100688919233, 86.08429349949131, 86.05095090876402, 86.01003996630955, 85.96155820382768, 85.90550183538747, 85.8418657533995, 85.77064352331325, 85.69182737702621, 85.6054082049895, 85.51137554699051, 85.4097175815911, 85.3004211141953, 85.18347156371797, 85.05885294782242, 84.92654786669006, 84.78653748528333, 84.63880151405733, 84.48331818807186, 84.3200642444524, 84.14901489814149, 83.97014381587931, 83.78342308834557, 83.5888232003897, 83.38631299927057, 83.17585966082044, 82.9574286534406, 82.73098369982995, 82.49648673633914, 82.25389786983447, 82.0031753319481, 81.7442754305792, 81.47715249850252, 81.20175883892807, 80.91804466784421, 80.62595805296276, 80.32544484907123, 80.0164486295807, 79.69891061404208, 79.37276959138427, 79.03796183860868, 78.69442103465185, 78.34207816910478, 77.98086144545137, 77.61069617845975, 77.23150468532931, 76.84320617016151, 76.44571660128557, 76.03894858092782, 75.62281120666842, 75.19720992407787, 74.76204636987134, 74.31721820485512, 73.8626189358726, 73.39813772588028, 72.92365919119983, 72.4390631848983, 71.94422456514256, 71.43901294725735, 70.92329243808403, 70.39692135109007, 69.85975190051217, 69.31162987263009, 68.75239427205673, 68.18187694069171, 67.59990214671471, 67.00628614068958, 66.40083667549864, 65.78335248642995, 65.15362272728355, 64.51142635784018, 63.856531477435, 63.18869459868678, 62.507659854630845, 61.81315813157723, 61.104906118933776, 60.3826052659746, 59.645940634057894, 58.89457963106372, 58.12817061277728, 57.346341333521956, 56.548697225469795, 55.734819482621624, 54.904262921330336, 54.056553584280536, 53.191186048831426, 52.30762039332077, 51.405278765987184, 50.48354149016095, 49.5417426257481, 48.579164890047736, 47.59503381962737, 46.58851102803201, 45.55868637976167, 44.50456885682014, 43.4250758369107, 42.319020427419076, 41.185096400172576, 40.02186013926961, 38.827708834499845, 37.60085390603257, 36.339288302126185, 35.04074582466712, 33.70264993559011, 32.322048465841746, 30.895529099124747, 29.41910811705202, 27.88808111566057, 26.47003643873536, 24.991704443401048, 23.713741329770382, 22.379848964771647, 21.22491503427226, 20.021621401632995, 18.978574821150392, 17.89349942751839, 16.95206969889544, 15.973966904919228, 15.124747036019608, 14.243424730127552, 13.477837974415444, 12.684080079199095, 11.994340307365713, 11.27983547476258, 10.658906226873432, 10.016183790815724, 9.457738722769315, 8.880111972183165, 8.37849681468334, 7.860011813632902, 7.410204135839985, 6.945588870149845, 6.543146311736436, 6.12774947774185, 5.768731317731525, 5.398434480374273, 5.079282299828405, 4.750370665530206, 4.467752449986304, 4.176749334977816, 3.927407569142475, 3.6709150582409724, 3.4515823459866826, 3.226193483331109, 3.0336110929218143, 2.8359291828378814, 2.666941733741285, 2.493678510966939, 2.3453433873687883, 2.193432613208821, 2.0630980111154926, 1.9297767510989237, 1.8151159553318894, 1.6979603575084954, 1.5969716621289525, 1.4938967064806756, 1.404884179636107, 1.314123062727125, 1.2355481904075913, 1.1555324519186374, 1.086076627888076, 1.0154490410538666, 0.9542150441029688, 0.8920317549015799, 0.8383492141403919, 0.7839061139485121, 0.7373905750987286, 0.6902758468774662, 0.651024992585544, 0.6154711465370298, 0.5843213354892189, 0.5594304653151221, 0.5343340827208184, 0.5061207746074547, 0.474696682978197, 0.4412109643715628, 0.4063864243511802, 0.37071729175161755, 0.3345651803346325, 0.2981810199292367, 0.26156910489239377, 0.22473624324155014, 0.18769249419781323, 0.15045213611677236, 0.11303494666259763, 0.07959946182574323, 0.04607036922377528, 0.012480593846435363, -0.021127017461022676, -0.05469667429823812, -0.08439704768777942, -0.11394502169438116, -0.14325709701762623, -0.17222634391871605, -0.20071516840961567, -0.22854563392821567, -0.2519088351202079, -0.2744491002498089, -0.2926378130090814, -0.30995080059374436, -0.32344746690028914, -0.3360292910800549, -0.34586031696581815, -0.3547416293427316, -0.36159677342805463, -0.3674895375701783, -0.37183936593136574, -0.3752276178754778, -0.3775564426084929, -0.3786552335085208, -0.37880676768517924, -0.3779521634860095, -0.3760390673730509, -0.3730224828422661, -0.3688669853517779, -0.36354876921908674, -0.35705732568500187, -0.3501701986394194, -0.3443163970664912, -0.3379283286100906, -0.33084049107338376, -0.3228939241051525, -0.3141347180318889, -0.3045569239577674, -0.294113940800022, -0.282720935351625, -0.2702428938552848, -0.25646199319043333, -0.24099622459904696, -0.2231264037874805, -0.20548983914473837, -0.18941275294759727, -0.17300832609426295, -0.15989926384563757, -0.14878891165193375, -0.1375853052184445, -0.12440115573812893, -0.10939990598689549, -0.0928082892002758, -0.0746743651605018, -0.054945333677078274, -0.03349471890135736, -0.010137338124747677, 0.015345126039463973, 0.043130320898716525, 0.07319295948414052, 0.10516675423693887, 0.13854859399624855, 0.17309066980570595, 0.20881623988404946, 0.2458487936942034, 0.28435061281144103, 0.324496125154757, 0.36646522810314197, 0.41044253736676967, 0.45661787907675166, 0.5051866093058373, 0.5563490197478782, 0.6103083707964854, 0.6672671985762159, 0.7274217105699501, 0.7909544728106807, 0.858026282424823, 0.928769005455905, 1.0032818049046475, 1.0816329112492071, 1.163867514950297, 1.2500200587804446, 1.3401275743574947, 1.434240784297725, 1.5324311981600782, 1.6347941868330769, 1.7414490942112084, 1.8525376836696805, 1.9682219544796844, 2.088681967615092, 2.214113991988485, 2.3447290726029237, 2.4807520123522098, 2.6224207132267225, 2.769985811186424, 2.923710543477382, 3.0838707971880464, 3.250755298852451, 3.424665914384405, 3.6059180367416275, 3.7948410445253113, 3.9917788196499657, 4.197090315453386, 4.411150169102104, 4.634349354351079, 4.867095871531498, 5.109815473121873, 5.36295242374666, 5.626970293881349, 5.902352787222352, 6.189604601624376, 6.489252323801684, 6.801845358272018, 7.127956890772953, 7.468184886798444, 7.823153125310867, 8.193512268484486, 8.579940967337745, 8.983147003756583, 9.403868468705511, 9.842874976788439, 10.30096891658055, 10.778986736393875, 11.277800264385862, 11.798318062014268, 12.341486809023865, 12.908292718112776, 13.49976297650459, 14.116967211084376, 14.761018973479631, 15.433077239804142, 16.13434791959088, 16.86608536680671, 17.629593884999757, 18.426229216700115, 19.257400005921326, 20.12456922056471, 21.029255519481627, 21.973034546543506, 22.9575401315692, 23.984465375127968, 25.05556359169646, 26.172649081980364, 27.337597703667985, 28.55234720713643, 29.818897302799105, 31.139309428521067, 32.515706192498406, 33.93538880827081, 35.30481489964818, 36.62796138921836, 37.90824594537468, 39.14863347503793, 40.351717607981406, 41.519784038250265, 42.65486045793725, 43.75875641830997, 44.83309551132434, 45.879341617666356, 46.898820514870096, 47.89273781703312, 48.86219398499028, 49.80819697534931, 50.73167297029376, 51.63347553507316, 52.51439347799297, 53.37515763242423, 54.21644673755333, 55.03889256117369, 55.843084381512064, 56.62957292421452, 57.39887383394162, 58.15147074661248, 58.88781801748092, 59.608343151386386, 60.313448974282984, 61.00351557919, 61.67890207477451, 62.33994816067549, 62.98697555025422, 63.62028925858017, 64.24017877104232, 64.84691910592716, 65.44077178256593, 66.02198570517403, 66.59079797123744, 67.1474346122162, 67.69211127339895, 68.22503383893651, 68.74639900738396, 69.2563948224732, 69.75520116331235, 70.2429901977448, 70.7199268022004, 71.18616895101547, 71.6418680778895, 72.08716941187129, 72.52221229002569, 72.94713044871874, 73.36205229526911, 73.76710116154413, 74.16239554093113, 74.54804930997753, 74.9241719358777, 75.290868670874, 75.6482407345458, 75.99638548487276, 76.3353965788834, 76.6653641236269, 76.98637481814606, 77.29851208707186, 77.60185620640694, 77.89648442202098, 78.18247106133757, 78.45988763865323, 78.72880295449606, 78.98928318939674, 79.24139199241971, 79.48519056477075, 79.7207377387778, 79.94809005251662, 80.16730182033292, 80.37842519949521, 80.58151025319367, 80.77660501008648, 80.96375552057896, 81.14300591000745, 81.31439842888877, 81.47797350038377, 81.63376976511196, 81.78182412344671, 81.92217177540911, 82.05484625827125, 82.1798794819713, 82.29730176243592, 82.40714185289836, 82.50942697329357, 82.60418283780697, 82.6914336806467, 82.77120228010425, 82.84350998096332, 82.90837671531261, 82.96582102181233, 83.01586006346156, 83.05850964390898, 83.09378422234481, 83.12169692700995, 83.14225956735248, 83.1554826448605, 83.16137536259608, 83.15994563345085, 83.15120008714347, 83.13514407597239, 83.11178167933878, 83.0811157070478, 83.04314770139545, 82.99787793804578, 82.9453054256987, 82.88542790454848, 82.81824184352654, 82.74374243632339, 82.66192359617921, 82.57277794942952, 82.47629682779133, 82.3724702593705, 82.26128695836798, 82.14273431346062, 82.0167983748283, 81.88346383979446, 81.742714037046, 81.59453090939259, 81.43889499502268, 81.27578540720909, 81.10517981241253, 80.92705440672782, 80.74138389061014, 80.5481414418175, 80.34729868649602, 80.13882566833209, 79.92269081568774, 79.69886090662753, 79.46730103174221, 79.22797455466213, 78.98084307014848, 78.72586635964065, 78.4630023441269, 78.19220703419883, 77.91343447713531, 77.62663670085234, 77.33176365454071, 77.02876314579994, 76.71758077406184, 76.39815986008033, 76.0704413712456, 75.73436384246182, 75.38986329230575, 75.03687313415939, 74.67532408198649, 74.3051440503912, 73.92625804856893, 73.5385880677249, 73.14205296149746, 72.73656831888485, 72.32204632912442, 71.89839563792906, 71.46552119442381, 71.02332408807037, 70.57170137479493, 70.11054589146046, 69.6397460577421, 69.15918566436774, 68.66874364658217, 68.16829384157867, 67.6577047285051, 67.13683914951028, 66.60555401012566, 66.06369995709329, 65.51112103153969, 64.94765429515503, 64.37312942676847, 63.78736828639911, 63.19018444351564, 62.581382665833644, 61.96075836452093, 61.32809699115824, 60.68317338119094, 60.02575103791261, 59.35558135020854, 58.6724027363478, 57.97593970501724, 57.26590182350986, 56.541982581479054, 55.80385813690384, 55.05118592882233, 54.28360313891557, 53.50072498107573, 52.70214279456656, 51.887421912147786, 51.05609926941904, 50.20768071543402, 49.34163797706256, 48.4574052202902, 47.55437514018287, 46.63189449700563, 45.689258998186844, 44.725707403400904, 43.74041470160538, 42.7324841724782, 41.70093809775285, 40.6447068267858, 39.56261582022011, 38.45337018856425, 37.315536098434315, 36.147518222792215, 34.94753213997788, 33.713570205149544, 32.44335887355198, 31.134304663509806, 29.783424771677996, 28.38725656681247, 26.941737401750885, 25.442041705291853, 24.11154959569761, 22.72297537309639, 21.52410830311366, 20.27377682174501, 19.1928225269578, 18.067441654150304, 17.093583991173038, 16.081206461091472, 15.204553094271802, 14.294392612413752, 13.505953565765871, 12.688302391438842, 11.979954495083215, 11.246107765272233, 10.61055353892153, 9.95273898843414, 9.383458778630512, 8.794766755190915, 8.28595671351616, 7.7602602339391735, 7.306742943974778, 6.83859255105671, 6.435687524523481, 6.020167119229, 5.663524400968747, 5.296071684692402, 4.981504616762712, 4.6577338771335555, 4.381112265720079, 4.096702350824624, 3.853948694291818, 3.6046388013328436, 3.3918126775215445, 3.173489379977937, 2.98690193315815, 2.7957172558591337, 2.632022251817785, 2.4644875965452737, 2.320727321724268, 2.17376066343865, 2.0473713682470343, 1.9183023475733478, 1.80709419836474, 1.69364246427173, 1.595768613506868, 1.496010482757209, 1.409615752258522, 1.3216941528657826, 1.2455476496328768, 1.1681584016523645, 1.101299027888174, 1.0334362610412078, 0.9751841735369389, 0.9161322295145622, 0.866193137123933, 0.8156290902429014, 0.7744926552881236, 0.7381903095216067, 0.708577599349631, 0.6787176920606751, 0.6468486116864108, 0.6112670678627604, 0.5733158215532295, 0.5338516622951209, 0.49345908652021986, 0.4525653719529171, 0.41139391425271543, 0.36994508681430194, 0.32822109235299907, 0.28622654232614086, 0.24396922356060616, 0.2060695778449977, 0.167982559877167, 0.12972489962064646, 0.09131924932706359, 0.057152313525932, 0.022920579982868578, -0.011339936948860617, -0.045582625215880294, -0.07556810336229229, -0.10544122003007535, -0.13513565735248917, -0.16456689128969537, -0.19027009413686902, -0.2155885517505006, -0.2404024556298188, -0.26455973369309105, -0.2878661067949147, -0.30744177852601395, -0.3259558763909836, -0.34084873612584843, -0.35460140322423384, -0.36474474126424683, -0.37378930691749873, -0.3803271086898801, -0.38578453846460586, -0.38948568985849896, -0.39213726808842714, -0.39350365732081094, -0.3938580509915956, -0.39310776321170526, -0.3915017516170949, -0.3889446927170826, -0.385384816551511, -0.3807740028189446, -0.3757629644612619, -0.3698666749704432, -0.36307013183659653, -0.35536566126001096, -0.34647105572352327, -0.33750314091954536, -0.3305040304916965, -0.32310189095949515, -0.31497994716578864, -0.3059348078662495, -0.29609181897752257, -0.2854856869034064, -0.274095021582296, -0.261858741093708, -0.24867466795258417, -0.23438198386876063, -0.21871011358459772, -0.2011196957854572, -0.1803428444322037, -0.16390085567623963, -0.14998257163285206, -0.137490788591829, -0.12489187123138153, -0.11047441562335629, -0.09450904091835859, -0.07721197320199259, -0.058639337147213255, -0.038758981400682235, -0.017478990551271122, 0.005339651874613127, 0.029874060001507895, 0.05632265384683011, 0.08486262483414511, 0.11556250137074449, 0.1482818265801936, 0.1827125379886069, 0.21860254651254163, 0.2558615690959376, 0.29453823949590807, 0.3347572858545267, 0.3766790412366282, 0.4204811771856859, 0.4663515873959883, 0.5144849059316362, 0.5650799546012271, 0.6183363803883962, 0.6744495266922782, 0.7336031255430219, 0.7959601387654704, 0.8616531981134902, 0.9307773667537463, 1.0033885462306298, 1.0795097394460431, 1.15914443537687, 1.24229324964361, 1.3289688988323003, 1.4192061894566834, 1.5130664037845656, 1.6106374063065267, 1.712031362620973, 1.8173816129653915, 1.9268396276141406, 2.0405724621236234, 2.158760819991242, 2.2815976799879043, 2.409287391766723, 2.542045137823858, 2.680096673170855, 2.8236782727016703, 2.973036833314577, 3.128430092190367, 3.290126933340334, 3.4584077628161167, 3.633564938660899, 3.815903245895672, 4.005740410030915, 4.203407644432725, 4.409250228601197, 4.623628115463062, 4.846916566437108, 5.0795068137094415, 5.321806749354504, 5.574241641514752, 5.8372548776145115, 6.111308735011534, 6.3968851795023145, 6.694486692002877, 7.004637123789066, 7.327882580748477, 7.664792336866048, 8.01595977713243, 8.382003370210064, 8.763567670437192, 9.161324349436287, 9.575973256590753, 10.008243507989537, 10.458894602934926, 10.928717566751162, 11.418536118327118, 11.929207860669115, 12.461625491540978, 13.016718031575499, 13.59545206595999, 14.198832995085555, 14.82790628911278, 15.483758739717045, 16.167519701664844, 16.880362315185398, 17.623504698421083, 18.39821109791292, 19.205792982283146, 20.04761006222645, 20.92507121748958, 21.839635307225823, 22.79281183772428, 23.786161456694693, 24.82129623875337, 25.89987972188289, 27.023626649196324, 28.194302364597554, 29.413721805441206, 30.683748031028426, 32.00629022326101, 33.34568401170316, 34.63755471416989, 35.88561157766259, 37.09304975395371, 38.26264678837125, 39.396836766448416, 40.497768168896044, 41.567349632560806, 42.60728658912452, 43.619110923825886, 44.604205223871396, 45.563822783707245, 46.49910424672786, 47.411091554419436, 48.30073972058672, 49.168926834148536, 50.01646260800918, 50.84409572606927, 51.65252019013183, 52.442380829426135, 53.21427810493178, 53.96877231659139, 54.70638730235631, 55.427613702683395, 56.132911851757484, 56.82271434670299, 57.49742833788878, 58.15743757673371, 58.80310425190683, 59.43477064024087, 60.052760594875046, 60.65738088995958, 61.248922438582916, 61.82766139832913, 62.39386017696436, 62.94776834913257, 63.48962349355521, 64.01965195905065, 64.53806956667046, 65.04508225437817, 65.54088666993793, 66.0256707170292, 66.49961405903315, 66.96288858444291, 67.41565883741612, 67.85808241661111, 68.29031034511482, 68.7124874139807, 69.12475250163334, 69.52723887117354, 69.92007444741327, 70.30338207529266, 70.67727976117179, 71.04188089834871, 71.39729447802962, 71.74362528686369, 72.08097409205484, 72.40943781497087, 72.72910969409142, 73.0400794380604, 73.3424333695446, 73.63625456054037, 73.921622959716, 74.19861551232847, 74.46730627321014, 74.72776651328108, 74.98006482000537, 75.22426719217621, 75.46043712938663, 75.68863571651362, 75.90892170351805, 76.12135158084018, 76.32597965065045, 76.52285809419483, 76.71203703545623, 76.89356460133702, 77.06748697855507, 77.23384846742815, 77.39269153271175, 77.54405685164268, 77.68798335932858, 77.82450829161648, 77.95366722556068, 78.07549411760473, 78.19002133958128, 78.297279712629, 78.39729853911591, 78.49010563265401, 78.57572734628391, 78.65418859890022, 78.72551289998596, 78.78972237271817, 78.84683777549995, 78.89687852197378, 78.93986269956392, 78.97580708659116, 79.00472716800247, 79.02663714975016, 79.04154997185621, 79.04947732019058, 79.05042963699056, 79.04441613014446, 79.03144478126188, 79.0115223525479, 78.98465439249377, 78.95084524040098, 78.91009802974399, 78.86241469038065, 78.80779594961491, 78.74624133211063, 78.67774915865881, 78.60231654379233, 78.51993939224236, 78.43061239422718, 78.3343290195618, 78.23108151057387, 78.12086087380767, 78.00365687049666, 77.8794580057799, 77.74825151663744, 77.61002335851322, 77.46475819059313, 77.31243935970186, 77.15304888277586, 76.98656742787193, 76.8129742936585, 76.63224738734075, 76.44436320095886, 76.24929678600057, 76.04702172625736, 75.83751010885268, 75.62073249336501, 75.39665787895798, 75.16525366942658, 74.92648563606235, 74.68031787822783, 74.4267127815272, 74.16563097344856, 73.89703127634311, 73.62087065759887, 73.33710417685138, 73.04568493006482, 72.74656399030181, 72.43969034498686, 72.12501082945084, 71.80247005653011, 71.47201034197059, 71.13357162537206, 70.78709138638071, 70.43250455581688, 70.06974342139736, 69.69873752768167, 69.3194135698405, 68.93169528080837, 68.53550331134356, 68.13075510247685, 67.71736474978044, 67.29524285883883, 66.8642963912417, 66.42442850035766, 65.9755383560739, 65.51752095760729, 65.05026693340253, 64.57366232703419, 64.08758836791837, 63.591921225512706, 63.08653174554576, 62.57128516665593, 62.04604081564499, 61.51065177934682, 60.964964550886855, 60.40881864784829, 59.842046199565445, 59.26447150043388, 58.6759105257377, 58.07617040606233, 57.46504885585258, 56.84233355109775, 56.20780145045537, 55.56121805334818, 54.90233658766854, 54.23089711867253, 53.54662556941704, 52.849232641650744, 52.13841262437263, 51.41384207526008, 50.67517835778897, 49.92205801402284, 49.15409494964838, 48.37087840374402, 47.571970670821536, 46.7569045366756, 45.925180382240484, 45.0762629006413, 44.20957736149311, 43.32450534265128, 42.42037983227559, 41.49647958219688, 40.552022565771885, 39.58615835777547, 38.5979592078029, 37.586409518497, 36.55039336057879, 35.488679550844545, 34.399903676474864, 33.282546253680515, 32.134905937758965, 30.955066319823622, 29.740854298063063, 28.48978721142578, 27.19900472940863, 25.86517966575865, 24.484399015977434, 23.052001873295918, 21.806709466347385, 20.50676100931848, 19.386916063089586, 18.219776558855532, 17.213345831159497, 16.166281874371396, 15.262914013881584, 14.324527488329398, 13.514854769561994, 12.674952878537935, 11.950549765366436, 11.200047213752327, 10.553360864721856, 9.884169761970915, 9.3084148228815, 8.713307614839644, 8.20231704354002, 7.674751220261208, 7.2227916520174, 6.756704087794794, 6.358295436090561, 5.94790699085203, 5.5977075471896764, 5.237399953293039, 4.930198337287974, 4.614503781010812, 4.3453032478126286, 4.06898977846314, 3.833127121620117, 3.5913197004533894, 3.3845626861803724, 3.172842160679365, 2.9914398852218467, 2.8058934960257575, 2.64658202600073, 2.4838077264269387, 2.343785926988371, 2.2008657617096676, 2.077757136335482, 1.9522159324103174, 1.8437605821672771, 1.73331291707955, 1.6377719664774435, 1.5406064482314579, 1.456693526729026, 1.371462583814382, 1.2982050464786627, 1.2238895985990914, 1.1607068761283157, 1.0966889907019173, 1.0436663583695438, 0.9957849179091445, 0.9540337987719038, 0.9208720289089849, 0.8875495327013538, 0.8492944756736321, 0.8068316510286557, 0.7617178304880879, 0.7149337398877587, 0.6671544747116186, 0.618876527401672, 0.5702484234076691, 0.521266275834551, 0.4719274945484849, 0.4222312677457757, 0.3721792084649645, 0.32810235645177477, 0.28376289860504944, 0.23917033095465914, 0.19433869513324087, 0.15500126316479348, 0.11551494816451954, 0.07590411935373186, 0.04039742934538253, 0.004846917421955841, -0.03070871106200866, -0.06231361450436117, -0.09383850794604075, -0.12522635758844097, -0.1529529992055366, -0.18045089194969946, -0.20763873980258318, -0.23155107739904549, -0.25504473211224665, -0.2780057326499261, -0.3002903018413545, -0.3190885326671336, -0.33707550950185594, -0.35405801640338935, -0.3697926037183478, -0.38225365161425107, -0.3933032440191981, -0.40105400946578623, -0.40745630482396306, -0.41144692706654795, -0.41418722798104146, -0.4153683046365979, -0.4153832277001827, -0.41434027260625267, -0.4122106269442658, -0.40932620375605133, -0.40542910658338255, -0.40045360053345747, -0.3952015746188057, -0.3890363743123185, -0.38192745957758273, -0.373844943392124, -0.3647667065565422, -0.3546798809449256, -0.3435821006654283, -0.3314823888436562, -0.3210612333105392, -0.3130966241230703, -0.3047692789451415, -0.2960359708509205, -0.2862383899602512, -0.27559149712375497, -0.2641828797679, -0.252022170456814, -0.2390728933955978, -0.2252615958716377, -0.2104726934961801, -0.19452062980481158, -0.17704838894114752, -0.15705840047085107, -0.14120751727516448, -0.1250189749536307, -0.10867109068126592, -0.09219189125846569, -0.07465045541912006, -0.056109706566231286, -0.03657006626232571, -0.0159709990559154, 0.005788089192802108, 0.028839626543427616, 0.05334368672118402, 0.07948215850214298, 0.10744406028730315, 0.13739144215128812, 0.16939909804239195, 0.20340088410698245, 0.239222706005052, 0.2766891925024736, 0.31571735203819135, 0.35633218653991167, 0.39863618193503736, 0.44277699026438855, 0.4889271131335683, 0.5372728009025165, 0.5880056796563526, 0.6413153897823689, 0.6973808285164478, 0.7563594139657005, 0.8183753578002001, 0.8835098919929514, 0.9517977929660055, 1.0232337362668353, 1.0977882317260828, 1.1754281882924604, 1.2561352600038898, 1.3399173773323043, 1.4268128681053964, 1.5168892916389658, 1.6102396803038497, 1.7069781796637602, 1.8072361408665216, 1.9111590402601888, 2.0189042398576866, 2.1306394584699717, 2.2465417930725238, 2.366797146973222, 2.4915999514690355, 2.621153097168392, 2.755668014929601, 2.895364864433901, 3.040472801383955, 3.191230303401804, 3.3478855411714354, 3.5106967856328484, 3.679932845192802, 3.8558735289518404, 4.038810133338096, 4.229045950633901, 4.426896798448574, 4.632691569795065, 4.846772803585147, 5.0694972756647365, 5.301236610717943, 5.542377915283085, 5.793324432256426, 6.05449621732564, 6.326330837687615, 6.609284093317946, 6.903830761182659, 7.210465362516517, 7.52970295334092, 7.862079938136744, 8.208154906675897, 8.568509493582129, 8.94374926025742, 9.334504598437174, 9.741431654434205, 10.165213272874407, 10.606559958255223, 11.066210852610999, 11.544934726549286, 12.043530981047171, 12.562830656269838, 13.103697443247867, 13.66702869342832, 14.253756419985935, 14.864848284011401, 15.50130855716833, 16.164179050928624, 16.85454000110127, 17.573510894017957, 18.322251218849946, 19.10196112725729, 19.913881979252498, 20.75929674979524, 21.639530266920918, 22.55594924686037, 23.50996208660886, 24.503018366850007, 25.53660801127664, 26.61226003938939, 27.731540839400214, 28.89605187851524, 30.10742675323426, 31.367327472397594, 32.59648178913218, 33.7824006556763, 34.92835122531916, 36.0371615917251, 37.11130076045017, 38.15294062863718, 39.16400471243873, 40.14620694832675, 41.10108294725562, 42.03001543241115, 42.934255139178866, 43.81493813522735, 44.6731002874987, 45.50968943400713, 46.325575693300316, 47.12156025074866, 47.8983828898511, 48.65672848242229, 49.39723260955384, 50.12048645252831, 50.82704106714579, 51.517411134561286, 52.192078265480504, 52.85149392151021, 53.496082006911756, 54.12624117542155, 54.74234688978928, 55.34475326590739, 55.93379472863988, 56.509787502492806, 57.07303095696207, 57.62380882362545, 58.16239029971123, 58.689031050905015, 59.203974124486614, 59.70745078246298, 60.19968126314946, 60.68087547860967, 61.151233654466665, 61.61094691782626, 62.060197838385356, 62.499160927217346, 62.928003097221726, 63.34688408878606, 63.7559568638241, 64.15536797101386, 64.54525788476663, 64.92576132019616, 65.29700752612321, 65.65912055795441, 66.01221953208623, 66.3564188633301, 66.69182848670953, 67.01855406485328, 67.33669718209703, 67.64635552630159, 67.94762305930696, 68.24059017685966, 68.52534385877627, 68.8019678100415, 69.07054259347821, 69.33114575457459, 69.5838519390028, 69.8287330033225, 70.0658581193197, 70.29529387239602, 70.51710435439209, 70.73135125119583, 70.93809392546267, 71.13738949474448, 71.32929290530797, 71.51385700189581, 71.69113259366907, 71.86116851654918, 72.02401169216499, 72.17970718358913, 72.32829824804367, 72.46982638673244, 72.60433139195369, 72.73185139163118, 72.85242289139413, 72.96608081432665, 73.07285853849784, 73.17278793237813, 73.26589938823649, 73.35222185361053, 73.4317828609315, 73.50460855538158, 73.57072372105631, 73.63015180549687, 73.6829149426556, 73.72903397435144, 73.76852847026592, 73.8014167465312, 73.82771588295186, 73.8474417389034, 73.86060896794285, 73.86723103116701, 73.86732020934839, 73.86088761387563, 73.84794319652437, 73.82849575807992, 73.80255295582975, 73.77012130994412, 73.73120620875576, 73.68581191295256, 73.63394155868964, 73.575597159628, 73.51077960790262, 73.43948867402266, 73.36172300569959, 73.27748012560271, 73.18675642803329, 73.08954717450914, 72.98584648824983, 72.87564734754595, 72.75894157799729, 72.63571984360094, 72.50597163666589, 72.36968526652899, 72.22684784704558, 72.07744528282201, 71.9214622541544, 71.75888220063908, 71.58968730340756, 71.41385846594503, 71.23137529344075, 71.04221607061491, 70.84635773796487, 70.64377586636714, 70.43444462996545, 70.2183367772715, 69.99542360039669, 69.76567490233005, 69.52905896216708, 69.28554249819064, 69.03509062869271, 68.7776668304231, 68.51323289453458, 68.24174887989277, 67.96317306359958, 67.6774618885743, 67.38456990802028, 67.08444972659093, 66.77705193805744, 66.46232505925968, 66.1402154601077, 65.81066728938, 65.47362239604466, 65.12902024580428, 64.77679783254344, 64.41688958432526, 64.04922726355814, 63.67373986091532, 63.29035348255381, 62.898991230141775, 62.49957307315156, 62.09201571283184, 61.6762324372111, 61.252132966426956, 60.819623287604756, 60.378605478431545, 59.92897751848818, 59.470633087304265, 59.003461347995824, 58.52734671522286, 58.04216860606964, 57.547801172300126, 57.04411301226613, 56.53096686055303, 56.00821925322878, 55.47572016630959, 54.933312624773244, 54.38083227912317, 53.81810694613926, 53.24495611002037, 52.661190379637084, 52.06661089704732, 51.46100869177057, 50.84416397456625, 50.215845363569315, 49.5758090346178, 48.92379778639093, 48.25954000956765, 47.58274854753707, 46.89311943421407, 46.19033049215735, 45.4740397713749, 44.74388380582284, 43.999475660538984, 43.240402737418634, 42.46622430164235, 41.67646868340745, 40.87063010056427, 40.04816503653261, 39.2084880938645, 38.350967226227, 37.47491822929341, 36.57959834260612, 35.664198777871576, 34.7278359416159, 33.7695410577592, 32.78824781296501, 31.78277753668465, 30.751821277115464, 29.693917926764247, 28.607427261200236, 27.49049634230949, 26.341017140711358, 25.156572350886098, 23.93436504163314, 22.671125722320486, 21.362987116768544, 20.16954018011554, 18.926943817173385, 17.861125303889747, 16.750718040759484, 15.797766577083335, 14.806962939017186, 13.956872131940303, 13.074605171519154, 12.318285916992597, 11.534630575018195, 10.86376383831134, 10.169718351509754, 9.576558214027415, 8.96380170102607, 8.44098401603718, 7.901654278585718, 7.442074139308962, 6.968626616444321, 6.565425777909607, 6.150611566227089, 5.797262386312772, 5.434208010634209, 5.124636884333399, 4.8069656147546995, 4.535657370926582, 4.257591661093595, 4.019644951177958, 3.7760591616296546, 3.567192207866041, 3.3536147874628637, 3.170136011328908, 2.982715854451994, 2.821476561556758, 2.6569310320822095, 2.51507213568978, 2.370480836876651, 2.245528470599007, 2.1183437116747355, 2.008545434041843, 1.8969280595456801, 1.8009060307518543, 1.7034151445000123, 1.6202308533714411, 1.535877042949631, 1.4652436709511711, 1.3937005827658817, 1.3368679764495335, 1.2882504894590017, 1.2392002528192725, 1.1898519615868086, 1.1383683477420155, 1.0831971648998322, 1.025652417452769, 0.9666699941130208, 0.9069281443203899, 0.8467196037243215, 0.7860340857270467, 0.7248618313896315, 0.663193944371466, 0.6010228527460847, 0.5462920897091714, 0.49117094345893164, 0.43565968839676916, 0.3797617158586309, 0.3309929091522079, 0.28194757799041603, 0.2326385601313052, 0.18868502027856032, 0.14455425096451086, 0.10027283203506149, 0.06119901584895209, 0.02205200632908508, -0.017119855031751507, -0.05139416456527233, -0.08562317479135934, -0.11973879194792976, -0.14937406320741023, -0.1788297050409312, -0.2080185996932773, -0.23320566289994016, -0.2580579823667629, -0.2824682063980564, -0.30338768762265944, -0.3237854424806363, -0.3435295273340357, -0.36030857756900225, -0.3763228115674562, -0.3914048727287686, -0.4053458841713001, -0.41640268854402923, -0.42616306299219364, -0.43435134170790646, -0.4399050250873522, -0.44376367482200213, -0.44538019786016836, -0.44547450630818153, -0.4442452219270453, -0.4416647286424284, -0.43831034141934305, -0.43374508006927187, -0.4287088015245465, -0.42258018616130316, -0.4161503493303044, -0.40873064846139867, -0.40027602466538587, -0.3920278070549186, -0.3829162902033974, -0.3729265812450782, -0.3620411890662973, -0.3502502199109135, -0.3375524343036495, -0.32395605475201406, -0.308850966756353, -0.29798969735050346, -0.2893698463925918, -0.28048043823555274, -0.2711219600311952, -0.260598886968959, -0.24917352108223215, -0.23695990224819496, -0.22398709280033505, -0.2102377452030982, -0.19566562854692754, -0.18020308507623276, -0.16375311237179327, -0.14611757061284786, -0.12649508569099216, -0.10606690847106691, -0.08543476520242524, -0.06464775829916623, -0.04375054903404269, -0.022783296087432594, -0.0017817344375809269, 0.020052458333243088, 0.04290835320174058, 0.06693422714451028, 0.09229490396539507, 0.11916882953096967, 0.14773970180960405, 0.1781759268472229, 0.21059402310713513, 0.24502414188586252, 0.2814043308263983, 0.31962356528120583, 0.35959527101318023, 0.40130546541775747, 0.4448161035238244, 0.4902449038779351, 0.5377430022265424, 0.5874791066449365, 0.6396234300546796, 0.6943333263529392, 0.7517380482197885, 0.81192416085323, 0.8749259089606448, 0.9407261587250185, 1.0092706859619727, 1.0804919992086683, 1.1543336924574485, 1.2307672513698535, 1.3097987605317125, 1.3914678397480023, 1.4758426791696504, 1.5630141821720607, 1.6530907848595249, 1.7461944639979718, 1.842457906056012, 1.9420226177195303, 2.045037734938265, 2.151659326457003, 2.2620500386836206, 2.376378973410906, 2.4948217239729846, 2.6175605196292717, 2.744784444856867, 2.876689711338368, 3.0134799682454427, 3.155366641313693, 3.3025692946335514, 3.455316011321645, 3.613843790749132, 3.7783989608827104, 3.9492376051665654, 4.126626003546609, 4.3108410877410686, 4.502170910917417, 4.700915132081, 4.907385515534126, 5.121906445805792, 5.344815458436153, 5.576463787004366, 5.817216926717613, 6.067455214773755, 6.327574427900987, 6.597986397040237, 6.879119639288558, 7.17142000714265, 7.475351354719219, 7.7913962207728975, 8.120056528031983, 8.461854298112701, 8.817332381216767, 9.187055199673816, 9.571609503513118, 9.971605136918878, 10.387675812955548, 10.820479894483784, 11.270701178042046, 11.739049677145843, 12.226262400825208, 12.733104122475433, 13.26036813293553, 13.808876971235117, 14.379483124562231, 14.973069688396876, 15.590550975400852, 16.23287306049223, 16.901014246748208, 17.595985434755637, 18.318830374497985, 19.07062577611134, 19.852481250957272, 20.6655390500945, 21.51097356141219, 22.389990519839152, 23.303825877253814, 24.253744268852923, 25.24103700193606, 26.26701947919472, 27.333027953247992, 28.44041548961897, 29.590546994462727, 30.717800555161205, 31.804702283645863, 32.854312971501784, 33.86928208607754, 34.85192262148263, 35.80426913365332, 36.7281233818032, 37.625090682208075, 38.496609197274914, 39.34397377804592, 40.16835555618251, 40.97081818183519, 41.7523313877846, 42.513782402296584, 43.25598561614546, 43.979690821578934, 44.68559027454587, 45.37432478063919, 46.04648896589059, 46.70263586290109, 47.34328091869514, 47.96890551159908, 48.579960049212, 49.176866707303, 49.760021859576646, 50.32979824020152, 50.88654687441548, 51.43059880710971, 51.96226665481538, 52.4818460028045, 52.98961666591165, 53.48584382908565, 53.97077908148957, 54.44466135612275, 54.90771778536723, 55.36016448152538, 55.802207250277604, 56.23404224401062, 56.65585656112376, 57.0678287967, 57.47012954929595, 57.86292188806688, 58.24636178396451, 58.620598508335476, 58.985775001886005, 59.34202821666254, 59.68948943342132, 60.02828455651183, 60.358534388187344, 60.68035488406113, 60.99385739126094, 61.29914887068006, 61.59633210459465, 61.88550589079346, 62.16676522426116, 62.44020146736272, 62.70590250938997, 62.96395291625298, 63.214434071034624, 63.457424306060034, 63.692999027080376, 63.92123083011726, 64.14218961147147, 64.35594267135491, 64.5625548115703, 64.76208842762685, 64.95460359565178, 65.14015815442626, 65.31880778285034, 65.49060607311962, 65.65560459987134, 65.81385298554154, 65.96539896215357, 66.11028842974585, 66.24856551162706, 66.38027260663773, 66.50545043857922, 66.62413810296533, 66.73637311123483, 66.84219143255707, 66.94162753335343, 67.03471441464552, 67.12148364733716, 67.20196540552664, 67.27618849794094, 67.34418039757578, 67.4059672696195, 67.46157399773386, 67.5110242087605, 67.55434029591274, 67.59154344051493, 67.62265363233793, 67.64768968858492, 67.66666927157087, 67.67960890513862, 67.68652398984942, 67.6874288169842, 67.68233658138737, 67.67125939318285, 67.65420828838865, 67.63119323845193, 67.60222315872963, 67.5673059159285, 67.52644833452395, 67.47965620216898, 67.4269342741063, 67.36828627659088, 67.30371490933075, 67.23322184694929, 67.15680773947207, 67.07447221183786, 66.98621386243059, 66.89203026062782, 66.79191794336072, 66.68587241067257, 66.57388812026815, 66.45595848103682, 66.33207584553335, 66.20223150140001, 66.06641566170528, 65.92461745417434, 65.77682490928778, 65.62302494721325, 65.46320336354142, 65.29734481378546, 65.12543279660746, 64.94744963572407, 64.76337646044901, 64.57319318481458, 64.37687848522062, 64.17440977654994, 63.965763186681166, 63.75091352933181, 63.52983427515396, 63.302497520997754, 63.06887395725809, 62.82893283320386, 62.58264192018789, 62.329967472627416, 62.070874186631734, 61.805325156147454, 61.53328182648407, 61.25470394506255, 60.96954950922952, 60.677774710954075, 60.37933387822079, 60.07417941290876, 59.76226172493384, 59.443529162410606, 59.11792793757083, 58.785402048151944, 58.44589319394647, 58.09934068817344, 57.74568136330387, 57.38484947094066, 57.016776575316555, 56.64139143993291, 56.25861990681713, 55.868384767829724, 55.47060562739531, 55.06519875597213, 54.65207693350494, 54.231149282035084, 53.80232108655232, 53.36549360307934, 52.92056385287959, 52.46742440154938, 52.00596312163302, 51.53606293723849, 51.05760154896577, 50.57045113726494, 50.07447804212003, 49.56954241670631, 49.05549785237935, 48.53219097203165, 47.99946098847604, 47.457139224083186, 46.90504858740648, 46.343003001951985, 45.77080678158622, 45.18825394629998, 44.595127471143655, 43.99119846008967, 43.37622523533929, 42.74995233111701, 42.1121093792696, 41.46240987191281, 40.800549783912935, 40.12620603503032, 39.43903476799282, 38.738669414452495, 38.02471851553245, 37.296763257241444, 36.5543546731218, 35.79701045669337, 35.02421131402667, 34.235396771425634, 33.42996033376395, 32.60724386423695, 31.76653102440321, 30.907039571992044, 30.02791225967028, 29.128206006025444, 28.206878913581754, 27.262774577741208, 26.294602950374625, 25.300916770097654, 24.28008221386146, 23.230241907649752, 22.149267671466667, 21.03469922290395, 19.883663282089664, 18.692764682759336, 17.624909153632814, 16.514618758590334, 15.568622721515494, 14.585383539466301, 13.747949710396849, 12.879496913656496, 12.140365437186805, 11.375393508430065, 10.724734874556995, 10.052559566830851, 9.480952085005239, 8.89143820567732, 8.389937998492039, 7.873541451681525, 7.433806903312286, 6.981680278877794, 6.596091380828663, 6.200189301462214, 5.8619216077327145, 5.515063291702546, 5.2181061626426875, 4.91398371470681, 4.65311329698299, 4.386255630713504, 4.156980506481397, 3.9226906273948616, 3.721187263427745, 3.515469930055053, 3.337905324579554, 3.156907521329641, 3.000669604945047, 2.841621320092701, 2.7046094292373457, 2.565312266986754, 2.445947169004209, 2.3247440324874455, 2.222110162135278, 2.118023935277077, 2.0323848319836335, 1.9554454593926889, 1.8891346954479795, 1.831951053787437, 1.7744406311122878, 1.709096034219354, 1.6377771420613, 1.562689773462612, 1.4852734974370714, 1.406543247822179, 1.327144234720119, 1.247056116832961, 1.1662580305116204, 1.0847287484599075, 1.002446923450451, 0.9295360910616706, 0.8560145411415288, 0.7818693256427404, 0.707088951692915, 0.6419710605533537, 0.576368326169935, 0.5102795198054157, 0.4515061351779364, 0.3923515054091651, 0.3328341458546382, 0.28049008429367417, 0.22787239196453898, 0.17502539158391023, 0.1289747017081255, 0.08276848129856902, 0.03647229042934638, -0.003553233513179169, -0.04360861277266321, -0.0836106887698285, -0.11794829887864224, -0.1521836288051795, -0.18621834537388768, -0.21522994894971054, -0.24399984221737206, -0.27241560764608286, -0.2964548474015699, -0.32010249003994773, -0.3432315950571674, -0.36261640345067936, -0.3814427301633772, -0.3995666359394559, -0.41454988090926154, -0.4287780628314317, -0.4420843976547382, -0.4528071109882435, -0.4625216964618461, -0.4710255921914122, -0.4773987452234207, -0.4823895019657544, -0.48572696502309426, -0.4870401985459647, -0.4864369319540967, -0.4842441655826201, -0.48074034353740736, -0.47614817388488195, -0.4699931512388459, -0.4636148290953297, -0.4558806363355732, -0.4481365580635766, -0.43921158481714767, -0.4303780002328517, -0.4205056247811774, -0.4107507296818513, -0.4000748545886012, -0.3884549966533872, -0.3773923395644668, -0.3655433734349945, -0.3529073409697591, -0.3394798461058367, -0.325263592149985, -0.31026897725899477, -0.29336410347712943, -0.28034022935929104, -0.269358094085651, -0.26066840718797096, -0.2517944963640237, -0.24189071830404724, -0.23074330022652287, -0.21864040632972606, -0.2057104039133007, -0.1920032166750651, -0.17753870604860372, -0.16234667250472312, -0.14651820164045778, -0.1302884363278724, -0.1138848339859308, -0.09362412146405943, -0.07220598286895565, -0.05064943779267444, -0.029001040083908178, -0.0073029274853435655, 0.014407226901756068, 0.03651603962531452, 0.059404915727830764, 0.08322895920268394, 0.10814795294670299, 0.13432886507861827, 0.1619465387060006, 0.19117880908427337, 0.22219316688918528, 0.2551247829166486, 0.29005623166232025, 0.327001901541197, 0.36592090758378615, 0.40675996122048313, 0.4494993724056296, 0.49417466597858634, 0.5408714555721752, 0.5897064273530863, 0.640807628346862, 0.6942906871315905, 0.7502354691802916, 0.8086688759033198, 0.8695588821263358, 0.9328258363660428, 0.9983689048576544, 1.0660965360120065, 1.135948625155745, 1.207905345077321, 1.28198537540463, 1.3582390115310838, 1.4367403962373984, 1.517580936529039, 1.6008644436640913, 1.6867038296157029, 1.775218991071225, 1.8665355279070668, 1.9607840225961441, 2.0580996876179785, 2.1586222511019506, 2.2624959958391906, 2.3698698969512653, 2.4808978232177363, 2.5957387800678875, 2.7145571802171986, 2.837523133422467, 2.9648127501028627, 3.0966084557211464, 3.2330993142239026, 3.3744813597253143, 3.5209579361066874, 3.6727400446300966, 3.830046699757686, 3.993105293581931, 4.16215196929521, 4.337432004102338, 4.5192002020746935, 4.707721297316579, 4.903270367815915, 5.106133260372219, 5.316607026823962, 5.535000371872207, 5.761634112558961, 5.996841649583792, 6.24096945043249, 6.494377544145289, 6.757440027666733, 7.030545583317547, 7.314098007014098, 7.6085167466474, 7.914237449768036, 8.231712519611348, 8.561411678306122, 8.90382253577627, 9.259451162533628, 9.628822664248402, 10.012481755755486, 10.410993331312392, 10.824943027867036, 11.254937777160414, 11.70160634198681, 12.165599831104489, 12.647592186282779, 13.148280634226065, 13.668386094381868, 14.20865353277042, 14.769852249958682, 15.352776089587257, 15.958243551313798, 16.587097789986466, 17.240206478982735, 