{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing Precession in Schwarzschild Spacetime\n",
    "\n",
    "### Importing required modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "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": {}
    }
   ],
   "source": [
    "import astropy.units as u\n",
    "import numpy as np\n",
    "from plotly.offline import init_notebook_mode\n",
    "\n",
    "# from einsteinpy.coordinates.utils import four_position, stacked_vec\n",
    "from einsteinpy.coordinates import SphericalDifferential\n",
    "from einsteinpy.geodesic import Timelike\n",
    "from einsteinpy.metric import Schwarzschild\n",
    "from einsteinpy.plotting import GeodesicPlotter\n",
    "\n",
    "# Essential when using Jupyter Notebook (May skip in Jupyter Lab)\n",
    "init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Defining Schwarzschild Metric and Initial Conditions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Mass of the black hole in SI\n",
    "M = 6e24 * u.kg\n",
    "\n",
    "# Defining the initial coordinates of the test particle\n",
    "# in SI\n",
    "sph = SphericalDifferential(\n",
    "    t=10000.0 * u.s,\n",
    "    r=130.0 * u.m,\n",
    "    theta=np.pi / 2 * u.rad,\n",
    "    phi=-np.pi / 8 * u.rad,\n",
    "    v_r=0.0 * u.m / u.s,\n",
    "    v_th=0.0 * u.rad / u.s,\n",
    "    v_p=1900.0 * u.rad / u.s,\n",
    ")\n",
    "\n",
    "# Schwarzschild Metric Object\n",
    "ms = Schwarzschild(coords=sph, M=M)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculating Geodesic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Geodesic Object:\n            Type = (Time-like)\n            Metric = ((\n            Name: (Schwarzschild Metric),\n            Coordinates: (Spherical Polar Coordinates: \n            t = (10000.0 s), r = (130.0 m), theta = (1.5707963267948966 rad), phi = (-0.39269908169872414 rad)\n            v_t: 1.0000346157679914 m / s, v_r: 0.0 m / s, v_th: 0.0 rad / s, v_p: 1900.0 rad / s),\n            Mass: (6e+24 kg),\n            Spin parameter: (0.0),\n            Charge: (0.0 C),\n            Schwarzschild Radius: (0.008911392322942397)\n)),\n            Initial State = ([ 2.99792458e+12  1.30000000e+02  1.57079633e+00 -3.92699082e-01\n  1.00003462e+00  0.00000000e+00  0.00000000e+00  1.90000000e+03]),\n            Trajectory = ([[ 2.99792458e+12  1.20104339e+02 -4.97488462e+01 ...  9.45228078e+04\n   2.28198245e+05  0.00000000e+00]\n [ 2.99792458e+12  1.20108103e+02 -4.97397110e+01 ...  9.36471118e+04\n   2.28560931e+05 -5.80379473e-14]\n [ 2.99792458e+12  1.20143810e+02 -4.96475618e+01 ...  8.48885265e+04\n   2.32184177e+05 -6.38424865e-13]\n ...\n [ 2.99792458e+12  1.29695466e+02 -6.52793459e-01 ...  1.20900076e+05\n   2.46971585e+05 -1.86135457e-10]\n [ 2.99792458e+12  1.29741922e+02 -5.53995726e-01 ...  1.11380963e+05\n   2.47015864e+05 -1.74024168e-10]\n [ 2.99792458e+12  1.29784572e+02 -4.55181739e-01 ...  1.01868292e+05\n   2.47052855e+05 -1.61922169e-10]])"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "# Calculating Geodesic\n",
    "geod = Timelike(metric=ms, coords=sph, end_lambda=0.002, step_size=5e-8)\n",
    "geod"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting the geodesic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "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": "#ad427c",
          "line": {
           "width": 2
          },
          "size": 5
         },
         "mode": "lines",
         "name": "geodesic",
         "type": "scatter",
         "x": [
          120.10433922646727,
          120.10810262495168,
          120.14380985441778,
          120.17601300585854,
          120.20471065901762,
          120.2299011947254,
          120.25158279448635,
          120.2697534400039,
          120.28441091264266,
          120.29555279282742,
          120.30317645937885,
          120.30727908878475,
          120.30785765440747,
          120.30490892562558,
          120.29842946691025,
          120.2884156368352,
          120.27486358701941,
          120.2577692610022,
          120.23712839304947,
          120.21293650689043,
          120.18518891438372,
          120.1538807141122,
          120.11900678990499,
          120.08056180928587,
          120.03854022184689,
          119.99293625754568,
          119.94374392492558,
          119.89095700925664,
          119.83456907059653,
          119.77457344176968,
          119.71096322626289,
          119.64373129603601,
          119.57287028924567,
          119.49837260788038,
          119.42023041530514,
          119.33843563371327,
          119.2529799414837,
          119.16385477044129,
          119.071051303018,
          118.9745604693124,
          118.87437294404523,
          118.77047914340818,
          118.66286922180322,
          118.55153306846985,
          118.43646030399691,
          118.31764027671628,
          118.19506205897495,
          118.06871444328225,
          117.93858593832861,
          117.80466476487241,
          117.6669388514908,
          117.52539583019079,
          117.38002303187635,
          117.23080748166716,
          117.07773589406453,
          116.92079466795987,
          116.7599698814805,
          116.59524728666825,
          116.42661230398477,
          116.2540500166386,
          116.07754516472782,
          115.8970821391923,
          115.71264497556923,
          115.52421734754523,
          115.33178256029818,
          115.13532354362151,
          114.9348228448233,
          114.73026262139257,
          114.521624633424,
          114.30889023579304,
          114.09204037007181,
          113.87105555617681,
          113.64591588373816,
          113.41660100318026,
          113.18309011650302,
          112.94536196775215,
          112.70339483316664,
          112.45716651099126,
          112.20665431094048,
          111.95183504330072,
          111.69268500765595,
          111.42917998122206,
          111.16129520677393,
          110.88900538014853,
          110.61228463730683,
          110.33110654093588,
          110.04544406657209,
          109.75526958822519,
          109.46055486348175,
          109.16127101806559,
          108.8573885298318,
          108.54887721216912,
          108.23570619678479,
          107.91784391584409,
          107.59525808343545,
          107.26791567633063,
          106.93578291400705,
          106.59882523789875,
          106.25700728983917,
          105.91029288965784,
          105.55864501189082,
          105.20202576156147,
          104.84039634898703,
          104.47371706356276,
          104.10194724647279,
          103.72504526227429,
          103.3429684692975,
          102.95567318880121,
          102.56311467281965,
          102.16524707063203,
          101.76202339378263,
          101.35339547957383,
          100.93931395295019,
          100.51972818668592,
          100.09458625978255,
          99.66383491397728,
          99.22741950825609,
          98.78528397125815,
          98.33737075145065,
          97.8836207649445,
          97.42397334081262,
          96.95836616376235,
          96.48673521400333,
          96.0090147041404,
          95.52513701290854,
          95.03503261555389,
          94.53863001064919,
          94.03585564311706,
          93.5266338232163,
          93.01088664122766,
          92.48853387755484,
          91.95949290793388,
          91.42367860341909,
          90.88100322478651,
          90.33137631096689,
          89.77470456108627,
          89.21089170965772,
          88.63983839442758,
          88.0614420163363,
          87.47559659100631,
          86.88219259111627,
          86.28111677896281,
          85.67225202844588,
          85.05547713564243,
          84.43066661705312,
          83.79769049451845,
          83.15641406570158,
          82.50669765892548,
          81.84839637102833,
          81.1813597867639,
          80.50543167811853,
          79.82044968174273,
          79.12624495250053,
          78.42264179091809,
          77.70945724206474,
          76.986500663117,
          76.25357325653574,
          75.5104675654223,
          74.75696692720356,
          73.99284488132159,
          73.2178645260589,
          72.43177781900548,
          71.63432481495356,
          70.82523283417541,
          70.00421555307504,
          69.17097200808651,
          68.32518550238687,
          67.46652240346658,
          66.59463081781065,
          65.7091391268363,
          64.8096543657424,
          63.895760423969854,
          62.96701604245137,
          62.02295257861431,
          61.06307150503611,
          60.086841601533784,
          59.093695793044134,
          58.08302757659087,
          57.05418696951732,
          56.0064758974414,
          54.93914292334665,
          53.85137719791464,
          52.74230148437515,
          51.61096407711509,
          50.45632938976406,
          49.27726693233855,
          48.07253832395596,
          46.84078189156926,
          45.580494277539884,
          44.29000830731615,
          42.96746613500757,
          41.61078636253246,
          40.21762337695797,
          38.78531650862968,
          37.310825682244776,
          35.79064885738552,
          34.2962273632405,
          32.89697498529779,
          31.729686070631832,
          30.531112216134428,
          29.54297589571407,
          28.64507337850972,
          27.847904642048313,
          27.177876845175774,
          26.496588884163806,
          25.79299271674206,
          25.019523728970583,
          24.20033809085094,
          23.352448175214537,
          22.487925183972653,
          21.615826332691004,
          20.74319376066799,
          19.87561751920645,
          19.017582314537748,
          18.172697314856435,
          17.343858173724175,
          16.533367479518994,
          15.743028412215578,
          14.974220300171856,
          14.227961354973939,
          13.504961876186483,
          12.805670034834383,
          12.130311629941096,
          11.478924779159888,
          10.85139024069083,
          10.247457902959379,
          9.666769878589514,
          9.108880575317777,
          8.573274072478428,
          8.059379098547907,
          7.56658187714528,
          7.094237083761677,
          6.6416771307638856,
          6.208219973785576,
          5.793175607671621,
          5.39585139424971,
          5.015556336781008,
          4.651604385660608,
          4.30331682585367,
          3.970023755768834,
          3.6510646168539957,
          3.3457876683284224,
          3.053548214635729,
          2.773705273875218,
          2.505616207306672,
          2.2486285907567307,
          2.002068276614034,
          1.765222193336808,
          1.5373142408627531,
          1.3174741870693667,
          1.1047100620361812,
          0.8979492609592336,
          0.696473619834348,
          0.5019262667315618,
          0.34462409927340953,
          0.20414873042108514,
          0.077570898093207,
          -0.04923953277536032,
          -0.16427693843683397,
          -0.26854201730378413,
          -0.36390245230558727,
          -0.45181059659168854,
          -0.5333860130516005,
          -0.6095251345978883,
          -0.6809769925659331,
          -0.748400775360522,
          -0.8124215548040621,
          -0.8737074877583806,
          -0.9331285518465344,
          -0.9922356863327412,
          -1.0552833177218968,
          -1.0975979049716924,
          -1.1327600646824028,
          -1.162355335736126,
          -1.1869632020804983,
          -1.2059660784307074,
          -1.224001053866353,
          -1.2430134793744734,
          -1.2632054030223476,
          -1.2836428065613188,
          -1.3037909401953494,
          -1.3233171833136108,
          -1.3420536603170745,
          -1.3600344630341754,
          -1.3716365091839138,
          -1.3791780000873297,
          -1.3828377661563453,
          -1.3831583008333055,
          -1.3803285895472988,
          -1.374376688934864,
          -1.3652351640413918,
          -1.3527624255472313,
          -1.336747762211949,
          -1.3169073712600512,
          -1.2928731052666076,
          -1.264173267081068,
          -1.2302032210081009,
          -1.190182826174168,
          -1.1431012214043306,
          -1.0876752824188944,
          -1.0224698289717518,
          -0.9466632929503946,
          -0.8614511423988189,
          -0.7690719591518921,
          -0.670422971881646,
          -0.5653572198783214,
          -0.45343454072945805,
          -0.3341634129796667,
          -0.2070500042066281,
          -0.07160326214405033,
          0.07266862572693124,
          0.2262627814719795,
          0.3896857540182029,
          0.5634571108418575,
          0.7481126474251534,
          0.944207349004209,
          1.1523181919984749,
          1.3730468335182409,
          1.6070222137192787,
          1.8549030841943266,
          2.1173804721828384,
          2.395180091131154,
          2.689064710405082,
          2.9998364997037554,
          3.328339365400219,
          3.675461297087969,
          4.042136742513394,
          4.4293490284968815,
          4.838132844408197,
          5.269576803179275,
          5.724826093761776,
          6.205085237422978,
          6.711620958916025,
          7.245765183000802,
          7.808918165312271,
          8.402551766507784,
          9.028212877435488,
          9.687527003357705,
          10.382202014332176,
          11.114032069136645,
          11.884901719565057,
          12.69679020244805,
          13.551775926014528,
          14.452041157774214,
          15.399876921132488,
          16.397688108109687,
          17.44799881528224,
          18.553457911665483,
          19.71684484667083,
          20.941075707764647,
          22.229209538655432,
          23.584454930874205,
          25.010176905261098,
          26.50714195244746,
          27.96278931591659,
          29.380354748432616,
          30.76262851933966,
          32.11203894572632,
          33.43071656421623,
          34.720544195984814,
          35.98319654548349,
          37.22017190794763,
          38.43281784065622,
          39.62235215627686,
          40.78988024782916,
          41.93640950575616,
          43.062861407085286,
          44.17008172401838,
          45.258849200586106,
          46.3298829716926,
          47.3838489423309,
          48.42136530128921,
          49.44300730995636,
          50.44931148045728,
          51.44077923654385,
          52.41788013413182,
          53.38105470514128,
          54.33071697763474,
          55.26725671660274,
          56.19104142269529,
          57.10241812041579,
          58.00171496252487,
          58.88924267345217,
          59.7652958512232,
          60.63015414465792,
          61.484083320286246,
          62.3273362314765,
          63.16015370062228,
          63.98276532383022,
          64.79539020635438,
          65.5982376359995,
          66.39150770083484,
          67.17539185680383,
          67.9500734501591,
          68.7157281990863,
          69.47252463838657,
          70.22062453065853,
          70.96018324704508,
          71.69135012028269,
          72.41426877250134,
          73.1290774199711,
          73.83590915676616,
          74.53489221912068,
          75.22615023207513,
          75.90980243985653,
          76.58596392129859,
          77.25474579148351,
          77.9162553906792,
          78.57059646154579,
          79.2178693154989,
          79.85817098903743,
          80.49159539077351,
          81.11823343983804,
          81.73817319627814,
          82.35149998401126,
          82.95829650685337,
          83.55864295809658,
          84.15261712407332,
          84.74029448210891,
          85.32174829323341,
          85.89704968999384,
          86.46626775968258,
          87.02946962327341,
          87.5867205103347,
          88.13808383016938,
          88.6836212394135,
          89.22339270630745,
          89.75745657183982,
          90.2858696079485,
          90.80868707295174,
          91.32596276436952,
          91.83774906928433,
          92.34409701238111,
          92.84505630179584,
          93.34067537289465,
          93.83100143009666,
          94.31608048684654,
          94.79595740383607,
          95.2706759255682,
          95.74027871534965,
          96.20480738879512,
          96.6643025459185,
          97.11880380188384,
          97.56834981648369,
          98.01297832240786,
          98.45272615236316,
          98.8876292650997,
          99.31772277039751,
          99.7430409530625,
          100.16361729598012,
          100.57948450226989,
          100.99067451658362,
          101.39721854558663,
          101.79914707765927,
          102.19648990185443,
          102.58927612614424,
          102.97753419498783,
          103.36129190624975,
          103.740576427498,
          104.11541431170821,
          104.48583151239934,
          104.85185339822544,
          105.21350476704623,
          105.5708098594983,
          105.92379237208749,
          106.27247546982234,
          106.61688179840716,
          106.9570334960122,
          107.2929522046384,
          107.62465908109215,
          107.95217480758582,
          108.27551960197816,
          108.59471322766898,
          108.9097750031607,
          109.2207238112999,
          109.52757810821042,
          109.83035593192974,
          110.12907491075956,
          110.42375227134052,
          110.71440484646189,
          111.0010490826147,
          111.28370104729807,
          111.56237643608718,
          111.83709057947121,
          112.1078584494688,
          112.37469466602913,
          112.63761350322554,
          112.89662889524855,
          113.15175444220507,
          113.40300341572978,
          113.65038876441531,
          113.89392311906639,
          114.13361879778398,
          114.36948781088438,
          114.60154186565832,
          114.82979237097547,
          115.05425044173829,
          115.27492690319029,
          115.4918322950824,
          115.7049768757021,
          115.91437062576875,
          116.12002325219937,
          116.32194419174796,
          116.52014261452204,
          116.71462742737992,
          116.90540727721142,
          117.0924905541055,
          117.27588539440713,
          117.45559968366715,
          117.63164105948654,
          117.80401691425878,
          117.97273439781183,
          118.13780041995273,
          118.29922165291684,
          118.45700453372336,
          118.61115526644026,
          118.76167982435926,
          118.90858395208384,
          119.0518731675312,
          119.19155276385068,
          119.3276278112594,
          119.46010315879725,
          119.58898343600251,
          119.71427305450945,
          119.8359762095693,
          119.95409688149577,
          120.06863883703626,
          120.1796056306702,
          120.28700060583506,
          120.3908268960814,
          120.49108742615793,
          120.587784913027,
          120.68092186681201,
          120.770500591677,
          120.85652318663922,
          120.93899154631548,
          121.01790736160285,
          121.09327212029416,
          121.16508710762888,
          121.23335340677971,
          121.29807189927563,
          121.35924326536116,
          121.41686798429285,
          121.4709463345727,
          121.52147839411884,
          121.56846404037378,
          121.61190295035051,
          121.65179460061577,
          121.68813826721137,
          121.7209330255131,
          121.75017775002733,
          121.77587111412466,
          121.79801158971141,
          121.8165974468379,
          121.83162675324353,
          121.84309737383859,
          121.85100697012189,
          121.85535299953452,
          121.85613271474855,
          121.85334316289082,
          121.84698118470065,
          121.83704341362149,
          121.82352627482521,
          121.806425984169,
          121.78573854708328,
          121.76145975739085,
          121.7335851960553,
          121.70211022985852,
          121.66703001000606,
          121.62833947065928,
          121.58603332739305,
          121.54010607557812,
          121.49055198868675,
          121.43736511652016,
          121.38053928335673,
          121.32006808601908,
          121.25594489185909,
          121.18816283665863,
          121.11671482244479,
          121.04159351521766,
          120.96279134258886,
          120.8803004913288,
          120.79411290482092,
          120.70422028042071,
          120.61061406671683,
          120.51328546069303,
          120.41222540478743,
          120.30742458384755,
          120.19887342197765,
          120.08656207927648,
          119.97048044846184,
          119.85061815137972,
          119.72696453539409,
          119.59950866965508,
          119.46823934124123,
          119.333145051173,
          119.19421401029366,
          119.05143413501357,
          118.90479304291404,
          118.75427804820676,
          118.59987615704408,
          118.44157406267597,
          118.27935814044884,
          118.11321444264122,
          117.94312869313127,
          117.76908628189081,
          117.59107225929998,
          117.40907133027724,
          117.22306784821811,
          117.0330458087365,
          116.83898884320209,
          116.64088021206653,
          116.43870279797171,
          116.23243909863196,
          116.02207121948248,
          115.8075808660862,
          115.58894933628949,
          115.36615751211856,
          115.13918585140652,
          114.90801437914139,
          114.67262267852486,
          114.43298988173065,
          114.18909466035126,
          113.94091521552109,
          113.68842926770381,
          113.43161404613038,
          113.17044627787436,
          112.90490217655002,
          112.63495743061827,
          112.36058719128425,
          112.08176605997048,
          111.79846807534751,
          111.51066669990419,
          111.21833480603809,
          110.92144466164576,
          110.61996791519144,
          110.31387558023214,
          110.00313801937492,
          109.68772492764204,
          109.36760531521732,
          109.04274748954636,
          108.71311903676146,
          108.37868680240035,
          108.03941687138663,
          107.69527454723735,
          107.34622433046178,
          106.9922298961131,
          106.63325407045274,
          106.26925880668428,
          105.9002051597122,
          105.52605325987734,
          105.146762285618,
          104.7622904350036,
          104.37259489608364,
          103.97763181599082,
          103.57735626873524,
          103.17172222162026,
          102.7606825002085,
          102.34418875176013,
          101.9221914070615,
          101.49463964055711,
          101.06148132869112,
          100.62266300635962,
          100.1781298213673,
          99.72782548677577,
          99.27169223102233,
          98.80967074568004,
          98.34170013072112,
          97.86771783713526,
          97.38765960674445,
          96.90145940904436,
          96.40904937488952,
          95.91035972682657,
          95.4053187058647,
          94.89385249445675,
          94.37588513544708,
          93.8513384467228,
          93.32013193128559,
          92.78218268243684,
          92.2374052837463,
          91.68571170344549,
          91.12701118285901,
          90.56121011845329,
          89.98821193704754,
          89.40791696369168,
          88.82022228167325,
          88.22502158406763,
          87.62220501619312,
          87.01165900827428,
          86.39326609755284,
          85.76690473901363,
          85.13244910381422,
          84.48976886441841,
          83.83872896533559,
          83.17918937825885,
          82.5110048402718,
          81.83402457365725,
          81.14809198568764,
          80.45304434660376,
          79.74871244379484,
          79.03492020997345,
          78.31148432289154,
          77.57821377386324,
          76.8349094020424,
          76.08136339104071,
          75.3173587240603,
          74.54266859324292,
          73.75705575839883,
          72.96027184965783,
          72.15205660787171,
          71.33213705577273,
          70.50022659193819,
          69.65602399850268,
          68.79921235226726,
          67.92945782734448,
          67.04640837570693,
          66.14969226992064,
          65.23891648988113,
          64.31366493244572,
          63.37349641937481,
          62.41794247482915,
          61.44650483866598,
          60.458652675735074,
          59.45381943404476,
          58.43139929572671,
          57.39074315376173,
          56.33115403389884,
          55.2518818644041,
          54.152117475286495,
          53.03098568223564,
          51.88753727701794,
          50.72073970328,
          49.529466141543935,
          48.31248265542084,
          47.06843295680465,
          45.79582022265743,
          44.49298522792696,
          43.15807983060196,
          41.78903452992533,
          40.38351837817764,
          38.93888890002522,
          37.45212876675354,
          35.91976463409588,
          34.337761531836236,
          32.70138306686853,
          31.005002725858127,
          29.27408254163694,
          27.626608792344822,
          26.064403186841048,
          24.583407918448316,
          23.1794522674673,
          21.848548744776107,
          20.58690205029326,
          19.390902737107783,
          18.25711996914744,
          17.1822942149925,
          16.163329988644858,
          15.197288694475933,
          14.281381617878887,
          13.412963092612236,
          12.589523867475922,
          11.808684688338861,
          11.068190105353361,
          10.365902510874246,
          9.699796409623954,
          9.067952918289992,
          8.468554488649398,
          7.899879843779717,
          7.3602991130656195,
          6.848269145643569,
          6.362328975888699,
          5.901095405548606,
          5.4632586566689305,
          5.047578035391301,
          4.652877529491744,
          4.278041240628556,
          3.9220085255364823,
          3.5837686869963723,
          3.262355014271147,
          2.9568379189327096,
          2.666316838758094,
          2.3899104761505137,
          2.12674477754553,
          1.8759378320087212,
          1.6365806210135776,
          1.4077126841316898,
          1.1882942149375733,
          0.9771897330517254,
          0.7732439381962446,
          0.5758145721804067,
          0.38694096507609615,
          0.23609068671668879,
          0.10139062309026244,
          -0.019944822542417393,
          -0.14121041012746535,
          -0.2511136028381429,
          -0.3506385144091844,
          -0.44156611137311036,
          -0.5252850831959514,
          -0.6028696403803468,
          -0.6751821823122122,
          -0.7429455370340056,
          -0.8067996879785213,
          -0.8673598873356175,
          -0.9253039749926852,
          -0.9815697429464013,
          -1.0380225535497152,
          -1.0871918238975515,
          -1.1257070643416125,
          -1.1575984236651142,
          -1.1842872276713314,
          -1.206234479534271,
          -1.223071785009255,
          -1.2385310986760125,
          -1.2558890726570582,
          -1.274048229940183,
          -1.2921603642274957,
          -1.3097057184807877,
          -1.3263175537850986,
          -1.3417180238563429,
          -1.3555627008078965,
          -1.3631229244466405,
          -1.3667283136205162,
          -1.3666775728447462,
          -1.3633623341894532,
          -1.356898629322699,
          -1.347270886554266,
          -1.334378520483221,
          -1.3180504945339626,
          -1.298046935753232,
          -1.2740527991706265,
          -1.245664434474771,
          -1.212367911331419,
          -1.1735065577267432,
          -1.1282348011359182,
          -1.0754609063664144,
          -1.0138160830747414,
          -0.941841871015472,
          -0.8589422632174191,
          -0.7667364890235312,
          -0.667508179704783,
          -0.5619899102282947,
          -0.4499455402617967,
          -0.3308919212562002,
          -0.2043096718792004,
          -0.06968317559243152,
          0.07349712590488945,
          0.22573943424930498,
          0.3875557917667523,
          0.5594666449307942,
          0.7420047830439832,
          0.9357188345280363,
          1.1411764717430775,
          1.358967418766012,
          1.5897063143260217,
          1.8340354573724575,
          2.092627451369931,
          2.3661877605595616,
          2.655457192252219,
          2.9612143219760103,
          3.2842778805191934,
          3.6255091235902426,
          3.985814205039144,
          4.366146574119751,
          4.767509416352998,
          5.190958155497933,
          5.63760303287453,
          6.108611778364488,
          6.605212385653409,
          7.128696003155619,
          7.680419951027313,
          8.261810872769363,
          8.874368030677797,
          9.519666752166268,
          10.199362034796511,
          10.915192316861233,
          11.668983419993793,
          12.462652670803491,
          13.298213207619881,
          14.177778478717348,
          15.103566938420684,
          16.077906947441946,
          17.103241883721438,
          18.182135470068935,
          19.317277326197246,
          20.511488751289544,
          21.767728746266734,
          23.089100283811923,
          24.478856837875025,
          25.94040918623319,
          27.455120912169004,
          28.927943654438277,
          30.362144989344532,
          31.760544720879082,
          33.125598447854266,
          34.459461851137895,
          35.76404090944994,
          37.04103166011914,
          38.291952066983754,
          39.5181678438137,
          40.72091358855066,
          41.90131023685096,
          43.060379595462,
          44.19905653602435,
          45.31819929752096,
          46.41859824698936,
          47.50098337380846,
          48.566030736279046,
          49.61436803568581,
          50.646579459236875,
          51.6632099068158,
          52.66476869559892,
          53.65173281998336,
          54.62454983097139,
          55.58364038843646,
          56.52940053099858,
          57.46220370114016,
          58.38240255737196,
          59.2903306004539,
          60.18630363669538,
          61.07062109804312,
          61.943567235889425,
          62.80541220320236,
          63.656413037612765,
          64.49681455642613,
          65.32685017311108,
          66.1467426436077,
          66.95670474976411,
          67.75693992632068,
          68.54764283709612,
          69.32899990536745,
          70.1011898028623,
          70.86438390128376,
          71.61874668985352,
          72.36443616197917,
          73.10160417381982,
          73.83039677723161,
          74.55095452931856,
          75.26341278058722,
          75.96790194350369,
          76.66454774307465,
          77.3534714509155,
          78.03479010413058,
          78.70861671020467,
          79.37506043899353,
          80.03422680280359,
          80.68621782545918,
          81.33113220117845,
          81.96906544400574,
          82.60011002848432,
          83.22435552219453,
          83.84188871073108,
          84.45279371564418,
          85.05715210582775,
          85.65504300279818,
          86.24654318027119,
          86.83172715841413,
          87.41066729311966,
          87.98343386062145,
          88.55009513774837,
          89.11071747809015,
          89.66536538432885,
          90.21410157697069,
          90.75698705969684,
          91.29408118153505,
          91.8254416960407,
          92.35112481766221,
          92.87118527545344,
          93.38567636428556,
          93.89464999369929,
          94.39815673452965,
          94.89624586342717,
          95.38896540538994,
          95.87636217441512,
          96.35848181237009,
          96.83536882617831,
          97.30706662340816,
          97.7736175463476,
          98.23506290464296,
          98.69144300657507,
          99.14279718904073,
          99.58916384630515,
          100.0305804575857,
          100.46708361352384,
          100.89870904159982,
          101.32549163054061,
          101.74746545376888,
          102.16466379193814,
          102.57711915459727,
          102.98486330102384,
          103.38792726026509,
          103.78634135042171,
          104.18013519720962,
          104.56933775183028,
          104.95397730818189,
          105.33408151943858,
          105.70967741402661,
          106.08079141102168,
          106.44744933499392,
          106.80967643032206,
          107.16749737500031,
          107.52093629395827,
          107.87001677191375,
          108.21476186577804,
          108.55519411663145,
          108.89133556128567,
          109.22320774345042,
          109.55083172451904,
          109.87422809398814,
          110.19341697952521,
          110.50841805669808,
          110.81925055837843,
          111.12593328383213,
          111.42848460750733,
          111.72692248753215,
          112.02126447393212,
          112.31152771657766,
          112.59772897287083,
          112.87988461518127,
          113.15801063803961,
          113.43212266509701,
          113.70223595585844,
          113.96836541219821,
          114.23052558466405,
          114.48873067857774,
          114.7429945599385,
          114.99333076113531,
          115.23975248647506,
          115.48227261753193,
          115.72090371832338,
          115.95565804031901,
          116.18654752728645,
          116.41358381997998,
          116.63677826067621,
          116.8561418975615,
          117.07168548897565,
          117.28341950751536,
          117.4913541440026,
          117.69549931132028,
          117.89586464812014,
          118.09245952240568,
          118.28529303499376,
          118.4743740228578,
          118.659711062356,
          118.84131247234728,
          119.01918631719813,
          119.1933404096824,
          119.36378231377749,
          119.53051934735858,
          119.6935585847939,
          119.85290685944301,
          120.00857076606037,
          120.16055666310615,
          120.3088706749662,
          120.4535186940837,
          120.59450638300333,
          120.73183917633034,
          120.86552228260584,
          120.99556068610048,
          121.12195914852704,
          121.24472221067397,
          121.36385419396126,
          121.47935920191983,
          121.5912411215953,
          121.69950362487766,
          121.80415016975813,
          121.90518400151326,
          122.00260815381881,
          122.09642544979242,
          122.18663850296761,
          122.27324971819877,
          122.35626129249839,
          122.43567521580698,
          122.51149327169651,
          122.58371703800766,
          122.65234788742175,
          122.71738698796743,
          122.77883530346278,
          122.83669359389305,
          122.89096241572467,
          122.94164212215534,
          122.98873286330057,
          123.03223458631736,
          123.07214703546397,
          123.10846975209729,
          123.1412020746065,
          123.17034313828421,
          123.19589187513397,
          123.21784701361452,
          123.23620707832096,
          123.25097038960185,
          123.26213506311242,
          123.2696990093039,
          123.27365993284786,
          123.2740153319956,
          123.27076249787252,
          123.26389851370581,
          123.25342025398639,
          123.23932438356323,
          123.22160735666996,
          123.20026541588324,
          123.17529459101148,
          123.14669069791393,
          123.11444933724826,
          123.07856589314696,
          123.0390355318199,
          122.995853200084,
          122.94901362381673,
          122.89851130633438,
          122.84434052669185,
          122.78649533790433,
          122.72496956508856,
          122.65975680352209,
          122.59085041661984,
          122.51824353382555,
          122.44192904841667,
          122.36189961522129,
          122.27814764824458,
          122.1906653182035,
          122.09944454996732,
          122.00447701990197,
          121.9057541531159,
          121.80326712060543,
          121.69700683629688,
          121.58696395398297,
          121.47312886415119,
          121.35549169070096,
          121.23404228754703,
          121.10877023510605,
          120.97966483666295,
          120.8467151146144,
          120.70990980658551,
          120.56923736141646,
          120.4246859350149,
          120.27624338607136,
          120.12389727163247,
          119.96763484252826,
          119.80744303864951,
          119.64330848407019,
          119.47521748201008,
          119.30315600963331,
          119.1271097126769,
          118.9470638999043,
          118.7630035373782,
          118.57491324254683,
          118.3827772781375,
          118.18657954585073,
          117.98630357984895,
          117.781932540032,
          117.57344920509271,
          117.36083596534456,
          117.14407481531383,
          116.92314734608695,
          116.69803473740612,
          116.46871774950179,
          116.2351767146546,
          115.9973915284752,
          115.75534164089237,
          115.50900604683807,
          115.25836327661854,
          115.00339138595837,
          114.74406794570608,
          114.48037003118742,
          114.21227421119252,
          113.93975653658269,
          113.66279252850129,
          113.38135716617313,
          113.09542487427508,
          112.8049695098606,
          112.50996434881982,
          112.21038207185524,
          111.9061947499529,
          111.5973738293275,
          111.28389011581874,
          110.96571375871498,
          110.64281423397918,
          110.31516032685069,
          109.98272011379494,
          109.64546094377161,
          109.30334941879046,
          108.95635137372179,
          108.60443185532716,
          108.24755510047383,
          107.88568451349431,
          107.51878264265031,
          107.14681115565789,
          106.76973081422797,
          106.38750144757432,
          106.00008192483709,
          105.60743012636833,
          105.2095029138214,
          104.80625609898316,
          104.39764441128446,
          103.9836214639196,
          103.56413971850142,
          103.13915044817452,
          102.70860369910334,
          102.27244825024667,
          101.83063157132479,
          101.38309977887859,
          100.92979759031375,
          100.47066827581553,
          100.00565360801214,
          99.53469380925591,
          99.05772749638264,
          98.57469162279948,
          98.08552141774086,
          97.59015032252077,
          97.08850992359658,
          96.58052988224661,
          96.06613786064788,
          95.54525944412518,
          95.01781805932461,
          94.48373488804573,
          93.94292877644497,
          93.39531613930103,
          92.8408108590071,
          92.27932417892825,
          91.71076459073112,
          91.13503771526166,
          90.55204617650898,
          89.961689468155,
          89.36386381216451,
          88.75846200882283,
          88.14537327757482,
          87.52448308795931,
          86.89567297986896,
          86.25882037229151,
          85.61379835960983,
          84.96047549444704,
          84.29871555594451,
          83.62837730224852,
          82.94931420585817,
          82.26137417034641,
          81.56439922681197,
          80.85822520824284,
          80.14268139977588,
          79.41759016261388,
          78.68276652910981,
          77.93801776624335,
          77.18314290439083,
          76.41793222792225,
          75.6421667237391,
          74.85561748338698,
          74.05804505382844,
          73.24919873132862,
          72.4288157921807,
          71.59662065315725,
          70.7523239536007,
          69.89562154993584,
          69.02619341206893,
          68.14370240959676,
          67.24779297394049,
          66.33808962038918,
          65.41419531151882,
          64.47568964046575,
          63.52212680897112,
          62.55303337085152,
          61.56790570642684,
          60.566207187246555,
          59.547364982941275,
          58.51076645285421,
          57.45575505385035,
          56.38162568180307,
          55.287619346990816,
          54.17291706204108,
          53.0366327938587,
          51.87780529645594,
          50.69538859744081,
          49.48824085393489,
          48.25511121947832,
          46.99462426586229,
          45.705261374047744,
          44.38533833377298,
          43.03297815370656,
          41.64607775572443,
          40.22226676677112,
          38.758855966160944,
          37.25277199492914,
          35.70047352557331,
          34.09784195830012,
          32.44003639905654,
          30.721297384765315,
          28.99033554346014,
          27.34443931270198,
          25.78429350192013,
          24.305734572115487,
          22.904544951800258,
          21.576697573167174,
          20.318361671571278,
          19.12589589736131,
          17.995840705980573,
          16.924910734489075,
          15.909987262651411,
          14.948110810099436,
          14.03647390702253,
          13.172414065890838,
          12.353406973793598,
          11.577059918612408,
          10.841105457068053,
          10.143395327935245,
          9.481894610218708,
          8.854676122142658,
          8.259915053415705,
          7.695883818993307,
          7.160947118425024,
          6.6535571791562,
          6.172249155527542,
          5.715636646204422,
          5.282407281900779,
          4.871318320991269,
          4.481192172900727,
          4.110911747049478,
          3.7594154982256134,
          3.4256920059551836,
          3.1087738845892856,
          2.8077307676765177,
          2.521661037485969,
          2.249681864128953,
          1.990916959304469,
          1.7444812269184091,
          1.5094612867111195,
          1.2848911710628144,
          1.0697257940468272,
          0.8628321727679857,
          0.6631005283442605,
          0.4701154538846971,
          0.3051394788441211,
          0.1583049736958905,
          0.02741367891974173,
          -0.09038959770278344,
          -0.20790693922953354,
          -0.3142778641523411,
          -0.41047877718656833,
          -0.4982376407631891,
          -0.5789018383771817,
          -0.6535141263256128,
          -0.7229112315756216,
          -0.7877932386128705,
          -0.8487781035076817,
          -0.906457587632495,
          -0.9614818912253591,
          -1.0147538890329224,
          -1.0681016535361063,
          -1.1132569777820323,
          -1.1486891733296452,
          -1.1778776242174527,
          -1.202137332708107,
          -1.2219032150181688,
          -1.2373543726140739,
          -1.2509387666704144,
          -1.2665209198946736,
          -1.2825761057988636,
          -1.2983150961942818,
          -1.3132203270211114,
          -1.3268795304350012,
          -1.3388827946368602,
          -1.3484709617435051,
          -1.3523755221639935,
          -1.351842151077265,
          -1.3478645114921812,
          -1.340693299685186,
          -1.330369999849987,
          -1.3168326908032846,
          -1.2999445611527416,
          -1.2795016983602452,
          -1.2552310793857018,
          -1.2267815602437826,
          -1.1937078248124156,
          -1.1554456135517883,
          -1.111275330487908,
          -1.0602714051702198,
          -1.0012436273117686,
          -0.9327268259210413,
          -0.853280871601284,
          -0.7627014434477132,
          -0.6631323504255981,
          -0.5567759908644714,
          -0.44412121529602727,
          -0.3248263572882499,
          -0.19836456255753027,
          -0.06419090882201,
          0.0782294900071002,
          0.22942262471793526,
          0.3899115572443348,
          0.5602222426111076,
          0.7408884865424098,
          0.932456172300848,
          1.1354869824979101,
          1.3505617843451192,
          1.5782837817209114,
          1.8192814923345946,
          2.0742115824892022,
          2.3437615804097396,
          2.628652485540696,
          2.929641292086903,
          3.2475234468713334,
          3.583135263403873,
          3.937356315105542,
          4.311111829978657,
          4.7053751087769236,
          5.121169986538529,
          5.5595733556921685,
          6.021717767159032,
          6.508794123511711,
          7.022054477346869,
          7.562814945394941,
          8.132458748918628,
          8.732439388876234,
          9.364283964133223,
          10.02959664010199,
          10.730062274767672,
          11.467450208500418,
          12.243618224123415,
          13.060516682965764,
          13.920192842836567,
          14.824795363416056,
          15.776579004639718,
          16.77790952326318,
          17.83126877296879,
          18.939260013497503,
          20.10461343365239,
          21.330191894214448,
          22.618996896699212,
          23.974174784585976,
          25.399023186275528,
          26.896997709447533,
          28.42615569252894,
          29.91303209778555,
          31.360904118601677,
          32.772602919617505,
          34.1505963177326,
          35.49705251153493,
          36.8138899471794,
          38.10281686264934,
          39.36536302564988,
          40.60290548343267,
          41.816689660306245,
          43.007846798471554,
          44.177408494192676,
          45.326318904206786,
          46.45544506678003,
          47.56558568446476,
          48.65747864215506,
          49.73180747801976,
          50.789206981752336,
          51.830268061052294,
          52.855541990977386,
          53.865544140047604,
          54.8607572504609,
          55.84163433653818,
          56.808601254832325,
          57.76205899066399,
          58.70238569876638,
          59.62993852990569,
          60.54505527054763,
          61.44805581865826,
          62.339243515411525,
          63.218906349799404,
          64.0873180508051,
          64.944739079831,
          65.79141753440189,
          66.62758997274469,
          67.45348216763374,
          68.2693097968525,
          69.07527907672953,
          69.87158734444054,
          70.65842359409983,
          71.43596897109163,
          72.20439722858856,
          72.96387514977009,
          73.71456293886835,
          74.45661458384001,
          75.19017819316323,
          75.91539630900473,
          76.63240619877301,
          77.34134012687007,
          78.04232560827846,
          78.73548564546091,
          79.42093894990774,
          80.09880014954348,
          80.76917998309135,
          81.43218548239341,
          82.0879201435954,
          82.73648408802458,
          83.37797421351615,
          84.01248433687883,
          84.64010532813116,
          85.26092523708871,
          85.87502941283195,
          86.48250061654271,
          87.08341912815845,
          87.67786284725602,
          88.26590738854584,
          88.847626172327,
          89.42309051022679,
          89.99236968652475,
          90.55553103533819,
          91.11264001392453,
          91.66376027233976,
          92.20895371967252,
          92.74828058705882,
          93.28179948766856,
          93.80956747383989,
          94.33164009152676,
          94.84807143221332,
          95.35891418243855,
          95.8642196710644,
          96.36403791441246,
          96.8584176593861,
          97.34740642468677,
          97.831050540227,
          98.30939518483507,
          98.78248442234232,
          99.25036123613557,
          99.71306756225457,
          100.17064432110882,
          100.62313144788213,
          101.07056792169153,
          101.51299179356172,
          101.95044021327323,
          102.38294945513805,
          102.81055494275563,
          103.23329127279618,
          103.65119223785862,
          104.06429084844494,
          104.47261935409247,
          104.87620926370315,
          105.2750913651047,
          105.66929574387984,
          106.05885180149534,
          106.44378827276161,
          106.82413324265278,
          107.19991416251385,
          107.57115786568278,
          107.93789058255102,
          108.30013795508665,
          108.65792505084299,
          109.01127637647299,
          109.36021589077116,
          109.70476701726034,
          110.04495265634311,
          110.38079519703503,
          110.71231652829577,
          111.03953804997363,
          111.36248068337973,
          111.68116488150523,
          111.99561063889446,
          112.30583750118907,
          112.61186457435326,
          112.91371053359337,
          113.21139363198284,
          113.5049317088024,
          113.79434219760712,
          114.07964213402889,
          114.36084816332419,
          114.6379765476765,
          114.91104317326067,
          115.18006355707922,
          115.44505285357612,
          115.7060258610375,
          115.9629970277855,
          116.21598045817156,
          116.46498991837717,
          116.71003884202688,
          116.9511403356201,
          117.18830718378763,
          117.42155185437811,
          117.65088650337951,
          117.87632297968106,
          118.09787282968017,
          118.31554730173883,
          118.52935735049425,
          118.73931364102775,
          118.94542655289614,
          119.14770618402873,
          119.34616235449485,
          119.54080461014483,
          119.73164222612715,
          119.91868421028693,
          120.10193930644633,
          120.28141599757258,
          120.45712250883405,
          120.62906681054888,
          120.7972566210278,
          120.96169940931419,
          121.12240239782332,
          121.27937256488396,
          121.43261664718324,
          121.58214114211772,
          121.72795231005267,
          121.87005617649186,
          122.00845853415824,
          122.14316494498858,
          122.27418074204375,
          122.4015110313354,
          122.52516069357088,
          122.64513438581866,
          122.76143654309415,
          122.87407137986852,
          122.98304289150067,
          123.08835485559456,
          123.19001083328246,
          123.28801417043466,
          123.38236799879765,
          123.47307523706122,
          123.56013859185492,
          123.64356055867502,
          123.72334342274307,
          123.79948925979636,
          123.87199993681085,
          123.94087711265712,
          124.00612223869021,
          124.0677365592736,
          124.12572111223763,
          124.1800767292733,
          124.23080403626064,
          124.27790345353341,
          124.3213751960789,
          124.36121927367417,
          124.39743549095805,
          124.43002344743981,
          124.45898253744333,
          124.48431194998794,
          124.50601066860517,
          124.5240774710919,
          124.5385109291987,
          124.54930940825422,
          124.55647106672512,
          124.55999385571077,
          124.55987551837259,
          124.55611358929838,
          124.54870539379944,
          124.5376480471422,
          124.52293845371176,
          124.50457330610821,
          124.4825490841742,
          124.4568620539534,
          124.42750826657885,
          124.39448355709101,
          124.35778354318342,
          124.31740362387659,
          124.27333897811738,
          124.22558456330455,
          124.17413511373799,
          124.11898513899092,
          124.06012892220427,
          123.99756051830116,
          123.93127375212036,
          123.86126221646758,
          123.78751927008241,
          123.71003803552014,
          123.62881139694586,
          123.54383199783976,
          123.45509223861116,
          123.36258427412018,
          123.2663000111041,
          123.1662311055067,
          123.06236895970859,
          122.95470471965565,
          122.8432292718833,
          122.72793324043498,
          122.60880698367022,
          122.48584059096196,
          122.359023879278,
          122.22834638964527,
          122.09379738349237,
          121.95536583886876,
          121.81304044653507,
          121.66680960592328,
          121.51666142096094,
          121.36258369575727,
          121.20456393014553,
          121.04258931507914,
          120.87664672787534,
          120.70672272730336,
          120.53280354851138,
          120.35487509778767,
          120.17292294715017,
          119.98693232876009,
          119.79688812915285,
          119.60277488328057,
          119.40457676836077,
          119.20227759752366,
          118.99586081325204,
          118.78530948060612,
          118.57060628022717,
          118.35173350111008,
          118.12867303313952,
          117.90140635937844,
          117.66991454810284,
          117.43417824457131,
          117.1941776625209,
          116.94989257537958,
          116.70130230718328,
          116.44838572318797,
          116.19112122016426,
          115.92948671636314,
          115.66345964113894,
          115.39301692421799,
          115.11813498459698,
          114.83878971905828,
          114.55495649028528,
          114.26661011456258,
          113.97372484904392,
          113.67627437856953,
          113.37423180201498,
          113.0675696181514,
          112.75625971099615,
          112.44027333463309,
          112.11958109747864,
          111.79415294596986,
          111.46395814764976,
          111.12896527362211,
          110.78914218034824,
          110.44445599075593,
          110.0948730746293,
          109.74035902824633,
          109.38087865322892,
          109.0163959345694,
          108.64687401779364,
          108.27227518521994,
          107.89256083127005,
          107.50769143678637,
          107.11762654230591,
          106.72232472023991,
          106.32174354590366,
          105.91583956733871,
          105.5045682738653,
          105.0878840632997,
          104.66574020776694,
          104.23808881803423,
          103.80488080628658,
          103.366065847261,
          102.92159233764961,
          102.47140735367638,
          102.01545660674651,
          101.5536843970593,
          101.08603356506961,
          100.61244544067416,
          100.1328597899897,
          99.6472147595829,