17.918461512677474, 18.622778518472632, 19.354096143427558, 20.11337507487363, 20.901596747110748, 21.7197616771524, 22.56888736268562, 23.450005662297855, 24.364159563013352, 25.312399221594493, 26.295777143428655, 27.315342334386465, 28.32847944258774, 29.30444814256033, 30.246095909276914, 31.15588573268962, 32.035966326261125, 32.88822652116882, 33.7143380138188, 34.515789391598894, 35.2939135288122, 36.04990987456946, 36.78486275675395, 37.499756544046704, 38.195488304732784, 38.87287845246954, 39.53267975923776, 40.175585033321596, 40.802233697766496, 41.41321745701986, 42.00908520257823, 42.59034727972065, 43.15747921482254, 43.71092498486265, 44.25109989646671, 44.77839313038284, 45.29316999801945, 45.795773949157244, 46.28652836378489, 46.76573815595107, 47.23369121334493, 47.69065969284183, 48.1369011893563, 48.57265979291677, 48.998167046835476, 49.413642818117765, 49.81929608979798, 50.21532568364003, 50.601920920577335, 50.979262225359065, 51.34752168108174, 51.70686353861279, 52.057444685329024, 52.39941507708309, 52.732918136872954, 53.058091123306454, 53.37506547161271, 53.68396710966291, 53.98491675119974, 54.278030168252144, 54.563418444506766, 54.8411882112335, 55.11144186720149, 55.3742777838879, 55.62979049715072, 55.87807088643162, 56.11920634245474, 56.353280924296676, 56.58037550662615, 56.8005679178413, 57.013933069766125, 57.22054307951315, 57.420467384064196, 57.61377284807857, 57.800523865391035, 57.98078245462903, 58.154608349337614, 58.32205908297435, 58.4831900691066, 58.638054677114496, 58.786704303681915, 58.92918844033813, 59.065554737286746, 59.19584906374527, 59.32011556500286, 59.43839671638332, 59.55073337429173, 59.657164824507845, 59.757728827876235, 59.85246166353686, 59.94139816982377, 60.024571782953224, 60.102014573618305, 60.17375728158864, 60.23982934841589, 60.30025894833709, 60.35507301745568, 60.404297281281906, 60.44795628070442, 60.48607339646012, 60.51867087216496, 60.545769835965174, 60.567390320860426, 60.58355128375252, 60.594270623262744, 60.59956519636132, 60.59945083384989, 60.59394235473213, 60.58305357950529, 60.56679734240351, 60.54518550262212, 60.51822895454534, 60.48593763700173, 60.44832054156782, 60.40538571993651, 60.35714029036678, 60.303590443227606, 60.244741445648984, 60.18059764528588, 60.11116247320685, 60.0364384459102, 59.95642716646747, 59.871129324803995, 59.78054469710569, 59.684672144357144, 59.58350961000283, 59.477054116723764, 59.36530176232142, 59.248247714701165, 59.12588620593567, 58.9982105253979, 58.86521301194346, 58.72688504512458, 58.583217035408914, 58.434198413382845, 58.27981761790818, 58.120062083202086, 57.95491822480719, 57.78437142441489, 57.60840601350283, 57.42700525573836, 57.24015132810772, 57.047825300713555, 56.85000711518764, 56.64667556165887, 56.437808254212314, 56.22338160476563, 56.003370795293065, 55.77774974830911, 55.54649109552856, 55.3095661446058, 55.066944843851125, 54.81859574481404, 54.564485962612835, 54.30458113388368, 54.038845372208485, 53.76724122087178, 53.489729602783065, 53.20626976738968, 52.91681923439072, 52.62133373404144, 52.31976714383066, 52.01207142128173, 51.698196532620265, 51.37809037701397, 51.051698706082, 50.71896503832467, 50.37983056811107, 50.0342340688154, 49.68211178966198, 49.32339734579669, 48.95802160105204, 48.585912542828545, 48.20699514845444, 47.821191242319074, 47.42841934301115, 47.02859449960919, 46.62162811617902, 46.20742776344405, 45.78589697646707, 45.35693503706599, 44.92043673953952, 44.4762921381109, 44.02438627432267, 43.56459888239637, 43.09680407033733, 42.62086997428848, 42.13665838332618, 41.64402433152725, 41.14281565372385, 40.63287250088395, 40.11402681049628, 39.58610172669919, 39.04891096413172, 38.50225810861176, 37.94593584670752, 37.37972511505037, 36.803394158797225, 36.21669748693479, 35.619374710077004, 35.01114924395965, 34.39172685888702, 33.76079405182473, 33.11801621349565, 32.46303555753806, 31.795468772267846, 31.11490434752253, 30.420899519021592, 29.712976760079453, 28.990619734597587, 28.25326860498852, 27.500314562662066, 26.73109341496669, 25.944878018336595, 25.140869289009434, 24.318185444579584, 23.475849023887633, 22.612771087554336, 21.727731799226113, 20.819356301260463, 19.886084385902794, 18.926131856314807, 17.9374405599582, 16.917612671805106, 15.975270881460425, 14.999657409069522, 14.17204162057211, 13.314701049474708, 12.586465376519032, 11.833782453526444, 11.193542619853064, 10.533135569400017, 9.970420479481332, 9.391026972390149, 8.896386683076278, 8.387919767749803, 7.952960407107081, 7.506510511586833, 7.123874036014652, 6.731663779944184, 6.394971408802857, 6.050279404496321, 5.754058402290262, 5.4511299829897695, 5.189915242250314, 4.9232203872797236, 4.6931611509116555, 4.458610468870083, 4.256623531720463, 4.050976321013025, 3.874697120129559, 3.69546500056214, 3.5434217504386347, 3.3890355239952052, 3.2612531218648773, 3.1455758525063433, 3.044123808969451, 2.9621795920617826, 2.8794241191514356, 2.7892743862160314, 2.6888729555962354, 2.5819983125219843, 2.4710652586388964, 2.35772865712117, 2.243201382979216, 2.1275634536863137, 2.0107730195643816, 1.8927857612680399, 1.773554803069059, 1.6671815011000652, 1.5597638769843523, 1.451264742081358, 1.3527726416584938, 1.2533468831525, 1.1529586219628514, 1.0633261174811042, 0.9728887291852845, 0.8816385239571964, 0.8011949055718248, 0.7200732164679092, 0.6383042975663487, 0.5669577071239023, 0.49507428996634123, 0.4227156013520955, 0.36011546090254665, 0.2971269821506796, 0.23383522035206356, 0.17948052434289716, 0.12488816782805108, 0.0701609079599208, 0.02347331273102816, -0.023302157063206493, -0.06536534697490201, -0.10739738752591585, -0.14506668494212677, -0.18261125121723384, -0.21613642508834946, -0.2494444714769784, -0.2790657422558793, -0.30837818248728754, -0.33432318464900845, -0.3598676079300892, -0.3823487428187138, -0.4043364871664202, -0.42354839177862985, -0.44217165165940153, -0.4582884261739765, -0.4737169721730379, -0.48830303927862134, -0.4999239870772592, -0.5106945213100886, -0.5204352649352362, -0.5278132525144414, -0.5341355868741801, -0.5391989444407451, -0.5423909753390531, -0.5442536783810697, -0.5445422085099142, -0.5432284210043355, -0.5401589027934691, -0.535009938926405, -0.5286810727420139, -0.521155515258484, -0.5127446610586578, -0.5036302008259992, -0.4928214473138657, -0.4826163324177882, -0.4709721681129983, -0.4599439919655879, -0.44769973619737435, -0.43603606375770426, -0.42333042708279484, -0.4111253692304315, -0.3980174960414707, -0.38399475645818304, -0.37092757341723803, -0.3571096141224193, -0.3425477386842818, -0.3272408308905763, -0.3111945638010227, -0.29442195506965385, -0.2757318868377141, -0.26087385998778634, -0.24804756281584509, -0.23700542942622096, -0.22803736046390613, -0.21894673298161832, -0.20847118398292122, -0.1967148407483872, -0.18396300017545728, -0.1703637383895125, -0.1560339219048355, -0.14116727344607538, -0.1261395413403245, -0.11097102157060812, -0.09490439390575876, -0.07466576504679948, -0.04833252429469268, -0.025874486672937017, -0.003367283531264947, 0.019146306881036714, 0.041628124179680294, 0.06430009724061835, 0.08760176119658292, 0.11170289858261692, 0.13676531107313866, 0.16295066450442774, 0.190424673549823, 0.2193577182895948, 0.24991702453776732, 0.2822603991897589, 0.31652289343623047, 0.35280041642695326, 0.39114027137452206, 0.43154882935421457, 0.47401689318947826, 0.5185481239366954, 0.5651727566098304, 0.6139404519721028, 0.6648984562682786, 0.7180701087345578, 0.7734247321305602, 0.8308719121895289, 0.8902785772164782, 0.9515040290093796, 1.0144346315279649, 1.0790031865042886, 1.1451911317294239, 1.21302053679742, 1.2825432968575499, 1.3538316210639585, 1.4269710470961958, 1.5020558047564314, 1.5791859400025368, 1.658465632058897, 1.7400022767601973, 1.823906046952973, 1.910289744102448, 1.9992688249539154, 2.090961531998847, 2.1854890843983408, 2.282975903380969, 2.3835498567031177, 2.4873425132675866, 2.594489402858216, 2.70513027844727, 2.819409379898339, 2.9374756986779564, 3.0594832438205763, 3.1855913095253157, 3.3159647449796568, 3.450774226967477, 3.5901965359566073, 3.734414836180735, 3.88361896033163, 4.038005699290908, 4.197779097430355, 4.363150753767005, 4.534340129388846, 4.711574861362773, 4.895091083357052, 5.085133753037462, 5.2819569864575255, 5.485824399272945, 5.697009454782229, 5.915795818610983, 6.142477719713471, 6.377360317455259, 6.620760074134549, 6.873005132389996, 7.134435696761184, 7.405404418418116, 7.686276781980854, 7.9774314930755965, 8.27926086502432, 8.59217120299577, 8.916583183197265, 9.25293222488352, 9.601668852051242, 9.96325904159908, 10.338184554028764, 10.726943242170647, 11.130049332659404, 11.548033674385854, 11.98144394678206, 12.430844820145746, 12.896818058647836, 13.379962555537983, 13.880894288090872, 14.400246178259229, 14.93866784246725, 15.496825211310709, 16.07539999718074, 16.675088983703613, 17.296603106730476, 17.940666291811176, 18.608014006150338, 19.299391476335717, 20.015551514271795, 20.75725188254534, 21.525252117688485, 22.32030971426115, 23.143175552449016, 23.994588428297625, 24.87526851496423, 25.752243003723205, 26.596389739625224, 27.410214016868558, 28.195885558859626, 28.95529925295372, 29.69012232956719, 30.401831525445346, 31.091742724888014, 31.761034868566252, 32.4107694357132, 33.041906466847415, 33.65531785320721, 34.25179844496484, 34.83207540273926, 35.39681612229259, 35.94663499123696, 36.48209918267909, 37.00373364938192, 37.51202545006342, 38.00742751448091, 38.49036193431934, 38.96122285132947, 39.42037900172657, 39.86817596587068, 40.304938164157626, 40.730970633470314, 41.14656061315793, 41.55197896507088, 41.947481448521195, 42.333309867989804, 42.70969310885843, 43.07684807431176, 43.43498053476392, 43.784285899642434, 44.12494992007986, 44.45714932996108, 44.7810524318424, 45.096819633460406, 45.40460393984154, 45.70455140545053, 45.996801550276665, 46.281487743332946, 46.558737556634284, 46.82867309239243, 47.09141128586989, 47.34706418606585, 47.59573921618899, 47.83753941566284, 48.0725636652361, 48.30090689661426, 48.5226602878832, 48.73791144588374, 48.94674457656812, 49.14924064429312, 49.345477520898825, 49.535530125354676, 49.71947055467831, 49.89736820677419, 50.06928989577876, 50.23529996045126, 50.395460366100465, 50.549830800498015, 50.698468764192654, 50.841429655599974, 50.978766851220584, 51.11053178130215, 51.23677400124289, 51.357541259010624, 51.47287955881807, 51.58283322129617, 51.687444940373766, 51.786755837061705, 51.880805510324876, 51.969632085209646, 52.05327225838429, 52.13176134124201, 52.20513330069255, 52.27342079777532, 52.33665522420632, 52.39486673697139, 52.448084291057924, 52.496335670425864, 52.53964751730494, 52.57804535988938, 52.61155363852087, 52.64019573041157, 52.663993972989125, 52.68296968591211, 52.69714319181606, 52.70653383584383, 52.71116000400518, 52.71103914041509, 52.7061877634488, 52.696621480849274, 52.682355003831056, 52.66340216020667, 52.63977590656678, 52.611488339542674, 52.57855070617474, 52.54097341341241, 52.498766036765915, 52.45193732812509, 52.40049522276397, 52.344446845548646, 52.28379851635498, 52.21855575471606, 52.148723283694764, 52.074305033005416, 51.99530414137473, 51.91172295815917, 51.823563044208754, 51.73082517198702, 51.63350932494075, 51.53161469611727, 51.42513968602737, 51.31408189974555, 51.19843814323323, 51.07820441888776, 50.953375920292736, 50.823947026163445, 50.68991129346658, 50.55126144970098, 50.40798938431179, 50.26008613922551, 50.107541898471816, 49.950345976871425, 49.78848680775321, 49.62195192967686, 49.45072797211729, 49.274800640075, 49.09415469757283, 48.90877394998733, 48.718641225173286, 48.52373835332127, 48.32404614549399, 48.11954437078003, 47.91021173199293, 47.69602583984977, 47.47696318554622, 47.25299911164437, 47.02410778118669, 46.79026214492831, 46.55143390659142, 46.30759348602163, 46.0587099801224, 45.804751121435594, 45.545683234223496, 45.28147118788884, 45.012078347573755, 44.737466521743585, 44.45759590655777, 44.17242502681725, 43.88191067323921, 43.5860078358169, 43.28466963297253, 42.977847236205896, 42.6654897899015, 42.34754432593326, 42.02395567266823, 41.69466635793243, 41.35961650546226, 41.0187437243162, 40.67198299067166, 40.31926652136914, 39.96052363850553, 39.59568062430271, 39.2246605653954, 38.84738318559167, 38.46376466605224, 38.07371745171921, 37.67715004269617, 37.273966769118076, 36.86406754789208, 36.447347619485896, 36.02369726272016, 35.59300148526051, 35.155139687218984, 34.70998529492849, 34.25740536156704, 33.7972601308528, 33.3294025595061, 32.853677793559136, 32.36992259288042, 31.877964697435136, 31.377622127808344, 30.868702411353567, 30.351001723924732, 29.824303935500385, 29.288379546009946, 28.742984495288525, 28.187858828185107, 27.622725192343378, 27.04728714186574, 26.461227214801717, 25.86420474586822, 25.25585336767795, 24.635778143569976, 24.003552262270794, 23.35871320825339, 22.70075830064452, 22.02913946634295, 21.343257077434682, 20.642452635997472, 19.92600002657812, 19.193094971655814, 18.442842208892603, 17.67423974686423, 16.88615932677659, 16.077321887823828, 15.246266349766453, 14.486706536804203, 13.703697587780868, 13.034213397896576, 12.343849460077104, 11.752444133509163, 11.14380048986407, 10.62167734022724, 10.085256587355957, 9.624063187753418, 9.15112314892081, 8.743603833512445, 8.326484079734197, 7.967254915027061, 7.6001919515554155, 7.284873090991364, 6.963206359697003, 6.688593854045913, 6.408898148089092, 6.17343182464963, 5.933979243750061, 5.73940634425282, 5.566649831456614, 5.422766163308099, 5.2772685086079925, 5.130615200546904, 4.966817841078384, 4.7916418371112, 4.609267657424183, 4.42254200119383, 4.2335381208994285, 4.042375567492619, 3.848960188669333, 3.653190156006071, 3.454955091153598, 3.2786132595832327, 3.1001870604341497, 2.919581384197804, 2.7558925232186544, 2.590293545205975, 2.422699089830881, 2.2733366630348106, 2.122250149176753, 1.9694055709240061, 1.8349424946874209, 1.6989556449469931, 1.561474304241503, 1.44176763856145, 1.3207600453494708, 1.1985292652025183, 1.092993435112278, 0.9863881767752276, 0.8788265406665883, 0.7866145233143986, 0.6935632979860519, 0.6094136886492064, 0.5246199763617344, 0.4481477818803316, 0.3711713203773676, 0.30193301786345, 0.2323242524164394, 0.16987834068283622, 0.10718945590925724, 0.051102811636716046, -0.005105660920129169, -0.055252995703394724, -0.10540720399433594, -0.15001848386488906, -0.19452756495790932, -0.23398677667501114, -0.2732401645148767, -0.3079102098099729, -0.34227570615891456, -0.37249714151718666, -0.40231955127147634, -0.42840971891995483, -0.45400987478864807, -0.4762622719780148, -0.49793628443559934, -0.5166200175018003, -0.5346385818078566, -0.5499977329601569, -0.5646052998141806, -0.5768579884513224, -0.5882715468281202, -0.5976083741287374, -0.606015479847435, -0.6125968653813414, -0.6181523271942738, -0.6221038936461539, -0.6249240925715509, -0.62632853833908, -0.6264814648565118, -0.6251658999311888, -0.6226673184515182, -0.6186802676697962, -0.6129521682550098, -0.6062577253280161, -0.59771446421214, -0.5870096435808747, -0.5756560642060313, -0.5619864021329707, -0.5489048802426508, -0.5353894243903672, -0.5216217113347666, -0.5061314046549005, -0.4920750565773252, -0.4765704943458203, -0.4623119519877549, -0.4468567622968264, -0.43246038478120785, -0.4170604375323739, -0.40251114450908154, -0.38710822256595917, -0.37085248733910486, -0.3558251182222429, -0.3401003600751197, -0.3236919629466327, -0.3066041215221487, -0.28884746856185994, -0.27025989890691615, -0.25084818754844823, -0.23514905933909905, -0.2212804476423348, -0.2089808045865834, -0.19849815401172563, -0.18788178552075396, -0.17714766658161837, -0.1653672356383938, -0.15247663401224293, -0.13877229345115905, -0.12474723245587635, -0.11060379726314153, -0.09623922825247452, -0.07941789656805655, -0.06007355131997215, -0.037037869947778676, -0.012402512721576556, 0.012261443561022154, 0.03689957521494412, 0.06146348006786279, 0.08591085581121301, 0.11020536067149805, 0.13431631201008987, 0.1591906162702411, 0.1850274586123973, 0.2119803503016554, 0.24020720417864952, 0.2698660646218758, 0.30111715616788426, 0.33411752049387583, 0.36901260792365714, 0.40592606199108844, 0.44495112611094756, 0.4861478600056955, 0.5295470955891847, 0.5751553400590264, 0.622950997168017, 0.672867867062198, 0.7247789602617712, 0.7785013205177398, 0.8338145334773996, 0.8905125018975903, 0.9484446735602372, 1.0075304628568054, 1.0677510741425547, 1.1291325262408176, 1.1917295886244352, 1.2556140304337873, 1.3208670929816768, 1.3875750524053723, 1.4558267745235103, 1.525712471708328, 1.5973231569901007, 1.6707504908801918, 1.7460868429542453, 1.823425466012108, 1.9028607252098417, 1.9844883501568262, 2.0684056927781884, 2.1547119821231115, 2.2435085720829524, 2.334899180567006, 2.4289901201693755, 2.5258905210454685, 2.6257125470897975, 2.7285716065468377, 2.8345865582847103, 2.943879914773944, 3.056578042834174, 3.1728113629845973, 3.292714548246134, 3.416426723047072, 3.544091662797175, 3.675857994700892, 3.8118794001308647, 3.9523148190154713, 4.097328656388969, 4.24709099139886, 4.401777788861375, 4.561571113422719, 4.7266593463642685, 4.8972374049260505, 5.073506964132182, 5.255676680716147, 5.443962419067852, 5.638587478683854, 5.839782822681667, 6.047787306888128, 6.262847908710539, 6.4852199550597485, 6.715167348330879, 6.952962789384458, 7.198887996250714, 7.45323391703404, 7.716300935387829, 7.988399066592066, 8.269848142003186, 8.560977979389897, 8.862128536181094, 9.173650042409841, 9.49590310948905, 9.829258810617949, 10.174098727830122, 10.530814960214734, 10.899810086742784, 11.28149707664709, 11.676299138867549, 12.084649501151214, 12.506991107764328, 12.943776223492536, 13.395465929455815, 13.862529494246314, 14.345443601301568, 14.844691410560536, 15.360761428842633, 15.894146159271514, 16.44534049541303, 17.014839819829835, 17.60313775947567, 18.210723543029413, 18.838078893856146, 19.48567438139544, 20.153965137904404, 20.843385829827245, 21.554344749949863, 22.287216868626288, 23.00784142322865, 23.701068721649975, 24.368941396502102, 25.013235610263614, 25.63550801778263, 26.237132517323463, 26.819329389746283, 27.38318867592957, 27.92968913223767, 28.45971374959422, 28.974062571528222, 29.473463367026927, 29.958580583329844, 30.430022907405483, 30.88834969285857, 31.334076454666864, 31.767679592689234, 32.189600472926436, 32.60024897070429, 33.000006560475825, 33.389229021571516, 33.768248816993356, 34.13737719254266, 34.49690603566345, 34.84710952697746, 35.18824561223339, 35.520557318117646, 35.844273931805105, 36.159612061209316, 36.4667765904336, 36.765961542881506, 37.05735086275728, 37.34111912424875, 37.61743217644355, 37.88644773099177, 38.14831589863908, 38.40317967998269, 38.65117541515742, 38.892433196597295, 39.12707724851425, 39.355226276335934, 39.57699378896255, 39.79248839638865, 40.0018140849558, 40.205070472262314, 40.40235304353571, 40.59375337108833, 40.779359318309865, 40.959255229508585, 41.13352210677304, 41.302237774920805, 41.46547703549431, 41.62331181067134, 41.77581127787918, 41.923041995829344, 42.06506802261963, 42.201951026500424, 42.3337503898399, 42.46052330678506, 42.58232487506766, 42.69920818236645, 42.81122438760256, 42.918422797518694, 43.02085093885279, 43.11855462640724, 43.21157802727326, 43.29996372146573, 43.383752759193676, 43.46298471497438, 43.537697738794144, 43.6079286044823, 43.67371275548058, 43.73508434814563, 43.792076292742834, 43.844720292251175, 43.89304687910863, 43.93708545000948, 43.97686429886388, 44.01241064800675, 44.0437506777622, 44.070909554436696, 44.09391145682392, 44.11277960129918, 44.1275362655618, 44.13820281109972, 44.14479970442979, 44.14734653716872, 44.14586204498718, 44.14036412549836, 44.130869855116345, 44.11739550493518, 44.09995655566198, 44.078567711640275, 44.05324291399464, 44.02399535293251, 43.990837479224815, 43.953781014896784, 43.91283696314741, 43.868015617524996, 43.819326570373946, 43.76677872057408, 43.71038028058652, 43.650138782822715, 43.58606108534643, 43.51815337692819, 43.44642118144761, 43.37086936166776, 43.29150212237943, 43.20832301292049, 43.12133492908031, 43.03054011438497, 42.93594016077259, 42.837536008645834, 42.73532794631807, 42.6293156088329, 42.51949797616305, 42.40587337078007, 42.28843945458423, 42.16719322519572, 42.042131011580004, 41.91324846901384, 41.78054057336521, 41.644001614677265, 41.50362519003655, 41.359404195710155, 41.21133081852499, 41.05939652647313, 40.90359205850942, 40.7439074135206, 40.58033183843511, 40.41285381543484, 40.24146104823908, 40.06614044742237, 39.88687811471882, 39.70365932627316, 39.51646851478993, 39.32528925052249, 39.13010422105244, 38.93089520979261, 38.72764307314841, 38.52032771626809, 38.30892806730267, 38.09342205009565, 37.87378655520223, 37.64999740915785, 37.4220293418708, 37.1898559520444, 36.9534496704864, 36.71278172118929, 36.46782208002441, 36.21853943089795, 35.96490111919763, 35.706873102342605, 35.44441989723856, 35.1775045244122, 34.906088448594225, 34.63013151547739, 34.34959188437679, 34.064425956473904, 33.774588298298326, 33.48003156007953, 33.18070638855483, 32.876561333779584, 32.567542749440165, 32.2535946861236, 31.93465877693818, 31.610674114807786, 31.28157712070457, 30.947301401991954, 30.60777759996049, 30.262933225537438, 29.912692482032202, 29.556976073645522, 29.1957009983115, 28.828780323276998, 28.4561229416201, 28.07763330766875, 27.69321114903243, 27.302751152643516, 26.90614262185619, 26.503269101238818, 26.094007965210753, 25.678229966130015, 25.2557987367647, 24.826570241320756, 24.390392168273017, 23.947103257171975, 23.49653255029837, 23.038498558492837, 22.57280832862306, 22.099256397900437, 21.61762361752512, 21.127675824797556, 20.629162338726474, 20.121814249095383, 19.605342462632198, 19.07943546202735, 18.54375672355534, 17.997941726378954, 17.4415944703275, 16.87428339789567, 16.29553658868265, 15.704836058194463, 15.101610944442962, 14.485229300303082, 13.972116751583249, 13.445932219626865, 13.008584404235346, 12.608011151850581, 12.249362175564903, 11.941718717417, 11.666335222843195, 11.388056221824579, 11.07265130532563, 10.72987379655883, 10.369588236928369, 9.99832333735628, 9.620734317147667, 9.23730475026002, 8.84775939067355, 8.451796155265047, 8.0490821530574, 7.692775702081843, 7.3308080660385455, 6.962883850394971, 6.630568714058314, 6.292992804977258, 5.9499183950772325, 5.6454280321198365, 5.336088377161167, 5.021830491825899, 4.746596626376894, 4.467012614572178, 4.183141142326873, 3.937045643065785, 3.6871384155096902, 3.459268916011095, 3.2280715678957765, 3.0179154051123827, 2.8047831529195486, 2.6115838748974634, 2.415747003671484, 2.238673361889621, 2.0592846088129098, 1.8974616326301248, 1.7336283479671977, 1.586161294952165, 1.4369701780643789, 1.3029628279661751, 1.1674988118239376, 1.0460672864141245, 0.9234277953149768, 0.8137108334134597, 0.7030163775988322, 0.6041828026590694, 0.5045846742051024, 0.4158386431382531, 0.32652432304570117, 0.2471088282418289, 0.1673055936964712, 0.09650459790582952, 0.02548172246538877, -0.037378767496540406, -0.10030890431297079, -0.15586057794459082, -0.21134221629586805, -0.2601748139444056, -0.30880916795805174, -0.3514712871676686, -0.3938173600973264, -0.4308175811899061, -0.46739330426710446, -0.4992015256393599, -0.5304851069716116, -0.5575339978029219, -0.5839653850231745, -0.6066518747667761, -0.6286342466060426, -0.6473209767551504, -0.665222183992997, -0.6802388473551162, -0.6943927219094408, -0.7060372062940984, -0.7167446462982441, -0.7252838797997345, -0.7328135944416951, -0.7384839521857985, -0.7430727054042477, -0.746079771271542, -0.7479318843457166, -0.748449244305187, -0.747734977848033, -0.745901513060685, -0.7427536988240331, -0.7386684694756082, -0.7331763061415079, -0.7268894435554687, -0.7190875465717883, -0.7105845461246092, -0.7004340592770589, -0.6883786404122239, -0.6762296022703232, -0.6621384465991224, -0.6458124505464606, -0.629609166079293, -0.6110531968075998, -0.5931299995343956, -0.5728420467212162, -0.5547657766824046, -0.5346673048131437, -0.5168933625121565, -0.4974961989085314, -0.48011811424527356, -0.46143189729496165, -0.4444348882447788, -0.42636998159164774, -0.4096611813302865, -0.3920675192693437, -0.37359969352121863, -0.35698207660782866, -0.33966586652616426, -0.32167427565952633, -0.303010143268362, -0.28368279403887825, -0.2637086336626633, -0.2427112874783997, -0.22373216638272758, -0.20734077970390033, -0.19258467948862018, -0.17921440738526082, -0.16732569530576186, -0.15760569156741924, -0.14780776825449732, -0.13681864636242866, -0.12450135663803293, -0.1120957021689704, -0.09894158369822231, -0.08402672500348675, -0.06758185006360569, -0.04942407047738885, -0.02899636960497124, -0.004886450969625501, 0.02026749197341862, 0.04537562311062501, 0.0703858255921935, 0.09525214081834499, 0.11993482681631959, 0.14440019710652233, 0.1686480219491554, 0.19364489739731858, 0.21952338639863628, 0.24642695515581226, 0.2744972191081186, 0.30388003461563545, 0.3347263367336243, 0.3671914776159371, 0.40143301341869075, 0.4376067986208596, 0.4758609428953423, 0.5163260058378012, 0.5590970956312474, 0.6042005941080507, 0.6515429886228618, 0.7008665428996491, 0.7517751159759392, 0.8038632068285569, 0.85681969981662, 0.9104736714125586, 0.9647694183596284, 1.0197239434331777, 1.0753933234698472, 1.131852071531716, 1.189181976336471, 1.2474665572794916, 1.3067885535421457, 1.36722897173741, 1.4288669029236383, 1.4917797002315503, 1.5560433096350168, 1.6217326508508538, 1.6889219990522026, 1.7576853455036547, 1.8280967290158345, 1.9002305368403933, 1.9741617767821964, 2.049966323543658, 2.1277211427087304, 2.20750449559446, 2.2893961279836246, 2.3734774453320155, 2.4598316767247117, 2.5485440294993573, 2.639701836159446, 2.7333946949416426, 2.829714605198812, 2.9287560985421734, 3.03061636650455, 3.135395385447622, 3.243196039154389, 3.3541242396036375, 3.4682890462239415, 3.5858027838845534, 3.706781159806837, 3.8313433794964844, 3.959612261727602, 4.091714352592214, 4.227780038482315, 4.3679436579039965, 4.51234361194231, 4.661122473029438, 4.814427091763727, 4.972408701363679, 5.13522301926008, 5.303030345301517, 5.475995655943779, 5.654288693675925, 5.8380840508429115, 6.027561246997868, 6.222904798642121, 6.424304280217955, 6.631954374960128, 6.8460549141658245, 7.066810903156019, 7.2944325320105445, 7.529135169023843, 7.771139334473301, 8.02067065203921, 8.277959774929089, 8.543242283358593, 8.816758549726746, 9.098753567174166, 9.389476737074165, 9.689181610023661, 9.998125574514615, 10.316569486679134, 10.644777233713231, 10.983015222514071, 11.331551784191332, 11.690656483723807, 12.060599322731894, 12.44164982174378, 12.834075966398407, 13.238143000097036, 13.654112042928036, 14.082238513962233, 14.522770330787637, 14.975945856183738, 15.441991557187947, 15.921119336772769, 16.41352349156786, 16.919377242319154, 17.438828773618983, 17.97199671011992, 18.518964942203077, 19.079776699123652, 19.645300028235056, 20.18837412465962, 20.71066820657912, 21.213636099175538, 21.69855372355624, 22.166548540573253, 22.61862297059037, 23.055673235214257, 23.478504673101227, 23.88784430703305, 24.28435124434925, 24.668625352209833, 25.041214546399843, 25.4026209563121, 25.75330617175351, 26.093695734074313, 26.424183001090924, 26.745132489785465, 27.05688278089876, 27.35974905392846, 27.654025308701012, 27.93998631983196, 28.217889362494542, 28.487975741526263, 28.750472150723066, 29.00559188492056, 29.25353592398764, 29.494493904975094, 29.728644996274028, 29.95615868564986, 30.17719549234704, 30.391907612064603, 30.600439502406935, 30.80292841542277, 30.999504882987182, 31.190293160048803, 31.375411630152225, 31.554973177092762, 31.729085526117387, 31.897851557671576, 32.06136959635466, 32.21973367744137, 32.37303379306498, 32.52135611993328, 32.66478323024214, 32.80339428727745, 32.937265227041195, 33.066468927106456, 33.19107536377413, 33.311151758505865, 33.42676271450981, 33.53797034427755, 33.64483438877845, 33.74741232897548, 33.84575949024692, 33.939929140248516, 34.02997258071408, 34.11593923363276, 34.19787672221804, 34.27583094703105, 34.349846157610216, 34.41996501991193, 34.486228679848644, 34.54867682319578, 34.6073477320988, 34.662278338409315, 34.71350427405663, 34.7610599186366, 34.80497844439929, 34.845291858794226, 34.882031044724016, 34.91522579863708, 34.94490486660009, 34.97109597845461, 34.993825880179145, 35.01312036455025, 35.02900430020045, 35.041501659164005, 35.0506355429844, 35.05642820746919, 35.058901086153945, 35.05807481254647, 35.05396924120974, 35.046603467743985, 35.03599584772004, 35.02216401460759, 35.00512489675377, 34.98489473344618, 34.961489090112615, 34.93492287267678, 34.905210341123016, 34.872365122290525, 34.836400221929864, 34.7973280360543, 34.755160361604815, 34.70990840645742, 34.66158279879309, 34.61019359585296, 34.55575029209241, 34.49826182675981, 34.43773659090786, 34.3741824338579, 34.30760666912321, 34.23801607981429, 34.16541692352374, 34.08981493670986, 34.01121533858394, 33.92962283450708, 33.845041618905476, 33.757475377705006, 33.666927290292776, 33.57340003100706, 33.47689577015638, 33.37741617456913, 33.27496240767436, 33.1695351291086, 33.06113449385233, 32.949760150884494, 32.835411241359026, 32.71808639628849, 32.597783733736314, 32.47450085550377, 32.34823484330106, 32.218982254399045, 32.08673911674101, 31.951500923507208, 31.81326262711179, 31.67201863262063, 31.527762790569945, 31.380488389163045, 31.23018814582753, 31.07685419810938, 30.920478093873893, 30.76105078078867, 30.59856259506099, 30.43300324939111, 30.264361820111322, 30.092626733468958, 29.917785751017103, 29.739825954059587, 29.55873372711597, 29.37449474033707, 29.18709393083241, 28.996515482837296, 28.802742806657612, 28.605758516324446, 28.405544405877365, 28.202081424194922, 27.995349648288318, 27.785328254949185, 27.57199549066149, 27.35532863964864, 27.135303989945918, 26.91189679734807, 26.68508124710213, 26.454830413171813, 26.221116214910726, 25.983909370945174, 25.743179350067088, 25.498894318909496, 25.251021086150452, 24.999525042982384, 24.744370099541857, 24.485518616977213, 24.22293133479162, 23.956567293061354, 23.686383749092872, 23.412336088038355, 23.134377726922935, 22.852460011496312, 22.56653210524534, 22.276540869824256, 21.982430736092752, 21.684143564836496, 21.381618496140867, 21.074791786273142, 20.763596630768568, 20.447962972266147, 20.127817291441364, 19.803082379169528, 19.47367708779406, 19.139516059099513, 18.800509426218078, 18.456562486332118, 18.10757534054694, 17.753442496764947, 17.394052430754474, 17.029287099823698, 16.659021402608644, 16.283122577393673, 15.90144953007278, 15.513852081276804, 15.120170120302532, 14.720232651129358, 14.31385671298757, 13.900846154427034, 13.480990235505304, 13.05406202732206, 12.619816571352938, 12.17798875249866, 11.728290828923456, 11.270409547858293, 10.804002758633743, 10.328695410939872, 9.844074795817164, 9.349684846674215, 8.84501926420282, 8.329513157679859, 7.858206993376263, 7.376198366064555, 6.9437487139789935, 6.501812437148383, 6.105994854279662, 5.701914984689405, 5.340566669891839, 4.972046805643799, 4.642967902899507, 4.307688823344336, 4.008691331701301, 3.704358506251844, 3.4333014713536527, 3.1576789863541537, 2.9124932857771975, 2.6634274246604788, 2.4421325976462147, 2.2175675554027525, 2.01828257629217, 1.8162702194146296, 1.6372196874734495, 1.4559248334862749, 1.2954417213472362, 1.1331440755172515, 0.9896699217388416, 0.844763549576077, 0.7168467812468552, 0.5878377940955464, 0.4741307098959237, 0.3596336855333711, 0.25888850853142575, 0.1576220478911412, 0.06868636268600052, -0.020531910396856444, -0.09872009533483471, -0.176978857287056, -0.24539623880415123, -0.3136959352773369, -0.37323909784750786, -0.4324974253569601, -0.48398797292724355, -0.535045274247979, -0.5792348349674546, -0.622859335554878, -0.6604343833194151, -0.697327216024728, -0.7289136683478972, -0.7597136486336332, -0.7858812117169575, -0.8111693363868823, -0.8324355761597679, -0.8527392258588152, -0.869573348534365, -0.8853701784254273, -0.8981965059585937, -0.9099180100030155, -0.9191191345991797, -0.9271538666676971, -0.9330734636941759, -0.9377698926300644, -0.9407151618845492, -0.9423841263769572, -0.942627815828303, -0.9415445263871097, -0.9393264669970054, -0.9357319726009327, -0.9312600122039798, -0.9253620018565081, -0.9188121610418231, -0.9107848944246989, -0.9023004626947766, -0.892283500893679, -0.881972624448093, -0.8700678330913031, -0.8579988957484879, -0.8442648898771975, -0.8304587126457599, -0.8149015584439776, -0.7993197155356226, -0.7818789377043125, -0.7644118696150936, -0.7449457486702546, -0.7232001753755016, -0.7025830221941117, -0.6796451357335536, -0.6572459576275909, -0.632413507049602, -0.6095688139330959, -0.5844094356812085, -0.5622071172546333, -0.538053155908775, -0.5168342344482818, -0.4940444824153035, -0.47383970568636286, -0.4523798910904903, -0.4330598321124088, -0.41273066702895067, -0.3940732405246293, -0.3745921805993204, -0.3543107362616662, -0.33607262161242185, -0.317194273246802, -0.2977040367706048, -0.2776098136993546, -0.2569257335444248, -0.2356726301071496, -0.21172412905282337, -0.1929766008603216, -0.17624650159414237, -0.16096259029007887, -0.1454862855025317, -0.13292629045799106, -0.12220109044740608, -0.11141138440303998, -0.10056415435418557, -0.08809180862681118, -0.07421167254401492, -0.059022068436252004, -0.04246057599989602, -0.024298807273868055, -0.004031613874507319, 0.019537424318590447, 0.04570971807259935, 0.07177002327043558, 0.09766264781006327, 0.12333888846724304, 0.1487571386537577, 0.17388272117434225, 0.19868751282243638, 0.22349090150990297, 0.24908419788136724, 0.275580685314888, 0.30310658370873406, 0.33179146323352804, 0.36177123363193525, 0.39319042001320686, 0.4262043068482306, 0.46098081616767483, 0.49770095207367454, 0.5365536445416306, 0.5777132947615541, 0.6212742844829535, 0.6671140028656183, 0.7147499073673352, 0.7634469824854867, 0.8126090217330214, 0.8619550419203628, 0.9114315927235425, 0.9610915550266804, 1.0110249925803825, 1.0613296857168728, 1.1121002831356783, 1.1634250557745305, 1.2153855490163579, 1.2680572441650448, 1.3215104912224276, 1.3758114364561036, 1.4310228522073527, 1.4872048485622824, 1.544415473260173, 1.6027112145849831, 1.6621474231951283, 1.7227786673102572, 1.7846590335668795, 1.8478423835882698, 1.9123825744256893, 1.9783336494569943, 2.0457500049753197, 2.114686536683658, 2.1851987695203086, 2.2573429735108785, 2.331176267882686, 2.4067567151838225, 2.4841434069177466, 2.5633965417797495, 2.6445774974896805, 2.727748896966387, 2.8129746694253934, 2.9003201068717006, 2.9898519163837896, 3.0816382683655936, 3.1757488410440584, 3.272254861240752, 3.371229141488682, 3.472746113439218, 3.5768818575194143, 3.683714128652413, 3.7933223779019998, 3.9057877697443772, 4.021193194701469, 4.139623277011342, 4.261164376879573, 4.385904586912769, 4.513933722212545, 4.645343303513817, 4.7802265328114455, 4.918678260729052, 5.060794944857204, 5.206674598248553, 5.356416727115741, 5.510122256746859, 5.667893444512639, 5.8298337787769485, 5.996047862407345, 6.166641279419153, 6.3417204432809875, 6.521392425100036, 6.705764759948764, 6.894945229295031, 7.08904161737057, 7.288161439206256, 7.49241163775964, 7.701898247373142, 7.916726020672553, 8.136998015600819, 8.362815139196268, 8.594275644367602, 8.83147457551301, 9.074503158786168, 9.323448132101621, 9.578391010027875, 9.839407277914324, 10.106565509505986, 10.379926401752408, 10.659541719998233, 10.945453146450374, 11.237691024160839, 11.536272988392211, 11.84120247663198, 12.15246710813211, 12.4700369231613, 12.79386247198009, 13.123872742749825, 13.459972917420147, 13.802041944267428, 14.149929915391137, 14.50345523745802, 14.862401583870055, 15.226514616922714, 15.595498468591545, 15.969011969248927, 16.34666461471673, 16.716957775466994, 17.072406855592554, 17.413993728397152, 17.74258740942429, 18.05896159889267, 18.36380884940262, 18.657752121836047, 18.94135429628702, 19.215126064781707, 19.47953253096526, 19.7349987673148, 19.98191452490549, 20.22063824898661, 20.45150052184672, 20.674807030055092, 20.890841134259237, 21.09986610494034, 21.30212707588958, 21.497852757927596, 21.687256948003974, 21.87053986287396, 22.047889321737987, 22.21948179831302, 22.38548335959607, 22.54605050594588, 22.70133092491314, 22.85146416944567, 22.996582269570318, 23.13681028538867, 23.27226680814655, 23.403064415237136, 23.529310084229703, 23.651105570360112, 23.768547751357453, 23.881728943015, 23.990737188483394, 24.095656523923964, 24.196567222846387, 24.293546021190476, 24.386666324975792, 24.475998402146843, 24.56160956005919, 24.643564309902086, 24.721924519211885, 24.79674955351675, 24.86809640804257, 24.936019830315246, 25.000572434421024, 25.061804807600442, 25.1197656098006, 25.174501666731032, 25.226058056946837, 25.274478193402945, 25.319803899908994, 25.362075482862448, 25.401331798605128, 25.437610316720757, 25.470947179573702, 25.501377258337374, 25.52893420577282, 25.55365050596617, 25.57555752124433, 25.594685536446914, 25.611063800731063, 25.624720567075524, 25.635683129620155, 25.64397785898625, 25.649630235701938, 25.65266488184692, 25.653105591025298, 25.65097535676867, 25.64629639945827, 25.63909019185268, 25.629377483307845, 25.617178322751254, 25.602512080492478, 25.58539746892135, 25.565852562164793, 25.543894814750445, 25.519541079331244, 25.492807623522694, 25.463710145888964, 25.432263791129753, 25.398483164501503, 25.36238234551157, 25.32397490091531, 25.283273897058518, 25.240291911580496, 25.195041044516113, 25.14753292882046, 25.097778740340146, 25.04578920725062, 24.99157461898423, 24.935144834670904, 24.876509291100763, 24.815677010236037, 24.752656606284475, 24.68745629234331, 24.620083886635946, 24.550546818349137, 24.478852133082135, 24.40500649792134, 24.329016206148307, 24.25088718159039, 24.170624982620073, 24.088234805813794, 24.003721489275122, 23.917089515627744, 23.82834301468261, 23.737485765788367, 23.644521199858655, 23.549452401092072, 23.452282108376526, 23.353012716385084, 23.25164627636241, 23.148184496599608, 23.04262874260583, 22.934980036963644, 22.825239058876864, 22.71340614339959, 22.59948128034986, 22.4834641129015, 22.365353935846784, 22.245149693533413, 22.1228499774557, 21.998453023505075, 21.871956708869302, 21.74335854856425, 21.612655691597684, 21.479844916750196, 21.344922627960404, 21.20788484930814, 21.068727219567243, 20.927444986330556, 20.784032999677454, 20.638485705374027, 20.490797137578365, 20.340960911035353, 20.188970212741232, 20.034817793045683, 19.87849595616886, 19.719996550107343, 19.55931095589136, 19.396430076168727, 19.23134432306946, 19.06404360532334, 18.894517314581133, 18.722754310892423, 18.54874290730237, 18.372470853500488, 18.193925318476886, 18.013092872116424, 17.8299594656664, 17.644510411006113, 17.45673035864269, 17.26660327434033, 17.074112414301627, 16.8792402987918, 16.681968684101882, 16.482278532733297, 16.280149981669357, 16.07556230860252, 15.868493895953451, 15.658922192523773, 15.446823672596773, 15.232173792279628, 15.014946942880842, 14.795116401067908, 14.572654275552527, 14.347531450005766, 14.119717521888402, 13.889180736840311, 13.655887918244165, 13.419804391531628, 13.180893902765327, 12.939118530957948, 12.694438593565147, 12.446812544496671, 12.19619686393538, 11.942545939168692, 11.68581193555647, 11.425944656649476, 11.162891392372986, 10.896596754062442, 10.627002495008812, 10.35404731501817, 10.07766664733563, 9.797792426103877, 9.51435283235194, 9.22727201631856, 8.936469793731398, 8.641861313506853, 8.343356694197787, 8.040860626493377, 7.734271939147456, 7.423483126055672, 7.108379832882386, 6.78884030294911, 6.464734784358431, 6.1359249041377195, 5.802263021480739, 5.463591582472937, 5.119742515562488, 4.7705367347874805, 4.415783863812829, 4.055282371278906, 3.6888204404961553, 3.3614400043818575, 3.0279499250867623, 2.7368211053785214, 2.4406182911638594, 2.1821071601629676, 1.9195745831722977, 1.6905565616671911, 1.4584026137180937, 1.256016834364151, 1.051243474876884, 0.8728781453678299, 0.6927597791324529, 0.5360358862855957, 0.37809839948460905, 0.24085298362825494, 