          99.15544681799992,
          98.65749069443291,
          98.15327931435023,
          97.64274373190327,
          97.12581305890885,
          96.60241439019217,
          96.07247272505778,
          95.53591088463858,
          94.99264942485368,
          94.4426065446846,
          93.88569798945545,
          93.32183694877854,
          92.75093394879808,
          92.1728967383346,
          91.58763016849957,
          90.995036065312,
          90.39501309480997,
          89.7874566201039,
          89.1722585497706,
          88.54930717693234,
          87.91848700830487,
          87.27967858243304,
          86.63275827625804,
          85.97759809907903,
          85.31406547288059,
          84.64202299789665,
          83.96132820216769,
          83.27183327372231,
          82.57338477387164,
          81.86582332994755,
          81.14898330563592,
          80.42269244685536,
          79.68677150090544,
          78.94103380635148,
          78.18528485082267,
          77.41932179356984,
          76.6429329492546,
          75.85589722901273,
          75.0579835343447,
          74.24895009882617,
          73.42854377198485,
          72.59649923894804,
          71.7525381686053,
          70.8963682820359,
          70.02768233179319,
          69.14615698128841,
          68.25145157193779,
          67.34320676388221,
          66.42104303390504,
          65.48455901158863,
          64.5333296316829,
          63.56690407699946,
          62.584803481763956,
          61.5865183600869,
          60.57150571784104,
          59.53918579849006,
          58.4889384039549,
          57.42009871998585,
          56.331952561149656,
          55.223730932684965,
          54.09460378412373,
          52.943672801385446,
          51.76996304823308,
          50.5724132220958,
          49.34986422997502,
          48.101045712819,
          46.82456004486864,
          45.51886319878641,
          44.18224168452605,
          42.812784520332336,
          41.40834884886923,
          39.966517326149166,
          38.48454471749171,
          36.95929012547802,
          35.387129775547145,
          33.76384300598468,
          32.08446055492113,
          30.343058529883777,
          28.617223664311677,
          26.97807602506586,
          25.424894645535957,
          23.953410534058577,
          22.559372823958398,
          21.238728436836283,
          19.98762405962678,
          18.802398695974187,
          17.679575714943432,
          16.6158549379863,
          15.60810484746984,
          14.653354962697287,
          13.748788416419167,
          12.891734755641789,
          12.079662983303214,
          11.310174851304284,
          10.580998410565323,
          9.889981819698543,
          9.235087409916714,
          8.614386000809432,
          8.026051457456099,
          7.468355476025292,
          6.939662580191154,
          6.438425305232402,
          5.963179539614392,
          5.512539985145839,
          5.085195685084774,
          4.679905555619603,
          4.2954938376115335,
          3.9308453639200653,
          3.5849005099631506,
          3.2566496627524217,
          2.9451270024195693,
          2.6494033375551753,
          2.3685776621259413,
          2.1017669936781296,
          1.8480938907953182,
          1.6066708316196083,
          1.3765804838411593,
          1.1568514962895464,
          0.946433974358292,
          0.7442016816358484,
          0.5491145328185636,
          0.36108927753363096,
          0.2030693124394881,
          0.06279689119346885,
          -0.06226760286128332,
          -0.18711813511020012,
          -0.29909746160358447,
          -0.3993634733197441,
          -0.490055808688592,
          -0.5728075852764504,
          -0.6488460033343124,
          -0.7191267050850773,
          -0.7844228557949711,
          -0.8453869787222015,
          -0.9026019073347249,
          -0.9566376233973907,
          -1.0081469436511143,
          -1.0581113026515145,
          -1.1087991239715178,
          -1.1469693755427572,
          -1.1775944465560837,
          -1.202770136067879,
          -1.2234714847110428,
          -1.239908867025197,
          -1.2550981740458407,
          -1.268297791500274,
          -1.2822355144800117,
          -1.2959311692563942,
          -1.308778693163853,
          -1.3203012255955182,
          -1.3300136167808871,
          -1.337194548372122,
          -1.3397722989887138,
          -1.3380910673463866,
          -1.3328034125684958,
          -1.324293847946468,
          -1.3126417127425938,
          -1.2978066211452526,
          -1.2796702731124192,
          -1.2580483764419006,
          -1.2326912258901535,
          -1.203277204039027,
          -1.1693998879892737,
          -1.1305476826916336,
          -1.0860735665711814,
          -1.03515169376164,
          -0.9767199501414707,
          -0.9094269122875275,
          -0.831697132495679,
          -0.7423487332303533,
          -0.6421985040726854,
          -0.534005823122986,
          -0.41938892201590294,
          -0.29838334333190286,
          -0.17050718085938915,
          -0.03519126997062477,
          0.10812881024155929,
          0.2600023527843796,
          0.42096881718765244,
          0.591564827290008,
          0.7723303008157607,
          0.9638135562843979,
          1.1665756581236602,
          1.3811942462989364,
          1.6082670166236008,
          1.8484149509946766,
          2.1022853545979925,
          2.3705547338784267,
          2.6539315398835237,
          2.953158798242409,
          3.2690166481623812,
          3.602324813815718,
          3.953945032711829,
          4.324783465646443,
          4.715793111813615,
          5.127976251373212,
          5.562386935639182,
          6.02013354281526,
          6.50238141536928,
          7.0103555927181604,
          7.545343651615829,
          8.108698664787799,
          8.701842287246079,
          9.326267978778256,
          9.983544369954673,
          10.675318779011723,
          11.403320885423211,
          12.169366566696501,
          12.975361903685187,
          13.823307359751988,
          14.715302138852822,
          15.653548727512504,
          16.640357624770132,
          17.67815226471178,
          18.76947413555449,
          19.9169880989681,
          21.123487913660266,
          22.39190196689817,
          23.725299217929546,
          25.12689535819149,
          26.600059194026286,
          28.148319260347396,
          29.681013663211647,
          31.17180981133278,
          32.62389024643778,
          34.040012596997016,
          35.422586909140655,
          36.773735560286454,
          38.09534035422857,
          39.38908002103488,
          40.6564604248256,
          41.898839153541445,
          43.11744572666109,
          44.31339834629415,
          45.48771789351044,
          46.64133970849583,
          47.77512357231381,
          48.88986221757675,
          49.98628862681425,
          51.06508232490302,
          52.12687483142789,
          53.17225440728358,
          54.20177020502414,
          55.215935912824044,
          56.21523296624475,
          57.20011338941147,
          58.17100231703001,
          59.12830024039613,
          60.07238501377852,
          61.00361365198934,
          61.92232394534912,
          62.828835914432524,
          63.72345312378581,
          64.6064638711327,
          65.47814226633224,
          66.33874921244882,
          67.18853329967865,
          68.02773162150226,
          68.85657052125624,
          69.6752662763112,
          70.48402572617537,
          71.2830468500951,
          72.07251929907792,
          72.85262488670078,
          73.62353804257916,
          74.38542623194472,
          75.13845034440826,
          75.88276505465619,
          76.61851915754394,
          77.34585587979313,
          78.06491317027984,
          78.77582397070138,
          79.47871646823444,
          80.17371433164254,
          80.86093693215152,
          81.54049955028889,
          82.21251356977308,
          82.87708665943865,
          83.5343229440971,
          84.18432316515221,
          84.82718483171818,
          85.46300236292367,
          86.09186722202944,
          86.71386804293145,
          87.32909074957716,
          87.93761866877793,
          88.53953263686334,
          89.1349111005851,
          89.7238302126504,
          90.30636392223076,
          90.88258406077017,
          91.452560423388,
          92.01636084615333,
          92.57405127948554,
          93.12569585791633,
          93.67135696643489,
          94.21109530361763,
          94.74496994173336,
          95.27303838400007,
          95.79535661915718,
          96.31197917350603,
          96.82295916056214,
          97.32834832845177,
          97.828197105177,
          98.32255464186676,
          98.81146885412099,
          99.29498646155132,
          99.77315302561279,
          100.2460129858162,
          100.71360969440522,
          101.17598544957667,
          101.63318152731811,
          102.08523821193265,
          102.5321948253152,
          102.97408975504331,
          103.41096048133885,
          103.84284360295622,
          104.26977486204785,
          104.691789168056,
          105.10892062067632,
          105.5212025319361,
          105.92866744742864,
          106.33134716674148,
          106.72927276311597,
          107.12247460237172,
          107.51098236112901,
          107.8948250443597,
          108.27403100229705,
          108.64862794672999,
          109.01864296671079,
          109.38410254369909,
          109.74503256616646,
          110.10145834368456,
          110.45340462051784,
          110.80089558874062,
          111.1439549008986,
          111.48260568223243,
          111.81687054248162,
          112.14677158728455,
          112.47233042919036,
          112.79356819829852,
          113.11050555254009,
          113.42316268761368,
          113.73155934658969,
          114.03571482919551,
          114.33564800079296,
          114.63137730105899,
          114.92292075238176,
          115.21029596798047,
          115.49352015976052,
          115.77261014591227,
          116.04758235826247,
          116.3184528493876,
          116.5852372994965,
          116.84795102309037,
          117.10660897540821,
          117.36122575866352,
          117.6118156280806,
          117.85839249773572,
          118.10096994621057,
          118.33956122206305,
          118.57417924912141,
          118.80483663160771,
          119.031545659095,
          119.25431831130409,
          119.47316626274457,
          119.68810088720363,
          119.89913326208911,
          120.10627417262911,
          120.30953411593313,
          120.50892330491921,
          120.7044516721088,
          120.8961288732957,
          121.08396429109004,
          121.26796703834182,
          121.44814596144722,
          121.6245096435399,
          121.79706640757115,
          121.96582431928064,
          122.1307911900615,
          122.2919745797211,
          122.44938179914088,
          122.6030199128374,
          122.75289574142589,
          122.8990158639901,
          123.04138662035888,
          123.18001411329207,
          123.31490421057792,
          123.44606254704308,
          123.57349452647753,
          123.69720532347515,
          123.81719988519257,
          123.9334829330266,
          124.04605896421293,
          124.15493225334585,
          124.26010685382143,
          124.36158659920507,
          124.4593751045238,
          124.55347576748576,
          124.64389176962607,
          124.73062607738203,
          124.81368144309633,
          124.89306040595099,
          124.96876529283149,
          125.04079821912275,
          125.10916108943611,
          125.17385559827012,
          125.23488323060329,
          125.29224526242136,
          125.34594276117764,
          125.39597658618828,
          125.44234738896209,
          125.48505561346519,
          125.52410149632092,
          125.55948506694527,
          125.59120614761706,
          125.61926435348464,
          125.64365909250752,
          125.66438956533369,
          125.68145476511256,
          125.69485347724269,
          125.70458427905585,
          125.71064553943494,
          125.71303541836723,
          125.71175186643158,
          125.7067926242203,
          125.69815522169411,
          125.68583697747046,
          125.66983499804468,
          125.65014617694258,
          125.62676719380549,
          125.59969451340514,
          125.56892438458912,
          125.53445283915573,
          125.49627569065665,
          125.45438853312773,
          125.40878673974599,
          125.35946546141253,
          125.30641962525941,
          125.24964393308036,
          125.18913285968327,
          125.12488065116364,
          125.05688132309743,
          124.98512865865207,
          124.90961620661403,
          124.83033727933159,
          124.74728495057045,
          124.66045205328147,
          124.56983117727829,
          124.47541466682245,
          124.37719461811486,
          124.27516287669104,
          124.16931103471838,
          124.05963042819224,
          123.94611213402979,
          123.82874696705836,
          123.70752547689544,
          123.58243794471875,
          123.45347437992223,
          123.3206245166562,
          123.18387781024754,
          123.04322343349777,
          122.8986502728551,
          122.7501469244565,
          122.59770169003777,
          122.44130257270578,
          122.2809372725704,
          122.11659318223182,
          121.94825738211823,
          121.77591663566993,
          121.59955738436557,
          121.4191657425847,
          121.23472749230247,
          121.04622807761038,
          120.85365259905838,
          120.65698580781171,
          120.45621209961719,
          120.25131550857193,
          120.04227970068858,
          119.82908796724979,
          119.61172321794508,
          119.390167973782,
          119.16440435976445,
          118.93441409732955,
          118.7001784965346,
          118.46167844798529,
          118.21889441449544,
          117.97180642246906,
          117.7203940529937,
          117.46463643263507,
          117.20451222392141,
          116.93999961550546,
          116.67107631199237,
          116.39771952342025,
          116.11990595437942,
          115.83761179275709,
          115.55081269809158,
          115.25948378952116,
          114.96359963331021,
          114.66313422993684,
          114.358061000722,
          114.04835277398286,
          113.73398177068891,
          113.41491958960094,
          113.09113719186973,
          112.76260488507174,
          112.42929230665729,
          112.09116840678472,
          111.74820143051434,
          111.40035889933229,
          111.04760759197451,
          110.68991352451951,
          110.32724192971497,
          109.95955723550338,
          109.58682304270884,
          109.20900210184529,
          108.8260562890037,
          108.43794658077466,
          108.04463302815782,
          107.6460747294096,
          107.24222980177552,
          106.8330553520513,
          106.41850744591291,
          105.99854107595304,
          105.57311012835633,
          105.14216734814244,
          104.70566430290083,
          104.26355134493726,
          103.81577757174524,
          103.36229078471207,
          102.90303744596102,
          102.43796263322665,
          101.96700999265151,
          101.49012168938636,
          101.0072383558668,
          100.51829903763158,
          100.02324113653656,
          99.52200035121045,
          99.01451061458454,
          98.50070402831892,
          97.98051079393309,
          97.45385914043521,
          96.92067524822829,
          96.38088316905528,
          95.8344047417264,
          95.2811595033515,
          94.7210645957794,
          94.15403466692088,
          93.57998176660722,
          92.99881523660615,
          92.41044159438685,
          91.81476441018988,
          91.21168417692117,
          90.60109817234661,
          89.98290031301778,
          89.35698099930885,
          88.72322695088864,
          88.08152103188927,
          87.43174206496427,
          86.7737646333526,
          86.10745886998038,
          85.43269023253721,
          84.74931926335897,
          84.05720133283137,
          83.35618636489686,
          82.64611854310016,
          81.926835995442,
          81.19817045612533,
          80.45994690206713,
          79.71198316181378,
          78.95408949422894,
          78.18606813401983,
          77.40771280082248,
          76.61880816817316,
          75.8191292882456,
          75.00844096771904,
          74.18649708955363,
          73.35303987477253,
          72.50779907756801,
          71.65049110614461,
          70.78081806066496,
          69.89846667844142,
          69.00310717509318,
          68.09439196871838,
          67.17195427216845,
          66.23540653619666,
          65.28433872351003,
          64.31831639049297,
          63.33687854947585,
          62.339535279750336,
          61.32576504990335,
          60.29501170722387,
          59.24668108163749,
          58.1801371414663,
          57.094697625807946,
          55.989629062841814,
          54.86414106406615,
          53.71737976024147,
          52.548420214181974,
          51.35625760650273,
          50.13979694027587,
          48.897840945527946,
          47.62907577940333,
          46.332054005264105,
          45.00517418347241,
          43.64665620284893,
          42.254511202347416,
          40.82650454366367,
          39.360109745927325,
          37.85245050327838,
          36.30022674752511,
          34.69961898301539,
          33.04616245971679,
          31.3345785575872,
          29.558543943485816,
          27.857920301312518,
          26.24619519282206,
          24.719649249928796,
          23.273875952066664,
          21.904638786455557,
          20.60790845457866,
          19.379856966628914,
          18.216849445741676,
          17.115435864921167,
          16.072342895005594,
          15.084465919634724,
          14.14886125441034,
          13.262738596850664,
          12.423453726262325,
          11.628501465471734,
          10.875508911534839,
          10.162228937873675,
          9.48653396692271,
          8.846410008324286,
          8.239950954902495,
          7.6653531250040725,
          7.120910035524594,
          6.605007385737355,
          6.116118225619648,
          5.652798275293463,
          5.213681352273888,
          4.797474851287402,
          4.402955206068172,
          4.028963243535818,
          3.6743993177628735,
          3.338218082879673,
          3.0194227303108456,
          2.717058473025942,
          2.430205003118064,
          2.1579675690231435,
          1.8994661988443795,
          1.6538224216219128,
          1.4201426357127214,
          1.1974972936463377,
          0.9848965693128351,
          0.781271819176623,
          0.5855136708848334,
          0.39680478000581526,
          0.21609871902483688,
          0.0695055873200759,
          -0.06051741506156781,
          -0.17674029330280114,
          -0.2923958791208806,
          -0.3963471496712409,
          -0.4896563141653168,
          -0.5741790739494572,
          -0.6513441825284082,
          -0.7222400309293848,
          -0.7877246032129828,
          -0.848499892683135,
          -0.9051659256431818,
          -0.9582690273124287,
          -1.0083629817665,
          -1.056128657927706,
          -1.102733398471918,
          -1.1465433488388055,
          -1.178657518268725,
          -1.2045060905923928,
          -1.2256232723411509,
          -1.2426838763766648,
          -1.2555998587121957,
          -1.267463178869782,
          -1.2791610312900068,
          -1.2910001203438721,
          -1.3021794554701087,
          -1.3121412087533049,
          -1.3203778490687879,
          -1.3262622840246954,
          -1.328576447763772,
          -1.3262497007758538,
          -1.319973173435903,
          -1.3104201222848701,
          -1.29774907945282,
          -1.2819441258813191,
          -1.2629083222062667,
          -1.2404801390613394,
          -1.2144365185460035,
          -1.1844888744763666,
          -1.1502733046529747,
          -1.1113345274942932,
          -1.0671017727916907,
          -1.0168536991905412,
          -0.9596690946125322,
          -0.8943653577518215,
          -0.8194599901535596,
          -0.7333401506289455,
          -0.6352197932059371,
          -0.5268083813247955,
          -0.4109914312213638,
          -0.28887861332109294,
          -0.16025780107446105,
          -0.024572260194088674,
          0.11877482985674716,
          0.2703641637153262,
          0.43075836430426556,
          0.6005094034092441,
          0.7801662303550975,
          0.9702811654596359,
          1.171415176173669,
          1.3841423597462896,
          1.6090538899347169,
          1.846761594235854,
          2.097901260618475,
          2.3631357321075925,
          2.643157826140314,
          2.9386931067834228,
          3.2505025351107335,
          3.5793850233169353,
          3.9261799189244604,
          4.291769445624477,
          4.677081126822823,
          5.083090216354598,
          5.510822158855576,
          5.961355100389899,
          6.435822466654828,
          6.935415625055878,
          7.461386643655566,
          8.015051159110971,
          8.597791363723728,
          9.211059120615092,
          9.856379214892712,
          10.53535274820249,
          11.249660682615385,
          12.0010675403089,
          12.791425264061255,
          13.622677243543663,
          14.496862512290987,
          15.416120119389623,
          16.382693679838177,
          17.39893610681244,
          18.46731452947728,
          19.590415398410496,
          20.77094978162447,
          22.011758852363403,
          23.31581957153575,
          24.68625056549604,
          26.12631820183682,
          27.63944286601196,
          29.223520205673594,
          30.762151773838525,
          32.25897970459942,
          33.71713651477457,
          35.13934199768199,
          36.52797737728419,
          37.885142964808594,
          39.21270362283082,
          40.51232506863591,
          41.7855031923085,
          43.03358797694892,
          44.25780319701949,
          45.45926277812301,
          46.638984490049545,
          47.7979014899958,
          48.93687211788106,
          50.0566882593432,
          51.15808252644682,
          52.24173445586886,
          53.30827588540787,
          54.35829563927744,
          55.392343628713505,
          56.4109344554441,
          57.41455059040048,
          58.4036451878443,
          59.37864458520684,
          60.33995053088814,
          61.28794217567357,
          62.2229778579972,
          63.14539670879021,
          64.05552009791438,
          64.95365294106202,
          65.84008488338236,
          66.7150913738888,
          67.57893464283433,
          68.43186459265698,
          69.27411961174545,
          70.10592731912195,
          70.92750524714572,
          71.73906146848886,
          72.54079517289904,
          73.33289719862664,
          74.11555052283852,
          74.88893071486063,
          75.65320635566886,
          76.40853942668062,
          77.1550856705759,
          77.89299492659214,
          78.62241144248848,
          79.34347416515187,
          80.0563170116235,
          80.76106912214902,
          81.45785509670382,
          82.14679521630565,
          82.82800565030492,
          83.50159865073454,
          84.16768273470156,
          84.8263628557177,
          85.477740564784,
          86.12191416197665,
          86.75897883921552,
          87.38902681484005,
          88.01214746056526,
          88.6284274213432,
          89.23795072861267,
          89.84079890738124,
          90.43705107754927,
          91.02678404985238,
          91.61007241677063,
          92.18698863872642,
          92.75760312586753,
          93.32198431571155,
          93.88019874690627,
          94.43231112934218,
          94.97838441083712,
          95.51847984059694,
          96.0526570296417,
          96.58097400837373,
          97.1034872814522,
          97.62025188012741,
          98.13132141217704,
          98.63674810957885,
          99.13658287404374,
          99.63087532052579,
          100.11967381881847,
          100.60302553333901,
          101.08097646119629,
          101.55357146863287,
          102.02085432592392,
          102.48286774081309,
          102.9396533905589,
          103.39125195266166,
          103.83770313433615,
          104.27904570079238,
          104.71531750238191,
          105.1465555006643,
          105.57279579344669,
          105.99407363884305,
          106.41042347840066,
          106.82187895933667,
          107.22847295592547,
          107.63023759007588,
          108.02720425113445,
          108.41940361495001,
          108.80686566223173,
          109.18961969623165,
          109.5676943597821,
          109.94111765171415,
          110.30991694268542,
          110.67411899044077,
          111.03374995453038,
          111.38883541050771,
          111.73940036362904,
          112.08546926207437,
          112.42706600970939,
          112.76421397840701,
          113.09693601994607,
          113.42525447750339,
          113.7491911967557,
          114.06876753660583,
          114.38400437954849,
          114.69492214168827,
          115.00154078242403,
          115.30387981381133,
          115.60195830961497,
          115.89579491406334,
          116.18540785031527,
          116.47081492864899,
          116.75203355438477,
          117.02908073554842,
          117.30197309028681,
          117.57072685404232,
          117.8353578864959,
          118.09588167828525,
          118.35231335750633,
          118.60466769600602,
          118.85295911547135,
          119.09720169332287,
          119.33740916841883,
          119.57359494657474,
          119.80577210590582,
          120.03395340199627,
          120.25815127290245,
          120.47837784399292,
          120.69464493263182,
          120.90696405271007,
          121.11534641902786,
          121.31980295153383,
          121.52034427942411,
          121.71698074510606,
          121.90972240802975,
          122.09857904839093,
          122.28356017070917,
          122.4646750072843,
          122.64193252153446,
          122.81534141121853,
          122.98491011154579,
          123.15064679817635,
          123.31255939011407,
          123.47065555249493,
          123.62494269927332,
          123.77542799580834,
          123.9221183613531,
          124.06502047144788,
          124.20414076022017,
          124.33948542259358,
          124.47106041640646,
          124.5988714644433,
          124.72292405637967,
          124.84322345064292,
          124.95977467618933,
          125.07258253420042,
          125.18165159969845,
          125.28698622308382,
          125.38859053159402,
          125.4864684306866,
          125.58062360534709,
          125.671059521322,
          125.75777942627919,
          125.84078635089523,
          125.92008310987194,
          125.99567230288157,
          126.06755631544262,
          126.13573731972598,
          126.20021727529276,
          126.26099792976378,
          126.31808081942198,
          126.37146726974737,
          126.42115839588567,
          126.46715510305054,
          126.5094580868601,
          126.5480678336077,
          126.5829846204674,
          126.61420851563399,
          126.6417393783984,
          126.66557685915733,
          126.68572039935886,
          126.70216923138203,
          126.71492237835213,
          126.72397865389034,
          126.72933666179836,
          126.73099479567702,
          126.72895123847934,
          126.72320396199748,
          126.71375072628274,
          126.70058907899919,
          126.68371635470947,
          126.66312967409276,
          126.6388259430943,
          126.61080185200562,
          126.57905387447497,
          126.54357826644775,
          126.50437106503443,
          126.46142808730745,
          126.41474492902428,
          126.36431696327678,
          126.31013933906503,
          126.25220697979563,
          126.19051458170192,
          126.12505661218614,
          126.05582730808153,
          125.98282067383299,
          125.9060304795955,
          125.8254502592483,
          125.74107330832285,
          125.65289268184398,
          125.56090119208164,
          125.46509140621158,
          125.36545564388332,
          125.26198597469312,
          125.15467421556018,
          125.04351192800358,
          124.92849041531765,
          124.80960071964354,
          124.68683361893484,
          124.56017962381388,
          124.42962897431637,
          124.29517163652184,
          124.15679729906647,
          124.01449536953542,
          123.86825497073146,
          123.71806493681628,
          123.56391380932155,
          123.40578983302504,
          123.2436809516895,
          123.07757480365865,
          122.90745871730745,
          122.7333197063416,
          122.55514446494176,
          122.37291936274815,
          122.18663043968064,
          121.99626340058823,
          121.80180360972416,
          121.60323608503947,
          121.40054549229015,
          121.19371613895174,
          120.98273196793438,
          120.76757655109228,
          120.54823308252035,
          120.32468437163092,
          120.09691283600284,
          119.86490049399508,
          119.62862895711636,
          119.38807942214252,
          119.14323266297255,
          118.89406902221295,
          118.64056840248192,
          118.38271025742179,
          118.12047358240945,
          117.85383690495313,
          117.58277827476377,
          117.3072752534886,
          117.02730490409311,
          116.74284377987892,
          116.45386791312194,
          116.16035280331644,
          115.86227340500908,
          115.5596041152058,
          115.25231876033479,
          114.94039058274669,
          114.62379222673287,
          114.3024957240414,
          113.9764724788696,
          113.64569325231056,
          113.31012814622989,
          112.96974658654815,
          112.62451730590247,
          112.27440832565986,
          111.9193869372529,
          111.55941968280762,
          111.19447233503038,
          110.82450987632036,
          110.44949647707102,
          110.06939547312214,
          109.684169342323,
          109.29377968016311,
          108.89818717442567,
          108.49735157881597,
          108.09123168551403,
          107.6797852965979,
          107.26296919428053,
          106.84073910989977,
          106.4130496915978,
          105.9798544706214,
          105.54110582617102,
          105.0967549487216,
          104.64675180173323,
          104.19104508166443,
          103.72958217619532,
          103.26230912056177,
          102.78917055189422,
          102.31010966144964,
          101.82506814461496,
          101.33398614855398,
          100.83680221736003,
          100.33345323456659,
          99.82387436285823,
          99.30799898081267,
          98.78575861649205,
          98.25708287768859,
          97.72189937861484,
          97.18013366281338,
          96.63170912204288,
          96.07654691087953,
          95.51456585675146,
          94.94568236510209,
          94.36981031935353,
          93.78686097531444,
          93.19674284964746,
          92.59936160197931,
          91.99461991020068,
          91.38241733846533,
          90.76265019735389,
          90.1352113956213,
          89.49999028289479,
          88.85687248263159,
          88.20573971458204,
          87.54646960593305,
          86.87893549022876,
          86.2030061930779,
          85.51854580356061,
          84.82541343013933,
          84.12346293975703,
          83.41254267867194,
          82.69249517342533,
          81.96315681016897,
          81.22435749038807,
          80.47592026083844,
          79.71766091527371,
          78.94938756526196,
          78.17090017707805,
          77.38199007130174,
          76.58243938134616,
          75.77202046667799,
          74.9504952759594,
          74.11761465473359,
          73.27311759157334,
          72.41673039580404,
          71.54816579897457,
          70.66712197116198,
          69.77328144192953,
          68.86630991427627,
          67.94585495818124,
          67.01154456830288,
          66.06298556798227,
          65.09976183883916,
          64.1214323518457,
          63.12752897169245,
          62.11755400137463,
          61.090977428028935,
          60.047233823901024,
          58.98571884760762,
          57.90578528017425,
          56.80673851715862,
          55.68783142183129,
          54.54825842398291,
          53.38714872327351,
          52.20355842353995,
          50.99646138297888,
          49.76473851168142,
          48.507165178544525,
          47.222396298441836,
          45.90894854965892,
          44.56517900944682,
          43.18925927532443,
          41.779143836614516,
          40.33253103722528,
          38.846814369506156,
          37.31902097021739,
          35.74573290914423,
          34.12298493161571,
          32.446129336920876,
          30.709653943928007,
          28.941053003612428,
          27.259855620259383,
          25.667659498301422,
          24.160123336679714,
          22.732811196681883,
          21.381490473468542,
          20.102139369053496,
          18.890939073710886,
          17.744265174880105,
          16.658679126260363,
          15.63091987485345,
          14.657895690765834,
          13.73667623093619,
          12.864484859390293,
          12.038691238325171,
          11.25680419913498,
          10.51646489784812,
          9.81544025452331,
          9.151616673795987,
          8.522994039772145,
          7.927679975439756,
          7.363884353423495,
          6.829914040706863,
          6.324167855244705,
          5.845131706160571,
          5.39137388131179,
          4.96154043623997,
          4.554350625866691,
          4.168592304400521,
          3.8031171997695905,
          3.4568359452982524,
          3.128712723349478,
          2.8177593411779203,
          2.5230285164112,
          2.2436060914972713,
          1.9786018124715334,
          1.727138181593988,
          1.4883367167491903,
          1.2613007841915151,
          1.0450944171683512,
          0.8387190863956546,
          0.6411037586599997,
          0.4511862999224531,
          0.2684301096408497,
          0.09485597087624115,
          -0.042628233705823096,
          -0.16463905423931152,
          -0.2738521828141805,
          -0.38221319451388724,
          -0.4796720022556415,
          -0.5672219791556942,
          -0.6465305332077431,
          -0.718889430460587,
          -0.785291355458827,
          -0.8465245868979474,
          -0.9032381381158812,
          -0.9559906594759459,
          -1.005296861181272,
          -1.0516920742248241,
          -1.0958729789607886,
          -1.1391735996067662,
          -1.1753679484784068,
          -1.202927078812567,
          -1.2250029911875777,
          -1.2428230276488004,
          -1.25691529998338,
          -1.267453238365289,
          -1.2765711980001102,
          -1.2864704759087333,
          -1.296090511512953,
          -1.304723227403537,
          -1.3118213290320333,
          -1.3168228616093014,
          -1.3189255359999867,
          -1.3163550789517375,
          -1.3088177453427625,
          -1.2980608699221148,
          -1.2842804177266505,
          -1.267437240493648,
          -1.247441979932688,
          -1.2241487917823388,
          -1.1973555320660392,
          -1.166800632817836,
          -1.1321553470532455,
          -1.0930108469844046,
          -1.0488588273187334,
          -0.9990632371090119,
          -0.9428197885298822,
          -0.8791005250975708,
          -0.8065910270781401,
          -0.7236842170382228,
          -0.6288236587477788,
          -0.5218742278832652,
          -0.40541612787301085,
          -0.2821013626007648,
          -0.15252339875818113,
          -0.01627887736600818,
          0.12724266248637928,
          0.2786584109163499,
          0.43856191622224283,
          0.6075270583419955,
          0.7861168783606681,
          0.9748915837578391,
          1.1744150903166541,
          1.3852604020644708,
          1.6080141872527531,
          1.8432808087657824,
          2.0916859711646585,
          2.3538800814348857,
          2.63054138220783,
          2.9223788969928144,
          3.2301352186840124,
          3.554589170187576,
          3.8965583657913143,
          4.256901702076099,
          4.636521806490331,
          5.036367470918767,
          5.4574360949536285,
          5.900776161982256,
          6.367489767930188,
          6.858735220446194,
          7.375729723779385,
          7.919752162131173,
          8.492145993427586,
          9.094322262567301,
          9.727762743230933,
          10.394023215256391,
          11.094736884632315,
          11.831617951576526,
          12.606465332487758,
          13.421166540024155,
          14.277701726127551,
          15.178147891593934,
          16.124683265479327,
          17.119591857558877,
          18.1652681858432,
          19.26422218129165,
          20.419084270631338,
          21.63261063852268,
          22.90768866820525,
          24.247342561452744,
          25.65473913562147,
          27.133193798471414,
          28.68617669967595,
          30.274046374533977,
          31.816690915679402,
          33.31768210408225,
          34.78009898341868,
          36.20662027306889,
          37.59959537436834,
          38.9610997736474,
          40.29297886581901,
          41.59688304565059,
          42.874296118291305,
          44.1265585317586,
          45.354886548471626,
          46.560388197511685,
          47.74407664961453,
          48.906881510138504,
          50.04965841601881,
          51.173197240466365,
          52.278229146570354,
          53.36543268284574,
          54.435439076433994,
          55.48883685045869,
          56.526175868991466,
          57.547970894773364,
          58.554704730179395,
          59.54683100010251,
          60.52477662585998,
          61.488944031412814,
          62.43971311678739,
          63.377443028306374,
          64.3024737508586,
          65.21512754379796,
          66.11571023901155,
          67.00451241714106,
          67.88181047577912,
          68.74786760163994,
          69.60293465714504,
          70.4472509905454,
          71.28104517756296,
          72.1045357015663,
          72.91793157845017,
          73.72143293167227,
          74.51523152226477,
          75.29951123810059,
          76.07444854621284,
          76.84021291155632,
          77.59696718523219,
          78.34486796488218,
          79.08406592967471,
          79.81470615206015,
          80.53692838825401,
          81.25086734921166,
          81.95665295368859,
          82.65441056482592,
          83.34426121156687,
          84.02632179608634,
          84.70070528830958,
          85.36752090849822,
          86.02687429879354,
          86.67886768453094,
          87.32360002606818,
          87.96116716180597,
          88.59166194302354,
          89.21517436109976,
          89.83179166764327,
          90.4415984880121,
          91.04467692866749,
          91.64110667876886,
          92.23096510638521,
          92.81432734967235,
          93.39126640333487,
          93.96185320067086,
          94.52615669147329,
          95.08424391604434,
          95.63618007555624,
          96.18202859898007,
          96.72185120678616,
          97.25570797160411,
          97.78365737602013,
          98.3057563676751,
          98.82206041181799,
          99.33262354145569,
          99.83749840523349,
          100.33673631317124,
          100.83038728037168,
          101.31850006880907,
          101.80112222730125,
          102.27830012976092,
          102.75007901181503,
          103.21650300587723,
          103.67761517475203,
          104.13345754384495,
          104.58407113204959,
          105.02949598137461,
          105.46977118537573,
          105.90493491644825,
          106.3350244520368,
          106.76007619981273,
          107.18012572186845,
          107.5952077579748,
          108.00535624794487,
          108.41060435314552,
          108.81098447719411,
          109.20652828587964,
          109.5972667263403,
          109.98323004553238,
          110.3644478080203,
          110.74094891311773,
          111.11276161140898,
          111.47991352067386,
          111.84243164124554,
          112.20034237082133,
          112.55367151875156,
          112.90244431982713,
          113.24668544758619,
          113.5864190271597,
          113.92166864767388,
          114.25245737422779,
          114.57880775946202,
          114.90074185473509,
          115.21828122092256,
          115.53144693885278,
          115.84025961939425,
          116.14473941320587,
          116.44490602016484,
          116.74077869848244,
          117.03237627351942,
          117.31971714631278,
          117.6028193018232,
          117.88170031691354,
          118.15637736806802,
          118.426867238861,
          118.69318632718368,
          118.9553506522373,
          119.21337586130129,
          119.46727723628256,
          119.71706970005432,
          119.96276782259157,
          120.204385826908,
          120.44193759480335,
          120.67543667242474,
          120.90489627564996,
          121.13032929529622,
          121.35174830216117,
          121.56916555190153,
          121.78259298975217,
          121.99204225509256,
          122.19752468586397,
          122.39905132284196,
          122.5966329137684,
          122.79027991734621,
          122.98000250710201,
          123.16581057511853,
          123.34771373564237,
          123.52572132856815,
          123.69984242280408,
          123.87008581952088,
          124.0364600552877,
          124.19897340509696,
          124.35763388528213,
          124.51244925632936,
          124.66342702558676,
          124.8105744498732,
          124.9538985379884,
          125.09340605312721,
          125.22910351520049,
          125.36099720306224,
          125.48909315664835,
          125.6133971790254,
          125.73391483835373,
          125.85065146976477,
          125.9636121771549,
          126.07280183489772,
          126.1782250894746,
          126.27988636102691,
          126.37778984482868,
          126.47193951268412,
          126.56233911424765,
          126.64899217826982,
          126.73190201376947,
          126.8110717111331,
          126.8865041431413,
          126.95820196592547,
          127.02616761985254,
          127.09040333034136,
          127.15091110860892,
          127.20769275234822,
          127.26074984633865,
          127.31008376298819,
          127.35569566280942,
          127.39758649482778,
          127.43575699692404,
          127.47020769611056,
          127.5009389087415,
          127.52795074065808,
          127.55124308726673,
          127.57081563355356,
          127.58666785403196,
          127.59879901262512,
          127.60720816248364,
          127.61189414573637,
          127.61285559317592,
          127.61009092387856,
          127.60359834475653,
          127.59337585004526,
          127.57942122072232,
          127.56173202385942,
          127.54030561190633,
          127.51513912190661,
          127.48622947464393,
          127.45357337371917,
          127.41716730455691,
          127.37700753334038,
          127.33309010587575,
          127.28541084638222,
          127.23396535620967,
          127.17874901248076,
          127.1197569666577,
          127.05698414303237,
          126.9904252371388,
          126.92007471408509,
          126.84592680680666,
          126.76797551423623,
          126.68621459939155,
          126.60063758737721,
          126.51123776330117,
          126.41800817010225,
          126.3209416062883,
          126.22003062358303,
          126.11526752447801,
          126.00664435969051,
          125.89415292552236,
          125.77778476111975,
          125.65753114563032,
          125.53338309525593,
          125.40533136019776,
          125.27336642149211,
          125.1374784877334,
          124.99765749168171,
          124.85389308675205,
          124.70617464338227,
          124.55449124527581,
          124.39883168551667,
          124.23918446255213,
          124.07553777604092,
          123.90787952256107,
          123.73619729117563,
          123.56047835884962,
          123.38070968571655,
          123.1968779101871,
          123.00896934389776,
          122.8169699664928,
          122.62086542023445,
          122.4206410044375,
          122.21628166972037,
          122.00777201206823,
          121.795096266702,
          121.57823830174588,
          121.35718161168764,
          121.1319093106243,
          120.90240412528529,
          120.66864838782675,
          120.43062402838761,
          120.18831256739988,
          119.94169510764439,
          119.69075232604183,
          119.43546446517145,
          119.17581132450503,
          118.91177225134761,
          118.64332613147316,
          118.37045137944315,
          118.09312592859726,
          117.81132722070235,
          117.52503219524756,
          117.23421727837022,
          116.9388583713999,
          116.6389308390033,
          116.33440949691591,
          116.02526859924171,
          115.71148182530479,
          115.39302226603346,
          115.0698624098577,
          114.74197412809886,
          114.40932865983095,
          114.0718965961898,
          113.72964786410728,
          113.38255170944385,
          113.0305766794947,
          112.67369060484035,
          112.31186058051222,
          111.94505294644291,
          111.57323326716764,
          111.19636631074226,
          110.81441602684158,
          110.42734552399912,
          110.0351170459475,
          109.6376919470161,
          109.23503066654034,
          108.82709270223397,
          108.41383658247342,
          107.99521983743924,
          107.57119896905719,
          107.14172941967823,
          106.70676553943129,
          106.26626055218094,
          105.82016652001575,
          105.36843430618967,
          104.91101353643347,
          104.4478525585472,
          103.97889840018001,
          103.50409672469686,
          103.02339178502409,
          102.53672637536047,
          102.04404178063102,
          101.54527772355216,
          101.04037230916967,
          100.52926196671868,
          100.01188138864549,
          99.48816346661937,
          98.9580392243494,
          98.42143774700851,
          97.87828610705111,
          97.32850928619528,
          96.77203009332257,
          96.2087690780297,
          95.63864443954463,
          95.0615719306978,
          94.47746475661344,
          93.8862334677593,
          93.28778584696191,
          92.68202678996361,
          92.06885817905936,
          91.4481787493131,
          90.81988394680903,
          90.18386577834526,
          89.54001265192363,
          88.88820920733109,
          88.22833613604253,
          87.56026998960296,
          86.88388297556612,
          86.19904273997818,
          85.50561213529484,
          84.80344897251,
          84.0924057561495,
          83.37232940064543,
          82.64306092644975,
          81.9044351340723,
          81.15628025403025,
          80.3984175704751,
          79.630661016011,
          78.85281673493552,
          78.06468261180999,
          77.26604776190032,
          76.45669197961087,
          75.63638514055476,
          74.80488655235773,
          73.96194424866135,
          73.10729422006791,
          72.24065957493073,
          71.3617496219244,
          70.47025886520154,
          69.56586590162904,
          68.64823220806002,
          67.71700080479498,
          66.77179477926096,
          65.81221565142849,
          64.83784155950562,
          63.848225240898344,
          62.84289177917749,
          61.821336082682535,
          60.78302005422155,
          59.72736940383171,
          58.653770047418675,
          57.561564022864566,
          56.45004484133073,
          55.31845217425492,
          54.16596575499319,
          52.99169834691083,
          51.79468759526732,
          50.573886536145544,
          49.32815247875989,
          48.056233903329485,
          46.75675491913563,
          45.42819669761097,
          44.068875120680474,
          42.67691364659605,
          41.25021006669865,
          39.78639536533723,
          38.28278223746546,
          36.7362998631999,
          35.143410122835505,
          33.499998289366125,
          31.801227897465598,
          30.041344144731095,
          28.293128716523263,
          26.633958326537964,
          25.063233700886148,
          23.57650636542346,
          22.169344832087244,
          20.837528587212102,
          19.57704973219225,
          18.384104542641897,
          17.25508458163523,
          16.18656793543125,
          15.175310646841051,
          14.21823838445664,
          13.312438373633269,
          12.455151607058983,
          11.643765345616545,
          10.875805915801648,
          10.148931805119439,
          9.460927053029138,
          8.80969493239863,
          8.193251912885446,
          7.6097218945939025,
          7.057330697111549,
          6.534400784720968,
          6.039346203657336,
          5.570667700927475,
          5.12694798597517,
          4.7068470863339,
          4.309097735164942,
          3.9325007126068283,
          3.57592004326525,
          3.238277928390653,
          2.9185492633567764,
          2.6157555566519854,
          2.3289580231933065,
          2.0572495650648936,
          1.7997452649098948,
          1.5555708863539557,
          1.3238487038295994,
          1.103679884699071,
          0.8941232450895802,
          0.6941743467295292,
          0.5027693590119694,
          0.3189322624049457,
          0.14254976916429213,
          -0.005347245443193467,
          -0.13599523795281987,
          -0.25187534877934165,
          -0.3669168189934537,
          -0.469412705738104,
          -0.5605460262233107,
          -0.6423805479600142,
          -0.7164821216351227,
          -0.7840207021684118,
          -0.8458999894358032,
          -0.9028421620552187,
          -0.9554450593214944,
          -1.004226601957737,
          -1.0495247347538665,
          -1.0919714102836184,
          -1.1322506206345848,
          -1.171727664742963,
          -1.2016492443790228,
          -1.2247840808177533,
          -1.2431487115911768,
          -1.2577085909011723,
          -1.2688653036252948,
          -1.2787093837133294,
          -1.2866106051543098,
          -1.294425111574189,
          -1.3013233557300288,
          -1.3067174369220924,
          -1.310046526185998,
          -1.3105860600129131,
          -1.3069733867557793,
          -1.298878884054745,
          -1.286591202880739,
          -1.271391538998726,
          -1.2532539253728239,
          -1.232059829436341,
          -1.207662534636477,
          -1.1798702138778596,
          -1.1484389201270333,
          -1.113064900868745,
          -1.073373395685048,
          -1.0289023445520087,
          -0.9790789492297537,
          -0.923186115212272,
          -0.8603151646443835,
          -0.7893039597582996,
          -0.7086805252231875,
          -0.6167343590249614,
          -0.512184765913483,
          -0.39597769894194423,
          -0.27136603931277237,
          -0.14034095182538164,
          -0.0029787084408726457,
          0.14127407634559616,
          0.29306504333944394,
          0.45302427036542275,
          0.621753964000343,
          0.7998366784797232,
          0.9878449365155522,
          1.1863493179454274,
          1.3959249846758908,
          1.6171570596181963,
          1.8506452236805233,
          2.097007775874979,
          2.3568853077136036,
          2.6309440831772473,
          2.919879181812074,
          3.2244174460239647,
          3.545320266684682,
          3.8833862388571307,
          4.239453718970904,
          4.6144033140662,
          5.009160332755467,
          5.4246972254519426,
          5.862036039187616,
          6.322250909392081,
          6.8064706085120354,
          7.315881168466827,
          7.851728591280525,
          8.415321660789724,
          9.008034865889742,
          9.631311444475543,
          10.286666556104192,
          10.97569058998266,
          11.700052614842635,
          12.461503975361216,
          13.261882040313726,
          14.103114106174147,
          14.987221460116453,
          15.916323605044148,
          16.892642649270392,
          17.91850786237454,
          18.99636039902041,
          20.12875819021427,
          21.318381002396208,
          22.568035662612075,
          23.880661448139463,
          25.25933563717393,
          26.707279217591317,
          28.227862749532573,
          29.824612378371203,
          31.410943662481177,
          32.95259728983964,
          34.45303376139453,
          35.91524494301013,
          37.34184041203228,
          38.735114138134925,
          40.09709674461189,
          41.42959701200948,
          42.73423523079223,
          44.01247029149458,
          45.26562190231881,
          46.494888972012205,
          47.70136494312827,
          48.88605067671815,
          50.04986535366388,
          51.19365575637673,
          52.31820421790143,
          53.424235466915526,
          54.51242255197326,
          55.583391993226186,
          56.6377282823006,
          57.67597782922957,
          58.69865243798184,
          59.70623237821334,
          60.69916910962834,
          61.67788770620942,
          62.64278902011888,
          63.59425161894511,
          64.53263352490993,
          65.45827378045439,