0.10285344633088626, -0.01687696253452597, -0.13696962956903064, -0.24096504059782384, -0.3449882677722775, -0.43486049631933343, -0.5244750559872624, -0.6016821006922694, -0.6783878650413909, -0.744247333033666, -0.8093978153363118, -0.8650993780102508, -0.9199150977378961, -0.9665319887563167, -1.0121127159287395, -1.0506123018936318, -1.0879482442504393, -1.1192017099477392, -1.1491837103181324, -1.173974906812647, -1.1974037186027249, -1.2164372252349611, -1.2340319323569815, -1.2479403838858198, -1.2603460282750225, -1.269696756740894, -1.2774912323070342, -1.282792270097028, -1.2864925367480506, -1.2881980230415135, -1.2882656883712729, -1.2867807157356537, -1.2836270250481097, -1.2793119562869184, -1.2733022235484863, -1.26647650066862, -1.257934003340292, -1.2488794600858673, -1.2380888087790363, -1.227052484570435, -1.2142624629282992, -1.2014588976420095, -1.1868847468549668, -1.1724977101942264, -1.156322803158316, -1.1405063756779736, -1.1228831835743307, -1.105762053706124, -1.0868122465152494, -1.0684810143709735, -1.0482944499850644, -1.028815638444951, -1.0074478849889703, -0.986848302772963, -0.964316258044383, -0.9425815930349749, -0.9188569915116335, -0.895926137119182, -0.8709285015904574, -0.8466966551513464, -0.820295718220023, -0.7946648133206065, -0.766736378088736, -0.739823916863613, -0.7104896889810507, -0.6829846494543689, -0.6530445230838123, -0.6259722537082412, -0.5966656319327406, -0.570724235031615, -0.5428844313216317, -0.5184394292962394, -0.49244694716053505, -0.46957868481461834, -0.44547756563674007, -0.4239905341584129, -0.40152587976350906, -0.38108223243653405, -0.35985402510333425, -0.3378761318343586, -0.31822072312419425, -0.2979682959136153, -0.27715297362520985, -0.25578582600213845, -0.2338840332891699, -0.2114713319721714, -0.18570972180662645, -0.16659815048001222, -0.14955982979591914, -0.13435356130755813, -0.12176135488096382, -0.10907158599218908, -0.09535231225378672, -0.08327788379568392, -0.07238045466804544, -0.06144727678580301, -0.04862235503051034, -0.03414839829787785, -0.018144098053088965, -0.000502603070290049, 0.019144163616320216, 0.041706255534673616, 0.0696657850049882, 0.09423519531358943, 0.11860428438749822, 0.1427325777658493, 0.1665852945165721, 0.19013328450029457, 0.21378432327759334, 0.23790671183045453, 0.26262500274433237, 0.28805234264299384, 0.3142974460445298, 0.34146947048485504, 0.3696817139558011, 0.3990551434075979, 0.4297223069481885, 0.46183204753675244, 0.4955550666868029, 0.5310889902775179, 0.5686566904439633, 0.6084760355954184, 0.6506407780720258, 0.6948376592070987, 0.740150929490388, 0.7855896738283732, 0.8307099497069776, 0.8754779827068734, 0.9200037650137916, 0.9644213520209166, 1.008854573072404, 1.0534107703884148, 1.0981820510168236, 1.143248014118426, 1.1886783426953886, 1.234534923932347, 1.2808735083367986, 1.3277449935055612, 1.3751964192702735, 1.423271744608546, 1.4720124597892346, 1.5214580733639027, 1.5716465032192564, 1.62261439332432, 1.6743973722826286, 1.7270302658376273, 1.7805472724738811, 1.8349821092112524, 1.8903681329748516, 1.9467384418471008, 2.004125959431067, 2.0625635050299773, 2.122083851641549, 2.1827197734550015, 2.244504084132287, 2.307469666920271, 2.371649497374544, 2.437076659375781, 2.5037843548924292, 2.571805907837145, 2.6411747623080113, 2.711924475353214, 2.784088704351102, 2.8577011890147057, 2.932795727976188, 3.0094061498603093, 3.087566278660336, 3.1673098932243398, 3.24867068059823, 3.331682182893817, 3.416377737376687, 3.502790409299139, 3.590952917112452, 3.680897549484219, 3.7726560736354298, 3.8662596343128577, 3.9617386428240735, 4.059122655303083, 4.158440239519983, 4.259718829254936, 4.3629845653961326, 4.468262122618458, 4.575574520601424, 4.684942918483963, 4.7963863912059415, 4.909921686250768, 5.025562959102645, 5.143321485588642, 5.263205349037616, 5.385219099984516, 5.509363385782403, 5.635634547230427, 5.764024178818319, 5.894518648722332, 6.027098574037576, 6.161738246038771, 6.298404999084454, 6.43705851580892, 6.57765005938535, 6.720121621887707, 6.864404974790125, 7.010420604444737, 7.158076510351121, 7.307266837857855, 7.457870308143021, 7.609748396052454, 7.762743189331168, 7.916674837856517, 8.071338465456785, 8.22650036236522, 8.381893192723922, 8.537209819597152, 8.692095132810282, 8.846134896283985, 8.99883997242554, 9.149623034365355, 9.297762347574201, 9.442341587906567, 9.582869476607582, 9.719568672900795, 9.830301681305173, 9.938641864180374, 10.044688191451712, 10.165841653217438, 10.29953719509566, 10.443755073456424, 10.597291373237988, 10.759341168761, 10.929325644225615, 11.106801389558015, 11.291407371620192, 11.482830828566598, 11.680783326395723, 11.884982456816429, 12.09513663768929, 12.310931469175788, 12.519563596891444, 12.718374739386977, 12.90800094010235, 13.08900828552238, 13.261903277974831, 13.427141306903355, 13.585133628321438, 13.736253161737473, 13.880839340774646, 14.019202199874135, 14.151625839313882, 14.278371380485403, 14.39967950029785, 14.515772615807832, 14.626856776402658, 14.733123310076175, 14.83475026180881, 14.931903655325197, 15.024738604062021, 15.11340029285331, 15.198024848274146, 15.278740112734877, 15.355666335044283, 15.428916788217052, 15.498598323703133, 15.564811869867956, 15.627652881442847, 15.687211745724367, 15.743574150514435, 15.796821418122615, 15.84703080918607, 15.894275799586902, 15.938626333320963, 15.980149053830813, 16.018907516008245, 16.05496238080774, 16.088371594181833, 16.119190551862786, 16.14747225133697, 16.173267432205908, 16.196624706004524, 16.217590676432195, 16.23621005084464, 16.25252574377191, 16.266578973153184, 16.278409349900166, 16.288054961352614, 16.29555244911547, 16.300937081747687, 16.304242822701358, 16.30550239389233, 16.304747335232587, 16.302008060439565, 16.297313909399772, 16.29069319734017, 16.282173261048833, 16.27178050234337, 16.259540429003287, 16.24547769332216, 16.229616128464414, 16.21197878276307, 16.19258795210827, 16.17146521054235, 16.148631439190474, 16.12410685362958, 16.097911029796396, 16.070062928527634, 16.04058091881828, 16.009482799879752, 15.976785822064802, 15.942506706732882, 15.9066616651215, 15.86926641627429, 15.830336204086917, 15.789885813523016, 15.747929586037932, 15.704481434266974, 15.659554856012699, 15.613162947568938, 15.565318416418044, 15.516033593339264, 15.465320443955209, 15.413190579747218, 15.359655268563506, 15.304725444655611, 15.248411718257262, 15.190724384732102, 15.131673433311553, 15.071268555446066, 15.009519152778664, 14.946434344773104, 14.882022976000888, 14.816293623105384, 14.749254601464528, 14.680913971555114, 14.611279545042866, 14.540358890603255, 14.46815933948425, 14.394687990829896, 14.319951716762302, 14.243957167246775, 14.166710774734797, 14.088218758605919, 14.00848712940776, 13.92752169290434, 13.845328053948283, 13.761911620167748, 13.67727760548839, 13.591431033492757, 13.50437674062133, 13.416119379220996, 13.326663420448712, 13.236013157031241, 13.144172705895192, 13.051146010656185, 12.956936843988757, 12.861548809870134, 12.764985345705304, 12.667249724337427, 12.568345055947855, 12.468274289847175, 12.367040216166203, 12.264645467440337, 12.161092520105367, 12.056383695892762, 11.950521163136658, 11.843506937995512, 11.735342885590109, 11.62603072105902, 11.515572010540309, 11.403968172075698, 11.291220476449011, 11.17733004795754, 11.062297865121382, 10.946124761330019, 10.828811425445444, 10.710358402344552, 10.590766093427407, 10.470034757079963, 10.348164509110694, 10.225155323154835, 10.101007031063807, 9.975719323284448, 9.849291749233107, 9.721723717676811, 9.593014497139935, 9.463163216330672, 9.332168864621185, 9.200030292581374, 9.066746212592768, 8.932315199555665, 8.796735691715984, 8.660005991630253, 8.522124267309202, 8.383088553555845, 8.242896753544077, 8.10154664067503, 7.959035860763248, 7.815361934595391, 7.670522260932379, 7.524514120019344, 7.377334677682191, 7.228980990105071, 7.079450009394113, 6.928738590041065, 6.776843496435767, 6.623761411583858, 6.469488947211466, 6.314022655479014, 6.157359042556953, 5.99949458434357, 5.8404257446816406, 5.680148996460468, 5.518660846077131, 5.35595786181021, 5.1920367067448785, 5.026894177031436, 4.860527246378313, 4.692933117866021, 4.5241092843826225, 4.354053599225417, 4.182764358744846, 4.010240399279318, 3.8364812111241364, 3.66148707286232, 3.4852592101446436, 3.3077999839319214, 3.1291131144159094, 2.949203948336002, 2.768079779354176, 2.5857502336500184, 2.402227736161408, 2.2175280771647845, 2.031671104541993, 1.8446815746354501, 1.656590204789459, 1.467434984574322, 1.2772628218973923, 1.0861316270432246, 0.894112975763, 0.7012955473461869, 0.5077896138857543, 0.31373297666251276, 0.11929892786650441, -0.07529290022808997, -0.2697614828130993, -0.4425498171874153, -0.6152496125571534, -0.7615856349808282, -0.9074549232421625, -1.0307994202381985, -1.1531653348964817, -1.2563147800595793, -1.358082519105136, -1.4435028228313866, -1.5272239820081606, -1.5970906042923139, -1.6650090922414464, -1.7212421643687017, -1.775333230154401, -1.819628081736776, -1.861631722139123, -1.8954854905214955, -1.9269352186209372, -1.9516701008044481, -1.9739178406203177, -1.990701454652136, -2.004939168903172, -2.014802416499374, -2.0220809569978395, -2.0259337180273036, -2.027179298740887, -2.0258242380688416, -2.021852861322146, -2.015997587044315, -2.0075276983905486, -1.9977954758734233, -1.985459079008056, -1.972398275981388, -1.9567507030561644, -1.9408431161816022, -1.9223716190396967, -1.904039811005974, -1.883171113785664, -1.862784871318212, -1.8398918033528222, -1.81777380993533, -1.7931811191210973, -1.7696119211213253, -1.7436013509679702, -1.7188236816443891, -1.691638379506128, -1.6658608914338908, -1.637709200010688, -1.611109642042295, -1.582168310331324, -1.5548961693768206, -1.525313001751441, -1.49749161123409, -1.4673875527610887, -1.4391156470893887, -1.4085862778682237, -1.3799389441462158, -1.34905532331193, -1.3200842674148845, -1.2888930277459567, -1.259626037094295, -1.2281485885863084, -1.1985880643666518, -1.1668187468185407, -1.136939291754683, -1.1048424270066426, -1.0745880528486023, -1.0420944614460643, -1.011378188939343, -0.9783841518031556, -0.9471003713961176, -0.9134804918379316, -0.8815626590351949, -0.8472334256166384, -0.8148215581312653, -0.7799315965796996, -0.7475843007661842, -0.7127722114862942, -0.68122791659315, -0.6473848930628051, -0.6171039269661598, -0.5848003812105408, -0.5561061752789789, -0.5256952801831076, -0.4989550172071737, -0.47080773205910603, -0.4461092542677376, -0.4202948547007869, -0.3973324439737402, -0.3734944237924876, -0.3517887726280305, -0.3293889427994199, -0.3063368507514298, -0.28550413826447063, -0.26415134639804766, -0.2423112004682199, -0.22000022056891724, -0.1972407631966097, -0.17232312981096023, -0.1516650267887116, -0.13446882434100532, -0.12044274035928863, -0.10631968125988174, -0.09078029973617562, -0.07472146346085931, -0.05858431472000055, -0.04533626228727368, -0.034372155696954745, -0.023391476035317414, -0.010715449566653266, 0.003949184064455522, 0.020412223552184618, 0.03881410735759764, 0.059694983989552725, 0.08461341500012473, 0.11028450017924914, 0.13568948884779403, 0.16078074065596276, 0.18551760301399858, 0.20986643997757398, 0.23380040553513803, 0.25729902239526625, 0.28123299017640147, 0.30571005920460287, 0.33082277013270384, 0.35666148347014165, 0.3833182901298453, 0.41089075093008504, 0.439485972176997, 0.46922557511291146, 0.5002520224818825, 0.5327362561884719, 0.5668842244016382, 0.6029302821008772, 0.6410713349073215, 0.6812179718540555, 0.722563804463356, 0.763862038165191, 0.8044538523187867, 0.8443025751804637, 0.8835622422661327, 0.9223992744438126, 0.9609542354666905, 0.9993406262856849, 1.0376502361322575, 1.0759583711195957, 1.1143278935892142, 1.1528121795945527, 1.1914572681941757, 1.2303034357872438, 1.2693863645355048, 1.3087380219244542, 1.3483873319354018, 1.3883606935859123, 1.4286823857394186, 1.4693748859600702, 1.510459123339287, 1.5519546799231032, 1.5938799515606727, 1.6362522763160805, 1.679088036608909, 1.7224027398408472, 1.7662110811389125, 1.8105269910869446, 1.8553636706696435, 1.900733615185166, 1.9466486284918783, 1.9931198286645424, 2.040157645909494, 2.08777181337388, 2.1359713513451255, 2.184764545172222, 2.2341589171791476, 2.28416119269025, 2.334777260216725, 2.3860121258186173, 2.4378698614914063, 2.4903535474605474, 2.5434652081059537, 2.597205741238289, 2.651574840310459, 2.7065709091024908, 2.7621909683392096, 2.8184305535161527, 2.875283603206365, 2.9327423368440955, 2.990797120916542, 3.0494363222098584, 3.108646146542507, 3.168410461054656, 3.2287105977708186, 3.2895251355918256, 3.350829657282643, 3.4125964771121495, 3.4747943338226426, 3.5373880420557477, 3.6003380935907163, 3.6636001971147962, 3.7271247418083773, 3.7908561652268995, 3.8547321991545, 3.918682957504763, 3.98262981614617, 4.046484013448085, 4.110144867981717, 4.1734974587671765, 4.236409530004553, 4.298727240474772, 4.360269125002572, 4.420817158557118, 4.480102847887576, 4.537784139413361, 4.593793470420406, 4.648228893788641, 4.692140868613317, 4.735082876223879, 4.7770979086599725, 4.8245436014664875, 4.8768329857949055, 4.933135038051404, 4.992959721832915, 5.055980237672479, 5.12196439872776, 5.190738871535188, 5.262168683666874, 5.336144481430152, 5.412574048500208, 5.491376304033343, 5.572476801405016, 5.6558041548569316, 5.741287040037661, 5.8288515380239065, 5.918418664685676, 6.009918136045401, 6.103323675520328, 6.198519618904029, 6.295378261688622, 6.393753388033865, 6.493477118628185, 6.594356279725744, 6.696168392366052, 6.798657210546887, 6.901527737921395, 7.004440643738855, 7.107005987313572, 7.208776144974148, 7.307908137869023, 7.398126518828574, 7.480251021407511, 7.554984001420473, 7.6229325495429645, 7.684625542821865, 7.740526978715003, 7.791046533873753, 7.83654802059994, 7.877356229556558, 7.913762518819045, 7.946029418266575, 7.9743944527950354, 7.9990733400230045, 8.020262682861558, 8.038142250906278, 8.052876924689006, 8.064618361579436, 8.073506430428168, 8.079670452904384, 8.0832302823705, 8.084297245470506, 8.082974967158249, 8.079360096276064, 8.073542945927045, 8.065608060528277, 8.055634719529738, 8.043697386214852, 8.029866108714183, 8.01420687929463, 7.996781957099623, 7.977650158777955, 7.956867120810543, 7.934485536832099, 7.910555372794507, 7.885124062443436, 7.858236685268227, 7.829936128799862, 7.800263236914331, 7.769256945577588, 7.736954407319649, 7.703391105547863, 7.66860095970738, 7.632616422160175, 7.595468567571405, 7.557187175500339, 7.517800806815603, 7.477336874494182, 7.435821709300965, 7.393280620791651, 7.349737954050906, 7.305217142517881, 7.259740757225556, 7.213330552760235, 7.1660075101897815, 7.117791877217807, 7.068703205775912, 7.018760387251754, 6.967981685540178, 6.9163847680761075, 6.863986735004878, 6.810804146626466, 6.756853049234172, 6.702148999475858, 6.646707087330649, 6.590541957803823, 6.533667831431717, 6.476098523671335, 6.41784746326213, 6.358927709617278, 6.299351969315748, 6.239132611755107, 6.1782816840209955, 6.116810925016268, 6.054731778908503, 5.992055407935297, 5.92879270460354, 5.864954303328228, 5.800550591543669, 5.7355917203171405, 5.670087614497397, 5.604047982435063, 5.537482325283725, 5.470399945927689, 5.40280995754438, 5.334721291831057, 5.266142706916463, 5.197082794974007, 5.127549989560611, 5.057552572686357, 4.987098681652218, 4.91619631564998, 4.844853342151304, 4.7730775030985555, 4.700876420910731, 4.628257604309575, 4.555228453994953, 4.481796268161239, 4.407968247882255, 4.333751502363361, 4.259153054083023, 4.184179843819772, 4.108838735588093, 4.033136521486436, 3.957079926459813, 3.880675613000695, 3.8039301857863492, 3.7268501962619545, 3.6494421471822367, 3.571712497118689, 3.4936676649374427, 3.415314034262352, 3.336657957925882, 3.2577057624179546, 3.178463752344943, 3.098938214902938, 3.0191354243741064, 2.939061646658661, 2.858723143849801, 2.7781261788585287, 2.697277020103063, 2.616181946267364, 2.534847251142711, 2.4532792485656945, 2.3714842774544436, 2.289468706965379, 2.2072389417750835, 2.124801427509646, 2.042162656319183, 1.9593291726328392, 1.8763075790891324, 1.7931045426727834, 1.7097268010678508, 1.6261811692475991, 1.5424745463205722, 1.4586139226543868, 1.374606387296136, 1.290459135719827, 1.2061794779196324, 1.1217748468825122, 1.037252807464604, 0.9526210657098557, 0.8678874786389091, 0.7830600645513687, 0.6981470138757392, 0.6131567006214228, 0.5280976944679323, 0.44297877355587856, 0.3578089380234095, 0.27259742436308004, 0.18735372065628136, 0.10208758276572695, 0.016809051562013858, -0.06847152872617669, -0.15374349093856596, -0.23899582408011966, -0.3242171509785589, -0.40939570436048467, -0.4945193012115739, -0.5795753152657861, -0.6645506474335382, -0.7494316939975469, -0.8342043123400933, -0.9188537839704362, -1.00336477459001, -1.0877212908881653, -1.171906633736895, -1.2559033474128727, -1.3396931644234769, -1.4232569454653266, -1.5065746139767962, -1.5896250846895188, -1.6723861854866977, -1.7548345717965201, -1.83694563263515, -1.918693387296789, -2.000050371527213, -2.08098751186798, -2.161473986642731, -2.2414770718333106, -2.3209619698109902, -2.3998916185643564, -2.4782264786743315, -2.555924294824654, -2.632939828071978, -2.709224554441132, -2.7847263245889833, -2.859388978298221, -2.9331519063608473, -3.0059495509300342, -3.0777108335951313, -3.1483584981675037, -3.2178083523342274, -3.2859683887685947, -3.3527377617805025, -3.418005589818426, -3.4816495467330633, -3.543534195092744, -3.6035090022501595, -3.661405963220512, -3.7170367321971676, -3.770189134487159, -3.820622889559317, -3.8680643189471833, -3.9121997326522653, -3.9526670732698785, -3.9890452306876245, -4.020840193657107, -4.047466831227934, -4.068224518189567, -4.082263896663898, -4.088234995799232, -4.087315953689916, -4.080300788026656, -4.0666047335562, -4.048965383059763, -4.024855499260393, -3.998556814210371, -3.9660054506625912, -3.9326961782009824, -3.8933544805282616, -3.854420653442895, -3.809673605994606, -3.766281637370069, -3.7172922672286197, -3.6704240929707392, -3.618169366150914, -3.568651345029285, -3.5139515865013276, -3.462478435765082, -3.406021628210353, -3.3531763662355742, -3.2955383485854592, -3.241808993952017, -3.183470341672345, -3.1292639542963383, -3.0706241489173234, -3.016278676086631, -2.9576680415649803, -2.9034623382109177, -2.8451521236518342, -2.791314443952205, -2.733525356749838, -2.680240557523333, -2.6231499921801134, -2.5705656435171043, -2.51431380479089, -2.462545366945315, -2.4072404484239387, -2.356375644089992, -2.3020981923950785, -2.2522006782253374, -2.1990072470301905, -2.1501196663820252, -2.0980458417578327, -2.050192320919307, -1.9992551789361677, -1.952443310377381, -1.90264334820566, -1.8568656858624286, -1.8081882477600433, -1.7634233200548395, -1.715839518675783, -1.6720523451431728, -1.6255194563234576, -1.582661535532696, -1.5371228236477175, -1.4951315536400143, -1.4505154746817401, -1.4093130038399821, -1.365531768264631, -1.3250234504848446, -1.2819711110815981, -1.2420443413752746, -1.1995952164058303, -1.160121297178178, -1.1181315809705006, -1.0789787437208547, -1.037300214729285, -0.9983796899645022, -0.9569099883281466, -0.9182947697074781, -0.8771103541572787, -0.8391997828511482, -0.7987500612671552, -0.762165102218371, -0.7231812316353685, -0.6882796794753747, -0.6512243149753523, -0.6180268559023748, -0.5829488571882033, -0.5515456108142681, -0.518526408711561, -0.48934362237515877, -0.4588156453833471, -0.43211446027491346, -0.40434257644460186, -0.3798041304184978, -0.35443521036985304, -0.33147061027386154, -0.3078602299492252, -0.2836553321609605, -0.261902447119774, -0.2396820551743891, -0.2170300079332824, -0.19396547074654705, -0.17051328020070813, -0.1449704719305808, -0.12737059924358443, -0.10924259809204187, -0.09097478762639985, -0.07258807628224076, -0.05410481527768084, -0.03762962525417953, -0.021114030064676135, -0.006800821886836123, 0.005615231273782906, 0.018027851798806477, 0.031006105270790632, 0.04629810458574043, 0.063706576360762, 0.08354661223378873, 0.1069500711491642, 0.13332464598304936, 0.15934450663020852, 0.18495703287406196, 0.2101179931746047, 0.23479162008899743, 0.2589503416042577, 0.28257424845774126, 0.30570492668261845, 0.32924590854437, 0.3532612890840667, 0.37782397241038757, 0.40300695660456765, 0.4288870948756707, 0.45554879272428755, 0.48308841670298297, 0.5116198717147433, 0.5412815036606765, 0.5722428595626758, 0.6047027679028611, 0.6388428063503402, 0.6746237285871584, 0.711351775004053, 0.7478061639790569, 0.7833003258540189, 0.8178060996910634, 0.8514929779676853, 0.8845329566066379, 0.9170649320383049, 0.9491969098233412, 0.9810132588286108, 1.0125808754745869, 1.0439536734097499, 1.0751757555617678, 1.1062836617666252, 1.13730798289765, 1.1682745390840727, 1.199205253702649, 1.2301188113434862, 1.2610311596210075, 1.2919558961063429, 1.3229045693977748, 1.3538869149795913, 1.3849110408790701, 1.4159835741748013, 1.4471097765478897, 1.478293635115994, 1.5095379332636103, 1.5408443051159966, 1.5722132764740842, 1.6036442944199554, 1.6351357473118684, 1.6666849765090581, 1.6982882808998716, 1.72994091502898, 1.7616370814595796, 1.7933699178116844, 1.8251314787877084, 1.856912713354494, 1.8887034371239522, 1.9204922998275689, 1.952266747657251, 1.9840129800572073, 2.0157159003554797, 2.0473590594123006, 2.0789245911080068, 2.110393138139329, 2.1417437660709697, 2.1729538628749174, 2.2039990202938924, 2.234852892067462, 2.2654870222923154, 2.2958706346569557, 2.325970369693848, 2.355749951828683, 2.3851697600469848, 2.414186263618279, 2.4427512647955534, 2.4708108582429857, 2.4983039621437237, 2.5251601776658132, 2.551296547370644, 2.5766124047405734, 2.600980666338231, 2.6244162720363056, 2.646977470946831, 2.6649466659370664, 2.682385240793298, 2.6993182633663797, 2.7182705068589477, 2.738949517001448, 2.760970503076855, 2.7840890487524335, 2.8081276996804094, 2.832947210227867, 2.858431412953358, 2.884478435750879, 2.9109951535919523, 2.9378934244246677, 2.9650873662994677, 2.992491266281379, 3.020017881288221, 3.0475769826406793, 3.0750740482862904, 3.1024090375356654, 3.129490719505202, 3.156212480131521, 3.182446136015294, 3.2080533381185896, 3.232883650350224, 3.256773097182111, 3.2795425972840597, 3.3009962944444116, 3.3209197744712013, 3.339078159088771, 3.355214069087154, 3.369045449963269, 3.3802632539648148, 3.388528972475418, 3.393472011775479, 3.3946869029121807, 3.3917303322310177, 3.384117972432712, 3.37132108431854, 3.352762846161025, 3.3278143505705664, 3.2957901877348057, 3.255943509151783, 3.2074604379041785, 3.1494536608274353, 3.0863020197788344, 3.0189891095792745, 2.9480494987645383, 2.8739301391919065, 2.7970085556707804, 2.717606535108904, 2.6360005922909537, 2.552430084665135, 2.4671035842985933, 2.3802039387878655, 2.2918923327840455, 2.202311578466065, 2.1115888045385978, 2.019837671275931, 1.92716020861486, 1.8336483518482876, 1.7393852328035109, 1.6444462718310673, 1.548900106416072, 1.452809384916904, 1.356231448287093, 1.2592189182469296, 1.1618202069022736, 1.0640799600760302, 0.966039444440249, 0.8677368867886298, 0.7692077723801747, 0.6704851081351403, 0.5715996555465397, 0.4725801373853589, 0.37345342167228657, 0.27424468584073003, 0.1749775636102064, 0.07567427670064365, -0.023644246763510162, -0.12295826557692235, -0.2222491291366663, -0.32149919029488366, -0.42069172635507385, -0.5198108673045255, -0.6188415305050873, -0.7177693611503805, -0.8165806778815503, -0.9152624230371681, -1.0138021170600506, -1.1121878166494632, -1.2104080762892364, -1.3084519128255592, -1.4063087728053085, -1.5039685023094416, -1.6014213190562563, -1.6986577865631254, -1.7956687901846045, -1.8924455148556503, -1.9889794243916674, -2.0852622422099505, -2.181285933352863, -2.2770426876962784, -2.372524904248734, -2.467725176450983, -2.5626362783853422, -2.6572511518360655, -2.7515628941108683, -2.8455647465847353, -2.9392500838890028, -3.0326124037070525, -3.1256453171248495, -3.2183425394887877, -3.3106978817373722, -3.402705242168336, -3.4943585986016026, -3.585652000913482, -3.6765795639098586, -3.767135460513951, -3.8573139152394824, -3.9471091979325412, -4.036515617751071, -4.125527517376415, -4.214139267423504, -4.302345261040763, -4.390139908681064, -4.477517633030079, -4.56447286407142, -4.651000034289603, -4.737093573975376, -4.8227479066455885, -4.907957444545278, -4.992716584237415, -5.0770197022560515, -5.1608611508265945, -5.244235253627496, -5.32713630159952, -5.409558548783242, -5.491496208180719, -5.572943447630578, -5.653894385689138, -5.734343087509862, -5.8142835607106305, -5.893709751226722, -5.972615539130396, -6.050994734423279, -6.128841072779965, -6.20614821124855, -6.282909723886838, -6.3591190973329885, -6.434769726306314, -6.50985490901905, -6.5843678424984455, -6.658301617810298, -6.731649215174744, -6.804403498954332, -6.876557212524935, -6.948102973003481, -7.019033265824146, -7.089340439162579, -7.1590166981835965, -7.228054099108049, -7.2964445430884, -7.364179769872599, -7.431251351250927, -7.497650684264577, -7.5633689841679805, -7.628397277120553, -7.692726392602002, -7.756346955522563, -7.819249378014118, -7.881423850887325, -7.942860334720789, -8.003548550577353, -8.063477970304469, -8.12263780640823, -8.181017001463914, -8.238604217043775, -8.29538782211946, -8.351355880911758, -8.406496140153534, -8.460796015725123, -8.514242578621793, -8.566822540204429, -8.618522236693726, -8.669327612852785, -8.719224204800733, -8.768197121900409, -8.81623102765635, -8.863310119549586, -8.909418107737961, -8.95453819253863, -8.998653040605403, -9.041744759701444, -9.083794871963981, -9.124784285552282, -9.164693264546845, -9.203501396970424, -9.241187560778915, -9.277729887666737, -9.313105724502504, -9.347291592205721, -9.380263141850946, -9.411995107763587, -9.442461257353152, -9.471634337397267, -9.499486016460894, -9.525986823112165, -9.551106079541578, -9.57481183016393, -9.597070764726313, -9.617848135400275, -9.637107667265937, -9.654811461530604, -9.670919890752927, -9.685391485241446, -9.69818280970795, -9.709248329123538, -9.71854026260829, -9.726008424013095, -9.731600047690753, -9.735259597731027, -9.736928558703264, -9.73654520566502, -9.734044350876617, -9.729357064263922, -9.722410364232848, -9.713126874900851, -9.701424445179606, -9.68721572439281, -9.670407688219072, -9.650901107662131, -9.62858995247283, -9.60336071885887, -9.575091669414318, -9.54365197087016, -9.508900712378374, -9.470685783495314, -9.428842586597359, -9.383192552906468, -9.333541424312145, -9.279677254252027, -9.221368069517167, -9.15835912009704, -9.090369624938582, -9.017088896178647, -8.938171690703056, -8.853232592537587, -8.761839167783418, -8.663503548523344, -8.557671982633147, -8.443711716419278, -8.320894330765707, -8.188374287949387, -8.045160897970414, -7.8900810660848935, -7.7217288385962055, -7.560287126823457, -7.384865773721209, -7.22501540694584, -7.052025206860797, -6.894749844760058, -6.72534327478534, -6.571594802945258, -6.406611483597599, -6.257070896929276, -6.097097340968002, -5.952236635815968, -5.797664076542341, -5.657793126003003, -5.508861769801154, -5.374164558325104, -5.2309978003064375, -5.101560657762223, -4.964191741656909, -4.84002548209419, -4.708418396442581, -4.589475759583672, -4.463541686971156, -4.349731123906544, -4.229341425665667, -4.120538014741171, -4.005534493368587, -3.9015885860939292, -3.7917915926641963, -3.6925356517412258, -3.587750475632351, -3.493004463789594, -3.3930263444882063, -3.3026019440254633, -3.20721997001466, -3.1209238522163787, -3.029923954383809, -2.947560270169801, -2.860727471528445, -2.782099696683859, -2.699219743780579, -2.624131981024846, -2.5449924523547867, -2.4732502664846625, -2.397641227752357, -2.3290520676907773, -2.256766321729694, -2.191139563748412, -2.121972522859127, -2.059119152496597, -1.9928683438350272, -1.9326002826702366, -1.8690644849479934, -1.811193570271567, -1.7501715811863083, -1.69450824411943, -1.6357973163772535, -1.5821491377559995, -1.5255432624023701, -1.4737139777279722, -1.419002612812629, -1.3687932188991248, -1.3157622320649147, -1.2669787119669205, -1.215418441848757, -1.1678975445012831, -1.11763058303621, -1.071307052727693, -1.0222621467108912, -0.9772938445964232, -0.9296472478609421, -0.8864873739117793, -0.8407565352416163, -0.7998894506815424, -0.7566568742468869, -0.7181841776909744, -0.6776165075974416, -0.6412817107303752, -0.6031203117061505, -0.5686830777431429, -0.5326556091020723, -0.5003355740973723, -0.4666516347618216, -0.4370828674193201, -0.40639632362158273, -0.37961725192635265, -0.3519689018056574, -0.32736667320442414, -0.3021050366789765, -0.2789897258345191, -0.255370281127071, -0.2312928159874515, -0.20677275705632422, -0.18455355423170505, -0.16201945680669647, -0.13897285576113222, -0.11627191432743532, -0.09335111834483027, -0.07295545924280805, -0.052444958065110445, -0.031849877890266054, -0.013923042317329708, 0.0040212930032569455, 0.02196047391065888, 0.03679699799567419, 0.04956082710535723, 0.06229213929901864, 0.07627069141822389, 0.0928213858166389, 0.11196686516108954, 0.13466258408574158, 0.1610047559629825, 0.1868941274763072, 0.209736839131344, 0.23213810264067739, 0.2541275766159958, 0.276011262480597, 0.29793576996277743, 0.3200006677310361, 0.3422825044795741, 0.3648454484684007, 0.387747344662949, 0.4110437542014959, 0.43479112450651747, 0.4590497291476674, 0.48388683070586636, 0.5093804431989912, 0.5356239175756359, 0.5627308701116543, 0.5908370076761159, 0.620083910672, 0.6505318108529816, 0.681893473136634, 0.7132810712632246, 0.7437932429388059, 0.7731593779392065, 0.8014773074340376, 0.8289102339797237, 0.8555995033731836, 0.8816551727147641, 0.9071616762449359, 0.9321842806420626, 0.9567740484191803, 0.980971376166371, 1.004808490026195, 1.028311221613571, 1.0515002913620115, 1.074392251620082, 1.0970001912476621, 1.1193342702986635, 1.1414021316509324, 1.1632092222354162, 1.1847590468721183, 1.2060533713218844, 1.227092386626466, 1.247874843709011, 1.2683981649499885, 1.2886585378935886, 1.3086509950125325, 1.328369482641435, 1.347806921521819, 1.366955260890381, 1.3858055276976398, 1.4043478722071139, 1.422571610985064, 1.4404652680635142, 1.458016614849999, 1.4752127091199254, 1.4920399331894993, 1.5084840310369851, 1.5245301437026997, 1.5401628417149835, 1.5553661524362876, 1.570123578913176, 1.5844181049149613, 1.5982321777827182, 1.6115476558556592, 1.6243456992047223, 1.6366065685633242, 1.6483092726024258, 1.6594309568901882, 1.669945833627756, 1.6798232453259923, 1.6890705554225125, 1.6977301612911035, 1.7047558713737732, 1.7103772962775565, 1.7157367305734654, 1.7218302751776748, 1.7284285475289631, 1.735291852114982, 1.7422614272061427, 1.749213767587536, 1.7560437282914632, 1.762656062283779, 1.7689606059827736, 1.774869236121104, 1.780293767770689, 1.78514438386691, 1.7893283763797865, 1.7927490726927722, 1.7953048700531051, 1.7968883284740527, 1.797385288588618, 1.7966736124400984, 1.7946199175625857, 1.7910803578375178, 1.785900340936627, 1.778913485758905, 1.7699405152094883, 1.7587880984688435, 1.745247638780273, 1.7290940081361634, 1.710084232456585, 1.6879561335059967, 1.6624269364629976, 1.6331918546890665, 1.5999226654703025, 1.5622662920138457, 1.5198434072415568, 1.4722470733002697, 1.4190414267157194, 1.3597604120361049, 1.2939065565352335, 1.2209497649491288, 1.1403260970743394, 1.0514364734785628, 0.9536452371829244, 0.8462784841848646, 0.7286220646537123, 0.5999191505996578, 0.45936726521154797, 0.30611467182926066, 0.13925602467369336, -0.04217281505107312, -0.23920089848144924, -0.4529293592554163, -0.6845397767339078, -0.9185180477069657, -1.1511459206282988, -1.3822735200340166, -1.6117913524581169, -1.8396198104921961, -2.065701669111259, -2.289996631643954, -2.5124773075679654, -2.733126208100966, -2.9519334765858285, -3.1688951567791834, -3.3840118598563236, -3.5972877303065443, -3.8087296381953526, -4.018346544441727, -4.226148999471685, -4.432148745457559, -4.63635839958981, -4.838791201120972, -5.039460808903059, -5.238381139105175, -5.435566235058553, -5.631030162898862, -5.824786927995815, -6.016850408203003, -6.207234300738708, -6.395952080154058, -6.583016965334497, -6.7684418938683475, -6.952239502434452, -7.13442211210968, -7.315001717695723, -7.493989980332066, -7.671398222785551, -7.847237426920871, -8.021518232939808, -8.194250940054225, -8.365445508302694, -8.535111561283774, -8.703258389615577, -8.869894954950897, -9.035029894426206, -9.198671525427354, -9.360827850581426, -9.521506562898574, -9.680715051002927, -9.838460404397019, -9.994749418722991, -10.149588600976704, -10.302984174650414, -10.454942084785598, -10.60546800290439, -10.754567331818807, -10.902245210294037, -11.04850651756277, -11.193355877679442, -11.336797663713112, -11.478836001770272, -11.619474774848191, -11.758717626516122, -11.896567964422697, -12.033028963629555, -12.168103569772013, -12.3017945020489, -12.434104256036646, -12.565035106339996, -12.694589109064705, -12.822768104132834, -12.949573717427748, -13.075007362773528, -13.199070243758579, -13.321763355392052, -13.443087485607176, -13.56304321660287, -13.681630926034117, -13.798850788042088, -13.914702774135998, -14.029186653921133, -14.142301995671849, -14.254048166758757, -14.364424333923052, -14.473429463397412, -14.581062320883156, -14.68732147137155, -14.79220527881755, -14.895711905660162, -14.997839312195284, -15.098585255789539, -15.197947289943384, -15.29592276319958, -15.39250881789034, -15.48770238873105, -15.581500201246866, -15.673898770038127, -15.764894396876416, -15.854483168636646, -15.942660955046765, -16.029423406269157, -16.114765950293513, -16.19868379015061, -16.28117190092985, -16.362225026605856, -16.44183767666286, -16.52000412250926, -16.596718393684387, -16.671974273841013, -16.74576529650215, -16.818084740578893, -16.888925625651876, -16.958280706995307, -17.026142470339234, -17.092503126360207, -17.157354604888397, -17.220688548826157, -17.28249630774756, -17.342768931190584, -17.401497161610664, -17.458671426983067, -17.514281833045256, -17.568318155156586, -17.620769829758274, -17.671625945418207, -17.720875233432146, -17.768506057968544, -17.814506405731773, -17.858863875109986, -17.901565664798834, -17.9425985618517, -17.981948929145616, -18.019602692217557, -18.055545325444154, -18.08976183752259, -18.122236756216445, -18.15295411232596, -18.181897422831312, -18.20904967316715, -18.234393298569916, -18.257910164447043, -18.27958154570735, -18.2993881049799, -18.3173098696636, -18.333326207723196, -18.347415802153886, -18.35955662402974, -18.3697259040314, -18.377900102363366, -18.38405487694366, -18.38816504974053, -18.390204571140476, -18.39014648219096, -18.38796287457556, -18.383624848143626, -18.377102465829367, -18.36836470574268, -18.357379410228663, -18.344113231653026, -18.328531574663646, -18.31059853462697, -18.290276831950997, -18.267527741936185, -18.242311019784083, -18.214584820355757, -18.18430561221342, -18.15142808544829, -18.115905052736498, -18.077687343002502, -18.03672368700141, -17.99296059406457, -17.946342219151795, -17.89681021926154, -17.844303598138247, -17.788758538093436, -17.730108217594015, -17.66828261312414, -17.603208283627392, -17.534808135605918, -17.46300116671439, -17.387702185386733, -17.308821503681063, -17.22626460015457, -17.13993174908449, -17.04971761184242, -16.955510785560673, -16.857193303493233, -16.75464008058308, -16.647718296669744, -16.5362867085324, -16.4201948804245, -16.299282320943686, -16.173377511869962, -16.042296811914166, -15.905843215047298, -15.763804939040902, -15.61595381485967, -15.46204344135406, -15.301807061923334, -15.134955110021375, -14.961172357938786, -14.780114587342432, -14.591404679460931, -14.394627995968087, -14.189326886263778, -13.974994109852172, -13.751064899235862, -13.516907302565603, -13.271810326253503, -13.014969230971372, -12.745467096950513, -12.462251430215865, -12.164104072460457, -11.849601908320432, -11.517064673223633, -11.164484269931163, -10.836610502460633, -10.487663162636075, -10.17669379153158, -9.846202395980582, -9.551606543938247, -9.239319776431739, -8.960887588146317, -8.666355418029578, -8.403679769394238, -8.126297921162662, -7.878839300932936, -7.617903647701679, -7.385036515745962, -7.139782581819909, -6.920829274025568, -6.690461014082279, -6.484716563804315, -6.2684272880837, -6.075177547515361, -5.872165036399322, -5.690699810418507, -5.500177095754386, -5.329799536572782, -5.151002432475826, -4.9910356159993645, -4.823227801101822, -4.6730191708864375, -4.5154954216137275, -4.374419615503356, -4.226507641277046, -4.093968089468244, -3.9550293107063466, -3.830458899630723, -3.6998884263450296, -3.582749451289911, -3.459975456940574, -3.349759031327988, -3.2342416676677512, -3.1304667143242857, -3.0216966748076373, -2.9239085908831006, -2.8214053996167925, -2.7291744603757544, -2.6324845394876544, -2.5454040862039826, -2.4540986360711585, -2.371783080979051, -2.2854557965346776, -2.207538478536597, -2.125803127009345, -2.051934080184618, -1.9744219961315472, -1.904265785047069, -1.8306234369718335, -1.7638574580447095, -1.6937445036538412, -1.6300587688738817, -1.56314768161434, -1.5022486085537388, -1.4382285972952753, -1.3798528140078068, -1.3184445872953559, -1.262395506594047, -1.2033909984804037, -1.1496162957840375, -1.0929642189934685, -1.0416595043039842, -0.9875840248725484, -0.9391702602952202, -0.8881591809262877, -0.8429573867769776, -0.7954111545820887, -0.7533281131388979, -0.7091907218265349, -0.6697901340368966, -0.6286064736340432, -0.5913753866229792, -0.5525882975878941, -0.517291565311556, -0.4806330678046723, -0.4478481073177011, -0.4139009221919986, -0.3844224164819355, -0.3540096661603079, -0.3274933126728286, -0.30027587225252594, -0.2759411897472845, -0.2510920622596293, -0.22579500268955627, -0.20367636597933167, -0.1812321912173578, -0.1584982651557946, -0.13855462190755283, -0.11842645011274106, -0.0957078937775701, -0.07127638824733874, -0.046690687022741595, -0.02570948547350187, -0.004685358849162206, 0.016346678953937693, 0.03450584492972628, 0.052619206638191814, 0.07066208575678722, 0.08533345024836658, 0.09992794209977077, 0.11443247084708605, 0.13116586476503908, 0.1509868647203384, 0.17543454215150614, 0.1998642554259681, 0.2237685673869992, 0.24710569920052644, 0.2698426077335757, 0.29195483775913755, 0.3134260599698607, 0.33431051897574454, 0.35523423999995046, 0.3762489430386738, 0.3974011367622227, 0.41873272378649606, 0.44028394814286825, 0.4620956924663184, 0.4842116100672419, 0.5066803894654167, 0.5295583056027028, 0.5529118144542386, 0.5768185574246948, 0.601360296529983, 0.6265857556753022, 0.6523878993075857, 0.6782863536515222, 0.703516876737084, 0.7276123172141429, 0.7505300567333905, 0.7723883079225268, 0.7933177104520228, 0.8134260678552555, 0.8327970883722159, 0.8514952463626304, 0.8695704731841054, 0.8870617243515267, 0.9039995538452077, 0.9204079622939273, 0.9363057384072206, 0.9517074493005029, 0.9666241860210683, 0.9810641364827074, 0.995033035268904, 1.0085345246472932, 1.0215704510577053, 1.0341411145313573, 1.0462454838373618, 1.0578813869935833, 1.0690456845152712, 1.0797344312823118, 1.0899430317969143, 1.0996663929037023, 1.108899077576316, 1.117635463092871, 1.1258699068480824, 1.133596923094068, 1.1408113741286545, 1.1475086798351117, 1.1536850501090385, 1.1593377455914533, 1.1644653734706678, 1.1690682270197048, 1.1731486804032882, 1.1767116546026508, 1.1797651770202275, 1.182321067974574, 1.184402070204478, 1.1860425403357677, 1.1871533105550154, 1.187864869127944, 1.188365127142506, 1.1886831119676313, 1.1887666742215315, 1.188514475122028, 1.18784122106743, 1.1866678151650734, 1.184917427711786, 1.182513279562135, 1.179377188157562, 1.1754284940434516, 1.1705831903456922, 1.1647531628308516, 1.15784548790691, 1.1497617561746194, 1.1403974002233668, 1.1296410117821563, 1.117373637289361, 1.1034637465282853, 1.0877615087909327, 1.0701169764949927, 1.0503686287780754, 1.028342934723253, 1.0038533567772092, 0.976699336522521, 0.946665242772659, 0.9135192908460348, 0.877012443843947, 0.8368773103449919, 0.7928270565867381, 0.7445543547606918, 0.691730392028859, 0.6340039666450807, 0.571000697383288, 0.5023223693997283, 0.42754643277817106, 0.34622565869871313, 0.2578879422337517, 0.16203622078880822, 0.05814845485629775, -0.054322404017768604, -0.1759485512100996, -0.3073276761741006, -0.4490836217761327, -0.6018674469258853, -0.7663589614273457, -0.9432687737023473, -1.133340862303578, -1.337355657169271, -1.5561336004288386, -1.7905391515615618, -2.041485208550207, -2.309937933117278, -2.5969219924733014, -2.903526260078988, -3.2309100520873755, -3.5803100148476856, -3.9530478235288347, -4.350538905860476, -4.759407802285707, -5.160792995628814, -5.555025853880264, -5.942411772416201, -6.323231965445304, -6.6977454628726765, -7.0661911043177, -7.428789429391063, -7.785744420364788, -8.13724508355101, -8.483466871280921, -8.824572954007731, -9.160715355334432, -9.492035963693285, -9.818667434112324, -10.140733992606632, -10.458352154577064, -10.771631367397257, -11.080674586183552, -11.38557879066046, -11.686435450047934, -11.983330942024995, -12.276346931055972, -12.565560710694962, -12.851045513901504, -13.13287079489636, -13.41110248564394, -13.685803229671848, -13.957032595605831, -14.224847272517792, -14.489301248931318, -14.750445977114122, -15.008330524105224, -15.26300171075192, -15.514504239898747, -15.762880814736164, -16.008172248209444, -16.250417564302992, -16.489654091909827, -16.72591755193786, -16.95924213823688, -17.18966059286011, -17.417204276134708, -17.64190323196943, -17.863786248774545, -18.082880916348554, -18.29921367903821, -18.512809885468712, -18.723693835087214, -18.931888821773704, -19.13741717472031, -19.34030029677915, -19.54055870046537, -19.738212041765163, -19.933279151911144, -20.125778067258743, -20.315726057384982, -20.503139651533424, -20.688034663503693, -20.870426215093143, -21.050328758170522, -21.22775609547095, -21.402721400189694, -21.575237234441616, -21.745315566652334, -21.912967787945345, -22.07820472757814, -22.24103666747492, -22.401473355913478, -22.559524020402844, -22.715197379791306, -22.868501655653212, -23.019444582977936, -23.168033420197148, -23.31427495858855, -23.458175531071255, -23.599741020424524, -23.73897686695829, -23.875888075652515, -24.010479222781566, -24.142754462053198, -24.27271753026959, -24.400371752535698, -24.52572004701676, -24.64876492927117, -24.769508516165175, -24.8879525293782, -25.00409829851364, -25.117946763820562, -25.22949847853478, -25.33875361085015, -25.445711945519882, -25.55037288509624, -25.652735450815623, -25.75279828312834, -25.850559641877414, -25.94601740613056, -26.039169073661498, -26.130011760083413, -26.21854219764111, -26.304756733646645, -26.388651328569235, -26.470221553770457, -26.549462588883348, -26.626369218826383, -26.700935830458658, -26.773156408859737, -26.843024533228476, -26.91053337240012, -26.97567567996649, -27.038443788993707, -27.098829606324667, -27.15682460645728, -27.21241982498541, -27.26560585158721, -27.316372822549, -27.364710412809117, -27.410607827501483, -27.454053792984418, -27.495036547333065, -27.533543830271185, -27.569562872530646, -27.603080384599046, -27.634082544840442, -27.66255498695776, -27.68848278676487, -27.711850448237193, -27.732641888811326, -27.750840423885677, -27.766428750495855, -27.77938893010895, -27.789702370501725, -27.797349806667892, -27.802311280704917, -27.8045661206197, -27.804092918001373, -27.80086950448378, -27.79487292694038, -27.78607942132764, -27.77446438510115, -27.760002348114913, -27.742666941907686, -27.722430867284103, -27.699265860074313, -27.673142654953097, -27.644030947194906, -27.61189935222944, -27.576715362844734, -27.538445303873686, -27.497054284197173, -27.452506145865225, -27.404763410138877, -27.353787220214304, -27.299537280402404, -27.241971791476757, -27.181047381919083, -27.116719034724976, -27.04894000943642, -26.977661759010257, -26.90283384110965, -26.824403823352345, -26.74231718201491, -26.656517193636663, -26.56694481890202, -26.47353857813094, -26.376234417617052, -26.274965565985916, -26.169662379648354, -26.060252176315025, -25.946659055434903, -25.828803704271422, -25.70660318818268, -25.57997072351428, -25.448815431290722, -25.31304206968498, -25.172550742984406, -25.02723658445824, -24.876989410209898, -24.72169334067902, -24.5612263860099, -24.395459990953782, -24.22425853435519, -24.047478777520578, -23.864969254914218, -23.676569599597443, -23.482109794613912, -23.28140934007994, -23.074276324025664, -22.86050638294959, -22.639881535574023, -22.412168870257847, -22.177119062853656, -21.93446469730547, -21.683918355729304, -21.425170437883224, -21.157886661373908, -20.88170518323047, -20.596233269921353, -20.30104342563587, -19.995668866481676, -19.679598199552746, -19.35226912826912, -19.01306095581951, -18.661285592310858, -18.296176681758265, -17.916876342583876, -17.52241884532245, -17.1117103116784, -16.683503175775247, -16.23636364719774, -15.768629668431544, -15.278355720158531, -14.763239045259857, -14.22051899007062, -13.737217184802809, -13.225849725133546, -12.773936002775981, -12.296802874184497, -11.874824716393874, -11.43020687441508, -11.03671359727685, -10.622804470170086, -10.256249106658558, -9.871210606587344, -9.530009583451589, -9.172016728600047, -8.854590742429616, -8.521861824148912, -8.226663738464605, -7.917480264326132, -7.643013766161636, -7.355733104823709, -7.100564731783303, -6.833627524589278, -6.596393913907647, -6.348327729775983, -6.127739419025663, -5.897159720163935, -5.692002464188671, -5.477611660104043, -5.286745969265504, -5.087331128703884, -4.909690546377963, -4.724120185592918, -4.558708686465419, -4.385928940935344, -4.231817730670157, -4.070848134505914, -3.927172056397288, -3.777101092014117, -3.643054789836026, -3.5030353234237097, -3.3778692677164863, -3.247113951201498, -3.1301304057789427, -3.0079071009261176, -2.8984560872175313, -2.784083352351885, -2.6815586642647475, -2.5744013428790744, -2.478236683216697, -2.3777016562634237, -2.287367030785115, -2.1928992658711315, -2.1078979359183805, -2.018977145047366, -1.9388438271767168, -1.8549824627240679, -1.7792843462823054, -1.7000286210949542, -1.6283727058975637, -1.553310429717958, -1.4853644642379347, -1.4141476625314382, -1.3496868626893708, -1.2820827737166964, -1.2210687327558556, -1.1570474773991486, -1.0996878086006878, -1.0394935289620773, -0.9861204370902426, -0.9301486663708297, -0.8808813009923585, -0.8293081933241321, -0.7838588728349347, -0.7364089068234455, -0.6942008169595351, -0.650265849705143, -0.6106227614207961, -0.5694779123064888, -0.531813982105957, -0.49282882357599367, -0.4571586339470577, -0.4203285707106834, -0.38793554231286664, -0.35456245212186704, -0.32599624176090697, -0.29667711162789073, -0.27112981875888603, -0.2450510263552754, -0.22183982903946114, -0.19826048429650392, -0.17724020963845927, -0.15597761176052438, -0.1389547816190251, -0.12180713714727767, -0.10238387352134845, -0.07843308299794632, -0.048153242829465995, -0.02377994049672714, 0.0006792317678955624, 0.021849877740751675, 0.04298641506772536, 0.06404501363851454, 0.08237966863552638, 0.10059636657708933, 0.11686586723975287, 0.1312211555462631, 0.14545439925217957, 0.16077331535384606, 0.17950960177104347, 0.2026619783196398, 0.22668835036750323, 0.25007320867717525, 0.27277482470299885, 0.2947617421821537, 0.3160125110951305, 0.3365150399385651, 0.35626567318807945, 0.3756449458346367, 0.3949461203381755, 0.414202334629577, 0.4334437861941156, 0.4526974805948611, 0.47198888362512287, 0.4913432236985656, 0.5107866884204502, 0.5303475377456959, 0.5500567700051595, 0.5699468829654013, 0.5900440309576611, 0.6103400719588414, 0.6307164237620567, 0.650825687483449, 0.6701443430753135, 0.6883171920385711, 0.705286288419086, 0.7211356561586403, 0.7359726153539182, 0.7498906492900358, 0.7629644208481251, 0.7752524669325999, 0.7868007223763956, 0.7976454398987961, 0.8078153946829575, 0.8173335209096725, 0.826218137791102, 0.8344838868335921, 0.8421424670962865, 0.8492032290962919, 0.8556736699799434, 0.8615598604874367, 0.8668668261976592, 0.8715989003155502, 0.8757600619471086, 0.8793542719278796, 0.8823858174978584, 0.8848596773916957, 0.8867819203006189, 0.8881601524749988, 0.889004035133418, 0.8893259005829791, 0.8891415099666722, 0.888471020260381, 0.8873402740536569, 0.8857826172115764, 0.8838364552259003, 0.8815319959975687, 0.8788962965412823, 0.876624054662826, 0.8741753328587484, 0.8714363042819334, 0.8680076994663473, 0.8638955023443388, 0.8590649158629697, 0.8534674126831858, 0.8470460675312371, 0.8397376894783538, 0.8314736316875111, 0.8221800139070985, 0.8117776474431546, 0.800181790870515, 0.7873017974991592, 0.7730406849461243, 0.7572946421668044, 0.7399524815581392, 0.7208950396381982, 0.6999841876003883, 0.6770670089918813, 0.6519925950708372, 0.6245982125298355, 0.5947090264052056, 0.5621371768114596, 0.5266808502719164, 0.4881233272839276, 0.44623202051430444, 0.40075752074021087, 0.35143267202354617, 0.29797170212172314, 0.24006943817170465, 0.17740064068853206, 0.10961948984155766, 0.03635925552783521, -0.04276782411352103, -0.12817044381165563, -0.22027791898786472, -0.31953969225508594, -0.4264247193970347, -0.5414208248327748, -0.6650341407289934, -0.7977887574912654, -0.9402267114591226, -1.0929084160589277, -1.2564136073625045, -1.4313428296769641, -1.6183194401696968, -1.817992072048763, -2.0310374705788745, -2.2581636073028353, -2.5001129850872394, -2.7576660645617, -3.0316447678530634, -3.322916041003204, -3.6323954814881843, -3.961051057358364, -4.3099069612184815, -4.680047656370051, -5.072622183695098, -5.488848810936947, -5.930020119725199, -6.397508644694922, -6.892773204613182, -7.417366101057389, -7.97294140993453, -8.552895608756133, -9.119089275955378, -9.672374266758723, -10.213500634223866, -10.743133304511268, -11.261865369479299, -11.770228796232425, -12.268703141486839, -12.757722707882104, -13.237682470973821, -13.70894302684698, -14.17183475238703, -14.626661327227918, -15.073702734091848, -15.513217829750749, -15.945446560088039, -16.370611878262128, -16.788921413695277, -17.200568930743533, -17.605735608906727, -18.00459117084754, -18.39729488000275, -18.783996425959067, -19.16483671282274, -19.539948563407087, -19.909457350094524, -20.273481561596743, -20.632133313487103, -20.985518809247043, -21.33373875763057, -21.676888751347217, -22.015059611410937, -22.348337700907837, -22.67680521147975, -23.000540425385093, -23.31961795565981, -23.63410896658434, -23.94408137641635, -24.24960004410357, -24.550726941508774, -24.8475213124984, -25.14003982010643, -25.428336682843245, -25.712463801113188, -25.992470874603423, -26.268405511414056, -26.540313329621462, -26.808238051905327, -27.07222159379901, -27.332304146072687, -27.588524251711746, -27.84091887790695, -28.089523483433464, -28.334372081772006, -28.575497300271532, -28.81293043565307, -29.046701506106942, -29.276839300227795, -29.503371422996562, -29.72632433902178, -29.945723413211642, -30.16159294905341, -30.373956224648005, -30.582835526649106, -30.78825218222987, -30.99022658920117, -31.188778244394808, -31.38392577041261, -31.575686940831925, -31.76407870395836, -31.949117205212133, -32.13081780820923, -32.30919511462134, -32.484262982866426, -32.65603454569883, -32.82452222674556, -32.989737756045656, -33.151692184636644, -33.31039589823106, -33.46585863002944, -33.61808947269557, -33.76709688954038, -33.912888724939464, -34.05547221401444, -34.19485399160799, -34.33104010057621, -34.46403599941805, -34.59384656926727, -34.72047612026263, -34.843928397320475, -34.96420658531386, -35.081313313684596, -35.195250660490444, -35.306020155908925, -35.41362278519967, -35.51805899113866, -35.61932867592873, -35.717431202594184, -35.81236539586478, -35.90412954255068, -35.99272139141289, -36.07813815253296, -36.16037649617296, -36.2394325511367, -36.3153019026225, -36.387979589566264, -36.4574601014697, -36.52373737471396, -36.586804788339755, -36.646655159301105, -36.70328073716797, -36.75667319828582, -36.80682363935885, -36.85372257046517, -36.897359907471674, -36.93772496384601, -36.97480644183648, -37.00859242301546, -37.039070358147995, -37.066227056380306, -37.09004867371037, -37.110520700722645, -37.127627949552874, -37.1413545400591, -37.151683885160736, -37.15859867530796, -37.1620808620556, -37.16211164068264, -37.158671431831294, -37.15173986210473, -37.14129574358121, -37.1273170521878, -37.10978090487438, -37.0886635355263, -37.06394026954921, -37.03558549705029, -37.00357264454452, -36.96787414509653, -36.92846140681321, -36.88530477958266, -36.838373519966424, -36.787635754123066, -36.73305843864743, -36.67460731919398, -36.61224688674282, -36.54594033135533, -36.475649493259354, -36.40133481107831, -36.32295526701797, -36.24046832879849, -36.15382988810363, -36.0629941953052, -35.96791379018677, -35.86853942838466, -35.76482000321601, -35.65670246255939, -35.544131720397075, -35.42705056261461, -35.3053995465953, -35.179116894117215, -35.04813837700367, -34.912397194927806, -34.77182384471049, -34.626345980379234, -34.47588826318915, -34.3203722007117, -34.15971597400678, -33.99383425178641, -33.8226379903543, -33.646034217966495, -33.463925802107326, -33.27621119799566, -33.08278417643141, -32.88353352886858, -32.67834274733066, -32.46708967648884, -32.24964613487074, -32.025877501777956, -31.79564226601205, -31.558791531986536, -31.31516847817307, -31.06460776210726, -30.80693486531757, -30.541965370556227, -30.269504162523685, -29.98934454188041, -29.7012672406961, -29.405039325499768, -29.100412971733018, -28.787124090560468, -28.46489078555005, -28.133411612547047, -27.79236361095881, -27.441400068386645, -27.080147972771336, -26.70820509657876, -26.325136645451384, -25.93047138852277, -25.52369716822568, -25.104255662624226, -24.671536241274936, -24.22486871384476, -23.763514715721502, -23.28665740163936, -22.793389019762895, -22.282695804249407, -21.753439438488105, -21.204334080443132, -20.633917569568577, -20.040514894430704, -19.422191199383345, -18.776690394907202, -18.101353549722337, -17.393008225922024, -16.7495528611516, -16.071443969120995, -15.475174200098968, -14.84736758864923, -14.294740712976518, -13.71401657733164, -13.202378671804045, -12.665586111920888, -12.192268857360034, -11.696337270345426, -11.25872032115343, -10.800698082687083, -10.39624814860052, -9.973325989825817, -9.599621275707056, -9.20914515455375, -8.863889631113416, -8.503366325014769, -8.184396910795046, -7.851494581171065, -7.556783386772252, -7.249328701962375, -6.976981856652922, -6.692954801976951, -6.441208946553461, -6.178736128140734, -5.945953351237662, -5.703300371998481, -5.487962148999803, -5.263525469917318, -5.064226006487839, -4.85652458770533, -4.671963855960726, -4.479630784547101, -4.308607456921407, -4.130381704729149, -3.9717861307257376, -3.8065045402646245, -3.659311869864991, -3.505901435178618, -3.369164968108228, -3.2266354616623873, -3.0994802967065715, -2.966917295231663, -2.8485343778449947, -2.7250927714819833, -2.6147335144304362, -2.4996316696924943, -2.3966035021545307, -2.2891184463569783, -2.1927820431737945, -2.092246467182846, -2.0020162477902352, -1.9078190319487933, -1.823170198598462, -1.7347639968472846, -1.6552522897972046, -1.5721749143108437, -1.4974780498500595, -1.4193976422053722, -1.3493799159232318, -1.276166426658961, -1.2109212327507342, -1.1426969475722473, -1.0824414664930535, -1.0194736304705125, -0.9642581927733475, -0.9066430712492246, -0.8561486612558216, -0.8035775580713588, -0.757188661489434, -0.7090175316612671, -0.6659869542225593, -0.6214210318944842, -0.5809691963856469, -0.5391795529962933, -0.5005890888416283, -0.460816447277204, -0.4198873535378382, -0.38485959822317933, -0.348807636075181, -0.3183350758545382, -0.28706861167019876, -0.2606061680003195, -0.23360102995342427, -0.2103760906991592, -0.18680133252842288, -0.1670184419493211, -0.14973269110445755, -0.13231074359068629, -0.11477222522901995, -0.09428244406231595, -0.0710188643840306, -0.044565956848117406, -0.013772048744699911, 0.011732744278930837, 0.03725939579039808, 0.05910173829118388, 0.08083509803011749, 0.10240430642426918, 0.12117118142416296, 0.13974157375110982, 0.1580831974972546, 0.1723820730119964, 0.18650399838465365, 0.2028423928172477, 0.22311012615748296, 0.24994234046177755, 0.2714493676561097, 0.2922306159423666, 0.3122597268969292, 0.3315199307622732, 0.3500034164099336, 0.3679616402342324, 0.3856053068938184, 0.4029779809039178, 0.4201110225606961, 0.437027795330521, 0.45374597519959614, 0.4702789014737466, 0.4866364206137211, 0.5028254376936659, 0.5188502188555356, 0.5347122605946889, 0.5504090635216415, 0.5659299683644385, 0.5812443580069186, 0.5962724624320386, 0.6108324534206172, 0.6246170205914052, 0.6373230803720312, 0.6488241612748884, 0.6591516174656975, 0.6683935366834846, 0.6766397966612251, 0.6839666875006544, 0.6904359699896007, 0.6960973094216263, 0.7009909323032856, 0.7051498366660979, 0.7086015273524505, 0.7113693777277892, 0.7134737225123561, 0.7149327653024227, 0.715763363999392, 0.7159817427182648, 0.7156041696558106, 0.7146476361581441, 0.7131305724902075, 0.7110736411198739, 0.7085006606187345, 0.7054397369052005, 0.7019247230599304, 0.6979972156546014, 0.693709476355714, 0.6890963388457586, 0.684184659530292, 0.6796965637182354, 0.6757807601416572, 0.6717369191196421, 0.6669616825275221, 0.6612385062101068, 0.6546210568172202, 0.6471026286210766, 0.638652505833228, 0.6292258904464938, 0.6187682326671243, 0.6072172311561791, 0.5945037541103367, 0.5805521999717644, 0.5652805381452994, 0.5486001501389779, 0.5304155349989021, 0.5106239143369228, 0.4891147570607094, 0.46576923546833804, 0.4404349550892606, 0.4129673460748101, 0.38321468726722807, 0.35101365713636534, 0.3161886819474873, 0.2785510858209633, 0.2378982286411607, 0.19401263943180017, 0.1466611651132032, 0.09559415908309556, 0.040544739382929476, -0.018771848895281974, -0.08265872841519861, -0.1514377015318907, -0.22544934155792207, -0.3050528333720118, -0.3906255483904443, -0.48256236214906034, -0.5812747536794889, -0.687189762174041, -0.8007489133032429, -0.922407257132616, -1.0526326746083001, -1.191905602575246, -1.3407192959630052, -1.4995806939335663, -1.6690118931727558, -1.8495521698357982, -2.0417604439356043, -2.2462180542095096, -2.4635317099421226, -2.694336504179396, -2.9392989030410277, -3.199119660424172, -3.4745366392192056, -3.7663275457573193, -4.075312602545741, -4.40235719505071, -4.7483745338722425, -5.114328375741002, -5.501235846408152, -5.910170408126981, -6.342265014543749, -6.7987154966694305, -7.280784227829887, -7.789804120546565, -8.327183017925735, -8.894408556071843, -9.493053592566499, -10.1247823234387, -10.791357248551039, -11.494647197811954, -12.236636705692476, -12.960208898313798, -13.665241803924005, -14.35292892855184, -15.024316873072769, -15.680330259925107, -16.32179137731951, -16.94943586064229, -17.563925355829486, -18.165857852755043, -18.755776197503078, -19.334175165211523, -19.901507383461105, -20.45818832910516, -21.004600571730258, -21.541097399659392, -22.068005936133833, -22.585629831650216, -23.094251601667715, -23.59413466582857, -24.085525134536372, -24.568653380575288, -25.043735426931853, -25.510974176737143, -25.970560506992715, -26.422674244295063, -26.86748503793477, -27.305153143409928, -27.735830127461824, -28.159659504146227, -28.576777310087532, -28.987312625955724, -29.39138805025195, -29.78912013066535, -30.180619757616213, -30.565992523975165, -30.945339054493783, -31.31875530801489, -31.68633285518181, -32.04815913405952, -32.40431768576675, -32.75488837202718, -33.09994757628704, -33.43956838991746, -33.773820784814426, -34.102771773599656, -34.42648555847809, -34.745023669727, -35.05844509467153, -35.36680639792603, -35.670161833600545, -35.968563450118126, -36.26206118821265, -36.550702972624805, -36.83453479797439, -37.113600809250954, -37.38794337729738, -37.65760316965885, -37.9226192171214, -38.18302897623396, -38.43886838810332, -38.6901719336909, -38.93697268586441, -39.17930235839905, -39.41719135213749, -39.65066879847516, -39.879762600347135, -40.10449947085594, -40.324904969695275, -40.54100353748831, -40.75281852816702, -40.960372239494305, -41.16368594184343, -41.36277990532256, -41.557673425328424, -41.74838484661745, -41.934931585973615, -42.11733015352273, -42.29559617277895, -42.46974439947536, -42.63978873923083, -42.80574226411296, -42.96761722813063, -43.125425081714475, -43.27917648521915, -43.42888132148699, -43.57454870749763, -43.716187005156705, -43.85380383123387, -43.98740606647445, -44.11699986393818, -44.24259065654307, -44.36418316387736, -44.48178139827064, -44.59538867014259, -44.70500759266388, -44.81064008571466, -44.91228737917109], \"y\": [-34.44150891285808, -34.43517444508886, -34.37016636119387, -34.30213748730504, -34.231092541169446, -34.15703572226232, -34.079970714372685, -33.999900687704326, -33.91682830049558, -33.83075570015973, -33.74168452394723, -33.6496158991298, -33.55455044270497, -33.45648826061922, -33.35542894650595, -33.251371579934336, -33.14431472416286, -33.03425642339128, -32.92119419950263, -32.805125048286214, -32.686045435130936, -32.5639512901771, -32.438838002913414, -32.31070041620432, -32.17953281973147, -32.04532894283132, -31.908081946709256, -31.767784416008737, -31.62442834971227, -31.478005151348537, -31.328505618478417, -31.175919931429902, -31.020237641249548, -30.8614476568356, -30.699538231214937, -30.53449694692305, -30.366310700442913, -30.19496568565514, -30.02044737624809, -29.84274050703223, -29.661829054098977, -29.477696213759117, -29.290324380190803, -29.099695121721442, -28.905789155661697, -28.70858632160282, -28.50806555308154, -28.304204847508448, -28.09698123424713, -27.886370740721677, -27.672348356419715, -27.454887994646377, -27.233962451872017, -27.009543364502377, -26.781601162884478, -26.55010502234433, -26.31502281103372, -26.07632103434231, -25.833964775608123, -25.587917632833435, -25.338141651084623, -25.084597250222032, -24.827243147570467, -24.566036275100508, -24.300931690645886, -24.03188248263189, -23.75883966773251, -23.481752080810182, -23.200566256419417, -22.915226301073556, -22.62567375538064, -22.331847445048638, -22.03368331963914, -21.731114277810775, -21.42406997763512, -21.112476630386084, -20.79625677599403, -20.47532903811392, -20.149607856475786, -19.819003193859718, -19.483420214656764, -19.142758931531766, -18.796913816180822, -18.445773369559546, -18.08921964622824, -17.727127726593196, -17.359365129788646, -16.98579115870403, -16.606256167168205, -16.220600737495918, -15.828654754404575, -15.43023635862284, -15.02515076020779, -14.613188887498524, -14.194125842541673, -13.767719127439156, -13.333706598004524, -12.89180409085171, -12.441702656872948, -11.983065317022003, -11.515523234061613, -11.038671164575984, -10.552062016419852, -10.055200284040325, -9.547534062196807, -9.02844523932347, -8.497237332932956, -7.953120232704092, -7.395190834434744, -6.882439090302542, -6.354641778592022, -5.902132812586981, -5.4360477623186325, -5.03601722323978, -4.624857469392259, -4.27179260301465, -3.909615632830205, -3.5985850328872377, -3.2801211827982995, -3.0067238787216803, -2.727299670191889, -2.4876140224441565, -2.2430847865485117, -2.033619960144983, -1.8203092832482641, -1.6379583693747402, -1.45260208339333, -1.2945962582573227, -1.1342895907957966, -0.9981545453212557, -0.8603033057290869, -0.7438233917373829, -0.6261045274906063, -0.5273071707453749, -0.42765111947876305, -0.34483608173512265, -0.2614550626964854, -0.19332761109513397, -0.1318014920044997, -0.077033983134612, -0.029418606276918, 0.009602218170778314, 0.04869806621364215, 0.08978964390063879, 0.1338891230652862, 0.17945368062416564, 0.22541334849277514, 0.27120326225070635, 0.31676493625717506, 0.36202667470020444, 0.4021333405466081, 0.4418523426958351, 0.48108783859250387, 0.514846720188446, 0.5480487652265225, 0.5805727928664217, 0.6075929312886174, 0.6339119667947722, 0.6566683863528596, 0.6786300747487305, 0.6973050325953699, 0.7151028719704372, 0.7299358960598519, 0.7438167978233727, 0.7550761747104362, 0.7653177053908015, 0.7732881996839456, 0.7801867422140816, 0.7851657736063704, 0.7890331797052419, 0.7913325028383896, 0.792497781044936, 0.7924450068606902, 0.7912547698214297, 0.789187618406526, 0.785998097123183, 0.7822488380190858, 0.7774078255076239, 0.772283981443468, 0.7661100058486395, 0.7598804954788353, 0.7526488585979949, 0.7455397789112165, 0.7374792584530718, 0.72967790422729, 0.7209760823494401, 0.712622164304832, 0.7034191201125848, 0.694619978004081, 0.6850213122401493, 0.6758986128849769, 0.666027931481379, 0.6567340714125041, 0.646751654519361, 0.6375600267328692, 0.6277611922518653, 0.6194741604619028, 0.6117693348772641, 0.6037040159932473, 0.5937334879147629, 0.5817266383989346, 0.567379973766437, 0.5503591377206669, 0.5341010954047666, 0.516545227799218, 0.5002960808039802, 0.48290698110183006, 0.4643025532243553, 0.44706437495608536, 0.4287471779247839, 0.40929921225133326, 0.3886542843595643, 0.3694549912349105, 0.3492224785312216, 0.3279478488232401, 0.3056121826383934, 0.2822099860796914, 0.25775227679538315, 0.23226934890634715, 0.20581280180121178, 0.17768149767887056, 0.15089869852873425, 0.12892060735888738, 0.10918718949908977, 0.08922345792935456, 0.06614865239088173, 0.03995505207078798, 0.01036631977264791, -0.022680515882416766, -0.05588059555385078, -0.08883030227062452, -0.12141070967446121, -0.15352680531236215, -0.1851061743967857, -0.21609664451605431, -0.24646341855695295, -0.27618609512424663, -0.30525584013824997, -0.3336728578167646, -0.36144422390704056, -0.3890673000033469, -0.4168605940672547, -0.4449420909912183, -0.4734862028941414, -0.5027915725246931, -0.5335265922477516, -0.5609319846060491, -0.587717249442512, -0.6138725686401459, -0.6410012519756375, -0.6689034925210384, -0.6974828979592519, -0.7267246465120636, -0.7566463677257788, -0.7872812929093475, -0.818671637508765, -0.8508656634243535, -0.8839162963090068, -0.917880480072232, -0.9528268708833042, -0.9888652706193907, -1.026059997820042, -1.064481853187196, -1.1042062769469292, -1.1453133322667495, -1.1878876158433849, -1.232018107293854, -1.2777979031680873, -1.3253237797498902, -1.3746955254200304, -1.4260149843065337, -1.4793847634390478, -1.5349065823849872, -1.5926792941374481, -1.652796682722026, -1.7153452416551183, -1.7804022382424998, -1.848034434418762, -1.9182978189709168, -1.991238575754799, -2.0668952791363773, -2.1453020384909474, -2.226492108650196, -2.3105014216237882, -2.3973715886710782, -2.4871521142287265, -2.579901769428691, -2.6756892276389483, -2.7745931433286, -2.876701868586603, -2.9821129744964225, -3.0909327012786423, -3.2032754186199957, -3.3192631425324333, -3.4390251307139486, -3.5626975621408836, -3.690423297610031, -3.8223517131242204, -3.9586385962292585, -4.0994460951944784, -4.244942711563829, -4.395303327547529, -4.550709260936117, -4.71134834103129, -4.877415000116723, -5.049110375551621, -5.226642418363362, -5.4102260041961525, -5.600083043187825, -5.796442585064277, -5.999540916071008, -6.20962164402017, -6.426935767733177, -6.651741726711652, -6.884305426558572, -7.1249002352120385, -7.3738069442533, -7.631313689122513, -7.897715820869453, -8.173315721327585, -8.458422552031996, -8.753351926261473, -9.058425491146078, -9.373970405567187, -9.700318696608127, -10.037806474574966, -10.386772983499695, -10.747559459524739, -11.120507765195814, -11.505958761241887, -11.904250370825302, -12.315715282319006, -12.740678225909365, -13.179452746641685, -13.632337380167067, -14.09961111744333, -14.581085718925152, -15.040047780844176, -15.478517807979333, -15.898211151012488, -16.300599487900357, -16.68695717286803, -17.05839677984621, -17.415896775246647, -17.760323355830607, -18.092447892128824, -18.412961014988884, -18.722484104734377, -19.02157874701676, -19.31075457990386, -19.590475855624543, -19.861166966110744, -20.123217126234014, -20.376984367077686, -20.622798959990366, -20.860966367910027, -21.091769801651388, -21.31547244416339, -21.532319394192207, -21.74253937160454, -21.94634621928716, -22.143940230634932, -22.335509326860294, -22.52123010446563, -22.70126877003255, -22.87578197685974, -23.044917575809894, -23.208815290922733, -23.367607328844734, -23.52141892986313, -23.670368867267428, -23.8145699008638, -23.95412918970303, -24.089148668434788, -24.219725391144493, -24.34595184605377, -24.467916244056177, -24.585702783706726, -24.699391894977985, -24.809060463831475, -24.914782039421404, -25.016627025548082, -25.11466285780145, -25.20895416768176, -25.299562934849206, -25.38654862853502, -25.469968339041046, -25.549876900163202, -25.62632700328992, -25.699369303855633, -25.76905252076279, -25.835423529329134, -25.898527448264133, -25.95840772113358, -26.015106192728517, -26.068663180718964, -26.11911754293824, -26.166506740614356, -26.21086689783803, -26.252232857531844, -26.290638234163353, -26.326115463424898, -26.35869584908484, -26.388409607198152, -26.415285907849793, -26.439352914590472, -26.460637821711945, -26.47916688949759, -26.494965477574326, -26.508058076481497, -26.51846833756458, -26.526219101293385, -26.531332424096398, -26.5338296037978, -26.533731203736114, -26.531057075638614, -26.52582638131983, -26.51805761326835, -26.507768614181174, -26.49497659550111, -26.479698155008244, -26.46194929351416, -26.441745430703275, -26.41910142016327, -26.394031563642944, -26.366549624574702, -26.336668840894664, -26.304401937192814, -26.26976113622164, -26.23275816979178, -26.193404289079684, -26.15171027437115, -26.107686444263326, -26.061342664345442, -26.012688355377946, -25.961732500987406, -25.90848365489439, -25.85294994768879, -25.795139093167855, -25.735058394249016, -25.672714748470128, -25.60811465308793, -25.541264209784526, -25.472169128991794, -25.400834733840775, -25.327265963744328, -25.25146737761928, -25.17344315675356, -25.093197107323444, -25.01073266256478, -24.926052884602154, -24.83916046593768, -24.75005773060214, -24.65874663496871, -24.565228768230522, -24.46950535254092, -24.371577242815775, -24.271444926195443, -24.169108521164233, -24.06456777632354, -23.95782206881457, -23.848870402385224, -23.737711405095684, -23.62434332665537, -23.50876403538397, -23.39097101478726, -23.270961359738614, -23.1487317722552, -23.02427855685675, -22.897597615494306, -22.768684442034758, -22.637534116285064, -22.504141297539917, -22.368500217634477, -22.230604673481746, -22.09044801907367, -21.948023156922222, -21.803322528915633, -21.65633810656229, -21.5070613805928, -21.355483349888804, -21.201594509703767, -21.045384839139285, -20.88684378783623, -20.72596026183818, -20.56272260857975, -20.397118600950282, -20.229135420377297, -20.05875963887142, -19.885977199968814, -19.710773398501782, -19.533132859122286, -19.353039513497958, -19.170476576091247, -18.985426518426483, -18.797871041740688, -18.60779104790386, -18.415166608486395, -18.219976931837483, -18.022200328028227, -17.82181417149848, -17.618794861231326, -17.413117778262322, -17.20475724031247, -16.99368645331218, -16.7798774595618, -16.563301082246284, -16.343926865995147, -16.121723013144283, -15.896656315321652, -15.668692079936571, -15.437794051107458, -15.203924324510028, -14.967043255570216, -14.7271093603587, -14.484079208468959, -14.237907307074657, -13.988545975264742, -13.735945207642088, -13.480052526043979, -13.220812818095936, -12.958168161140675, -12.692057629889986, -12.422417085921829, -12.149178946884026, -11.872271932963345, -11.591620787826852, -11.307145970830826, -11.018763316813292, -10.726383659223698, -10.429912411683295, -10.129249102296667, -9.824286854122654, -9.5149118041435, -9.201002451812913, -8.882428926788693, -8.559052163735819, -8.230722970092362, -7.89728097041306, -7.558553408355821, -7.214353784628643, -6.8644803064528634, -6.508714121722246, -6.146817309847954, -5.778530602850254, -5.403570817609422, -5.021627999175205, -4.632362317064532, -4.235400844231206, -3.8303345280510093, -3.475645812014811, -3.1119532074390293, -2.8023079760613383, -2.4851833450311926, -2.2149491381103736, -1.9388599844525323, -1.7035062236724778, -1.463621366772312, -1.2591350984672565, -1.051206035837755, -0.87403168296842, -0.6943150008917559, -0.5413008909330157, -0.3864933315152646, -0.25484495838495325, -0.12202845690377782, -0.009267547057713902, 0.10413772734820208, 0.20020913476404872, 0.29648519618017627, 0.3778163270465099, 0.45898236491038735, 0.5273015206130173, 0.5951443458396564, 0.6519834451373627, 0.708084102849302, 0.7548003993175004, 0.8005575491281478, 0.8383529393421063, 0.8750035408941566, 0.9049418842353503, 0.9335797140182568, 0.9566026415023166, 0.978195220316312, 0.9951370389628825, 1.0105416852862725, 1.0221441947913876, 1.0321241334808655, 1.039052386186986, 1.0442940192752967, 1.0471539266271048, 1.0482860827659017, 1.04764345989551, 1.045257737105552, 1.041654982283969, 1.0363223883382888, 1.0302850234292438, 1.0225601919575253, 1.0145871313766288, 1.0049944461370917, 0.9955366810058045, 0.9845452712327821, 0.973987074327418, 0.9619908430730183, 0.9506436423859094, 0.9379564400303473, 0.9260648353071147, 0.9129288514586822, 0.9006829984587384, 0.8872833979053046, 0.8748330759657128, 0.8613137299890651, 0.8487822828378946, 0.8352608052258328, 0.8227151505494316, 0.8092577063306372, 0.7967835532278961, 0.7834718596118218, 0.7711877071130304, 0.7581418387548172, 0.7462264493943875, 0.7336333419383938, 0.7224292508959259, 0.7106524534223685, 0.7011084409748508, 0.6924561040757504, 0.683505094076759, 0.6728110093872353, 0.6604687602061422, 0.6465800837885713, 0.6310935223025141, 0.6138244452874203, 0.5944618970103572, 0.5728050280937621, 0.5495541164781368, 0.5288505156850314, 0.5067213802828759, 0.4862321874339216, 0.4644921865219237, 0.4414474188576393, 0.4205952719473039, 0.3986149439105839, 0.3754907492541097, 0.3539904877072678, 0.3314935750553883, 0.30800806559172605, 0.28352551035203677, 0.25805173333566034, 0.23447582207457196, 0.2101566397094231, 0.18507420656362034, 0.15882904273650872, 0.13057984765199218, 0.10244996837768194, 0.08194674806312105, 0.061209165964318316, 0.03942614160552349, 0.015222416012171891, -0.010993062871898352, -0.03918844833106501, -0.06944004768991704, -0.10136616314328226, -0.13348156409698173, -0.16507355441492058, -0.19606959276039757, -0.22641751781065286, -0.256082979307339, -0.2850465881033945, -0.3133010960103683, -0.34084880018151464, -0.3676992725083002, -0.3938674472649282, -0.41937205760287805, -0.4442343879721153, -0.4684772992715152, -0.49212448158058564, -0.5151998920609542, -0.5377273405968083, -0.5675740061357049, -0.5991714130027956, -0.6297431195131331, -0.659355305888682, -0.6880694847403273, -0.716882810027313, -0.7460128693538639, -0.7755714399537399, -0.8056497028508347, -0.8363276517159156, -0.8677051494859793, -0.899875284373108, -0.9329039699977518, -0.9668590183351531, -1.0018097956406349, -1.0378275759295257, -1.0749857005323948, -1.113359562603816, -1.153026387936627, -1.1940647708661913, -1.2365539163407824, -1.2805725412234181, -1.3261974060738895, -1.3735014912063626, -1.4225519046513053, -1.473407714132543, -1.5261180128684855, -1.5807206193359415, -1.6372418150806805, -1.6956973920523393, -1.7560950130735387, -1.8184375652708036, -1.8827269389640438, -1.9489676016766901, -2.017169472272655, -2.087349850830444, -2.1595344094019477, -2.233757416114224, -2.310061431056115, -2.3884967011763005, -2.4691204312936605, -2.5519960495834644, -2.6371925354357737, -2.7247838411907916, -2.8148484157730214, -2.9074688253987158, -3.002731459982932, -3.100726311921171, -3.2015468139846766, -3.3052897242603794, -3.412055047749885, -3.5219459858207305, -3.6350689062053, -3.7515333274569973, -3.871451912897048, -3.9949404696737347, -4.1221179493527735, -4.253106446733117, -4.388031193994386, -4.527020547320548, -4.670205963341584, -4.817721962553638, -4.969706076994559, -5.126298779037953, -5.287643388081662, -5.453885951582293, -5.6251750963500475, -5.801661845768599, -5.983499397774106, -6.170842857975185, -6.363848921421336, -6.5626754955668885, -6.767481255921855, -6.978425124615933, -7.19566566056435, -7.419360348166766, -7.649664769292551, -7.8867316408235455, -8.130709697032728, -8.381742392352775, -8.639966395836524, -8.90550984295052, -9.178490304339078, -9.45901242253114, -9.747165158110771, -10.043018573880616, -10.346620070318671, -10.65798996524212, -10.97711628490336, -11.299724842113772, -11.60527809863329, -11.895348118455155, -12.17126798693515, -12.434180043672391, -12.685072252873908, -12.924806095844, -13.154138284613495, -13.373737893123513, -13.584200036491616, -13.786056913198317, -13.979786806905935, -14.165821491235109, -14.344552371219045, -14.516335615688387, -14.681496476445226, -14.84033294664577, -14.993118878126396, -15.140106652560053, -15.281529482247315, -15.417603401565867, -15.548528998549266, -15.67449292696901, -15.795669232074566, -15.91222051737758, -16.02429897522669, -16.132047300164995, -16.23559950100457, -16.33508162505088, -16.43061240585029, -16.52230384413019, -16.610261730188306, -16.694586114803226, -16.775371734751907, -16.852708398182717, -16.92668133439072, -16.997371511944422, -17.064855928602483, -17.129207876028318, -17.19049718193416, -17.248790431969848, -17.304151173393375, -17.356640102322935, -17.40631523616201, -17.453232072611844, -17.497443736524986, -17.539001115720282, -17.577952986757108, -17.614346131562616, -17.64822544571244, -17.679634039083897, -17.70861332952732, -17.735203130139052, -17.759441730661123, -17.781365973482675, -17.801011324673862, -17.81841194044146, -17.833600729361287, -17.846609410708382, -17.85746856917908, -17.86620770627234, -17.87285528857332, -17.87743879316403, -17.879984750363857, -17.88051878398801, -17.87906564929541, -17.875649268783135, -17.870292765973026, -17.863018497323967, -17.85384808239265, -17.842802432355267, -17.829901776996643, -17.815165690262145, -17.79861311446219, -17.78026238321262, -17.760131243186347, -17.738236874749774, -17.714595911547534, -17.689224459097918, -17.662138112456788, -17.633351973001805, -17.602880664386618, -17.570738347711035, -17.53693873595059, -17.501495107684676, -17.4644203201604, -17.425726821728013, -17.385426663679425, -17.343531511520755, -17.30005265570675, -17.255001021864658, -17.208387180531346, -17.160221356427563, -17.110513437291253, -17.059272982289773, -17.006509230030645, -16.95223110618896, -16.896447230767848, -16.83916592500732, -16.780395217957906, -16.720142852730756, -16.65841629243905, -16.59522272584183, -16.5305690727019, -16.464461988868837, -16.396907871095987, -16.327912861602133, -16.257482852386143, -16.185623489301815, -16.112340175901704, -16.0376380770564, -15.961522122355863, -15.883997009299039, -15.805067206277453, -15.724736955357116, -15.643010274865375, -15.559890961784921, -15.475382593960129, -15.38948853211982, -15.302211921718255, -15.213555694598304, -15.123522570479233, -15.032115058270977, -14.93933545721721, -14.845185857868291, -14.749668142885941, -14.65278398768023, -14.554534860879404, -14.454922024633504, -14.353946534751216, -14.251609240669753, -14.147910785257656, -14.042851604449424, -13.93643192671059, -13.82865177233227, -13.719510952552554, -13.60900906850429, -13.49714550998521, -13.383919454048177, -13.269329863409626, -13.153375484671244, -13.036054846352133, -12.917366256727746, -12.797307801470588, -12.67587734108837, -12.553072508154408, -12.428890704325235, -12.303329097139674, -12.176384616592763, -12.048053951479066, -11.918333545497847, -11.787219593113315, -11.654708035162727, -11.520794554204059, -11.385474569595624, -11.248743232299438, -11.110595419399841, -10.971025728327815, -10.830028470783377, -10.68759766634616, -10.54372703576622, -10.398409993925503, -10.25163964246198, -10.10340876204881, -9.953709804320779, -9.802534883442243, -9.649875767311269, -9.49572386839682, -9.340070234208666, -9.18290553740041, -9.02422006551227, -8.864003710362995, -8.702245957106207, -8.538935872973695, -8.374062095736308, -8.207612821924881, -8.039575794865518, -7.869938292599922, -7.698687115783547, -7.525808575676432, -7.351288482374489, -7.1751121334671755, -6.997264303352224, -6.817729233501453, -6.636490624039637, -6.453531627094614, -6.268834842486606, -6.082382316472037, -5.894155544434819, -5.704135478647488, -5.512302542514536, -5.3186366530779665, -5.123117254040325, -4.925723362166728, -4.726433630717486, -4.5252264345878945, -4.322079983179239, -4.116972468799268, -3.9098822607538453, -3.7007881584595146, -3.48966972119059, -3.2765076979263097, -3.0612845888368683, -2.84398538121012, -2.624598518532156, -2.4031171842030505, -2.1795410144424965, -1.953878403745546, -1.7261496395689702, -1.4963912152556516, -1.2646618461076784, -1.0310509958383005, -0.7956911865061015, -0.5587761584951038, -0.35715454553553067, -0.1533973515290498, 0.017323636188483996, 0.18927471442399502, 0.33321371838053054, 0.47755645222601084, 0.5981580963508606, 0.718510611836455, 0.818775704302544, 0.9182731961790973, 1.000820218172616, 1.0821868550437188, 1.1493037127318264, 1.214911441574967, 1.2685991718695018, 1.3205164586275118, 1.3625264103401922, 1.402559096528437, 1.4344247714962925, 1.464150656827187, 1.4872151576637103, 1.5080135398991357, 1.5234534076508128, 1.536530561622735, 1.5453766850511446, 1.5517881099460389, 1.554944344556692, 1.5556145368770526, 1.5538746875523795, 1.5496152011333713, 1.5436790938567686, 1.5352057173443496, 1.5256951738964692, 1.5136451363561692, 1.501120619084453, 1.4860706387245606, 1.4710487535778085, 1.4535340070381437, 1.4365042744143006, 1.417036243873534, 1.3984723524862033, 1.377549882577736, 1.357908348834824, 1.336013971498926, 1.3157171527807152, 1.2932959234874415, 1.27270757979126, 1.250138620046867, 1.2295472120210855, 1.20712533376416, 1.186743396407263, 1.1646795440838342, 1.1446557141118592, 1.123091545056523, 1.1035274194236429, 1.0825547875567672, 1.0635213210793282, 1.0432006622345649, 1.0247525285606018, 1.005128481682059, 0.9872973494870384, 0.9683969916467757, 0.9511811861738226, 0.9329976793087591, 0.9164702438013466, 0.8990726603982421, 0.8833529756623398, 0.86686257743416, 0.8521724133334808, 0.8368198428326719, 0.8236406771520002, 0.8115326203190303, 0.8011609646004009, 0.7904686552176894, 0.7792020550980402, 0.7661141938660377, 0.7515422238554271, 0.7356525035776741, 0.7185100335931246, 0.7001101799222226, 0.6803868972912748, 0.6592093128856802, 0.6363767273673285, 0.6116517364557412, 0.5849991903736631, 0.5566066500348954, 0.5314228035331338, 0.5046554198728896, 0.48031992467248713, 0.4546257205978678, 0.43072863919690346, 0.4056317133745003, 0.37932131151032566, 0.35578674725722825, 0.3312384127513529, 0.3057067806040351, 0.282197960573137, 0.2578847995936727, 0.23280418505115316, 0.20698304244491508, 0.18046261903504476, 0.15329944655520011, 