          66.37149386111729,
          67.27259895369298,
          68.16187911518584,
          69.03961032599838,
          69.90605544902586,
          70.7614651048262,
          71.60607847175454,
          72.44012401885205,
          73.26382017833475,
          74.07737596371396,
          74.88099153887768,
          75.67485874284982,
          76.4591615744152,
          77.2340766403358,
          77.99977357047625,
          78.75641540280758,
          79.50415894094186,
          80.24315508657874,
          80.97354914900399,
          81.69548113356477,
          82.40908601085704,
          83.1144939681949,
          83.81183064477783,
          84.50121735184412,
          85.18277127897387,
          85.85660568760397,
          86.52283009271858,
          87.18155043359494,
          87.83286923440681,
          88.47688575541903,
          89.11369613544498,
          89.74339352617986,
          90.36606821897645,
          90.98180776457849,
          91.59069708629079,
          92.19281858702128,
          92.78825225060116,
          93.37707573775512,
          93.95936447706512,
          94.53519175124615,
          95.1046287790277,
          95.66774479291414,
          96.22460711307511,
          96.77528121760218,
          97.31983080934799,
          97.8583178795497,
          98.39080276842596,
          98.91734422292228,
          99.43799945176717,
          99.95282417799223,
          100.46187268905707,
          100.96519788471292,
          101.46285132272777,
          101.95488326258884,
          102.44134270729236,
          102.92227744332031,
          103.39773407890047,
          103.86775808063894,
          104.33239380860856,
          104.79168454997227,
          105.24567255121528,
          105.69439904905474,
          106.13790430009409,
          106.57622760928182,
          107.0094073572335,
          107.43748102647196,
          107.86048522663599,
          108.27845571870729,
          108.69142743830163,
          109.09943451806556,
          109.50251030922331,
          109.90068740230791,
          110.29399764711735,
          110.68247217192805,
          111.06614140199838,
          111.44503507739473,
          111.81918227016861,
          112.18861140091218,
          112.5533502547194,
          112.91342599657833,
          113.26886518621714,
          113.61969379242761,
          113.96593720688655,
          114.30762025749655,
          114.64476722126507,
          114.97740183674034,
          115.30554731602108,
          115.62922635635778,
          115.94846115136129,
          116.26327340183296,
          116.57368432623157,
          116.8797146707905,
          117.18138471929882,
          117.4787143025581,
          117.77172280752724,
          118.06042918616646,
          118.34485196399153,
          118.62500924834912,
          118.90091873642216,
          119.1725977229751,
          119.44006310784876,
          119.70333140321218,
          119.96241874058113,
          120.21734087760994,
          120.46811320466507,
          120.7147507511871,
          120.95726819184878,
          121.19567985251484,
          121.42999971601029,
          121.66024142770377,
          121.88641830091136,
          122.10854332212536,
          122.3266291560761,
          122.54068815062868,
          122.75073234152174,
          122.95677345695226,
          123.15882292201081,
          123.35689186297101,
          123.55099111143888,
          123.74113120836442,
          123.92732240791996,
          124.10957468124874,
          124.28789772008733,
          124.46230094026521,
          124.63279348508439,
          124.79938422858255,
          124.96208177868199,
          125.12089448022827,
          125.27583041791995,
          125.42689741913338,
          125.57410305664328,
          125.71745465124292,
          125.85695927426569,
          125.99262375001031,
          126.1244546580709,
          126.25245833557534,
          126.37664087933224,
          126.49700814789009,
          126.61356576350812,
          126.7263191140426,
          126.83527335474827,
          126.94043340999822,
          127.04180397492208,
          127.13938951696399,
          127.23319427736348,
          127.32322227255717,
          127.40947729550581,
          127.49196291694507,
          127.57068248656269,
          127.64563913410218,
          127.7168357703939,
          127.78427508831537,
          127.84795956367935,
          127.90789145605359,
          127.96407280950926,
          128.0165054533017,
          128.0651910024827,
          128.1101308584438,
          128.15132620939386,
          128.1887780307677,
          128.2224870855698,
          128.25245392464973,
          128.27867888691262,
          128.30116209946286,
          128.31990347768215,
          128.33490272524125,
          128.34615933404663,
          128.35367258411992,
          128.35744154341296,
          128.35746506755513,
          128.3537417995358,
          128.34627016931947,
          128.3350483933941,
          128.3200744742529,
          128.30134619980805,
          128.27886114273664,
          128.25261665975853,
          128.22260989084518,
          128.18883775835843,
          128.15129696611987,
          128.10998399840875,
          128.06489511888907,
          128.01602636946316,
          127.96337356905299,
          127.9069323123066,
          127.84669796822956,
          127.7826656787405,
          127.71483035714847,
          127.64318668655262,
          127.5677291181618,
          127.48845186953243,
          127.40534892272491,
          127.3184140223753,
          127.2276406736819,
          127.13302214030439,
          127.03455144217456,
          126.93222135321619,
          126.82602439897249,
          126.71595285413925,
          126.60199874000155,
          126.48415382177198,
          126.36240960582792,
          126.23675733684588,
          126.10718799482997,
          125.97369229203247,
          125.83626066976406,
          125.69488329508951,
          125.54955005740803,
          125.40025056491334,
          125.2469741409315,
          125.089709820133,
          124.9284463446152,
          124.76317215985159,
          124.59387541050542,
          124.42054393610144,
          124.24316526655424,
          124.06172661754687,
          123.87621488575635,
          123.68661664392152,
          123.49291813574803,
          123.29510527064527,
          123.0931636182908,
          122.88707840301588,
          122.67683449800685,
          122.4624164193164,
          122.2438083196783,
          122.02099398211944,
          121.79395681336192,
          121.5626798370082,
          121.3271456865022,
          121.08733659785835,
          120.84323440215047,
          120.59482051775188,
          120.34207594231843,
          120.08498124450414,
          119.82351655540116,
          119.55766155969258,
          119.28739548650799,
          119.01269709997099,
          118.73354468942665,
          118.44991605933623,
          118.16178851882735,
          117.86913887088572,
          117.57194340117383,
          117.27017786646303,
          116.96381748266211,
          116.65283691242753,
          116.33721025233696,
          116.01691101960905,
          115.69191213835042,
          115.3621859253097,
          115.02770407511822,
          114.68843764499526,
          114.34435703889476,
          113.9954319910694,
          113.64163154902631,
          113.28292405584772,
          112.91927713184755,
          112.55065765553516,
          112.1770317438534,
          111.79836473165844,
          111.414621150406,
          111.02576470600692,
          110.63175825581222,
          110.23256378468697,
          109.82814238012857,
          109.41845420638263,
          109.00345847750766,
          108.58311342933644,
          108.15737629027818,
          107.72620325090341,
          107.28954943224879,
          106.84736885277628,
          106.39961439391567,
          105.94623776411656,
          105.48718946132966,
          105.02241873383346,
          104.55187353931542,
          104.07550050211272,
          103.59324486850906,
          103.10505045997924,
          102.6108596242643,
          102.11061318415278,
          101.60425038383497,
          101.09170883268689,
          100.57292444633235,
          100.0478313848182,
          99.51636198772823,
          98.97844670604654,
          98.43401403056832,
          97.88299041664044,
          97.32530020499743,
          96.76086553844085,
          96.18960627409,
          95.61143989091083,
          95.02628139220639,
          94.434043202726,
          93.83463506002317,
          93.22796389966089,
          92.61393373382906,
          91.99244552290227,
          91.3633970394248,
          90.72668272396484,
          90.08219353223043,
          89.42981677278459,
          88.76943593463666,
          88.10093050391964,
          87.42417576878847,
          86.73904261159211,
          86.04539728727946,
          85.3431011868967,
          84.63201058491944,
          83.91197636903412,
          83.18284375084023,
          82.44445195578376,
          81.69663389045067,
          80.93921578514576,
          80.17201680945206,
          79.39484865820509,
          78.60751510502165,
          77.80981152018774,
          77.00152434932835,
          76.18243054884692,
          75.35229697362405,
          74.51087971189452,
          73.65792336156466,
          72.79316024147585,
          71.9163095302447,
          71.02707632429589,
          70.12515060552367,
          69.21020610764141,
          68.28189906866601,
          67.33986685509053,
          66.38372644106556,
          65.41307272326608,
          64.42747664898046,
          63.42648313120956,
          62.409608720071525,
          61.3763389943982,
          60.32612563086338,
          59.25838310002171,
          58.17248492890294,
          57.06775945783255,
          55.94348500433838,
          54.7988843285558,
          53.633118271418745,
          52.44527840771736,
          51.2343785189356,
          49.99934464308491,
          48.73900339700274,
          47.45206818587959,
          46.13712280821375,
          44.79260182211797,
          43.41676684666361,
          42.00767770879709,
          40.563156980993874,
          39.08074593956868,
          37.557649234418406,
          35.99066448038268,
          34.37609136703637,
          32.70961241749445,
          30.986133655485215,
          29.199567177053872,
          27.48083170502767,
          25.85292535706356,
          24.312438318624928,
          22.85480819251611,
          21.475631766725073,
          20.170724862222883,
          18.936116602435252,
          17.768040312690456,
          16.662924381285237,
          15.617383308179916,
          14.628208992339076,
          13.692362287111425,
          12.806964844069485,
          11.969291258402711,
          11.176761523097237,
          10.42693379425631,
          9.717497466650098,
          9.046266554576636,
          8.411173370709218,
          7.810262492337805,
          7.2416850014807,
          6.703692981809485,
          6.19463425101911,
          5.712947302241188,
          5.257156420913913,
          4.825866935314831,
          4.417760547894933,
          4.031590681080849,
          3.6661777542834884,
          3.3204042891153493,
          2.99320971571915,
          2.6835847247267552,
          2.3905649748233966,
          2.1132239209218047,
          1.8506671285187009,
          1.6020152025667795,
          1.3664127859902395,
          1.1429732940344761,
          0.9307608341109346,
          0.7288520422550945,
          0.5362365529899517,
          0.3518743597742224,
          0.17497961250943603,
          0.006282364197192148,
          -0.1305609688060401,
          -0.2512427543069641,
          -0.3584419811941975,
          -0.464493086264552,
          -0.5591070592479559,
          -0.6431643096961956,
          -0.7188223472711667,
          -0.7872191839688629,
          -0.8496276590575277,
          -0.9067029534275344,
          -0.9590916353853911,
          -1.0073370653449272,
          -1.0519141372283047,
          -1.093274035021728,
          -1.1319232076114585,
          -1.1686475137017902,
          -1.2054294923857631,
          -1.2287441652357198,
          -1.2468119834709521,
          -1.2609204075791023,
          -1.271742673161476,
          -1.2794634912102274,
          -1.2861318977913336,
          -1.2922536150683344,
          -1.29768294699732,
          -1.3017498422536666,
          -1.3038933671820325,
          -1.3035011551735873,
          -1.29960525895488,
          -1.2900470095902186,
          -1.277093758510869,
          -1.260352396303243,
          -1.2408550497389101,
          -1.2184522391566575,
          -1.1929675283424321,
          -1.164207803874331,
          -1.131940497069637,
          -1.0958821679589823,
          -1.0556874495037596,
          -1.010934805432966,
          -0.9611068649464887,
          -0.905562701506335,
          -0.8434985895174858,
          -0.7738938013315078,
          -0.6954445949829547,
          -0.6065287551118905,
          -0.5054159431798881,
          -0.39137993745872296,
          -0.26655369936774714,
          -0.13428564898702386,
          0.0041950128724343345,
          0.14906857079124508,
          0.30114043526270207,
          0.4610218834626373,
          0.6293359736263228,
          0.8066923779444856,
          0.993681238371229,
          1.1908836716669071,
          1.3988798050506603,
          1.6182552510311998,
          1.8496064689346763,
          2.093545368465589,
          2.3507033849342887,
          2.621735166769491,
          2.907321961860785,
          3.2081747597457544,
          3.525037232292943,
          3.8586885098027577,
          4.209945826763269,
          4.579667071062524,
          4.968753268538235,
          5.378151033517651,
          5.808855013241684,
          6.261910351308096,
          6.738415192212852,
          7.239523246299426,
          7.766446431346132,
          8.320457604880884,
          8.902893398953186,
          9.515157167635257,
          10.158722055434644,
          10.835134194246198,
          11.546016035031272,
          12.293069819607606,
          13.078081197138339,
          13.90292298958562,
          14.769559109192908,
          15.680048630859673,
          16.636550021376998,
          17.641325527331954,
          18.69674572138543,
          19.805294207805414,
          20.969572485022365,
          22.192304963984153,
          23.476344138360872,
          24.82467590248896,
          26.24042501118789,
          27.72686067526136,
          29.287402285505053,
          30.918873940486353,
          32.502306791541706,
          34.041608406428956,
          35.54013403777382,
          37.000792527827784,
          38.426127172547254,
          39.81837846564969,
          41.17953348199458,
          42.51136524354043,
          43.815464461276314,
          45.09326539591601,
          46.346067126010716,
          47.57505118970276,
          48.781296333835975,
          49.96579093408854,
          51.12944352380407,
          52.27309177472452,
          53.39751020121266,
          54.503416804697,
          55.591478832665516,
          56.66231779345138,
          57.71651384203908,
          58.75460963149848,
          59.777113708195245,
          60.784503515693146,
          61.77722806156702,
          62.755710292631676,
          63.72034921696809,
          64.67152180526246,
          65.6095846991231,
          66.53487575000972,
          67.44771540904438,
          68.34840798515022,
          69.23724278658938,
          70.11449515896132,
          70.98042743101699,
          71.83528977819496,
          72.67932101254095,
          73.51274930661071,
          74.33579285803839,
          75.1486605006652,
          75.95155226743599,
          76.74465990968035,
          77.52816737687742,
          78.3022512605545,
          79.06708120557185,
          79.82282029170464,
          80.56962538812662,
          81.30764748313338,
          82.0370319912059,
          82.7579190393085,
          83.4704437341273,
          84.17473641179132,
          84.8709228714744,
          85.55912459414178,
          86.23945894759171,
          86.91203937883587,
          87.57697559477126,
          88.23437373200892,
          88.88433651665436,
          89.52696341475999,
          90.1623507741151,
          90.79059195798035,
          91.41177747132222,
          92.02599508006149,
          92.63332992380543,
          93.2338646224979,
          93.8276793773864,
          94.41485206667465,
          94.99545833620199,
          95.56957168546424,
          96.13726354926608,
          96.69860337527705,
          97.25365869773964,
          97.80249520756254,
          98.34517681901454,
          98.88176573321974,
          99.41232249864022,
          99.93690606872019,
          100.4555738568544,
          100.96838178882983,
          101.47538435288358,
          101.97663464750734,
          102.47218442712212,
          102.9620841457387,
          103.44638299871023,
          103.92512896267901,
          104.39836883381273,
          104.86614826441648,
          105.32851179800734,
          105.78550290292573,
          106.23716400456121,
          106.68353651625843,
          107.12466086897041,
          107.56057653971929,
          107.99132207892326,
          108.41693513664285,
          108.83745248779827,
          109.25291005640752,
          109.6633429388885,
          110.06878542647014,
          110.46927102675284,
          110.86483248445647,
          111.25550180139243,
          111.64131025569458,
          112.02228842034206,
          112.39846618100343,
          112.76987275323309,
          113.13653669904738,
          113.49848594290624,
          113.85574778712511,
          114.20834892674294,
          114.55631546386599,
          114.8996729215111,
          115.23844625696732,
          115.57265987469675,
          115.90233763879132,
          116.22750288500451,
          116.54817843237392,
          116.86438659445017,
          117.17614919014922,
          117.48348755423955,
          117.78642254748083,
          118.08497456642493,
          118.37916355289369,
          118.66900900314342,
          118.95452997672946,
          119.23574510508001,
          119.51267259979086,
          119.7853302606496,
          120.05373548340067,
          120.31790526725818,
          120.57785622217675,
          120.83360457588729,
          121.08516618070769,
          121.3325565201328,
          121.57579071521475,
          121.81488353073676,
          122.04984938119024,
          122.28070233655937,
          122.50745612791995,
          122.73012415285879,
          122.94871948071881,
          123.16325485767436,
          123.3737427116439,
          123.58019515704245,
          123.78262399938052,
          123.98104073971297,
          124.17545657894237,
          124.36588242198067,
          124.55232888177426,
          124.73480628319439,
          124.91332466679776,
          125.08789379246137,
          125.25852314289278,
          125.42522192702147,
          125.58799908327263,
          125.74686328272703,
          125.90182293216945,
          126.05288617702897,
          126.20006090421262,
          126.34335474483589,
          126.48277507685202,
          126.61832902758206,
          126.75002347614866,
          126.87786505581414,
          127.00186015622697,
          127.12201492557627,
          127.23833527265778,
          127.35082686885235,
          127.45949515001821,
          127.56434531829957,
          127.66538234385193,
          127.76261096648628,
          127.85603569723274,
          127.94566081982646,
          128.03149039211425,
          128.11352824738626,
          128.19177799563113,
          128.26624302471703,
          128.3369265014992,
          128.40383137285465,
          128.46696036664508,
          128.5263159926087,
          128.58190054318135,
          128.63371609424834,
          128.68176450582638,
          128.72604742267757,
          128.7665662748546,
          128.80332227817854,
          128.836316434649,
          128.8655495327874,
          128.89102214791325,
          128.91273464235394,
          128.93068716558813,
          128.94487965432265,
          128.95531183250347,
          128.96198321126013,
          128.96489308878432,
          128.9640405501416,
          128.959424467017,
          128.9510434973943,
          128.93889608516778,
          128.922980459687,
          128.90329463523477,
          128.87983641043607,
          128.85260336759998,
          128.82159287199173,
          128.7868020710361,
          128.74822789345066,
          128.7058670483084,
          128.65971602402922,
          128.60977108729944,
          128.5560282819181,
          128.4984834275701,
          128.4371321185241,
          128.3719697222551,
          128.30299137799022,
          128.23019199517665,
          128.15356625187042,
          128.0731085930449,
          127.98881322881792,
          127.90067413259546,
          127.80868503913105,
          127.71283944249909,
          127.61313059398036,
          127.50955149985836,
          127.40209491912421,
          127.2907533610885,
          127.1755190828983,
          127.0563840869568,
          126.93334011824393,
          126.80637866153533,
          126.67549093851758,
          126.54066790479683,
          126.40190024679899,
          126.25917837855778,
          126.11249243838895,
          125.96183228544695,
          125.80718749616103,
          125.64854736054826,
          125.48590087839938,
          125.31923675533413,
          125.14854339872322,
          124.97380891347201,
          124.79502109766278,
          124.61216743805113,
          124.42523510541226,
          124.23421094973297,
          124.03908149524428,
          123.8398329352896,
          123.63645112702474,
          123.42892158594215,
          123.21722948021623,
          123.00135962486236,
          122.78129647570414,
          122.55702412314261,
          122.32852628572077,
          122.09578630347652,
          121.85878713107661,
          121.61751133072485,
          121.37194106483564,
          121.1220580884657,
          120.86784374149454,
          120.60927894054521,
          120.34634417063607,
          120.07901947655311,
          119.80728445393349,
          119.53111824004839,
          119.25049950427511,
          118.96540643824578,
          118.6758167456606,
          118.3817076317528,
          118.08305579239149,
          117.77983740280828,
          117.4720281059328,
          117.15960300032127,
          116.84253662766186,
          116.52080295983926,
          116.19437538554072,
          115.86322669638426,
          115.52732907254868,
          115.18665406788502,
          114.84117259448657,
          114.4908549066945,
          114.13567058451427,
          113.7755885164171,
          113.41057688149924,
          113.04060313097003,
          112.66563396893861,
          112.28563533246736,
          111.90057237085783,
          111.51040942413417,
          111.11511000068576,
          110.71463675402953,
          110.30895145864947,
          109.89801498486952,
          109.48178727271139,
          109.06022730468874,
          108.63329307748351,
          108.20094157244911,
          107.76312872488033,
          107.31980939198702,
          106.87093731950421,
          106.41646510686752,
          105.95634417087757,
          105.4905247077732,
          105.01895565362689,
          104.5415846429715,
          104.05835796556012,
          103.56922052115543,
          103.0741157722371,
          102.57298569450883,
          102.06577072507804,
          101.55240970817262,
          101.03283983824957,
          100.50699660034012,
          99.97481370746425,
          99.43622303493638,
          98.8911545513697,
          98.33953624617318,
          97.78129405331923,
          97.21635177114348,
          96.64463097791905,
          96.06605094292851,
          95.48052853273383,
          94.88797811232118,
          94.28831144077107,
          93.68143756107544,
          93.06726268369192,
          92.44569006339053,
          91.8166198689105,
          91.17994904490251,
          90.53557116558571,
          89.88337627949771,
          89.22325074465978,
          88.55507705341645,
          87.8787336461405,
          87.19409471291684,
          86.501029982234,
          85.7994044956173,
          85.08907836703101,
          84.36990652575992,
          83.64173844134777,
          82.90441782902184,
          82.15778233386719,
          81.40166319182626,
          80.63588486538943,
          79.86026465160329,
          79.0746122597543,
          78.27872935577996,
          77.47240907011181,
          76.65543546525949,
          75.82758295899289,
          74.98861569846218,
          74.13828688000204,
          73.27633800868362,
          72.40249809088904,
          71.516482752272,
          70.61799327240908,
          69.70671552621414,
          68.78231882074881,
          67.84445461437534,
          66.89275510321329,
          65.92683165752014,
          64.94627308783944,
          63.950643717457595,
          62.93948123376331,
          61.9122942863669,
          60.86855979412298,
          59.8077199162762,
          58.72917863451533,
          57.63229788238709,
          56.5163931457903,
          55.38072844248628,
          54.224510568866044,
          53.0468824774628,
          51.84691561736807,
          50.62360102973041,
          49.37583893907315,
          48.10242651437003,
          46.80204338623279,
          45.473234390515735,
          44.114388853121355,
          42.72371551979558,
          41.29921194458895,
          39.83862674588127,
          38.33941256498153,
          36.798666734145144,
          35.2130554420999,
          33.57871535205003,
          31.891123801620743,
          30.144924236959223,
          28.368118355243876,
          26.680653444648573,
          25.08397634910463,
          23.573584977808107,
          22.144895458096027,
          20.793539831253028,
          19.51537243542428,
          18.306461079849477,
          17.163077548774197,
          16.081688256453386,
          15.05894513963837,
          14.091676823824134,
          13.176880085830232,
          12.311711628762819,
          11.49348017775117,
          10.719638900354601,
          9.987778151252787,
          9.295618537608242,
          8.641004298034622,
          8.021896985850262,
          7.4363694442116826,
          6.882600057568699,
          6.358867260656877,
          5.863544281529616,
          5.39509408966353,
          4.952064513157396,
          4.533083479992098,
          4.136854667701832,
          3.7621518851733065,
          3.4078168827601663,
          3.0727493860547916,
          2.755902174744247,
          2.456284653629466,
          2.172946711095465,
          1.9049740423425248,
          1.6514796318834941,
          1.4115934755323598,
          1.1844501116334358,
          0.9691733118775304,
          0.7648575844564264,
          0.5705486538318078,
          0.3852377110065782,
          0.20794245907283296,
          0.038191657664908306,
          -0.12210885171485368,
          -0.2483243181682151,
          -0.35969260319047597,
          -0.45878509020004876,
          -0.5564558884080042,
          -0.6436556071275932,
          -0.7213770401732266,
          -0.7911920496590238,
          -0.854311030981316,
          -0.9116581286671813,
          -0.9639595528764433,
          -1.0118030103394904,
          -1.0556802227124462,
          -1.0955666603522585,
          -1.1328336020304952,
          -1.1674764419164763,
          -1.2003668015872084,
          -1.2268827243101128,
          -1.246124436007253,
          -1.260742212173657,
          -1.2718367394200298,
          -1.2800031955598046,
          -1.285609737540571,
          -1.2900541958470075,
          -1.2942151901161045,
          -1.2973194647784867,
          -1.2987602499457271,
          -1.2979719062613881,
          -1.294252558652702,
          -1.2869355590522278,
          -1.2725424524454512,
          -1.2557333953266112,
          -1.2352824368075856,
          -1.2122127750121436,
          -1.1862858411396284,
          -1.1572766738364444,
          -1.1249583670464445,
          -1.0890706998185409,
          -1.0493047452332247,
          -1.0052894126467196,
          -0.9565753210615368,
          -0.902613246116794,
          -0.8427241610352806,
          -0.7760571624890367,
          -0.7015320180132679,
          -0.6177718059316301,
          -0.5230801246799793,
          -0.4157251944131363,
          -0.2952514246328758,
          -0.16425576215291346,
          -0.02608964821011788,
          0.11823377079843614,
          0.2690861787272829,
          0.4271463431341494,
          0.5931031002115178,
          0.7676088030599713,
          0.9512837540334916,
          1.1447278195176678,
          1.3485308935727627,
          1.5632622669002394,
          1.7895376614654692,
          2.0279690834999875,
          2.279164586720336,
          2.543765382190451,
          2.8224313081014407,
          3.115851454578651,
          3.424744774048648,
          3.7498631295409184,
          4.091994086543748,
          4.451963570086913,
          4.830638420331094,
          5.228928880270253,
          5.647791047340668,
          6.088229317454648,
          6.551298847157684,
          7.038108056215304,
          7.549821189740025,
          8.087660956433709,
          8.652911256360648,
          9.24692001031449,
          9.87110210013838,
          10.526942428486743,
          11.215999104820717,
          11.93990676365522,
          12.700380019931854,
          13.499217065654104,
          14.338303411280164,
          15.219615774770023,
          16.14522611985087,
          17.11730584516541,
          18.13813012468073,
          19.210082398550558,
          20.335659013611423,
          21.5174740102526,
          22.758264052224195,
          24.060893494246244,
          25.428359580413215,
          26.86379776556018,
          28.370487149747873,
          29.951856015157574,
          31.590123921604803,
          33.180051725938036,
          34.725560167144906,
          36.23001780977009,
          37.69634652614546,
          39.127102130155116,
          40.52453700531874,
          41.89064944042434,
          43.227222988196544,
          44.535858223474854,
          45.817998633290486,
          47.0749519210924,
          48.307907687409276,
          49.51795221827381,
          50.706080943659586,
          51.87320900280229,
          53.020180259196046,
          54.14777503667669,
          55.25671679330354,
          56.34767790743013,
          57.42128471732683,
          58.478121929725354,
          59.518736492050024,
          60.543641006638964,
          61.553316752025886,
          62.54821636564224,
          63.52876623358205,
          64.49536862593462,
          65.44840361031339,
          66.38823077135132,
          67.31519075989068,
          68.22960669222088,
          69.1317854168888,
          70.02201866422133,
          70.9005840916836,
          71.76774623648652,
          72.62375738539764,
          73.46885837046555,
          74.30327929829633,
          75.12724021960409,
          75.94095174496148,
          76.74461561199006,
          77.53842520863398,
          78.32256605664146,
          79.0972162589251,
          79.86254691407684,
          80.61872250096462,
          81.36590123603291,
          82.10423540566083,
          82.83387167569255,
          83.55495138004618,
          84.26761079011925,
          84.97198136654441,
          85.66818999470162,
          86.35635920526158,
          87.03660738091678,
          87.70904895035382,
          88.37379457042395,
          89.03095129738702,
          89.68062274802455,
          90.32290925135354,
          90.95790799160666,
          91.58571314309236,
          92.2064159974952,
          92.82010508413288,
          93.42686628364464,
          94.02678293554712,
          94.61993594006081,
          95.20640385457902,
          95.7862629851223,
          96.35958747309476,
          96.92644937763795,
          97.48691875385177,
          98.04106372713743,
          98.58895056389386,
          99.13064373878744,
          99.66620599879523,
          100.19569842421126,
          100.71918048678937,
          101.23671010518851,
          101.74834369786954,
          102.25413623358787,
          102.7541412796144,
          103.24841104780735,
          103.73699643865345,
          104.21994708338487,
          104.69731138427517,
          105.16913655320921,
          105.63546864861608,
          106.09635261085013,
          106.55183229609797,
          107.00195050888591,
          107.44674903325776,
          107.88626866268875,
          108.32054922879658,
          108.74962962890856,
          109.17354785253926,
          109.59234100683085,
          110.0060453410039,
          110.41469626986617,
          110.81832839642176,
          111.21697553362213,
          111.61067072529757,
          111.99944626630686,
          112.38333372193857,
          112.76236394659821,
          113.13656710181122,
          113.50597267357236,
          113.87060948906925,
          114.23050573280673,
          114.58568896215664,
          114.93618612235807,
          115.28202356098997,
          115.62322704193828,
          115.95982175887781,
          116.2918323482883,
          116.61928290202385,
          116.94219697945287,
          117.26059761918515,
          117.57450735040314,
          117.88394820381147,
          118.18894172222018,
          118.48950897077488,
          118.78567054684734,
          119.07744658959933,
          119.36485678923164,
          119.64792039592906,
          119.92665622851362,
          120.20108268281498,
          120.47121773976961,
          120.73707897325686,
          120.998683557682,
          121.25604827531455,
          121.50918952339013,
          121.75812332098442,
          122.00286531566572,
          122.24343078993462,
          122.47983466745748,
          122.71209151909925,
          122.94021556876363,
          123.16422069904633,
          123.3841204567057,
          123.59992805795909,
          123.8116563936078,
          124.01931803399711,
          124.22292523381624,
          124.42248993674254,
          124.61802377993459,
          124.8095380983787,
          124.99704392909288,
          125.18055201519238,
          125.3600728098201,
          125.53561647994665,
          125.70719291004195,
          125.8748117056233,
          126.03848219668244,
          126.19821344099424,
          126.3540142273109,
          126.50589307844378,
          126.65385825423597,
          126.79791775442823,
          126.93807932142005,
          127.07435044292916,
          127.20673835455152,
          127.3352500422233,
          127.45989224458796,
          127.5806714552692,
          127.6975939250533,
          127.81066566398069,
          127.91989244335039,
          128.0252797976372,
          128.126833026325,
          128.22455719565568,
          128.3184571402971,
          128.40853746492974,
          128.49480254575442,
          128.57725653192162,
          128.655903346884,
          128.73074668967308,
          128.8017900361005,
          128.869036639886,
          128.93248953371148,
          128.99215153020376,
          129.04802522284456,
          129.10011298681115,
          129.1484169797456,
          129.1929391424549,
          129.2336811995423,
          129.27064465996995,
          129.30383081755295,
          129.33324075138665,
          129.35887532620558,
          129.38073519267598,
          129.39882078762108,
          129.41313233417983,
          129.42366984189883,
          129.43043310675807,
          129.43342171113,
          129.43263502367225,
          129.42807219915363,
          129.41973217821345,
          129.40761368705407,
          129.3917152370665,
          129.37203512438825,
          129.34857142939384,
          129.32132201611728,
          129.29028453160566,
          129.25545640520428,
          129.21683484777188,
          129.17441685082616,
          129.12819918561817,
          129.07817840213542,
          129.02435082803316,
          128.96671256749207,
          128.90525950000236,
          128.8399872790733,
          128.7708913308664,
          128.69796685275242,
          128.62120881178967,
          128.5406119431238,
          128.45617074830682,
          128.36787949353433,
          128.27573220779993,
          128.1797226809647,
          128.07984446174052,
          127.97609085558624,
          127.86845492251327,
          127.75692947480088,
          127.6415070746179,
          127.5221800315493,
          127.3989404000259,
          127.27177997665436,
          127.14069029744603,
          127.0056626349417,
          126.86668799522984,
          126.72375711485618,
          126.5768604576216,
          126.4259882112656,
          126.27113028403238,
          126.1122763011167,
          125.94941560098606,
          125.78253723157626,
          125.61162994635616,
          125.43668220025896,
          125.25768214547556,
          125.07461762710628,
          124.88747617866687,
          124.69624501744441,
          124.5009110396988,
          124.3014608157051,
          124.09788058463167,
          123.8901562492494,
          123.67827337046657,
          123.46221716168351,
          123.24197248296178,
          123.01752383500164,
          122.7888553529213,
          122.55595079983178,
          122.31879356020015,
          122.0773666329943,
          121.83165262460126,
          121.58163374151205,
          121.32729178276378,
          121.06860813213154,
          120.80556375006029,
          120.53813916532786,
          120.2663144664289,
          119.99006929266992,
          119.7093828249645,
          119.42423377631704,
          119.13460038198404,
          118.84046038929988,
          118.54179104715438,
          118.23856909510896,
          117.93077075213624,
          117.61837170496929,
          117.30134709604398,
          116.97967151101834,
          116.65331896585181,
          116.3222628934258,
          115.98647612968696,
          115.64593089929282,
          115.30059880073878,
          114.95045079094446,
          114.59545716927573,
          114.23558756097816,
          113.87081089999594,
          113.50109541114878,
          113.12640859163838,
          112.74671719185386,
          112.36198719544437,
          111.97218379862494,
          111.57727138868007,
          111.1772135216273,
          110.77197289900072,
          110.36151134371286,
          109.9457897749498,
          109.52476818205263,
          109.09840559733519,
          108.66666006778524,
          108.22948862559285,
          107.78684725744625,
          107.33869087253241,
          106.88497326917468,
          106.42564710003637,
          105.96066383581442,
          105.48997372734249,
          105.01352576601734,
          104.53126764245704,
          104.0431457032936,
          103.54910490599568,
          103.04908877161043,
          102.54303933530592,
          102.03089709458703,
          101.5126009550495,
          100.98808817352683,
          100.45729429847422,
          99.92015310742367,
          99.37659654133023,
          98.8265546356185,
          98.26995544772241,
          97.70672498089644,
          97.13678710405979,
          96.56006346741587,
          95.97647341356993,
          95.38593388384521,
          94.78835931947445,
          94.18366155731697,
          93.57174971972256,
          92.95253009813253,
          92.32590602997278,
          91.69177776835626,
          91.05004234406945,
          90.40059341927257,
          89.7433211322903,
          89.07811193281535,
          88.40484840678288,
          87.72340909010639,
          87.03366827038724,
          86.3354957756257,
          85.62875674886614,
          84.91331140760224,
          84.18901478665096,
          83.45571646307016,
          82.71326026154772,
          81.9614839385217,
          81.20021884310488,
          80.42928955267479,
          79.64851348075173,
          78.85770045451693,
          78.05665225901686,
          77.24516214475048,
          76.4230142949399,
          75.58998324833108,
          74.74583327285221,
          73.89031768486154,
          73.02317810803078,
          72.14414366511821,
          71.25293009497074,
          70.34923878602936,
          69.43275571637571,
          68.50315028890927,
          67.56007404855032,
          66.60315926636744,
          65.63201737317323,
          64.64623722233927,
          63.645383158257516,
          62.62899286290168,
          61.596574948173355,
          60.547606255960446,
          59.48152882086073,
          58.39774644201888,
          57.29562080010526,
          56.17446704261968,
          55.03354874477196,
          53.87207213329903,
          52.689179435571276,
          51.483941184664296,
          50.255347270630025,
          49.002296476127135,
          47.72358416690486,
          46.41788771884322,
          45.08374914550563,
          43.71955423221973,
          42.323507268209845,
          40.89360017305896,
          39.42757440134207,
          37.92287342374156,
          36.376582736727094,
          34.78535310547809,
          33.14530086499421,
          31.451876200839983,
          29.699685719006503,
          27.93350953237029,
          26.257440220467206,
          24.672076903754427,
          23.172857116955058,
          21.755180699886463,
          20.4146682019933,
          19.147164875704732,
          17.94873144216702,
          16.815634329377538,
          15.744336101643773,
          14.731486157078786,
          13.773911723863007,
          12.868609175290596,
          12.012735675725265,
          11.203601163904505,
          10.438660675004176,
          9.715506999334067,
          9.031863672338382,
          8.385578287564625,
          7.774616121880573,
          7.1970540594214985,
          6.651074797925303,
          6.134961317500222,
          5.647091587485647,
          5.185933481815453,
          4.750039866050105,
          4.338043810455403,
          3.9486538723282862,
          3.5806493770030072,
          3.232875610592309,
          2.9042395745273994,
          2.593702611313728,
          2.300280400171597,
          2.0230185292995655,
          1.7610130979470362,
          1.5133827660604318,
          1.279263220887699,
          1.0577951174405993,
          0.8481091257778404,
          0.6493081097586731,
          0.4604492544308014,
          0.28054346534623664,
          0.10865560149767733,
          -0.05554367855976665,
          -0.20976699788100164,
          -0.33003532489267373,
          -0.43603195560733116,
          -0.5405740694640424,
          -0.6329391836157767,
          -0.7143342603014964,
          -0.7867468431702154,
          -0.8516741369202607,
          -0.9102266694609858,
          -0.9632537906078117,
          -1.0114243610225178,
          -1.0552794040003783,
          -1.0952700300127165,
          -1.1317907987070095,
          -1.1652227641368065,
          -1.1960274507695547,
          -1.225086228743135,
          -1.2460684937838933,
          -1.261254083179584,
          -1.2724450334707684,
          -1.2805492118553012,
          -1.2861105996275441,
          -1.2903180754851642,
          -1.2929573352168773,
          -1.2946371615863217,
          -1.2947146959417897,
          -1.2926392692977136,
          -1.2877823475369465,
          -1.2792043140180227,
          -1.2649618304935797,
          -1.2460792581016928,
          -1.2231293125899505,
          -1.1980665629637717,
          -1.170406644361521,
          -1.1399127769154034,
          -1.1065372047259467,
          -1.0697811026169395,
          -1.0288889495812894,
          -0.983901933259255,
          -0.9343886878936746,
          -0.8798374233177618,
          -0.8196215273423286,
          -0.752963385613245,
          -0.6788838525388393,
          -0.596136615445379,
          -0.5031481508504668,
          -0.39808911827086657,
          -0.27956803500496963,
          -0.14858502239101212,
          -0.008836598620792424,
          0.1372730828727017,
          0.2895961492415136,
          0.4487469716442359,
          0.6154465040043996,
          0.7903861001542639,
          0.9742164054282191,
          1.1675583691528355,
          1.3710154862979482,
          1.585183853447972,
          1.810642590174032,
          2.0480158889210944,
          2.297926979772825,
          2.560998203846337,
          2.837885454930847,
          3.12926502377018,
          3.4358435980131836,
          3.7583590205821884,
          4.097583281311874,
          4.454325265232385,
          4.829433373577527,
          5.2237980519601095,
          5.6383542602119805,
          6.074083915121759,
          6.532018334368814,
          7.013240706245677,
          7.518888606444001,
          8.050156579873008,
          8.60829880299108,
          9.194631839000522,
          9.810537496870298,
          10.45746580283044,
          11.136938091812457,
          11.85055022501103,
          12.599975938471406,
          13.38697032715022,
          14.213373467600256,
          15.081114181936282,
          15.992213944829622,
          16.948790934621737,
          17.953064228456135,
          19.007358140625247,
          20.114106702247568,
          21.2758582789261,
          22.495280321916887,
          23.775164246885474,
          25.118430431784958,
          26.5281333253509,
          28.007466653151038,
          29.55976870929935,
          31.188527717489844,
          32.81352877539781,
          34.391451257721734,
          35.926008930581695,
          37.420405915121655,
          38.87743167006899,
          40.299534118718974,
          41.68887680584985,
          43.04738417706843,
          44.3767778838224,
          45.67860621084914,
          46.95426816499531,
          48.205033371511036,
          49.43205864276937,
          50.63640188013733,
          51.819033819362666,
          52.98084801775012,
          54.12266939688001,
          55.245261590211236,
          56.34933329534095,
          57.435543792195425,
          58.50450775827256,
          59.5567994882464,
          60.59295660630836,
          61.613483344448525,
          62.61885344764845,
          63.609512757034125,
          64.58588151393805,
          65.54835642117273,
          66.49731249233791,
          67.43310471543472,
          68.35606955327799,
          69.26652630002657,
          70.16477831049309,
          71.05111411664555,
          71.92580844381384,
          72.78912313749416,
          73.64130801026788,
          74.48260161716735,
          75.31323196680813,
          76.13341717473354,
          76.9433660646607,
          77.74327872266448,
          78.53334700876499,
          79.31375502989098,
          80.08467957775609,
          80.846290534808,
          81.59875125107597,
          82.34221889445028,
          83.07684477666882,
          83.80277465705765,
          84.52014902586984,
          85.22910336888918,
          85.92976841480429,
          86.62227036671678,
          87.30673111902195,
          87.98326846078552,
          88.65199626663994,
          89.31302467613092,
          89.96646026236641,
          90.61240619074204,
          91.25096236845647,
          91.8822255854649,
          92.50628964746872,
          93.12324550148844,
          93.73318135452423,
          94.33618278576668,
          94.93233285278414,
          95.52171219208157,
          96.1043991143928,
          96.68046969504276,
          97.24999785968974,
          97.81305546573519,
          98.36971237966783,
          98.92003655058843,
          99.46409408014566,
          100.00194928909508,
          100.53366478068045,
          101.05930150102118,
          101.57891879667827,
          102.09257446955817,
          102.60032482930568,
          103.1022247433235,
          103.59832768455004,
          104.08868577711712,
          104.57334984000195,
          105.05236942877957,
          105.52579287557644,
          105.99366732731913,
          106.45603878236555,
          106.91295212560208,
          107.3644511620837,
          107.81057864929086,
          108.25137632807107,
          108.68688495233037,
          109.11714431753495,
          109.54219328808087,
          109.96206982358594,
          110.37681100415408,
          110.78645305466094,
          111.19103136810622,
          111.59058052807528,
          111.98513433035048,
          112.37472580371139,
          112.75938722995971,
          113.13915016320267,
          113.51404544842866,
          113.88410323940506,
          114.24935301592771,
          114.60982360044987,
          114.96554317411702,
          115.31653929223165,
          115.66283889917358,
          116.00446834279552,
          116.34145338831833,
          116.67381923174415,
          117.00159051280716,
          117.32479132748104,
          117.64344524006034,
          117.95757529483178,
          118.26720402735197,
          118.57235347534679,
          118.8730451892465,
          119.1693002423702,
          119.46113924077305,
          119.74858233276873,
          120.03164921813858,
          120.31035915703968,
          120.58473097862178,
          120.85478308936382,
          121.12053348114043,
          121.38199973902697,
          121.63919904885293,
          121.89214820451176,
          122.14086361503593,
          122.38536131144474,
          122.62565695337243,
          122.8617658354842,
          123.09370289368655,
          123.32148271113894,
          123.5451195240732,
          123.76462722742616,
          123.98001938029223,
          124.19130921120048,
          124.39850962322254,
          124.60163319891562,
          124.80069220510593,
          124.99569859751738,
          125.18666402524966,
          125.3735998351102,
          125.5565170758041,
          125.73542650198604,
          125.91033857817787,
          126.08126348255564,
          126.24821111060932,
          126.41119107867888,
          126.5702127273698,
          126.72528512485071,
          126.87641707003677,
          127.02361709566085,
          127.16689347123594,
          127.30625420591088,
          127.44170705122183,
          127.57325950374226,
          127.70091880763347,
          127.82469195709731,
          127.94458569873449,
          128.0606065338087,
          128.17276072041994,
          128.28105427558788,
          128.38549297724768,
          128.48608236615894,
          128.58282774773048,
          128.67573419376149,
          128.76480654410108,
          128.85004940822694,
          128.93146716674508,
          129.00906397281125,
          129.08284375347523,
          129.15281021094975,
          129.21896682380373,
          129.2813168480823,
          129.3398633183529,
          129.39460904867988,
          129.44555663352673,
          129.4927084485881,
          129.53606665155118,
          129.57563318278775,
          129.61140976597682,
          129.6433979086588,
          129.6715989027215,
          129.6960138248183,
          129.71664353671864,
          129.73348868559145,
          129.74654970422145,
          129.75582681115864,
          129.7613200108012,
          129.76302909341143,
          129.76095363506514,
          129.75509299753452,
          129.7454463281041,
          129.73201255931983,
          129.7147904086712,
          129.69377837820562,
          129.6689747540759,
          129.64037760601914,
          129.6079847867678,
          129.57179393139143,
          129.53180245656986,
          129.48800755979602,
          129.44040621850857,
          129.3889951891535,
          129.33377100617383,
          129.2747299809269,
          129.21186820052824,
          129.14518152662117,
          129.0746655940711,
          129.0003158095839,
          128.92212735024663,
          128.8400951619901,
          128.75421395797167,
          128.66447821687717,
          128.5708821811407,
          128.47341985508038,
          128.3720850029495,
          128.26687114690054,
          128.1577715648608,
          128.04477928831835,
          127.92788710001557,
          127.8070875315492,
          127.6823728608746,
          127.55373510971187,
          127.42116604085223,
          127.28465715536193,
          127.1441996896814,
          126.9997846126174,
          126.85140262222512,
          126.69904414257802,
          126.5426993204222,
          126.38235802171253,
          126.21800982802736,
          126.04964403285865,
          125.87724963777416,
          125.70081534844813,
          125.52032957055694,
          125.33578040553554,
          125.14715564619138,
          124.95444277217085,
          124.75762894527446,
          124.55670100461617,
          124.35164546162179,
          124.14244849486201,
          123.92909594471459,
          123.71157330785037,
          123.4898657315377,
          123.26395800775919,
          123.03383456713472,
          122.79947947264463,
          122.56087641314595,
          122.31800869667505,
          122.07085924352928,
          121.81941057912013,
          121.56364482658977,
          121.30354369918291,
          121.03908849236507,
          120.77026007567824,
          120.49703888432458,
          120.21940491046797,
          119.93733769424313,
          119.6508163144614,
          119.35981937900175,
          119.06432501487511,
          118.76431085794931,
          118.45975404232173,
          118.1506311893257,
          117.83691839615624,
          117.51859122410015,
          117.19562468635426,
          116.86799323541523,
          116.53567075002351,
          116.19863052164284,
          115.85684524045594,
          115.51028698085604,
          115.15892718641304,
          114.80273665429114,
          114.44168551909502,
          114.07574323611888,
          113.70487856397247,
          113.32905954655608,
          112.94825349435531,
          112.56242696502501,
          112.17154574322925,
          111.77557481970359,
          111.37447836950285,
          110.96821972939622,
          110.5567613743691,
          110.14006489318872,
          109.71809096298814,
          109.2907993228205,
          108.85814874613263,
          108.42009701210394,
          107.97660087579341,
          107.5276160370338,
          107.07309710800871,
          106.61299757944363,
          106.1472697853386,
          105.67586486616463,
          105.19873273044159,
          104.71582201460963,
          104.22708004110078,
          103.73245277451075,
          103.23188477576475,
          102.7253191541635,
          102.2126975171881,
          101.69395991793401,
          101.16904480003534,
          100.63788893993062,
          100.10042738631087,
          99.55659339657925,
          99.00631837013862,
          98.44953177831076,
          97.88616109067493,
          97.31613169759866,
          96.73936682871535,
          96.15578746708476,
          95.56531225875108,
          94.96785741739133,
          94.36333662372165,
          93.75166091930136,
          93.13273859434602,
          92.5064750691271,
          91.87277276850055,
          91.23153098906616,
          90.58264575841788,
          89.92600968589525,
          89.26151180419471,
          88.58903740113996,
          87.90846784084646,
          87.21968037344296,
          86.52254793243289,
          85.81693891868963,
          85.10271696998137,
          84.37974071481008,
          83.64786350922574,
          82.90693315513924,
          82.15679159850222,
          81.39727460554727,
          80.62821141508653,
          79.84942436464532,
          79.06072848795655,
          78.26193108105949,
          77.45283123392362,
          76.63321932415302,
          75.80287646890893,
          74.96157393071103,
          74.10907247223055,
          73.24512165456073,
          72.36945907272444,
          71.48180952134346,
          70.58188408242282,
          69.66937912607706,
          68.7439752137106,
          67.80533589162587,
          66.85310636122799,
          65.88691200986695,
          64.90635678384085,
          63.911021382097374,
          62.900461245606195,
          61.87420431310849,
          60.83174850881585,
          59.7725589214244,
          58.69606462626882,
          57.6016550932281,
          56.48867611167729,
          55.356425149791036,
          54.20414604810462,
          53.03102292545241,
          51.83617314792143,
          50.61863917653327,
          49.37737906461204,
          48.11125531794504,
          46.81902175535115,
          45.499307907764155,
          44.150600361328934,
          42.771220271185804,
          41.35929602835447,
          39.91272972376822,
          38.42915557755151,
          36.90588782072639,
          35.339854524081304,
          33.72751239209528,
          32.06473529063035,
          30.34666576113348,
          28.56751311270175,
          26.846688992170115,
          25.21772320665383,
          23.67760963333777,
          22.22167465729159,
          20.845388543356233,
          19.544450303434253,
          18.31478233627691,
          17.15252050632005,
          16.054004205883338,
          15.015766681564983,
          14.034525668493048,
          13.10717435509631,
          12.230772691773169,
          11.40253905036567,
          10.619842236888722,
          9.880193855238797,
          9.18124101707117,
          8.520759389536725,
          7.896646570719253,
          7.306915779682198,
          6.749689845607008,
          6.223195477533685,
          5.725757792383161,
          5.255795074292766,
          4.811813732693187,
          4.392403418551708,
          3.9962322488685267,
          3.622042078012044,
          3.268643739613308,
          2.9349121664186555,
          2.6197812754404644,
          2.3222384833231122,
          2.041318690170448,
          1.7760975363193852,
          1.5256836900103021,
          1.28920985440348,
          1.0658220817002875,
          0.8546668758242187,
          0.6548756441620257,
          0.4655472361704533,
          0.2857355774469885,
          0.11450074076922061,
          -0.04881309574816141,
          -0.2039281883139667,
          -0.32974041636651896,
          -0.43995301422184036,
          -0.5371233923156317,
          -0.6325662089347058,
          -0.7169442305195947,
          -0.7913578285435178,
          -0.8575288025194344,
          -0.9167626997573828,
          -0.9700380667754431,
          -1.0181090463616367,
          -1.0615718844534938,
          -1.1009090067569582,
          -1.1365214374027786,
          -1.1687586242440717,
          -1.197960982906667,
          -1.2245678136884581,
          -1.2495356186365174,
          -1.2646083050374117,
          -1.275222947088514,
          -1.2825946537223056,
          -1.2874161652194245,
          -1.29019659915775,
          -1.2918568401387254,
          -1.2923939899588375,
          -1.2914622475417121,
          -1.2885187848953514,
          -1.2830077728466238,
          -1.2741967075378526,
          -1.2608348399542022,
          -1.2399649312412153,
          -1.2166679067412007,
          -1.189729575590195,
          -1.1606188853793284,
          -1.1288630095375962,
          -1.094121540111466,
          -1.0561073604378288,
          -1.014521066564231,
          -0.9690244634026758,
          -0.9192225008104615,
          -0.8646448906296318,
          -0.804723375072215,
          -0.7387611968560789,
          -0.6658908320482616,
          -0.5852710925826784,
          -0.49514232009575043,
          -0.3943071880776947,
          -0.2805754818786973,
          -0.15260154080822733,
          -0.0132116452009444,
          0.1337727084536085,
          0.2868414318154943,
          0.4461629644550685,
          0.6125713641640302,
          0.7867953081192207,
          0.9695630310714883,
          1.1614785488453694,
          1.363174965543507,
          1.575250459754321,
          1.7983076288645483,
          2.0329505334250273,
          2.2797913290267844,
          2.539455521332766,
          2.8125865368399583,
          3.09984978265568,
          3.4019363130963263,
          3.719566181391073,
          4.053491534426469,
          4.404499498690936,
          4.773414900792585,
          5.161102862854982,
          5.568471310736418,
          5.996473429377969,
          6.446110097039919,
          6.918432325958074,
          7.414543733360068,
          7.93560306333724,
          8.482826776843584,
          9.057491724130408,
          9.660937911643787,
          10.294571373124361,
          10.95986715317526,
          11.65837240996907,
          12.391709642295876,
          13.161580045751148,
          13.969767001213766,
          14.81813969842407,
          15.708656896353913,
          16.64337082104105,
          17.62443120105922,
          18.65408943962743,
          19.73470292091447,
          20.868739447061852,
          22.058781801308392,
          23.30753243019609,
          24.61781823712059,
          25.992595476003647,
          27.434954732665755,
          28.94812597930538,
          30.53548368380281,
          32.20055195418186,
          33.816341944722666,
          35.385855821181515,
          36.91267337680559,
          38.39989216751928,
          39.85021580197598,
          41.26602225825214,
          42.64941751926078,
          44.00227823154555,
          45.32628603134628,
          46.6229554576944,
          47.89365686839725,
          49.139635418007785,
          50.362026900268695,
          51.56187107029355,
          52.740122923331974,
          53.89766230338901,
          55.03530213659516,
          56.15379552430803,
          57.253841884674344,
          58.33609229536102,
          59.4011541618768,
          60.4495953135196,
          61.4819476111343,
          62.49871013653734,
          63.500352021892006,
          64.4873149679035,
          65.46001549201515,
          66.41884694145982,
          67.36418130079824,
          68.29637081923624,
          69.2157494793959,
          70.12263432618147,
          71.0173266718335,
          71.90011319110637,
          72.77126691867781,
          73.63104815934565,
          74.47970532023675,
          75.317475673115,
          76.14458605389785,
          76.96125350564525,
          77.76768587055635,
          78.56408233587547,
          79.35063393805795,
          80.12752402906746,
          80.89492870825559,
          81.6530172229059,
          82.40195234020398,
          83.14189069310714,
          83.87298310233962,
          84.59537487651409,
          85.30920609218612,
          86.01461185547139,
          86.71172254670243,
          87.40066404946049,
          88.08155796519674,
          88.75452181454591,
          89.41966922633557,
          90.07711011520533,
          90.72695084867351,
          91.36929440441143,
          92.00424051842548,
          92.63188582478598,
          93.25232398749054,
          93.86564582500057,
          94.47193942794557,
          95.07129027045256,
          95.66378131552115,
          96.2494931148309,
          96.82850390333903,
          97.40088968900109,
          97.96672433791868,
          98.5260796551988,
          99.07902546178771,
          99.62562966752277,
          100.16595834062844,
          100.70007577386842,
          101.22804454754761,
          101.74992558954722,
          102.26577823256346,
          102.77566026870664,
          103.27962800160971,
          103.77773629618378,
          104.27003862614964,
          104.75658711946548,
          105.23743260176445,
          105.71262463790738,
          106.18221157174975,
          106.64624056421547,
          107.1047576297656,
          107.55780767134335,
          108.00543451387136,
          108.44768093637585,
          108.88458870280371,
          109.31619859159679,
          109.74255042408521,
          110.16368309175452,
          110.57963458244164,
          110.99044200550995,
          111.39614161605094,
          111.79676883815767,
          112.19235828731243,
          112.58294379192918,
          112.96855841408876,
          113.34923446950282,
          113.72500354674031,
          114.0958965257494,
          114.46194359570529,
          114.82317427221247,
          115.17961741388928,
          115.53130123836107,
          115.87825333768647,
          116.22050069324047,
          116.5580696900764,
          116.89098613078853,
          117.21927524889487,
          117.54296172175951,
          117.86206968307391,
          118.17662273491277,
          118.48664395938167,
          118.79215592987354,
          119.09318072194664,
          119.38973992384051,
          119.68185464664235,
          119.96954553411715,
          120.25283277221362,
          120.53173609825924,
          120.80627480985366,
          121.07646777347229,
          121.3423334327911,
          121.60388981674092,
          121.86115454730205,
          122.11414484704721,
          122.36287754644222,
          122.60736909091173,
          122.84763554767916,
          123.0836926123865,
          123.31555561550363,
          123.54323952853139,
          123.76675897000742,
          123.98612821131904,
          124.20136118233081,
          124.41247147683164,
          124.61947235780744,
          124.82237676254402,
          125.02119730756627,
          125.2159462934176,
          125.40663570928531,
          125.59327723747474,
          125.7758822577386,
          125.9544618514635,
          126.12902680571952,
          126.2995876171751,
          126.46615449588195,
          126.62873736893225,
          126.78734588399294,
          126.94198941271912,
          127.09267705405026,
          127.23941763739143,
          127.3822197256835,
          127.52109161836391,
          127.65604135422073,
          127.78707671414337,
          127.91420522377115,
          128.0374341560426,
          128.1567705336474,
          128.2722211313833,
          128.38379247841962,
          128.4914908604696,
          128.59532232187271,
          128.69529266758968,
          128.79140746511064,
          128.8836720462791,
          128.9720915090322,
          129.0566707190594,
          129.13741431138058,
          129.21432669184446,
          129.28741203854963,
          129.3566743031879,
          129.4221172123122,
          129.4837442685291,
          129.54155875161769,
          129.59556371957484,
          129.64576200958876,
          129.69215623894016,
          129.73474880583333,
          129.77354189015622,
          129.80853745417127,
          129.83973724313674,
          129.86714278585984,
          129.890755395181,
          129.9105761683907,
          129.92660598757834,
          129.93884551991428,
          129.94729521786408,
          129.95195531933658,
          129.95282584776436,
          129.9499066121182,
          129.94319720685414,
          129.93269701179418,
          129.91840519193977,
          129.90032069721872,
          129.8784422621644,
          129.852768405528,
          129.82329742982245,
          129.7900274207989,
          129.75295624685447,
          129.71208155837084,
          129.66740078698385,
          129.61891114478297,
          129.56660962343997,
          129.51049299326675,
          129.450557802201,
          129.3868003747191,
          129.31921681067553,
          129.2478029840679,
          129.1725545417263,
          129.09346690192666,
          129.01053525292602,
          128.92375455141968,
          128.83311952091816,
          128.73862465004308,
          128.64026419074068,
          128.53803215641108,
          128.43192231995232,
          128.32192821171762,
          128.2080431173834,
          128.09026007572737,
          127.96857187631412,
          127.8429710570869,
          127.71344990186276,
          127.58000043772994,
          127.44261443234444,
          127.30128339112426,
          127.15599855433811,
          127.00675089408688,
          126.85353111117456,
          126.69632963186648,
          126.53513660453149,
          126.36994189616556,
          126.20073508879328,
          126.02750547574445,
          125.85024205780188,
          125.66893353921733,
          125.48356832359171,
          125.29413450961549,
          125.10061988666573,
          124.90301193025526,
          124.70129779732966,
          124.49546432140757,
          124.28549800755947,
          124.07138502722019,
          123.85311121282963,
          123.63066205229651,
          123.40402268327954,
          123.17317788727996,
          122.93811208353937,
          122.69880932273642,
          122.45525328047572,
          122.2074272505618,
          121.95531413805082,
          121.6988964520727,
          121.438156298415,
          121.17307537186088,
          120.90363494827187,
          120.62981587640675,
          120.35159856946626,
          120.06896299635457,
          119.78188867264608,
          119.49035465124713,
          119.1943395127411,
          118.89382135540431,
          118.58877778488089,
          118.27918590350247,
          117.96502229923962,
          117.64626303426991,
          117.3228836331476,
          116.99485907055843,
          116.66216375864353,
          116.32477153387383,
          115.98265564345664,
          115.63578873125542,
          115.28414282320112,
          114.92768931217452,
          114.56639894233584,
          114.20024179287844,
          113.82918726118099,
          113.45320404533135,
          113.07226012599459,
          112.68632274759537,
          112.295358398783,
          111.89933279214739,
          111.49821084314988,
          111.09195664823326,
          110.68053346207132,
          110.26390367391794,
          109.8420287830108,
          109.41486937298563,
          108.98238508525063,
          108.5445345912707,
          108.10127556370622,
          107.6525646463484,
          107.19835742279031,
          106.7386083837676,
          106.27327089309948,
          105.80229715215684,
          105.32563816277843,
          104.84324368855198,
          104.35506221437065,
          103.86104090417088,
          103.36112555674967,
          102.85526055955431,
          102.34338884032825,
          101.82545181649118,
          101.30138934212046,
          100.77113965239396,
          100.23463930534317,
          99.69182312075446,
          99.14262411604597,
          98.58697343893259,
          98.02480029668057,
          97.45603188173598,
          96.88059329349501,
          96.29840745596881,
          95.70939503107218,
          95.1134743272476,
          94.51056120311127,
          93.90056896578275,
          93.28340826353225,
          92.65898697234913,
          92.02721007600171,
          91.38797953912125,
          90.74119417280413,
          90.0867494921799,
          89.42453756534488,
          88.75444685300633,
          88.07636203812285,
          87.39016384475879,
          86.69572884529872,
          85.99292925508412,
          85.28163271344408,
          84.561702049991,
          83.83299503493757,
          83.09536411206382,
          82.34865611282369,
          81.59271194991814,
          80.82736628848302,
          80.05244719283944,
          79.26777574652372,
          78.47316564305811,
          77.66842274462954,
          76.85334460551186,
          76.02771995668814,
          75.19132814769841,
          74.34393854124374,
          73.48530985550988,
          72.61518944852311,
          71.73331253809867,
          70.83940135007155,
          69.93316418649361,
          69.01429440430378,
          68.08246929361239,
          67.13734884313281,
          66.17857437840986,
          65.20576705627029,
          64.2185261962847,
          63.21642742690056,
          62.199020620163495,
          61.16582758446279,
          60.116339479329206,
          59.050013909771884,
          57.96627164967684,
          56.86449293404244,
          55.7440132478328,
          54.604118524370826,
          53.444039647679155,
          52.26294612993364,
          51.05993880581233,
          49.83404134808465,
          48.5841903606738,
          47.30922374305795,
          46.007866938225604,
          44.678716568408674,
          43.32022081836187,
          41.93065573036941,
          40.50809630682067,
          39.05038094267503,
          37.555067181928536,
          36.0193760320809,
          34.44012095546176,
          32.81361598472435,
          31.135554843166403,
          29.40084890089147,
          27.627443699270234,
          25.944247464351342,
          24.35303202155076,
          22.849188605575744,
          21.42801591953004,
          20.085038413093724,
          18.816012749496824,
          17.616918112313147,
          16.48394588534277,
          15.413489566361026,
          14.402134994417045,
          13.446650916620252,
          12.543979910957164,
          11.691229673441779,
          10.885664672763951,
          10.124698171226694,
          9.405884607481863,
          8.726912333346439,
          8.085596694796614,
          7.47987344492018,
          6.9077924740754835,
          6.367511840052148,
          5.85729207804739,
          5.3754907662740745,
          4.920557318201102,
          4.491027966476727,
          4.0855208953350735,
          3.7027314687001147,
          3.341427489172816,
          3.0004444085519713,
          2.678680393871904,
          2.375091133959051,
          2.088684249325495,
          1.8185131427883152,
          1.5636700945178028,
          1.3232783576582468,
          1.0964829392897841,
          0.8824396550442334,
          0.6803019849360029,
          0.4892055687528708,
          0.30825237221643365,
          0.1365242242305201,
          -0.026891194261415455,
          -0.18245394648128158,
          -0.3284861047888601,
          -0.443260348416418,
          -0.5438612567605389,
          -0.6326852141314997,
          -0.7195402923598975,
          -0.7963161958535876,
          -0.8640142198168936,
          -0.9241284240441515,
          -0.9777990646038176,
          -1.0258883889630057,
          -1.0690645115990083,
          -1.1078561898651864,
          -1.1426894609715288,
          -1.1739147939965067,
          -1.2018327292958813,
          -1.2267340153302377,
          -1.2490185183926406,
          -1.2659224398608504,
          -1.276824043292314,
          -1.2839581840109124,
          -1.2883050435143055,
          -1.2905233866447423,
          -1.2912167106173345,
          -1.2909483520423009,
          -1.28941292655327,
          -1.2860705613055612,
          -1.280425614266165,
          -1.2719078648413826,
          -1.2597017092119562,
          -1.2423157628647328,
          -1.2160994247680506,
          -1.1890012019911096,
          -1.1584557128678583,
          -1.1257991820343585,
          -1.0905142945887358,
          -1.0522292152399677,
          -1.0106282125478054,
          -0.9653857161865137,
          -0.9162573106975811,
          -0.8627114492924478,
          -0.8042496940843302,
          -0.7402710081579574,
          -0.670039210369449,
          -0.5926377702626242,
          -0.506908821178481,
          -0.4117716910794532,
          -0.3050923004935045,
          -0.185043181473148,
          -0.05110428706969387,
          0.0939467838345828,
          0.24644793289423905,
          0.40498710142746097,
          0.5699228902317975,
          0.7420065204484408,
          0.9219903745452309,
          1.110576894859388,
          1.3084252506126457,
          1.5161657867787484,
          1.734412703765979,
          1.9637740295039223,
          2.2048594654082256,
          2.45828675045339,
          2.7246870090278317,
          3.0047093834387515,
          3.299025138795128,
          3.6083313596312414,
          3.9333543191822806,
          4.27485258190214,
          4.633619890413615,
          5.010487881997685,
          5.40632867721207,
          5.822057379384431,
          6.258634520599614,
          6.7170684861033925,
          7.198417944961511,
          7.703794310695566,
          8.234364252718477,
          8.791352275049368,
          9.376043376723207,
          9.989785805281057,
          10.633993912888892,
          11.310151122966749,
          12.019813013231996,
          12.764610520392836,
          13.546253270515093,
          14.366533037532747,
          15.227327332425686,
          16.130603123593158,
          17.078420689146434,
          18.072937599454832,
          19.116412828642265,
          20.211210991081053,
          21.35980669859175,
          22.564789031417842,
          23.828866115149186,
          25.154869793046217,
          26.54576038071737,
          28.004631487805163,
          29.534714888662613,
          31.13938542040185,
          32.80560327025457,
          34.42135369362739,
          35.99079534852929,
          37.517494645708474,
          39.004539958549266,
          40.45462870295607,
          41.87013481520649,
          43.25316179648074,
          44.60558494956962,
          45.929085399748104,
          47.225177784867945,
          48.49523300692003,
          49.740497087842954,
          50.962106920629964,
          52.16110352287175,
          53.33844326374782,
          54.495007433496696,
          55.63161044715524,
          56.7490069152476,
          57.8478977684381,
          58.92893558756676,
          59.992729262515695,
          61.039848081198095,
          62.070825332286155,
          63.08616149109913,
          64.0863270465945,
          65.07176501807216,
          66.04289320256744,
          67.0001061876276,
          67.9437771589799,
          68.87425952828423,
          69.79188840256866,
          70.69698191392997,
          71.58984242554274,
          72.47075762787627,
          73.34000153719894,
          74.1978354069024,
          75.04450856085218,
          75.88025915683782,
          76.70531488722254,
          77.5198936230474,
          78.32420400711896,
          79.11844600097889,
          79.90281139010183,
          80.67748425119156,
          81.44264138502471,
          82.19845271792391,
          82.94508167462065,
          83.68268552498378,
          84.41141570683716,
          85.13141812687084,
          85.84283344145064,
          86.54579731895925,
          87.24044068514456,
          87.92688995281387,
          88.60526723708803,
          89.27569055731985,
          89.9382740266814,
          90.59312803033693,
          91.24035939303674,
          91.88007153689676,
          92.512364630063,
          93.13733572690225,
          93.75507890030616,
          94.36568536664896,
          94.9692436038955,
          95.56583946331666,
          96.15555627523244,
          96.73847494917291,
          97.31467406881464,
          97.8842299820242,
          98.44721688631533,
          99.00370691000549,
          99.55377018933422,
          100.09747494178704,
          100.63488753585285,
          101.16607255742638,
          101.69109287305042,
          102.21000969018145,
          102.72288261464922,
          103.2297697054686,
          103.73072752715164,
          104.22581119965902,
          104.71507444611952,
          105.19856963843851,
          105.67634784090991,
          106.14845885193529,
          106.6149512439519,
          107.07587240166119,
          107.53126855864649,
          107.98118483246093,
          108.42566525826321,
          108.86475282107459,
          109.29848948672361,
          109.72691623154462,
          110.15007307088942,
          110.56799908650943,
          110.98073245286284,
          111.38831046239572,
          111.79076954984725,
          112.18814531562259,
          112.5804725482767,
          112.96778524614972,
          113.35011663819175,
          113.72749920401341,
          114.09996469319627,
          114.46754414389599,
          114.83026790076808,
          115.18816563224607,
          115.54126634719982,
          115.8895984109994,
          116.23318956101038,
          116.57206692154325,
          116.90625701828009,
          117.23578579219934,
          117.56067861301975,
          117.88096029218124,
          118.19665509538305,
          118.50778675469479,
          118.81437848025814,
          119.1164529715947,
          119.41403242853505,
          119.70713856178352,
          119.99579260313199,
          120.28001531533641,
          120.55982700166815,
          120.83524751515192,
          121.10629626750217,
          121.37299223776797,
          121.63535398069777,
          121.89339963483297,
          122.14714693034041,
          122.39661319659265,
          122.64181536950431,
          122.88276999863336,
          123.11949325405476,
          123.3520009330142,
          123.58030846636925,
          123.80443092482479,
          124.02438302496915,
          124.2401791351176,
          124.4518332809691,
          124.65935915108224,
          124.8627701021756,
          125.06207916425855,
          125.25729904559687,
          125.44844213751837,
          125.63552051906365,
          125.81854596148555,
          125.99752993260256,
          126.17248360100969,
          126.34341784015106,
          126.51034323225785,
          126.67327007215538,
          126.83220837094277,
          126.98716785954832,
          127.13815799216427,
          127.28518794956345,
          127.42826664230112,
          127.56740271380485,
          127.7026045433547,
          127.83388024895696,
          127.96123769011322,
          128.08468447048762,
          128.20422794047442,
          128.31987519966782,
          128.43163309923645,
          128.53950824420414,
          128.6435069956394,
          128.74363547275456,
          128.83989955491714,
          128.9323048835747,
          129.02085686409436,
          129.1055606675193,
          129.18642123224308,
          129.26344326560286,
          129.33663124539365,
          129.4059894213038,
          129.47152181627365,
          129.53323222777797,
          129.5911242290332,
          129.6452011701306,
          129.69546617909606,
          129.74192216287744,
          129.78457180826027
         ],
         "y": [
          -49.748846207461675,
          -49.73971102373544,
          -49.64756178441268,
          -49.553964539365936,
          -49.45892182011889,
          -49.362436077297474,
          -49.26450968117204,
          -49.165144922174875,
          -49.06434401139356,
          -48.9621090810405,
          -48.85844218489877,
          -48.75334529874453,
          -48.64682032074636,
          -48.53886907184166,
          -48.429493296090335,
          -48.31869466100591,
          -48.20647475786429,
          -48.09283510199041,
          -47.977777133022684,
          -47.861302215155625,
          -47.74341163736058,
          -47.62410661358479,
          -47.503388282928775,
          -47.38125770980207,
          -47.2577158840576,
          -47.132763721104375,
          -47.00640206199884,
          -46.87863167351469,
          -46.74945324819125,
          -46.618867404360316,
          -46.48687468615148,
          -46.35347556347586,
          -46.218670431988215,
          -46.0824596130272,
          -45.944843353533855,
          -45.80582182594817,
          -45.66539512808343,
          -45.523563282978465,
          -45.380326238727385,
          -45.235683868286756,
          -45.08963596926004,
          -44.94218226365893,
          -44.79332239764163,
          -44.64305594122744,
          -44.49138238798774,
          -44.33830115471291,
          -44.18381158105485,
          -44.02791292914489,
          -43.870604383186695,
          -43.7118850490237,
          -43.55175395368091,
          -43.390210044880405,
          -43.22725219053031,
          -43.062879178186634,
          -42.89708971448771,
          -42.72988242456041,
          -42.561255851397924,
          -42.391208455208364,
          -42.21973861273369,
          -42.04684461653832,
          -41.87252467426678,
          -41.69677690786977,
          -41.51959935279792,
          -41.34098995716249,
          -41.16094658086234,
          -40.97946699467618,
          -40.79654887931958,
          -40.61218982446552,
          -40.42638732772789,
          -40.23913879360676,
          -40.050441532394565,
          -39.86029275904213,
          -39.66868959198348,
          -39.4756290519183,
          -39.281108060550864,
          -39.08512343928426,
          -38.8876719078686,
          -38.688750083001885,
          -38.48835447688218,
          -38.28648149570961,
          -38.083127438136735,
          -37.878288493665615,
          -37.67196074099014,
          -37.46414014628161,
          -37.2548225614161,
          -37.04400372214156,
          -36.83167924618271,
          -36.617844631281834,
          -36.40249525317318,
          -36.18562636348896,
          -35.967233087594444,
          -35.74731042234991,
          -35.525853233796866,
          -35.302856254765835,
          -35.07831408240322,
          -34.85222117561405,
          -34.62457185241793,
          -34.39536028721485,
          -34.164580507957695,
          -33.93222639322801,
          -33.69829166921149,
          -33.462769906569406,
          -33.225654517202095,
          -32.98693875090047,
          -32.746615691881196,
          -32.50467825520116,
          -32.26111918304652,
          -32.01593104089137,
          -31.76910621352106,
          -31.520636900914706,
          -31.270515113981247,
          -31.01873267014328,
          -30.76528118876244,
          -30.510152086399877,
          -30.25333657190517,
          -29.994825641326464,
          -29.73461007263458,
          -29.472680420253198,
          -29.20902700938702,
          -28.9436399301395,
          -28.67650903141104,
          -28.4076239145684,
          -28.13697392687558,
          -27.864548154675763,
          -27.5903354163137,
          -27.314324254787245,
          -27.036502930116267,
          -26.75685941141658,
          -26.475381368666117,
          -26.192056164149683,
          -25.90687084356842,
          -25.619812126799108,
          -25.33086639828807,
          -25.040019697063638,
          -24.74725770635055,
          -24.452565742768964,
          -24.15592874510006,
          -23.857331262599722,
          -23.55675744284086,
          -23.254191019064613,
          -22.94961529701994,
          -22.64301314127053,
          -22.33436696094782,
          -22.023658694928198,
          -21.71086979641249,
          -21.395981216885858,
          -21.078973389436136,
          -20.759826211409454,
          -20.438519026382448,
          -20.11503060543183,
          -19.789339127683647,
          -19.461422160126997,
          -19.13125663668016,
          -18.798818836501102,
          -18.464084361539776,
          -18.12702811333631,
          -17.787624269077735,
          -17.445846256936814,
          -17.10166673072972,
          -16.755057543946425,
          -16.405989723228316,
          -16.05443344139351,
          -15.70035799014257,
          -15.343731752617023,
          -14.98452217603257,
          -14.62269574466991,
          -14.258217953582292,
          -13.89105328347301,
          -13.521165177313703,
          -13.148516019420693,
          -12.773067117889594,
          -12.394778691517828,
          -12.013609862632912,
          -11.629518657607772,
          -11.242462017304348,
          -10.852395820270896,
          -10.459274922264024,
          -10.063053216621999,
          -9.663683721247132,
          -9.2611186995499,
          -8.855309824785648,
          -8.446208399940176,
          -8.033765648918912,
          -7.61793309958119,
          -7.198663085579514,
          -6.775909402644436,
          -6.349628166806514,
          -5.919778938389822,
          -5.486326198398953,
          -5.049241296076795,
          -4.608505032381547,
          -4.164111110801055,
          -3.7160707851409667,
          -3.2644191811481487,
          -2.8092239937901713,
          -2.350597613170955,
          -1.9106507702491053,
          -1.5088714695790706,
          -1.1814715151170792,
          -0.8529119230171126,
          -0.5880340370543191,
          -0.35219488780922487,
          -0.14679931648289196,
          0.022859033930607276,
          0.19250703644828768,
          0.36460341363954807,
          0.5500453629255864,
          0.7420375144367158,
          0.9358123281823537,
          1.128013219912407,
          1.3161755385474976,
          1.4984508514242587,
          1.6734460276216032,
          1.8401199376536899,
          1.9977118255106439,
          2.1456884731025023,
          2.2837032762697795,
          2.4115633444246725,
          2.5292023263313084,
          2.6366575494128113,
          2.7340505677476914,
          2.8215705110093627,
          2.8994598026600658,
          2.96800192115419,
          3.0275109423713165,
          3.0783226423611256,
          3.1207869672067923,
          3.1552616973149923,
          3.1821071501405975,
          3.201681779964146,
          3.214338546674551,
          3.2204219377673815,
          3.220265538957411,
          3.2141900586545833,
          3.2025017197470476,
          3.1854909382103034,
          3.1634312113917704,
          3.1365781384849605,
          3.1051684903765286,
          3.069419233649338,
          3.029526390888511,
          2.985663581640357,
          2.937980027591559,
          2.8865977093328197,
          2.8316072102840617,
          2.7730615434161843,
          2.7109668776453946,
          2.6452684970863043,
          2.5758295207565722,
          2.5023993218510467,
          2.4245713256444708,
          2.341753690637285,
          2.253314509180336,
          2.159616821452503,
          2.07702582606076,
          1.997374359427733,
          1.9202034203616747,
          1.8370627628170169,
          1.7558953874346461,
          1.6769339386070972,
          1.5995877652541075,
          1.523329775357383,
          1.4477023097101456,
          1.372274668441482,
          1.2966030038474379,
          1.2201840749564419,
          1.1423848012668378,
          1.062306724486728,
          0.9784617428949051,
          0.8877525143153239,
          0.7810110273686325,
          0.7021236980087707,
          0.6310367531798988,
          0.5664631801207861,
          0.5087927334315829,
          0.4613198284365389,
          0.4134766663631196,
          0.3595658585144143,
          0.2975733432312091,
          0.22855956380848463,
          0.1523502305956989,
          0.06759244391585431,
          -0.029272196787550626,
          -0.14804959442333832,
          -0.2540711335505249,
          -0.35926658584859383,
          -0.46003443477828365,
          -0.5593195146524935,
          -0.6586852204323136,
          -0.7590910727238444,
          -0.8612650695675558,
          -0.9658428414300085,
          -1.0734369651329578,
          -1.1846822451985979,
          -1.3002739133181191,
          -1.421007454049329,
          -1.547825901919388,
          -1.68187730664286,
          -1.8245715269207368,
          -1.9775630452663244,
          -2.1423385734140363,
          -2.318546425233887,
          -2.501753239309517,
          -2.686718097633145,
          -2.871937496625081,
          -3.0580236847073445,
          -3.245922885655309,
          -3.436470610620617,
          -3.6303537023327177,
          -3.8281409039045453,
          -4.03031524254217,
          -4.2372987687408505,
          -4.449470433730627,
          -4.667179043929423,
          -4.890752831721515,
          -5.120506684954757,
          -5.356747715174242,
          -5.599779609665671,
          -5.849906066432876,
          -6.107433521047836,
          -6.37267331820862,
          -6.6459434444430485,
          -6.927569913286702,
          -7.217887876140404,
          -7.517242517452246,
          -7.825989781203857,
          -8.14449696563637,
          -8.473143214824434,
          -8.812319928655956,
          -9.162431106599243,
          -9.523893635934165,
          -9.89713753081875,
          -10.282606124989119,
          -10.680756218341319,
          -11.092058174637968,
          -11.516995965825215,
          -11.95606715588639,
          -12.409782815674347,
          -12.878667357682621,
          -13.363258277945219,
          -13.86410578965635,
          -14.38177233093093,
          -14.916831925727353,
          -15.469869373945494,
          -16.04147924274309,
          -16.632264626502238,
          -17.242835637136032,
          -17.873807580675678,
          -18.52579876762372,
          -19.19942789562859,
          -19.89531093171981,
          -20.61405740772426,
          -21.35626602616304,
          -22.121121308531848,
          -22.85147788008359,
          -23.550699925382727,
          -24.221622261612033,
          -24.86666048624036,
          -25.48789328056997,
          -26.087125016746317,
          -26.665934140494088,
          -27.225711091340507,
          -27.767688400180027,
          -28.29296485126081,
          -28.802525080178686,
          -29.297255619904913,
          -29.777958151865086,
          -30.24536053546138,
          -30.70012605535381,
          -31.142861226666117,
          -31.57412242408731,
          -31.994421544718122,
          -32.40423087162546,
          -32.80398727199009,
          -33.19409583799471,
          -33.57493305840841,
          -33.9468495928621,
          -34.310172708100914,
          -34.665208425311434,
          -35.01224341940404,
          -35.351546704458144,
          -35.683371134096284,
          -36.0079547410814,
          -36.32552193674951,
          -36.63628458783239,
          -36.94044298568293,
          -37.23818672078741,
          -37.52969547366256,
          -37.81513973172858,
          -38.094681440474226,
          -38.36847459614579,
          -38.636665786269354,
          -38.899394683524875,
          -39.15679449781275,
          -39.408992390770486,
          -39.65610985649261,
          -39.89826307177108,
          -40.13556321879514,
          -40.36811678291916,
          -40.59602582782037,
          -40.81938825011578,
          -41.03829801528737,
          -41.252845376571585,
          -41.463117078296165,
          -41.6691965449994,
          -41.87116405753104,
          -42.069096917217855,
          -42.263069599070285,
          -42.45315389491462,
          -42.63941904725116,
          -42.82193187456475,
          -43.000756888747446,
          -43.17595640523416,
          -43.3475906463981,
          -43.51571783870481,
          -43.68039430408093,
          -43.841674545915005,
          -43.99961133007115,
          -44.15425576126681,
          -44.305657355134734,
          -44.453864106265534,
          -44.598922552501726,
          -44.740877835733464,
          -44.879773759426755,
          -45.01565284309699,
          -45.14855637392415,
          -45.278524455691574,
          -45.405596055216144,
          -45.52980904642672,
          -45.65120025223391,
          -45.76980548432634,
          -45.88565958101732,
          -45.9987964432581,
          -46.109249068925315,
          -46.217049585482485,
          -46.32222928110958,
          -46.424818634387535,
          -46.524847342619076,
          -46.62234434886152,
          -46.71733786774334,
          -46.80985541012973,
          -46.89992380670036,
          -46.98756923049709,
          -47.07281721849568,
          -47.15569269225382,
          -47.236219977682154,
          -47.314422823984366,
          -47.3903244218081,
          -47.46394742064701,
          -47.53531394553039,
          -47.60444561303701,
          -47.671363546665376,
          -47.73608839159171,
          -47.79864032884571,
          -47.85903908893133,
          -47.91730396491911,
          -47.973453825034525,
          -48.02750712476654,
          -48.07948191851739,
          -48.12939587081523,
          -48.17726626710952,
          -48.22311002416753,
          -48.26694370008965,
          -48.30878350396065,
          -48.34864530515287,
          -48.38654464229607,
          -48.4224967319283,
          -48.45651647684209,
          -48.48861847413788,
          -48.518817022997546,
          -48.54712613218974,
          -48.573559527317975,
          -48.598130657821706,
          -48.620852703740965,
          -48.64173858225384,
          -48.660800953995924,
          -48.67805222917014,
          -48.69350457345563,
          -48.707169913723476,
          -48.71905994356606,
          -48.72918612864858,
          -48.737559711888075,
          -48.7441917184674,
          -48.74909296068991,
          -48.75227404268143,
          -48.7537453649441,
          -48.75351712876862,
          -48.751599340509195,
          -48.748001815726745,
          -48.74273418320501,
          -48.735805888843636,
          -48.72722619943307,
          -48.7170042063151,
          -48.70514882893332,
          -48.69166881827726,
          -48.676572760223415,
          -48.65986907877706,
          -48.641566039218176,
          -48.6216717511547,
          -48.60019417148594,
          -48.577141107279495,
          -48.55252021856403,
          -48.52633902104088,
          -48.49860488871767,
          -48.46932505646484,
          -48.438506622499574,
          -48.40615655079759,
          -48.37228167343651,
          -48.336888692871426,
          -48.29998418414616,
          -48.261574597041324,
          -48.2216662581613,
          -48.18026537296187,
          -48.13737802772024,
          -48.09301019144963,
          -48.047167717759095,
          -47.999856346661005,
          -47.951081706327194,
          -47.90084931479565,
          -47.84916458162826,
          -47.79603280952199,
          -47.74145919587434,
          -47.68544883430399,
          -47.62800671612815,
          -47.569137731798115,
          -47.50884667229324,
          -47.44713823047515,
          -47.38401700240274,
          -47.31948748860942,
          -47.253554095343134,
          -47.18622113577002,
          -47.117492831143096,
          -47.04737331193621,
          -46.975866618944245,
          -46.902976704351055,
          -46.82870743276454,
          -46.753062582220494,
          -46.67604584515609,
          -46.59766082935286,
          -46.517911058850736,
          -46.43679997483263,
          -46.3543309364816,
          -46.27050722180957,
          -46.1853320284596,
          -46.098808474481295,
          -46.01093959908014,
          -45.92172836334121,
          -45.831177650927934,
          -45.73929026875613,
          -45.64606894764332,
          -45.55151634293481,
          -45.45563503510608,
          -45.35842753034186,
          -45.25989626109261,
          -45.16004358660848,
          -45.058871793451345,
          -44.95638309598472,
          -44.852579636842364,
          -44.74746348737564,
          -44.64103664807971,
          -44.53330104899922,
          -44.424258550112974,
          -44.31391094169874,
          -44.2022599446779,
          -44.089307210939914,
          -43.97505432364682,
          -43.85950279751883,
          -43.74265407909975,
          -43.62450954700337,
          -43.505070512140406,
          -43.38433821792673,
          -43.26231384047207,
          -43.138998488749905,
          -43.01439320474874,
          -42.88849896360405,
          -42.76131667371181,
          -42.63284717682311,
          -42.503091248119894,
          -42.37204959627219,
          -42.239722863476246,
          -42.106111625474064,
          -41.97121639155433,
          -41.835037604533966,
          -41.69757564072091,
          -41.558830809858286,
          -41.418803355048745,
          -41.27749345266039,
          -41.134901212212604,
          -40.99102667624314,
          -40.84586982015502,
          -40.699430552044234,
          -40.551708712507015,
          -40.40270407442738,
          -40.2524163427442,
          -40.10084515419795,
          -39.94799007705644,
          -39.793850610819746,
          -39.63842618590383,
          -39.48171616330287,
          -39.32371983422929,
          -39.16443641973226,
          -39.003865070293216,
          -38.842004865398884,
          -38.67885481309123,
          -38.51441384949362,
          -38.348680838313044,
          -38.1816545703184,
          -38.01333376279334,
          -37.84371705896429,
          -37.67280302740271,
          -37.50059016140085,
          -37.32707687832107,
          -37.15226151891734,
          -36.976142346629196,
          -36.79871754684724,
          -36.619985226149105,
          -36.43994341150598,
          -36.258590049458284,
          -36.07592300526061,
          -35.89194006199435,
          -35.706638919647574,
          -35.52001719416167,
          -35.33207241644317,
          -35.14280203134089,
          -34.95220339658648,
          -34.760273781697855,
          -34.56701036684484,
          -34.37241024167552,
          -34.1764704041022,
          -33.97918775904659,
          -33.78055911714187,
          -33.58058119339163,
          -33.37925060578374,
          -33.17656387385784,
          -32.9725174172254,
          -32.76710755404121,
          -32.56033049942355,
          -32.35218236382343,
          -32.142659151339444,
          -31.93175675797823,
          -31.71947096985753,
          -31.505797461350678,
          -31.290731793171148,
          -31.074269410393928,
          -30.856405640413257,
          -30.637135690833393,
          -30.41645464729128,
          -30.194357471207876,
          -29.970838997467006,
          -29.745893932018358,
          -29.51951684940232,
          -29.291702190194883,
          -29.062444258368632,
          -28.83173721856802,
          -28.599575093295883,
          -28.36595176000769,
          -28.1308609481114,
          -27.894296235868456,
          -27.656251047193738,
          -27.416718648350727,
          -27.17569214453785,
          -26.933164476362872,
          -26.68912841620157,
          -26.443576564436615,
          -26.196501345572447,
          -25.947895004222524,
          -25.697749600964524,
          -25.446057008058997,
          -25.19280890502712,
          -24.937996774083306,
          -24.681611895417472,
          -24.423645342323056,
          -24.164087976165074,
          -23.902930441184672,
          -23.64016315913412,
          -23.375776323738314,
          -23.109759894977753,
          -22.842103593188266,
          -22.572796892973148,
          -22.30182901692298,
          -22.029188929139675,
          -21.754865328560115,
          -21.478846642076782,
          -21.201121017452046,
          -20.92167631602399,
          -20.6405001052025,
          -20.357579650754975,
          -20.072901908882308,
          -19.78645351808769,
          -19.4982207908413,
          -19.208189705047626,
          -18.91634589532268,
          -18.62267464409321,
          -18.327160872531696,
          -18.029789131346234,
          -17.73054359144844,
          -17.429408034528855,
          -17.126365843575748,
          -16.82139999338104,
          -16.514493041087636,
          -16.205627116842123,
          -15.894783914632153,
          -15.581944683402343,
          -15.267090218562254,
          -14.950200854022222,
          -14.631256454920743,
          -14.31023641123783,
          -13.98711963252868,
          -13.66188454405805,
          -13.334509084669795,
          -13.004970706795298,
          -12.67324637908248,
          -12.339312592226245,
          -12.003145368698585,
          -11.664720277219985,
          -11.324012452989288,
          -10.980996624902662,
          -10.635647151255906,
          -10.287938065748133,
          -9.93784313600495,
          -9.585335937338403,
          -9.230389945080628,
          -8.87297864960712,
          -8.513075699146476,
          -8.150655076714123,
          -7.78569131908918,
          -7.4181597877783645,
          -7.048037004521822,
          -6.675301067284321,
          -6.299932167104241,
          -5.921913232010493,
          -5.541230731969609,
          -5.157875689219873,
          -4.771844952413327,
          -4.383142812221826,
          -3.9917830626615403,
          -3.5977916496222733,
          -3.201210100901817,
          -2.8021000080464833,
          -2.4005489414172403,
          -1.996678345215411,
          -1.5906542099244194,
          -1.1827017081073252,
          -0.7731255960008546,
          -0.3623391883766753,
          0.049093596695317945,
          0.45302972882545156,
          0.8217907559236683,
          1.156501213946193,
          1.4595530496475713,
          1.7332316436560846,
          1.9796599605661325,
          2.200807838873813,
          2.398503458045103,
          2.574443937024167,
          2.730205017585933,
          2.867249922060104,
          2.9869374694562634,
          3.090529523567399,
          3.179197837432854,
          3.254030350734911,
          3.316036990037628,
          3.366155016107826,
          3.4052539575281173,
          3.4341401654216956,
          3.453561020192108,
          3.4642088174743733,
          3.4667243569753223,
          3.4617002542283735,
          3.4496839913279924,
          3.431180718036106,
          3.4066558088392322,
          3.3765371739338708,
          3.341217311853965,
          3.3010550773774017,
          3.2563771188391977,
          3.207478911917315,
          3.1546252792929175,
          3.0980502331277076,
          3.0379559034318304,
          2.974510209732964,
          2.9078427785786545,
          2.8380383759779346,
          2.765126767186832,
          2.6890673873884015,
          2.6097265598690362,
          2.5268449698599738,
          2.4399980854968315,
          2.348585485554574,
          2.2520562991811897,
          2.1511825481964992,
          2.063714029292728,
          1.9796646225332069,
          1.8984868349792599,
          1.811447729316754,
          1.726723757557596,
          1.644494778984531,
          1.5641139116296676,
          1.4850054214742565,
          1.406667128697604,
          1.3286246447150294,
          1.2503866539385884,
          1.1713908676918348,
          1.0909177132647137,
          1.007915580110639,
          0.9205537683073775,
          0.8246650028790804,
          0.7327180238758486,
          0.653771235641681,
          0.5826345961801536,
          0.5181356582684707,
          0.46094233734435097,
          0.4140003663649787,
          0.36810617467295625,
          0.3127459767258298,
          0.24944798013999506,
          0.17915300699199818,
          0.10160414254702264,
          0.015319835346044112,
          -0.08359614236571684,
          -0.2056545470510614,
          -0.31125112467259086,
          -0.4158601985686523,
          -0.5164227745938565,
          -0.615627340093802,
          -0.7149394780550077,
          -0.8152829380898298,
          -0.9173690333953767,
          -1.021824338211789,
          -1.1292561584999803,
          -1.2402963595219842,
          -1.355639098082757,
          -1.476080667543106,
          -1.6025669188543934,
          -1.7362499098413418,
          -1.8785387492399637,
          -2.0310546341431235,
          -2.1951163405587155,
          -2.3698911966026137,
          -2.5505722029922566,
          -2.7324090849469402,
          -2.914358872134294,
          -3.097121622302048,
          -3.281616538158028,
          -3.4686382467190944,
          -3.658836951158875,
          -3.8527500880692065,
          -4.050833300198986,
          -4.253483838681155,
          -4.46105748727662,
          -4.673880872902045,
          -4.892260596942391,
          -5.1164901519870165,
          -5.346855253008307,
          -5.583637996838138,
          -5.827120130503268,
          -6.077585626973487,
          -6.335322715746914,
          -6.600625481788229,
          -6.873795123019716,
          -7.15514093866924,
          -7.444981106726254,
          -7.743643296711273,
          -8.05146515396462,
          -8.368794683344063,
          -8.695990552640563,