0.125565518572174, 0.09734748102754623, 0.06822684944421706, 0.045824962267768776, 0.023155070035891893, 0.00042842210725109757, -0.022905624298326117, -0.0474159103262883, -0.07298111751383805, -0.09961450104204052, -0.1274153478021398, -0.15648127883299592, -0.1866056121900339, -0.21671703522568528, -0.24610363048949438, -0.27473673442216034, -0.302602434889577, -0.3268110486999441, -0.3504122600907489, -0.37341564756974893, -0.39583427044525005, -0.41768372190706243, -0.438981350580887, -0.45667463424960375, -0.4739938503962963, -0.4909508946905532, -0.5113627647488139, -0.5349597515480041, -0.5620007709032222, -0.5912838869371719, -0.6199942472315126, -0.6478148343012128, -0.6752100620261225, -0.7025008016828285, -0.7298878681586597, -0.7575113788981771, -0.7855016785487545, -0.813971390507223, -0.8429944081689226, -0.8726401383967392, -0.9029748666815582, -0.9340631126395278, -0.9659684234134084, -0.9987537630841485, -1.0324815517089525, -1.067213361573962, -1.1030092527996116, -1.1399267242172282, -1.1780192732552974, -1.2173346084629675, -1.2579126467772694, -1.299783549534898, -1.3429661776041406, -1.3874674166551888, -1.4332827629937877, -1.480398324237423, -1.5287940235020834, -1.5784474468747827, -1.6293376110220656, -1.6814480248215404, -1.7347687034859114, -1.7892971112921214, -1.8450382330215396, -1.9020040635943185, -1.960212789779331, -2.019687870431263, -2.080457145572161, -2.1425520421840227, -2.206006901911632, -2.27085843074473, -2.3371452581612098, -2.4049075883299884, -2.474186925551024, -2.545025857659166, -2.6174678834322136, -2.6915572725251047, -2.767338948639733, -2.8448583884175833, -2.9241615301509847, -3.0052946874558675, -3.088304463981913, -3.173237665885626, -3.2601412092530357, -3.3490620199725383, -3.440046923770277, -3.5331425242595955, -3.6283950668105445, -3.7258502861027436, -3.8255532350737966, -3.9275480928129443, -4.031877948870484, -4.138584561029079, -4.247708083404711, -4.359286761384469, -4.473356589419991, -4.589950927270462, -4.709100069682973, -4.830830763825269, -4.955165667999491, -5.082122744350498, -5.211714577027334, -5.343947606193985, -5.47882126667093, -5.616327018305864, -5.756447252988182, -5.89915406088167, -6.044407835194373, -6.192155691303943, -6.342329671608442, -6.494844701759279, -6.649596257519057, -6.806457692563476, -6.9652771673450244, -7.125874105296264, -7.288035085358127, -7.451509057533314, -7.616001738311901, -7.779523774577767, -7.931292090228544, -8.072469163333167, -8.204035478463513, -8.326826986852378, -8.441563220922667, -8.548868759509963, -8.64928986742285, -8.743307570524667, -8.83134805602259, -8.913791036851677, -8.990976546370739, -9.063210508572428, -9.1307693428266, -9.193903799876542, -9.252842180174369, -9.307793051788346, -9.358947559721173, -9.406481399216753, -9.450556510886479, -9.491322544091789, -9.528918126132895, -9.563471967815447, -9.595103830441735, -9.623925374866667, -9.650040909725595, -9.673548053083982, -9.694538319440802, -9.713097642122538, -9.729306839549507, -9.743242032571532, -9.754975019002245, -9.76457361060055, -9.77210193699682, -9.7776207204449, -9.781187524750015, -9.782856981280041, -9.782680994585686, -9.780708929837274, -9.77698778400469, -9.771562342471832, -9.764475322574453, -9.755767505372038, -9.745477856811902, -9.733643639312861, -9.72030051467845, -9.705482639151457, -9.689222751330597, -9.67155225359626, -9.652501287621936, -9.632098804489528, -9.610372629873046, -9.587349524709431, -9.563055241735439, -9.537514578227851, -9.510751425257032, -9.482788813733674, -9.453648957498814, -9.42335329368959, -9.391922520587812, -9.359376633143723, -9.325734956345206, -9.29101617659557, -9.255238371240468, -9.2184190363803, -9.18057511308688, -9.141723012137847, -9.101878637371312, -9.06105740775463, -9.019274278252835, -8.976543759581244, -8.932879936910577, -8.888296487596472, -8.842806697996652, -8.796423479431438, -8.749159383345567, -8.70102661571739, -8.652037050766687, -8.602202243999388, -8.55153344463479, -8.500041607448022, -8.447737404066862, -8.39463123375173, -8.340733233692612, -8.286053288848992, -8.230601041361172, -8.174385899557064, -8.117417046577186, -8.059703448641754, -8.001253862977997, -7.942076845429375, -7.882180757763112, -7.821573774694822, -7.7602638906441195, -7.698258926239879, -7.635566534586151, -7.572194207305314, -7.508149280368426, -7.443438939728563, -7.378070226765754, -7.3120500435567894, -7.245385157979806, -7.1780822086626435, -7.110147709787885, -7.041588055759603, -6.972409525744868, -6.9026182880965115, -6.832220404664932, -6.761221835009342, -6.689628440514136, -6.6174459884195524, -6.5446801557723555, -6.47133653330632, -6.397420629257286, -6.322937873121225, -6.247893619362899, -6.172293151079355, -6.096141683629233, -6.019444368231477, -5.942206295541907, -5.864432499214076, -5.786127959453033, -5.707297606566424, -5.627946324524379, -5.548078954530355, -5.467700298616288, -5.38681512326642, -5.305428163079627, -5.22354412447716, -5.141167689467746, -5.058303519476513, -4.974956259249746, -4.891130540844073, -4.8068309877121695, -4.722062218895867, -4.636828853339825, -4.55113551433803, -4.464986834126621, -4.378387458639369, -4.291342052439838, -4.203855303848989, -4.115931930284704, -4.027576683834819, -3.9387943570835215, -3.8495897892149786, -3.7599678724176617, -3.669933558617721, -3.579491866570252, -3.488647889339186, -3.397406802202741, -3.3057738710188085, -3.2137544610948683, -3.1213540466052163, -3.0285782206058083, -2.9354327057004617, -2.841923365419613, -2.7480562163734366, -2.653837441256466, -2.5592734027784294, -2.46437065861441, -2.3691359774663376, -2.2735763563499463, -2.177699039221691, -2.081511537083206, -1.9850216497113553, -1.8882374891788833, -1.7911675053521143, -1.6938205135764268, -1.5962057247794965, -1.4983327782576998, -1.4002117774432516, -1.3018533289832421, -1.2032685855130145, -1.1044692925519632, -1.0054678400098733, -0.906277318862088, -0.8069115836275288, -0.7073853213785617, -0.6077141281190146, -0.507914593492854, -0.40800439493477264, -0.3080024025512609, -0.20792879622528973, -0.10780519669207962, -0.007654812621034244, 0.09249739390108114, 0.19262452066560984, 0.2926975140842509, 0.3926849294151424, 0.4925526577507619, 0.592263614109174, 0.6917773798142249, 0.7910497909204498, 0.8900324626561679, 0.9886722376114212, 1.0869105425738292, 1.1846826353038415, 1.2819167179234343, 1.378532887613964, 1.4744418875242271, 1.5695436105301102, 1.6637252948478276, 1.756859332172261, 1.8488005840954287, 1.9393830682637654, 2.028415827871347, 2.115677730309868, 2.2009108432325024, 2.2838118933169067, 2.3640210993212336, 2.4411073445185414, 2.5145481422990743, 2.58370202554261, 2.6477696226271945, 2.697508850192829, 2.7423457258674797, 2.775053637745163, 2.80280121815811, 2.8213371037482213, 2.8348735050516845, 2.8415946447473206, 2.843326629519045, 2.8402209576074475, 2.8321715074453864, 2.8209200351659747, 2.8047950402382, 2.7868220840482656, 2.7640634065625975, 2.7405774893191768, 2.7124058470765524, 2.6844334299388852, 2.651883564571416, 2.6202972447441595, 2.5842472094872826, 2.549789681726856, 2.5109856866542044, 2.474290564033017, 2.433368582697771, 2.3949790701685005, 2.3524842952381797, 2.312870667053122, 2.269275852173423, 2.228852609737815, 2.1845762420726764, 2.1437195008122334, 2.0991443574095023, 2.0582089899407285, 2.01370044394832, 1.9730342657361644, 1.9289551539401395, 1.8889043041850468, 1.8456196854181792, 1.8065183771407198, 1.7643826149100688, 1.7265267667079174, 1.685852767696136, 1.6494696459575422, 1.6104942457358138, 1.5757259184912136, 1.5385913729507434, 1.5054996184941793, 1.4702594469993406, 1.4388454008762772, 1.405486747952601, 1.3757142055801495, 1.3441841154853589, 1.315999717803224, 1.286227637501284, 1.2595764271868861, 1.2314912158998517, 1.206328948931324, 1.1798719249355543, 1.156089604274261, 1.1311514849593072, 1.1087364169974991, 1.0852924312840482, 1.0642937409761979, 1.0423888563764936, 1.022938773241145, 1.002706785092365, 0.9851080060971157, 0.9668616046567687, 0.9518992102993137, 0.9389176642874331, 0.9255865703878728, 0.9119245196142851, 0.8966834257393396, 0.8798684604976267, 0.86174837968035, 0.842484829362487, 0.8221722956133379, 0.8008591823209036, 0.7785571915536786, 0.7552444750705034, 0.7308647196778748, 0.7053232668919186, 0.678482351630617, 0.6501641771164004, 0.6201972490401746, 0.5885394762609525, 0.5550130483478846, 0.525505091800837, 0.49428956302677335, 0.46638695736662705, 0.43705075079706335, 0.41032497660220457, 0.38238844384174314, 0.3565639437934497, 0.32971604873171223, 0.30187479172403486, 0.2770535215827924, 0.2514454061434253, 0.225105647333898, 0.19806079894959233, 0.1736540053548829, 0.14876779248616476, 0.12345114889416028, 0.09776211031921977, 0.07176792259251014, 0.0452436183335942, 0.0161867843025174, -0.005160298465491245, -0.026496345837011485, -0.04793919930735581, -0.07023564608586551, -0.0931585686397698, -0.11664165753920716, -0.1407299588496495, -0.16555453185110872, -0.19133891939921355, -0.21838290377399963, -0.2466895899692676, -0.2746091522796453, -0.29901996593653757, -0.3227580486566513, -0.345827541050046, -0.3682383154128562, -0.38715547559839464, -0.40559898704281705, -0.42104917227306876, -0.4361688078463346, -0.45096679146366786, -0.46743292176475526, -0.48588095075799925, -0.5061884041467453, -0.5284394755092738, -0.5527306822074496, -0.5786420656132143, -0.6048739308079844, -0.6306227286457236, -0.6559212557374207, -0.680984421751292, -0.7059929786710173, -0.7311273230686233, -0.7564880324690084, -0.7821574242519012, -0.8082064479721396, -0.8346984420706781, -0.8616914271086844, -0.8892394573740018, -0.9173933093151866, -0.9462006430150423, -0.9757056947259056, -1.0059485213327402, -1.0369638161865362, -1.0687793543705462, -1.101414210626171, -1.1348770204435767, -1.1691646926310655, -1.2042620581872794, -1.2401428608296066, -1.2767722040088711, -1.3141101338686714, -1.3521156554832912, -1.3907503613915568, -1.4299810547098368, -1.469781135043981, -1.5101308732385266, -1.551016897988931, -1.5924312472611115, -1.6343702662149893, -1.676833532347038, -1.719822900611383, -1.7633417008709011, -1.8073940852880084, -1.8519845069349063, -1.897117305517488, -1.9427963766294036, -1.9890249037960854, -2.0358051362805947, -2.0831381990326596, -2.13102392420087, -2.1794606959849077, -2.2284453024986135, -2.277972789700618, -2.328036313530447, -2.3786269871110033, -2.429733720452685, -2.481343050456781, -2.533438959251229, -2.5860026790747814, -2.6390124819810685, -2.6924434526353083, -2.7462672424689814, -2.8004518033581003, -2.854961098898536, -2.9097547911680652, -2.964787900713739, -3.0200104372871297, -3.075366998509517, -3.130796333513913, -3.1862308680819345, -3.241596187524107, -3.296810473037299, -3.3517838867852987, -3.4064179002381865, -3.460604559751486, -3.5142256823720373, -3.5671519739938877, -3.6192420608126334, -3.6703414236405774, -3.720281223085483, -3.7688770016601567, -3.8159272465575653, -3.861211794060764, -3.9044900531420916, -3.945499021617248, -3.9839510631050925, -4.019531406525558, -4.051895321872226, -4.080664915654714, -4.105425476273333, -4.125721282513551, -4.141050765973327, -4.150860888490688, -4.154540555637689, -4.151822944168285, -4.143390499376651, -4.129883922778856, -4.111842073888598, -4.089722824812179, -4.063918786712558, -4.034769359944643, -4.002570099634327, -3.9675800883672707, -3.9300278073687664, -3.8901158611411386, -3.848024815886462, -3.803916345279075, -3.757935829332231, -3.7102145173718206, -3.660871340577895, -3.6100144405356867, -3.5577424659209402, -3.5041456785619256, -3.449306901769543, -3.3933023373597537, -3.3362022727425034, -3.2780716954829967, -3.218970829592149, -3.1589556052932166, -3.0980780719949954, -3.036386762573982, -2.9739270157450894, -2.9107412622165434, -2.8468692794417305, -2.7823484190447005, -2.717213810387771, -2.6514985432497835, -2.5852338321525226, -2.5184491645251463, -2.4511724345928294, -2.383430064623326, -2.315247114950937, -2.246647384014704, -2.177653499490194, -2.108287001458692, -2.0385684184458097, -1.9685173370596905, -1.8981524658714648, -1.8274916941104533, -1.7565521456770479, -1.685350228923497, -1.6139016825990495, -1.542221618319434, -1.4703245598734347, -1.3982244796563372, -1.3259348324823146, -1.253468587004839, -1.180838254953716, -1.1080559183721592, -1.0351332550233514, -0.9620815621179549, -0.8889117784989428, -0.8156345054099425, -0.7422600259600116, -0.6687983233857971, -0.5952590982084611, -0.521651784367702, -0.4479855644120409, -0.37426938381882763, -0.30051196450525147, -0.22672181759450177, -0.15290725548984996, -0.07907640330793772, -0.00523720971737394, 0.06860254277257546, 0.14243522803613778, 0.21625336702969025, 0.29004961893154396, 0.3638167726902235, 0.4375477389551332, 0.5112355423585853, 0.5848733141273753, 0.6584542849980001, 0.7319717784156957, 0.8054192039948864, 0.8787900512231377, 0.9520778833902792, 1.02527633172665, 1.0983790897321437, 1.1713799076847253, 1.244272587311059, 1.3170509766085798, 1.3897089648032748, 1.4622404774346158, 1.5346394715542206, 1.6068999310267107, 1.6790158619244002, 1.7509812880035207, 1.8227902462538934, 1.8944367825132609, 1.9659149471337667, 2.0372187906972257, 2.1083423597648494, 2.179279692658359, 2.250024815259936, 2.320571736825979, 2.390914445805416, 2.461046905653668, 2.530963050637262, 2.600656781618511, 2.670121961812988, 2.739352412513191, 2.808341908768284, 2.877084175014528, 2.9455728806447237, 3.0138016355113266, 3.08176398535313, 3.1494534071361686, 3.21686330430191, 3.2839870019105795, 3.350817741672393, 3.41734867685418, 3.483572867053103, 3.5494832728250953, 3.6150727501572018, 3.680334044771336, 3.7452597862476997, 3.809842481953597, 3.8740745107633265, 3.937948116556882, 4.001455401478697, 4.064588318941785, 4.127338666359959, 4.189698077587718, 4.251658015049901, 4.313209761539443, 4.374344411660032, 4.435052862890327, 4.495325806244802, 4.555153716501783, 4.614526841971465, 4.6734351937702465, 4.7318685345692675, 4.789816366779505, 4.847267920135042, 4.90421213863142, 4.960637666773551, 5.016532835085531, 5.071885644825925, 5.126683751853971, 5.180914449582741, 5.234564650951781, 5.287620869345774, 5.340069198378446, 5.39189529045687, 5.443084334027484, 5.493621029405047, 5.543489563066797, 5.5926735802915815, 5.641156156005979, 5.688919763690607, 5.735946242182264, 5.782216760192864, 5.82771177834613, 5.872411008517062, 5.916293370229433, 5.959336943846899, 6.001518920263145, 6.042815546760296, 6.083202068674594, 6.122652666460471, 6.161140387702286, 6.198637073564957, 6.235113279119114, 6.270538186902703, 6.304879513002652, 6.338103404852148, 6.370174329830936, 6.401054953636946, 6.430706007260298, 6.459086141228336, 6.48615176560164, 6.511856873985896, 6.536152849569171, 6.55898825089338, 6.580308574718143, 6.600055992920913, 6.618169059883618, 6.634582386228809, 6.649226274072284, 6.6620263081122735, 6.672902895869388, 6.681770749157697, 6.688538297378467, 6.693107021397372, 6.695370694519646, 6.695214514291823, 6.692514105396016, 6.68713436955668, 6.67892815289947, 6.667734694231553, 6.6533778087790445, 6.635663750376475, 6.614378680050416, 6.589285649125373, 6.5601209786155605, 6.526589881204048, 6.488361123819757, 6.445060462193895, 6.396262485522678, 6.341480376773554, 6.280152902381585, 6.211627662321122, 6.135139205743241, 6.049779960868265, 5.954460888332923, 5.847857070952724, 5.743966182323339, 5.628107424568336, 5.521392737919828, 5.403344078842647, 5.2952096486103795, 5.176518309888013, 5.068234837133148, 4.950091161613638, 4.842630797991032, 4.725938667630586, 4.620040744134598, 4.505480654722835, 4.401701860038166, 4.289779521995114, 4.188533303480039, 4.079617869430049, 3.9812060524692408, 3.875560907227929, 3.7801997992785745, 3.6780081455192795, 3.5858509303728816, 3.487237965867473, 3.398394868095035, 3.3034480374965645, 3.218005369472117, 3.1267937928413976, 3.0448322788895887, 2.957425670383885, 2.8790368967279467, 2.7955225675525925, 2.720819672058781, 2.641313187355461, 2.570428871563974, 2.495070642908971, 2.4281360330902113, 2.357066782226991, 2.2941735083224097, 2.2274914538039816, 2.1686535596210077, 2.106371810647319, 2.051508564613241, 1.9935358616561647, 1.9424827616487899, 1.8886354590566754, 1.8411731200889305, 1.7912070182259587, 1.7470928119742255, 1.7007381141304343, 1.6597316082477742, 1.6167209937863463, 1.5786015082657232, 1.538689328510452, 1.5032677630591755, 1.4662426422100794, 1.4333067388820444, 1.3989489857484343, 1.3683284215754807, 1.3364538108340012, 1.3081042715448776, 1.2786567295502098, 1.2526157020757096, 1.2256278638640923, 1.2020761345774469, 1.1777305708869874, 1.1571677358245365, 1.1383882032304837, 1.1220917542831454, 1.1054082544855277, 1.0883646719120272, 1.0699824585229396, 1.0498302311422942, 1.0282753709667203, 1.0055621746018866, 0.9818550119249913, 0.9572673951634127, 0.9318448487717242, 0.9055210596346052, 0.878221643154073, 0.8498628701330204, 0.8203501659351906, 0.7895763461106624, 0.7574195549182994, 0.7237408843170641, 0.6883816799093933, 0.6550256554379904, 0.6200173988259088, 0.583189449506533, 0.5483500539809689, 0.5116649312288354, 0.47934076956769756, 0.4453773852559663, 0.41532198446996316, 0.38393522102076844, 0.3556298535302703, 0.3262517992224366, 0.29932767788405307, 0.2715435364452493, 0.24295520931957107, 0.2175961819409904, 0.19163290627237123, 0.16513171394279497, 0.13813575481496917, 0.11378289567064737, 0.08913069608241114, 0.06423427405165226, 0.03915579911612191, 0.013963408461148422, -0.01245600154775334, -0.03302152062167285, -0.05376343671695722, -0.07439546604883408, -0.094876891060323, -0.1155572058589005, -0.13656733409408595, -0.15790849485352682, -0.17964959300041072, -0.2019281721177314, -0.22497420772266818, -0.24916484731354233, -0.2749762521493906, -0.30120133176358665, -0.32271862217073854, -0.3435960683146858, -0.36148360804916874, -0.3788887958747066, -0.39292969589769816, -0.4066544602054168, -0.4200703661866933, -0.43442360406248326, -0.4502201030966204, -0.46723407636697484, -0.48540652173357873, -0.5047643799597052, -0.5253750154919314, -0.5472420703730841, -0.5700756917740081, -0.5932120458813527, -0.6161209433186207, -0.6386923102903723, -0.6610347862979675, -0.6832864746309741, -0.705546315062523, -0.7278955499923119, -0.7504014588436758, -0.7731208686269476, -0.79610258490591, -0.8193889077769464, -0.8430164092349444, -0.8670160983577171, -0.8914130509089403, -0.9162255616599126, -0.941463903238273, -0.9671288535334079, -0.9932102820491052, -1.0196862296069693, -1.0465229912598866, -1.0736766031638885, -1.1010957762171245, -1.1287258105991145, -1.1565126319387222, -1.1844060612533196, -1.212361777968705, -1.2403419228031056, -1.2683146493400956, -1.2962530609563412, -1.3241339156802177, -1.3519363525813388, -1.379640769192336, -1.4072278924101336, -1.4346780364559215, -1.461970519971008, -1.4890832087258694, -1.5159921525773454, -1.5426712903496935, -1.5690922018368467, -1.5952238909974743, -1.6210325884096584, -1.6464815641091057, -1.6715309442149207, -1.6961375264148593, -1.720254590578995, -1.743831701606241, -1.7668145022129864, -1.789144493742121, -1.810758803363953, -1.8315899361727153, -1.8515655107944162, -1.8706079771364659, -1.8886343148996372, -1.905555711433586, -1.9212772174364412, -1.9356973789036223, -1.9487078436080927, -1.9601929402470486, -1.9700292282306078, -1.9780850158912577, -1.9842198446770194, -1.9882839366486527, -1.9901176023193277, -1.9895506055584935, -1.9864014819204705, -1.9804768063432678, -1.971570405689568, -1.959462511052207, -1.9439188441115725, -1.924689631094884, -1.9015085370204705, -1.8740915118898207, -1.8421355392807612, -1.8053172763834116, -1.763291572744549, -1.7156898529677562, -1.6621183460554956, -1.6021561410001126, -1.535353044377877, -1.4612272110261388, -1.3792625128186777, -1.2889056030656632, -1.1895626244090773, -1.080595495448882, -0.9613176951379164, -0.8309894422078862, -0.6888121379095237, -0.533921900801591, -0.374034771907017, -0.21361957019424607, -0.05293489093121189, 0.10781193845438036, 0.26845308566192655, 0.4288515541241703, 0.588894708349242, 0.7484893617044224, 0.9075580006573811, 1.0660358482770103, 1.2238685560682614, 1.381010372113204, 1.5374226743864527, 1.693072786959205, 1.8479330174434947, 2.001979868984074, 2.155193391082093, 2.3075566416710513, 2.459055238970728, 2.6096769862581484, 2.759411556222404, 2.908250224283948, 3.0561856423643645, 3.20321164624061, 3.3493230909115357, 3.494515709434064, 3.6387859915017953, 3.7821310786976694, 3.92454867387908, 4.066036962584891, 4.206594544699632, 4.346220374899136, 4.48491371063442, 4.622674066604822, 4.759501174832723, 4.895394949583924, 5.030355456491445, 5.164382885332233, 5.297477525984818, 5.429639747163819, 5.560869977580685, 5.691168689230655, 5.820536382542714, 5.948973573167576, 6.076480780205086, 6.203058515698853, 6.3287072752504905, 6.453427529617932, 6.5772197171858915, 6.700084237205578, 6.822021443715081, 6.943031640060617, 7.063115073951389, 7.182271932984297, 7.3005023405854015, 7.417806352320194, 7.534183952527653, 7.649635051241956, 7.764159481366445, 7.877756996070096, 7.990427266379189, 8.10216987893784, 8.21298433391826, 8.322870043058863, 8.431826327813152, 8.539852417593213, 8.646947448092822, 8.753110459677814, 8.85834039583047, 8.962636101637031, 9.065996322309982, 9.16841970173393, 9.269904781027005, 9.370449997110258, 9.470053681278376, 9.568714057763982, 9.666429242288647, 9.76319724059664, 9.859015946964066, 9.953883142679526, 10.047796494488612, 10.140753553001087, 10.232751751053863, 10.323788402023776, 10.413860698089854, 10.502965708437193, 10.591100377399728, 10.678261522536975, 10.764445832641567, 10.84964986567249, 10.933870046609274, 11.017102665225746, 11.099343873774204, 11.180589684580513, 11.260835967542313, 11.340078447527137, 11.418312701665863, 11.495534156534843, 11.57173808522412, 11.646919604284285, 11.721073670547913, 11.794195077819902, 11.866278453428642, 11.937318254635269, 12.007308764891162, 12.076244089938475, 12.144118153747083, 12.210924694278672, 12.276657259072254, 12.341309200639651, 12.40487367166551, 12.4673436200007, 12.528711783439388, 12.588970684269519, 12.648112623586366, 12.706129675356951, 12.763013680222812, 12.818756239028659, 12.87334870606405, 12.926782181999917, 12.97904750650939, 13.030135250552542, 13.080035708308449, 13.128738888738052, 13.176234506753747, 13.2225119739788, 13.267560389071486, 13.311368527590771, 13.3539248313776, 13.395217397423625, 13.435233966200505, 13.473961909414921, 13.51138821715899, 13.547499484418033, 13.58228189689838, 13.615721216132576, 13.647802763818925, 13.678511405347448, 13.707831532460249, 13.735747044992065, 13.762241331631724, 13.787297249638769, 13.810897103448706, 13.833022622090363, 13.85365493533663, 13.87277454849886, 13.890361315772667, 13.906394412032592, 13.920852302963233, 13.933712713408303, 13.944952593804507, 13.954548084558896, 13.962474478213611, 13.968706179228098, 13.973216661194128, 13.975978421280912, 13.976962931686572, 13.976140587855772, 13.973480653192773, 13.968951199979285, 13.962519046170996, 13.954149687717468, 13.9438072260117, 13.931454290033082, 13.917051952702085, 13.900559640909233, 13.881935038626601, 13.861133982435954, 13.838110348737207, 13.812815931808252, 13.785200311795315, 13.755210711591994, 13.722791841443213, 13.687885729958902, 13.650431540051363, 13.610365368118318, 13.567620024562748, 13.522124793481058, 13.47380516904606, 13.422582565754407, 13.368373999293578, 13.311091734293935, 13.25064289466009, 13.186929031491221, 13.119845642797953, 13.0492816382623, 12.975118741135374, 12.897230817989643, 12.815483125374861, 12.729731460401924, 12.639821199813927, 12.54558620908178, 12.44684759932628, 12.343412305249998, 12.23507145147957, 12.121598467460013, 12.002746901846946, 11.878247875610228, 11.747807097963538, 11.611101349640528, 11.467774312361056, 11.317431589343236, 11.159634716224543, 10.993893900154031, 10.819659140298477, 10.636309265422051, 10.443138258080989, 10.239337996292456, 10.023976194156694, 9.795967800826261, 9.554037318851897, 9.296668250064714, 9.02203385248374, 8.76036006017679, 8.479753595416625, 8.230458834008974, 7.963268980175655, 7.725864688491592, 7.472201092463856, 7.246806746440897, 7.006569333318927, 6.793087174300191, 6.566000810435885, 6.364185689480509, 6.149859033806285, 5.959369021846123, 5.757338782848543, 5.577774151559633, 5.3875395840789455, 5.218474061334425, 5.0395251181149545, 4.880532189687411, 4.712373765901858, 4.563049693949174, 4.405223360285637, 4.265207022898531, 4.117310024409822, 3.9862971388555444, 3.8479957196422263, 3.7257415945142607, 3.596772052932405, 3.483074898265202, 3.36322361662676, 3.2578846487254487, 3.1469431276681634, 3.0497133895438533, 2.947419281509527, 2.8579575573214124, 2.763948197911393, 2.681812074667052, 2.59561425655088, 2.5202854859258603, 2.4413426315919686, 2.3722694089566736, 2.299987350443277, 2.2366247831134665, 2.170415800307302, 2.1122553374843998, 2.051570253141876, 1.9981576432278942, 1.9425053064393998, 1.893450710719171, 1.8424086778371123, 1.797322194798569, 1.750487277079656, 1.7090238923598908, 1.6660321466406618, 1.6280336071311345, 1.5887073253560666, 1.5541171334889174, 1.518389053817067, 1.487312526809587, 1.4552840835060035, 1.4281514759171663, 1.4032006887806263, 1.3810330992145452, 1.3631035410424448, 1.3448232500598158, 1.324019200938881, 1.3005167767096963, 1.275067877311869, 1.2481317938859822, 1.220013094694439, 1.1909281056844863, 1.1610160160494265, 1.1302157181593162, 1.0984588734321876, 1.0656687443242019, 1.031758791208101, 0.9966309795970886, 0.9642458769405191, 0.9307182030676291, 0.8959469342013427, 0.8598173266430514, 0.8221985548953759, 0.7874476294603058, 0.7512873375717996, 0.713582920972715, 0.6741817511422399, 0.6329111450039935, 0.5895764645539402, 0.5502647822172996, 0.5090299880126972, 0.4726343715049561, 0.4344830815226247, 0.40149004999715154, 0.36710156237288594, 0.3367167804005678, 0.3052636255700372, 0.27691240368436937, 0.24774494008622672, 0.22100465819001944, 0.19365044625289576, 0.16575055527541793, 0.14084591773174776, 0.11556721230229734, 0.08998217906569965, 0.06414573500624438, 0.038121596158649275, 0.011981534677004406, -0.014195913951092511, -0.04032727796081765, -0.06387730736180203, -0.0816232787249438, -0.09924261305161802, -0.1171406458621586, -0.1355820487630849, -0.15432427637043178, -0.17328638717461903, -0.19247735187635706, -0.2119629865096853, -0.23186500505116972, -0.2523876071068588, -0.27389552969969094, -0.29706791262569404, -0.31845188035585437, -0.3368451205768762, -0.3546703832076675, -0.36830477226689, -0.37947465781751977, -0.3904068980863402, -0.40287591865673456, -0.41658203976481545, -0.43119240785932145, -0.4465570884607086, -0.4626190374213731, -0.4793774201540863, -0.4968654092354673, -0.5151238243139586, -0.534147740110213, -0.553790725931912, -0.5737128140883268, -0.5935471768689718, -0.6131298439409891, -0.6324678838765025, -0.651617332435997, -0.6706425620155221, -0.6896011292891129, -0.7085409900544886, -0.727500891270092, -0.7465112000603418, -0.7655944967568661, -0.7847657200161616, -0.8040318416768673, -0.8233911272124188, -0.8428321162789038, -0.862332575254496, -0.881858820552343, -0.9013659190259102, -0.9207992128777269, -0.9400972819463821, -0.9591959027508985, -0.9780320837992704, -0.9965471902403932, -1.0146885778726864, -1.032409745467524, -1.0496694302400549, -1.0664301792866728, -1.0826568194295751, -1.0983150702463256, -1.113370397093627, -1.1277871108301996, -1.1415276792582514, -1.1545522033445261, -1.1668180137929636, -1.1782793513396028, -1.1888871026741659, -1.1985885712931799, -1.2073272684110181, -1.2150427133548563, -1.22167023597761, -1.22714077577603, -1.231380673914049, -1.2343114553589625, -1.235849599024879, -1.2359062942715067, -1.2343871823853323, -1.2311920818516435, -1.2262146963158989, -1.219342304175948, -1.2104554287410902, -1.1994274878676736, -1.1861244219299831, -1.1704042989070687, -1.152116895292728, -1.1311032514208514, -1.1071951997168232, -1.0802148642145197, -1.0499741295938647, -1.0162740777963055, -0.9789043901440402, -0.937642712661662, -0.8922539821314475, -0.8424897101372176, -0.7880872221324818, -0.728768848227249, -0.6642410620949003, -0.5941935639690336, -0.5182983032997824, -0.4362084361284687, -0.3475572115900829, -0.2519567813682486, -0.148996925022044, -0.03824368321226331, 0.08076211034120642, 0.20850640864149894, 0.34550365510880776, 0.49229862534768914, 0.6494684236243479, 0.8176246537349312, 0.9974157877724523, 1.1895297610943087, 1.3946968279739866, 1.6136927201319093, 1.8473421607348537, 2.0965227997009777, 2.362169654067216, 2.645280161057557, 2.946919984203632, 3.2648608461539954, 3.5779722978601245, 3.886398018939265, 4.19027948477033, 4.489753761225146, 4.784952312236599, 5.076000428086972, 5.36301703449232, 5.6461147333986705, 5.9253999817848975, 6.2009733491314805, 6.472929815873022, 6.741359088954968, 7.00634591951338, 7.267970413453979, 7.526308329468422, 7.781431361458999, 8.033407403935712, 8.282300799957929, 8.528172571844427, 8.771080635261129, 9.011079997526316, 9.24822294108967, 9.482559193189518, 9.714136082691917, 9.94299868508639, 10.169189956568765, 10.392750858088245, 10.613720470169604, 10.832136099268984, 11.048033376357422, 11.261446348368626, 11.472407563098487, 11.680948148086358, 11.887097883968362, 12.090885272747805, 12.29233760138548, 12.491481001082166, 12.688340502588002, 12.882940087848965, 13.07530273826829, 13.265450479840068, 13.453404425390172, 13.639184814133797, 13.82281104875174, 14.004301730156406, 14.183674690119846, 14.360947021907082, 14.536135109055177, 14.709254652426175, 14.880320695647447, 15.04934764904611, 15.216349312180528, 15.381338895051078, 15.544329038084472, 15.705331830957597, 15.86435883033937, 16.021421076613326, 16.17652910964412, 16.32969298363761, 16.48092228115512, 16.630226126324278, 16.7776131972897, 16.923091737950884, 17.06666956901959, 17.208354098434423, 17.348152331166517, 17.486070878442874, 17.622115966422765, 17.756293444342997, 17.888608792168352, 18.019067127759335, 18.147673213583868, 18.27443146299026, 18.399345946061164, 18.522420395063723, 18.643658209510185, 18.76306246084424, 18.880635896768528, 18.996380945220697, 19.11029971801212, 19.222394014139816, 19.332665322777896, 19.4411148259594, 19.54774340095477, 19.65255162235525, 19.755539763866224, 19.856707799814558, 19.956055406378283, 20.053581962538857, 20.149286550761705, 20.24316795740689, 20.335224672873128, 20.42545489147407, 20.51385651105262, 20.600427132329017, 20.685164057984416, 20.76806429148057, 20.849124535611324, 20.928341190788025, 21.00571035305308, 21.081227811818714, 21.15488904733154, 21.226689227851825, 21.296623206551004, 21.36468551811361, 21.43087037504354, 21.49517166366646, 21.55758293981819, 21.618097424215968, 21.676707997497132, 21.733407194923004, 21.78818720073199, 21.841039842131142, 21.891956582917224, 21.94092851671023, 21.98794635978684, 22.033000443499574, 22.076080706263667, 22.117176685093046, 22.156277506670182, 22.193371877926193, 22.22844807611108, 22.261493938330663, 22.292496850525563, 22.321443735865564, 22.34832104252895, 22.373114730841937, 22.395810259738347, 22.416392572511416, 22.43484608181461, 22.45115465387386, 22.46530159187109, 22.477269618446762, 22.487040857278096, 22.49459681367528, 22.499918354140508, 22.502985684830904, 22.503778328854054, 22.502275102329826, 22.498454089140584, 22.492292614285535, 22.483767215754717, 22.47285361482256, 22.459526684658865, 22.443760417146045, 22.425527887780987, 22.404801218528938, 22.381551538490637, 22.355748942222586, 22.32736244554795, 22.296359938674104, 22.262708136415824, 22.22637252531253, 22.187317307395855, 22.14550534035992, 22.10089807384054, 22.053455481505445, 22.003135988608054, 21.94989639463739, 21.893691790655573, 21.834475470869037, 21.772198837940508, 21.70681130149435, 21.638260169203534, 21.566490529794695, 21.491445127218114, 21.413064225162096, 21.331285460984628, 21.246043688035567, 21.157270805220495, 21.064895572516974, 20.968843411003697, 20.86903618577298, 20.76539196989944, 20.657824787401083, 20.546244332844534, 20.43055566494824, 20.310658871154843, 20.186448699729247, 20.057814155436528, 19.924638054275636, 19.786796532060833, 19.644158500840557, 19.49658504618959, 19.343928757282228, 19.18603298030645, 19.02273098416618, 18.853845025477245, 18.679185297516966, 18.49854874493916, 18.311717722583925, 18.118458472442622, 17.91851938756067, 17.711629025099953, 17.497493822584854, 17.275795461014, 17.04618780541312, 16.808293336612884, 16.56169896640176, 16.305951100007718, 16.040549772817485, 15.764941639006242, 15.478511523598645, 15.18057215947675, 14.870351606761934, 14.546977678374224, 14.209458448743998, 13.856657565477995, 13.487262556752649, 13.099743532459168, 12.692298449084605, 12.262779157909337, 11.808589259998488, 11.39801507094992, 10.961495387953255, 10.577688378788096, 10.170192211138984, 9.811629543633535, 9.431781603035517, 9.097358228156457, 8.743717775201851, 8.432236135163036, 8.103337078716496, 7.81357415845408, 7.507976336537624, 7.238732901394084, 6.955061257793681, 6.705199825959832, 6.4421752919991295, 6.210648848186227, 5.967111833555698, 5.752981576712046, 5.527905334730297, 5.3303415981633275, 5.122828535779253, 4.9410867768581355, 4.7503386796140425, 4.583707284813882, 4.4089659947364686, 4.256697853894609, 4.097169457375417, 3.958426107247765, 3.813219543564708, 3.687055930864539, 3.5551657524545757, 3.4405602155380617, 3.3208981165041025, 3.2168075740497217, 3.108261224566265, 3.013676334895346, 2.9151684986581983, 2.829154224158649, 2.7396863876395074, 2.661405647982877, 2.5800834413132416, 2.5088081240493354, 2.434852933961004, 2.36996821690887, 2.3027212467365166, 2.2435074402774364, 2.1822481659875144, 2.1283202641768737, 2.0726215439526388, 2.023728090619155, 1.9733162737478487, 1.929371160620399, 1.8841459240810605, 1.8453345057749546, 1.8054764261743947, 1.772609325809308, 1.7432584763483894, 1.719064748203058, 1.6944303748563565, 1.667862844280112, 1.6378485647748764, 1.6054048291631138, 1.5711689371215536, 1.5355676051914005, 1.4989082118549897, 1.461327992978985, 1.4227613408059188, 1.3831349199937069, 1.3423663894927507, 1.300362851242149, 1.2617743316905814, 1.2220353143169869, 1.181050288046441, 1.1387108270976674, 1.0999211751602262, 1.059870408200636, 1.0184469573093382, 0.9755235530904619, 0.9365084497897018, 0.8961139038177954, 0.854212082038062, 0.810657212578804, 0.7706591990204238, 0.7291097317922066, 0.6858613290288663, 0.6407478246008587, 0.5935828003578516, 0.5502937353996555, 0.5051043361368182, 0.46452742918922696, 0.4221105671294122, 0.3861941378914686, 0.3488062601366154, 0.31645742862259313, 0.2830392819400048, 0.2534145331445249, 0.22301445484581403, 0.19553903042453175, 0.16751019400404488, 0.13901260865099432, 0.11405710262101493, 0.08879385569899353, 0.06330229493300372, 0.037638713884218154, 0.014746904310600202, -0.008182299372529183, -0.031091304185546627, -0.05392232636475206, -0.07732075504465731, -0.09853153644363102, -0.11378611986172213, -0.1289019540392248, -0.14446960034068837, -0.16074127745999647, -0.17736162620780876, -0.19418761878860588, -0.21118466670880706, -0.22837579719991538, -0.24582735734176459, -0.2636567910617235, -0.2820735873738845, -0.30151735497078097, -0.3230349881648518, -0.3390904837826104, -0.352082942380403, -0.3633164581661549, -0.3742671407241323, -0.38636444867941355, -0.39925969430193275, -0.41268216650214035, -0.42650968861541444, -0.4406936353804076, -0.4552263911512479, -0.4701245913169166, -0.4854172621100326, -0.5011313312109863, -0.5172660658997638, -0.5337513655595838, -0.5504140022482058, -0.567025179515715, -0.5834194078222273, -0.5995284046052857, -0.615350279128512, -0.6309095655150947, -0.6462351690676958, -0.6613515256815737, -0.676275651582875, -0.6910160909615088, -0.7055724614013484, -0.7199350066184319, -0.7340840142917844, -0.7479891990560211, -0.761609339171266, -0.7748926043728828, -0.7877780334725166, -0.8001983773861542, -0.8120839877880577, -0.8233668509704481, -0.8339836729571305, -0.843877318469748, -0.852996608059852, -0.861295001838133, -0.8687288210089851, -0.8752554926323494, -0.8808320636830475, -0.8854140488291213, -0.8889545798364322, -0.8914037905000763, -0.8927083699877897, -0.8928112291926774, -0.8916512386984896, -0.8891630091038571, -0.885276693713566, -0.8799178002038213, -0.8730070023852372, -0.8644599462065896, -0.8541870461106721, -0.8420932691320383, -0.8280779049366377, -0.8120343204886191, -0.7938496983480476, -0.7734047577564156, -0.7505734577489297, -0.7252226815672482, -0.6972119016228434, -0.6663928242449016, -0.6326090133579136, -0.5956954922196237, -0.5554783222426768, -0.5117741578479424, -0.4643897762304455, -0.41312158082208755, -0.3577550771221168, -0.2980643194920398, -0.23381132739640284, -0.1647454694093671, -0.09060281329196045, -0.011105440156763053, 0.07403927926337475, 0.1651394484920752, 0.2625194517161608, 0.3665208052935771, 0.47750305716307456, 0.5958447372653045, 0.7219443622049824, 0.8562214978940088, 0.9991178841412625, 1.1510986255746285, 1.3126534538767882, 1.4842980667154004, 1.666575549554742, 1.8600578872485953, 2.065347573226139, 2.283079325361539, 2.513921918820158, 2.758580147978233, 3.017796931735292, 3.2923555788682997, 3.583082233772214, 3.890848526999378, 4.21657446051542, 4.561231564802351, 4.925846374358922, 5.311504280652092, 5.719353838434004, 6.150611624449016, 6.606567779332835, 7.075326877713577, 7.534007902389645, 7.983163301020407, 8.423286087444898, 8.854818547976429, 9.278159384449784, 9.693669614896562, 10.101677481420744, 10.502482559687474, 10.896359222070247, 11.283559574034514, 11.664315958363458, 12.038843102574257, 12.407339969915787, 12.769991362670211, 13.126969317306939, 13.478434323794135, 13.824536395605103, 14.165416012338904, 14.501204953166546, 14.832027036297582, 15.157998777221936, 15.479229976466813, 15.795824245970236, 16.10787948179814, 16.415488289810305, 16.718738369924253, 17.017712863847382, 17.312490670467135, 17.603146732539447, 17.889752297829688, 18.17237515745918, 18.451079863861672, 18.72592793045602, 18.996978014891145, 19.26428608749015, 19.527905586342882, 19.787887560316904, 20.044280801125577, 20.29713196545721, 20.546485688068735, 20.79238468664349, 21.034869859133426, 21.273980374229783, 21.509753755542445, 21.742225960008465, 21.97143145100216, 22.197403266565825, 22.420173083153195, 22.63977127522791, 22.856226971034694, 23.069568104830157, 23.27982146583495, 23.487012744144685, 23.691166573817174, 23.89230657333463, 24.090455383619613, 24.28563470377657, 24.477865324704638, 24.66716716072649, 24.853559279360027, 25.03705992934929, 25.217686567064618, 25.395455881373525, 25.570383817072848, 25.74248559696651, 25.911775742667956, 26.078268094202464, 26.241975828473127, 26.402911476652505, 26.56108694055928, 26.71651350807335, 26.869201867635425, 27.0191621218788, 27.166403800434875, 27.31093587195407, 27.452766755372227, 27.591904330461983, 27.72835594769702, 27.862128437456764, 27.993228118602804, 28.121660806445032, 28.24743182012526, 28.370545989435154, 28.491007661090816, 28.608820704477612, 28.72398851688595, 28.836514028248185, 28.9463997053912, 29.053647555818134, 29.158259131027865, 29.260235529380907, 29.359577398524614, 29.456284937379664, 29.550357897695413, 29.641795585182706, 29.730596860221688, 29.816760138156102, 29.900283389168223, 29.98116413774012, 30.05939946170141, 30.134985990863267, 30.207919905233492, 30.278196932812456, 30.3458123469716, 30.41076096339876, 30.473037136616693, 30.53263475606081, 30.58954724171006, 30.643767539268243, 30.69528811487767, 30.74410094936032, 30.79019753197389, 30.83356885366937, 30.874205399835542, 30.91209714251596, 30.94723353208146, 30.979603488339514, 31.009195391062924, 31.035997069912654, 31.05999579373618, 31.081178259214145, 31.099530578827974, 31.11503826812579, 31.127686232245665, 31.137458751674824, 31.144339467199973, 31.148311364018443, 31.149356754961087, 31.147457262792358, 31.142593801535558, 31.13474655677129, 31.123894964859456, 31.11001769102675, 31.093092606251414, 31.0730967628863, 31.050006368942753, 31.02379676095985, 30.994442375376742, 30.96191671831577, 30.92619233368243, 30.887240769476843, 30.84503254220445, 30.79953709926355, 30.75072277918216, 30.698556769557197, 30.64300506254791, 30.584032407752797, 30.521602262292948, 30.455676737905016, 30.386216544831324, 30.31318093227596, 30.236527625175373, 30.156212757009992, 30.072190798358115, 29.98441448086264, 29.892834716257138, 29.797400510056242, 29.698058869485568, 29.594754705177184, 29.487430726113853, 29.37602732725152, 29.260482469193466, 29.140731549221282, 29.016707262914945, 28.888339455513186, 28.755554962070484, 28.618277435363765, 28.476427160380705, 28.32992085409034, 28.178671449040174, 28.022587859151084, 27.861574725885532, 27.69553214272903, 27.524355355677187, 27.34793443710618, 27.166153930070568, 26.978892459666472, 26.786022307636696, 26.587408945856, 26.382910523704624, 26.172377303602804, 25.95565103811547, 25.732564281016604, 25.502939623493724, 25.266588845247362, 25.02331196852222, 