          -9.033422330412376,
          -9.381470667789076,
          -9.740527429561288,
          -10.110995776675468,
          -10.49329019947249,
          -10.887836497888047,
          -11.295071703725489,
          -11.715443936934111,
          -12.149412186741412,
          -12.597446006029454,
          -13.060025105168936,
          -13.537638829652582,
          -14.03078550276562,
          -14.539971611810556,
          -15.065710813007618,
          -15.608522726147317,
          -16.16893148527659,
          -16.747464006060934,
          -17.344647924367415,
          -17.961009151610185,
          -18.597068984048068,
          -19.25334069040536,
          -19.930325489036388,
          -20.62850780805345,
          -21.33804732066434,
          -22.0150143132988,
          -22.66257655317889,
          -23.283406168725076,
          -23.87978212978874,
          -24.453666989044237,
          -25.006765367834948,
          -25.540569228009655,
          -26.05639340472344,
          -26.555403844567103,
          -27.0386403000186,
          -27.507034755264474,
          -27.961426525756732,
          -28.402574737473227,
          -28.83116872132972,
          -29.247836733492313,
          -29.653153319989123,
          -30.047645574827136,
          -30.431798488417773,
          -30.806059543026777,
          -31.17084268101665,
          -31.52653174754262,
          -31.8734834904393,
          -32.2120301850618,
          -32.542481939914,
          -32.86512872932757,
          -33.18024219173002,
          -33.48807722576421,
          -33.788873411400786,
          -34.082856278976486,
          -34.37023844561893,
          -34.65122063564146,
          -34.9259925990919,
          -35.19473394063321,
          -35.457614869247585,
          -35.7147968778343,
          -35.96643336056686,
          -36.212670174851816,
          -36.453646153859744,
          -36.68949357485152,
          -36.920338587881936,
          -37.14630160891275,
          -37.36749768088819,
          -37.58403680591584,
          -37.79602425133625,
          -38.00356083215247,
          -38.20674317202004,
          -38.405663944757464,
          -38.60041209813117,
          -38.79107306148247,
          -38.97772893860388,
          -39.16045868713015,
          -39.33933828558066,
          -39.51444088907959,
          -39.68583697468169,
          -39.853594477139566,
          -40.01777891587379,
          -40.178453513834114,
          -40.33567930887708,
          -40.48951525822996,
          -40.640018336561084,
          -40.787243628127456,
          -40.931244413434825,
          -41.07207225080379,
          -41.20977705320472,
          -41.34440716069444,
          -41.476009408758266,
          -41.60462919283817,
          -41.730310529305314,
          -41.853096113112386,
          -41.973027372347204,
          -42.09014451988731,
          -42.204486602343316,
          -42.31609154646287,
          -42.42499620315485,
          -42.53123638928235,
          -42.6348469273604,
          -42.735861683287105,
          -42.834313602224846,
          -42.93023474274213,
          -43.023656309319286,
          -43.11460868331073,
          -43.20312145245495,
          -43.28922343901342,
          -43.37294272661619,
          -43.45430668588606,
          -43.53334199890861,
          -43.61007468261141,
          -43.684530111111144,
          -43.7567330370835,
          -43.82670761220858,
          -43.894477406739554,
          -43.96006542823958,
          -44.02349413953165,
          -44.084785475899544,
          -44.1439608615784,
          -44.20104122557109,
          -44.256047016822656,
          -44.30899821878512,
          -44.35991436340199,
          -44.40881454454038,
          -44.455717430897984,
          -44.500641278407564,
          -44.54360394216615,
          -44.58462288790653,
          -44.62371520303689,
          -44.660897607263784,
          -44.69618646282172,
          -44.72959778432273,
          -44.7611472482468,
          -44.79085020208585,
          -44.818721673158464,
          -44.84477637710928,
          -44.869028726105626,
          -44.89149283674518,
          -44.91218253768777,
          -44.93111137702079,
          -44.94829262937077,
          -44.96373930277177,
          -44.97746414529993,
          -44.98947965148366,
          -44.9997980684993,
          -45.008431402159374,
          -45.015391422703985,
          -45.02068967040105,
          -45.02433746096313,
          -45.02634589078933,
          -45.026725842037855,
          -45.025487987535826,
          -45.02264279553266,
          -45.01820053430299,
          -45.01217127660505,
          -45.004564903998805,
          -44.995391111030585,
          -44.98465940928775,
          -44.97237913132811,
          -44.95855943449045,
          -44.94320930458784,
          -44.92633755948922,
          -44.90795285259422,
          -44.8880636762019,
          -44.86667836478069,
          -44.84380509814045,
          -44.81945190451054,
          -44.79362666352824,
          -44.76633710913824,
          -44.73759083240896,
          -44.70739528426578,
          -44.67575777814619,
          -44.6426854925778,
          -44.608185473682155,
          -44.57226463760728,
          -44.534929772890585,
          -44.496187542754505,
          -44.45604448733741,
          -44.414507025860566,
          -44.371581458735086,
          -44.3272739696084,
          -44.281590627354326,
          -44.234537388006785,
          -44.186120096639605,
          -44.13634448919361,
          -44.085216194253,
          -44.03274073477261,
          -43.97892352975619,
          -43.92376989588864,
          -43.8672850491229,
          -43.80947410622307,
          -43.75034208626329,
          -43.68989391208639,
          -43.628134411721746,
          -43.56506831976309,
          -43.50070027870811,
          -43.435034840260855,
          -43.368076466597834,
          -43.299829531598014,
          -43.23029832203928,
          -43.159487038759615,
          -43.0873997977873,
          -43.014040631437496,
          -42.93941348937814,
          -42.86352223966572,
          -42.786370669750475,
          -42.707962487452924,
          -42.628301321911955,
          -42.54739072450483,
          -42.46523416974035,
          -42.381835056125034,
          -42.297196707004254,
          -42.211322371376234,
          -42.124215224682814,
          -42.03587836957509,
          -41.94631483665429,
          -41.85552758519147,
          -41.76351950382143,
          -41.67029341121661,
          -41.57585205673688,
          -41.48019812105882,
          -41.38333421678348,
          -41.28526288902238,
          -41.185986615964005,
          -41.0855078094195,
          -40.9838288153479,
          -40.88095191436259,
          -40.77687932221833,
          -40.67161319027825,
          -40.56515560596366,
          -40.45750859318336,
          -40.34867411274637,
          -40.23865406275597,
          -40.127450278985336,
          -40.01506453523681,
          -39.901498543682074,
          -39.7867539551869,
          -39.67083235961688,
          -39.553735286128266,
          -39.435464203439906,
          -39.316020520090476,
          -39.195405584677665,
          -39.0736206860823,
          -38.95066705367514,
          -38.82654585750765,
          -38.70125820848734,
          -38.57480515853631,
          -38.44718770073408,
          -38.31840676944495,
          -38.18846324042848,
          -38.05735793093539,
          -37.925091599786874,
          -37.791664947437965,
          -37.65707861602576,
          -37.521333189401645,
          -37.38442919314754,
          -37.24636709457625,
          -37.10714730271647,
          -36.96677016828154,
          -36.825235983622015,
          -36.68254498266278,
          -36.53869734082369,
          -36.39369317492456,
          -36.24753254307283,
          -36.100215444536175,
          -35.951741819597494,
          -35.80211154939454,
          -35.65132445574157,
          -35.49938030093444,
          -35.34627878753993,
          -35.192019558165526,
          -35.03660219521395,
          -34.88002622061921,
          -34.72229109556461,
          -34.56339622018352,
          -34.40334093324107,
          -34.24212451179842,
          -34.07974617085727,
          -33.91620506298593,
          -33.7515002779266,
          -33.58563084218189,
          -33.41859571858303,
          -33.25039380583647,
          -33.0810239380514,
          -32.91048488424468,
          -32.73877534782711,
          -32.56589396606514,
          -32.391839309523654,
          -32.21660988148378,
          -32.04020411733969,
          -31.862620383971613,
          -31.683856979095392,
          -31.50391213058711,
          -31.32278399578446,
          -31.140470660762347,
          -30.956970139582143,
          -30.772280373516484,
          -30.586399230245757,
          -30.399324503028524,
          -30.211053909842956,
          -30.021585092500796,
          -29.83091561573222,
          -29.639042966239614,
          -29.445964551722994,
          -29.251677699872705,
          -29.056179657331167,
          -28.859467588621822,
          -28.661538575044908,
          -28.46238961353958,
          -28.262017615510807,
          -28.060419405620646,
          -27.85759172054402,
          -27.653531207686324,
          -27.448234423863315,
          -27.241697833942414,
          -27.033917809444418,
          -26.824890627103734,
          -26.614612467388127,
          -26.403079412975,
          -26.190287447185867,
          -25.976232452374923,
          -25.76091020827412,
          -25.544316390291048,
          -25.32644656776032,
          -25.107296202148014,
          -24.88686064520605,
          -24.66513513707806,
          -24.442114804355587,
          -24.217794658081907,
          -23.992169591705235,
          -23.76523437897943,
          -23.536983671811882,
          -23.3074119980579,
          -23.076513759261687,
          -22.844283228343578,
          -22.61071454723251,
          -22.37580172444566,
          -22.13953863261395,
          -21.901919005953925,
          -21.662936437688778,
          -21.422584377416527,
          -21.180856128429383,
          -20.937744844984596,
          -20.693243529529674,
          -20.447345029884918,
          -20.20004203638634,
          -19.9513270789925,
          -19.701192524361637,
          -19.449630572903263,
          -19.1966332558122,
          -18.942192432091648,
          -18.686299785576324,
          -18.428946821964697,
          -18.170124865874158,
          -17.909825057932334,
          -17.648038351922665,
          -17.38475551200293,
          -17.11996711001854,
          -16.853663522937342,
          -16.58583493043471,
          -16.316471312663946,
          -16.045562448249857,
          -15.77309791255265,
          -15.499067076251624,
          -15.223459104311601,
          -14.9462629553978,
          -14.667467381821547,
          -14.387060930105683,
          -14.105031942278282,
          -13.82136855801336,
          -13.536058717762785,
          -13.24909016704046,
          -12.960450462048259,
          -12.670126976863818,
          -12.378106912444334,
          -12.084377307742225,
          -11.78892505327983,
          -11.491736907584164,
          -11.192799516955546,
          -10.892099439122338,
          -10.589623171430498,
          -10.285357184334087,
          -9.979287961088021,
          -9.671402044711671,
          -9.361686093489359,
          -9.050126946515745,
          -8.736711701084312,
          -8.421427804073408,
          -8.104263159916847,
          -7.785206258278868,
          -7.464246325209658,
          -7.141373502369574,
          -6.8165790599227165,
          -6.489855649964132,
          -6.161197608939142,
          -5.830601319526892,
          -5.498065645025004,
          -5.163592452562912,
          -4.8271872457139295,
          -4.488859932598243,
          -4.148625762806015,
          -3.8065064760379768,
          -3.46253171813116,
          -3.1167407973424845,
          -2.769184877199199,
          -2.419929734508314,
          -2.069059256150886,
          -1.7166799119530254,
          -1.362926532274673,
          -1.0079698521554947,
          -0.6520264815516246,
          -0.29537226043287945,
          0.061639579575227386,
          0.4185532915394011,
          0.774775176587483,
          1.1295224740119951,
          1.4710381129080088,
          1.780287391129257,
          2.0586652419553224,
          2.308413898323988,
          2.531656038501374,
          2.7303593884066433,
          2.9063466696002735,
          3.0613067221386077,
          3.196804720900835,
          3.3142914887446393,
          3.415111998825367,
          3.500513150369578,
          3.571650891382768,
          3.6295967524705017,
          3.6753438480687683,
          3.7098123946509998,
          3.7338547896921943,
          3.748260290150395,
          3.753759324757475,
          3.751027470408267,
          3.7406891191778238,
          3.7233208588261864,
          3.6994545858352823,
          3.6695803657870782,
          3.634149050860582,
          3.593574657860526,
          3.5482365018426467,
          3.4984810690945105,
          3.4446235977268835,
          3.386949312705815,
          3.325714232546797,
          3.2611454238375392,
          3.193440522752429,
          3.1227662625894177,
          3.0492556316935806,
          2.9730031175826657,
          2.894057238725805,
          2.812409177821646,
          2.7279757686529633,
          2.6405744705088665,
          2.5498883730459703,
          2.455426844462143,
          2.356534079487797,
          2.2527233545131837,
          2.1565612038195843,
          2.0643469430944688,
          1.9761122444782693,
          1.8911395666950856,
          1.8003556183861695,
          1.7122204443486444,
          1.6268751157138897,
          1.5436232600393522,
          1.4618497477889447,
          1.3810200456201638,
          1.3006316377119036,
          1.2201668176522025,
          1.1390356307668734,
          1.0564844148020085,
          0.9714090873026181,
          0.8818707444967078,
          0.7833694406751446,
          0.6911783103960202,
          0.611557177493866,
          0.5398303894126679,
          0.4748966734126452,
          0.4175331985014425,
          0.3692586586766944,
          0.3237890164016611,
          0.2673400181372354,
          0.20304039778897576,
          0.1317649788652729,
          0.05320883204466941,
          -0.03419153997655939,
          -0.13456217809008506,
          -0.25869401979900924,
          -0.3751600801358601,
          -0.47932263523007484,
          -0.5794193924858194,
          -0.678377141710703,
          -0.7775323154186551,
          -0.8777535427664738,
          -0.9797260053549774,
          -1.0840626301220933,
          -1.1913637649497908,
          -1.3022588108249027,
          -1.4174433398581079,
          -1.537719191563499,
          -1.6640424771452764,
          -1.7975795581123437,
          -1.9397491692193691,
          -2.092132858395154,
          -2.255796058977855,
          -2.429203106307614,
          -2.607142193278752,
          -2.7855704698306027,
          -2.9639768001723517,
          -3.143153137712602,
          -3.3239871403749537,
          -3.5072273445363296,
          -3.6934829994343428,
          -3.8832570598936758,
          -4.076975627534711,
          -4.275009822756337,
          -4.4776915688920305,
          -4.685325093939283,
          -4.898195480588766,
          -5.1165751497478755,
          -5.340728854667447,
          -5.570917567420477,
          -5.807401518673096,
          -6.050442577448697,
          -6.300306110415932,
          -6.557262429191131,
          -6.821587911735283,
          -7.093565866962064,
          -7.373487198022932,
          -7.661650907777392,
          -7.958364480796382,
          -8.263944167471106,
          -8.578715189055375,
          -8.903011876820832,
          -9.237177753388684,
          -9.581565560940605,
          -9.93653723694013,
          -10.302463836132072,
          -10.679725394482853,
          -11.068710729023294,
          -11.469817165386106,
          -11.883450182928932,
          -12.31002296523093,
          -12.749955841834076,
          -13.20367560445083,
          -13.671614678450881,
          -14.154210127242173,
          -14.651902463763085,
          -15.165134239028898,
          -15.69434837295097,
          -16.239986186938367,
          -16.802485090548743,
          -17.38227586668709,
          -17.979779489580945,
          -18.595403397616195,
          -19.22953712890525,
          -19.882547208445203,
          -20.535518465602664,
          -21.15792949228487,
          -21.752740278597383,
          -22.322451035691454,
          -22.869196513980796,
          -23.39481682128907,
          -23.900911519515518,
          -24.388881583611035,
          -24.859962392653642,
          -25.31524998914969,
          -25.755722212489346,
          -26.18225587864679,
          -26.595640874178258,
          -26.996591816015535,
          -27.385757772019623,
          -27.763730422565228,
          -28.131050958337276,
          -28.4882159456655,
          -28.8356823422925,
          -29.173871809372415,
          -29.503174436818306,
          -29.82395197675497,
          -30.136540662258252,
          -30.44125367464338,
          -30.738383311465302,
          -31.028202898480508,
          -31.31096848161977,
          -31.58692032917252,
          -31.856284269597023,
          -32.11927288644628,
          -32.37608658865181,
          -32.6269145717167,
          -32.87193568312688,
          -33.111319203408954,
          -33.34522555268669,
          -33.57380693125466,
          -33.79720790155855,
          -34.01556591801343,
          -34.229011810273086,
          -34.43767022485991,
          -34.641660029467914,
          -34.84109468372985,
          -35.03608257979386,
          -35.226727355664785,
          -35.413128183934774,
          -35.59538003822489,
          -35.773573939414185,
          -35.947797183501365,
          -36.11813355274793,
          -36.28466351158521,
          -36.44746438860839,
          -36.60661054584854,
          -36.7621735363976,
          -36.91422225135188,
          -37.062823056947465,
          -37.208039922679255,
          -37.34993454111836,
          -37.48856644007788,
          -37.62399308771722,
          -37.75626999112205,
          -37.88545078885125,
          -38.011587337893225,
          -38.13472979544409,
          -38.2549266958785,
          -38.372225023254906,
          -38.486670279669276,
          -38.59830654974459,
          -38.70717656152047,
          -38.813321743987,
          -38.916782281485254,
          -39.01759716518126,
          -39.11580424180581,
          -39.21144025983368,
          -39.30454091326656,
          -39.39514088317058,
          -39.48327387710602,
          -39.56897266658105,
          -39.65226912264848,
          -39.73319424975697,
          -39.81177821796022,
          -39.88805039358168,
          -39.96203936842358,
          -40.03377298760394,
          -40.10327837610084,
          -40.17058196407498,
          -40.23570951104125,
          -40.298686128948724,
          -40.35953630423351,
          -40.41828391889657,
          -40.47495227065889,
          -40.5295640922455,
          -40.5821415698414,
          -40.6327063607635,
          -40.681279610388,
          -40.72788196837402,
          -40.77253360421465,
          -40.815254222153456,
          -40.85606307549376,
          -40.89497898033456,
          -40.9320203287585,
          -40.967205101497704,
          -41.00055088010584,
          -41.03207485865582,
          -41.06179385498769,
          -41.089724321527406,
          -41.115882355695646,
          -41.140283709926905,
          -41.16294380131405,
          -41.183877720897385,
          -41.2031002426136,
          -41.22062583191856,
          -41.2364686541003,
          -41.250642582292244,
          -41.263161205204476,
          -41.274037834581215,
          -41.283285512396866,
          -41.29091701780231,
          -41.29694487383341,
          -41.30138135388762,
          -41.30423848798085,
          -41.305528068795425,
          -41.305261657522216,
          -41.30345058951086,
          -41.300105979732194,
          -41.29523872806061,
          -41.28885952438613,
          -41.28097885355882,
          -41.27160700017554,
          -41.26075405321294,
          -41.24842991051315,
          -41.23464428312864,
          -41.21940669952849,
          -41.2027265096768,
          -41.18461288898161,
          -41.16507484212325,
          -41.14412120676619,
          -41.121760657155924,
          -41.09800170760805,
          -41.07285271589215,
          -41.046321886513574,
          -41.01841727389769,
          -40.98914678548002,
          -40.95851818470429,
          -40.92653909393303,
          -40.89321699727323,
          -40.85855924331923,
          -40.822573047816725,
          -40.785265496248584,
          -40.746643546349084,
          -40.7067140305439,
          -40.66548365832099,
          -40.622959018536065,
          -40.57914658164994,
          -40.53405270190647,
          -40.48768361944576,
          -40.44004546236151,
          -40.39114424869886,
          -40.340985888398265,
          -40.28957618518456,
          -40.236920838404885,
          -40.18302544481429,
          -40.12789550031412,
          -40.07153640164262,
          -40.01395344801886,
          -39.95515184274063,
          -39.895136694741,
          -39.83391302010196,
          -39.77148574352556,
          -39.707859699767205,
          -39.64303963502911,
          -39.577030208315406,
          -39.50983599275184,
          -39.44146147686874,
          -39.371911065850874,
          -39.30118908275148,
          -39.229299769674135,
          -39.15624728892374,
          -39.08203572412525,
          -39.00666908131119,
          -38.93015128998138,
          -38.85248620413351,
          -38.77367760326442,
          -38.69372919334439,
          -38.61264460776498,
          -38.53042740826084,
          -38.44708108580582,
          -38.36260906148406,
          -38.27701468733709,
          -38.19030124718594,
          -38.102471957432556,
          -38.01352996783562,
          -37.9234783622663,
          -37.832320159441544,
          -37.74005831363603,
          -37.64669571537252,
          -37.552235192093974,
          -37.456679508813906,
          -37.360031368747826,
          -37.26229341392469,
          -37.16346822578136,
          -37.063558325737205,
          -36.96256617575073,
          -36.86049417885862,
          -36.757344679698264,
          -36.65311996501078,
          -36.547822264130666,
          -36.441453749455206,
          -36.33401653690073,
          -36.22551268634051,
          -36.11594420202839,
          -36.00531303300602,
          -35.893621073496035,
          -35.78087016327778,
          -35.667062088051516,
          -35.552198579784104,
          -35.436281317044426,
          -35.319311925320356,
          -35.20129197732452,
          -35.08222299328568,
          -34.9621064412247,
          -34.840943737218524,
          -34.718736245650355,
          -34.59548527944564,
          -34.47119210029642,
          -34.34585791887037,
          -34.21948389500876,
          -34.09207113790997,
          -33.96362070630245,
          -33.83413360860187,
          -33.70361080305808,
          -33.572053197888536,
          -33.43946165139881,
          -33.305836972091704,
          -33.17117991876403,
          -33.03549120058883,
          -32.89877147718888,
          -32.761021358694514,
          -32.62224140579156,
          -32.482432129755686,
          -32.34159399247616,
          -32.19972740646504,
          -32.05683273485702,
          -31.91291029139449,
          -31.76796034040269,
          -31.621983096750345,
          -31.474978725801222,
          -31.32694734334974,
          -31.177889015548043,
          -31.027803758818145,
          -30.876691539753047,
          -30.72455227500472,
          -30.571385831161223,
          -30.417192024609545,
          -30.261970621386936,
          -30.10572133702047,
          -29.948443836352126,
          -29.790137733352775,
          -29.630802590922517,
          -29.470437920680073,
          -29.30904318273573,
          -29.14661778545581,
          -28.983161085209726,
          -28.818672386108037,
          -28.6531509397239,
          -28.48659594480296,
          -28.319006546960992,
          -28.150381838364513,
          -27.980720857401835,
          -27.810022588338047,
          -27.63828596095767,
          -27.465509850191435,
          -27.2916930757327,
          -27.11683440163574,
          -26.94093253590416,
          -26.763986130061323,
          -26.58599377870994,
          -26.406954019075425,
          -26.226865330535237,
          -26.045726134135013,
          -25.863534792089126,
          -25.680289607266825,
          -25.495988822666234,
          -25.31063062087043,
          -25.124213123492446,
          -24.93673439060499,
          -24.748192420154567,
          -24.558585147363523,
          -24.367910444117477,
          -24.17616611833895,
          -23.983349913347617,
          -23.78945950720665,
          -23.594492512057503,
          -23.39844647344051,
          -23.20131886960403,
          -23.003107110802112,
          -22.80380853858118,
          -22.603420425054367,
          -22.40193997216891,
          -22.1993643109621,
          -21.995690500809893,
          -21.790915528668958,
          -21.585036308313086,
          -21.37804967956407,
          -21.16995240751925,
          -20.9607411817796,
          -20.750412615676556,
          -20.53896324550252,
          -20.326389529745107,
          -20.112687848330747,
          -19.89785450187628,
          -19.68188571095714,
          -19.46477761539061,
          -19.246526273540855,
          -19.027127661651765,
          -18.80657767320832,
          -18.58487211833458,
          -18.36200672323667,
          -18.1379771296928,
          -17.91277889460099,
          -17.686407489594274,
          -17.458858300729574,
          -17.23012662826214,
          -17.00020768651928,
          -16.76909660388417,
          -16.536788422904344,
          -16.303278100543093,
          -16.068560508590974,
          -15.832630434256306,
          -15.595482580960349,
          -15.357111569359096,
          -15.117511938623949,
          -14.876678148008526,
          -14.634604578741827,
          -14.391285536283156,
          -14.146715252986212,
          -13.90088789122208,
          -13.653797547016756,
          -13.405438254267123,
          -13.15580398960628,
          -12.904888677999299,
          -12.65268619915955,
          -12.399190394888954,
          -12.144395077457101,
          -11.88829403915363,
          -11.630881063159459,
          -11.372149935908908,
          -11.112094461136543,
          -10.850708475827243,
          -10.58798586832264,
          -10.323920598870638,
          -10.058506722948776,
          -9.791738417740957,
          -9.523610012201328,
          -9.254116021211294,
          -8.983251184408692,
          -8.711010510363092,
          -8.437389326878206,
          -8.162383338332331,
          -7.885988691118285,
          -7.608202048425075,
          -7.329020675820835,
          -7.048442539352905,
          -6.766466418193543,
          -6.4830920342324685,
          -6.1983202014749486,
          -5.912152998650068,
          -5.624593969114829,
          -5.3356483529629335,
          -5.045323357270451,
          -4.753628471673164,
          -4.460575838049215,
          -4.166180685055573,
          -3.8704618407574047,
          -3.573442339751209,
          -3.275150145219305,
          -2.97561901154876,
          -2.674889519883106,
          -2.3730103277761048,
          -2.0700396857286707,
          -1.7660472888313234,
          -1.4611165525064527,
          -1.1553474295600248,
          -0.8488599245490951,
          -0.5417985154895014,
          -0.23433776917453072,
          0.0733104543614129,
          0.380887653549945,
          0.6880764024217296,
          0.9944839852134899,
          1.2996202478255094,
          1.6028670888577488,
          1.9034355828742173,
          2.2003043201683266,
          2.4788657792989843,
          2.7281761321716758,
          2.9498622123387013,
          3.1460083489536745,
          3.3185686540157473,
          3.469350408362664,
          3.6000245153607335,
          3.7121362211793776,
          3.807114902207976,
          3.886282967313325,
          3.9508639689881733,
          4.001990007162057,
          4.040708498499034,
          4.0679883746677294,
          4.084725765161486,
          4.091749213513411,
          4.089824469944209,
          4.079658898427997,
          4.061905531679788,
          4.037166803497015,
          4.005997984039088,
          3.96891033982722,
          3.926374036228251,
          3.878820795649985,
          3.826646319196603,
          3.7702124725885713,
          3.7098492279101865,
          3.645856340331744,
          3.578504721806179,
          3.508037450312284,
          3.43467032071394,
          3.358591798645192,
          3.279962176660593,
          3.198911644642483,
          3.1155368610574645,
          3.029895426553833,
          2.9419973810244198,
          2.851792420480298,
          2.7591509337842988,
          2.663836411774455,
          2.565467901931967,
          2.463482799991504,
          2.357177536207724,
          2.2462097197885473,
          2.1454619604592438,
          2.0493950372432335,
          1.957685178496399,
          1.859556427325119,
          1.7650693513171272,
          1.6744213026914658,
          1.5867090754881017,
          1.501163813431179,
          1.4171564276617667,
          1.3341346290306904,
          1.2515704658681428,
          1.168909733630129,
          1.085506426433055,
          1.0005104859458458,
          0.9126234766841033,
          0.8194114485891638,
          0.7145602193998575,
          0.626644743064326,
          0.5487742473205167,
          0.4784125113613438,
          0.4150321516891548,
          0.3601817430735347,
          0.30496878435254743,
          0.25248746349620593,
          0.1910990863857009,
          0.1225098185482254,
          0.04693688450309203,
          -0.03652635300974444,
          -0.1305090589608435,
          -0.24224675262656872,
          -0.3520105520301047,
          -0.46065891020440625,
          -0.5625059272159788,
          -0.66172341123622,
          -0.760303607602905,
          -0.8593433780609199,
          -0.9596180543347109,
          -1.0617701656217664,
          -1.1663942655017852,
          -1.2740871491170722,
          -1.3854862202534304,
          -1.5013063806890041,
          -1.6223817472092141,
          -1.7497158430294892,
          -1.884535443637422,
          -2.02830467885644,
          -2.1824962019383123,
          -2.3474592749070875,
          -2.520088238455662,
          -2.694978970248141,
          -2.8696435516127963,
          -3.044328436693063,
          -3.2199111817995445,
          -3.3972138960486173,
          -3.5769096361269357,
          -3.759544807259343,
          -3.945572034810566,
          -4.135376418108075,
          -4.329294629991257,
          -4.527628698800277,
          -4.730656105783727,
          -4.9386373333083124,
          -5.151821609089012,
          -5.370451333748653,
          -5.5947655180909965,
          -5.825002456805482,
          -6.06140180425463,
          -6.304206177636327,
          -6.553662386134278,
          -6.810022364369445,
          -7.073543873032424,
          -7.344491016654408,
          -7.623134617553288,
          -7.9097524760535265,
          -8.204629539276159,
          -8.508057994332308,
          -8.820337296649642,
          -9.141774139491291,
          -9.472682367438974,
          -9.813382833371392,
          -10.164203196010565,
          -10.525477652914526,
          -10.897546601559052,
          -11.280756219594492,
          -11.675457952823843,
          -12.082007898072906,
          -12.500766065410732,
          -12.93209550193415,
          -13.376361256552213,
          -13.833929162076814,
          -14.30516440687113,
          -14.790429864321487,
          -15.290084142989961,
          -15.804479314101021,
          -16.33395826584445,
          -16.878851624917043,
          -17.43947417500537,
          -18.016120688966087,
          -18.609061075276376,
          -19.21853471982555,
          -19.80881401979799,
          -20.37111730873658,
          -20.908108906701344,
          -21.422047203328066,
          -21.91486633693915,
          -22.38823790225399,
          -22.84361834359269,
          -23.282285890670227,
          -23.7053697238502,
          -24.113873276705146,
          -24.508693054075813,
          -24.890633976806,
          -25.260422005601658,
          -25.61871461119456,
          -25.966109523417597,
          -26.303152092753642,
          -26.630341524142693,
          -26.948136187256484,
          -27.256958165151783,
          -27.55719717070837,
          -27.849213935056166,
          -28.133343152490394,
          -28.40989605084454,
          -28.679162643966798,
          -28.941413713089414,
          -29.196902555954832,
          -29.44586653614523,
          -29.688528459834654,
          -29.925097802910816,
          -30.155771807885845,
          -30.38073646710948,
          -30.600167406376734,
          -30.81423068100272,
          -31.023083494744444,
          -31.226874850526144,
          -31.42574614071927,
          -31.619831683709275,
          -31.809259212611558,
          -31.99415032125605,
          -32.17462087192784,
          -32.35078136880065,
          -32.522737300532455,
          -32.690589455082794,
          -32.85443420946149,
          -33.01436379680868,
          -33.17046655294072,
          -33.32282714426085,
          -33.471526778732645,
          -33.616643401430714,
          -33.75825187602717,
          -33.896424153433195,
          -34.03122942869173,
          -34.16273428710742,
          -34.29100284050581,
          -34.41609685442386,
          -34.53807586696342,
          -34.65699729996365,
          -34.772916563094554,
          -34.88588715141357,
          -34.99596073688453,
          -35.10318725430548,
          -35.2076149820627,
          -35.30929061808523,
          -35.40825935134491,
          -35.504564929216805,
          -35.5982497209935,
          -35.68935477781345,
          -35.7779198892539,
          -35.8639836368078,
          -35.94758344445665,
          -36.02875562652732,
          -36.10753543301046,
          -36.183957092504336,
          -36.258053852931724,
          -36.32985802017381,
          -36.39940099474749,
          -36.46671330664608,
          -36.5318246484557,
          -36.59476390685125,
          -36.655559192566294,
          -36.71423786892712,
          -36.77082657903634,
          -36.825351271679224,
          -36.87783722603043,
          -36.92830907522418,
          -36.97679082885396,
          -37.023305894459554,
          -37.06787709805684,
          -37.11052670376222,
          -37.15127643256025,
          -37.1901474802582,
          -37.22716053467366,
          -37.26233579209009,
          -37.29569297302318,
          -37.32725133732923,
          -37.357029698690965,
          -37.385046438510415,
          -37.411319519239,
          -37.43586649717297,
          -37.45870453473912,
          -37.479850412296365,
          -37.499320539475036,
          -37.51713096607688,
          -37.53329739255603,
          -37.54783518010145,
          -37.560759360335766,
          -37.572084644653934,
          -37.58182543321148,
          -37.589995823582676,
          -37.596609619102956,
          -37.60168033690678,
          -37.605221215676494,
          -37.607245223115264,
          -37.60776506315394,
          -37.606793182905804,
          -37.60434177937617,
          -37.60042280594144,
          -37.595047978604974,
          -37.5882287820391,
          -37.57997647542112,
          -37.57030209807476,
          -37.55921647492275,
          -37.5467302217572,
          -37.53285375033705,
          -37.517597273319936,
          -37.5009708090309,
          -37.482984186080266,
          -37.46364704783104,
          -37.44296885672481,
          -37.42095889847171,
          -37.39762628610667,
          -37.372979963920294,
          -37.34702871126759,
          -37.31978114625793,
          -37.29124572933345,
          -37.26143076673695,
          -37.23034441387635,
          -37.197994678585445,
          -37.16438942428865,
          -37.129536373071694,
          -37.09344310865954,
          -37.05611707930909,
          -37.017565600615136,
          -36.977795858234344,
          -36.93681491053305,
          -36.89462969115509,
          -36.851247011518275,
          -36.80667356323989,
          -36.7609159204903,
          -36.713980542284474,
          -36.66587377470511,
          -36.61660185306509,
          -36.56617090401067,
          -36.514586947564055,
          -36.4618558991115,
          -36.407983571335116,
          -36.35297567609352,
          -36.29683782624894,
          -36.23957553744661,
          -36.18119422984514,
          -36.121699229799326,
          -36.06109577149987,
          -35.99938899856652,
          -35.936583965600256,
          -35.87268563969449,
          -35.80769890190486,
          -35.74162854868075,
          -35.67447929325847,
          -35.60625576701885,
          -35.536962520808125,
          -35.466604026225085,
          -35.39518467687284,
          -35.322708789579906,
          -35.24918060558862,
          -35.1746042917118,
          -35.098983941461505,
          -35.022323576145666,
          -34.94462714593905,
          -34.865898530923616,
          -34.78614154210522,
          -34.7053599224008,
          -34.62355734760258,
          -34.540737427314866,
          -34.45690370586992,
          -34.37205966321626,
          -34.286208715787595,
          -34.199354217345295,
          -34.11149945980339,
          -34.02264767402885,
          -33.93280203062217,
          -33.84196564067759,
          -33.750141556523694,
          -33.657332772443205,
          -33.563542225376814,
          -33.46877279560469,
          -33.37302730741295,
          -33.27630852974078,
          -33.17861917681092,
          -33.079961908744295,
          -32.980339332155076,
          -32.87975400073271,
          -32.778208415806475,
          -32.675705026896246,
          -32.5722462322454,
          -32.467834379341205,
          -32.36247176542008,
          -32.25616063795738,
          -32.1489031951463,
          -32.04070158635934,
          -31.93155791259945,
          -31.82147422693627,
          -31.710452534929736,
          -31.598494795042065,
          -31.485602919036275,
          -31.371778772363424,
          -31.257024174536372,
          -31.14134089949416,
          -31.02473067595257,
          -30.90719518774454,
          -30.788736074149842,
          -30.669354930213046,
          -30.54905330705071,
          -30.42783271214885,
          -30.305694609648334,
          -30.182640420622217,
          -30.058671523342273,
          -29.93378925353393,
          -29.807994904624223,
          -29.68128972797836,
          -29.553674933127603,
          -29.425151687986425,
          -29.295721119063412,
          -29.165384311660233,
          -29.034142310062833,
          -28.901996117725083,
          -28.76894669744126,
          -28.634994971512345,
          -28.500141821902577,
          -28.364388090388974,
          -28.227734578701774,
          -28.090182048656093,
          -27.951731222278845,
          -27.812382781923525,
          -27.672137370381222,
          -27.530995590982478,
          -27.38895800769088,
          -27.246025145190814,
          -27.102197488968383,
          -26.957475485383203,
          -26.811859541735682,
          -26.6653500263253,
          -26.51794726850506,
          -26.369651558725927,
          -26.220463148578194,
          -26.07038225082388,
          -25.919409039425826,
          -25.767543649568246,
          -25.61478617767341,
          -25.461136681410746,
          -25.30659517970292,
          -25.151161652725076,
          -24.994836041899266,
          -24.837618249884557,
          -24.679508140561442,
          -24.520505539013357,
          -24.36061023150204,
          -24.19982196544141,
          -24.038140449365397,
          -23.875565352893947,
          -23.71209630669521,
          -23.547732902445752,
          -23.382474692786634,
          -23.216321191280418,
          -23.04927187236365,
          -22.88132617129952,
          -22.7124834841293,
          -22.54274316762505,
          -22.372104539239473,
          -22.200566877060414,
          -22.028129419762745,
          -21.85479136656682,
          -21.680551877195164,
          -21.50541007183654,
          -21.329365031112385,
          -21.152415796048384,
          -20.97456136805391,
          -20.795800708906086,
          -20.616132740744586,
          -20.435556346075767,
          -20.254070367785385,
          -20.07167360916591,
          -19.888364833956565,
          -19.704142766398824,
          -19.519006091308412,
          -19.332953454168425,
          -19.145983461239577,
          -18.95809467969812,
          -18.769285637796397,
          -18.579554825052806,
          -18.3889006924722,
          -18.19732165280204,
          -18.004816080824106,
          -17.811382313688863,
          -17.61701865129329,
          -17.421723356710146,
          -17.22549465666889,
          -17.028330742097182,
          -16.830229768726095,
          -16.63118985776627,
          -16.43120909665953,
          -16.2302855399167,
          -16.028417210045006,
          -15.825602098577004,
          -15.621838167207454,
          -15.417123349051138,
          -15.211455550028465,
          -15.004832650396317,
          -14.79725250643164,
          -14.588712952285913,
          -14.379211802024553,
          -14.168746851869463,
          -13.957315882663314,
          -13.74491666257469,
          -13.531546950071373,
          -13.317204497180693,
          -13.101887053071254,
          -12.885592367981122,
          -12.668318197529636,
          -12.450062307448578,
          -12.230822478775163,
          -12.010596513549974,
          -11.789382241072646,
          -11.56717752477074,
          -11.343980269744,
          -11.119788431052127,
          -10.894600022824314,
          -10.66841312827526,
          -10.441225910724535,
          -10.213036625725016,
          -9.98384363441943,
          -9.75364541826172,
          -9.522440595250586,
          -9.290227937845147,
          -9.057006392754058,
          -8.822775102810349,
          -8.587533431175347,
          -8.351280988145122,
          -8.114017660870498,
          -7.875743646341903,
          -7.636459488040394,
          -7.396166116711185,
          -7.154864895783301,
          -6.912557672030705,
          -6.66924683216159,
          -6.424935366124329,
          -6.179626938038225,
          -5.933325965800422,
          -5.686037710586758,
          -5.437768377659679,
          -5.188525230134344,
          -4.938316717629204,
          -4.68715262206187,
          -4.435044223249158,
          -4.182004487452354,
          -3.928048282586904,
          -3.6731926245216586,
          -3.4174569597512745,
          -3.1608634907791213,
          -2.90343755184094,
          -2.6452080442046673,
          -2.3862079422769136,
          -2.1264748842443217,
          -1.8660518641187434,
          -1.6049880460503207,
          -1.343339726852343,
          -1.081171479234106,
          -0.8185575167131424,
          -0.5555833322679758,
          -0.2923476774082854,
          -0.028964967802172358,
          0.2344317722152921,
          0.4976872783132217,
          0.7606195310379665,
          1.0230140915085943,
          1.2846169257820954,
          1.5451252166687834,
          1.8041754585163339,
          2.061327827754376,
          2.3160453616476846,
          2.5676657612776808,
          2.81536249041857,
          3.058089959610833,
          3.294504382980532,
          3.505304465823825,
          3.6901752220401822,
          3.8510595535701935,
          3.98985663251364,
          4.10832235733481,
          4.208076253190235,
          4.290612397897796,
          4.3573095214783635,
          4.40944016417133,
          4.448178990078776,
          4.474610349275547,
          4.4897351689551055,
          4.494477243486929,
          4.48968898423923,
          4.476156682406172,
          4.454605331544847,
          4.425703050894249,
          4.390065145624026,
          4.348257835728654,
          4.300801681220874,
          4.248174727363552,
          4.190815389660936,
          4.129125094031179,
          4.063470682493362,
          3.9941865885037675,
          3.9215767779658304,
          3.8459164411914677,
          3.7674534064598704,
          3.6864092257826484,
          3.60297985602072,
          3.5173358206660623,
          3.429621685584333,
          3.339954609590108,
          3.248421628333411,
          3.155075181491849,
          3.0599261714997503,
          2.962933504869091,
          2.86398856615026,
          2.762892439428636,
          2.6593234897656908,
          2.552796549837807,
          2.442640242076478,
          2.3281535893340366,
          2.2096268977522953,
          2.1060129800821255,
          2.007599492623812,
          1.9136427275726133,
          1.8136397559511688,
          1.7173120303819538,
          1.6247673245273666,
          1.5351287086573737,
          1.4476449543496732,
          1.3616874018376202,
          1.276690269385651,
          1.1920982126344215,
          1.107310547336453,
          1.0216012575426976,
          0.9339692374111865,
          0.8427814138284998,
          0.7446391799322255,
          0.6414586795287927,
          0.5567688957358439,
          0.4810930822786785,
          0.41266114569339785,
          0.351642429815158,
          0.3010023174410081,
          0.2501098488022323,
          0.1945243642117567,
          0.13068782363589138,
          0.05983923444090989,
          -0.018083400313576675,
          -0.10432573008659624,
          -0.20227331683681865,
          -0.3213800497900286,
          -0.42835700872065224,
          -0.5339870520697679,
          -0.6345101981747365,
          -0.7330368397707827,
          -0.8311861205097547,
          -0.9299292250015612,
          -1.0299865348350057,
          -1.131973508272812,
          -1.2364718043521818,
          -1.3440743439269724,
          -1.4554219472101446,
          -1.57124027558667,
          -1.6923826075347825,
          -1.8198806895194128,
          -1.9549930357401875,
          -2.0991825006543867,
          -2.253730558153622,
          -2.418214491086958,
          -2.588482263226709,
          -2.759647735020131,
          -2.930291460358293,
          -3.100975699688509,
          -3.2725723378806753,
          -3.445842349441683,
          -3.6214005139593866,
          -3.799745129404897,
          -3.981289268441564,
          -4.1663846132440785,
          -4.355338650774727,
          -4.5484270983235,
          -4.7459030394516635,
          -4.948003772168165,
          -5.154956024010293,
          -5.366979964312386,
          -5.5842923049241175,
          -5.8071086946617365,
          -6.035645559088929,
          -6.270121501682189,
          -6.510758357798212,
          -6.75778197433018,
          -7.011422773123387,
          -7.271916144105301,
          -7.539502703678418,
          -7.814428445297598,
          -8.096944802176358,
          -8.387308635464802,
          -8.685782157088731,
          -8.992632791577503,
          -9.308132978420872,
          -9.632559913383833,
          -9.966195224892354,
          -10.309324579401897,
          -10.662237207878155,
          -11.025225343190765,
          -11.39858355684396,
          -11.782607980888566,
          -12.177595398822097,
          -12.58384218688579,
          -13.001643084050142,
          -13.431289765789652,
          -13.87306919269783,
          -14.327261700764312,
          -14.794138794173971,
          -15.273960595582238,
          -15.766972900426115,
          -16.273403773257655,
          -16.793459611858612,
          -17.327320591708634,
          -17.87513538605539,
          -18.435029732448086,
          -18.966239610281686,
          -19.471663376064356,
          -19.953735436204163,
          -20.414523889372933,
          -20.855803278883794,
          -21.27910978575098,
          -21.68578377332237,
          -22.077003051085747,
          -22.45380921539454,
          -22.817128748792765,
          -23.167790097634924,
          -23.50653762612822,
          -23.834043117303235,
          -24.150915327822506,
          -24.45770798430819,
          -24.75492652084437,
          -25.043033791561747,
          -25.322454942548333,
          -25.59358158945352,
          -25.856775417967796,
          -26.112371301699046,
          -26.360680014204732,
          -26.601990597922484,
          -26.836572441596946,
          -27.064677108875273,
          -27.286539953556634,
          -27.502381551151764,
          -27.71240897165979,
          -27.916816914571292,
          -28.11578872390476,
          -28.309497298420776,
          -28.498105909953665,
          -28.681768940952338,
          -28.860632550773577,
          -29.034835278967407,
          -29.204508592692793,
          -29.36977738446068,
          -29.530760425610513,
          -29.687570780240748,
          -29.84031618373199,
          -29.98909938949731,
          -30.134018487164287,
          -30.275167195014177,
          -30.41263512918291,
          -30.546508051842455,
          -30.676868100337085,
          -30.803793999033527,
          -30.92736125545191,
          -31.0476423420841,
          -31.164706865155004,
          -31.27862172145857,
          -31.38945124428157,
          -31.497257339330677,
          -31.60209961148968,
          -31.704035483150992,
          -31.80312030479923,
          -31.899407458455457,
          -31.99294845454191,
          -32.08379302266967,
          -32.17198919681121,
          -32.25758339527618,
          -32.34062049587395,
          -32.42114390661195,
          -32.49919563225171,
          -32.57481633701471,
          -32.648045403706924,
          -32.71892098951075,
          -32.78748007867057,
          -32.85375853228036,
          -32.917791135368255,
          -32.9796116414533,
          -33.0392528147396,
          -33.0967464701001,
          -33.15212351098929,
          -33.205413965414685,
          -33.25664702008727,
          -33.30585105286365,
          -33.35305366358214,
          -33.39828170338885,
          -33.44156130264575,
          -33.48291789750033,
          -33.52237625519664,
          -33.55996049820008,
          -33.595694127202385,
          -33.629600043070276,
          -33.66170056779717,
          -33.692017464510535,
          -33.72057195658974,
          -33.74738474593915,
          -33.77247603046468,
          -33.79586552079335,
          -33.81757245627735,
          -33.837615620318395,
          -33.856013355048354,
          -33.87278357539949,
          -33.88794378259175,
          -33.901511077071525,
          -33.91350217092466,
          -33.92393339979152,
          -33.93282073430792,
          -33.94017979109468,
          -33.94602584331836,
          -33.95037383084132,
          -33.95323836998261,
          -33.95463376290765,
          -33.95457400666078,
          -33.95307280186247,
          -33.950143561080516,
          -33.94579941689431,
          -33.9400532296642,
          -33.932917595018985,
          -33.9244048510732,
          -33.914527085387626,
          -33.90329614168324,
          -33.89072362631959,
          -33.87682091454576,
          -33.86159915653666,
          -33.8450692832207,
          -33.82724201191038,
          -33.808127851740124,
          -33.78773710892379,
          -33.7660798918346,
          -33.743166115918385,
          -33.719005508445164,
          -33.69360761310531,
          -33.666981794455836,
          -33.63913724222602,
          -33.61008297548216,
          -33.57982784666305,
          -33.54838054548604,
          -33.51574960273222,
          -33.481943393912196,
          -33.44697014281982,
          -33.41083792497741,
          -33.373554670973114,
          -33.335128169699324,
          -33.29556607149394,
          -33.25487589118454,
          -33.21306501104557,
          -33.17014068366516,
          -33.12611003473019,
          -33.08098006572671,
          -33.034757656565255,
          -32.987449568128795,
          -32.939062444746476,
          -32.88960281659855,
          -32.83907710205192,
          -32.78749160993033,
          -32.73485254172048,
          -32.68116599371591,
          -32.62643795910266,
          -32.57067432998685,
          -32.51388089936553,
          -32.45606336304475,
          -32.39722732150478,
          -32.33737828171623,
          -32.27652165890511,
          -32.214662778271965,
          -32.151806876665006,
          -32.08795910420871,
          -32.02312452589007,
          -31.95730812310118,
          -31.890514795143865,
          -31.822749360693773,
          -31.754016559226077,
          -31.684321052406453,
          -31.613667425443296,
          -31.542060188408435,
          -31.469503777521137,
          -31.396002556402582,
          -31.321560817295765,
          -31.246182782257367,
          -31.169872604316826,
          -31.09263436860891,
          -31.01447209347763,
          -30.935389731550888,
          -30.855391170791584,
          -30.774480235519928,
          -30.69266068741305,
          -30.609936226478336,
          -30.52631049200456,
          -30.44178706348858,
          -30.356369461540616,
          -30.270061148767084,
          -30.182865530632625,
          -30.094785956300672,
          -30.0058257194549,
          -29.915988059100503,
          -29.825276160347048,
          -29.733693155171764,
          -29.641242123165487,
          -29.547926092260862,
          -29.45374803944371,
          -29.358710891446574,
          -29.26281752542855,
          -29.16607076963535,
          -29.068473404048646,
          -28.970028161016423,
          -28.870737725870985,
          -28.77060473753142,
          -28.669631789093444,
          -28.56782142840479,
          -28.46517615862732,
          -28.36169843878799,
          -28.257390684314032,
          -28.152255267559013,
          -28.046294518316035,
          -27.939510724317937,
          -27.831906131729,
          -27.723482945623463,
          -27.614243330452684,
          -27.504189410505333,
          -27.393323270353434,
          -27.281646955291002,
          -27.169162471761673,
          -27.055871787779026,
          -26.941776833334288,
          -26.826879500798704,
          -26.711181645314444,
          -26.594685085179268,
          -26.477391602221942,
          -26.3593029421697,
          -26.240420815007106,
          -26.12074689532997,
          -26.00028282268972,
          -25.879030201931084,
          -25.75699060352362,
          -25.634165563886402,
          -25.510556585706215,
          -25.386165138249037,
          -25.260992657665845,
          -25.135040547293602,
          -25.008310177950342,
          -24.880802888222775,
          -24.752519984751768,
          -24.623462742512142,
          -24.49363240508646,
          -24.363030184935834,
          -24.231657263665895,
          -24.099514792288478,
          -23.966603891480585,
          -23.83292565183842,
          -23.698481134130517,
          -23.563271369544115,
          -23.427297359932783,
          -23.290560078058736,
          -23.15306046783313,
          -23.014799444556918,
          -22.875777895157142,
          -22.735996678421802,
          -22.595456625236867,
          -22.454158538818277,
          -22.312103194946367,
          -22.169291342199745,
          -22.025723702187882,
          -21.88140096978528,
          -21.736323813367186,
          -21.590492875045648,
          -21.443908770907825,
          -21.29657209125582,
          -21.148483400849475,
          -20.999643239153446,
          -20.850052120585868,
          -20.699710534771363,
          -20.548618946800513,
          -20.396777797492813,
          -20.24418750366566,
          -20.09084845841,
          -19.936761031373678,
          -19.78192556905148,
          -19.626342395083928,
          -19.47001181056669,
          -19.31293409436841,
          -19.155109503460594,
          -18.996538273259656,
          -18.83722061798087,
          -18.677156731007656,
          -18.51634678527544,
          -18.354790933671193,
          -18.192489309451695,
          -18.029442026680307,
          -17.865649180683985,
          -17.7011108485318,
          -17.535827089538348,
          -17.369797945790676,
          -17.20302344270344,
          -17.035503589602094,
          -16.867238380339,
          -16.698227793940035,
          -16.52847179529063,
          -16.35797033585609,
          -16.186723354445867,
          -16.014730778021516,
          -15.84199252255014,
          -15.668508493909558,
          -15.494278588846962,
          -15.319302695996615,
          -15.143580696957882,
          -14.967112467440993,
          -14.789897878483256,
          -14.611936797743171,
          -14.433229090874848,
          -14.253774622991088,
          -14.073573260221238,
          -13.892624871368778,
          -13.710929329679782,
          -13.528486514726657,
          -13.345296314417718,
          -13.161358627140865,
          -12.976673364054529,
          -12.791240451531108,
          -12.605059833772172,
          -12.418131475601111,
          -12.230455365452068,
          -12.042031518569196,
          -11.8528599804316,
          -11.662940830422038,
          -11.47227418576119,
          -11.280860205724451,
          -11.088699096169917,
          -10.895791114396225,
          -10.702136574364648,
          -10.507735852309086,
          -10.312589392771692,
          -10.116697715098457,
          -9.920061420431898,
          -9.722681199248543,
          -9.5245578394845,
          -9.325692235304407,
          -9.126085396568966,
          -8.925738459065743,
          -8.724652695571828,
          -8.522829527826516,
          -8.32027053949826,
          -8.116977490240558,
          -7.9129523309399,
          -7.708197220274949,
          -7.5027145427111135,
          -7.296506928077541,
          -7.0895772728839255,
          -6.881928763556,
          -6.673564901790246,
          -6.464489532247684,
          -6.254706872838577,
          -6.044221547880998,
          -5.833038624443432,
          -5.621163652234883,
          -5.408602707438529,
          -5.195362440948283,
          -4.98145013152184,
          -4.766873744439262,
          -4.551641996332759,
          -4.335764426951746,
          -4.119251478732763,
          -3.902114585176772,
          -3.6843662691823735,
          -3.4660202526573802,
          -3.247091578943289,
          -3.027596749825317,
          -2.8075538791887182,
          -2.586982865730202,
          -2.365905587533711,
          -2.144346121815176,
          -1.9223309937235848,
          -1.699889458796677,
          -1.4770538245265568,
          -1.253859817539639,
          -1.0303470041700835,
          -0.8065592737803137,
          -0.58254539613049,
          -0.3583596665079734,
          -0.13406265535793627,
          0.09027791704511348,
          0.31458615552631874,
          0.538776783033734,
          0.7627537123527175,
          0.9864083468710981,
          1.2096175473810584,
          1.432241184267201,
          1.6541191709409722,
          1.8750678427721326,
          2.0948755027399115,
          2.3132968957281412,
          2.5300462905776198,
          2.7447887316591495,
          2.9571288527705675,
          3.1665963986099364,
          3.3726272293051696,
          3.5745380192009506,
          3.771491979171168,
          3.9624515158041937,
          4.146111397377438,
          4.3176522985648775,
          4.465354154292559,
          4.590578171977796,
          4.6951588639156725,
          4.780809912846357,
          4.849108235490244,
          4.901504387705988,
          4.939333092710016,
          4.963822787893552,
          4.976104256089186,
          4.977218444717588,
          4.968123563711675,
          4.949701540648042,
          4.92276390102577,
          4.888057132792034,
          4.846267586717219,
          4.798025957834823,
          4.743911387563103,
          4.684455221287407,
          4.620144451740693,
          4.551424874404975,
          4.478703977136519,
          4.402353582007106,
          4.322712252709937,
          4.240087475335508,
          4.154757613355735,
          4.0669736286091895,
          3.9769605479217285,
          3.8849186384507064,
          3.7910242323156487,
          3.6954301101654528,
          3.5982653110556018,
          3.499634177659989,
          3.3996143647276167,
          3.298253423253281,
          3.19556340403217,
          3.091512670508214,
          2.986013725573352,
          2.8789053005141083,
          2.769926342069293,
          2.658679900492985,
          2.544592024413539,
          2.4269141537512766,
          2.305031203055259,
          2.1800581330822997,
          2.073584230769219,
          1.972606900223649,
          1.8762145307184583,
          1.7740411521412978,
          1.6756411608522703,
          1.5810609599398915,
          1.489429023266047,
          1.399994489808741,
          1.3121191983500238,
          1.225219099515227,
          1.138710348737539,
          1.0519476717167362,
          0.9641295120270897,
          0.8741087317147148,
          0.7799080581107769,
          0.6770155836890253,
          0.5800840865030352,
          0.4970327668901063,
          0.4225288303504234,
          0.3552822042539614,
          0.2959559533369003,
          0.2467977357120844,
          0.19982472672739762,
          0.14240393479117833,
          0.07706302352813305,
          0.0048019364897065675,
          -0.07459570377518163,
          -0.1625932234893642,
          -0.26312452068948006,
          -0.38671794551407646,
          -0.5036460999759657,
          -0.6075025707280391,
          -0.706800166374092,
          -0.8045837071396533,
          -0.9022150597085936,
          -1.0005626228943207,
          -1.1002990213373154,
          -1.2020156094349106,
          -1.3062827292181778,
          -1.4136906204871567,
          -1.5248848098990464,
          -1.640603393237985,
          -1.7617209149699715,
          -1.889298938746356,
          -2.024623524250452,
          -2.169123493879524,
          -2.323756578816048,
          -2.487098403058711,
          -2.6542428421306776,
          -2.821269483166286,
          -2.987636776058839,
          -3.1540842183881637,
          -3.321445889383741,
          -3.490417529946456,
          -3.6615563644355196,
          -3.835313648714836,
          -4.012063610081689,
          -4.192124863682031,
          -4.375775796887081,
          -4.563265714533306,
          -4.754823062209046,
          -4.9506616034052096,
          -5.150985122078261,
          -5.355991029429063,
          -5.565873134267288,
          -5.78082376255033,
          -6.001035364595196,
          -6.226701717019868,
          -6.458018803925318,
          -6.6951854446181125,
          -6.93840372110988,
          -7.187879247377906,
          -7.443821312215527,
          -7.706442919873319,
          -7.975960745462114,
          -8.252595016799058,
          -8.536569329666182,
          -8.82811039948324,
          -9.127447749813063,
          -9.434813334735253,
          -9.750441090557846,
          -10.074566409731634,
          -10.407425528374313,
          -10.749254816471145,
          -11.100289958313883,
          -11.460765008163207,
          -11.830911304301551,
          -12.210956221677325,
          -12.601121740433527,
          -13.001622804313486,
          -13.412665438567835,
          -13.834444592474378,
          -14.267141665610131,
          -14.710921670561227,
          -15.16592997598058,
          -15.632288564829535,
          -16.11009172960977,
          -16.599401112713753,
          -17.100239981057857,
          -17.599169367684773,
          -18.07179360020854,
          -18.52074761919583,
          -18.948249974621426,
          -19.356189283205676,
          -19.746188941583508,
          -20.119656415714097,
          -20.4778213671116,
          -20.82176555360622,
          -21.15244657139931,
          -21.47071691891749,
          -21.77733946042107,
          -22.073000085878057,
          -22.35831816362178,
          -22.633855238055297,
          -22.900122319184515,
          -23.157586032663254,
          -23.40667384053388,
          -23.647778498553233,
          -23.881261882132335,
          -24.107458286770047,
          -24.326677288522443,
          -24.539206234075195,
          -24.74531241735847,
          -24.945244989590975,
          -25.139236641572335,
          -25.32750509054498,
          -25.5102543986593,
          -25.687676145768926,
          -25.85995047575229,
          -26.02724703263053,
          -26.189725800342643,
          -26.34753785801924,
          -26.50082606092298,
          -26.649725655799283,
          -26.7943648382014,
          -26.934865258335403,
          -27.071342481124734,
          -27.203906405452273,
          -27.33266164693036,
          -27.457707887994037,
          -27.579140198674093,
          -27.69704933098764,
          -27.81152198955939,
          -27.92264108077161,
          -28.030485942495794,
          -28.135132556219563,
          -28.236653743194935,
          -28.335119346053425,
          -28.430596397183105,
          -28.523149275030384,
          -28.612839849366992,
          -28.699727616462898,
          -28.783869825006146,
          -28.86532159353693,
          -28.944136020082208,
          -29.020364284614864,
          -29.094055744906626,
          -29.16525802628591,
          -29.234017105767972,
          -29.30037739098487,
          -29.364381794302222,
          -29.426071802475573,
          -29.485487542172567,
          -29.542667841658012,
          -29.59765028890961,
          -29.650471286415307,
          -29.701166102885363,
          -29.749768922081333,
          -29.796312888963616,
          -29.840830153330234,
          -29.88335191111635,
          -29.923908443499787,
          -29.962529153961786,
          -29.999242603425966,
          -30.034076543596825,
          -30.067057948612973,
          -30.09821304511463,
          -30.12756734082435,
          -30.155145651725462,
          -30.180972127926562,
          -30.20507027828798,
          -30.227462993878493,
          -30.248172570332482,
          -30.26722072917085,
          -30.28462863814184,
          -30.300416930636136,
          -30.314605724229434,
          -30.32721463839785,
          -30.338262811452445,
          -30.34776891673464,
          -30.35575117810692,
          -30.36222738478652,
          -30.3672149055432,
          -30.370730702304435,
          -30.372791343191192,
          -30.373413015017377,
          -30.372611535278185,
          -30.370402363652484,
          -30.366800613043143,
          -30.361821060176972,
          -30.35547815579026,
          -30.347786034411325,
          -30.338758523767865,
          -30.328409153829842,
          -30.316751165510457,
          -30.30379751903793,
          -30.289560902009963,
          -30.274053737156063,
          -30.257288189806594,
          -30.239276175094584,
          -30.220029364893314,
          -30.19955919450537,
          -30.17787686911351,
          -30.154993370002376,
          -30.130919460562925,
          -30.105665692086536,
          -30.079242409360237,
          -30.051659756069107,
          -30.02292768001425,
          -29.993055938156573,
          -29.96205410148808,
          -29.929931559745555,
          -29.896697525964246,
          -29.862361040884164,
          -29.82693097721413,
          -29.790416043755222,
          -29.752824789394147,
          -29.714165606968834,
          -29.674446737010882,
          -29.633676271371375,
          -29.591862156733086,
          -29.549012198015898,
          -29.505134061672656,
          -29.460235278889574,
          -29.41432324868718,
          -29.36740524092607,
          -29.319488399226994,
          -29.270579743798898,
          -29.22068617418877,
          -29.169814471945013,
          -29.117971303208925,
          -29.065163221227817,
          -29.0113966687941,
          -28.95667798061938,
          -28.901013385637686,
          -28.844409009244508,
          -28.786870875472804,
          -28.72840490910777,
          -28.66901693774522,
          -28.608712693790462,
          -28.54749781640554,
          -28.485377853399328,
          -28.42235826307144,
          -28.35844441600227,
          -28.29364159679866,
          -28.227955005789877,
          -28.161389760682926,
          -28.093950898169727,
          -28.025643375496607,
          -27.95647207199091,
          -27.886441790547845,
          -27.815557259082603,
          -27.743823131941745,
          -27.67124399127857,
          -27.597824348399598,
          -27.52356864506965,
          -27.448481254791314,
          -27.372566484047905,
          -27.29582857351917,
          -27.2182716992667,
          -27.139899973887356,
          -27.060717447644937,
          -26.980728109568357,
          -26.899935888530763,
          -26.81834465429524,
          -26.7359582185421,
          -26.652780335870343,
          -26.568814704774976,
          -26.484064968601423,
          -26.39853471648215,
          -26.312227484245998,
          -26.22514675531321,
          -26.13729596156384,
          -26.048678484192507,
          -25.959297654542475,
          -25.869156754920123,
          -25.778259019393673,
          -25.686607634571676,
          -25.59420574036863,
          -25.501056430752346,
          -25.407162754475834,
          -25.312527715794534,
          -25.217154275165356,
          -25.12104534993831,
          -25.024203815026123,
          -24.92663250356636,
          -24.828334207568638,
          -24.729311678545976,
          -24.629567628139174,
          -24.52910472872603,
          -24.427925614017912,
          -24.326032879650015,
          -24.223429083753224,
          -24.120116747522196,
          -24.016098355770282,
          -23.91137635747491,
          -23.805953166313326,
          -23.699831161189458,
          -23.59301268675105,
          -23.485500053898615,
          -23.377295540289165,
          -23.26840139082445,
          -23.158819818140245,
          -23.04855300308123,
          -22.937603095173312,
          -22.825972213088047,
          -22.71366244509932,
          -22.600675849531573,
          -22.48701445521056,
          -22.372680261898026,
          -22.257675240728588,
          -22.14200133463567,
          -22.02566045877958,
          -21.908654500962754,
          -21.790985322048158,
          -21.672654756369635,
          -21.55366461213672,
          -21.434016671842738,
          -21.313712692661696,
          -21.192754406849343,
          -21.071143522136666,
          -20.94888172212335,
          -20.82597066666774,
          -20.702411992277447,
          -20.578207312496442,
          -20.45335821829207,
          -20.327866278440872,
          -20.20173303991497,
          -20.074960028265576,
          -19.947548748010117,
          -19.819500683017118,
          -19.690817296895652,
          -19.561500033380316,
          -19.431550316725048,
          -19.300969552090965,
          -19.169759125945404,
          -19.037920406455104,
          -18.905454743890314,
          -18.77236347102667,
          -18.638647903554222,
          -18.504309340493304,
          -18.369349064608542,
          -18.233768342835553,
          -18.097568426712037,
          -17.960750552811767,
          -17.823315943191545,
          -17.685265805842263,
          -17.546601335148825,
          -17.40732371236221,
          -17.267434106077918,
          -17.12693367272668,
          -16.985823557076944,
          -16.844104892746493,
          -16.701778802734,
          -16.55884639995449,
          -16.415308787799106,
          -16.271167060705277,
          -16.126422304742814,
          -15.981075598222874,
          -15.835128012320736,
          -15.688580611721624,
          -15.541434455284778,
          -15.39369059673584,
          -15.24535008537617,
          -15.096413966823672,
          -14.946883283775843,
          -14.796759076805918,
          -14.646042385186005,
          -14.494734247744034,
          -14.342835703752693,
          -14.190347793859058,
          -14.037271561047225,
          -13.88360805164577,
          -13.729358316374162,
          -13.574523411440355,
          -13.419104399681864,
          -13.263102351759448,
          -13.106518347407494,
          -12.949353476739544,
          -12.79160884161507,
          -12.63328555707378,
          -12.474384752836553,
          -12.314907574881635,
          -12.154855187096382,
          -11.994228773013232,
          -11.83302953763403,
          -11.671258709347079,
          -11.50891754194299,
          -11.346007316737092,
          -11.182529344805436,
          -11.018484969337116,
          -10.853875568118797,
          -10.688702556151823,
          -10.522967388416397,
          -10.356671562789224,
          -10.189816623125685,
          -10.022404162520683,
          -9.854435826755042,
          -9.685913317943546,
          -9.516838398400463,
          -9.347212894732468,
          -9.177038702177654,
          -9.006317789212236,
          -8.835052202435971,
          -8.663244071762072,
          -8.490895615934207,
          -8.318009148391207,
          -8.14458708351017,
          -7.970631943249626,
          -7.796146364230547,
          -7.62113310528497,
          -7.445595055509765,
          -7.269535242862422,
          -7.092956843347729,
          -6.915863190837585,
          -6.73825778757687,
          -6.560144315432246,
          -6.381526647947955,
          -6.2024088632709145,
          -6.022795258024299,
          -5.842690362208518,
          -5.662098955222672,
          -5.48102608309986,
          -5.29947707707079,
          -5.117457573574313,
          -4.934973535847014,
          -4.752031277238895,
          -4.56863748642335,
          -4.384799254673605,
          -4.200524105417063,
          -4.015820026286667,
          -3.8306955039205044,
          -3.64515956178775,
          -3.4592218013600746,
          -3.272892446970865,
          -3.08618239476382,
          -2.8991032661664926,
          -2.7116674663973437,
          -2.5238882485605827,
          -2.3357797839753807,
          -2.147357239455778,
          -1.958636862371978,
          -1.769636074422361,
          -1.5803735751889612,
          -1.3908694567040334,
          -1.2011453304279407,
          -1.0112244682562466,
          -0.8211319594243074,
          -0.63089488546284,
          -0.44054251571225045,
          -0.2501065263091116,
          -0.05962124605477994,
          0.13087606685012085,
          0.3213449125040493,
          0.5117411958974597,
          0.7020168258303454,
          0.8921192583365491,
          1.0819909752706627,
          1.2715688868338122,
          1.4607836445031706,
          1.6495588479376173,
          1.8378101258444532,
          2.025444066250715,
          2.2123569658895725,
          2.398433361092649,
          2.583544293167783,
          2.7675452490509582,
          2.9502737020773924,
          3.1315461566854315,
          3.3111545728392273,
          3.4888620081910395,
          3.6643972645465417,
          3.8374482541702806,
          4.007653702110158,
          4.174592659614208,
          4.337771100048064,
          4.4966045694292776,
          4.650395415070145,
          4.798302428373995,
          4.939299658136695,
          5.072119407249063,
          5.195171520289185,
          5.301939325801862,
          5.388150578929271,
          5.4553378645586665,
          5.505156254260497,
          5.539133454924201,
          5.558670288434065,
          5.565051297022203,
          5.559454710090515,
          5.542961429608363,
          5.516563134396736,
          5.481169605698503,
          5.437615362449592,
          5.386665682411324,
          5.3290220750659385,
          5.265327263495367,
          5.196169725169447,
          5.122087835259828,
          5.043573650596305,
          4.961076367595089,
          4.875005483040651,
          4.785733682422042,
          4.693599476385829,
          4.598909601410988,
          4.501941195787575,
          4.402943755895917,
          4.302140870017763,
          4.199731716758647,
          4.0958923014210304,
          3.990776385104241,
          3.8845160359885162,
          3.7772216976273296,
          3.668981621845597,
          3.559860448662427,
          3.449896624682664,
          3.339098221131901,
          3.2274365205747118,
          3.1148364509411532,
          3.0011625077248834,
          2.8861982017948256,
          2.76961656644167,
          2.6509406656244816,
          2.529506003771176,
          2.404509823083953,
          2.275561407587927,
          2.159431746589987,
          2.0497054850984795,
          1.94582766102252,
          1.8355480598781504,
          1.7302140962354344,
          1.6299106832122334,
          1.5335156062809967,
          1.4400934514364419,
          1.348891513305984,
          1.2592628645491044,
          1.170604848858678,
          1.0823027065457909,
          0.9936601670802317,
          0.9040848417537592,
          0.8120737843005209,
          0.715316683739306,
          0.6082986779596236,
          0.5158297914730325,
          0.4346642232107138,
          0.3616279494631726,
          0.2959646331205857,
          0.23899836372469302,
          0.18178485808011813,
          0.12889602128937486,
          0.06688918526243676,
          -0.0023138554866908826,
          -0.07836750771937069,
          -0.162053620191306,
          -0.2557960446897371,
          -0.3662816251708582,
          -0.47648548874926056,
          -0.585154858076903,
          -0.6862530256170601,
          -0.7842384759378475,
          -0.8811973559555567,
          -0.9782470544511221,
          -1.0761594372757857,
          -1.175560781086291,
          -1.2770195682573942,
          -1.3810970211421862,
          -1.4883843798041005,
          -1.599537531960308,
          -1.7153151843326178,
          -1.8366240864993704,
          -1.9645672752573473,
          -2.10045777432717,
          -2.2456214766511953,
          -2.400404385835326,
          -2.562016018274957,
          -2.7253278000349592,
          -2.8878169174649346,
          -3.0496525050647216,
          -3.2116536291932407,
          -3.374589741058876,
          -3.5390825800315873,
          -3.705627496199366,
          -3.8746258226276504,
          -4.04641073810899,
          -4.221266014783882,
          -4.399439473005211,
          -4.5811527691431,
          -4.76660864713863,
          -4.9559963962322815,
          -5.14949600109365,
          -5.347281310217344,
          -5.549522449318702,
          -5.756387644620869,
          -5.968044580732709,
          -6.184661390179068,
          -6.4064073514312545,
          -6.6334533563077285,
          -6.865972194793999,
          -7.10413869440169,
          -7.348129742276403,
          -7.598124210594713,
          -7.854302799717342,
          -8.116847808304248,
          -8.385942835281911,
          -8.661772415457175,
          -8.944521587362148,
          -9.234375389594652,
          -9.531518279832643,
          -9.836133468563409,
          -10.148402158064279,
          -10.468502674748308,
          -10.796609481538614,
          -11.132892054393082,
          -11.477513605042123,
          -11.830629628961924,
          -12.192386254704497,
          -12.562918366863327,
          -12.942347470997378,
          -13.330779263165617,
          -13.72830086129625,
          -14.13497764787746,
          -14.550849665055951,
          -14.975927492309015,
          -15.410187524287487,
          -15.853566550264201,
          -16.305955517213686,
          -16.742705554550163,
          -17.15562850646158,
          -17.547083082907253,
          -17.91906134876234,
          -18.27326356213467,
          -18.61115450687458,
          -18.934006610262077,
          -19.24293343988831,
          -19.538916074601616,
          -19.822824115276866,
          -20.095432607070848,
          -20.357435803518644,
          -20.609458462901916,
          -20.85206519600089,
          -21.085768260207377,
          -21.31103410384875,
          -21.52828889684403,
          -21.737923232911587,
          -21.940296149885764,
          -22.135738585050046,
          -22.324556359455443,
          -22.507032767280645,
          -22.683430832212764,
          -22.853995281660104,
          -23.01895428070542,
          -23.1785209605539,
          -23.332894770443133,
          -23.48226267728874,
          -23.626800233490194,
          -23.766672530163817,
          -23.902035050467358,
          -24.033034435507144,
          -24.159809173521847,
          -24.28249022152466,
          -24.40120156731154,
          -24.516060738681055,
          -24.627179265793664,
          -24.734663101832982,
          -24.838613006472364,
          -24.939124896087147,
          -25.03629016416642,
          -25.130195974966497,
          -25.220925533086277,
          -25.308558331329923,
          -25.393170378962093,
          -25.47483441221143,
          -25.553620088683846,
          -25.6295941671649,
          -25.70282067412661,
          -25.773361058122997,
          -25.841274333136134,
          -25.906617211817657,
          -25.9694442294908,
          -26.029807859675582,
          -26.087758621842866,
          -26.143345182020933,
          -26.19661444682815,
          -26.247611651448917,
          -26.29638044202343,
          -26.342962952878572,
          -26.387399878986507,
          -26.429730544014504,
          -26.469992964278717,
          -26.508223908910093,
          -26.544458956492925,
          -26.578732548435774,
          -26.611078039294785,
          -26.641527744262063,
          -26.670112984012643,
          -26.69686412708677,
          -26.721810629971475,
          -26.744981075031756,
          -26.76640320643272,
          -26.786103964177958,
          -26.804109516384887,
          -26.820445289911135,
          -26.835135999428857,
          -26.84820567504312,
          -26.859677688545965,
          -26.8695747783825,
          -26.877919073411093,
          -26.88473211552249,
          -26.89003488118834,
          -26.893847802000884,
          -26.896190784255225,
          -26.897083227636273,
          -26.896544043053574,
          -26.894591669674448,
          -26.89124409119788,
          -26.88651885141025,
          -26.880433069061294,
          -26.873003452098438,
          -26.864246311288515,
          -26.854177573262856,
          -26.842812793013966,
          -26.83016716587072,
          -26.816255538981093,
          -26.801092422325326,
          -26.784691999280103,
          -26.767068136764376,
          -26.748234394973718,
          -26.728204036739356,
          -26.70699003651498,
          -26.684605089017378,
          -26.66106161753769,
          -26.63637178193256,
          -26.61054748631432,
          -26.583600386455565,
          -26.555541896918,
          -26.526383197916754,
          -26.49613524193658,
          -26.464808760106923,
          -26.432414268349994,
          -26.398962073308404,
          -26.364462278063165,
          -26.328924787651097,
          -26.29235931439299,
          -26.25477538303561,
          -26.21618233571646,
          -26.176589336762753,
          -26.13600537732747,
          -26.094439279871292,
          -26.051899702493866,
          -26.00839514312338,
          -25.963933943569863,
          -25.918524293446488,
          -25.8721742339656,
          -25.824891661611108,
          -25.77668433169541,
          -25.72755986180679,
          -25.677525735144528,
          -25.626589303755463,
          -25.57475779166614,
          -25.522038297922908,
          -25.468437799537917,
          -25.4139631543471,
          -25.358621103781193,
          -25.302418275555606,
          -25.245361186282654,
          -25.187456244003265,
          -25.128709750647594,
          -25.069127904426818,
          -25.008716802150058,
          -24.94748244148175,
          -24.885430723132657,
          -24.82256745298785,
          -24.758898344177204,
          -24.694429019090233,
          -24.62916501133152,
          -24.563111767625806,
          -24.496274649671076,
          -24.42865893594115,
          -24.360269823440966,
          -24.29111242941373,
          -24.221191793005403,
          -24.150512876883457,
          -24.079080568816718,
          -24.00689968321115,
          -23.933974962608794,
          -23.860311079146285,
          -23.78591263597969,
          -23.710784168672728,
          -23.63493014654951,
          -23.558354974013866,
          -23.481062991838762,
          -23.403058478422352,
          -23.32434565101569,
          -23.244928666918284,
          -23.164811624648287,
          -23.08399856508406,
          -23.00249347258099,
          -22.92030027605843,
          -22.837422850065735,
          -22.753865015824836,
          -22.669630542243773,
          -22.58472314691558,
          -22.499146497087736,
          -22.412904210616517,
          -22.32599985689669,
          -22.238436957773484,
          -22.150218988436382,
          -22.061349378289616,
          -21.971831511811505,
          -21.881668729388455,
          -21.790864328140117,
          -21.699421562722378,
          -21.60734364611554,
          -21.514633750401487,
          -21.42129500751895,
          -21.327330510011656,
          -21.232743311755517,
          -21.137536428679606,
          -21.041712839468996,
          -20.945275486257618,
          -20.84822727530748,
          -20.75057107767868,
          -20.652309729883793,
          -20.553446034538396,
          -20.453982760992947,
          -20.35392264596248,
          -20.253268394140168,
          -20.152022678805665,
          -20.05018814242357,
          -19.947767397231797,
          -19.844763025824445,
          -19.741177581725307,
          -19.637013589953796,
          -19.5322735475823,
          -19.426959924291285,
          -19.32107516291297,
          -19.214621679972687,
          -19.10760186621967,
          -19.000018087158317,
          -18.89187268356982,
          -18.783167972030775,
          -18.67390624542784,
          -18.564089773464996,
          -18.45372080317272,
          -18.34280155940743,
          -18.231334245349693,
          -18.119321043004202,
          -18.006764113689226,
          -17.893665598530422,
          -17.780027618947795,
          -17.6658522771462,
          -17.55114165659924,
          -17.435897822535328,
          -17.320122822423993,
          -17.2038186864596,
          -17.086987428046168,
          -16.969631044282472,
          -16.8517515164485,
          -16.733350810491803,
          -16.61443087751861,
          -16.494993654283945,
          -16.37504106368224,
          -16.254575015248218,
          -16.13359740565186,
          -16.01211011920367,
          -15.890115028361611,
          -15.767613994240998,
          -15.644608867131476,
          -15.521101487021804,
          -15.397093684122774,
          -15.272587279406157,
          -15.147584085142388,
          -15.022085905450915,
          -14.896094536857827,
          -14.76961176886094,
          -14.642639384503726,
          -14.515179160961313,
          -14.387232870135211,
          -14.258802279259692,
          -14.129889151520535,
          -14.000495246687107,
          -13.87062232175645,
          -13.740272131611993,
          -13.609446429697101,
          -13.478146968706858,
          -13.34637550129392,
          -13.214133780793508,
          -13.08142356196612,
          -12.94824660176301,
          -12.81460466010807,
          -12.680499500708226,
          -12.545932891879419,
          -12.410906607403193,
          -12.275422427408213,
          -12.139482139276856,
          -12.00308753858037,
          -11.86624043004929,
          -11.728942628570627,
          -11.5911959602195,
          -11.45300226333025,
          -11.314363389598157,
          -11.175281205228075,
          -11.03575759211743,
          -10.895794449088847,
          -10.755393693166486,
          -10.614557260898183,
          -10.473287109733555,
          -10.331585219453169,
          -10.1894535936555,
          -10.046894261304299,
          -9.903909278337656,
          -9.76050072934603,
          -9.616670729318145,
          -9.47242142546554,
          -9.327754999120451,
          -9.18267366772044,
          -9.03717968688136,
          -8.891275352559347,
          -8.744963003314426,
          -8.598245022676556,
          -8.451123841621861,
          -8.30360194116351,
          -8.155681855068355,
          -8.00736617270386,
          -7.8586575420193805,
          -7.709558672679577,
          -7.560072339348523,
          -7.4102013851438775,
          -7.259948725259278,
          -7.109317350781694,
          -6.958310332698254,
          -6.806930826120571,
          -6.655182074727721,
          -6.5030674154508405,
          -6.350590283408679,
          -6.197754217117677,
          -6.0445628639871165,
          -5.891019986123978,
          -5.737129466465142,
          -5.582895315261512,
          -5.428321676939573,
          -5.273412837359923,
          -5.11817323150967,
          -4.962607451653143,
          -4.806720255977442,
          -4.650516577766565,
          -4.494001535144831,
          -4.337180441429628,
          -4.180058816142344,
          -4.022642396726124,
          -3.8649371510223327,
          -3.7069492905686015,
          -3.5486852847841486,
          -3.390151876105651,
          -3.2313560961603325,
          -3.072305283054547,
          -2.9130070998719115,
          -2.7534695544832446,
          -2.5937010207786853,
          -2.4337102614480868,
          -2.2735064524372324,
          -2.113099209238323,
          -1.9524986151708175,
          -1.7917152518410744,
          -1.630760231975424,
          -1.4696452348532836,
          -1.30838254459109,
          -1.1469850915432975,
          -0.9854664971364432,
          -0.8238411224733092,
          -0.6621241210896649,
          -0.5003314962916934,
          -0.3384801635582707,
          -0.1765880185400085,
          -0.014674011265566753,
          0.14724177275606734,
          0.3091380237714842,
          0.47099211047267503,
          0.6327799731506201,
          0.7944760061774596,
          0.9560529285251045,
          1.117481640844437,
          1.27873106740994,
          1.4397679809847725,
          1.600556808359179,
          1.7610594139715945,
          1.9212348585985062,
          2.0810391296167574,
          2.240424838749998,
          2.3993408825166074,
          2.5577320597510282,
          2.715538639562076,
          2.8726958718635855,
          3.0291334311228986,
          3.1847747821432377,
          3.339536454460326,
          3.4933272091602268,
          3.6460470784747723,
          3.797586254214558,
          3.9478237956625346,
          4.0966261206857215,
          4.24384523503878,
          4.389316643541876,
          4.53285687214881,
          4.674260510741135,
          4.813296661112478,
          4.949704640741961,
          5.0831887472322395,
          5.213411825811678,
          5.33998729583448,
          5.462469170847583,
          5.580339433801154,
          5.692991878230355,
          5.799711155949612,
          5.8996452136813895,
          5.991768440309203,
          6.074831484558689,
          6.147291484780601,
          6.207212718642179,
          6.249412252655784,
          6.274537132268788,
          6.284145412251789,
          6.279697821844686,
          6.262529164895269,
          6.233858408262824,
          6.194799025510616,
          6.1463682989535355,
          6.089495670384965,
          6.02503025568307,
          5.953747622265387,
          5.876355914068578,
          5.793501396943059,
          5.705773487475895,
          5.613709319925814,
          5.517797898840674,
          5.418483878894614,
          5.3161710080781805,
          5.211225265675448,
          5.103977722021179,
          4.994727142799066,
          4.883742356292442,
          4.771264397232649,
          4.657508435403274,
          4.542665490221545,
          4.4269039237648204,
          4.310370692968253,
          4.193192325981091,
          4.075475566204622,
          3.95730759854494,
          3.8387557327592714,
          3.7198663646582837,
          3.600662961278711,
          3.481142711094546,
          3.361272580464512,
          3.240978347548959,
          3.120143640517236,
          2.998573204658308,
          2.8759650283344103,
          2.7519240644466985,
          2.625874336721939,
          2.4970486601986197,
          2.3646512239326767,
          2.228912935020397,
          2.110750242192392,
          1.9994592323860307,
          1.894058838932678,
          1.7826399240665347,
          1.6761172249257938,
          1.574753356427515,
          1.4770449431679642,
          1.38238602676008,
          1.2897005702226902,
          1.1985425982453013,
          1.1082983020966315,
          1.0183154204424467,
          0.9278293723998532,
          0.835816083652715,
          0.7406492402713383,
          0.6390388003827701,
          0.5213984664824909,
          0.4344246294816459,
          0.35682460490228024,
          0.28687749823771086,
          0.22474711356343546,
          0.1735601870819888,
          0.1222304961621645,
          0.06558903985206033,
          0.0007637770551292509,
          -0.0709639085486352,
          -0.1496199085766753,
          -0.23551399988189567,
          -0.33370145240793325,
          -0.4525235323510834,
          -0.5586676913625048,
          -0.6630694778290608,
          -0.7621125686093689,
          -0.8588773013310197,
          -0.9549650019792334,
          -1.051329610743275,
          -1.1486706362485006,
          -1.247577769006954,
          -1.3486009621019832,
          -1.452294184136445,
          -1.5592502480426516,
          -1.670135190089196,
          -1.7857273925149149,
          -1.9069633177942509,
          -2.034979309450047,
          -2.1710844048767486,
          -2.3163889857235107,
          -2.470375105587176,
          -2.6290598735997217,
          -2.7878837942842063,
          -2.945565410411018,
          -3.1025511122136082,
          -3.2598318229751175,
          -3.418037864097414,
          -3.5777061226516444,
          -3.7392765167522906,
          -3.9031048383656617,
          -4.069486230828532,
          -4.238671610992201,
          -4.410879486885416,
          -4.58630458794319,
          -4.765124277041921,
          -4.947503377323238,
          -5.133597831009386,
          -5.323557473501688,
          -5.517528123022643,
          -5.715653133447832,
          -5.918074523327195,
          -6.124933769245794,
          -6.336372333573606,
          -6.552531981513589,
          -6.773554930635578,
          -6.9995838658095515,
          -7.2307618441028065,
          -7.467232107207554,
          -7.709137813317582,
          -7.956621695502464,
          -8.209825649941806,
          -8.46889025409629,
          -8.73395421240107,
          -9.005153724523442,
          -9.282621769514394,
          -9.566487297107505,
          -9.856874315609026,
          -10.153900863926841,
          -10.457677853413,
          -10.768307762773382,
          -11.085883166991495,
          -11.41048507828708,
          -11.74218107403067,
          -12.081023182235077,
          -12.427045491405494,
          -12.780261445419356,
          -13.140660778360013,
          -13.50820603599425,
          -13.882828621596616,
          -14.264424292325847,
          -14.652848018727788,
          -15.04790810280983,
          -15.447731925610185,
          -15.823539450635423,
          -16.1778503373512,
          -16.512773816935276,
          -16.830096061812146,
          -17.131345098252694,
          -17.41783991881529,
          -17.69072824260992,
          -17.951015966113147,
          -18.19959042988656,
          -18.437239013757036,
          -18.66466415517419,
          -18.882495595197692,
          -19.091300451513817,
          -19.291591570782973,
          -19.483834505601514,
          -19.6684533825018,
          -19.845835868595103,
          -20.016337400126194,
          -20.180284802423056,
          -20.337979404760123,
          -20.489699733497556,
          -20.635703851102214,
          -20.776231396227484,
          -20.911505370171177,
          -21.041733707131332,
          -21.167110659346026,
          -21.28781802305642,
          -21.404026227052846,
          -21.51589530213809,
          -21.623575747025054,
          -21.727209303851637,
          -21.826929654566197,
          -21.922863047812957,
          -22.015128864598708,
          -22.103840129882617,
          -22.18910397626256,
          -22.271022065123617,
          -22.349690969914423,
          -22.42520252562738,
          -22.49764414804733,
          -22.567099125903134,
          -22.633646888676353,
          -22.697363252499237,
          -22.758320646286016,
          -22.81658832001023,
          -22.8722325368149,
          -22.9253167504615,
          -22.975901769462613,
          -23.024045909098604,
          -23.069805132390133,
          -23.113233180991827,
          -23.154381696876193,
          -23.19330033558094,
          -23.23003687172893,
          -23.264637297450278,
          -23.29714591428623,
          -23.32760541908769,
          -23.356056984388715,
          -23.38254033367397,
          -23.407093811940033,
          -23.42975445189923,
          -23.450558036148667,
          -23.46953915560844,
          -23.486731264491418,
          -23.502166732056796,
          -23.515876891372237,
          -23.52789208529487,
          -23.53824170986269,
          -23.54695425527061,
          -23.55405734459277,
          -23.559577770406854,
          -23.56354152944893,
          -23.565973855432883,
          -23.56689925014996,
          -23.566341512957084,
          -23.56432376875444,
          -23.560868494548004,
          -23.555997544682608,
          -23.549732174821504,
          -23.542093064756557,
          -23.53310034011019,
          -23.522773592998927,
          -23.511131901716226,
          -23.498193849490267,
          -23.483977542373438,
          -23.46850062630964,
          -23.451780303420303,
          -23.43383334756461,
          -23.414676119197622,
          -23.39432457958082,
          -23.37279430436417,
          -23.35010049658486,
          -23.32625799910717,
          -23.30128130653474,
          -23.275184576620266,
          -23.247981641201406,
          -23.219686016686428,
          -23.19031091410645,
          -23.159869248765155,
          -23.128373649499544,
          -23.095836467570134,
          -23.06226978520314,
          -23.02768542379815,
          -22.992094951817894,
          -22.95550969237204,
          -22.917940730517895,
          -22.879398920281577,
          -22.839894891416204,
          -22.79943905591067,
          -22.758041614261632,
          -22.715712561509918,
          -22.672461693065124,
          -22.62829861031752,
          -22.583232726052763,
          -22.537273269672554,
          -22.4904292922355,
          -22.442709671320944,
          -22.394123115726014,
          -22.344678170004503,
          -22.294383218845766,
          -22.24324649131445,
          -22.191276064941626,
          -22.13847986968651,
          -22.084865691762875,
          -22.03044117734549,
          -21.975213836152758,
          -21.919191044918257,
          -21.862380050747873,
          -21.804787974376154,
          -21.74642181331438,
          -21.68728844490577,
          -21.627394629283987,
          -21.566747012243976,
          -21.50535212801979,
          -21.443216401986813,
          -21.38034615327486,
          -21.31674759731109,
          -21.252426848282536,
          -21.187389921529174,
          -21.121642735869386,
          -21.055191115854964,
          -20.988040793962604,
          -20.92019741272695,
          -20.851666526807545,
          -20.78245360500436,
          -20.71256403221364,
          -20.642003111331984,
          -20.57077606510672,
          -20.498888037940844,
          -20.426344097642062,
          -20.353149237132545,
          -20.279308376111896,
          -20.204826362672673,
          -20.129707974880965,
          -20.05395792231017,
          -19.977580847539183,
          -19.90058132761176,
          -19.82296387546064,
          -19.744732941293783,
          -19.665892913949545,
          -19.58644812221781,
          -19.50640283612823,
          -19.42576126820945,
          -19.344527574716658,
          -19.26270585683372,
          -19.180300161843387,
          -19.097314484274335,
          -19.0137527670201,
          -18.929618902433003,
          -18.844916733396037,
          -18.759650054367594,
          -18.673822612407115,
          -18.58743810817642,
          -18.50050019692286,
          -18.41301248943608,
          -18.324978552993567,
          -18.236401912279295,
          -18.147286050287793,
          -18.057634409210557,
          -17.96745039130431,
          -17.876737359742414,
          -17.78549863945067,
          -17.693737517926916,
          -17.6014572460483,
          -17.50866103886006,
          -17.41535207635502,
          -17.321533504234992,
          -17.227208434663062,
          -17.132379947002498,
          -17.0370510885421,
          -16.941224875211866,
          -16.84490429228788,
          -16.748092295084643,
          -16.650791809639372,
          -16.553005733385426,
          -16.454736935817543,
          -16.355988259146027,
          -16.25676251894444,
          -16.15706250478965,
          -16.05689098089242,
          -15.956250686720196,
          -15.85514433761563,
          -15.75357462540805,
          -15.651544219014951,
          -15.549055765043553,
          -15.446111888381312,
          -15.34271519278539,
          -15.238868261466479,
          -15.134573657665973,
          -15.029833925232012,
          -14.924651589190706,
          -14.819029156313507,
          -14.712969115682574,
          -14.606473939251547,
          -14.499546082409067,
          -14.392187984533408,
          -14.28440206955114,
          -14.17619074649187,
          -14.067556410042089,
          -13.958501441102085,
          -13.849028207337184,
          -13.739139063732894,
          -13.628836353150781,
          -13.518122406883824,
          -13.406999545214607,
          -13.295470077973398,
          -13.183536305100526,
          -13.071200517211183,
          -12.95846499616175,
          -12.845332015620507,
          -12.731803841642927,
          -12.617882733250035,
          -12.503570943011164,
          -12.38887071763525,
          -12.273784298563141,
          -12.158313922570764,
          -12.04246182237495,
          -11.926230227248418,
          -11.809621363644133,
          -11.692637455824098,
          -11.575280726499436,
          -11.457553397482476,
          -11.339457690341996,
          -11.220995827076063,
          -11.102170030792221,
          -10.98298252640099,
          -10.86343554132349,
          -10.743531306208965,
          -10.62327205566794,
          -10.502660029024323,
          -10.38169747107508,
          -10.260386632875436,
          -10.138729772534415,
          -10.016729156033122,
          -9.894387058060046,
          -9.771705762868548,
          -9.648687565153276,
          -9.525334770950613,
          -9.401649698564148,
          -9.277634679510676,
          -9.153292059496506,
          -9.028624199417846,
          -8.90363347639178,
          -8.77832228481697,
          -8.652693037464816,
          -8.52674816660488,
          -8.40049012516224,
          -8.273921387916207,
          -8.147044452732668,
          -8.01986184183839,
          -7.892376103137966,
          -7.764589811573279,
          -7.636505570530431,
          -7.508126013294256,
          -7.3794538045557125,
          -7.250491641970169,
          -7.1212422577742025,
          -6.991708420462145,
          -6.86189293652255,
          -6.731798652239475,
          -6.601428455566569,
          -6.470785278069548,
          -6.339872096945109,
          -6.208691937121147,
          -6.077247873440222,
          -5.945543032932704,
          -5.813580597180138,
          -5.681363804779881,
          -5.548895953911533,
          -5.41618040501257,
          -5.2832205835717305,
          -5.150019983038306,
          -5.016582167863174,
          -4.882910776674165,
          -4.749009525595448,
          -4.614882211713598,
          -4.480532716708506,
          -4.345965010647628,
          -4.21118315596207,
          -4.076191311609762,
          -3.940993737437676,
          -3.805594798758292,
          -3.6699989711477126,
          -3.5342108454826158,
          -3.398235133229677,
          -3.262076672002915,
          -3.125740431405399,
          -2.989231519172852,
          -2.852555187641534,
          -2.7157168405530347,
          -2.5787220402303848,
          -2.4415765151359956,
          -2.3042861678461146,
          -2.1668570834671224,
          -2.029295538520978,
          -1.89160801033504,
          -1.753801186969643,
          -1.6158819777192548,
          -1.477857524230578,
          -1.3397352122809236,
          -1.2015226842602607,
          -1.0632278524139664,
          -0.9248589128984938,
          -0.7864243607138113,
          -0.6479330055735584,
          -0.5093939887894551,
          -0.370816801247915,
          -0.23221130256086295,
          -0.09358774148599348,
          0.045043222278079414,
          0.18367049481717343,
          0.32228252311977074,
          0.4608672684526299,
          0.5994121778528831,
          0.7379041535694476,
          0.8763295202736726,
          1.01467398984595,
          1.1529226235191896,
          1.291059791137572,
          1.429069127264581,
          1.566933483843784,
          1.70463487908377,
          1.8421544422043594,
          1.9794723536284256,
          2.1165677801739573,
          2.253418804730048,
          2.3900023498457106,
          2.5262940945976053,
          2.662268384006291,
          2.797898130195344,
          2.933154704371278,
          3.0680078185889674,
          3.2024253961176363,
          3.336373429070576,
          3.469815821771773,
          3.602714218104877,
          3.735027810851858,
          3.8667131307134963,
          3.997723812366391,
          4.128010334491747,
          4.257519730224852,
          4.386195263897548,
          4.513976069256959,
          4.640796743513989,
          4.766586890597576,
          4.89127060578578,
          5.014765892449969,
          5.136983999883975,
          5.257828669041731,
          5.377195270365468,
          5.494969814608085,
          5.611027813493725,
          5.7252329619619795,
          5.837435607330349,
          5.947470962558298,
          6.055157010402573,
          6.160292031824831,
          6.262651674594097,
          6.361985455164074,
          6.458012556632079,
          6.5504167450817,
          6.6388401717799415,
          6.722875753587587,
          6.8020577196524,
          6.875849765547525,
          6.943630045810844,
          7.0046719297274604,
          7.058118990872559,
          7.102952012075425,
          7.13794471796695,
          7.1616032418762785,
          7.172081531095702,
          7.167312449029904,
          7.147493969390151,
          7.114139014545178,
          7.068642247930622,