24.7728962010668, 24.515114751550875, 24.249725497987388, 23.976469486087762, 23.6950692300518, 23.405226782853376, 23.106621536363797, 22.798907703291544, 22.481711422449184, 22.154627415653938, 21.817215107794468, 21.468994100106716, 21.10943885894457, 20.737972446125333, 20.35395906926243, 19.956695167027856, 19.545398658832735, 19.119195871859453, 18.67710549726436, 18.21801870126394, 17.74067419427575, 17.243626592769687, 16.725205714130407, 16.18346339249555, 15.616102768086023, 15.020382387607466, 14.3929831345408, 13.83937463235549, 13.252937850664251, 12.740381628540282, 12.19848977441952, 11.724533976764985, 11.224454295987488, 10.786906904330843, 10.326005194575021, 9.922727763832459, 9.498517719620285, 9.127489137918463, 8.737674673681362, 8.397026785089901, 8.03952192634431, 7.727544270659348, 7.400464571549939, 7.115572257797355, 6.81719003916117, 6.557855641257779, 6.2865195290211275, 6.051187961314525, 5.805226846840804, 5.592249804426532, 5.369899808822305, 5.177522620329716, 4.976911137915913, 4.8033160110517965, 4.622506273379207, 4.46588657460931, 4.302955544434342, 4.161589154105994, 4.014704819642408, 3.8870074107528803, 3.7544850274084456, 3.639039716600723, 3.51937298664951, 3.4149417538081606, 3.306814465510317, 3.2123392585011774, 3.1146256368805285, 3.0290134097717276, 2.9406027180357523, 2.8630552468742834, 2.7830980467164856, 2.71309949295977, 2.641040182064626, 2.5782780812905455, 2.5137773156029533, 2.4582379518663378, 2.4012658499075608, 2.3535152095825165, 2.309931303256887, 2.2715507857749806, 2.2408050827405113, 2.2096682017096807, 2.1736110624319487, 2.133180908467738, 2.089733515979652, 2.0441104630094324, 1.996884338777791, 1.9484733357551853, 1.8989590080316918, 1.8482645878577808, 1.7963042461222534, 1.742981560818602, 1.6881876440548513, 1.6389470072922199, 1.588392167409528, 1.5364172298287377, 1.4829019179269014, 1.4347924556261986, 1.3852990281735988, 1.3343031447464335, 1.2873100456557385, 1.2388965695916365, 1.1889368673915346, 1.1430614624541795, 1.0957313185360626, 1.0468143096358387, 1.0018790029101443, 0.9554474301264844, 0.9073819204194334, 0.8629909912098385, 0.8170452564921623, 0.7693993901846211, 0.7198885366773796, 0.6748985133191941, 0.6281981600967332, 0.5796323005616099, 0.5290311920163396, 0.48311144545367973, 0.43525737609383897, 0.39463490946657964, 0.3523164096024722, 0.316826160261197, 0.28012414219944864, 0.24840071706659123, 0.2158484618546498, 0.1870280282747026, 0.15764488765739554, 0.13113764031023423, 0.10426563329820598, 0.07711714353503207, 0.053341820615296735, 0.029417258240485262, 0.005421832658566124, -0.018586937891206762, -0.04254576082067764, -0.06638655129693401, -0.09003779185874813, -0.11342622627906956, -0.131956227721579, -0.14527180659095745, -0.15850947657670691, -0.17172345639998993, -0.18582124526494428, -0.2003652616442516, -0.21515176672412684, -0.23010343678431633, -0.24520538652827678, -0.26048064959414724, -0.2759853445825519, -0.29182534977141905, -0.30823241719142075, -0.3259249774288548, -0.3392177694026501, -0.35218313061182305, -0.36470027470144645, -0.3767774616327669, -0.3890816062023984, -0.4015142955685793, -0.41402752334896314, -0.4266131233838616, -0.43928210925576616, -0.45205495035008775, -0.4649555873851048, -0.47800551539793956, -0.4912148540752508, -0.5045674200715728, -0.5180005059197426, -0.5313962972409807, -0.544611517695804, -0.5575252273093158, -0.5700662658422792, -0.5822056918583566, -0.5939361775959127, -0.6052560532148519, -0.6161607200005078, -0.6266386688942056, -0.6366693741937057, -0.6462222913797446, -0.6552563926138854, -0.6637202802894784, -0.6715531702305805, -0.6786870773942686, -0.6850502544588146, -0.6905713434939186, -0.6951831372398155, -0.6988248221406271, -0.7014422310013603, -0.7029864825897765, -0.7034118322991385, -0.7026734771089518, -0.700725726477243, -0.6975206508612487, -0.6930071538851053, -0.6871303597939684, -0.6798312116618952, -0.6710461994391473, -0.660707161670551, -0.6487411242875359, -0.6350701536023076, -0.6196112096155002, -0.6022759914251841, -0.5829707699815029, -0.5615962054976733, -0.5380471480359779, -0.5122124204434647, -0.48397458318360453, -0.45320968075384027, -0.41978696943671484, -0.3835686261290515, -0.3444094379259248, -0.30215647209055296, -0.2566487259372572, -0.20771675610723658, -0.15518228661789937, -0.09885779496849709, -0.03854607554266135, 0.025960220548008145, 0.0948790701287445, 0.16843958814486779, 0.24688256443650947, 0.3304610283049668, 0.41944084210106736, 0.5141013251876284, 0.614735909672449, 0.7216528294642808, 0.8351758442174853, 0.9556449999057122, 1.0834174278242854, 1.2188681839493019, 1.3623911307137933, 1.5143998633505882, 1.6753286832116336, 1.8456336204399948, 2.0257935087693655, 2.2163111152427333, 2.417714327960547, 2.630557405218173, 2.8554222896149173, 3.0929199911723924, 3.3436920438010764, 3.6084120399118986, 3.887787248655916, 4.182560323810926, 4.493511108335312, 4.821458543402417, 5.167262691352961, 5.5318268833387965, 5.916100004740317, 6.321078933960476, 6.747811154036144, 7.197397560749368, 7.670995497442251, 8.169822054973661, 8.695157686323542, 9.248350201704287, 9.830819230472656, 10.444061267799457, 11.049529447326409, 11.64034665705875, 12.21739602509452, 12.781457553267696, 13.333224753356212, 13.873317924086518, 14.402294869739068, 14.92065964382283, 15.428869749457125, 15.927342120223868, 16.41645812744378, 16.89656780290616, 17.367993423897374, 17.831032575730266, 18.28596078299281, 18.733033782353434, 19.17248949554483, 19.604549750059444, 20.029421786365358, 20.447299583524874, 20.858365029584572, 21.262788958649416, 21.660732072964116, 22.05234576539651, 22.437772855313177, 22.817148248872687, 23.190599533115616, 23.558247511883653, 23.92020669045262, 24.27658571481845, 24.627487770772053, 24.97301094721333, 25.313248567582864, 25.648289492796817, 25.97821839864614, 26.303116030264746, 26.623059435957114, 26.938122182405742, 27.24837455305037, 27.553883731225877, 27.854713969468712, 28.150926746249855, 28.44258091125734, 28.7297328202331, 29.012436460260933, 29.290743566320153, 29.564703729827393, 29.834364499822268, 30.099771477395045, 30.3609684038826, 30.61799724332505, 30.87089825961916, 31.119710088768837, 31.3644698065977, 31.605212992251957, 31.841973787798253, 32.07478495419177, 32.30367792386566, 32.52868285017409, 32.74982865389989, 32.967143067021745, 33.18065267391743, 33.390382950170775, 33.59635829912796, 33.79860208634601, 33.99713667206177, 34.191983441795934, 34.3831628352059, 34.57069437328261, 34.75459668399141, 34.93488752643596, 35.111583813629785, 35.28470163394722, 35.454256271322855, 35.62026222425997, 35.78273322371299, 35.941682249889304, 36.09712154802877, 36.249062643202535, 36.39751635417614, 36.5424928063762, 36.684001443997424, 36.822051041285334, 36.956649713023566, 37.08780492425801, 37.21552349928129, 37.33981162990321, 37.46067488303113, 37.57811820757739, 37.69214594071667, 37.80276181350631, 37.909968955885255, 38.01376990106916, 38.11416658934727, 38.21116037129763, 38.304752010425176, 38.39494168523399, 38.4817289907373, 38.56511293941101, 38.64509196159669, 38.72166390535296, 38.794826035758156, 38.864575033666014, 38.93090699390815, 38.99381742294753, 39.05330123597265, 39.10935275343158, 39.16196569699776, 39.21113318496098, 39.25684772703148, 39.299101218552316, 39.33788493410218, 39.373189520479585, 39.405004989053, 39.43332070745738, 39.45812539062386, 39.479407091120365, 39.49715318878079, 39.51135037960165, 39.52198466388029, 39.52904133356569, 39.53250495879292, 39.532359373572774, 39.528587660594, 39.52117213511163, 39.510094327871954, 39.49533496703583, 39.47687395905468, 39.45469036844827, 39.42876239643004, 39.399067358324814, 39.36558165971527, 39.32828077125377, 39.28713920206571, 39.24213047166995, 39.193227080332605, 39.14040047776855, 39.08362103009132, 39.02285798491485, 38.95807943449012, 38.889252276764225, 38.816342174229106, 38.73931351042272, 38.65812934393558, 38.57275135975677, 38.483139817788825, 38.38925349833924, 38.29104964438514, 38.188483900387205, 38.081510247412936, 37.97008093430476, 37.854146404610184, 37.73365521895909, 37.60855397255109, 37.47878720738531, 37.344297318821425, 37.205024456036874, 37.06090641588926, 36.91187852965641, 36.75787354206725, 36.59882148198121, 36.43464952401056, 36.26528184030277, 36.09063944162196, 35.91064000677363, 35.72519769931631, 35.53422297038671, 35.33762234633024, 35.13529819968459, 34.92714850189241, 34.71306655592541, 34.49294070678754, 34.26665402760966, 34.03408397876817, 33.795102037123264, 33.54957329210195, 33.297356004908515, 33.03830112664087, 32.77225177050934, 32.49904263265939, 32.21849935531612, 31.930437825017243, 31.63466339761278, 31.330970040398576, 31.01913938021654, 30.698939644517136, 30.370124480187172, 30.032431632311962, 29.685581461871735, 29.329275277517752, 28.96319345189296, 28.58699328721146, 28.200306587746315, 27.80273688809741, 27.39385627517103, 26.973201728061454, 26.540270882621595, 26.09451710532991, 25.635343732517715, 25.162097294000045, 24.6740594916293, 24.17043763906782, 23.6503531830978, 23.112827810285424, 22.55676648287487, 21.98093652502453, 21.38394156532654, 20.76418868784837, 20.119846478192752, 19.44879065315606, 18.748532430648062, 18.01612238080894, 17.24801857164001, 16.53826600731975, 15.78966970293046, 15.139313930225173, 14.453138954606713, 13.856820209276579, 13.229037046112659, 12.683667646750223, 12.110600519963835, 11.613215357860689, 11.091440397193322, 10.63919370596235, 10.165494199078541, 9.75559442816816, 9.32686674836088, 8.956486562135607, 8.569628251546458, 8.23583775309227, 7.887666426610104, 7.587429553416883, 7.274672370419609, 7.00491122526998, 6.724267932776858, 6.481964702835983, 6.230211306519959, 6.012508251640651, 5.786599462941604, 5.590871847669747, 5.388015704778555, 5.211911930700582, 5.029610276177071, 4.871065643048554, 4.707126944201441, 4.564361484700015, 4.416896761453714, 4.288222778870141, 4.15549387607777, 4.039420236895179, 3.9198724916723555, 3.81545315655086, 3.708070915793747, 3.614632018744079, 3.5186939550099843, 3.435928806352816, 3.3510947733957686, 3.279316869422966, 3.2058845823943596, 3.146999972592778, 3.09622092893833, 3.044593758364871, 2.9922341284425116, 2.9371410075299518, 2.877545682827906, 2.814740947726472, 2.749643633695948, 2.6829153968420196, 2.614805737332632, 2.5452220696364276, 2.474061051181062, 2.4012067675240845, 2.326528508484442, 2.2596788984232465, 2.191212543761202, 2.121003277931205, 2.04890788438309, 1.9847512781305936, 1.918933011587159, 1.8513152107681414, 1.7896907752143851, 1.7263972567010737, 1.661294674023968, 1.6023671811079891, 1.5417665267765874, 1.4793621069383183, 1.4231190902845239, 1.3652099287745243, 1.3055102080745622, 1.251799363806826, 1.1964344604512926, 1.1392935045877937, 1.0878366231927106, 1.034737316537747, 0.9798715621980297, 0.9302417352967192, 0.8789744973082398, 0.825938119184435, 0.7774645832620861, 0.7273416693727142, 0.6754223723849906, 0.6215403900679395, 0.5726376265766915, 0.5219574972769606, 0.46935860135566654, 0.42218087752771727, 0.3731308061790783, 0.33277540707769104, 0.2909077193082067, 0.25597402237968137, 0.22004905194415475, 0.1891010516920206, 0.15751767135377887, 0.12966439411592146, 0.10141692299080475, 0.07604094469744406, 0.050447075538029046, 0.024726203385371792, 0.002262010666499695, -0.02023244356598735, -0.042680067640727654, -0.06502477298296912, -0.08720644960248979, -0.10916200535606047, -0.13082668097690364, -0.1530237370063642, -0.16794007601900635, -0.1792280510992751, -0.19040427424828527, -0.20170063537663083, -0.21387336708194288, -0.22650725112897513, -0.2393984037128325, -0.2524545183520547, -0.26563725273366684, -0.278935408423956, -0.29235221841761255, -0.3059074495627081, -0.31968642563049926, -0.33418037465123457, -0.34841332442191325, -0.3619777918609721, -0.374887980037893, -0.3871615145979529, -0.39881864149298296, -0.40988150327448114, -0.4207767905144596, -0.43156442031570574, -0.4422689511153127, -0.45290913837629515, -0.46349535165813543, -0.4740254926049757, -0.48447813723661337, -0.4948038203338459, -0.5049222667359018, -0.5147318030124907, -0.524130413663917, -0.5330364465091976, -0.5413941155290034, -0.5491654543515545, -0.5563191032042999, -0.5628219696457852, -0.5686346706851705, -0.5737089923726227, -0.5779873543383941, -0.5814037865429995, -0.583886466906765, -0.585361679016319, -0.585758446476976, -0.5850124472802349, -0.5830678196853973, -0.5798764130222422, -0.575395222598066, -0.5695832604200882, -0.5623988196374189, -0.5537975126955516, -0.5437310469699329, -0.5321465391247436, -0.5189861650532036, -0.5041869940658745, -0.4876809104947937, -0.46939456633498633, -0.44924933437448383, -0.4271612464441025, -0.4030409098269113, -0.3767933992914142, -0.34831812442105137, -0.31750867285919077, -0.284252630479377, -0.2484313794629724, -0.20991987517784635, -0.1685864025535069, -0.12429231244981513, -0.07689173831743978, -0.02623129330593906, 0.027850252244534503, 0.08552231305459763, 0.14696285121488292, 0.2123587589409417, 0.28190626226916704, 0.35581134627579863, 0.43429020248693284, 0.5175696992172673, 0.6058878756542813, 0.6994944605584622, 0.7986514164906119, 0.9036335106379375, 1.0147289132313475, 1.1322398246976795, 1.256483132762244, 1.3877911006763821, 1.5265120879184522, 1.6730113047197053, 1.8276716017909722, 1.9908942967516712, 2.1631000388761183, 2.3447297135561147, 2.5362453883996694, 2.738131302442926, 2.9508949004665217, 3.175067914173847, 3.4112074921717643, 3.659897380786849, 3.921749157841924, 4.1974035214620615, 4.487531636358179, 4.792836539787306, 5.114054609918265, 5.4519570990932715, 5.807351735042387, 6.181084393024497, 6.574040842458663, 6.987148571712766, 7.421378695661849, 7.877747950912724, 8.357320784820931, 8.861211545688175, 9.390586783278316, 9.946667671417833, 10.530732567694908, 11.144119730419108, 11.788230219569892, 12.464531018533085, 13.17455842691296, 13.919921795657903, 14.658193091400285, 15.37721411118297, 16.078209489011464, 16.762255394391026, 17.430304344785515, 18.08320483442293, 18.721717057578445, 19.34652564561154, 19.958250090120558, 20.55745335149499, 21.14464902875774, 21.720307377256745, 22.28486039518914, 22.838706151170534, 23.38221248837494, 23.9157202128486, 24.43954585215923, 24.9539840539007, 25.459309680557784, 25.955779646966622, 26.443634538444833, 26.92310004112802, 27.39438821078647, 27.85769860212172, 28.313219277057105, 28.76112770767904, 29.201591587124344, 29.63476955975265, 30.060811880318322, 30.479861010485852, 30.89205215989203, 31.297513777987845, 31.69636800207787, 32.08873106627158, 32.47471367547066, 32.85442134800833, 33.22795473011402, 33.59540988500179, 33.956878559057216, 34.31244842730859, 34.662203320130885, 35.00622343290592, 35.344585520184474, 35.677363075725, 36.004626499643756, 36.32644325378143, 36.64287800627874, 36.95399276625878, 37.25984700941967, 37.560497795268844, 37.85599987665584, 38.1464058022043, 38.43176601218203, 38.71212892830369, 38.987541037915705, 39.25804697297004, 39.52368958415978, 39.78451001056038, 40.04054774508384, 40.291840696035415, 40.53842524503129, 40.7803363015205, 41.01760735412828, 41.25027051902734, 41.47835658552111, 41.70189505901358, 41.920914201520944, 42.135441069874915, 42.34550155175216, 42.55112039965238, 42.752321262943745, 42.949126718079796, 43.14155829708981, 43.329636514430334, 43.51338089228683, 43.69280998439956, 43.86794139849158, 44.03879181736103, 44.20537701870423, 44.36771189372654, 44.525810464591956, 44.67968590076559, 44.82935053429145, 44.974815874049504, 45.11609261903075, 45.253190670666385, 45.38611914424537, 45.514886379450225, 45.6394999500375, 45.759966672692926, 45.87629261507818, 45.988483103098126, 46.096542727400944, 46.20047534913157, 46.30028410495268, 46.39597141134786, 46.48753896821688, 46.57498776177411, 46.65831806675741, 46.73752944795425, 46.81262076105269, 46.88359015281469, 46.95043506058048, 47.01315221109886, 47.071737618686164, 47.12618658270791, 47.1764936843815, 47.22265278289209, 47.26465701081572, 47.302498768839655, 47.33616971976877, 47.365660781807655, 47.390962121103165, 47.41206314352919, 47.42895248570108, 47.44161800519418, 47.450046769949296, 47.454225046840655, 47.45413828937625, 47.44977112450693, 47.441107338513525, 47.428129861933535, 47.410820753498484, 47.389161183036336, 47.36313141330217, 47.332710780687684, 47.29787767476572, 47.25860951661026, 47.21488273584368, 47.16667274634499, 47.11395392055355, 47.0566995623032, 46.99488187810632, 46.92847194680807, 46.85743968752668, 46.781753825780044, 46.701381857703424, 46.61629001224779, 46.52644321123896, 46.431805027175436, 46.33233763862872, 46.228001783094285, 46.11875670714355, 46.00456011369666, 45.88536810623974, 45.76113512977962, 45.631813908324006, 45.497355378650354, 45.35770862010992, 45.212820780190036, 45.06263699553558, 44.907100308100254, 44.74615157607467, 44.57972937920278, 44.4077699180632, 44.23020690685256, 44.046971459164894, 43.857991966214975, 43.66319396689558, 43.462500009002085, 43.25582950089028, 43.04309855276084, 42.8242198066756, 42.5991022543236, 42.3676510414488, 42.12976725772708, 41.88534771075985, 41.634284682687685, 41.37646566776933, 41.11177308907241, 40.840083992204875, 40.561269713768034, 40.2751955219248, 39.98172022615561, 39.68069575289498, 39.371966683313545, 39.05536974901517, 38.73073328084102, 38.39787660530644, 38.05660938241948, 37.706730877721654, 37.34802916032766, 36.980280217490495, 36.60324697473673, 36.21667820887385, 35.820307339076706, 35.4138510787831, 34.99700792812934, 34.56945648305897, 34.13085353286907, 33.68083191264026, 33.21899807047835, 32.744929301471686, 32.258170590319224, 31.758230992172248, 31.244579465645753, 30.71664005222293, 30.173786271122555, 29.61533456633837, 29.04053660057497, 28.448570135794604, 27.8385281672656, 27.209405880509923, 26.56008486843456, 25.88931386453376, 25.195684995347893, 24.477604197759206, 23.733253931742933, 22.960545563247912, 22.157057658163282, 21.31995468679103, 20.445877889669866, 19.530795582165627, 18.70049007088544, 17.82682717831062, 17.07361078159554, 16.281572398985237, 15.599141260825348, 14.883285663227062, 14.267048033992406, 13.622019574753852, 13.067167200528983, 12.487520740335409, 11.989068328804114, 11.469271141936522, 11.022158607011605, 10.55667350509042, 10.155914507088372, 9.739337762155268, 9.380171068606145, 9.00737748220727, 8.685385853261392, 8.35164301418729, 8.062826103112533, 7.763862900731537, 7.504668607675962, 7.236701893285537, 7.00402899201118, 6.763761157116699, 6.55494744147514, 6.339549247061247, 6.151702981397685, 5.958260023062983, 5.7895774839575695, 5.616131049762136, 5.465226083211342, 5.310298104168736, 5.176255701494175, 5.0388620189130595, 4.9214444026521305, 4.801300828160246, 4.701602975999621, 4.611347453648048, 4.5330158861927075, 4.465044953672153, 4.396277440027922, 4.317626302352134, 4.231130826819511, 4.139292064878028, 4.0437304935106, 3.9455842998842505, 3.845561275807571, 3.7435404723302175, 3.6393871736998387, 3.532950598495238, 3.4240610837712024, 3.326241656141487, 3.226235038357057, 3.1238755986896747, 3.018975505264659, 2.9261477088034034, 2.831107193578045, 2.7336754677833994, 2.645470671352247, 2.555067555149677, 2.4622968820532494, 2.3790473481034558, 2.293628305250091, 2.2058920034086977, 2.127666964262903, 2.0473221224196507, 1.9647271272498905, 1.8914147141784525, 1.8160452331869226, 1.7385015005130908, 1.6698652601869348, 1.5992415700299898, 1.5265223895492115, 1.462235915465398, 1.396033787100275, 1.327813274741427, 1.2674765615067416, 1.205294499741376, 1.141165823250849, 1.0843011487646554, 1.0256567496464961, 0.9651286053368416, 0.9111434175434263, 0.855435577662061, 0.7978932682569299, 0.7459708012267031, 0.6923661818622974, 0.6369540690045099, 0.5857873455818976, 0.5329290267459545, 0.47824998395578183, 0.42738515078685935, 0.37473899997908083, 0.33017520957761415, 0.28898671904059864, 0.25091572971394127, 0.21189318956354133, 0.17914045995387162, 0.14570599905115886, 0.11682255373170466, 0.08754312139921411, 0.06170710500461417, 0.03566987929377831, 0.012275960147975336, -0.011176858183559466, -0.03460271354812903, -0.0552050239201094, -0.07571265424659694, -0.09605690766490012, -0.11618539563949712, -0.13604362298031103, -0.15557602370893578, -0.17607507956851712, -0.19089254064381336, -0.20279109422443592, -0.21184780831480593, -0.2207900249754088, -0.2304249570689277, -0.24085995821766673, -0.2517285679948216, -0.26284426822755463, -0.2741059560059996, -0.28544606546553347, -0.29679566524208173, -0.3080504440883899, -0.3190263359988819, -0.3295769530992138, -0.3419057635983186, -0.35415361668110873, -0.3657246824858406, -0.3766354467592308, -0.38690561977232063, -0.3965573524132005, -0.4057843439045504, -0.41473541600454533, -0.4234408914601448, -0.43191875813637415, -0.440175522008327, -0.4482060662945888, -0.45599192044938086, -0.4634982553422165, -0.47067101941001066, -0.47743755419593853, -0.4837108160313745, -0.48939947318435156, -0.49441917951477143, -0.49869786683870015, -0.5021731199025593, -0.5047857344663101, -0.506473973647401, -0.5071705183729434, -0.5068020725838605, -0.5052918436452164, -0.5025643142786287, -0.4985508930253066, -0.49319423456525896, -0.48644919402975545, -0.4782800992756291, -0.46865596629642303, -0.4575457924588793, -0.4449151768417887, -0.43072442822263696, -0.4149277637371444, -0.39747313081185004, -0.37830231422101035, -0.35735113358303067, -0.33454963587805575, -0.30982224361657373, -0.28308784712753604, -0.2542598416964827, -0.22324611485366586, -0.18994899009990454, -0.1542651329255866, -0.1160854240861958, -0.07529480404892762, -0.031772091720361724, 0.014610220254128272, 0.06398619190372548, 0.11649668282369581, 0.17228961870724346, 0.23152027699461808, 0.29435159133770467, 0.36095447481365567, 0.43150816193653435, 0.5062005696919264, 0.5852286779174427, 0.6687989294272058, 0.7571276504064068, 0.8504414916259302, 0.9489778911064202, 1.0529855589516863, 1.162724985065128, 1.2784689705781804, 1.4005031837767943, 1.5291267414551581, 1.6646528166022851, 1.807409273329455, 1.9577393301025259, 2.1160022522168314, 2.2825740746005256, 2.457848356025421, 2.6422369657698623, 2.836170903842505, 3.040101155909401, 3.2544995840290833, 3.4798598542865373, 3.7166984024241234, 3.9655554386549725, 4.226995992562906, 4.501610999245202, 4.790018427581388, 5.092864451559683, 5.4108246654776275, 5.744605343661853, 6.094944745431885, 6.46261446552984, 6.848420830429414, 7.25320634047926, 7.677851157735817, 8.123274638851875, 8.590436912498232, 9.080340499887095, 9.594031977085226, 10.132603677262415, 10.697195430420523, 11.288996338108726, 11.909246580343355, 12.559239251490007, 13.240322222527915, 13.953900027350084, 14.701435772323576, 15.484453070895661, 16.304538009486578, 17.163341157729842, 18.025251998817563, 18.8635183859957, 19.67969660227591, 20.47515003961333, 21.25108207484231, 22.008561954386327, 22.748545440341907, 23.471891470681527, 24.179375744755667, 24.871701907327626, 25.549510835672816, 26.213388412772524, 26.86387208083885, 27.501456403663088, 28.126597817002867, 28.739718708873614, 29.341210943009134, 29.93143891664043, 30.51074222648779, 31.07943800328972, 31.63782296443293, 32.186175225650224, 32.72475590585093, 33.253810553546764, 33.773570418793625, 34.28425359082972, 34.78606601853022, 35.27920242825394, 35.76384715154236, 36.24017487337086, 36.708351310167814, 37.16853382556921, 37.62087199081941, 38.065508095836485, 38.50257761618866, 38.93220964057989, 39.35452726288079, 39.76964794225424, 40.177683834513346, 40.57874209748368, 40.97292517282852, 41.36033104652455, 41.74105348993551, 42.11518228321936, 42.48280342262712, 42.84399931308435, 43.19884894730905, 43.54742807258879, 43.88980934623346, 44.22606248061762, 44.55625437864283, 44.88044926036548, 45.198708781474124, 45.51109214423204, 45.817656201445274, 46.1184555539706, 46.41354264222864, 46.70296783214703, 46.98677949592526, 47.26502408797552, 47.53774621636888, 47.80498871008369, 48.06679268233469, 48.323197590231715, 48.57424129100535, 48.8199600950115, 49.060388815711136, 49.295560816811026, 49.525508056732164, 49.75026113055911, 49.96984930961791, 50.184300578814195, 50.39364167185192, 50.597898104450785, 50.7970942056651, 50.99125314740222, 51.18039697223305, 51.36454661957525, 51.5437219503301, 51.717941770045364, 51.88722385066588, 52.0515849509412, 52.21104083554332, 52.36560629294639, 52.51529515212194, 52.66012029809135, 52.80009368637837, 52.93522635640026, 53.065528443833976, 53.19100919198733, 53.311676962208274, 53.4275392433552, 53.53860266035589, 53.64487298187722, 53.74635512712249, 53.84305317177673, 53.934970353114366, 54.02210907428391, 54.10447090777754, 54.18205659809934, 54.25486606363739, 54.32289839774499, 54.38615186903638, 54.44462392089812, 54.498311170216766, 54.547209405320004, 54.591313583130784, 54.630617825525164, 54.66511541488903, 54.694798788868155, 54.71965953429228, 54.73968838027048, 54.75487519043564, 54.76520895432367, 54.77067777787082, 54.77126887300624, 54.76696854631325, 54.75776218674073, 54.74363425233042, 54.724568255932574, 54.70054674987344, 54.671551309543, 54.637562515858015, 54.598559936561436, 54.55452210631102, 54.50542650550725, 54.45124953780659, 54.39196650626149, 54.327551588029465, 54.257977807576715, 54.18321700831104, 54.10323982256345, 54.01801563983564, 53.927512573221975, 53.831697423914505, 53.73053564368013, 53.62399129520538, 53.512027010183346, 53.394603945015604, 53.271681733989176, 53.143218439777534, 53.00917050110476, 52.869492677395165, 52.72413799022129, 52.57305766134393, 52.4162010471247, 52.253515569069954, 52.084946640244986, 51.9104375872818, 51.729929567667426, 51.54336148198779, 51.35066988075849, 51.15178886545679, 50.946649983316966, 50.73518211542998, 50.517311357628195, 50.29296089360079, 50.062050859625494, 49.82449820024383, 49.58021651414557, 49.32911588944813, 49.07110272747851, 48.80607955407513, 48.533944817321505, 48.25459267050603, 47.967912738982065, 47.67378986944173, 47.37210385996707, 47.06272916902438, 46.745534601358756, 46.42038296851043, 46.087130721390615, 45.74562755205089, 45.39571596141646, 45.037230789344555, 44.66999870289472, 44.293837638154656, 43.90855619033263, 43.513952946094, 43.10981575127, 42.69592090606579, 42.27203227873581, 41.83790032731539, 41.39326101738357, 40.93783462191288, 40.471324386979425, 39.99341504438426, 39.50377114896604, 39.00203521444391, 38.48782561685796, 37.96073422885925, 37.420323740987484, 36.866124617311385, 36.297631621950714, 35.71429983946337, 35.11554009508538, 34.5007136593185, 33.86912609395784, 33.22002006144056, 32.55256687371933, 31.865856497064442, 31.158885650074005, 30.43054352631751, 29.67959452968997, 28.904657213855913, 28.104178343369487, 27.276400606872887, 26.419321955690833, 25.530643724038306, 24.60770346272692, 23.647386539301504, 22.6460075950758, 21.710467049161306, 20.730959478922113, 19.890824490122455, 19.011053172873076, 18.255744966123782, 17.466843861601742, 16.78879090036594, 16.082185249629365, 15.473966848048143, 14.84141995425594, 14.296008815362164, 13.729820189274541, 13.240737539102023, 12.733870764074823, 12.295271368129479, 11.841418116500153, 11.448123997572138, 11.041720713323498, 10.68922478457114, 10.32544182689025, 10.008896728943334, 9.682804425644576, 9.3990002149716, 9.107112778671633, 8.853567002485784, 8.593224147867115, 8.368187821474214, 8.137505357699116, 7.94025089495507, 7.738404624544417, 7.57009658453219, 7.416713640597105, 7.281360634237241, 7.171444272679136, 7.059885619915674, 6.937703123477048, 6.800789729473227, 6.654038142759446, 6.500557752870297, 6.342471942219988, 6.181337684719406, 6.017141797882657, 5.849685060315946, 5.678744903340156, 5.504071355475211, 5.346477894026733, 5.185533498248208, 5.020991183401031, 4.869771812316436, 4.71518897878228, 4.556982045758879, 4.41376801655014, 4.267235375346353, 4.117133603910755, 3.982761818997248, 3.8451348914500105, 3.704046547802531, 3.5788127930839453, 3.4504283040594683, 3.318724098214152, 3.202568913197713, 3.08339401598886, 2.9610603769614525, 2.8536925416941417, 2.7434515086329827, 2.630221544644813, 2.5312015896757103, 2.429462157327622, 2.335522934628988, 2.239015635628616, 2.1499692432455353, 2.0584545393788662, 1.9740502130056592, 1.8872749953623154, 1.8072551452432435, 1.7249588082928873, 1.6490611608916879, 1.5709779210189714, 1.4989363540281682, 1.4247962002104537, 1.3563400959757348, 1.2858682148823806, 1.220719940085617, 1.1536342116349776, 1.0845014649939166, 1.0239121196875425, 0.9614648432361088, 0.8970831286073192, 0.8402171537945954, 0.7815983965881983, 0.7211416760477573, 0.6669650935248362, 0.6111201219741131, 0.5535122936956346, 0.5005357708342836, 0.4459210421173843, 0.38959567805863643, 0.3401631030555529, 0.2942866167722232, 0.2522664367613559, 0.21366747635757974, 0.1742144278427332, 0.14149494636716345, 0.10818356900289969, 0.07973234280937438, 0.05097324060658305, 0.025861805669541698, 0.0006294735303070982, -0.021830340086668166, -0.044278644844227846, -0.06662457613109486, -0.08608393202828886, -0.10539352781395872, -0.12448320234279797, -0.14330176921881865, -0.16179622366061783, -0.17991272975165445, -0.19878173698710133, -0.21288026850836583, -0.22445939096741221, -0.23401648818423032, -0.2415128307934801, -0.2488793735105159, -0.25709038570523596, -0.2659668641309013, -0.27520970447909304, -0.2846472479801259, -0.29414747354154913, -0.3035469471828381, -0.31260021185794046, -0.3213047787896226, -0.3300736942951902, -0.3404947212433817, -0.3530757245703427, -0.3629884434439836, -0.3722170242764591, -0.38078251582765, -0.38870866157493444, -0.3961012078394349, -0.4031034163073823, -0.40974332612983794, -0.41603150045105164, -0.4219643130565987, -0.42752520207910466, -0.43268461455765805, -0.43739859573423645, -0.44160865871408245, -0.445241896499531, -0.44821284449563775, -0.45042807138218327, -0.4517925003708118, -0.45221449107839573, -0.45160708087836615, -0.44988585131426134, -0.44696640735613885, -0.4427642970427722, -0.4371978668966719, -0.43019506139678465, -0.4217000170259156, -0.4116758760458551, -0.4001014607642901, -0.3869635274425295, -0.37224864350138465, -0.3559375846550326, -0.3380027172261738, -0.3184074432772177, -0.2971066508162241, -0.27404747817374653, -0.24917005861891175, -0.22240812526426265, -0.19368945624979705, -0.16293617750072778, -0.13006494941958774, -0.09498706224705605, -0.057608460199773434, -0.017829709682284565, 0.02445407706633917, 0.0693533546284334, 0.11698428737355607, 0.16746891843114595, 0.22093536155072405, 0.277518013676838, 0.3373577866949539, 0.40060235726209914, 0.46740643407719007, 0.5379320421578757, 0.6123488239499889, 0.6908343572146303, 0.773574489847277, 0.8607636918039753, 0.952605424479858, 1.049312527878695, 1.1511076260670376, 1.2582235513469575, 1.3709037877433992, 1.4894029343537702, 1.613987189193251, 1.744934854128805, 1.8825368616753924, 2.0270973242357706, 2.1789341065525734, 2.338379422088713, 2.5057804540247353, 2.6815000017082924, 2.8659171531785637, 3.05942798454133, 3.262446286934026, 3.4754043217332704, 3.6987536046966674, 3.9329657196420253, 4.178533162203386, 4.435970214305178, 4.705813849557315, 4.988624670120846, 5.2849878750630275, 5.595514260379296, 5.920841250542554, 6.261633961245949, 6.61858629270145, 6.992422052834113, 7.383896108982752, 7.793795566679759, 8.222940973325418, 8.672187544291203, 9.142426408064907, 9.63458586662798, 10.149632666136275, 10.688573271930299, 11.252455141058332, 11.8423679836801, 12.459445003276002, 13.104864104065093, 13.779849051089931, 14.485670566531942, 15.223647342935411, 15.995146950152252, 16.801586609238292, 17.644433802566198, 18.52520668386348, 19.44547424720479, 20.406856207698738, 21.373716373798935, 22.313336202136632, 23.22752141469548, 24.117853777290737, 24.985729240653765, 25.832387983512234, 26.65893838366369, 27.46637636648207, 28.255601185904776, 29.027428417939866, 29.782600751600313, 30.521797021526172, 31.245639823715447, 31.954701979591754, 32.64951205649715, 33.330559109388545, 33.99829677530778, 34.653146826544884, 35.295502268361766, 35.92573005139527, 36.54417345635002, 37.15115419861003, 37.746974292369444, 38.33191770737858, 38.90625184611326, 39.470228864840784, 40.02408685848099, 40.56805092621564, 41.1023341323346, 41.62713837475753, 42.14265517194826, 42.64906637748661, 43.146544830332864, 43.63525494777859, 44.11535326718623, 44.58698894186373, 45.05030419576493, 45.505434741138046, 45.952510162777145, 46.39165427208809, 46.82298543383851, 47.24661686812139, 47.66265692980304, 48.07120936747339, 48.4723735637011, 48.866244758218336, 49.25291425548412, 49.6324696179367, 50.004994846112254, 50.370570546691525, 50.729274089439805, 51.08117975390399, 51.42635886666649, 51.76487992986228, 52.096808741618254, 52.42220850900549, 52.74113995404808, 53.05366141328134, 53.359828931313096, 53.65969634880047, 53.95331538522255, 54.240735716796515, 54.52200504985499, 54.79716918998253, 55.06627210717627, 55.32935599728439, 55.58646133994869, 55.83762695326052, 56.08289004533445, 56.32228626297014, 56.55584973757427, 56.78361312849619, 57.00560766391935, 57.22186317944254, 57.43240815447263, 57.63726974653827, 57.836473823638514, 58.03004499471607, 58.21800663835011, 58.40038092974769, 58.577188866119634, 58.74845029050574, 58.914183914116286, 59.07440733725988, 59.229137068901096, 59.37838854491642, 59.52217614508295, 59.66051320885437, 59.79341204996297, 59.92088396988382, 60.0429392701989, 60.159587263889186, 60.27083628558615, 60.376693700811835, 60.47716591422292, 60.57225837688584, 60.66197559260016, 60.74632112328593, 60.8252975934496, 60.898906693738304, 60.967149183592376, 61.03002489300593, 61.087532723399455, 61.13967064760497, 61.18643570896998, 61.22782401957207, 61.26383075755272, 61.29445016355125, 61.31967553624488, 61.33949922697472, 61.35391263345662, 61.36290619255545, 61.36646937211194, 61.36459066180326, 61.35725756301439, 61.34445657769984, 61.326173196214846, 61.30239188407793, 61.27309606764371, 61.23826811864728, 61.197889337586, 61.15193993589649, 61.100399016888446, 61.04324455538139, 60.9804533760005, 60.91200113007205, 60.83786227106529, 60.758010028509005, 60.67241638032224, 60.58105202348213, 60.48388634294825, 60.380887378762836, 60.27202179122899, 60.15725482407355, 60.036550265485715, 59.90987040691656, 59.77717599952003, 59.63842620809778, 59.49357856240883, 59.34258890568945, 59.18541134021392, 59.02199816972443, 58.85229983852903, 58.676264867062635, 58.49383978368569, 58.304969052473794, 58.10959499673414, 57.90765771796612, 57.699095009947165, 57.48384226761316, 57.26183239036471, 57.032995679394645, 56.79725972861213, 56.55454930867788, 56.30478624364269, 56.04788927961792, 55.783773944863135, 55.512352400611114, 55.23353328188842, 54.94722152751645, 54.65331819839494, 54.35172028308098, 54.04232048957217, 53.725007022093195, 53.399663341552625, 53.06616790819523, 52.72439390481247, 52.37420893869042, 52.01547472026779, 51.64804671624155, 51.271773774585995, 50.886497718655946, 50.49205290718675, 50.08826575661113, 49.674954221653465, 49.2519272296397, 48.81898406334671, 48.37591368651814, 47.92249400535408, 47.45849105833322, 46.98365812561463, 46.497734747965694, 46.00044564362807, 45.491499509727525, 44.970587692690806, 44.43738270957441, 43.8915365991678, 43.332679078062355, 42.760415472465944, 42.174324391178935, 41.57395509862441, 40.95882453881741, 40.328413951303446, 39.682165007857876, 39.01947538346859, 38.33969365593086, 37.642113404065796, 36.925966343540566, 36.190414299306575, 35.43453976177038, 34.657334705705296, 33.8576872606373, 33.034365700381834, 32.18599905507584, 31.311053422952998, 30.407802743447988, 29.47429234536437, 28.508292937069143, 27.50724175313682, 26.468166137917443, 25.508757368211185, 24.509557514499125, 23.64664835825828, 22.748127135788035, 21.971026021386447, 21.163792867874175, 20.464950763106906, 19.740526330071013, 19.11219778541837, 18.462300505668342, 17.897543656992006, 17.314672775974664, 16.808592535333375, 16.287342522285638, 15.836063869538112, 15.372184568298668, 14.973212763901861, 14.563922039083236, 14.216949609633817, 13.861742156734694, 13.571279774773862, 13.311953550681629, 13.094903859335433, 12.874402654009916, 12.65108184542177, 12.400342272363055, 12.13059316111417, 11.84793748061603, 11.556521940682726, 11.259370698807567, 10.956476806335765, 10.647475022031239, 10.331957294528323, 10.009465262027797, 9.71988783044366, 9.424128586758448, 9.121741053311666, 8.844875900228867, 8.561877380107154, 8.272279375275462, 8.011279577194118, 7.744266525180335, 7.470833699861161, 7.2273073081284975, 6.977952434887708, 6.722454071405159, 6.496960173774532, 6.265896128984568, 6.029022702001499, 5.821433013213893, 5.608576635914547, 5.3902744586332245, 5.2000150205421525, 5.004815987803056, 4.825236008739706, 4.641038661779144, 4.4718315358336405, 4.298225884927592, 4.138946182317604, 3.975483023457539, 3.8256655971901545, 3.6718743391529656, 3.531043987392522, 3.3864427912145203, 3.254121786679201, 3.118225444525986, 2.9939392908813716, 2.8662652639707673, 2.749546997858196, 2.62961994442221, 2.520013230333854, 2.4073682806914727, 2.304429485371098, 2.1986144589700087, 2.1019138376778788, 2.0024905406541986, 1.91161261399653, 1.8181573008483682, 1.7327004420647372, 1.6448034641741993, 1.564378643029795, 1.4816432312487735, 1.4058717564014338, 1.3279117775686815, 1.2564217149679986, 1.1828580730717286, 1.1152787376353026, 1.0457338005670678, 0.9816872132028208, 0.9157761207362799, 0.8548634091425056, 0.7921801567987066, 0.7276440198391098, 0.6706987364572642, 0.6120834092205675, 0.5517499608890315, 0.49739073701074926, 0.44145993211511136, 0.38393802102358493, 0.3326335504937915, 0.27976283040142247, 0.23568838045319151, 0.19517583266539396, 0.15803423465804947, 0.12025042264131056, 0.08899127470272557, 0.057310452269259925, 0.030398116418599543, 0.00331096078504182, -0.02020374406054123, -0.04373206391442993, -0.06457609452942352, -0.08532097454329282, -0.10587731940525748, -0.12376714192977835, -0.14143825083716793, -0.15882468355515397, -0.17587737109271098, -0.19254605756251436, -0.2089336644915923, -0.22497579216235164, -0.2372035312363327, -0.24748357405758026, -0.25621113373140836, -0.26337247495590177, -0.27037505083924, -0.27720817931703035, -0.28443132665900056, -0.2920161412028373, -0.29972803589138924, -0.3072597531453932, -0.31450000335964123, -0.3215025658775452, -0.3292711209621939, -0.33765382091450147, -0.34690419501940456, -0.3559624931407955, -0.36421409375209696, -0.37168395403052606, -0.3784012489458442, -0.38439822904466997, -0.38970918326889775, -0.39436953447074474, -0.39856789565785244, -0.40230150666274217, -0.40554469167447676, -0.40825882310339423, -0.41039164878575324, -0.4118774125897833, -0.412636571185052, -0.4125763507011315, -0.411592671675835, -0.409573587711276, -0.406403602722044, -0.4019677108469522, -0.3961547152245482, -0.38886118099721945, -0.3799982538666553, -0.36950065890310035, -0.3573326940910558, -0.3434894015223796, -0.32798508275441196, -0.3108376344112879, -0.2920564136502393, -0.27163674194626897, -0.24955936451642957, -0.22579214755449528, -0.20029223856826736, -0.17300794122350785, -0.1438801255224699, -0.1128432152563721, -0.07982584873032408, -0.04475130240318541, -0.0075377462709958635, 0.031901620120399744, 0.07365851732655808, 0.11782959843499469, 0.16451650867826229, 0.21382598160678898, 0.2658699645151383, 0.32076576809205093, 0.3786362367760256, 0.4396099374026863, 0.5038213644541369, 0.5714111607797756, 0.6425263529955677, 0.7173206011218568, 0.795954462150622, 0.8785956674741492, 0.965419414145748, 1.0566086701243707, 1.1523544936641101, 1.2528563670743107, 1.3583225451982772, 1.4689704188692736, 1.5850268937980052, 1.7067287851880355, 1.8343232285657702, 1.9680681072203023, 2.1082324966826262, 2.2550971267213558, 2.408954861251744, 2.5701111967113914, 2.7388847791706508, 2.9156079407944837, 3.100627255937682, 3.2943041172802805, 3.4970153324358937, 3.7091537412411415, 3.9311288540647897, 4.1633675112941, 4.40631456417508, 4.66043357705431, 4.926207550915526, 5.2041396680987795, 5.494754057862104, 5.798596582293763, 6.116235641960426, 6.4482630003142525, 6.795294625801207, 7.1579715501083445, 7.53696074084877, 7.932955986369006, 8.346678790124262, 8.778879271164469, 9.230337067119697, 9.70186223487204, 10.194296143566149, 10.70851235330558, 11.245417472105125, 11.805951981959796, 12.39109102347441, 13.001845126559736, 13.639260872639436, 14.304421471101548, 14.99844722969429, 15.7224958952987, 16.477762837083056, 17.265481038588046, 18.086920860662854, 18.943389528280413, 19.83623028751197, 20.766821167423522, 21.736573270250126, 22.74692849767645, 23.799356603481797, 24.84502818174546, 25.861120708836378, 26.84955266304983, 27.812009976613965, 28.749984735239558, 29.6648058450389, 30.557663632683465, 31.429629797038668, 32.281673752361755, 33.114676137241645, 33.929440073341986, 34.726700620030854, 35.5071327694599, 36.27135825099393, 37.01995135687521, 37.75344395755177, 38.47232984165319, 39.177068489640796, 39.86808836980028, 40.54578982918936, 41.21054763936524, 