          7.012268723508714,
          6.946167586631209,
          6.871383167764073,
          6.78886468201415,
          6.699474875613085,
          6.603997767476207,
          6.503145598394462,
          6.397565082796653,
          6.287843044152588,
          6.174511503876395,
          6.058052283957968,
          5.9389011755664,
          5.817451719000701,
          5.6940586344768445,
          5.569040937953958,
          5.4426847715787305,
          5.315245973867376,
          5.186952410362442,
          5.058006081001685,
          4.9285850152511,
          4.79884495994756,
          4.668920857125523,
          4.5389280990761485,
          4.4089636494394435,
          4.279106459480347,
          4.14941874059595,
          4.019944082164589,
          3.890706586341946,
          3.7617131624617315,
          3.6329471541420033,
          3.504365180277236,
          3.3758908964335212,
          3.247405739828388,
          3.1187354465975723,
          2.989630517322604,
          2.8597382210022277,
          2.7285643514517632,
          2.5954313703471596,
          2.4594890851665077,
          2.3200734487101964,
          2.178499854517892,
          2.058925866133343,
          1.9463545270698033,
          1.8396132445638376,
          1.7272053595385306,
          1.6196323689105405,
          1.5168417613098504,
          1.4178015356965903,
          1.3216367641740017,
          1.2276142224307764,
          1.1350747672913934,
          1.0433732744619084,
          0.9518125029132716,
          0.8606411105078643,
          0.7664914469135675,
          0.6684313607649982,
          0.5618894745148596,
          0.4615831146557634,
          0.376096893692979,
          0.2996864039023532,
          0.23092380210303817,
          0.1703936584660123,
          0.12057597749131872,
          0.0727225694593899,
          0.014691807726397072,
          -0.05121203611348175,
          -0.12390779281463433,
          -0.203545815879831,
          -0.2915114499396724,
          -0.38626219143609536,
          -0.508070743265162,
          -0.6128093562396033,
          -0.7156711859151181,
          -0.8136253616715949,
          -0.9094463211877296,
          -1.0046158453305403,
          -1.1000401585498685,
          -1.1963931272771695,
          -1.2942473065493634,
          -1.3941391963854939,
          -1.4966108725285263,
          -1.6022437324096506,
          -1.711692216465668,
          -1.8257223036957646,
          -1.9452558801571669,
          -2.0714076839579962,
          -2.2054390820095198,
          -2.348320034050864,
          -2.4991870576879767,
          -2.6538116679834,
          -2.8080248081737245,
          -2.960904580529174,
          -3.1130601700809923,
          -3.2652759615245732,
          -3.4182094928318985,
          -3.5723781545416027,
          -3.728190167231216,
          -3.8859737777170382,
          -4.045999012942928,
          -4.208479119428607,
          -4.373627479316657,
          -4.541621856270206,
          -4.712609107612596,
          -4.88673325954044,
          -5.064125909976512,
          -5.244913648170188,
          -5.4292182003472345,
          -5.617157885271151,
          -5.808848607855167,
          -6.004404531807618,
          -6.203938496694213,
          -6.407562231858545,
          -6.61538640813533,
          -6.827520558257608,
          -7.044072888901243,
          -7.265150000503541,
          -7.490856525450099,
          -7.721294690871381,
          -7.956563808331576,
          -8.196759690034115,
          -8.441973988250071,
          -8.692293452777383,
          -8.947799099098527,
          -9.208565278181844,
          -9.474658636968238,
          -9.746136956745314,
          -10.023047854644151,
          -10.305427331317738,
          -10.593298145164937,
          -10.886667990897976,
          -11.185527456766028,
          -11.489847730789025,
          -11.799578022065162,
          -12.114642657375935,
          -12.434937807121175,
          -12.760327786681486,
          -13.090640869736715,
          -13.425664538729327,
          -13.765140083400746,
          -14.10875644101394,
          -14.451754609882757,
          -14.772623879073368,
          -15.073705346868705,
          -15.356958677141469,
          -15.624043147358833,
          -15.876377921637763,
          -16.115187687523854,
          -16.341537765160503,
          -16.556361503443647,
          -16.760481931539836,
          -16.954629068055787,
          -17.139453903658847,
          -17.315539804176954,
          -17.483411891150297,
          -17.643544820353203,
          -17.796369279463924,
          -17.942277452797832,
          -18.08162764636407,
          -18.21474822526774,
          -18.34194098405882,
          -18.46348404645534,
          -18.579634372118235,
          -18.69062993346944,
          -18.796691613979654,
          -18.898024870156032,
          -18.99482119211618,
          -19.08725939171669,
          -19.17550674241559,
          -19.25971999115432,
          -19.340046259342596,
          -19.41662384741099,
          -19.489582955220712,
          -19.559046328812638,
          -19.625129842472656,
          -19.687943023830055,
          -19.747589528639022,
          -19.804167571001422,
          -19.857770314022094,
          -19.908486225248165,
          -19.956399400683853,
          -20.001589860704343,
          -20.04413382078445,
          -20.084103939607125,
          -20.121569546813465,
          -20.15659685239718,
          -20.189249139512842,
          -20.21958694227434,
          -20.247668209945445,
          -20.27354845876773,
          -20.297280912547667,
          -20.318916632995432,
          -20.33850464071784,
          -20.356092027666833,
          -20.37172406176892,
          -20.38544428438779,
          -20.39729460121319,
          -20.40731536710447,
          -20.415545465377047,
          -20.422022381963558,
          -20.42678227485575,
          -20.429860039180934,
          -20.4312893682495,
          -20.431102810868587,
          -20.429331825201295,
          -20.426006829418974,
          -20.421157249377444,
          -20.414811563529394,
          -20.406997345265236,
          -20.397741302857995,
          -20.38706931717674,
          -20.37500647732308,
          -20.36157711431935,
          -20.34680483298899,
          -20.330712542133558,
          -20.313322483128193,
          -20.29465625702532,
          -20.27473485026764,
          -20.25357865909314,
          -20.23120751271638,
          -20.207640695350893,
          -20.18289696715572,
          -20.156994584160593,
          -20.1299513172296,
          -20.101784470128415,
          -20.0725108967336,
          -20.042147017444762,
          -20.01070883483713,
          -19.978211948599547,
          -19.9446715697989,
          -19.91010253450305,
          -19.874519316802726,
          -19.837936041261344,
          -19.800366494824953,
          -19.76182413821656,
          -19.72232211684931,
          -19.681873271275585,
          -19.640490147201987,
          -19.598185005086027,
          -19.554969829343655,
          -19.51085633717883,
          -19.46585598705809,
          -19.419979986847604,
          -19.37323930163032,
          -19.325644661211903,
          -19.277206567339924,
          -19.227935300640485,
          -19.17784092729449,
          -19.1269333054599,
          -19.075222091451145,
          -19.0227167456906,
          -18.96942653844115,
          -18.91536055532808,
          -18.86052770266182,
          -18.804936712568516,
          -18.748596147938215,
          -18.69151440719949,
          -18.633699728924967,
          -18.575160196277036,
          -18.515903741303504,
          -18.455938149081714,
          -18.39527106172636,
          -18.333909982259385,
          -18.271862278353698,
          -18.20913518595263,
          -18.14573581276953,
          -18.08167114167314,
          -18.016948033967058,
          -17.95157323256031,
          -17.885553365041414,
          -17.818894946652144,
          -17.751604383170893,
          -17.683687973705517,
          -17.615151913401462,
          -17.546002296067226,
          -17.476245116719056,
          -17.40588627405261,
          -17.33493157283981,
          -17.26338672625223,
          -17.191257358122154,
          -17.118549005135637,
          -17.04526711895901,
          -16.971417068313183,
          -16.89700414098077,
          -16.822033545762963,
          -16.746510414381017,
          -16.670439803322804,
          -16.593826695642548,
          -16.516676002710227,
          -16.43899256591539,
          -16.36078115832482,
          -16.282046486296544,
          -16.20279319105438,
          -16.12302585021706,
          -16.04274897929538,
          -15.961967033145674,
          -15.880684407388214,
          -15.798905439793517,
          -15.71663441163231,
          -15.633875548993595,
          -15.550633024070658,
          -15.466910956416418,
          -15.382713414171299,
          -15.298044415261984,
          -15.21290792857038,
          -15.12730787508078,
          -15.041248128996136,
          -14.954732518836705,
          -14.867764828507134,
          -14.780348798346868,
          -14.69248812615428,
          -14.60418646819469,
          -14.51544744017969,
          -14.426274618236018,
          -14.336671539847561,
          -14.246641704784915,
          -14.156188576011406,
          -14.06531558057807,
          -13.974026110497173,
          -13.882323523602205,
          -13.790211144392861,
          -13.697692264863672,
          -13.604770145321169,
          -13.511448015183497,
          -13.417729073772826,
          -13.323616491087904,
          -13.2291134085698,
          -13.13422293985731,
          -13.038948171524755,
          -12.943292163815146,
          -12.847257951363206,
          -12.750848543902785,
          -12.654066926974286,
          -12.556916062613668,
          -12.45939889004047,
          -12.361518326334696,
          -12.263277267107032,
          -12.164678587161461,
          -12.065725141152873,
          -11.966419764234098,
          -11.866765272703287,
          -11.766764464642293,
          -11.666420120548771,
          -11.565735003966434,
          -11.46471186211066,
          -11.363353426487437,
          -11.261662413512116,
          -11.159641525123194,
          -11.057293449393889,
          -10.954620861142383,
          -10.851626422536102,
          -10.748312783699241,
          -10.644682583318033,
          -10.540738449240152,
          -10.436482999081202,
          -10.331918840825535,
          -10.22704857342982,
          -10.121874787426817,
          -10.016400065527735,
          -9.910626983231705,
          -9.804558109432634,
          -9.698196007026539,
          -9.591543233528961,
          -9.484602341686493,
          -9.377375880099398,
          -9.269866393844092,
          -9.162076425098888,
          -9.054008513779273,
          -8.945665198174398,
          -8.837049015590289,
          -8.72816250300167,
          -8.619008197705362,
          -8.509588637987289,
          -8.39990636379175,
          -8.289963917401574,
          -8.17976384412798,
          -8.069308693008166,
          -7.958601017512377,
          -7.84764337626329,
          -7.736438333766097,
          -7.624988461149718,
          -7.513296336920563,
          -7.401364547729569,
          -7.2891956891542575,
          -7.176792366494218,
          -7.064157195580382,
          -6.951292803604893,
          -6.8382018299625384,
          -6.724886927113675,
          -6.611350761465437,
          -6.497596014269156,
          -6.3836253825437534,
          -6.269441580015607,
          -6.15504733808255,
          -6.040445406802845,
          -5.92563855590769,
          -5.810629575838814,
          -5.695421278813041,
          -5.580016499918758,
          -5.464418098234713,
          -5.348628957987369,
          -5.232651989736413,
          -5.116490131593351,
          -5.0001463504803,
          -4.883623643419342,
          -4.766925038865835,
          -4.6500535980797935,
          -4.533012416542194,
          -4.415804625412499,
          -4.298433393032233,
          -4.180901926483442,
          -4.063213473190477,
          -3.9453713225807108,
          -3.827378807797774,
          -3.709239307473737,
          -3.5909562475667594,
          -3.4725331032566698,
          -3.3539734009122935,
          -3.2352807201286975,
          -3.1164586958363816,
          -2.9975110204924578,
          -2.8784414463478427,
          -2.759253787805156,
          -2.6399519238629168,
          -2.52053980065584,
          -2.4010214340946163,
          -2.2814009126073294,
          -2.1616823999917134,
          -2.041870138384776,
          -1.9219684513482336,
          -1.8019817470878416,
          -1.6819145217991716,
          -1.5617713631611938,
          -1.4415569539756392,
          -1.3212760759624367,
          -1.2009336137203757,
          -1.0805345588628765,
          -0.9600840143382158,
          -0.8395871989425852,
          -0.7190494520353745,
          -0.5984762384774558,
          -0.47787315379008627,
          -0.3572459295645413,
          -0.236600439118846,
          -0.11594270343285339,
          0.004721102634139319,
          0.12538464382000264,
          0.24604141761382123,
          0.36668474706852494,
          0.48730777324966945,
          0.607903447297245,
          0.7284645220815892,
          0.8489835434190529,
          0.9694528408254824,
          1.0898645177765172,
          1.2102104414407506,
          1.3304822318516418,
          1.4506712504835286,
          1.5707685881839275,
          1.6907650524285158,
          1.8106511538432823,
          1.9304170919455084,
          2.050052740051475,
          2.1695476292849905,
          2.2888909316274186,
          2.408071441936386,
          2.527077558854546,
          2.6458972645300687,
          2.7645181030531103,
          2.8829271575137825,
          3.001111025569431,
          3.1190557934068335,
          3.236747007970826,
          3.3541696473148512,
          3.471308088919552,
          3.58814607581573,
          3.704666680314604,
          3.820852265150228,
          3.93668444180089,
          4.052144025744418,
          4.167210988368038,
          4.281864405228779,
          4.396082400329211,
          4.509842086026869,
          4.623119498167561,
          4.735889525968265,
          4.848125836138728,
          4.9598007906604185,
          5.070885357568499,
          5.1813490140156615,
          5.291159640795546,
          5.400283407404533,
          5.508684646601506,
          5.616325717290589,
          5.723166854391303,
          5.829166004181481,
          5.934278643387832,
          6.038457580051004,
          6.141652733912354,
          6.24381089372747,
          6.344875448531087,
          6.444786089401735,
          6.543478477746845,
          6.640883875467926,
          6.7369287316066675,
          6.831534219152045,
          6.924615714580528,
          7.016082211384495,
          7.105835657228894,
          7.193770202418657,
          7.279771344980432,
          7.363714954712897,
          7.445466154933718,
          7.524878036139296,
          7.601790170145347,
          7.676026886158878,
          7.747395261222937,
          7.81568276593887,
          7.88065449153048,
          7.942049865025235,
          7.99957873404319,
          8.052916669204823,
          8.101699287384877,
          8.14551533842378,
          8.183898214874585,
          8.216315429079291,
          8.242155439451018,
          8.260710975367799,
          8.271157671447925,
          8.272526319075459,
          8.26366627999089,
          8.243196420897002,
          8.209438034701884,
          8.160321097384708,
          8.095375851298071,
          8.018518910498198,
          7.93127638747661,
          7.834878499146382,
          7.730425835921872,
          7.618911550354199,
          7.501232441240962,
          7.37819823500362,
          7.250539812453278,
          7.118916549186643,
          6.983922882801467,
          6.846094201290162,
          6.705912133186287,
          6.563809308599428,
          6.420173650762163,
          6.27535224960655,
          6.129654862051027,
          5.983357077740333,
          5.836703183691922,
          5.6899087565896505,
          5.543163006948546,
          5.396630894940028,
          5.250455032911202,
          5.1047573842582175,
          4.959640761939247,
          4.815190121717472,
          4.671473634632501,
          4.528543509036671,
          4.386436513460731,
          4.24517412587997,
          4.1047625316893,
          3.9651907926779986,
          3.8264316828954206,
          3.688430085267815,
          3.551111668186913,
          3.4143670018321552,
          3.2780436896336034,
          3.141932030560067,
          3.005744212859236,
          2.869084678327231,
          2.731410264112956,
          2.5919894960854037,
          2.4499316413565815,
          2.304641399917104,
          2.1579268361629564,
          2.03521825575686,
          1.9198417776944456,
          1.7981065702113472,
          1.6826428252396752,
          1.5734236826346504,
          1.4691013853717159,
          1.368570178203191,
          1.2709531441855697,
          1.1755105271330253,
          1.0815689421397099,
          0.9884596672108317,
          0.895446830829132,
          0.8016136915137421,
          0.7056267143130105,
          0.6050966121291544,
          0.4941353291985973,
          0.39824188577206354,
          0.31472799690653447,
          0.23985976487818594,
          0.17270372599617376,
          0.11441086100319793,
          0.05599756103626028,
          0.0030435618572397876,
          -0.05911203672415252,
          -0.12838108795866524,
          -0.20431218394537684,
          -0.2875782954429726,
          -0.38042546954484824,
          -0.4890871858569373,
          -0.5984822617490082,
          -0.7059277728170197,
          -0.8052271980994126,
          -0.9010131748708773,
          -0.9951404308194152,
          -1.0882461602302953,
          -1.1818458725888636,
          -1.277562608408506,
          -1.3748843891594786,
          -1.4743510222111897,
          -1.576502149551826,
          -1.6819291431481924,
          -1.7913089950549197,
          -1.9054442628701613,
          -2.0253053082674564,
          -2.1520430895176523,
          -2.2868232801917796,
          -2.429976174786292,
          -2.5790456264769395,
          -2.729242044947013,
          -2.878032670546197,
          -3.0255033192351917,
          -3.1724064124159517,
          -3.319451983455441,
          -3.467205072663358,
          -3.6161056809334515,
          -3.7665003715586574,
          -3.918667531829851,
          -4.072835613990257,
          -4.229184219353405,
          -4.387892154732899,
          -4.5491071660656255,
          -4.712949979103095,
          -4.879537995009741,
          -5.048977176754723,
          -5.221368261875022,
          -5.3968068220382,
          -5.575384407815394,
          -5.75718928882665,
          -5.942306910671042,
          -6.130820125787721,
          -6.322809243897478,
          -6.518351936820324,
          -6.717523023782491,
          -6.920394155882183,
          -7.127033412414946,
          -7.337504816800328,
          -7.551867776002895,
          -7.770176443809696,
          -7.992479005909584,
          -8.218816882201379,
          -8.449223839858341,
          -8.68372500879514,
          -8.922335789328873,
          -9.165060640178949,
          -9.411891732896985,
          -9.662807456853375,
          -9.917770756557447,
          -10.176727280507004,
          -10.439603317636,
          -10.706303493969692,
          -10.976708197924447,
          -11.250670697690927,
          -11.528013908326392,
          -11.808526759134821,
          -12.091960103219355,
          -12.378022101158239,
          -12.666372997553939,
          -12.956619194332692,
          -13.248306504838402,
          -13.526863827880803,
          -13.786001192237839,
          -14.027745744960939,
          -14.253801306605546,
          -14.465615553139116,
          -14.664430356160388,
          -14.851320150909043,
          -15.027221624806888,
          -15.192957002636161,
          -15.349252532939063,
          -15.49675332694849,
          -15.636035389410992,
          -15.767615462147477,
          -15.891959145674091,
          -16.0094876518765,
          -16.120583458512165,
          -16.225595075383804,
          -16.324841086356376,
          -16.41861359679483,
          -16.507181189534617,
          -16.59079147206494,
          -16.669673281703194,
          -16.744038603047834,
          -16.814084242128537,
          -16.879993293812714,
          -16.941936432722265,
          -17.000073052833187,
          -17.05455227680952,
          -17.105513852746757,
          -17.153088953255494,
          -17.197400889522978,
          -17.238565751119886,
          -17.27669298073654,
          -17.311885891735404,
          -17.344242135291996,
          -17.373854122985055,
          -17.40080940989441,
          -17.42519104261615,
          -17.44707787602709,
          -17.46654486214882,
          -17.483663314048847,
          -17.49850114735351,
          -17.511123101648856,
          -17.521590943764622,
          -17.529963654722707,
          -17.536297601915376,
          -17.540646697912138,
          -17.543062547140096,
          -17.54359458154435,
          -17.542290186222107,
          -17.5391948159201,
          -17.53435210318818,
          -17.52780395890775,
          -17.519590665842085,
          -17.509750965786502,
          -17.49832214084567,
          -17.485340089311112,
          -17.470839396574785,
          -17.45485340146042,
          -17.437414258339707,
          -17.418552995341997,
          -17.39829956896493,
          -17.37668291534534,
          -17.35373099844176,
          -17.329470855346884,
          -17.303928638938707,
          -17.277129658061,
          -17.249098415399594,
          -17.219858643217915,
          -17.189433337096048,
          -17.157844787807637,
          -17.125114611459097,
          -17.091263778004183,
          -17.056312638241668,
          -17.02028094938936,
          -16.98318789933049,
          -16.945052129610605,
          -16.905891757265938,
          -16.86572439555306,
          -16.824567173649896,
          -16.782436755382317,
          -16.739349357043896,
          -16.695320764355124,
          -16.650366348616686,
          -16.60450108209742,
          -16.557739552708448,
          -16.51009597799756,
          -16.461584218503365,
          -16.412217790506627,
          -16.362009878209655,
          -16.310973345376784,
          -16.259120746461644,
          -16.206464337252225,
          -16.15301608505587,
          -16.09878767845223,
          -16.043790536633615,
          -15.988035818351804,
          -15.931534430498555,
          -15.874297036330969,
          -15.816334063362698,
          -15.75765571093641,
          -15.698271957496958,
          -15.63819256757409,
          -15.577427098489661,
          -15.515984906810267,
          -15.453875154545091,
          -15.391106815111085,
          -15.327688679071676,
          -15.263629359659662,
          -15.198937298094577,
          -15.133620768707246,
          -15.06768788387136,
          -15.001146598764846,
          -14.934004715952458,
          -14.866269889809239,
          -14.797949630788915,
          -14.7290513095419,
          -14.659582160888458,
          -14.589549287658595,
          -14.518959664401363,
          -14.447820140966515,
          -14.376137445966885,
          -14.303918190127083,
          -14.231168869522092,
          -14.157895868707392,
          -14.084105463753259,
          -14.009803825175215,
          -13.934997020776587,
          -13.85969101840025,
          -13.783891688592805,
          -13.707604807187824,
          -13.630836057809958,
          -13.553591034302652,
          -13.475875243081624,
          -13.397694105419982,
          -13.31905295966421,
          -13.239957063385864,
          -13.16041159547146,
          -13.080421658151808,
          -12.999992278971492,
          -12.9191284127067,
          -12.837834943225152,
          -12.756116685299078,
          -12.673978386363297,
          -12.591424728230429,
          -12.508460328758174,
          -12.425089743471169,
          -12.341317467141472,
          -12.257147935326977,
          -12.172585525872123,
          -12.08763456036792,
          -12.002299305576939,
          -11.916583974822451,
          -11.830492729343398,
          -11.7440296796166,
          -11.6571988866457,
          -11.570004363222337,
          -11.482450075155084,
          -11.394539942472242,
          -11.30627784059725,
          -11.217667601493451,
          -11.128713014790277,
          -11.039417828880051,
          -10.949785751990833,
          -10.85982045324242,
          -10.769525563671609,
          -10.678904677244478,
          -10.587961351843454,
          -10.496699110237545,
          -10.405121441030623,
          -10.313231799595965,
          -10.22103360898896,
          -10.128530260847043,
          -10.035725116269369,
          -9.942621506685269,
          -9.849222734705636,
          -9.7555320749597,
          -9.661552774919521,
          -9.567288055709918,
          -9.47274111290881,
          -9.377915117330074,
          -9.282813215802062,
          -9.187438531928247,
          -9.091794166843131,
          -8.995883199954287,
          -8.899708689677244,
          -8.803273674160447,
          -8.706581172000417,
          -8.609634182952682,
          -8.512435688632024,
          -8.414988653203892,
          -8.317296024073412,
          -8.219360732566411,
          -8.121185694604229,
          -8.022773811371353,
          -7.924127969980362,
          -7.825251044132275,
          -7.726145894772181,
          -7.626815370740062,
          -7.527262309418546,
          -7.427489537378401,
          -7.327499871019824,
          -7.227296117215901,
          -7.126881073947059,
          -7.026257530939369,
          -6.925428270301075,
          -6.824396067156397,
          -6.72316369028026,
          -6.621733902734846,
          -6.5201094625015426,
          -6.418293123120297,
          -6.316287634326295,
          -6.214095742687755,
          -6.111720192248651,
          -6.009163725171906,
          -5.906429082386951,
          -5.803519004239138,
          -5.700436231143125,
          -5.597183504242424,
          -5.493763566070885,
          -5.390179161221179,
          -5.286433037018014,
          -5.1825279441984815,
          -5.078466637597433,
          -4.974251876840406,
          -4.869886427045793,
          -4.765373059531625,
          -4.660714552533413,
          -4.555913691932183,
          -4.450973271986614,
          -4.345896096083179,
          -4.2406849774910835,
          -4.135342740130686,
          -4.029872219355139,
          -3.9242762627414542,
          -3.818557730899132,
          -3.7127194982892253,
          -3.606764454058611,
          -3.5006955028916806,
          -3.394515565877291,
          -3.2882275813908195,
          -3.1818345059958197,
          -3.0753393153645514,
          -2.9687450052159865,
          -2.8620545922772336,
          -2.755271115262037,
          -2.6483976358745194,
          -2.541437239835856,
          -2.4343930379336074,
          -2.327268167099051,
          -2.2200657915074546,
          -2.112789103707198,
          -2.005441325781248,
          -1.898025710533371,
          -1.7905455427068342,
          -1.6830041402409863,
          -1.5754048555557227,
          -1.467751076873574,
          -1.3600462295807623,
          -1.2522937776264198,
          -1.1444972249622711,
          -1.0366601170229743,
          -0.9287860422539149,
          -0.8208786336833885,
          -0.7129415705436583,
          -0.6049785799425247,
          -0.49699343858771683,
          -0.3889899745645548,
          -0.2809720691757628,
          -0.17294365883685833,
          -0.06490873703593418,
          0.04312864364018232,
          0.15116436940961386,
          0.2591942631300861,
          0.36721408205699463,
          0.475219515520478,
          0.5832061825242477,
          0.6911696292534105,
          0.7991053264947555,
          0.9070086669606575,
          1.0148749625137325,
          1.1226994412885525,
          1.2304772447017052,
          1.3382034243478853,
          1.445872938776877,
          1.553480650143359,
          1.6610213207233386,
          1.7684896092918592,
          1.8758800673532419,
          1.9831871352188597,
          2.0904051379212674,
          2.1975282809600327,
          2.3045506458640554,
          2.411466185571478,
          2.518268719602968,
          2.624951929031757,
          2.7315093512295245,
          2.8379343743782965,
          2.944220231738039,
          3.0503599956548433,
          3.156346571292621,
          3.2621726900756602,
          3.3678309028232722,
          3.4733135725640945,
          3.5786128670019894,
          3.6837207506212555,
          3.7886289764033565,
          3.89332907713994,
          3.997812356308396,
          4.102069878488397,
          4.206092459290139,
          4.309870654763644,
          4.413394750253733,
          4.516654748671518,
          4.619640358134636,
          4.722340978946844,
          4.824745689861127,
          4.92684323358856,
          5.028622001496055,
          5.130070017437212,
          5.231174920660605,
          5.331923947725745,
          5.432303913359293,
          5.532301190173493,
          5.631901687167304,
          5.731090826916366,
          5.829853521353661,
          5.928174146042123,
          6.026036512813152,
          6.123423840651297,
          6.220318724682569,
          6.3167031031228555,
          6.412558222010039,
          6.507864597548672,
          6.602601975862699,
          6.696749289940693,
          6.790284613532391,
          6.883185111729959,
          6.975426987943902,
          7.066985426953106,
          7.157834533666798,
          7.247947267204714,
          7.337295369859163,
          7.425849290447949,
          7.513578101511547,
          7.600449409755081,
          7.6864292590510415,
          7.771482025244623,
          7.855570301914531,
          7.938654776124261,
          8.020694093094113,
          8.101644708571534,
          8.181460727525513,
          8.260093727604607,
          8.337492565585517,
          8.413603164789283,
          8.48836828116184,
          8.561727245372236,
          8.633615677895067,
          8.703965173582974,
          8.772702951689057,
          8.839751466663234,
          8.905027974279639,
          8.968444046748719,
          9.02990502938874,
          9.089309430117208,
          9.146548231463601,
          9.20150411289386,
          9.254050568922395,
          9.304050905643527,
          9.351357094824229,
          9.395808460369624,
          9.43723016658383,
          9.475431470891724,
          9.510203695164293,
          9.541317858939976,
          9.56852190395435,
          9.591537421441792,
          9.61005577030121,
          9.62373344345693,
          9.63218649888824,
          9.634983816904112,
          9.631638870625778,
          9.621599593921019,
          9.60423578765109,
          9.578823301885523,
          9.544523938936845,
          9.500359592377981,
          9.44517849373705,
          9.377610452986929,
          9.2960064307935,
          9.198355278296987,
          9.08216630275997,
          8.95431771411403,
          8.818363857112363,
          8.675563061592012,
          8.526926464989879,
          8.373352777658843,
          8.215646320592446,
          8.054526949571633,
          7.890638488311715,
          7.724556195143713,
          7.5567934079465235,
          7.387807472236364,
          7.21800504075742,
          7.047746819946278,
          6.877351827923915,
          6.707101219804713,
          6.5372417283708755,
          6.367988761794341,
          6.199529194251821,
          6.03202388035403,
          5.865609919518941,
          5.700402691923691,
          5.5364976830357335,
          5.373972108584836,
          5.2128863458663455,
          5.053285170019331,
          4.895198784324451,
          4.738643621143482,
          4.583622873555892,
          4.430126695077696,
          4.2781319747961915,
          4.127601554216074,
          3.9784826967829683,
          3.8307045451199815,
          3.6841741946832682,
          3.538770859454873,
          3.394337377521547,
          3.2506679593638435,
          3.1074905742617047,
          2.9644417453284397,
          2.821031404737573,
          2.6765994056860962,
          2.53031104889648,
          2.381363766111889,
          2.229660842242298,
          2.097782130627864,
          1.9744146357735775,
          1.858365953808841,
          1.7363731406700267,
          1.6204938259923793,
          1.5106325553621798,
          1.4055155344326054,
          1.3040898023324823,
          1.205503695962198,
          1.1090228391205113,
          1.0139624905863471,
          0.9196232659982739,
          0.8252083037676833,
          0.7296792080449831,
          0.6314295966477214,
          0.5272995532840536,
          0.4083387644055148,
          0.3183174903438449,
          0.23861097920290383,
          0.16686502740790563,
          0.1031259712320604,
          0.05001572042768107,
          -0.003137958648782762,
          -0.059585710673418044,
          -0.12423879638279064,
          -0.19565891804379945,
          -0.27375619182283695,
          -0.35960098927266837,
          -0.4562729964409597,
          -0.5725002675629866,
          -0.6772912183444703,
          -0.7799846279278931,
          -0.8768055298448996,
          -0.9709597428641854,
          -1.0640772803211629,
          -1.157107307059021,
          -1.250731162560825,
          -1.3455112790886312,
          -1.441961882349354,
          -1.5405918963275251,
          -1.6419378866307248,
          -1.7465954588194013,
          -1.8552540578105448,
          -1.9683898091133958,
          -2.087525023727966,
          -2.2131261185730042,
          -2.3466364813966574,
          -2.4882072504536867,
          -2.6336498330669267,
          -2.778668340106082,
          -2.9219339641089626,
          -3.063826446471603,
          -3.2052063203783296,
          -3.3466997120191415,
          -3.488826383020507,
          -3.6319291693684135,
          -3.7763142817945927,
          -3.9222133538746413,
          -4.069821110312842,
          -4.219298638116773,
          -4.370781867353922,
          -4.524387597804384,
          -4.680217979106811,
          -4.83836384634,
          -4.998907190900555,
          -5.1619229642240105,
          -5.327480359607063,
          -5.495643682589741,
          -5.6664728956928565,
          -5.840023904656361,
          -6.016348638753981,
          -6.195494965472044,
          -6.377506470332476,
          -6.5624221241912455,
          -6.750275853676329,
          -6.941096024971834,
          -7.134904846687982,
          -7.331717693885042,
          -7.53154235240445,
          -7.734378180102467,
          -7.940215179538412,
          -8.149032974714618,
          -8.360799682618053,
          -8.575470668765833,
          -8.792987173945072,
          -9.013274797576146,
          -9.236241820939897,
          -9.46177735108831,
          -9.689749263644053,
          -9.920001919471456,
          -10.152353626425894,
          -10.38659381306978,
          -10.622479876112934,
          -10.859733656948995,
          -11.09803749543055,
          -11.337029799688096,
          -11.576300060024774,
          -11.815383221432528,
          -12.053753312408165,
          -12.290816207189014,
          -12.508778324211738,
          -12.709611437196013,
          -12.895100341279713,
          -13.06674870019605,
          -13.225836615664374,
          -13.373463981247712,
          -13.510583669336343,
          -13.63802730823404,
          -13.756525566909751,
          -13.866724306636984,
          -13.969197579553418,
          -14.064458191729035,
          -14.152966363612089,
          -14.235136888641103,
          -14.311345095030916,
          -14.381931845380906,
          -14.447207756435796,
          -14.50745678198156,
          -14.562939271982774,
          -14.613894598149953,
          -14.660543418390048,
          -14.703089638750086,
          -14.741722120584482,
          -14.776616172059285,
          -14.80793485621265,
          -14.835830142291261,
          -14.860443922597327,
          -14.88190891347589,
          -14.900349456095537,
          -14.915882230252762,
          -14.92861689241568,
          -14.938656647565518,
          -14.946098762994177,
          -14.95103503106958,
          -14.953552187003027,
          -14.953732286821646,
          -14.951653050063682,
          -14.9473881711204,
          -14.941007602641186,
          -14.932577813994584,
          -14.922162027400699,
          -14.909820434039846,
          -14.895610392164187,
          -14.879586609000784,
          -14.861801308029234,
          -14.842304383045134,
          -14.821143540248036,
          -14.798364429476718,
          -14.774010765574655,
          -14.748124440780053,
          -14.720745628931155,
          -14.691912882204306,
          -14.661663221018854,
          -14.630032217695149,
          -14.597054074381104,
          -14.562761695716182,
          -14.527186756662754,
          -14.490359765892766,
          -14.452310125067088,
          -14.41306618434084,
          -14.372655294375654,
          -14.331103855124848,
          -14.288437361629812,
          -14.244680447046711,
          -14.199856923111964,
          -14.153989818223206,
          -14.107101413302152,
          -14.05921327560158,
          -14.010346290598157,
          -13.960520692091931,
          -13.909756090644578,
          -13.85807150046172,
          -13.805485364821685,
          -13.752015580146425,
          -13.697679518804968,
          -13.64249405071951,
          -13.586475563862631,
          -13.529639983708947,
          -13.472002791699879,
          -13.41357904279281,
          -13.354383382141672,
          -13.294430060961087,
          -13.233732951625898,
          -13.172305562050619,
          -13.110161049385816,
          -13.047312233074122,
          -12.983771607300707,
          -12.919551352876866,
          -12.854663348578985,
          -12.789119181978316,
          -12.722930159796213,
          -12.656107317793396,
          -12.588661430231124,
          -12.520603018929991,
          -12.4519423619305,
          -12.382689501795996,
          -12.31285425356288,
          -12.242446212361795,
          -12.171474760721736,
          -12.099949075581327,
          -12.027878135013967,
          -11.95527072468501,
          -11.882135444051748,
          -11.808480712319485,
          -11.734314774168197,
          -11.659645705257718,
          -11.584481417517742,
          -11.508829664243805,
          -11.432698044999908,
          -11.356094010338772,
          -11.279024866346663,
          -11.201497779024033,
          -11.123519778506171,
          -11.045097763132661,
          -10.966238503374221,
          -10.88694864562211,
          -10.807234715836936,
          -10.727103123080445,
          -10.646560162925871,
          -10.565612020742519,
          -10.484264774884302,
          -10.402524399758656,
          -10.320396768801519,
          -10.237887657352763,
          -10.155002745442324,
          -10.071747620475842,
          -9.988127779845257,
          -9.904148633456646,
          -9.819815506169972,
          -9.735133640173945,
          -9.650108197280714,
          -9.564744261155274,
          -9.479046839473284,
          -9.393020866021038,
          -9.306671202724782,
          -9.220002641632568,
          -9.133019906824211,
          -9.045727656280318,
          -8.958130483688482,
          -8.87023292020626,
          -8.782039436170397,
          -8.693554442760588,
          -8.604782293617008,
          -8.515727286419237,
          -8.42639366441802,
          -8.336785617930408,
          -8.246907285788987,
          -8.156762756767733,
          -8.066356070958562,
          -7.975691221122383,
          -7.884772154002472,
          -7.793602771605639,
          -7.70218693245464,
          -7.610528452813314,
          -7.518631107878557,
          -7.426498632947317,
          -7.334134724555985,
          -7.241543041600058,
          -7.1487272064184415,
          -7.05569080586441,
          -6.962437392352691,
          -6.868970484879148,
          -6.775293570023893,
          -6.681410102934073,
          -6.587323508287888,
          -6.49303718123946,
          -6.398554488345852,
          -6.303878768473861,
          -6.209013333700424,
          -6.113961470182204,
          -6.018726439028091,
          -5.923311477140846,
          -5.827719798054206,
          -5.731954592755235,
          -5.636019030494382,
          -5.53991625958383,
          -5.443649408177295,
          -5.347221585053779,
          -5.250635880374458,
          -5.153895366442432,
          -5.057003098445459,
          -4.959962115194741,
          -4.862775439852696,
          -4.765446080653488,
          -4.667977031612832,
          -4.570371273236347,
          -4.472631773221023,
          -4.374761487148014,
          -4.276763359164884,
          -4.1786403226757995,
          -4.080395301015621,
          -3.982031208124483,
          -3.883550949213552,
          -3.7849574214385147,
          -3.6862535145548727,
          -3.5874421115826336,
          -3.4885260894618413,
          -3.389508319713615,
          -3.2903916690862864,
          -3.191179000217911,
          -3.0918731722818307,
          -2.9924770416428865,
          -2.8929934625075715,
          -2.793425287582826,
          -2.693775368723106,
          -2.594046557587824,
          -2.4942417063017515,
          -2.394363668110993,
          -2.294415298043772,
          -2.194399453579747,
          -2.0943189953150267,
          -1.9941767876340413,
          -1.8939756993847126,
          -1.7937186045644515,
          -1.6934083829987923,
          -1.5930479210404993,
          -1.4926401122618669,
          -1.3921878581625993,
          -1.2916940688771457,
          -1.1911616638966183,
          -1.0905935727966167,
          -0.9899927359660615,
          -0.8893621053596255,
          -0.7887046452451915,
          -0.6880233329690808,
          -0.5873211597343997,
          -0.48660113138068617,
          -0.385866269185953,
          -0.2851196106740102,
          -0.18436421043922013,
          -0.08360314098090883,
          0.01716050644205557,
          0.11792362094949455,
          0.2186830711547859,
          0.3194357042690804,
          0.42017834518569486,
          0.5209077955462486,
          0.6216208327863445,
          0.7223142091692317,
          0.8229846507869284,
          0.9236288565513047,
          1.0242434971560577,
          1.124825214020879,
          1.2253706182020232,
          1.3258762892908482,
          1.4263387742751708,
          1.5267545863756233,
          1.6271202038563786,
          1.7274320688040339,
          1.8276865858770692,
          1.9278801210191372,
          2.028009000141538,
          2.1280695077745486,
          2.2280578856711295,
          2.3279703313814095,
          2.4278029967894805,
          2.5275519865967415,
          2.627213356775878,
          2.7267831129683464,
          2.8262572088466857,
          2.925631544415431,
          3.02490196427086,
          3.124064255801015,
          3.2231141473346114,
          3.322047306229514,
          3.420859336902899,
          3.519545778795903,
          3.6181021042734605,
          3.716523716459159,
          3.814805946988846,
          3.9129440537032827,
          4.010933218246502,
          4.108768543596693,
          4.206445051504453,
          4.30395767984272,
          4.401301279859691,
          4.498470613344797,
          4.595460349679784,
          4.692265062788974,
          4.7888792279811385,
          4.885297218663991,
          4.981513302945405,
          5.077521640098821,
          5.173316276899812,
          5.268891143815627,
          5.3642400510487045,
          5.459356684424572,
          5.554234601113701,
          5.64886722518234,
          5.7432478429676115,
          5.8373695982515175,
          5.931225487248514,
          6.024808353371329,
          6.118110881787059,
          6.21112559372704,
          6.303844840566624,
          6.396260797634257,
          6.488365457754691,
          6.580150624503723,
          6.671607905158652,
          6.762728703333238,
          6.853504211266981,
          6.94392540176213,
          7.033983019746247,
          7.123667573428365,
          7.212969325036658,
          7.301878281105073,
          7.390384182289906,
          7.47847649267834,
          7.566144388568464,
          7.653376746674928,
          7.740162131741224,
          7.826488783503063,
          7.912344602979973,
          7.997717138037313,
          8.08259356817695,
          8.166960688506927,
          8.250804892831958,
          8.334112155812928,
          8.416868014123077,
          8.499057546532406,
          8.580665352860382,
          8.661675531689323,
          8.742071656779531,
          8.821836752072638,
          8.900953265186832,
          8.979403039291357,
          9.057167283239338,
          9.134226539822883,
          9.210560652006627,
          9.286148726990067,
          9.360969097910303,
          9.43499928300802,
          9.508215942047048,
          9.58059482975818,
          9.652110746056065,
          9.722737482762936,
          9.792447766522134,
          9.861213197582218,
          9.92900418407585,
          9.99578987138405,
          10.061538066134467,
          10.126215154340608,
          10.189786013110822,
          10.252213915311836,
          10.31346042650103,
          10.373485293339574,
          10.432246322633272,
          10.489699250020163,
          10.545797597213566,
          10.600492516573114,
          10.65373262161437,
          10.705463801881322,
          10.75562902040228,
          10.804168091707133,
          10.851017438095445,
          10.89610982151805,
          10.939374048059783,
          10.98073464154572,
          11.020111482287957,
          11.057419406344383,
          11.092567759949018,
          11.125459902887197,
          11.155992653549195,
          11.184055667160626,
          11.209530737181385,
          11.232291008069637,
          11.25220008540155,
          11.26911102668271,
          11.282865192903627,
          11.293290936857955,
          11.300202099244512,
          11.303396277328998,
          11.302652823125099,
          11.29773051813615,
          11.288364859107743,
          11.274264873054033,
          11.255109358866532,
          11.230542425476342,
          11.200168160447985,
          11.163544214833948,
          11.120174025348701,
          11.069497306610096,
          11.010878324175636,
          10.94359128806031,
          10.8668019629627,
          10.779544238806624,
          10.68068988482618,
          10.568908926113174,
          10.442616871545624,
          10.299903105498611,
          10.138431628552505,
          9.957859816493405,
          9.771059376639009,
          9.579731247165563,
          9.38482613341746,
          9.187154499649537,
          8.987432082811262,
          8.786291775237306,
          8.58429247820522,
          8.381926824659093,
          8.179628007959945,
          7.977775839048529,
          7.776702130855404,
          7.576695494019961,
          7.378005615521804,
          7.180847081671192,
          6.985402798300126,
          6.79182705374825,
          6.600248263855298,
          6.410771432720716,
          6.2234803580066,
          6.038439604821079,
          5.855696267620008,
          5.67528153472123,
          5.4972120644840246,
          5.321491175655365,
          5.148109846253187,
          4.977047504535713,
          4.808272581538071,
          4.641742775715048,
          4.477404954690514,
          4.315194584865737,
          4.155034533520594,
          3.9968330251917172,
          3.8404804480246697,
          3.685844583812487,
          3.532763657903243,
          3.3810363386311524,
          3.23040741338766,
          3.0805472996148047,
          2.9310229778335866,
          2.7812586073730774,
          2.630508032383151,
          2.477827554048394,
          2.3224691716547463,
          2.165832566870563,
          2.033780221776036,
          1.9101605878485068,
          1.7936301229431082,
          1.6715431438945079,
          1.5554029356020196,
          1.4450594579211709,
          1.339307756387027,
          1.237141700804291,
          1.1377309128563542,
          1.0403431006307367,
          0.9442779211557693,
          0.8487978580086861,
          0.7530294939636657,
          0.6557751993615393,
          0.5550443779183519,
          0.4464484837383403,
          0.3425513040785121,
          0.2549864301206176,
          0.1770564317562578,
          0.10711448954796032,
          0.04556831682495027,
          -0.003802764147781368,
          -0.052876378582894026,
          -0.11056655479787772,
          -0.17609591652044757,
          -0.2482433181858852,
          -0.3270464123480692,
          -0.4137379370224155,
          -0.5117924588091057,
          -0.6308410889068875,
          -0.7334692830274798,
          -0.8338774337480506,
          -0.9290984364035976,
          -1.0218963219957449,
          -1.113730957999678,
          -1.2054844177261723,
          -1.2978027738015379,
          -1.391006968801038,
          -1.4858247468469055,
          -1.5827467769902723,
          -1.68229321556425,
          -1.7850434592674969,
          -1.891669956958201,
          -2.002976404679253,
          -2.119465455683369,
          -2.2426707957366157,
          -2.373410030294532,
          -2.510939731958021,
          -2.6514964924403817,
          -2.791282632086938,
          -2.9291623314440844,
          -3.0656437099567775,
          -3.2014438208964795,
          -3.337154393421531,
          -3.4732303921777277,
          -3.6100200881384965,
          -3.747793234441259,
          -3.8867619491613783,
          -4.027095569166325,
          -4.168931247061615,
          -4.312381617187188,
          -4.457540416008651,
          -4.6044866357458805,
          -4.75328759471586,
          -4.904001186700964,
          -5.056677495866208,
          -5.211359914955537,
          -5.368085871965853,
          -5.5268872465740175,
          -5.687790540159703,
          -5.850816848752025,
          -6.015981676803407,
          -6.1832946201810906,
          -6.3527589388620935,
          -6.524371033329781,
          -6.698119833718799,
          -6.8739861061572,
          -7.051941677617621,
          -7.231948577585276,
          -7.413958092580928,
          -7.59790972756087,
          -7.783730066244026,
          -7.971331520857227,
          -8.160610960034063,
          -8.351448201684711,
          -8.543704355995738,
          -8.737220001336267,
          -8.931813173722986,
          -9.127277147439697,
          -9.323377981531792,
          -9.519851802856433,
          -9.71640179215648,
          -9.912694834169665,
          -10.108357786653123,
          -10.302973315491908,
          -10.496075233847542,
          -10.687143272136561,
          -10.87559719185408,
          -11.060790139114841,
          -11.240280270441072,
          -11.402464602976776,
          -11.549297805856362,
          -11.682406643393286,
          -11.803160993316228,
          -11.91272640237914,
          -12.012103696006623,
          -12.10215931738415,
          -12.183648902971457,
          -12.257235840545047,
          -12.32350604892483,
          -12.382979873723121,
          -12.436121754516558,
          -12.483348150460504,
          -12.52503409087768,
          -12.56151862988221,
          -12.593109419822282,
          -12.620086570482911,
          -12.642705925001305,
          -12.661201856103176,
          -12.675789665292845,
          -12.686667651377432,
          -12.694018902033509,
          -12.69801285215748,
          -12.69880664483067,
          -12.69654632443613,
          -12.691367886395676,
          -12.683398203905435,
          -12.672755848735108,
          -12.65955182042393,
          -12.643890195996155,
          -12.6258687104632,
          -12.605579276858267,
          -12.583108453280296,
          -12.558537863359119,
          -12.531944575662244,
          -12.503401446802133,
          -12.47297743237792,
          -12.44073786934229,
          -12.40674473290742,
          -12.37105687073196,
          -12.333730216780472,
          -12.294817986952602,
          -12.254370858339449,
          -12.212437133736179,
          -12.169062892858294,
          -12.124292131546438,
          -12.078166890095016,
          -12.030727371716731,
          -11.982012052055753,
          -11.932057780547474,
          -11.880899874360523,
          -11.828572205560665,
          -11.775107282086333,
          -11.720536323059378,
          -11.664889328904026,
          -11.608195146705233,
          -11.550481531191078,
          -11.491775201688094,
          -11.432101895371353,
          -11.371486417096973,
          -11.30995268607945,
          -11.247523779649997,
          -11.18422197431976,
          -11.120068784345657,
          -11.055084997977888,
          -10.989290711559068,
          -10.922705361630493,
          -10.85534775517335,
          -10.78723609813469,
          -10.718388022330384,
          -10.64882061086376,
          -10.578550422134095,
          -10.507593512537936,
          -10.43596545795546,
          -10.363681374094398,
          -10.290755935755719,
          -10.217203395106257,
          -10.143037599011787,
          -10.06827200548463,
          -9.992919699307155,
          -9.91699340687924,