41.862713246474115, 42.502616767026055, 43.13056876397426, 43.74686183223611, 44.351772018312325, 44.94556009493395, 45.528472708609584, 46.1007434153651, 46.66259361783092, 47.21423341502258, 47.75586237464413, 48.287670236441706, 48.809837554047164, 49.32253628180867, 49.82593031230083, 50.320175969524406, 50.80542246220296, 51.281812301068314, 51.749481683593515, 52.20856084922714, 52.65917440785628, 53.101441643926286, 53.53547679838696, 53.96138933040457, 54.379284160583126, 54.789261897259394, 55.19141904728059, 55.58584821253155, 55.97263827336274, 56.35187455995384, 56.72363901255332, 57.08801033144834, 57.44506411743922, 57.79487300352314, 58.13750677843224, 58.473032502609286, 58.801514617160635, 59.1230150462729, 59.43759329354399, 59.74530653263963, 60.0462096926538, 60.34035553851662, 60.627794746774406, 60.90857597702835, 61.18274593930954, 61.450349457634424, 61.71142952997233, 61.96602738484036, 62.2141825347157, 62.45593282645619, 62.69131448888657, 62.92036217771694, 63.143109017927145, 63.359586643759165, 63.569825236436486, 63.77385355972727, 63.971698993454204, 64.16338756505783, 64.34894397929462, 64.52839164616223, 64.70175270712875, 64.86904805973516, 65.03029738064579, 65.18551914720167, 65.33473065753901, 65.47794804932556, 65.61518631716386, 65.7464593287037, 65.8717798395118, 65.99115950672993, 66.10460890155969, 66.21213752060484, 66.3137537961013, 66.4094651050561, 66.49927777732333, 66.58319710263297, 66.66122733659384, 66.73337170568263, 66.79963241123387, 66.86001063243985, 66.91450652836973, 66.96311923901199, 67.00584688534612, 67.04268656843954, 67.07363436757747, 67.09868533741333, 67.11783350413896, 67.13107186066779, 67.13839236081677, 67.13978591247911, 67.13524236976804, 67.1247505241221, 67.10829809434134, 67.08587171554231, 67.05745692700074, 67.0230381588556, 66.98259871764549, 66.93612077063769, 66.883585328923, 66.82497222922446, 66.76026011438378, 66.689426412475, 66.61244731449415, 66.52929775056754, 66.43995136462145, 66.34438048744326, 66.24255610806948, 66.13444784342013, 66.0200239060987, 65.89925107027304, 65.77209463553964, 65.638518388669, 65.49848456312593, 65.3519537962444, 65.19888508392889, 65.03923573274989, 64.87296130928135, 64.70001558652487, 64.52035048724882, 64.33391602405663, 64.14066023598643, 63.94052912142404, 63.73346656710389, 63.519414272934945, 63.29831167239195, 63.0700958481649, 62.83470144275862, 62.592060563684576, 62.34210268287549, 62.08475452990916, 61.81993997859631, 61.547579926446495, 61.267592166480306, 60.97989125081174, 60.68438834536308, 60.380991075025854, 60.06960335850104, 59.75012523198889, 59.42245266081428, 59.086477337975765, 58.74208646850868, 58.389162538437034, 58.02758306695981, 57.657220340369534, 57.277941126038485, 56.88960636462813, 56.49207083845999, 56.08518281375679, 55.668783654192424, 55.24270740288268, 54.8067803296004, 54.360820439600325, 53.904636939985146, 53.43802965901361, 52.96078841314794, 52.472692315943604, 51.97350902206535, 51.46299389877574, 50.940889116139914, 50.40692264590352, 49.86080715749178, 49.302238797787446, 48.730895839244795, 48.146437178385014, 47.54850066373528, 46.93670122868732, 46.31062880044426, 45.669845951010004, 45.013885249837436, 44.34224627000608, 43.654392190274784, 42.94974592358047, 42.22768568789826, 41.487539917010864, 40.72858138555909, 39.950020393260914, 39.15099681538907, 38.33057077768313, 37.48771165000916, 36.62128496880702, 35.73003678597246, 34.81257479008694, 33.867345338444196, 32.89260525058613, 32.07413475534832, 31.22798565428841, 30.519289885365513, 29.865764961128807, 29.276961938437488, 28.76906230637607, 28.312153145046455, 27.84821664121741, 27.319622798399735, 26.741742308985337, 26.13040359067366, 25.496072651488795, 24.84623581393253, 24.181312559592183, 23.500376123277587, 22.80238926779842, 22.086184398502912, 21.44693895260936, 20.79190631524495, 20.119974274859754, 19.50748308039449, 18.879555778944432, 18.235126436139176, 17.657554952432882, 17.065036954960142, 16.45678339962519, 15.91848659165802, 15.365987992118914, 14.798733429631529, 14.30147344684561, 13.790905869224733, 13.320079509353903, 12.836835836899153, 12.392359740676708, 11.936116330624968, 11.517400437569936, 11.08756297273075, 10.693833772472763, 10.289616427065162, 9.919968408202015, 9.540447610584447, 9.193884368811743, 8.83804163066212, 8.513508579363615, 8.180264542588166, 7.876674833720768, 7.564916222600766, 7.281171155588858, 6.989771976635022, 6.724776923364999, 6.452614991926968, 6.205291671645074, 5.951261339318401, 5.720557123165463, 5.483578918359945, 5.268473719889848, 5.04750148294736, 4.847012690387166, 4.641038679296484, 4.454224503080076, 4.262282859207979, 4.088244400272407, 3.909413292182608, 3.7472955800017886, 3.58069828428265, 3.4296904859883366, 3.2744956142223987, 3.133830575683146, 2.9892516146328645, 2.858204859094974, 2.72349915457999, 2.60138743297502, 2.47585471510358, 2.3620341723054397, 2.2450146893064002, 2.1388786806697544, 2.029750977635678, 1.9307275371212438, 1.8289058822576914, 1.736454803077313, 1.6413862229165825, 1.5549956572256773, 1.4661564869371624, 1.3853388916425409, 1.302230665412057, 1.2265177978895065, 1.1486621784187445, 1.077598652208293, 1.0045308982984613, 0.9376655225778411, 0.8689256939619643, 0.8057995487094126, 0.740920343009141, 0.6810512995315836, 0.6195421032386137, 0.5563520471027038, 0.5005365501858008, 0.443191569885848, 0.3843555651113957, 0.3322642623063376, 0.27873236608345936, 0.23207931592993228, 0.18420787176309406, 0.14528090952802905, 0.1055187721415643, 0.07304870642947348, 0.04015187546768095, 0.012690896737854583, -0.0149287779573885, -0.038488641690113, -0.06203625658828263, -0.08255385592955203, -0.10294478690058946, -0.12310552374996928, -0.14023176212683686, -0.15712109442008165, -0.1736975806202438, -0.1899104667696534, -0.2057072415852605, -0.22103456022390958, -0.23611737782788314, -0.24889311522385818, -0.2593048935528307, -0.26820622536586697, -0.27590005672788454, -0.2824543658905712, -0.2876179556804464, -0.29264967546127546, -0.29809101714052855, -0.303942325708821, -0.3095779364792252, -0.31527877732734094, -0.3214102655955967, -0.3277736815478749, -0.33433206285827133, -0.34114418920428285, -0.3484430766719286, -0.3552384726614776, -0.3612227676514552, -0.36642370871631086, -0.3708731151310087, -0.37460572650352, -0.37765815434914124, -0.3800703848359174, -0.38194059730341223, -0.38324017897608975, -0.3839285151073139, -0.3839518054245699, -0.38324300937612316, -0.38172114719739686, -0.3792905577994938, -0.375840402273983, -0.3712447410658218, -0.3653636133547116, -0.35804589356577504, -0.34913567909247467, -0.33848568480016733, -0.3259814309296599, -0.3115720991982736, -0.2952850647799671, -0.2771976833925753, -0.25739647826835793, -0.23594350077997556, -0.21286759821190832, -0.1881689440515624, -0.16182650114031882, -0.13380420563403625, -0.10405519659166984, -0.07252449928688562, -0.03915067600634128, -0.0038668268259521967, 0.03339881292246273, 0.07272252717042062, 0.11418493403909315, 0.15787090554858688, 0.20386955790993486, 0.2522742910531107, 0.3031828638316707, 0.35669749612130924, 0.412924992062223, 0.47197688059656184, 0.533969570744299, 0.5990245198331897, 0.6672684135222693, 0.7388333567979075, 0.8138570754264611, 0.892483127523642, 0.9748611250426116, 1.0611469650852736, 1.1515030710360417, 1.2460986435500754, 1.3451099214508815, 1.4487204527199642, 1.5571213756308468, 1.6705117102488785, 1.7890986604264174, 1.9130979264678893, 2.0427340286421183, 2.1782406416997913, 2.319860940540234, 2.467847957207357, 2.622464949284199, 2.783985779832339, 2.9526953089787766, 3.12888979709724, 3.3128773196768107, 3.5049781938155133, 3.7055254162136038, 3.9148651125390974, 4.133356997941885, 4.361374848383116, 4.599306982356018, 4.847556752578417, 5.106543046918661, 5.376700797857537, 5.658481499487716, 5.952353731028478, 6.258803685494114, 6.5783357019345425, 6.9114727995321, 7.258757211401044, 7.620750915636817, 7.998036160821303, 8.39121598268973, 8.800914708290396, 9.227778443108134, 9.67247553652375, 10.135697019637346, 10.618157009026673, 11.120593068979055, 11.64376652370216, 12.188462709574521, 12.75549115637382, 13.345685684513047, 13.959904403593429, 14.599029595420708, 15.26396746197582, 15.955647716261181, 16.675022990189944, 17.423068029985792, 18.200778645168207, 19.00917037171399, 19.84927680357232, 20.722147539915188, 21.62884568604755, 22.570444837017018, 23.548025458604407, 24.56267056843671, 25.61546060014711, 26.70746731394127, 27.82165531833506, 28.90405719119393, 29.956713240146108, 30.981419537073222, 31.979768038934502, 32.95317848810898, 33.9029240786311, 34.83015232818875, 35.735902216350624, 36.62111838140761, 37.48666297570556, 38.33332563907976, 39.16183194641806, 39.97285060794271, 40.76699964225384, 41.54485169743394, 42.3069386610072, 43.05375567267041, 43.78576463261929, 44.50339728160253, 45.20705791552467, 45.89712578674369, 46.57395723557412, 47.237887588495575, 47.889232853826535, 48.5282912409138, 49.155344524985836, 49.770659276584844, 50.37448797179319, 50.96706999720501, 51.54863256169246, 52.11939152540191, 52.6795521550583, 53.2293098134864, 53.768850590267796, 54.298351879603864, 54.8179829107164, 55.3279052354955, 55.828273177547786, 56.31923424633192, 56.8009295196516, 57.27349399741742, 57.73705692927609, 58.1917421184249, 58.63766820369172, 59.07494892174542, 59.503693351112474, 59.924006139506936, 60.335987715837994, 60.73973448812396, 61.135339028426216, 61.52289024580892, 61.9024735482463, 62.274170994303304, 62.63806143535018, 62.99422064900394, 63.34272146442151, 63.6836338800256, 64.01702517418563, 64.34296000934171, 64.66150053000833, 64.97270645506816, 65.27663516472914, 65.57334178248385, 65.86287925239293, 66.14529841198055, 66.42064806100979, 66.68897502638967, 66.95032422343922, 67.20473871372162, 67.45225975964323, 67.6929268760024, 67.92677787864947, 68.15384893042012, 68.37417458448058, 68.58778782522243, 68.79472010682912, 68.99500138962746, 69.1886601743349, 69.37572353429604, 69.5562171458051, 69.73016531659628, 69.89759101258227, 70.05851588291225, 70.21296028341749, 70.36094329850974, 70.50248276158571, 70.63759527399495, 70.76629622261439, 70.88859979608303, 71.00451899972936, 71.11406566923448, 71.21725048306422, 71.31408297369849, 71.40457153768948, 71.48872344457114, 71.56654484464289, 71.6380407756457, 71.70321516834959, 71.76207085106235, 71.81460955307485, 71.86083190704875, 71.90073745035643, 71.93432462537199, 71.9615907787206, 71.98253215948138, 71.99714391634122, 72.00542009369536, 72.00735362668438, 72.00293633515957, 71.99215891656115, 71.97501093769478, 71.95148082538802, 71.92155585600565, 71.88522214379948, 71.84246462806733, 71.79326705908879, 71.73761198280866, 71.67548072422753, 71.60685336946395, 71.53170874644167, 71.45002440415635, 71.36177659047227, 71.26694022838927, 71.1654888907246, 71.05739477314164, 70.94262866545819, 70.82115992115678, 70.69295642501622, 70.55798455877878, 70.41620916475642, 70.26759350727487, 70.11209923184835, 69.94968632196573, 69.780313053361, 69.60393594563357, 69.42050971107014, 69.22998720051086, 69.03231934608752, 68.82745510065338, 68.61534137370076, 68.39592296355879, 68.16914248563334, 67.93494029644305, 67.6932544131796, 67.44402042849791, 67.1871714202201, 66.92263785560866, 66.65034748983211, 66.3702252582219, 66.08219316187221, 65.78617014610752, 65.4820719712877, 65.16981107538489, 64.8492964276999, 64.52043337304066, 64.18312346560971, 63.83726429178348, 63.48274928087969, 63.11946750292278, 62.747303452319336, 62.366136816237905, 61.975842226368684, 61.57628899259312, 61.16734081693802, 60.74885548601157, 60.32068453991514, 59.882672915396604, 59.43465856075888, 58.976472019736825, 58.50793598122656, 58.028864791371625, 57.53906392406813, 57.03832940545741, 56.526447187398226, 56.00319246424231, 55.46832892647615, 54.92160794389541, 54.36276766994501, 53.791532057646, 53.207609776114424, 52.61069301500295, 52.000456162239715, 51.37655433809537, 50.738621765845004, 50.08626995597741, 49.41908567692626, 48.73662868051398, 48.038429144491026, 47.323984787487994, 46.592757603045506, 45.844170148734484, 45.07760131316863, 44.29238146725261, 43.48778688532136, 42.663033295665755, 41.81726838657611, 40.949563051130795, 40.058901098291635, 39.1441670849319, 38.20413182685749, 37.23743501759034, 36.242564208430444, 35.21782916257803, 34.16133026058033, 33.07091915920884, 31.944149221029633, 30.778212225444175, 29.698331078740587, 28.579419173868192, 27.56234981430052, 26.50928036113009, 25.55362685816499, 24.56505738912683, 23.66918911513926, 22.743210341143218, 21.905057993842675, 21.039347052615376, 20.256538804845682, 19.448493587326393, 18.71846180902832, 17.96530592668768, 17.285370484653633, 16.584234743141703, 15.951667486051157, 15.299652579088844, 14.711726744699483, 14.105950963235923, 13.559978530951309, 12.997613539828563, 12.490972971127288, 11.969270106014056, 11.49942644348585, 11.015735500419659, 10.580254414402127, 10.132036514881035, 9.728593577619215, 9.313429380959345, 8.939815598744516, 8.555409882593452, 8.209534314185543, 7.853717740952529, 7.533607867508913, 7.2043365923221065, 6.908136972042459, 6.603490615822607, 6.329460249531572, 6.047638655021788, 5.794147402395927, 5.533466504825733, 5.298990820587744, 5.057877895399474, 4.840996097853145, 4.617984591484685, 4.417371829022391, 4.211095932906798, 4.025518976125112, 3.8347080664765287, 3.663020021949314, 3.486493057176791, 3.3276280726269074, 3.1642880141142515, 3.0172560221252223, 2.866084322239146, 2.729965849640933, 2.590017031118525, 2.4639580823420086, 2.3343544146467217, 2.217561418308193, 2.0974876780211305, 1.989222464795809, 1.877920746056054, 1.7774955002610215, 1.6742600160086865, 1.5810321099826075, 1.4852038913578702, 1.398570467011808, 1.3095318238154603, 1.2289239293698717, 1.1460924772664245, 1.070968514859342, 0.9937905207471702, 0.923628803784828, 0.8515716386009402, 0.7858624060985246, 0.7184064302662889, 0.6566465209592819, 0.5932795640115245, 0.5349863054679643, 0.4752172924707699, 0.41399845506150135, 0.3606226656633623, 0.3058732622706886, 0.2565463049686646, 0.20607002633360297, 0.16311318399819089, 0.11925316718884704, 0.08326488435246672, 0.0467427716027549, 0.016736332406539958, -0.013494352372573896, -0.038686030168220746, -0.06389502120691501, -0.08530846186612523, -0.1066041625454933, -0.12509180581697985, -0.14337089227432948, -0.1613429920938469, -0.17662580454432986, -0.1916078338020727, -0.206219794568996, -0.22041291260727444, -0.23413723422735921, -0.24734253459894953, -0.2611801178132771, -0.27127257208192745, -0.27975004711770207, -0.2870717270577971, -0.29408526263797763, -0.29948828261920507, -0.30390149310025855, -0.3081582862289123, -0.3122559746463493, -0.3167462900446356, -0.32147045271565705, -0.32631761821743094, -0.33122689198541594, -0.3361707562203732, -0.34115854343981816, -0.34627662845080254, -0.3511267233814346, -0.3551128448196968, -0.3582667853512127, -0.36062503762067116, -0.36222744152143693, -0.363115940821972, -0.36333349240943824, -0.36291310605389937, -0.3618280128645016, -0.360025718904009, -0.3574410638380577, -0.353995600636878, -0.3495963826271123, -0.3441343304418448, -0.33748216856135277, -0.32949196668939346, -0.31999263255065746, -0.30878889501860685, -0.2956668921208565, -0.28041970707395647, -0.2629142797817298, -0.2431884811398988, -0.221460678728286, -0.19797612491371627, -0.172889377199059, -0.14626171805406724, -0.11809689860738372, -0.08836821256908087, -0.057032714175932496, -0.024038055273322718, 0.010674257913234996, 0.04716729410241865, 0.08550793436083441, 0.1257665105688568, 0.1680166514159064, 0.21233524071082122, 0.25880243948172904, 0.30750174624503446, 0.35852008144709, 0.4119478882383529, 0.46787924499039746, 0.5264119868906314, 0.5876478349394014, 0.6516925313242653, 0.7186559805508735, 0.7886523958870141, 0.8618004508391144, 0.938223435512229, 1.018049417689712, 1.10141140857405, 1.1884475330734627, 1.2793012046506058, 1.3741213045852922, 1.473062365648643, 1.5762847601092305, 1.683954891963457, 1.7962453932897926, 1.9133353246503826, 2.0354103792795954, 2.1626630910037763, 2.295293045579618, 2.433507095238222, 2.577519576093453, 2.727552528122811, 2.883835917246118, 3.0466078591069703, 3.2161148439420875, 3.392611961967009, 3.5763631286163395, 3.7676413087634786, 3.9667287391133224, 4.173917147751072, 4.389507969644034, 4.613812556958023, 4.847152382697393, 5.08985923608284, 5.3422754079556976, 5.604753864196411, 5.877658405011899, 6.161363807622541, 6.45625594967095, 6.762731910367486, 7.081200045967481, 7.412080036038328, 7.755802896245523, 8.112810953303219, 8.483557776978053, 8.868508063579545, 9.26813746492591, 9.68293235591833, 10.1133895331838, 10.560015836648521, 11.023327684692925, 11.503850512928112, 12.002118105418988, 12.518671805780848, 13.054059594866873, 13.608835019539997, 14.183555956349368, 14.778783191271934, 15.395078795431225, 16.0330042743059, 16.6931184654024, 17.37597515713517, 18.08212039833771, 18.812089464879726, 19.566403446017134, 20.34556540935041, 21.150056098305825, 21.980329111757168, 22.836805508856326, 23.719867776327675, 24.62985308810836, 25.567045778571647, 26.53166894128151, 27.52387505367141, 28.543735515430757, 29.591228971759868, 30.66622827363544, 31.7684859043572, 32.8646544387886, 33.93164531762904, 34.97108911046205, 35.984443363258286, 36.9730178887129, 37.93799542181565, 38.88044864693919, 39.80135435290801, 40.70160529188609, 41.58202018550245, 42.443352223277195, 43.28629632450752, 44.111495378617235, 44.919545635883566, 45.711001387068215, 46.48637904439101, 47.24616071572958, 47.99079734760814, 48.7207114994894, 49.43629980137935, 50.13793513824255, 50.825968597790954, 51.50073121252414, 52.16253552221526, 52.81167697915546, 53.44843521524592, 54.073075187323845, 54.68584821484589, 55.28699292214055, 55.87673609582646, 56.455293466618286, 57.02287042357094, 57.57966266781132, 58.125856811948346, 58.66163093060578, 59.187155066890185, 59.70259169904599, 60.20809617107083, 60.70381709064365, 61.18989669735399, 61.66647120389753, 62.13367111262369, 62.59162150957141, 63.04044233791361, 63.48024865253459, 63.91115085729699, 64.33325492640299, 64.74666261111685, 65.15147163300027, 65.5477758646998, 65.93566549923821, 66.31522720866349, 66.6865442928466, 67.0496968191379, 67.40476175353727, 67.75181308397508, 68.09092193625068, 68.42215668312537, 68.74558304703503, 69.06126419683868, 69.36926083899552, 69.6696313035221, 69.96243162506246, 70.24771561937273, 70.5255349554974, 70.7959392238996, 71.05897600078043, 71.31469090880813, 71.56312767446231, 71.80432818218122, 72.0383325254866, 72.26517905524899, 72.4849044252441, 72.69754363513641, 72.90313007102442, 73.10169554366166, 73.2932703244703, 73.47788317944558, 73.65556140105019, 73.82633083818578, 73.99021592432324, 74.14723970387075, 74.29742385684669, 74.44078872192469, 74.57735331791022, 74.70713536370603, 74.83015129681333, 74.94641629042151, 75.05594426912484, 75.15874792330706, 75.25483872222891, 75.34422692585252, 75.42692159542992, 75.50293060288129, 75.5722606389885, 75.6349172204203, 75.69090469560814, 75.74022624948796, 75.78288390711757, 75.81887853617971, 75.84820984837768, 75.87087639972611, 75.88687558973915, 75.89620365951455, 75.8988556887106, 75.8948255914086, 75.88410611085224, 75.8666888130526, 75.84256407924505, 75.81172109717917, 75.77414785122564, 75.7298311112729, 75.67875642039219, 75.62090808123948, 75.55626914116411, 75.4848213759891, 75.40654527242161, 75.32142000905537, 75.22942343591528, 75.13053205249638, 75.02472098424106, 74.91196395739564, 74.79223327218332, 74.66549977422147, 74.53173282411298, 74.39090026512712, 74.2429683888843, 74.08790189895295, 73.9256638722556, 73.75621571817611, 73.5795171352524, 73.39552606532632, 73.20419864501999, 73.00548915438681, 72.79934996258436, 72.5857314703973, 72.36458204942956, 72.1358479777675, 71.89947337190048, 71.65540011467117, 71.40356777900591, 71.1439135471564, 70.87637212516358, 70.60087565222655, 70.31735360463807, 70.02573269391351, 69.72593675871276, 69.41788665011909, 69.10150010979575, 68.77669164050663, 68.44337236843229, 68.10144989666742, 67.75082814922429, 67.3914072048055, 67.023083119537, 66.64574773777699, 66.25928849002453, 65.86358817685955, 65.4585247377327, 65.04397100330387, 64.61979442989265, 64.18585681444726, 63.74201398827022, 63.288115487540736, 62.82400419845494, 62.34951597455883, 61.86447922355988, 61.36871446058935, 60.86203382451402, 60.344240553482244, 59.81512841540555, 59.274481088529114, 58.72207148660645, 58.15766102246282, 57.58099880287934, 56.99182074674857, 56.389848617293275, 55.774788957802855, 55.146331918758364, 54.5041499623596, 53.84789642826774, 53.17720394177105, 52.491682642469435, 51.790918207854084, 51.07446964168235, 50.34186679164344, 49.59260755424373, 48.82615471682827, 48.041932376813676, 47.23932186605665, 46.41765709317924, 45.57621919777199, 44.714230386584084, 43.83084679156357, 42.92515015090076, 41.9961380642273, 41.042712507957866, 40.06366621095206, 39.05766637646287, 38.023235082521666, 36.95872548309455, 35.86229264213584, 34.73185742509436, 33.565061290371965, 32.359208976463755, 31.111194823046, 29.817406553513337, 28.63842179483914, 27.412992913802757, 26.32126877387692, 25.187533552949212, 24.17732198508851, 23.129615254036178, 22.195919757489055, 21.228657809612443, 20.366519275706366, 19.474251552402016, 18.678830209416358, 17.85630130802835, 17.12293077474967, 16.365120120849458, 15.689342130054998, 14.991487571530595, 14.369072686637331, 13.726682488414301, 13.153640678385539, 12.562497182696127, 12.03508108569198, 11.491238435624457, 11.00594139835003, 10.505719095845496, 10.0592695353124, 9.599243145578846, 9.188596382835811, 8.76558635904762, 8.387914780417258, 7.998974130501241, 7.651656312186481, 7.294057641417574, 6.9746669084449975, 6.645889229310443, 6.3521819952212075, 6.049897589078731, 5.779801728260256, 5.501863261799845, 5.253466694489443, 4.997894732277017, 4.769434347393351, 4.534405354560406, 4.324256353287992, 4.108091246289304, 3.9147569570513996, 3.7159102329567397, 3.53801242310553, 3.355061876035006, 3.1913315655985133, 3.022968582362797, 2.872237349047579, 2.717257762017227, 2.5784495125648297, 2.4357449757749756, 2.3078681461024133, 2.176417989675006, 2.0585581233084027, 1.937421629790738, 1.8287342704881613, 1.7170433043264675, 1.6167471245162652, 1.5136990329472926, 1.4210691085104854, 1.3259198023042513, 1.2402809515108912, 1.1523380823953426, 1.0730582648727505, 0.9916744958033588, 0.9181585904132997, 0.8427252784583431, 0.7744107149624324, 0.7043534835942256, 0.640713229161443, 0.5754949434877754, 0.5160672377787331, 0.4552178793535451, 0.3997252696373906, 0.34296195983210287, 0.2916454673851995, 0.23921267049990286, 0.19313544202621422, 0.14614047274947184, 0.10630289175727742, 0.06584351067768653, 0.03221103901432191, -0.0017296077591018126, -0.029785239837927153, -0.05791174314714872, -0.08126733062948577, -0.10453245497841637, -0.12415067093442766, -0.14357044691962623, -0.16030639535234734, -0.17677063722397957, -0.19286593699517718, -0.20646599243840824, -0.21971711241719413, -0.23255267930301254, -0.24492471189942583, -0.25678426931161485, -0.2680823480431046, -0.2800507108549959, -0.2882446144352281, -0.2950691963264441, -0.30078474992243914, -0.30525422924994094, -0.3095202685258646, -0.31386719229192844, -0.31746796775960623, -0.32053913486127916, -0.3234519915571791, -0.32665631421531843, -0.33000039906244677, -0.3333665188060086, -0.3366795014534072, -0.3398863090054995, -0.3429523755625338, -0.34585551049352453, -0.34760449890558565, -0.34861317683859677, -0.34891292467611407, -0.34853802807935647, -0.34752470996214097, -0.34587453370250626, -0.3435493660151355, -0.3405050907350268, -0.33668606909085996, -0.33202507150448873, -0.3264424621542418, -0.3198447923239852, -0.31212272102709004, -0.3031480805445417, -0.29276980052004165, -0.28080840761446246, -0.26704932415790333, -0.25123764671510684, -0.23308622670806772, -0.21233523145705835, -0.1889289731687671, -0.16320935527999134, -0.1357041648554442, -0.10672781339863605, -0.07637157447859712, -0.04462341279350661, -0.01143513973751566, 0.023253221665777264, 0.05950560141167608, 0.09738757553836437, 0.13696585751262558, 0.1783083567788107, 0.2214843957028131, 0.2665649511626664, 0.31362288046727954, 0.36273312303015437, 0.4139728792307264, 0.4674217705323351, 0.5231619849467641, 0.5812784112649066, 0.6418587647296112, 0.7049937061442729, 0.77077695592299, 0.8393054040767848, 0.9106792169453045, 0.985001941104589, 1.0623806048579212, 1.1429258173559806, 1.2267518655077077, 1.3139768085244055, 1.4047225700068504, 1.4991150273109066, 1.597284097899759, 1.6993638222437435, 1.8054924428750603, 1.9158124790064597, 2.030470796064623, 2.1496186694847914, 2.2734118419221017, 2.402010572987587, 2.5355796804902213, 2.6742885720677045, 2.8183112659853564, 2.967826399671131, 3.1230172244873575, 3.284071585058426, 3.451181881235243, 3.6245450107308486, 3.8043622900038856, 3.9908393510491473, 4.184186011177657, 4.384616112871883, 4.592347330185179, 4.807600938171673, 5.030601541016931, 5.261576754582639, 5.50075683810457, 5.74837426975423, 6.0046632596747935, 6.2698591939039074, 6.544198001482473, 6.827915436368566, 7.121246264827975, 7.4244233477599675, 7.737676606257425, 8.061231857184458, 8.395309503997982, 8.740123065891062, 9.095877526317492, 9.462767479024114, 9.840975046641297, 10.230667542986225, 10.631994845843908, 11.04508644075018, 11.470048090078924, 11.906958072220792, 12.355862925511559, 12.816772616616097, 13.289655036005549, 13.77442969852999, 14.270960496343507, 14.779047308989627, 15.29841621721952, 15.828707986908933, 16.369464374178015, 16.92011163741242, 17.47994039456781, 18.04808058776553, 18.623469727587366, 19.204811626643547, 19.79052120632071, 20.37864807069992, 20.966766103099626, 21.551805359933805, 22.129778271679733, 22.698257377260557, 23.25766882945075, 23.715519764046686, 24.16759844532093, 24.61409958357869, 25.129105734631757, 25.703575759574402, 26.330613582002687, 27.006716574561178, 27.73008125679173, 28.499913027033486, 29.316071579299997, 30.1788702009472, 31.088952613588074, 32.04721189482363, 33.05473331625612, 34.11275100180465, 35.22261234141859, 36.31950166674319, 37.38790558504516, 38.42931343739621, 39.445065547167154, 40.43637378088307, 41.4043385444105, 42.34996294808665, 43.27416470143552, 44.17778617074246, 45.0616029377717, 45.92633112626166, 46.77263370821126, 47.60112595991311, 48.41238020501902, 49.20692995631295, 49.985273547640965, 50.74787733135584, 51.495178503727075, 52.227587610369184, 52.9454907752843, 53.64925169022849, 54.33921339543983, 55.015699878097585, 55.67901751100497, 56.32945635075514, 56.96729131193822, 57.59278323167251, 58.20617983682368, 58.80771662465007, 59.397617666228776, 59.976096340836676, 60.543356008447915, 61.09959062664318, 61.64498531747465, 62.179716889183325, 62.70395431710476, 63.217859187611815, 63.72158610851522, 64.21528308897194, 64.69909189162716, 65.17314835942673, 65.63758271928644, 66.09251986458254, 66.5380796182315, 66.97437697795081, 67.40152234514161, 67.81962173869282, 68.22877699488849, 68.62908595448471, 69.0206426379305, 69.40353740961514, 69.77785713194969, 70.14368531001531, 70.50110222745136, 70.8501850741967, 71.19100806664554, 71.52364256073567, 71.84815715843767, 72.16461780808473, 72.47308789893759, 72.77362835035576, 73.06629769591102, 73.35115216275832, 73.62824574654977, 73.89763028215874, 74.15935551046053, 74.41346914139655, 74.66001691353264, 74.89904265030593, 75.13058831314227, 75.35469405161037, 75.57139825076752, 75.7807375758423, 75.98274701438683, 76.17745991602179, 76.36490802989164, 76.54512153993359, 76.71812909806131, 76.88395785535468, 77.04263349134116, 77.19418024144623, 77.33862092268713, 77.47597695767699, 77.60626839700245, 77.72951394003029, 77.84573095419789, 77.95493549283593, 78.05714231156703, 78.1523648833209, 78.24061541200477, 78.3219048448595, 78.396242883534, 78.46363799390407, 78.52409741465806, 78.57762716467221, 78.62423204919105, 78.66391566482926, 78.69668040340713, 78.72252745462727, 78.74145680760199, 78.75346725123211, 78.75855637344145, 78.75672055926347, 78.74795498777762, 78.73225362788827, 78.70960923293593, 78.68001333413082, 78.64345623279235, 78.59992699137707, 78.54941342327498, 78.49190208135083, 78.42737824520287, 78.35582590711056, 78.27722775663584, 78.19156516384442, 78.09881816110341, 77.99896542341351, 77.89198424722647, 77.77785052769555, 77.65653873430206, 77.52802188479635, 77.39227151738567, 77.24925766109847, 77.0989488042445, 76.94131186088957, 76.77631213525237, 76.60391328392616, 76.42407727582032, 76.23676434970848, 76.04193296926078, 75.83953977542997, 75.62953953604807, 75.41188509248232, 75.18652730318587, 74.95341498396652, 74.71249484478047, 74.46371142284784, 74.20700701186469, 73.94232158707295, 73.66959272592656, 73.38875552407464, 73.09974250635544, 72.8024835324719, 72.49690569699146, 72.18293322328182, 71.86048735095962, 71.52948621639632, 71.18984472577887, 70.84147442018411, 70.48428333207167, 70.11817583254911, 69.74305246869982, 69.3588097901998, 68.96534016437161, 68.56253157874495, 68.15026743009818, 67.72842629885317, 67.29688170757998, 66.85550186224113, 66.4041493746574, 65.9426809645174, 65.47094713906841, 64.98879184841987, 64.4960521141571, 63.99255762869923, 63.47813032253258, 62.95258389611021, 62.41572331281825, 61.86734424896105, 61.30723249620697, 60.73516331134787, 60.15090070754551, 59.55419668045503, 58.94479036170506, 58.322407091155874, 57.68675739812381, 57.03753588031223, 56.37441996749377, 55.69706855498468, 55.00512048958145, 54.298192887814324, 53.575879263008424, 52.837747433614496, 52.08333718041589, 51.312157614345544, 50.52368420949896, 49.71735544719022, 48.89256900614389, 48.04867742060871, 47.184983111600204, 46.30073267568558, 45.395110289451935, 44.46723005434437, 43.516127063604834, 42.540746917391616, 41.53993333936654, 40.51241345183362, 39.4567801379399, 38.37147074552519, 37.25474114881239, 36.1046338526359, 34.91893835562442, 33.695141315651924, 32.430363074564134, 31.12127562264759, 29.763994819147687, 28.51099290855849, 27.20747994275732, 26.056479919159667, 24.85936495651206, 23.801497892174975, 22.70289989922368, 21.731487209621992, 20.72395928193146, 19.832571484167325, 18.90905514218645, 18.091573861411398, 17.24542808303225, 16.4960784993319, 15.721090067224617, 15.034455404411009, 14.324836749843083, 13.69586051787395, 13.04623923327176, 12.470219201011224, 11.875622140165559, 11.348198831259829, 10.804032851303695, 10.32117453713896, 9.823205332106822, 9.381190921816765, 8.92552096821296, 8.520921788414624, 8.103968118155542, 7.733629283225096, 7.352101578455833, 7.01312344149056, 6.664002786482153, 6.35372280813378, 6.034241317659973, 5.750216578413032, 5.457838037527666, 5.197828537401543, 4.930230126675879, 4.692182956581329, 4.447238091811415, 4.229272517099818, 4.0050348010642915, 3.805428265793126, 3.600116525842679, 3.41729156278297, 3.2292759320658795, 3.061787946271006, 2.889576934275247, 2.7361028151519236, 2.57833130473961, 2.4376588118406657, 2.293076913857711, 2.1640947743447945, 2.0315574664040024, 1.9132461174903361, 1.7917035915983859, 1.6831265017354944, 1.5716151480809881, 1.471910664120522, 1.3695446344067292, 1.2779183515051655, 1.1838816970959012, 1.0995994981427197, 1.013139031847379, 0.9355213790315242, 0.8559408494208554, 0.784360173956269, 0.7110176121120753, 0.6449043343843583, 0.5772181392235289, 0.5160912981402399, 0.4535711539634254, 0.3971338658978603, 0.33947724383817623, 0.28782527824619325, 0.2351305430839038, 0.18886964283550822, 0.14177066809488903, 0.10141651674274313, 0.06049583056686901, 0.025900573195634446, -0.008967913045655316, -0.03822599175098573, -0.06752192864997676, -0.09186211550789122, -0.11608251367642944, -0.13617804716455845, -0.1560498966108664, -0.1727730101508269, -0.18920191176308046, -0.20334956234950108, -0.21715192598750077, -0.23052362023725056, -0.24189256765341263, -0.25285083840514117, -0.2633420860494644, -0.2733210797037344, -0.2827423113094053, -0.29219089010996957, -0.2993469965596689, -0.30484109751434413, -0.3090139577219268, -0.31293794212972836, -0.3169358593822928, -0.3207183050246603, -0.32416453307385895, -0.3267299466076363, -0.3286743115041035, -0.3304602046043482, -0.3323219939120221, -0.33421016039140794, -0.33599238779214585, -0.33756484521842633, -0.3388165655968401, -0.3395754081613208, -0.3395281650353132, -0.3386604282804417, -0.3370085234880909, -0.3346127863882525, -0.33151628197979083, -0.327763624638249, -0.32339994203553146, -0.3182678491568355, -0.31230592782137134, -0.305443855006093, -0.2975999972971535, -0.2886797957254875, -0.2785733947265183, -0.2671522725008821, -0.2542644484880096, -0.23972769158545779, -0.22332021029783103, -0.20476954103142012, -0.18374678015954182, -0.15989946075464573, -0.13302761448467243, -0.10346527383749135, -0.07203475331822096, -0.03929856020448842, -0.005392521135750272, 0.029718836989424076, 0.06611185804025994, 0.10386687434279504, 0.14306061325109293, 0.18376580742824275, 0.22605226483506852, 0.2699880081511347, 0.31564020215350497, 0.3630758596414531, 0.4123623712729044, 0.46356790549817845, 0.5167617144569708, 0.5720143716421633, 0.6293979595113921, 0.6889862194718177, 0.7508546730456067, 0.8150807201935852, 0.8817437190108832, 0.9509250496545866, 1.022708164457554, 1.09717862546561, 1.1744241301728573, 1.254534525737528, 1.3376018117267603, 1.42372013112134, 1.512985749098633, 1.6054970188679873, 1.7013543336438084, 1.8006600636698864, 1.9035184769670705, 2.0100356423140435, 2.120319312684392, 2.2344787872452434, 2.352624749655956, 2.474869080161978, 2.6013246387807225, 2.7321050163179224, 2.8673242498276683, 3.0070964984772606, 3.1515356754742263, 3.300755031000038, 3.4548666805559027, 3.6139810724376655, 3.7782063869872746, 3.947647859613936, 4.122407018038621, 4.302580823150672, 4.488260701001611, 4.679531451629641, 4.876470017874574, 5.079144094584714, 5.287610554838284, 5.501913665510508, 5.722083058609578, 5.948131417991811, 6.180051831376232, 6.417814745965487, 6.661364449728878, 6.910614979154988, 7.165445325166963, 7.425693768260184, 7.691151117019913, 7.961552541271949, 8.236567568977353, 8.51578763022074, 8.798710240946253, 9.084718447467772, 9.373053357013086, 9.662776169786467, 9.952713484872167, 10.241374330706934, 10.526815664261228, 10.808379050335668, 11.086239921863914, 11.313449438448938, 11.538320450736702, 11.760932845840145, 12.015444083012977, 12.299830493645295, 12.610674727520536, 12.946324263348032, 13.305987082982917, 13.689390622436985, 14.09660779594295, 14.527960472214536, 14.983962239450925, 15.465282854285512, 15.972725448743043, 16.507211633255615, 17.069771682161797, 17.66153808708441, 18.28374138268031, 18.937707509468375, 19.624979386111484, 20.347631130303167, 21.107277258302055, 21.905652317909265, 22.744584055208055, 23.625992884511604, 24.551889482262965, 25.524371456258383, 26.545618738523224, 27.617887371329985, 28.74350130742154, 29.924841784590495, 31.1643337500099, 32.44666784522949, 33.689445309366995, 34.89538097924275, 36.06684855174843, 37.20593914034253, 38.31450734260494, 39.39420795125107, 40.44652554854144, 41.472798613611076, 42.47423934670295, 43.451950112461105, 44.40693718698814, 45.34012233444854, 46.252352621329266, 47.14440878828198, 48.01701243265226, 48.870832203638656, 49.7064891724878, 50.52456150929359, 51.325588573728, 52.110074507815966, 52.87849140353783, 53.63128210571514, 54.36886270067429, 55.09162473306894, 55.79993718660696, 56.49414825896706, 57.174586956673664, 57.84156453194511, 58.49537578039735, 59.13630021585702, 59.76460313632516, 60.38053659326248, 60.98434027477842, 61.57624231195432, 62.156460016375895, 62.72520055595705, 63.28266157528625, 63.82903176598848, 64.36449139196144, 64.88921277378809, 65.40336073615043, 65.90709302164586, 66.40056067404271, 66.88390839368758, 67.35727486749478, 67.82079307569865, 68.27459057732852, 68.71878977617204, 69.15350816881946, 69.57885857622698, 69.9949493601023, 70.40188462529278, 70.79976440924625, 71.18868485952076, 71.56873840022803, 71.94001388821957, 72.30259675975357, 72.65656916831588, 73.0020101142125, 73.33899556649821, 73.66759857775976, 73.98788939222922, 74.29993554766402, 74.6038019713967, 74.89955107092383, 75.18724281937561, 75.46693483618103, 75.73868246321804, 76.00253883671871, 76.25855495517634, 76.50677974348416, 76.7472601135181, 76.98004102136123, 77.2051655213509, 77.42267481711818, 77.63260830977697, 77.83500364340742, 78.0298967479686, 78.21732187976654, 78.39731165959286, 78.56989710864217, 78.73510768230899, 78.89297130195581, 79.04351438473942, 79.18676187157466, 79.32273725330963, 79.45146259518054, 79.57295855960933, 79.68724442740252, 79.7943381174038, 79.89425620465089, 79.98701393708075, 80.07262525082439, 80.1511027841286, 80.2224578899387, 80.2867006471718, 80.34383987070855, 80.39388312012626, 80.43683670719494, 80.4727057021534, 80.50149393878071, 80.52320401827468, 80.53783731194669, 80.54539396273974, 80.54587288557273, 80.53927176651244, 80.52558706077177, 80.50481398952921, 80.47694653556309, 80.4419774376904, 80.39989818399746, 80.35069900384741, 80.29436885864546, 80.230895431341, 80.1602651146418, 80.08246299791269, 79.99747285272774, 79.90527711704146, 79.80585687794104, 79.69919185293763, 79.58526036975105, 79.46403934453804, 79.33550425850925, 79.19962913287682, 79.05638650206753, 78.90574738513332, 78.74768125528361, 78.58215600745959, 78.40913792386218, 78.2285916373413, 78.04048009254382, 77.8447645047123, 77.64140431601645, 77.43035714929123, 77.21157875904515, 76.98502297959232, 76.75064167014958, 76.50838465672896, 76.25819967064106, 76.00003228341146, 75.7338258378958, 75.45952137536288, 75.17705755829543, 74.88637058863893, 74.58739412120599, 74.28005917191992, 73.96429402055416, 73.64002410759606, 73.30717192483039, 72.96565689920386, 72.6153952694932, 72.25629995525637, 71.88828041750057, 71.51124251044777, 71.12508832372276, 70.72971601422358, 70.3250196268654, 69.91088890330974, 69.48720907770438, 69.05386065836188, 68.61071919419696, 68.15765502462071, 67.69453301145526, 67.22121225127837, 66.73754576643724, 66.24338017277657, 65.73855532190824, 65.22290391560222, 64.69625108959825, 64.15841396382012, 63.60920115560954, 63.048412252184086, 62.47583723804781, 61.89125587253905, 61.29443701207226, 60.685137870908434, 60.063103213449395, 59.42806447008074, 58.779738767454084, 58.11782786277776, 57.44201697013246, 56.75197346500417, 56.047345451070285, 55.32776017071968, 54.59282223774416, 53.842111667001134, 53.07518167147811, 52.2915561919163, 51.4907271177565, 50.67215115037311, 49.83524625000333, 48.9793875959896, 48.103902975323, 47.20806749619816, 46.29109750029592, 45.35214351836215, 44.39028207640574, 43.40450611183641, 42.39371369642255, 41.35669468091959, 40.29211476729719, 39.19849636817654, 38.074195414053996, 36.91737299440897, 35.72596033455784, 34.497615063310356, 33.2296659340462, 31.919041990012854, 30.562180392324606, 29.154904379789162, 27.87212904474897, 26.53656859501707, 25.36350208148324, 24.142710544825153, 23.069356436242163, 21.954091058140115, 20.97270426302982, 19.954357669465853, 19.05759406939146, 18.12812196480344, 17.3090800053679, 16.461003407298506, 15.713238544224401, 14.93963180457644, 14.257155327800628, 13.55162528184298, 12.92889299538005, 12.285552746119123, 11.717447229279728, 11.130886960662393, 10.612695962910193, 10.077952416555421, 9.605345141785046, 9.117870868056094, 8.686873355517992, 8.242506486331147, 7.849476913361613, 7.444411947186794, 7.086016410049437, 6.716776320010708, 6.389965459011077, 6.053375306725936, 5.755362006474299, 5.448524154290696, 5.176762453843025, 4.897033404628846, 4.649198683521502, 4.394167532957592, 4.168137990912882, 3.9356064467268546, 3.729445860434318, 3.517409762646867, 3.3293514794937615, 3.1359837425308217, 2.964415855160184, 2.7880507447593277, 2.6315023799913813, 2.470621033980835, 2.3277496843995458, 2.180966786206868, 2.0505466122572393, 1.916598130067342, 1.7975091683137572, 1.675241083954177, 1.5664593203017596, 1.4548172990358086, 1.3554056255001141, 1.2534256411158955, 1.16252586315284, 1.0693259456344213, 0.986152380364261, 0.9009260326038057, 0.8247621945819751, 0.7467749898076709, 0.6769773311133622, 0.6055706894581084, 0.541589506402922, 0.47620183962412804, 0.4176418383344498, 0.3578698124826172, 0.3046159503618334, 0.25034261245635336, 0.20265971709244562, 0.15416188163170425, 0.11239039644258675, 0.07004458681861772, 0.03400976331847612, -0.00232654242501667, -0.03321288349594598, -0.06415129067980577, -0.090380041003814, -0.11647305351415355, -0.13827513445804204, -0.1598255338310376, -0.17762690517236226, -0.1951103401145212, -0.20968677235998015, -0.22390063857850231, -0.2360198709692452, -0.24774188597129493, -0.2589847717692182, -0.2684218194072714, -0.27741152926842255, -0.28590105545005107, -0.2938465597392209, -0.30120409987709773, -0.3083910897678905, -0.3128423111901893, -0.3170002014320201, -0.3207521179357156, -0.3240845353907314, -0.3269855873601796, -0.3291920330102769, -0.33104480069579134, -0.3323595331549979, -0.333281028892587, -0.3339987793514546, -0.3345314841132618, -0.3348732105097476, -0.33488522585232766, -0.3344086946724455, -0.3331737885599508, -0.33090688683809477, -0.32775849019060954, -0.3237711968973627, -0.3189924561305507, -0.31347296993362506, -0.30726520843893435, -0.30042210305727957, -0.29297752861912085, -0.28464043800920397, -0.27534014631643156, -0.2649918436028803, -0.2534984855783718, -0.24074797635286543, -0.22660939321779636, -0.21092767975199003, -0.19351613869014075, -0.17414600661631985, -0.15253334999166746, -0.1283293096741035, -0.10114562136431993, -0.07073113916375401, -0.037435344908848, -0.002277911320634767, 0.03400263776930718, 0.07123967087501412, 0.10949105684898292, 0.1488562891131867, 0.189431112388584, 0.23130095964664732, 0.27454240244045186, 0.31922558348690144, 0.36541625207499123, 0.4131772681672351, 0.462569678871997, 0.5136534851119308, 0.5664881894520872, 0.6211331887817189, 0.67764805524152, 0.7360927347942915, 0.7965276833337465, 0.8590139539656592, 0.9236132446455587, 0.990387912452462, 1.0594009586923667, 1.1307159873832866, 1.2043971386773733, 1.2805089977819522, 1.3591164792818782, 1.4402846861339849, 1.5240787421016524, 1.6105635958657827, 1.6998037945380275, 1.7918632238766472, 1.886804811865624, 1.9846901918380697, 2.085579320593893, 2.1895300462730587, 2.296597619865622, 2.4068341432484837, 2.520287945397649, 2.63700287706359, 2.757017512373783, 2.8803642436742725, 3.0070682533679927, 3.1371463429714694, 3.2706055955026825, 3.4074418418236143, 3.54763789432264, 3.691161502051819, 3.8379629687331627, 3.987972357910329, 4.141096185638, 4.297213467573806, 4.456170938569151, 4.617777191239293, 4.781795370678811, 4.9479338920225615, 5.115834370636573, 5.285055488083654, 5.455050689924647, 5.625136061276657, 5.794441605862461, 5.961832289382403, 6.12708568658509, 6.2902980952292, 6.423302309352567, 6.555027739244182, 6.685517886991923, 6.834697523027372, 7.001389601718698, 7.183599285703494, 7.380365995325223, 7.5912350021425725, 7.816058108817783, 8.054892141882812, 8.307942830506088, 8.575531751850457, 8.858076049042253, 9.156075708166618, 9.470105559941908, 9.800810373702973, 10.148902056453194, 10.515158334709461, 10.900422510944738, 11.305843732383448, 11.73258110345866, 12.181696555827116, 12.65433306795601, 13.151708880511329, 13.67511989060668, 14.2259417131356, 14.805631674269872, 15.415730619548864, 16.057864431737197, 16.73374515171569, 17.445171594700625, 18.19402935793307, 18.982290124085544, 19.812010178878143, 20.685328081751322, 21.604461456411833, 22.571702898156826, 23.58941502761169, 24.660024745759323, 25.786016759025355, 26.96992643060014, 28.214331968077104, 29.52184585995779, 30.895105312400954, 32.22976752575932, 33.521027825421825, 34.772064884503536, 35.98563607753659, 37.16415350071792, 38.30974300129005, 39.42429067041138, 40.50947993032028, 41.56682145841809, 42.5976775822257, 43.60328235409767, 44.584758212618084, 45.543129919746676, 46.47933630336825, 47.39424021672374, 48.2886370375511, 49.16326196252141, 50.01879630103417, 50.855872932579835, 51.675081060777, 52.47697037272064, 53.262054692874386, 54.03081520524521, 54.78370330511903, 55.5211431315536, 56.243533823617824, 56.95125153664661, 57.644651249249044, 58.32406838723154, 58.989820286793204, 59.64220751617283, 60.281515072262444, 60.90801346645619, 61.52195971210563, 62.12359822434017, 62.71316164163844, 63.290871577362275, 63.85693930845808, 64.41156640766359, 64.95494532481032, 65.48725992216406, 66.00868596818422, 66.51939159359284, 67.01953771321755, 67.50927841669879, 67.98876133082398, 68.45812795596314, 68.91751397882653, 69.36704956354099, 69.80685962284268, 70.23706407100879, 70.6577780599936, 71.06911220009604, 71.47117276636105, 71.86406189180653, 72.24787774846878, 72.62271471716927, 72.98866354682723, 73.34581150406946, 73.69424251382421, 74.03403729152868, 74.36527346752494, 74.68802570417361, 75.00236580616904, 75.30836282450265, 75.60608315448367, 75.89559062819501, 76.17694660173218, 76.45021003754611, 76.71543758218597, 76.97268363971595, 77.22200044105897, 77.46343810950118, 77.69704472257423, 77.92286637051606, 78.14094721149603, 78.3513295237773, 78.5540537549758, 78.74915856856487, 78.93668088776293, 79.11665593693223, 79.28911728060723, 79.45409686026291, 79.61162502892486, 79.76173058371674, 79.90444079643211, 80.0397814422131, 80.16777682641047, 80.28844980969585, 80.4018218314897, 80.50791293176563, 80.60674177128483, 80.69832565031183, 80.78268052585723, 80.85982102748991, 80.92976047175684, 80.99251087524516, 81.04808296631823, 81.09648619555271, 81.13772874490219, 81.17181753560827, 81.19875823487811, 81.21855526134331, 81.23121178931368, 81.2367297518352, 81.23510984255937, 81.22635151642834, 81.21045298917764, 81.18741123565486, 81.1572219869506, 81.119879726336, 81.07537768399587, 81.02370783054636, 80.96486086932211, 80.89882622741415, 80.82559204543834, 80.74514516601, 80.65747112089699, 80.56255411682166, 80.46037701987628, 80.35092133851559, 80.23416720508396, 80.11009335583243, 79.97867710937554, 79.83989434353435, 79.69371947050699, 79.5401254103026, 79.37908356237072, 79.2105637753506, 79.03453431486126, 78.85096182924482, 78.65981131316968, 78.46104606899283, 78.25462766577276, 78.04051589581611, 77.81866872863156, 77.58904226215516, 77.35159067110115, 77.10626615228067, 76.85301886671769, 76.5917968783791, 76.32254608932156, 76.0452101710409, 75.75973049179406, 75.46604603964389, 75.16409334095752, 74.85380637406662, 74.53511647777316, 74.2079522543593, 73.8722394667292, 73.5279009292793, 73.17485639205968, 72.81302241774864, 72.4423122509224, 72.06263567905259, 71.67389888461507, 71.2760042876344, 70.86885037792605, 70.45233153622769, 70.02633784333253, 69.59075487625144, 69.14546349033347, 68.69033958616428, 68.22525385994415, 67.75007153590845, 67.2646520792024, 66.76884888745002, 66.26250895906345, 65.74547253612187, 65.21757271939933, 64.67863505284346, 64.12847707448525, 63.56690783039983, 62.99372734792045, 62.40872606383487, 61.811684202746115, 61.20237110015335, 60.5805444640826, 59.9459495682587, 59.29831836883423, 58.63736853555819, 57.96280238693871, 57.27430571739948, 56.571546502598444, 55.85417346691467, 55.121814494543024, 54.374074862584145, 53.61053527085961, 52.83074963879589, 52.034242634420146, 51.22050689407942, 50.38899988365495, 49.5391403424211, 48.670304238828756, 47.78182015275531, 46.87296398033718, 45.942952834311356, 44.990937983370074, 44.015996636413355, 43.01712232906185, 41.99321360661703, 40.943060614586855, 39.86532909747508, 38.75854115803924, 37.621051926969905, 36.45102101364937, 35.24637721706332, 34.00477441772717, 32.723535760965355, 31.399582040722112, 30.029338371920417, 28.608610406311975, 27.30504552503278, 25.94782526138508, 24.760306864204026, 23.523949007617293, 22.440880706820362, 21.31512076965256, 20.3279974090343, 19.30339110658417, 18.40421371856397, 17.472005399691252, 16.653310151627494, 15.805415512439481, 15.060275663049826, 14.28925360496227, 13.611267431893543, 12.91028577432426, 12.29355580248154, 11.656353823482435, 11.095460913025182, 10.516310700631157, 10.006285383193019, 9.47995331081768, 9.016245979972306, 8.537955164066647, 8.116406194465219, 7.681800478270159, 7.298610982833271, 6.9037207741376925, 6.5554244559840775, 6.1966345962272, 5.880070976068834, 5.554090715009195, 5.2663798918367215, 4.970214970206635, 4.7087339878340355, 4.439660783058619, 4.202021615602937, 3.957563273443177, 3.74159240262581, 3.5194968579996098, 3.3232163882459247, 3.121436166903702, 2.9430464073317113, 2.759720094833643, 2.5975835281857846, 2.4310187932064693, 2.283645349973386, 2.132303413715715, 1.9983369759092617, 1.860818432163662, 1.739024510608519, 1.6140564252568763, 1.5033109988324946, 1.3897352670292404, 1.2890148714245997, 1.185777914891416, 1.0941512928046435, 1.000295409759242, 0.9169175534973548, 0.8315747603305994, 0.755685396562935, 0.6780758299669736, 0.6090072027401844, 0.5384469741893335, 0.4756514786436203, 0.41158060975574723, 0.35469484338440416, 0.29674208911177835, 0.2456790395242876, 0.1937562753383652, 0.14867651511250246, 0.10295515486471035, 0.06389079575213982, 0.024424686635209872, -0.009075033523591576, -0.04273078122808997, -0.07140881946489769, -0.10002393947257616, -0.12451201323964664, -0.14876386356509055, -0.169320304600171, -0.18952603607210725, -0.20622966092703077, -0.22253401340328263, -0.23589726668399166, -0.24884131956436073, -0.2596247214258873, -0.2699714445085129, -0.2787896788745242, -0.2871539843344873, -0.2950025728096182, -0.30228587185361977, -0.30826185356140556, -0.3137112370744769, -0.3186419967068517, -0.32285751349749037, -0.326461723700396, -0.32911244636708753, -0.33124444130897424, -0.3328414388802693, -0.33378360005613417, -0.3343051234613779, -0.3344009080942335, -0.33415566774631283, -0.33370763841051815, -0.3330406601975056, -0.33205322786404534, -0.3305358763735488, -0.32830485812526006, -0.32499090459845686, -0.3202206390986455, -0.3145488875380617, -0.30872075871891286, -0.3022422618583391, -0.2951356520169558, -0.28731574094826645, -0.2787204141791355, -0.2692873587895479, -0.25894993783049125, -0.24763497628981943, -0.23526080396465612, -0.22173510160194967, -0.20695224990423042, -0.1907898676750678, -0.17310412622819793, -0.15372327485186393, -0.1324387039310997, -0.10899325770111117, -0.08306933165899558, -0.05429245314233941, -0.02231565262760635, 0.012852330254934773, 0.05040483682715036, 0.08925946819482088, 0.12893095743171515, 0.16938662726121562, 0.21072111306162386, 0.2530408283872877, 0.2964402950756567, 0.3410009165940067, 0.3867937589672169, 0.43388234492460054, 0.4823247972624487, 0.5321753726411642, 0.5834855344112275, 0.6363046945874065, 0.690680719638001, 0.7466602654591812, 0.8042889859232312, 0.8636116448648986, 0.9246721517809117, 0.9875135345656373, 1.0521778581389647, 1.1187060942857117, 1.1871379456088638, 1.2575116244534223, 1.3298635861971608, 1.404228214716163, 1.480637456673414, 1.5591203999062826, 1.6397027897094039, 1.7224064753897383, 1.807248777522184, 1.894241764189169, 1.983391421761693, 2.0746967023801695, 2.168148425836014, 2.263728007907894, 2.3614059795529916, 2.4611402509868086, 2.5628740605776277, 2.666533528647417, 2.7720247075623345, 2.879229977989549, 2.988003578155738, 3.0981659556126195, 3.2094964751698085, 3.3217237568601354, 3.434512465770825, 3.547444543827006, 3.6599912402955233, 3.7714688139813206, 3.881532137360221, 3.990245279635792, 4.082963491108635, 4.160400013529238, 4.237199337725249, 4.32841791226115, 4.432443901971631, 4.547285973915289, 4.6720066390761055, 4.806137165645341, 4.949473754052219, 5.101980809260255, 5.263739914755586, 5.4349207512650475, 5.615763655408283, 5.806568840436827, 6.007689673055188, 6.219528551166153, 6.442534526739983, 6.67720214753518, 6.924071181185856, 7.183801167021229, 7.457232814538352, 7.745052373977604, 8.048006408230497, 8.366894182661891, 8.702569907412368, 9.055944652441546, 9.42798830249638, 9.819731458916003, 10.232267210824848, 10.666752691599044, 11.12441033318785, 11.606528728670193, 12.114463016957913, 12.649634712852473, 13.213530923982736, 13.807702925439807, 14.43376410264423, 15.093387324882846, 15.788301870817918, 16.52029009029746, 17.29118404407139, 18.102862405990642, 18.957247931453033, 19.856305780697987, 20.802042934577237, 21.796508855743685, 22.841797435124157, 23.940050141588696, 25.09346017252387, 26.304277303226726, 27.574813057941558, 28.907445780929528, 30.30462515695687, 31.67231430476175, 32.99323026070617, 34.27100963966922, 35.50878278631915, 36.709269409583406, 37.87485190731178, 39.007632470804616, 40.10947817890174, 41.182057052642854, 42.22686720644158, 43.24526065708401, 44.23846294908522, 45.20758946786019, 46.15365910442388, 47.077605782906105, 47.980288248886275, 48.86249843138119, 49.72496862657756, 50.568377701700435, 51.3933564788919, 52.20049242886824, 52.990333780399354, 53.76339313281559, 54.52015064368285, 55.26105685165678, 55.98653518470369, 56.6969841958655, 57.39277956218406, 58.074275876992765, 58.74180826130458, 59.39569381630022, 60.0362329358052, 60.663710495029825, 61.278396929642895, 61.88054921738399, 62.470411772834765, 63.048217264618955, 63.614187363146, 64.16853342602056, 64.71145712738576, 65.24315103673294, 65.76379915206881, 66.27357739177859, 66.77265404903935, 67.26119021221693, 67.7393401543089, 68.20725169417405, 68.66506653200179, 69.1129205612263, 69.55094415886619, 69.97926245607373, 70.39799559050694, 70.80725894197782, 71.20716335269702, 71.59781533330882, 71.97931725580239, 72.35176753428561, 72.71526079452028, 73.06988803303798, 73.41573676658426, 73.75289117257542, 74.08143222119303, 74.40143779968986, 74.71298282943243, 75.01613937616445, 75.31097675393244, 75.5975616230856, 75.8759580827216, 76.1462277579283, 76.40842988214028, 76.66262137490409, 76.9088569153275, 77.1471890114624, 77.37766806585732, 77.6003424374933, 77.81525850030559, 78.022460698475, 78.22199159866166, 78.4138919393417, 78.59820067739302, 78.7749550320696, 78.9441905264912, 79.10594102676636, 79.26023877885991, 79.40711444330616, 79.54659712786304, 79.67871441819428, 79.80349240666263, 79.92095571930814, 80.03112754108163, 80.13402963939878, 80.22968238607272, 80.31810477768202, 80.39931445442303, 80.47332771749362, 80.54015954504933, 80.59982360677274, 80.65233227708791, 80.69769664705422, 80.73592653496475, 80.76703049567678, 80.7910158286937, 80.80788858501849, 80.81765357279444, 80.82031436174498, 80.81587328642374, 80.8043314482819, 80.78568871655787, 80.75994372798912, 80.72709388534797, 80.68713535479644, 80.64006306205388, 80.58587068736884, 80.52455065928139, 80.45609414716562, 80.38049105252912, 80.29772999905266, 80.20779832134575, 80.11068205239009, 80.00636590964157, 79.89483327975731, 79.77606620190979, 79.65004534964872, 79.51675001126416, 79.37615806860182, 79.22824597427976, 79.07298872724418, 78.91035984660638, 78.74033134368807, 78.5628736922051, 78.37795579650741, 78.18554495779141, 77.98560683819102, 77.77810542264724, 77.56300297845014, 77.3402600123356, 77.10983522501363, 76.8716854629919, 76.62576566755047, 76.37202882071213, 76.1104258880379, 75.84090575806745, 75.56341517820755, 75.2778986868564, 74.98429854153696, 74.68255464278944, 74.3726044535567, 74.05438291377448, 73.72782234984966, 73.39285237869001, 73.0493998059142, 72.69738851784436, 72.33673936684126, 71.96737004951414, 71.58919497728533, 71.20212513874918, 70.80606795320914, 70.40092711472657, 69.98660242594177, 69.56298962086719, 69.12998017577029, 68.6874611071748, 68.23531475591909, 67.77341855609528, 67.30164478757564, 66.81986031069654, 66.32792628151928, 65.82569784591155, 65.31302381050536, 64.78974628836617, 64.25570031696154, 63.71071344573503, 63.154605290277765, 62.587187049720164, 62.00826098355388, 61.417619843620315, 60.81504625645132, 60.200312050519855, 59.57317752223458, 58.93339063366346, 58.2806861340026, 57.614784595656104, 56.93539135446839, 56.24219534208089, 55.534867796542194, 54.81306083512779, 54.07640587073303, 53.3245118501285, 52.55696328867569, 51.7733180716666, 50.973104987095155, 50.155820948156986, 49.320927855831734, 48.46784904214568, 47.595965222657746, 46.70460987173094, 45.79306391539842, 44.860549612989, 43.90622346864617, 42.92916797540809, 41.92838194480892, 40.90276911013651, 39.85112460605137, 38.77211881347635, 37.66427790524503, 36.52596021849225, 35.35532728959933, 34.15030797936476, 32.90855353216272, 31.627380561619752, 30.303697688182364, 28.933909622951397, 27.51378947084684, 26.221972790072424, 24.876717979255396, 23.7029685182208, 22.480925022762932, 21.413310580232455, 20.30362393102447, 19.33317901728946, 18.325917582448163, 17.44426726760076, 16.53028017929851, 15.7296538787565, 14.900536316173223, 14.17375765951068, 13.421808970351131, 12.762273874559872, 12.080452328415841, 11.482100154454896, 10.863976655005386, 10.321257654592612, 9.760969921957075, 9.26881108720848, 8.761019272444184, 8.314789977062192, 7.854634301040359, 7.450112635612932, 7.033173392353249, 6.666513765897515, 6.288773859875798, 5.9564762147270685, 5.614286285066169, 5.313167117299565, 5.003213224529064, 4.7303784964083135, 4.449652296032141, 4.202472255199899, 3.948243550160533, 3.7243294220640695, 3.4941209670228144, 3.2913034564566868, 3.082867877762297, 2.8991773970008468, 2.7104760898363525, 2.544124622735062, 2.373308491446566, 2.2226730041646254, 2.0680649227576255, 1.9316722442675174, 1.7917511342802481, 1.668264259939689, 1.5416507200050018, 1.4298565547886395, 1.3153000452654713, 1.214098734559212, 1.1104664582940873, 1.0188627330891207, 0.9251306387749884, 0.8422282041747222, 0.7574751483402211, 0.6824764374094425, 0.6058838419265206, 0.5381000419645207, 0.46896197373343224, 0.40784202923383833, 0.3455944283429412, 0.290779626723321, 0.23505537004234967, 0.18642471505149624, 0.1371001239414185, 0.09466208365803273, 0.05175013075829032, 0.015306962591104737, -0.021384391827111392, -0.05242341115212625, -0.08349490598348777, -0.10992086432587254, -0.13619099170717625, -0.15872473578703064, -0.18094564154519424, -0.2000301512004638, -0.21867884332715554, -0.23432364448264556, -0.2494724971534036, -0.26174219130713827, -0.27352069941138557, -0.28304658823799284, -0.2920898915896655, -0.2995337086262137, -0.3064981763188604, -0.31291506753752557, -0.31795897608050633, -0.32252679265527173, -0.3265782855432028, -0.3296472674509064, -0.3322767216894643, -0.3346696705673838, -0.3365491974202715, -0.33769890203361086, -0.3380787915855744, -0.33789217568072, -0.3371254638549104, -0.3359872596658725, -0.33440350446238726, -0.3323720227000579, -0.3303799982884959, -0.3280903572640775, -0.3255053292640471, -0.3221328994880881, -0.3175863204263912, -0.3111333739856405, -0.3037254917327707, -0.2955185303240765, -0.2865618594255627, -0.27690846191052326, -0.26661338304531224, -0.2557323186089853, -0.24428447422935012, -0.23193142227404737, -0.21860327771235177, -0.2042217173512338, -0.18869950580282407, -0.17193788728124357, -0.1538234896739738, -0.13422435819477158, -0.11298467855034462, -0.08991768589188526, -0.0647964904045075, -0.03734414708764589, -0.007231263205975876, 0.025884816076149123, 0.062177498355054775, 0.101239914186181, 0.14202147147055694, 0.1836727903331628, 0.2259300662540151, 0.2688204432559646, 0.31244044874992855, 0.3568871352710012, 0.4022445630592116, 0.44858393825570614, 0.4959661939056083, 0.5444444290500724, 0.5940657606224511, 0.6448726312052911, 0.6969036958175429, 0.7501943970722806, 0.804777309940448, 0.8606823127074252, 0.9179366223616614, 0.976564719480863, 1.036588178320493, 1.0980254109447052, 1.160891328884002, 1.2251969216846654, 1.2909487476870907, 1.3581483289256986, 1.4267914378827007, 1.4968672594013621, 1.5683574054913527, 1.6412347534438088, 1.7154620682109472, 1.7909903566727243, 1.8677568827886468, 1.945682745417399, 2.0246698803317584, 2.1045972856530515, 2.185316171803833, 2.266643574822032, 2.3483536934483635, 2.43016570583587, 2.5117258495385517, 2.5925795237078657, 2.672392261971188, 2.7512113693046993, 2.820284292757072, 2.8789931209776616, 2.93718991461505, 3.000378407675196, 3.0733543275139588, 3.1542830397314066, 3.242372380764716, 3.33721866749058, 3.438632594750794, 3.5465578340421158, 3.6610290107678987, 3.7821480870435753, 3.9100703285927323, 4.044995679362727, 4.187163391459402, 4.3368487240932625, 4.494361021018776, 4.660042746049918, 4.834269209990174, 5.017503451704287, 5.210337815772663, 5.41325362127969, 5.626775925961221, 5.851468148071772, 6.087933741431287, 6.336817645172094, 6.598807760667177, 6.874636379875186, 7.165081497771763, 7.470967934420381, 7.79316818674085, 8.13260292656355, 8.490241062448277, 8.867099290420665, 9.264241075536784, 9.682775034675922, 10.123852732764677, 10.588665959381846, 11.07844361774893, 11.594448427774523, 12.137973709390222, 12.710340558809168, 13.312895748304127, 13.947010656600666, 14.61408147137175, 15.315530801056937, 16.05281070468267, 16.827407018120585, 17.640844741932046, 18.4946941803679, 19.390577490291015, 20.330175311393216, 21.315233197886556, 22.347567639686424, 23.429071536190882, 24.561719056241245, 25.74756987519666, 26.98877282319841, 28.287569007971467, 29.646294494280788, 31.01788818260437, 32.34066464530964, 33.618586638165546, 34.85504566035687, 36.052973395916716, 37.21492636831684, 38.34315132811784, 39.439636509738335, 40.506152343412026, 41.544284175741446, 42.55545884917222, 43.540966502597236, 44.501978610421006, 45.43956302982325, 46.354696645607, 47.24827606888431, 48.12112674636946, 48.97401076186324, 49.807633554100484, 50.62264973086007, 51.41966812479266, 52.19925620939447, 52.96194397218378, 53.708227325110464, 54.43857111857137, 55.15341181437691, 55.8531598640568, 56.53820183157298, 57.208902293495036, 57.86560554472651, 58.508637133750256, 59.13830524792507, 59.75490196648623, 60.358704396484946, 60.94997570485449, 61.52896605806157, 62.095913479325986, 62.6510446321306, 63.19457553767021, 63.72671223295757, 64.24765137550536, 64.75758079981561, 65.25668003030594, 65.74512075477989, 66.22306726209925, 66.69067684731351, 67.14810018715865, 67.59548168852666, 68.03295981224484, 68.46066737425872, 68.87873182610966, 69.28727551640876, 69.68641593484183, 70.07626594009957, 70.45693397298905, 70.82852425586997, 71.1911369794554, 71.5448684779191, 71.88981139317231, 72.22605482909229, 72.55368449642278, 72.87278284900019, 73.18342921190602, 73.48569990209671, 73.77966834201634, 74.06540516665441, 74.34297832447677, 74.6124531726233, 74.87389256673148, 75.12735694572164, 75.37290441185219, 75.61059080632653, 75.84046978071727, 76.06259286445083, 76.27700952857428, 76.48376724601714, 76.6829115485395, 76.87448608054416, 77.05853264992025, 77.23509127607413, 77.404200235287, 77.56589610353528, 77.720213796894, 77.86718660964186, 78.00684625017001, 78.1392228747955, 78.26434511957088, 78.3822401301743, 78.4929335899592, 78.59644974623693, 78.69281143485823, 78.7820401031582, 78.86415583132114, 78.93917735221785, 79.00712206976485, 79.06800607585033, 79.12184416586648, 79.16864985288704, 79.20843538052307, 79.24121173448437, 79.26698865287888, 79.28577463526894, 79.29757695050785, 79.30240164337374, 79.30025354001731, 79.2911362522319, 79.27505218055911, 79.2520025162361, 79.2219872419866, 79.18500513165921, 79.14105374871062, 79.09012944353046, 79.03222734960063, 78.96734137847999, 78.89546421360305, 78.81658730287678, 78.73070085005806, 78.63779380489188, 78.53785385198555, 78.4308673983926, 78.31681955987752, 78.19569414582367, 78.06747364275306, 77.93213919641298, 77.7896705923861, 77.64004623517611, 77.4832431257152, 77.31923683723414, 77.148001489436, 76.96950972090133, 76.78373265965608, 76.5906398918197, 76.39019942824953, 76.18237766908919, 75.96713936612254, 75.74444758282341, 75.51426365199015, 75.27654713083628, 75.03125575340634, 74.77834538017095, 74.51776994464625, 74.24948139687058, 73.97342964355464, 73.68956248471162, 73.39782554655727, 73.09816221045025, 72.79051353762529, 72.47481818945407, 72.15101234294572, 71.81902960117128, 71.47880089827522, 71.13025439870296, 70.7733153902486, 70.4079061704815, 70.03394592608528, 69.65135060458567, 69.260032777911, 68.85990149716524, 68.45086213794484, 68.03281623546115, 67.60566130866489, 67.16929067248535, 66.72359323721163, 66.26845329394811, 65.80375028496137, 65.32935855762007, 64.84514710048684, 64.35097925996877, 63.84671243576169, 63.332197753121584, 62.80727970978128, 62.27179579507739, 61.72557607856142, 61.16844276505409, 60.600209712723945, 60.02068191034745, 59.42965490942867, 58.82691420628708, 58.21223456858711, 57.585379300030645, 56.946099436074554, 56.294132862524194, 55.629203347686946, 54.951019477389096, 54.259273480546824, 53.553639931076525, 52.8337743096746, 52.09931140630981, 51.34986354107501, 50.58501857719706, 49.80433769537994, 49.00735289304937, 48.193564165241085, 47.36243631553264, 46.513395335128195, 45.64582427547834, 44.75905852393587, 43.85238037201579, 42.92501274061022, 41.9761118943676, 41.00475893610917, 40.009949818540235, 38.99058354025139, 37.945448099994096, 36.87320365865039, 35.77236218943799, 34.641262664830144, 33.47804050507212, 32.28058955457923, 31.04651419093504, 29.773068197782372, 28.4570755687132, 27.094826151714788, 25.681935464050017, 24.442872491562397, 23.151392536068407, 22.026764634919598, 20.856415442987704, 19.83601104031683, 18.775861803357056, 17.850583508827523, 16.89060712100748, 16.05201413855382, 15.183020693683654, 14.423322422113227, 13.636909225275476, 12.94894287112651, 12.237441337078973, 11.614640799561627, 10.971062783503495, 10.407422876731172, 9.825408027270067, 9.315446667569592, 8.789211788221685, 8.327931843808152, 7.8522228467428485, 7.435074735218119, 7.005121502437718, 6.6279672142862305, 6.239441500498526, 5.898520453280109, 5.5474968452468945, 5.239393788619429, 4.922313657383741, 4.643928725221037, 4.357567057748227, 4.106087980389867, 3.8475229469573184, 3.620399382712205, 3.386984481090282, 3.181904392159575, 2.971243003415458, 2.78611098283901, 2.59603317608201, 2.4289506257083264, 2.2574920585075526, 2.1067391231105406, 1.952121901492889, 1.816141083674373, 1.6767564750379198, 1.5541378970625572, 1.4285308390919442, 1.3179992003274132, 1.204854638470199, 1.105258079634949, 1.00338933517766, 0.913690746662574, 0.8220304493932019, 0.7413024144909749, 0.6588971920386058, 0.5863230068005983, 0.5123343704196823, 0.44721956051132705, 0.38093538189048004, 0.3227350454042695, 0.2635968641197744, 0.21195333763232377, 0.15959384725339382, 0.11433065257178764, 0.06856725826982389, 0.02953033736141412, -0.00979512521149258, -0.042996542117116995, -0.07628339372890043, -0.10433014307575145, -0.13227960141212414, -0.15595984559001408, -0.17938709671263206, -0.19942102632232742, -0.2190684098342698, -0.23599728221726518, -0.252421048800493, -0.26643681211397907, -0.2798601525891689, -0.2907576083442193, -0.30106630645308846, -0.3091269724545206, -0.31664562031329074, -0.322555995696876, -0.32795602773766525, -0.3322095371814055, -0.3359830622997269, -0.33886987563835796, -0.3413206386753914, -0.34293447067742655, -0.34423998680558066, -0.34532200293608145, -0.34606102409473044, -0.34602399758973884, -0.3451781126563918, -0.34357031706650965, -0.341544022012268, -0.3389138371656075, -0.3356702707274018, -0.3323234744304984, -0.3285010310806324, -0.3246557477708136, -0.3209152972705418, -0.3168763724576687, -0.3121521150667793, -0.30582618779358395, -0.2971458641991219, -0.28708401591288973, -0.2762091345168972, -0.2645789568435287, -0.252254891986788, -0.23930017770386539, -0.22577821887658797, -0.21175117888310235, -0.19698181889322663, -0.18122708471353, -0.16441085492928414, -0.14644696922455355, -0.12723854395225612, -0.10667504984437855, -0.08462876101466378, -0.06095018526130221, -0.03546216456023153, -0.00795275213583163, 0.02183121250202744, 0.054181300670437, 0.08938581421907645, 0.1275724790020429, 0.1683825643532123, 0.21088128566203318, 0.2541965619164027, 0.29796420519679256, 0.3421479875761642, 0.3868177093779854, 0.4320589716991405, 0.47794900215681524, 0.5245528045228344, 0.5719243018301794, 0.6201082284562385, 0.6691417355980591, 0.7190555438548952, 0.769874689967232, 0.8216189478654102, 0.8743029922164951, 0.9279363529116285, 0.9825231909918264, 1.0380619119162902, 1.0945446197669049, 1.151956405221505, 1.210274449175748, 1.2694669118599247, 1.3294915620561467, 1.3902940806888764, 1.4518059439407995, 1.513941747350905, 1.5765957642066475, 1.6396374209054476, 1.702905183609337, 1.7661980142927098, 1.8292629155324014, 1.8917757780402842, 1.9534592918753713, 2.0143512400745407, 2.0744865941793127, 2.12093059657256, 2.1669477135109996, 2.2146296903927527, 2.269960663671462, 2.3313944539356606, 2.398279587282565, 2.4702791228102337, 2.547228118328565, 2.629067399885006, 2.7158096164182757, 2.8075202428626183, 2.9043063171870935, 3.0063095202008037, 3.1137018597631614, 3.2266830053823004, 3.3454787198133396, 3.47034005152105, 3.601543075301608, 3.7394558436939795, 3.884495361126597, 4.0370191268844735, 4.197416738353832, 4.366106940984629, 4.543538816674561, 4.730192842170409, 4.9265819452410415, 5.133252494671055, 5.350785161740062, 5.5797955842663045, 5.820934758466326, 6.07488908120829, 6.342379967094612, 6.624162974296083, 6.921026393345449, 7.233789285724191, 7.563299006531416, 7.910428306324595, 8.276072176985185, 8.661144676885955, 9.066576029519291, 9.493310321538868, 9.942304118301847, 10.414526259543887, 10.9109589968714, 11.43260050251486, 11.980468637915076, 12.55560574820305, 13.159084165388338, 13.792012072288914, 14.455539397558532, 15.150863470824934, 15.879234244301792, 16.641958971462092, 17.440406304088302, 18.27600982676837, 19.150271082787956, 20.064762164220276, 21.021127945545327, 22.02108803434717, 23.066438506424483, 24.159053481151425, 25.30088658562621, 26.493972351998597, 27.740427594327087, 29.042452821396694, 30.38311951861776, 31.674877854689704, 32.92177863753279, 34.12727991431913, 35.29436416509789, 36.425626982305666, 37.52334533142543, 38.589530894777575, 39.625972323229895, 40.634269108528684, 41.615859035032344, 42.572040648251736, 43.50399181052051, 44.41278515144032, 45.29940102996887, 46.16473848457888, 47.00962454323455, 47.83482218600679, 48.64103719301343, 49.42892406408912, 50.19909116065432, 50.952105192108775, 51.68849514685115, 52.40875575035521, 53.113350518578144, 53.802714463561806, 54.47725649883015, 55.13736158462972, 55.783392646862126, 56.41569229844124, 57.03458438757208, 57.64037539391084, 58.23335569062091, 58.81380068784774, 59.38197187104879, 59.93811774583651, 60.482474699488506, 61.01526778798708, 61.53671145635612, 62.04701019911222, 62.54635916683566, 63.03494472415938, 63.512944963868456, 63.98053018126922, 64.43786331252507, 64.88510034025474, 65.32239066933504, 65.7498774755366, 66.16769802935265, 66.5759839971382, 66.97486172146321, 67.3644524823976, 67.74487274127725, 68.11623436834894, 68.47864485556809, 68.83220751569431, 69.17702166873278, 69.51318281666951, 69.84078280736944, 70.15990998842145, 70.47064935165601, 70.77308266899045, 71.06728862020816, 71.35334291322103, 71.63131839732566, 71.90128516991732, 72.16331067708883, 72.41745980850918, 72.66379498694602, 72.90237625276562, 73.13326134371638, 73.35650577028659, 73.57216288689376, 73.78028395915459, 73.98091822745621, 74.17411296704203, 74.35991354480214, 74.53836347294981, 74.70950445975001, 74.87337645745222, 75.03001770757557, 75.17946478367436, 75.32175263171023, 75.45691460814577, 75.58498251586461, 75.70598663801759, 75.8199557698883, 75.92691724886124, 76.02689698257329, 76.11991947531851, 76.20600785277969, 76.28518388514378, 76.35746800866407, 76.42287934571776, 76.48143572341223, 76.5331536907826, 76.5780485346235, 76.61613429399205, 76.6474237734158, 76.67192855483789, 76.6896590083259, 76.70062430156808, 76.70483240818285, 76.70229011485486, 76.69300302731716, 76.67697557519179, 76.65421101569996, 76.62471143624676, 76.58847775589169, 76.5455097257009, 76.4958059279882, 76.43936377443441, 76.3761795030896, 76.3062481742414, 76.22956366514676, 76.14611866360868, 76.05590466038748, 75.95891194042136, 75.85512957284334, 75.74454539976223, 75.62714602378632, 75.50291679425573, 75.37184179215166, 75.23390381364261, 75.08908435222801, 74.93736357943651, 74.77872032402277, 74.61313204961952, 74.4405748307767, 74.26102332733299, 74.07445075704699, 73.88082886641578, 73.68012789960248, 73.47231656538641, 73.25736200204314, 73.0352297400567, 72.80588366255374, 72.56928596334629, 72.32539710245689, 72.07417575899476, 71.81557878123309, 71.54956113373592, 71.2760758413635, 70.99507392997458, 70.70650436362993, 70.41031397808442, 70.10644741033703, 69.79484702399328, 69.47545283016906, 69.14820240364523, 68.81303079395933, 68.46987043108821, 68.11865102535448, 67.75929946114722, 67.39173968402261, 67.01589258069967, 66.63167585143358, 66.2390038741916, 65.8377875600117, 65.42793419885942, 65.00934729523641, 64.58192639272036, 64.14556688653472, 63.70015982315992, 63.24559168589086, 62.78174416513893, 62.30849391214781, 61.825712274648986, 61.33326501282588, 60.8310119937744, 60.31880686244313, 59.796496686805305, 59.2639215747557, 58.72091425992379, 58.167299653259185, 57.602894356853135, 57.0275061360187, 56.4409333451346, 55.84296430217836, 55.233376606185516, 54.61193639108689, 53.97839750845631, 53.33250063063834, 52.67397226446688, 52.002523664320876, 51.31784963153595, 50.61962718513601, 49.907514086424214, 49.1811471970698, 48.44014064685423, 47.68408378305822, 46.91253886841795, 46.12503848842944, 45.32108262126794, 44.5001353143592, 43.661620900210565, 42.80491966990144, 41.92936290480825, 41.03422714464599, 40.11872754128758, 39.182010111092936, 38.22314265094568, 37.24110402105501, 36.23477141552641, 35.20290513212501, 34.14413020453172, 33.0569140575102, 31.93953906349769, 30.79006848115173, 29.606303684703022, 28.385729755721293, 27.12544525609701, 25.82207008062775, 24.471622262448122, 23.2596783408888, 21.997796115417596, 20.901326535263536, 19.76030029343259, 18.767488557685947, 17.73609076567278, 16.837692508864258, 15.905729591271138, 15.093195041190716, 14.251358024779591, 13.516820243353665, 12.75662432368294, 12.09287019081649, 11.406593485684349, 10.807027227546103, 10.187650776593141, 9.646253861897243, 9.087404017925895, 8.598693853698336, 8.094587732087613, 7.653576695848803, 7.198971029939596, 6.801126794770149, 6.391270335676957, 6.0324780629874235, 5.663067524210843, 5.339594246001958, 5.006733705473254, 4.715195050390159, 4.4153586666459335, 4.152687973397632, 3.882685841615909, 3.6461056315853315, 3.4030525886863243, 3.1900483249122287, 2.971335508657096, 2.779631543207089, 2.582900514673918, 2.410438116381826, 2.233557366788584, 2.0784747246515156, 1.919518407711037, 1.780132523649, 1.6373612856890394, 1.512151710005835, 1.3839955400863946, 1.2715899784820321, 1.1566330847001731, 1.055795047170492, 0.9527629136995354, 0.8623818420954903, 0.770130892830359, 0.6892156977287304, 0.6067264863483607, 0.5344042723894002, 0.4607799541308174, 0.39630280055866934, 0.3307756833784652, 0.2735379823841969, 0.21548648535059767, 0.16504619119074276, 0.11401525328561783, 0.07008013956837356, 0.025765955146955687, -0.011926035852348738, -0.04979780466641595, -0.0816739593141207, -0.11354683941075343, -0.14026325171326823, -0.1668162896345633, -0.1891315603171875, -0.21114934572262042, -0.2297806896546549, -0.24800119502358658, -0.263552550942376, -0.2785896218739492, -0.29150819652561405, -0.30380860902203277, -0.31534447987218406, -0.32427293004176455, -0.3325126017420999, -0.33869437378089157, -0.3442609447998505, -0.34833423684037146, -0.35186504678430297, -0.3543778625499605, -0.3564157901635661, -0.3577143413988617, -0.3585321848724432, -0.35904917806989595, -0.35924950214091705, -0.35906460682802116, -0.35828890264464475, -0.3566465156110808, -0.3536666602735315, -0.3502842427810458, -0.34602563620937454, -0.3416541677815207, -0.3366065154528353, -0.33087609815647656, -0.32527866554477924, -0.31915396478225433, -0.312506880663343, -0.30689514169684184, -0.30096837130881, -0.2936156069838247, -0.2837206654328912, -0.26922108382830934, -0.25636657858978645, -0.24282610664016702, -0.22866010764144537, -0.21393049876039602, -0.1986991167698379, -0.1827960589359871, -0.16603040506994604, -0.14832968809067096, -0.1296185746431616, -0.10981579519589983, -0.08883168572115563, -0.0665657931360969, -0.04290418209498215, -0.01771614732481697, 0.009149882348432477, 0.037871165609440864, 0.06865505546666766, 0.1017384056668086, 0.13736709213454917, 0.17571577817006406, 0.21668632349632974, 0.2596726765980813, 0.3037514729200355, 0.348256491357688, 0.3929443147437714, 0.43780242972234973, 0.4828926532662516, 0.5282873887132195, 0.5740508709831429, 0.6202353268643016, 0.6668812617068102, 0.7140185478782016, 0.761667376897958, 0.8098388565083262, 0.8585352348352243, 0.9077497761037175, 0.9574663056859731, 1.007658421652872, 1.0582883424830967, 1.109305326566616, 1.1606435532488792, 1.212219287415886, 1.263927041497939, 1.3156342658708424, 1.3671737668898578, 1.4183324102979766, 1.4688333196002339, 1.5186456203859675, 1.5678003260358626, 1.6099685853264893, 1.645004057668072, 1.6797279308557638, 1.7190916382965031, 1.7642639077301374, 1.8141799230095, 1.8683505316685796, 1.926518389416953, 1.988554993386004, 2.054412354533249, 2.1240978005025086, 2.197659704942613, 2.2751789492400873, 2.356763639590675, 2.442545794727671, 2.532679292535872, 2.627338659351354, 2.726718447032335, 2.8310330353939195, 2.940621782028846, 3.055759756177914, 3.176727930595659, 3.3038303702922343, 3.437394224239932, 3.5777704980825322, 3.725334802450553, 3.8804880594457187, 4.043657111011093, 4.215295168323612, 4.395882034991452, 4.585924032926319, 4.78595355942591, 4.996528210496459, 5.218229421567849, 5.451660605438479, 5.697444810711716, 5.95622198218848, 6.228645973607621, 6.5153815348225885, 6.817101557290939, 7.134484895707151, 7.468215076749515, 7.818980147056575, 8.18747380491882, 8.57439782066633, 8.980465604420246, 9.40640665883348, 9.852971581205598, 10.320937264004792, 10.811111981237465, 11.324340122191492, 11.861506423487864, 12.423539636430139, 13.011415635430858, 13.626160020371678, 14.268850292141702, 14.940617688244764, 15.642648761674558, 16.37618677556625, 17.142532971107684, 17.943047751680716, 18.77915181262904, 19.65232723326965, 20.564118539970075, 21.516133740202708, 22.510045323449283, 23.547591223239444, 24.630575733936247, 25.760870381066464, 26.9404147532035, 28.171217319870546, 29.455356288957592, 30.694147451348613, 31.889017261198322, 33.04339819805196, 34.16024632071165, 35.24213081550695, 36.291302779729314, 37.309748871411244, 38.299233729888066, 39.26133392984393, 40.19746545948092, 41.10890618075293, 41.99681435534504, 42.86224405277673, 43.70615806322013, 44.52943879519988, 45.33289753234799, 46.11728234358341, 46.883284880362055, 47.63154624796878, 48.36266210162524, 49.077187089866456, 49.775638745303496, 50.45850090514183, 51.126226729627916, 51.77924137515127, 52.41794436945967, 53.04271172888567, 53.65389785128373, 54.25183721326065, 54.83684589606133, 55.40922296093787, 55.969251691886605, 56.51720072117356, 57.05332505096453, 57.577866982633005, 58.091056963796184, 58.59311436187039, 59.08424817183351, 59.56465766493519, 60.03453298430832, 60.494055692709104, 60.943399277037166, 61.38272961373198, 61.81220539870893, 62.2319785450821, 62.642194551584076, 63.04299284427057, 63.43450709384088, 63.81686551066166, 64.1901911193739, 64.55460201476896, 64.91021160046371, 65.25712881175698, 65.59545832391446, 65.92530074700872, 66.24675280835285, 66.55990752345564, 66.86485435635082, 67.16167937008062, 67.45046536803314, 67.73129202679455, 68.00423602109576, 68.26937114140696, 68.52676840466947, 68.77649615863025, 69.01862018019239, 69.25320376817663, 69.4803078308412, 69.69999096849482, 69.91230955150256, 70.11731779396871, 70.3150678233487, 70.50560974623308, 70.68899171052698, 70.86525996422569, 71.034458910974, 71.19663116259701, 71.35181758875301, 71.50005736386476, 71.64138801147168, 71.77584544612849, 71.90346401297953, 72.02427652511331, 72.13831429880558, 72.24560718674684, 72.34618360935049, 72.44007058421295, 72.52729375381413, 72.60787741153264, 72.68184452602439, 72.7492167640536, 72.81001451180725, 72.86425689476202, 72.91196179615154, 72.95314587406588, 72.98782457724123, 73.01601215956512]}],\n",
       "                        {\"autosize\": true, \"shapes\": [{\"fillcolor\": \"#ffcc00\", \"line\": {\"width\": 0}, \"type\": \"circle\", \"x0\": -0.327550338139196, \"x1\": 0.327550338139196, \"xref\": \"x\", \"y0\": -0.327550338139196, \"y1\": 0.327550338139196, \"yref\": \"y\"}], \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"xaxis\": {\"constrain\": \"domain\", \"title\": {\"text\": \"x (m)\"}}, \"yaxis\": {\"scaleanchor\": \"x\", \"title\": {\"text\": \"y (m)\"}}},\n",
       "                        {\"responsive\": true}\n",
       "                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('00eacba6-ab50-40ce-ac19-cf029be1ad9a');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })\n",
       "                };\n",
       "                });\n",
       "            </script>\n",
       "        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "sph_obj1 = SphericalDifferential(90*u.m, 0.5*np.pi/2*u.rad, -np.pi/8*u.rad,\n",
    "                                0*u.m/u.s, 1000*u.rad/u.s, 1900*u.rad/u.s)\n",
    "Attractor1 = Body(name=\"BH\", mass=6e24 * u.kg, parent=None, R=500*u.m, differential=sph_obj1)\n",
    "\n",
    "Attractor = Body(name=\"BH\", mass=6e24 * u.kg, parent=Attractor1)\n",
    "sph_obj = SphericalDifferential(90*u.m, np.pi/2*u.rad, -np.pi/8*u.rad,\n",
    "                                0*u.m/u.s, 1000*u.rad/u.s, 1900*u.rad/u.s)\n",
    "\n",
    "Object = Body(differential=sph_obj, parent=Attractor)\n",
    "geodesic = Geodesic(body=Object, time=0 * u.s, end_lambda=0.002, step_size=5e-8)\n",
    "\n",
    "obj = GeodesicPlotter()\n",
    "obj.plot(geodesic)\n",
    "obj.show()"
   ]
  }
 ],
 "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": "3.7.3"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}