          -9.840505510334673,
          -9.76346806096871,
          -9.685892792025447,
          -9.607791130864292,
          -9.529174210565259,
          -9.450052880985046,
          -9.370437719306793,
          -9.290339040102873,
          -9.209766904946772,
          -9.128731131594186,
          -9.047241302750443,
          -8.965306774463631,
          -8.882936684142765,
          -8.800139958236212,
          -8.71692531958356,
          -8.63330129444925,
          -8.549276219275063,
          -8.46485824714076,
          -8.380055353964275,
          -8.294875344452599,
          -8.209325857808484,
          -8.123414373213077,
          -8.037148215089742,
          -7.950534558165207,
          -7.8635804323279235,
          -7.776292727308021,
          -7.688678197174369,
          -7.600743464662752,
          -7.5124950253432665,
          -7.423939251631191,
          -7.335082396654778,
          -7.245930597981547,
          -7.156489881209221,
          -7.066766163425644,
          -6.9767652565569795,
          -6.886492870585222,
          -6.795954616666219,
          -6.705156010132932,
          -6.61410247340077,
          -6.522799338773802,
          -6.43125185115452,
          -6.339465170672255,
          -6.2474443752171975,
          -6.155194462896476,
          -6.062720354410897,
          -5.97002689535511,
          -5.8771188584500615,
          -5.78400094569858,
          -5.690677790483459,
          -5.597153959593994,
          -5.503433955193829,
          -5.409522216733752,
          -5.315423122803841,
          -5.221140992932603,
          -5.126680089338601,
          -5.032044618623767,
          -4.937238733426879,
          -4.842266534025466,
          -4.7471320699003074,
          -4.651839341249909,
          -4.556392300466556,
          -4.460794853581783,
          -4.3650508616586166,
          -4.2691641421607,
          -4.17313847028391,
          -4.076977580249849,
          -3.9806851665692458,
          -3.8842648852831303,
          -3.787720355158933,
          -3.691055158870294,
          -3.594272844148033,
          -3.4973769249002045,
          -3.4003708823079135,
          -3.3032581659034586,
          -3.2060421946155264,
          -3.108726357798418,
          -3.0113140162423275,
          -2.9138085031524534,
          -2.8162131251225557,
          -2.7185311630759648,
          -2.6207658731994146,
          -2.522920487853276,
          -2.424998216465198,
          -2.3270022464140863,
          -2.2289357438875754,
          -2.1308018547397376,
          -2.0326037053210295,
          -1.9343444033015729,
          -1.8360270384869566,
          -1.7376546836054738,
          -1.6392303951060283,
          -1.5407572139253543,
          -1.4422381662581505,
          -1.3436762643087503,
          -1.2450745070376767,
          -1.146435880903571,
          -1.0477633605880505,
          -0.9490599097148531,
          -0.8503284815709704,
          -0.7515720198060994,
          -0.6527934591382407,
          -0.5539957260472218,
          -0.4551817394654905
         ]
        }
       ],
       "layout": {
        "autosize": true,
        "shapes": [
         {
          "fillcolor": "#ffcc00",
          "line": {
           "width": 0
          },
          "type": "circle",
          "x0": -1.2911641594201713,
          "x1": 1.2911641594201713,
          "xref": "x",
          "y0": -1.2911641594201713,
          "y1": 1.2911641594201713,
          "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"
         }
        },
        "yaxis": {
         "scaleanchor": "x",
         "title": {
          "text": "Y"
         }
        }
       }
      },
      "text/html": "<div>\n        \n        \n            <div id=\"9cf3f79f-e397-4762-8919-e888baf55ecc\" 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(\"9cf3f79f-e397-4762-8919-e888baf55ecc\")) {\n                    Plotly.newPlot(\n                        '9cf3f79f-e397-4762-8919-e888baf55ecc',\n                        [{\"marker\": {\"color\": \"#ffcc00\", \"size\": 0}, \"mode\": \"markers\", \"name\": \"attractor\", \"type\": \"scatter\", \"x\": [0], \"y\": [0]}, {\"marker\": {\"color\": \"#ad427c\", \"line\": {\"width\": 2}, \"size\": 5}, \"mode\": \"lines\", \"name\": \"geodesic\", \"type\": \"scatter\", \"x\": [120.10433922646727, 120.10810262495168, 120.14380985441778, 120.17601300585854, 120.20471065901762, 120.2299011947254, 120.25158279448635, 120.2697534400039, 120.28441091264266, 120.29555279282742, 120.30317645937885, 120.30727908878475, 120.30785765440747, 120.30490892562558, 120.29842946691025, 120.2884156368352, 120.27486358701941, 120.2577692610022, 120.23712839304947, 120.21293650689043, 120.18518891438372, 120.1538807141122, 120.11900678990499, 120.08056180928587, 120.03854022184689, 119.99293625754568, 119.94374392492558, 119.89095700925664, 119.83456907059653, 119.77457344176968, 119.71096322626289, 119.64373129603601, 119.57287028924567, 119.49837260788038, 119.42023041530514, 119.33843563371327, 119.2529799414837, 119.16385477044129, 119.071051303018, 118.9745604693124, 118.87437294404523, 118.77047914340818, 118.66286922180322, 118.55153306846985, 118.43646030399691, 118.31764027671628, 118.19506205897495, 118.06871444328225, 117.93858593832861, 117.80466476487241, 117.6669388514908, 117.52539583019079, 117.38002303187635, 117.23080748166716, 117.07773589406453, 116.92079466795987, 116.7599698814805, 116.59524728666825, 116.42661230398477, 116.2540500166386, 116.07754516472782, 115.8970821391923, 115.71264497556923, 115.52421734754523, 115.33178256029818, 115.13532354362151, 114.9348228448233, 114.73026262139257, 114.521624633424, 114.30889023579304, 114.09204037007181, 113.87105555617681, 113.64591588373816, 113.41660100318026, 113.18309011650302, 112.94536196775215, 112.70339483316664, 112.45716651099126, 112.20665431094048, 111.95183504330072, 111.69268500765595, 111.42917998122206, 111.16129520677393, 110.88900538014853, 110.61228463730683, 110.33110654093588, 110.04544406657209, 109.75526958822519, 109.46055486348175, 109.16127101806559, 108.8573885298318, 108.54887721216912, 108.23570619678479, 107.91784391584409, 107.59525808343545, 107.26791567633063, 106.93578291400705, 106.59882523789875, 106.25700728983917, 105.91029288965784, 105.55864501189082, 105.20202576156147, 104.84039634898703, 104.47371706356276, 104.10194724647279, 103.72504526227429, 103.3429684692975, 102.95567318880121, 102.56311467281965, 102.16524707063203, 101.76202339378263, 101.35339547957383, 100.93931395295019, 100.51972818668592, 100.09458625978255, 99.66383491397728, 99.22741950825609, 98.78528397125815, 98.33737075145065, 97.8836207649445, 97.42397334081262, 96.95836616376235, 96.48673521400333, 96.0090147041404, 95.52513701290854, 95.03503261555389, 94.53863001064919, 94.03585564311706, 93.5266338232163, 93.01088664122766, 92.48853387755484, 91.95949290793388, 91.42367860341909, 90.88100322478651, 90.33137631096689, 89.77470456108627, 89.21089170965772, 88.63983839442758, 88.0614420163363, 87.47559659100631, 86.88219259111627, 86.28111677896281, 85.67225202844588, 85.05547713564243, 84.43066661705312, 83.79769049451845, 83.15641406570158, 82.50669765892548, 81.84839637102833, 81.1813597867639, 80.50543167811853, 79.82044968174273, 79.12624495250053, 78.42264179091809, 77.70945724206474, 76.986500663117, 76.25357325653574, 75.5104675654223, 74.75696692720356, 73.99284488132159, 73.2178645260589, 72.43177781900548, 71.63432481495356, 70.82523283417541, 70.00421555307504, 69.17097200808651, 68.32518550238687, 67.46652240346658, 66.59463081781065, 65.7091391268363, 64.8096543657424, 63.895760423969854, 62.96701604245137, 62.02295257861431, 61.06307150503611, 60.086841601533784, 59.093695793044134, 58.08302757659087, 57.05418696951732, 56.0064758974414, 54.93914292334665, 53.85137719791464, 52.74230148437515, 51.61096407711509, 50.45632938976406, 49.27726693233855, 48.07253832395596, 46.84078189156926, 45.580494277539884, 44.29000830731615, 42.96746613500757, 41.61078636253246, 40.21762337695797, 38.78531650862968, 37.310825682244776, 35.79064885738552, 34.2962273632405, 32.89697498529779, 31.729686070631832, 30.531112216134428, 29.54297589571407, 28.64507337850972, 27.847904642048313, 27.177876845175774, 26.496588884163806, 25.79299271674206, 25.019523728970583, 24.20033809085094, 23.352448175214537, 22.487925183972653, 21.615826332691004, 20.74319376066799, 19.87561751920645, 19.017582314537748, 18.172697314856435, 17.343858173724175, 16.533367479518994, 15.743028412215578, 14.974220300171856, 14.227961354973939, 13.504961876186483, 12.805670034834383, 12.130311629941096, 11.478924779159888, 10.85139024069083, 10.247457902959379, 9.666769878589514, 9.108880575317777, 8.573274072478428, 8.059379098547907, 7.56658187714528, 7.094237083761677, 6.6416771307638856, 6.208219973785576, 5.793175607671621, 5.39585139424971, 5.015556336781008, 4.651604385660608, 4.30331682585367, 3.970023755768834, 3.6510646168539957, 3.3457876683284224, 3.053548214635729, 2.773705273875218, 2.505616207306672, 2.2486285907567307, 2.002068276614034, 1.765222193336808, 1.5373142408627531, 1.3174741870693667, 1.1047100620361812, 0.8979492609592336, 0.696473619834348, 0.5019262667315618, 0.34462409927340953, 0.20414873042108514, 0.077570898093207, -0.04923953277536032, -0.16427693843683397, -0.26854201730378413, -0.36390245230558727, -0.45181059659168854, -0.5333860130516005, -0.6095251345978883, -0.6809769925659331, -0.748400775360522, -0.8124215548040621, -0.8737074877583806, -0.9331285518465344, -0.9922356863327412, -1.0552833177218968, -1.0975979049716924, -1.1327600646824028, -1.162355335736126, -1.1869632020804983, -1.2059660784307074, -1.224001053866353, -1.2430134793744734, -1.2632054030223476, -1.2836428065613188, -1.3037909401953494, -1.3233171833136108, -1.3420536603170745, -1.3600344630341754, -1.3716365091839138, -1.3791780000873297, -1.3828377661563453, -1.3831583008333055, -1.3803285895472988, -1.374376688934864, -1.3652351640413918, -1.3527624255472313, -1.336747762211949, -1.3169073712600512, -1.2928731052666076, -1.264173267081068, -1.2302032210081009, -1.190182826174168, -1.1431012214043306, -1.0876752824188944, -1.0224698289717518, -0.9466632929503946, -0.8614511423988189, -0.7690719591518921, -0.670422971881646, -0.5653572198783214, -0.45343454072945805, -0.3341634129796667, -0.2070500042066281, -0.07160326214405033, 0.07266862572693124, 0.2262627814719795, 0.3896857540182029, 0.5634571108418575, 0.7481126474251534, 0.944207349004209, 1.1523181919984749, 1.3730468335182409, 1.6070222137192787, 1.8549030841943266, 2.1173804721828384, 2.395180091131154, 2.689064710405082, 2.9998364997037554, 3.328339365400219, 3.675461297087969, 4.042136742513394, 4.4293490284968815, 4.838132844408197, 5.269576803179275, 5.724826093761776, 6.205085237422978, 6.711620958916025, 7.245765183000802, 7.808918165312271, 8.402551766507784, 9.028212877435488, 9.687527003357705, 10.382202014332176, 11.114032069136645, 11.884901719565057, 12.69679020244805, 13.551775926014528, 14.452041157774214, 15.399876921132488, 16.397688108109687, 17.44799881528224, 18.553457911665483, 19.71684484667083, 20.941075707764647, 22.229209538655432, 23.584454930874205, 25.010176905261098, 26.50714195244746, 27.96278931591659, 29.380354748432616, 30.76262851933966, 32.11203894572632, 33.43071656421623, 34.720544195984814, 35.98319654548349, 37.22017190794763, 38.43281784065622, 39.62235215627686, 40.78988024782916, 41.93640950575616, 43.062861407085286, 44.17008172401838, 45.258849200586106, 46.3298829716926, 47.3838489423309, 48.42136530128921, 49.44300730995636, 50.44931148045728, 51.44077923654385, 52.41788013413182, 53.38105470514128, 54.33071697763474, 55.26725671660274, 56.19104142269529, 57.10241812041579, 58.00171496252487, 58.88924267345217, 59.7652958512232, 60.63015414465792, 61.484083320286246, 62.3273362314765, 63.16015370062228, 63.98276532383022, 64.79539020635438, 65.5982376359995, 66.39150770083484, 67.17539185680383, 67.9500734501591, 68.7157281990863, 69.47252463838657, 70.22062453065853, 70.96018324704508, 71.69135012028269, 72.41426877250134, 73.1290774199711, 73.83590915676616, 74.53489221912068, 75.22615023207513, 75.90980243985653, 76.58596392129859, 77.25474579148351, 77.9162553906792, 78.57059646154579, 79.2178693154989, 79.85817098903743, 80.49159539077351, 81.11823343983804, 81.73817319627814, 82.35149998401126, 82.95829650685337, 83.55864295809658, 84.15261712407332, 84.74029448210891, 85.32174829323341, 85.89704968999384, 86.46626775968258, 87.02946962327341, 87.5867205103347, 88.13808383016938, 88.6836212394135, 89.22339270630745, 89.75745657183982, 90.2858696079485, 90.80868707295174, 91.32596276436952, 91.83774906928433, 92.34409701238111, 92.84505630179584, 93.34067537289465, 93.83100143009666, 94.31608048684654, 94.79595740383607, 95.2706759255682, 95.74027871534965, 96.20480738879512, 96.6643025459185, 97.11880380188384, 97.56834981648369, 98.01297832240786, 98.45272615236316, 98.8876292650997, 99.31772277039751, 99.7430409530625, 100.16361729598012, 100.57948450226989, 100.99067451658362, 101.39721854558663, 101.79914707765927, 102.19648990185443, 102.58927612614424, 102.97753419498783, 103.36129190624975, 103.740576427498, 104.11541431170821, 104.48583151239934, 104.85185339822544, 105.21350476704623, 105.5708098594983, 105.92379237208749, 106.27247546982234, 106.61688179840716, 106.9570334960122, 107.2929522046384, 107.62465908109215, 107.95217480758582, 108.27551960197816, 108.59471322766898, 108.9097750031607, 109.2207238112999, 109.52757810821042, 109.83035593192974, 110.12907491075956, 110.42375227134052, 110.71440484646189, 111.0010490826147, 111.28370104729807, 111.56237643608718, 111.83709057947121, 112.1078584494688, 112.37469466602913, 112.63761350322554, 112.89662889524855, 113.15175444220507, 113.40300341572978, 113.65038876441531, 113.89392311906639, 114.13361879778398, 114.36948781088438, 114.60154186565832, 114.82979237097547, 115.05425044173829, 115.27492690319029, 115.4918322950824, 115.7049768757021, 115.91437062576875, 116.12002325219937, 116.32194419174796, 116.52014261452204, 116.71462742737992, 116.90540727721142, 117.0924905541055, 117.27588539440713, 117.45559968366715, 117.63164105948654, 117.80401691425878, 117.97273439781183, 118.13780041995273, 118.29922165291684, 118.45700453372336, 118.61115526644026, 118.76167982435926, 118.90858395208384, 119.0518731675312, 119.19155276385068, 119.3276278112594, 119.46010315879725, 119.58898343600251, 119.71427305450945, 119.8359762095693, 119.95409688149577, 120.06863883703626, 120.1796056306702, 120.28700060583506, 120.3908268960814, 120.49108742615793, 120.587784913027, 120.68092186681201, 120.770500591677, 120.85652318663922, 120.93899154631548, 121.01790736160285, 121.09327212029416, 121.16508710762888, 121.23335340677971, 121.29807189927563, 121.35924326536116, 121.41686798429285, 121.4709463345727, 121.52147839411884, 121.56846404037378, 121.61190295035051, 121.65179460061577, 121.68813826721137, 121.7209330255131, 121.75017775002733, 121.77587111412466, 121.79801158971141, 121.8165974468379, 121.83162675324353, 121.84309737383859, 121.85100697012189, 121.85535299953452, 121.85613271474855, 121.85334316289082, 121.84698118470065, 121.83704341362149, 121.82352627482521, 121.806425984169, 121.78573854708328, 121.76145975739085, 121.7335851960553, 121.70211022985852, 121.66703001000606, 121.62833947065928, 121.58603332739305, 121.54010607557812, 121.49055198868675, 121.43736511652016, 121.38053928335673, 121.32006808601908, 121.25594489185909, 121.18816283665863, 121.11671482244479, 121.04159351521766, 120.96279134258886, 120.8803004913288, 120.79411290482092, 120.70422028042071, 120.61061406671683, 120.51328546069303, 120.41222540478743, 120.30742458384755, 120.19887342197765, 120.08656207927648, 119.97048044846184, 119.85061815137972, 119.72696453539409, 119.59950866965508, 119.46823934124123, 119.333145051173, 119.19421401029366, 119.05143413501357, 118.90479304291404, 118.75427804820676, 118.59987615704408, 118.44157406267597, 118.27935814044884, 118.11321444264122, 117.94312869313127, 117.76908628189081, 117.59107225929998, 117.40907133027724, 117.22306784821811, 117.0330458087365, 116.83898884320209, 116.64088021206653, 116.43870279797171, 116.23243909863196, 116.02207121948248, 115.8075808660862, 115.58894933628949, 115.36615751211856, 115.13918585140652, 114.90801437914139, 114.67262267852486, 114.43298988173065, 114.18909466035126, 113.94091521552109, 113.68842926770381, 113.43161404613038, 113.17044627787436, 112.90490217655002, 112.63495743061827, 112.36058719128425, 112.08176605997048, 111.79846807534751, 111.51066669990419, 111.21833480603809, 110.92144466164576, 110.61996791519144, 110.31387558023214, 110.00313801937492, 109.68772492764204, 109.36760531521732, 109.04274748954636, 108.71311903676146, 108.37868680240035, 108.03941687138663, 107.69527454723735, 107.34622433046178, 106.9922298961131, 106.63325407045274, 106.26925880668428, 105.9002051597122, 105.52605325987734, 105.146762285618, 104.7622904350036, 104.37259489608364, 103.97763181599082, 103.57735626873524, 103.17172222162026, 102.7606825002085, 102.34418875176013, 101.9221914070615, 101.49463964055711, 101.06148132869112, 100.62266300635962, 100.1781298213673, 99.72782548677577, 99.27169223102233, 98.80967074568004, 98.34170013072112, 97.86771783713526, 97.38765960674445, 96.90145940904436, 96.40904937488952, 95.91035972682657, 95.4053187058647, 94.89385249445675, 94.37588513544708, 93.8513384467228, 93.32013193128559, 92.78218268243684, 92.2374052837463, 91.68571170344549, 91.12701118285901, 90.56121011845329, 89.98821193704754, 89.40791696369168, 88.82022228167325, 88.22502158406763, 87.62220501619312, 87.01165900827428, 86.39326609755284, 85.76690473901363, 85.13244910381422, 84.48976886441841, 83.83872896533559, 83.17918937825885, 82.5110048402718, 81.83402457365725, 81.14809198568764, 80.45304434660376, 79.74871244379484, 79.03492020997345, 78.31148432289154, 77.57821377386324, 76.8349094020424, 76.08136339104071, 75.3173587240603, 74.54266859324292, 73.75705575839883, 72.96027184965783, 72.15205660787171, 71.33213705577273, 70.50022659193819, 69.65602399850268, 68.79921235226726, 67.92945782734448, 67.04640837570693, 66.14969226992064, 65.23891648988113, 64.31366493244572, 63.37349641937481, 62.41794247482915, 61.44650483866598, 60.458652675735074, 59.45381943404476, 58.43139929572671, 57.39074315376173, 56.33115403389884, 55.2518818644041, 54.152117475286495, 53.03098568223564, 51.88753727701794, 50.72073970328, 49.529466141543935, 48.31248265542084, 47.06843295680465, 45.79582022265743, 44.49298522792696, 43.15807983060196, 41.78903452992533, 40.38351837817764, 38.93888890002522, 37.45212876675354, 35.91976463409588, 34.337761531836236, 32.70138306686853, 31.005002725858127, 29.27408254163694, 27.626608792344822, 26.064403186841048, 24.583407918448316, 23.1794522674673, 21.848548744776107, 20.58690205029326, 19.390902737107783, 18.25711996914744, 17.1822942149925, 16.163329988644858, 15.197288694475933, 14.281381617878887, 13.412963092612236, 12.589523867475922, 11.808684688338861, 11.068190105353361, 10.365902510874246, 9.699796409623954, 9.067952918289992, 8.468554488649398, 7.899879843779717, 7.3602991130656195, 6.848269145643569, 6.362328975888699, 5.901095405548606, 5.4632586566689305, 5.047578035391301, 4.652877529491744, 4.278041240628556, 3.9220085255364823, 3.5837686869963723, 3.262355014271147, 2.9568379189327096, 2.666316838758094, 2.3899104761505137, 2.12674477754553, 1.8759378320087212, 1.6365806210135776, 1.4077126841316898, 1.1882942149375733, 0.9771897330517254, 0.7732439381962446, 0.5758145721804067, 0.38694096507609615, 0.23609068671668879, 0.10139062309026244, -0.019944822542417393, -0.14121041012746535, -0.2511136028381429, -0.3506385144091844, -0.44156611137311036, -0.5252850831959514, -0.6028696403803468, -0.6751821823122122, -0.7429455370340056, -0.8067996879785213, -0.8673598873356175, -0.9253039749926852, -0.9815697429464013, -1.0380225535497152, -1.0871918238975515, -1.1257070643416125, -1.1575984236651142, -1.1842872276713314, -1.206234479534271, -1.223071785009255, -1.2385310986760125, -1.2558890726570582, -1.274048229940183, -1.2921603642274957, -1.3097057184807877, -1.3263175537850986, -1.3417180238563429, -1.3555627008078965, -1.3631229244466405, -1.3667283136205162, -1.3666775728447462, -1.3633623341894532, -1.356898629322699, -1.347270886554266, -1.334378520483221, -1.3180504945339626, -1.298046935753232, -1.2740527991706265, -1.245664434474771, -1.212367911331419, -1.1735065577267432, -1.1282348011359182, -1.0754609063664144, -1.0138160830747414, -0.941841871015472, -0.8589422632174191, -0.7667364890235312, -0.667508179704783, -0.5619899102282947, -0.4499455402617967, -0.3308919212562002, -0.2043096718792004, -0.06968317559243152, 0.07349712590488945, 0.22573943424930498, 0.3875557917667523, 0.5594666449307942, 0.7420047830439832, 0.9357188345280363, 1.1411764717430775, 1.358967418766012, 1.5897063143260217, 1.8340354573724575, 2.092627451369931, 2.3661877605595616, 2.655457192252219, 2.9612143219760103, 3.2842778805191934, 3.6255091235902426, 3.985814205039144, 4.366146574119751, 4.767509416352998, 5.190958155497933, 5.63760303287453, 6.108611778364488, 6.605212385653409, 7.128696003155619, 7.680419951027313, 8.261810872769363, 8.874368030677797, 9.519666752166268, 10.199362034796511, 10.915192316861233, 11.668983419993793, 12.462652670803491, 13.298213207619881, 14.177778478717348, 15.103566938420684, 16.077906947441946, 17.103241883721438, 18.182135470068935, 19.317277326197246, 20.511488751289544, 21.767728746266734, 23.089100283811923, 24.478856837875025, 25.94040918623319, 27.455120912169004, 28.927943654438277, 30.362144989344532, 31.760544720879082, 33.125598447854266, 34.459461851137895, 35.76404090944994, 37.04103166011914, 38.291952066983754, 39.5181678438137, 40.72091358855066, 41.90131023685096, 43.060379595462, 44.19905653602435, 45.31819929752096, 46.41859824698936, 47.50098337380846, 48.566030736279046, 49.61436803568581, 50.646579459236875, 51.6632099068158, 52.66476869559892, 53.65173281998336, 54.62454983097139, 55.58364038843646, 56.52940053099858, 57.46220370114016, 58.38240255737196, 59.2903306004539, 60.18630363669538, 61.07062109804312, 61.943567235889425, 62.80541220320236, 63.656413037612765, 64.49681455642613, 65.32685017311108, 66.1467426436077, 66.95670474976411, 67.75693992632068, 68.54764283709612, 69.32899990536745, 70.1011898028623, 70.86438390128376, 71.61874668985352, 72.36443616197917, 73.10160417381982, 73.83039677723161, 74.55095452931856, 75.26341278058722, 75.96790194350369, 76.66454774307465, 77.3534714509155, 78.03479010413058, 78.70861671020467, 79.37506043899353, 80.03422680280359, 80.68621782545918, 81.33113220117845, 81.96906544400574, 82.60011002848432, 83.22435552219453, 83.84188871073108, 84.45279371564418, 85.05715210582775, 85.65504300279818, 86.24654318027119, 86.83172715841413, 87.41066729311966, 87.98343386062145, 88.55009513774837, 89.11071747809015, 89.66536538432885, 90.21410157697069, 90.75698705969684, 91.29408118153505, 91.8254416960407, 92.35112481766221, 92.87118527545344, 93.38567636428556, 93.89464999369929, 94.39815673452965, 94.89624586342717, 95.38896540538994, 95.87636217441512, 96.35848181237009, 96.83536882617831, 97.30706662340816, 97.7736175463476, 98.23506290464296, 98.69144300657507, 99.14279718904073, 99.58916384630515, 100.0305804575857, 100.46708361352384, 100.89870904159982, 101.32549163054061, 101.74746545376888, 102.16466379193814, 102.57711915459727, 102.98486330102384, 103.38792726026509, 103.78634135042171, 104.18013519720962, 104.56933775183028, 104.95397730818189, 105.33408151943858, 105.70967741402661, 106.08079141102168, 106.44744933499392, 106.80967643032206, 107.16749737500031, 107.52093629395827, 107.87001677191375, 108.21476186577804, 108.55519411663145, 108.89133556128567, 109.22320774345042, 109.55083172451904, 109.87422809398814, 110.19341697952521, 110.50841805669808, 110.81925055837843, 111.12593328383213, 111.42848460750733, 111.72692248753215, 112.02126447393212, 112.31152771657766, 112.59772897287083, 112.87988461518127, 113.15801063803961, 113.43212266509701, 113.70223595585844, 113.96836541219821, 114.23052558466405, 114.48873067857774, 114.7429945599385, 114.99333076113531, 115.23975248647506, 115.48227261753193, 115.72090371832338, 115.95565804031901, 116.18654752728645, 116.41358381997998, 116.63677826067621, 116.8561418975615, 117.07168548897565, 117.28341950751536, 117.4913541440026, 117.69549931132028, 117.89586464812014, 118.09245952240568, 118.28529303499376, 118.4743740228578, 118.659711062356, 118.84131247234728, 119.01918631719813, 119.1933404096824, 119.36378231377749, 119.53051934735858, 119.6935585847939, 119.85290685944301, 120.00857076606037, 120.16055666310615, 120.3088706749662, 120.4535186940837, 120.59450638300333, 120.73183917633034, 120.86552228260584, 120.99556068610048, 121.12195914852704, 121.24472221067397, 121.36385419396126, 121.47935920191983, 121.5912411215953, 121.69950362487766, 121.80415016975813, 121.90518400151326, 122.00260815381881, 122.09642544979242, 122.18663850296761, 122.27324971819877, 122.35626129249839, 122.43567521580698, 122.51149327169651, 122.58371703800766, 122.65234788742175, 122.71738698796743, 122.77883530346278, 122.83669359389305, 122.89096241572467, 122.94164212215534, 122.98873286330057, 123.03223458631736, 123.07214703546397, 123.10846975209729, 123.1412020746065, 123.17034313828421, 123.19589187513397, 123.21784701361452, 123.23620707832096, 123.25097038960185, 123.26213506311242, 123.2696990093039, 123.27365993284786, 123.2740153319956, 123.27076249787252, 123.26389851370581, 123.25342025398639, 123.23932438356323, 123.22160735666996, 123.20026541588324, 123.17529459101148, 123.14669069791393, 123.11444933724826, 123.07856589314696, 123.0390355318199, 122.995853200084, 122.94901362381673, 122.89851130633438, 122.84434052669185, 122.78649533790433, 122.72496956508856, 122.65975680352209, 122.59085041661984, 122.51824353382555, 122.44192904841667, 122.36189961522129, 122.27814764824458, 122.1906653182035, 122.09944454996732, 122.00447701990197, 121.9057541531159, 121.80326712060543, 121.69700683629688, 121.58696395398297, 121.47312886415119, 121.35549169070096, 121.23404228754703, 121.10877023510605, 120.97966483666295, 120.8467151146144, 120.70990980658551, 120.56923736141646, 120.4246859350149, 120.27624338607136, 120.12389727163247, 119.96763484252826, 119.80744303864951, 119.64330848407019, 119.47521748201008, 119.30315600963331, 119.1271097126769, 118.9470638999043, 118.7630035373782, 118.57491324254683, 118.3827772781375, 118.18657954585073, 117.98630357984895, 117.781932540032, 117.57344920509271, 117.36083596534456, 117.14407481531383, 116.92314734608695, 116.69803473740612, 116.46871774950179, 116.2351767146546, 115.9973915284752, 115.75534164089237, 115.50900604683807, 115.25836327661854, 115.00339138595837, 114.74406794570608, 114.48037003118742, 114.21227421119252, 113.93975653658269, 113.66279252850129, 113.38135716617313, 113.09542487427508, 112.8049695098606, 112.50996434881982, 112.21038207185524, 111.9061947499529, 111.5973738293275, 111.28389011581874, 110.96571375871498, 110.64281423397918, 110.31516032685069, 109.98272011379494, 109.64546094377161, 109.30334941879046, 108.95635137372179, 108.60443185532716, 108.24755510047383, 107.88568451349431, 107.51878264265031, 107.14681115565789, 106.76973081422797, 106.38750144757432, 106.00008192483709, 105.60743012636833, 105.2095029138214, 104.80625609898316, 104.39764441128446, 103.9836214639196, 103.56413971850142, 103.13915044817452, 102.70860369910334, 102.27244825024667, 101.83063157132479, 101.38309977887859, 100.92979759031375, 100.47066827581553, 100.00565360801214, 99.53469380925591, 99.05772749638264, 98.57469162279948, 98.08552141774086, 97.59015032252077, 97.08850992359658, 96.58052988224661, 96.06613786064788, 95.54525944412518, 95.01781805932461, 94.48373488804573, 93.94292877644497, 93.39531613930103, 92.8408108590071, 92.27932417892825, 91.71076459073112, 91.13503771526166, 90.55204617650898, 89.961689468155, 89.36386381216451, 88.75846200882283, 88.14537327757482, 87.52448308795931, 86.89567297986896, 86.25882037229151, 85.61379835960983, 84.96047549444704, 84.29871555594451, 83.62837730224852, 82.94931420585817, 82.26137417034641, 81.56439922681197, 80.85822520824284, 80.14268139977588, 79.41759016261388, 78.68276652910981, 77.93801776624335, 77.18314290439083, 76.41793222792225, 75.6421667237391, 74.85561748338698, 74.05804505382844, 73.24919873132862, 72.4288157921807, 71.59662065315725, 70.7523239536007, 69.89562154993584, 69.02619341206893, 68.14370240959676, 67.24779297394049, 66.33808962038918, 65.41419531151882, 64.47568964046575, 63.52212680897112, 62.55303337085152, 61.56790570642684, 60.566207187246555, 59.547364982941275, 58.51076645285421, 57.45575505385035, 56.38162568180307, 55.287619346990816, 54.17291706204108, 53.0366327938587, 51.87780529645594, 50.69538859744081, 49.48824085393489, 48.25511121947832, 46.99462426586229, 45.705261374047744, 44.38533833377298, 43.03297815370656, 41.64607775572443, 40.22226676677112, 38.758855966160944, 37.25277199492914, 35.70047352557331, 34.09784195830012, 32.44003639905654, 30.721297384765315, 28.99033554346014, 27.34443931270198, 25.78429350192013, 24.305734572115487, 22.904544951800258, 21.576697573167174, 20.318361671571278, 19.12589589736131, 17.995840705980573, 16.924910734489075, 15.909987262651411, 14.948110810099436, 14.03647390702253, 13.172414065890838, 12.353406973793598, 11.577059918612408, 10.841105457068053, 10.143395327935245, 9.481894610218708, 8.854676122142658, 8.259915053415705, 7.695883818993307, 7.160947118425024, 6.6535571791562, 6.172249155527542, 5.715636646204422, 5.282407281900779, 4.871318320991269, 4.481192172900727, 4.110911747049478, 3.7594154982256134, 3.4256920059551836, 3.1087738845892856, 2.8077307676765177, 2.521661037485969, 2.249681864128953, 1.990916959304469, 1.7444812269184091, 1.5094612867111195, 1.2848911710628144, 1.0697257940468272, 0.8628321727679857, 0.6631005283442605, 0.4701154538846971, 0.3051394788441211, 0.1583049736958905, 0.02741367891974173, -0.09038959770278344, -0.20790693922953354, -0.3142778641523411, -0.41047877718656833, -0.4982376407631891, -0.5789018383771817, -0.6535141263256128, -0.7229112315756216, -0.7877932386128705, -0.8487781035076817, -0.906457587632495, -0.9614818912253591, -1.0147538890329224, -1.0681016535361063, -1.1132569777820323, -1.1486891733296452, -1.1778776242174527, -1.202137332708107, -1.2219032150181688, -1.2373543726140739, -1.2509387666704144, -1.2665209198946736, -1.2825761057988636, -1.2983150961942818, -1.3132203270211114, -1.3268795304350012, -1.3388827946368602, -1.3484709617435051, -1.3523755221639935, -1.351842151077265, -1.3478645114921812, -1.340693299685186, -1.330369999849987, -1.3168326908032846, -1.2999445611527416, -1.2795016983602452, -1.2552310793857018, -1.2267815602437826, -1.1937078248124156, -1.1554456135517883, -1.111275330487908, -1.0602714051702198, -1.0012436273117686, -0.9327268259210413, -0.853280871601284, -0.7627014434477132, -0.6631323504255981, -0.5567759908644714, -0.44412121529602727, -0.3248263572882499, -0.19836456255753027, -0.06419090882201, 0.0782294900071002, 0.22942262471793526, 0.3899115572443348, 0.5602222426111076, 0.7408884865424098, 0.932456172300848, 1.1354869824979101, 1.3505617843451192, 1.5782837817209114, 1.8192814923345946, 2.0742115824892022, 2.3437615804097396, 2.628652485540696, 2.929641292086903, 3.2475234468713334, 3.583135263403873, 3.937356315105542, 4.311111829978657, 4.7053751087769236, 5.121169986538529, 5.5595733556921685, 6.021717767159032, 6.508794123511711, 7.022054477346869, 7.562814945394941, 8.132458748918628, 8.732439388876234, 9.364283964133223, 10.02959664010199, 10.730062274767672, 11.467450208500418, 12.243618224123415, 13.060516682965764, 13.920192842836567, 14.824795363416056, 15.776579004639718, 16.77790952326318, 17.83126877296879, 18.939260013497503, 20.10461343365239, 21.330191894214448, 22.618996896699212, 23.974174784585976, 25.399023186275528, 26.896997709447533, 28.42615569252894, 29.91303209778555, 31.360904118601677, 32.772602919617505, 34.1505963177326, 35.49705251153493, 36.8138899471794, 38.10281686264934, 39.36536302564988, 40.60290548343267, 41.816689660306245, 43.007846798471554, 44.177408494192676, 45.326318904206786, 46.45544506678003, 47.56558568446476, 48.65747864215506, 49.73180747801976, 50.789206981752336, 51.830268061052294, 52.855541990977386, 53.865544140047604, 54.8607572504609, 55.84163433653818, 56.808601254832325, 57.76205899066399, 58.70238569876638, 59.62993852990569, 60.54505527054763, 61.44805581865826, 62.339243515411525, 63.218906349799404, 64.0873180508051, 64.944739079831, 65.79141753440189, 66.62758997274469, 67.45348216763374, 68.2693097968525, 69.07527907672953, 69.87158734444054, 70.65842359409983, 71.43596897109163, 72.20439722858856, 72.96387514977009, 73.71456293886835, 74.45661458384001, 75.19017819316323, 75.91539630900473, 76.63240619877301, 77.34134012687007, 78.04232560827846, 78.73548564546091, 79.42093894990774, 80.09880014954348, 80.76917998309135, 81.43218548239341, 82.0879201435954, 82.73648408802458, 83.37797421351615, 84.01248433687883, 84.64010532813116, 85.26092523708871, 85.87502941283195, 86.48250061654271, 87.08341912815845, 87.67786284725602, 88.26590738854584, 88.847626172327, 89.42309051022679, 89.99236968652475, 90.55553103533819, 91.11264001392453, 91.66376027233976, 92.20895371967252, 92.74828058705882, 93.28179948766856, 93.80956747383989, 94.33164009152676, 94.84807143221332, 95.35891418243855, 95.8642196710644, 96.36403791441246, 96.8584176593861, 97.34740642468677, 97.831050540227, 98.30939518483507, 98.78248442234232, 99.25036123613557, 99.71306756225457, 100.17064432110882, 100.62313144788213, 101.07056792169153, 101.51299179356172, 101.95044021327323, 102.38294945513805, 102.81055494275563, 103.23329127279618, 103.65119223785862, 104.06429084844494, 104.47261935409247, 104.87620926370315, 105.2750913651047, 105.66929574387984, 106.05885180149534, 106.44378827276161, 106.82413324265278, 107.19991416251385, 107.57115786568278, 107.93789058255102, 108.30013795508665, 108.65792505084299, 109.01127637647299, 109.36021589077116, 109.70476701726034, 110.04495265634311, 110.38079519703503, 110.71231652829577, 111.03953804997363, 111.36248068337973, 111.68116488150523, 111.99561063889446, 112.30583750118907, 112.61186457435326, 112.91371053359337, 113.21139363198284, 113.5049317088024, 113.79434219760712, 114.07964213402889, 114.36084816332419, 114.6379765476765, 114.91104317326067, 115.18006355707922, 115.44505285357612, 115.7060258610375, 115.9629970277855, 116.21598045817156, 116.46498991837717, 116.71003884202688, 116.9511403356201, 117.18830718378763, 117.42155185437811, 117.65088650337951, 117.87632297968106, 118.09787282968017, 118.31554730173883, 118.52935735049425, 118.73931364102775, 118.94542655289614, 119.14770618402873, 119.34616235449485, 119.54080461014483, 119.73164222612715, 119.91868421028693, 120.10193930644633, 120.28141599757258, 120.45712250883405, 120.62906681054888, 120.7972566210278, 120.96169940931419, 121.12240239782332, 121.27937256488396, 121.43261664718324, 121.58214114211772, 121.72795231005267, 121.87005617649186, 122.00845853415824, 122.14316494498858, 122.27418074204375, 122.4015110313354, 122.52516069357088, 122.64513438581866, 122.76143654309415, 122.87407137986852, 122.98304289150067, 123.08835485559456, 123.19001083328246, 123.28801417043466, 123.38236799879765, 123.47307523706122, 123.56013859185492, 123.64356055867502, 123.72334342274307, 123.79948925979636, 123.87199993681085, 123.94087711265712, 124.00612223869021, 124.0677365592736, 124.12572111223763, 124.1800767292733, 124.23080403626064, 124.27790345353341, 124.3213751960789, 124.36121927367417, 124.39743549095805, 124.43002344743981, 124.45898253744333, 124.48431194998794, 124.50601066860517, 124.5240774710919, 124.5385109291987, 124.54930940825422, 124.55647106672512, 124.55999385571077, 124.55987551837259, 124.55611358929838, 124.54870539379944, 124.5376480471422, 124.52293845371176, 124.50457330610821, 124.4825490841742, 124.4568620539534, 124.42750826657885, 124.39448355709101, 124.35778354318342, 124.31740362387659, 124.27333897811738, 124.22558456330455, 124.17413511373799, 124.11898513899092, 124.06012892220427, 123.99756051830116, 123.93127375212036, 123.86126221646758, 123.78751927008241, 123.71003803552014, 123.62881139694586, 123.54383199783976, 123.45509223861116, 123.36258427412018, 123.2663000111041, 123.1662311055067, 123.06236895970859, 122.95470471965565, 122.8432292718833, 122.72793324043498, 122.60880698367022, 122.48584059096196, 122.359023879278, 122.22834638964527, 122.09379738349237, 121.95536583886876, 121.81304044653507, 121.66680960592328, 121.51666142096094, 121.36258369575727, 121.20456393014553, 121.04258931507914, 120.87664672787534, 120.70672272730336, 120.53280354851138, 120.35487509778767, 120.17292294715017, 119.98693232876009, 119.79688812915285, 119.60277488328057, 119.40457676836077, 119.20227759752366, 118.99586081325204, 118.78530948060612, 118.57060628022717, 118.35173350111008, 118.12867303313952, 117.90140635937844, 117.66991454810284, 117.43417824457131, 117.1941776625209, 116.94989257537958, 116.70130230718328, 116.44838572318797, 116.19112122016426, 115.92948671636314, 115.66345964113894, 115.39301692421799, 115.11813498459698, 114.83878971905828, 114.55495649028528, 114.26661011456258, 113.97372484904392, 113.67627437856953, 113.37423180201498, 113.0675696181514, 112.75625971099615, 112.44027333463309, 112.11958109747864, 111.79415294596986, 111.46395814764976, 111.12896527362211, 110.78914218034824, 110.44445599075593, 110.0948730746293, 109.74035902824633, 109.38087865322892, 109.0163959345694, 108.64687401779364, 108.27227518521994, 107.89256083127005, 107.50769143678637, 107.11762654230591, 106.72232472023991, 106.32174354590366, 105.91583956733871, 105.5045682738653, 105.0878840632997, 104.66574020776694, 104.23808881803423, 103.80488080628658, 103.366065847261, 102.92159233764961, 102.47140735367638, 102.01545660674651, 101.5536843970593, 101.08603356506961, 100.61244544067416, 100.1328597899897, 99.6472147595829, 99.15544681799992, 98.65749069443291, 98.15327931435023, 97.64274373190327, 97.12581305890885, 96.60241439019217, 96.07247272505778, 95.53591088463858, 94.99264942485368, 94.4426065446846, 93.88569798945545, 93.32183694877854, 92.75093394879808, 92.1728967383346, 91.58763016849957, 90.995036065312, 90.39501309480997, 89.7874566201039, 89.1722585497706, 88.54930717693234, 87.91848700830487, 87.27967858243304, 86.63275827625804, 85.97759809907903, 85.31406547288059, 84.64202299789665, 83.96132820216769, 83.27183327372231, 82.57338477387164, 81.86582332994755, 81.14898330563592, 80.42269244685536, 79.68677150090544, 78.94103380635148, 78.18528485082267, 77.41932179356984, 76.6429329492546, 75.85589722901273, 75.0579835343447, 74.24895009882617, 73.42854377198485, 72.59649923894804, 71.7525381686053, 70.8963682820359, 70.02768233179319, 69.14615698128841, 68.25145157193779, 67.34320676388221, 66.42104303390504, 65.48455901158863, 64.5333296316829, 63.56690407699946, 62.584803481763956, 61.5865183600869, 60.57150571784104, 59.53918579849006, 58.4889384039549, 57.42009871998585, 56.331952561149656, 55.223730932684965, 54.09460378412373, 52.943672801385446, 51.76996304823308, 50.5724132220958, 49.34986422997502, 48.101045712819, 46.82456004486864, 45.51886319878641, 44.18224168452605, 42.812784520332336, 41.40834884886923, 39.966517326149166, 38.48454471749171, 36.95929012547802, 35.387129775547145, 33.76384300598468, 32.08446055492113, 30.343058529883777, 28.617223664311677, 26.97807602506586, 25.424894645535957, 23.953410534058577, 22.559372823958398, 21.238728436836283, 19.98762405962678, 18.802398695974187, 17.679575714943432, 16.6158549379863, 15.60810484746984, 14.653354962697287, 13.748788416419167, 12.891734755641789, 12.079662983303214, 11.310174851304284, 10.580998410565323, 9.889981819698543, 9.235087409916714, 8.614386000809432, 8.026051457456099, 7.468355476025292, 6.939662580191154, 6.438425305232402, 5.963179539614392, 5.512539985145839, 5.085195685084774, 4.679905555619603, 4.2954938376115335, 3.9308453639200653, 3.5849005099631506, 3.2566496627524217, 2.9451270024195693, 2.6494033375551753, 2.3685776621259413, 2.1017669936781296, 1.8480938907953182, 1.6066708316196083, 1.3765804838411593, 1.1568514962895464, 0.946433974358292, 0.7442016816358484, 0.5491145328185636, 0.36108927753363096, 0.2030693124394881, 0.06279689119346885, -0.06226760286128332, -0.18711813511020012, -0.29909746160358447, -0.3993634733197441, -0.490055808688592, -0.5728075852764504, -0.6488460033343124, -0.7191267050850773, -0.7844228557949711, -0.8453869787222015, -0.9026019073347249, -0.9566376233973907, -1.0081469436511143, -1.0581113026515145, -1.1087991239715178, -1.1469693755427572, -1.1775944465560837, -1.202770136067879, -1.2234714847110428, -1.239908867025197, -1.2550981740458407, -1.268297791500274, -1.2822355144800117, -1.2959311692563942, -1.308778693163853, -1.3203012255955182, -1.3300136167808871, -1.337194548372122, -1.3397722989887138, -1.3380910673463866, -1.3328034125684958, -1.324293847946468, -1.3126417127425938, -1.2978066211452526, -1.2796702731124192, -1.2580483764419006, -1.2326912258901535, -1.203277204039027, -1.1693998879892737, -1.1305476826916336, -1.0860735665711814, -1.03515169376164, -0.9767199501414707, -0.9094269122875275, -0.831697132495679, -0.7423487332303533, -0.6421985040726854, -0.534005823122986, -0.41938892201590294, -0.29838334333190286, -0.17050718085938915, -0.03519126997062477, 0.10812881024155929, 0.2600023527843796, 0.42096881718765244, 0.591564827290008, 0.7723303008157607, 0.9638135562843979, 1.1665756581236602, 1.3811942462989364, 1.6082670166236008, 1.8484149509946766, 2.1022853545979925, 2.3705547338784267, 2.6539315398835237, 2.953158798242409, 3.2690166481623812, 3.602324813815718, 3.953945032711829, 4.324783465646443, 4.715793111813615, 5.127976251373212, 5.562386935639182, 6.02013354281526, 6.50238141536928, 7.0103555927181604, 7.545343651615829, 8.108698664787799, 8.701842287246079, 9.326267978778256, 9.983544369954673, 10.675318779011723, 11.403320885423211, 12.169366566696501, 12.975361903685187, 13.823307359751988, 14.715302138852822, 15.653548727512504, 16.640357624770132, 17.67815226471178, 18.76947413555449, 19.9169880989681, 21.123487913660266, 22.39190196689817, 23.725299217929546, 25.12689535819149, 26.600059194026286, 28.148319260347396, 29.681013663211647, 31.17180981133278, 32.62389024643778, 34.040012596997016, 35.422586909140655, 36.773735560286454, 38.09534035422857, 39.38908002103488, 40.6564604248256, 41.898839153541445, 43.11744572666109, 44.31339834629415, 45.48771789351044, 46.64133970849583, 47.77512357231381, 48.88986221757675, 49.98628862681425, 51.06508232490302, 52.12687483142789, 53.17225440728358, 54.20177020502414, 55.215935912824044, 56.21523296624475, 57.20011338941147, 58.17100231703001, 59.12830024039613, 60.07238501377852, 61.00361365198934, 61.92232394534912, 62.828835914432524, 63.72345312378581, 64.6064638711327, 65.47814226633224, 66.33874921244882, 67.18853329967865, 68.02773162150226, 68.85657052125624, 69.6752662763112, 70.48402572617537, 71.2830468500951, 72.07251929907792, 72.85262488670078, 73.62353804257916, 74.38542623194472, 75.13845034440826, 75.88276505465619, 76.61851915754394, 77.34585587979313, 78.06491317027984, 78.77582397070138, 79.47871646823444, 80.17371433164254, 80.86093693215152, 81.54049955028889, 82.21251356977308, 82.87708665943865, 83.5343229440971, 84.18432316515221, 84.82718483171818, 85.46300236292367, 86.09186722202944, 86.71386804293145, 87.32909074957716, 87.93761866877793, 88.53953263686334, 89.1349111005851, 89.7238302126504, 90.30636392223076, 90.88258406077017, 91.452560423388, 92.01636084615333, 92.57405127948554, 93.12569585791633, 93.67135696643489, 94.21109530361763, 94.74496994173336, 95.27303838400007, 95.79535661915718, 96.31197917350603, 96.82295916056214, 97.32834832845177, 97.828197105177, 98.32255464186676, 98.81146885412099, 99.29498646155132, 99.77315302561279, 100.2460129858162, 100.71360969440522, 101.17598544957667, 101.63318152731811, 102.08523821193265, 102.5321948253152, 102.97408975504331, 103.41096048133885, 103.84284360295622, 104.26977486204785, 104.691789168056, 105.10892062067632, 105.5212025319361, 105.92866744742864, 106.33134716674148, 106.72927276311597, 107.12247460237172, 107.51098236112901, 107.8948250443597, 108.27403100229705, 108.64862794672999, 109.01864296671079, 109.38410254369909, 109.74503256616646, 110.10145834368456, 110.45340462051784, 110.80089558874062, 111.1439549008986, 111.48260568223243, 111.81687054248162, 112.14677158728455, 112.47233042919036, 112.79356819829852, 113.11050555254009, 113.42316268761368, 113.73155934658969, 114.03571482919551, 114.33564800079296, 114.63137730105899, 114.92292075238176, 115.21029596798047, 115.49352015976052, 115.77261014591227, 116.04758235826247, 116.3184528493876, 116.5852372994965, 116.84795102309037, 117.10660897540821, 117.36122575866352, 117.6118156280806, 117.85839249773572, 118.10096994621057, 118.33956122206305, 118.57417924912141, 118.80483663160771, 119.031545659095, 119.25431831130409, 119.47316626274457, 119.68810088720363, 119.89913326208911, 120.10627417262911, 120.30953411593313, 120.50892330491921, 120.7044516721088, 120.8961288732957, 121.08396429109004, 121.26796703834182, 121.44814596144722, 121.6245096435399, 121.79706640757115, 121.96582431928064, 122.1307911900615, 122.2919745797211, 122.44938179914088, 122.6030199128374, 122.75289574142589, 122.8990158639901, 123.04138662035888, 123.18001411329207, 123.31490421057792, 123.44606254704308, 123.57349452647753, 123.69720532347515, 123.81719988519257, 123.9334829330266, 124.04605896421293, 124.15493225334585, 124.26010685382143, 124.36158659920507, 124.4593751045238, 124.55347576748576, 124.64389176962607, 124.73062607738203, 124.81368144309633, 124.89306040595099, 124.96876529283149, 125.04079821912275, 125.10916108943611, 125.17385559827012, 125.23488323060329, 125.29224526242136, 125.34594276117764, 125.39597658618828, 125.44234738896209, 125.48505561346519, 125.52410149632092, 125.55948506694527, 125.59120614761706, 125.61926435348464, 125.64365909250752, 125.66438956533369, 125.68145476511256, 125.69485347724269, 125.70458427905585, 125.71064553943494, 125.71303541836723, 125.71175186643158, 125.7067926242203, 125.69815522169411, 125.68583697747046, 125.66983499804468, 125.65014617694258, 125.62676719380549, 125.59969451340514, 125.56892438458912, 125.53445283915573, 125.49627569065665, 125.45438853312773, 125.40878673974599, 125.35946546141253, 125.30641962525941, 125.24964393308036, 125.18913285968327, 125.12488065116364, 125.05688132309743, 124.98512865865207, 124.90961620661403, 124.83033727933159, 124.74728495057045, 124.66045205328147, 124.56983117727829, 124.47541466682245, 124.37719461811486, 124.27516287669104, 124.16931103471838, 124.05963042819224, 123.94611213402979, 123.82874696705836, 123.70752547689544, 123.58243794471875, 123.45347437992223, 123.3206245166562, 123.18387781024754, 123.04322343349777, 122.8986502728551, 122.7501469244565, 122.59770169003777, 122.44130257270578, 122.2809372725704, 122.11659318223182, 121.94825738211823, 121.77591663566993, 121.59955738436557, 121.4191657425847, 121.23472749230247, 121.04622807761038, 120.85365259905838, 120.65698580781171, 120.45621209961719, 120.25131550857193, 120.04227970068858, 119.82908796724979, 119.61172321794508, 119.390167973782, 119.16440435976445, 118.93441409732955, 118.7001784965346, 118.46167844798529, 118.21889441449544, 117.97180642246906, 117.7203940529937, 117.46463643263507, 117.20451222392141, 116.93999961550546, 116.67107631199237, 116.39771952342025, 116.11990595437942, 115.83761179275709, 115.55081269809158, 115.25948378952116, 114.96359963331021, 114.66313422993684, 114.358061000722, 114.04835277398286, 113.73398177068891, 113.41491958960094, 113.09113719186973, 112.76260488507174, 112.42929230665729, 112.09116840678472, 111.74820143051434, 111.40035889933229, 111.04760759197451, 110.68991352451951, 110.32724192971497, 109.95955723550338, 109.58682304270884, 109.20900210184529, 108.8260562890037, 108.43794658077466, 108.04463302815782, 107.6460747294096, 107.24222980177552, 106.8330553520513, 106.41850744591291, 105.99854107595304, 105.57311012835633, 105.14216734814244, 104.70566430290083, 104.26355134493726, 103.81577757174524, 103.36229078471207, 102.90303744596102, 102.43796263322665, 101.96700999265151, 101.49012168938636, 101.0072383558668, 100.51829903763158, 100.02324113653656, 99.52200035121045, 99.01451061458454, 98.50070402831892, 97.98051079393309, 97.45385914043521, 96.92067524822829, 96.38088316905528, 95.8344047417264, 95.2811595033515, 94.7210645957794, 94.15403466692088, 93.57998176660722, 92.99881523660615, 92.41044159438685, 91.81476441018988, 91.21168417692117, 90.60109817234661, 89.98290031301778, 89.35698099930885, 88.72322695088864, 88.08152103188927, 87.43174206496427, 86.7737646333526, 86.10745886998038, 85.43269023253721, 84.74931926335897, 84.05720133283137, 83.35618636489686, 82.64611854310016, 81.926835995442, 81.19817045612533, 80.45994690206713, 79.71198316181378, 78.95408949422894, 78.18606813401983, 77.40771280082248, 76.61880816817316, 75.8191292882456, 75.00844096771904, 74.18649708955363, 73.35303987477253, 72.50779907756801, 71.65049110614461, 70.78081806066496, 69.89846667844142, 69.00310717509318, 68.09439196871838, 67.17195427216845, 66.23540653619666, 65.28433872351003, 64.31831639049297, 63.33687854947585, 62.339535279750336, 61.32576504990335, 60.29501170722387, 59.24668108163749, 58.1801371414663, 57.094697625807946, 55.989629062841814, 54.86414106406615, 53.71737976024147, 52.548420214181974, 51.35625760650273, 50.13979694027587, 48.897840945527946, 47.62907577940333, 46.332054005264105, 45.00517418347241, 43.64665620284893, 42.254511202347416, 40.82650454366367, 39.360109745927325, 37.85245050327838, 36.30022674752511, 34.69961898301539, 33.04616245971679, 31.3345785575872, 29.558543943485816, 27.857920301312518, 26.24619519282206, 24.719649249928796, 23.273875952066664, 21.904638786455557, 20.60790845457866, 19.379856966628914, 18.216849445741676, 17.115435864921167, 16.072342895005594, 15.084465919634724, 14.14886125441034, 13.262738596850664, 12.423453726262325, 11.628501465471734, 10.875508911534839, 10.162228937873675, 9.48653396692271, 8.846410008324286, 8.239950954902495, 7.6653531250040725, 7.120910035524594, 6.605007385737355, 6.116118225619648, 5.652798275293463, 5.213681352273888, 4.797474851287402, 4.402955206068172, 4.028963243535818, 3.6743993177628735, 3.338218082879673, 3.0194227303108456, 2.717058473025942, 2.430205003118064, 2.1579675690231435, 1.8994661988443795, 1.6538224216219128, 1.4201426357127214, 1.1974972936463377, 0.9848965693128351, 0.781271819176623, 0.5855136708848334, 0.39680478000581526, 0.21609871902483688, 0.0695055873200759, -0.06051741506156781, -0.17674029330280114, -0.2923958791208806, -0.3963471496712409, -0.4896563141653168, -0.5741790739494572, -0.6513441825284082, -0.7222400309293848, -0.7877246032129828, -0.848499892683135, -0.9051659256431818, -0.9582690273124287, -1.0083629817665, -1.056128657927706, -1.102733398471918, -1.1465433488388055, -1.178657518268725, -1.2045060905923928, -1.2256232723411509, -1.2426838763766648, -1.2555998587121957, -1.267463178869782, -1.2791610312900068, -1.2910001203438721, -1.3021794554701087, -1.3121412087533049, -1.3203778490687879, -1.3262622840246954, -1.328576447763772, -1.3262497007758538, -1.319973173435903, -1.3104201222848701, -1.29774907945282, -1.2819441258813191, -1.2629083222062667, -1.2404801390613394, -1.2144365185460035, -1.1844888744763666, -1.1502733046529747, -1.1113345274942932, -1.0671017727916907, -1.0168536991905412, -0.9596690946125322, -0.8943653577518215, -0.8194599901535596, -0.7333401506289455, -0.6352197932059371, -0.5268083813247955, -0.4109914312213638, -0.28887861332109294, -0.16025780107446105, -0.024572260194088674, 0.11877482985674716, 0.2703641637153262, 0.43075836430426556, 0.6005094034092441, 0.7801662303550975, 0.9702811654596359, 1.171415176173669, 1.3841423597462896, 1.6090538899347169, 1.846761594235854, 2.097901260618475, 2.3631357321075925, 2.643157826140314, 2.9386931067834228, 3.2505025351107335, 3.5793850233169353, 3.9261799189244604, 4.291769445624477, 4.677081126822823, 5.083090216354598, 5.510822158855576, 5.961355100389899, 6.435822466654828, 6.935415625055878, 7.461386643655566, 8.015051159110971, 8.597791363723728, 9.211059120615092, 9.856379214892712, 10.53535274820249, 11.249660682615385, 12.0010675403089, 12.791425264061255, 13.622677243543663, 14.496862512290987, 15.416120119389623, 16.382693679838177, 17.39893610681244, 18.46731452947728, 19.590415398410496, 20.77094978162447, 22.011758852363403, 23.31581957153575, 24.68625056549604, 26.12631820183682, 27.63944286601196, 29.223520205673594, 30.762151773838525, 32.25897970459942, 33.71713651477457, 35.13934199768199, 36.52797737728419, 37.885142964808594, 39.21270362283082, 40.51232506863591, 41.7855031923085, 43.03358797694892, 44.25780319701949, 45.45926277812301, 46.638984490049545, 47.7979014899958, 48.93687211788106, 50.0566882593432, 51.15808252644682, 52.24173445586886, 53.30827588540787, 54.35829563927744, 55.392343628713505, 56.4109344554441, 57.41455059040048, 58.4036451878443, 59.37864458520684, 60.33995053088814, 61.28794217567357, 62.2229778579972, 63.14539670879021, 64.05552009791438, 64.95365294106202, 65.84008488338236, 66.7150913738888, 67.57893464283433, 68.43186459265698, 69.27411961174545, 70.10592731912195, 70.92750524714572, 71.73906146848886, 72.54079517289904, 73.33289719862664, 74.11555052283852, 74.88893071486063, 75.65320635566886, 76.40853942668062, 77.1550856705759, 77.89299492659214, 78.62241144248848, 79.34347416515187, 80.0563170116235, 80.76106912214902, 81.45785509670382, 82.14679521630565, 82.82800565030492, 83.50159865073454, 84.16768273470156, 84.8263628557177, 85.477740564784, 86.12191416197665, 86.75897883921552, 87.38902681484005, 88.01214746056526, 88.6284274213432, 89.23795072861267, 89.84079890738124, 90.43705107754927, 91.02678404985238, 91.61007241677063, 92.18698863872642, 92.75760312586753, 93.32198431571155, 93.88019874690627, 94.43231112934218, 94.97838441083712, 95.51847984059694, 96.0526570296417, 96.58097400837373, 97.1034872814522, 97.62025188012741, 98.13132141217704, 98.63674810957885, 99.13658287404374, 99.63087532052579, 100.11967381881847, 100.60302553333901, 101.08097646119629, 101.55357146863287, 102.02085432592392, 102.48286774081309, 102.9396533905589, 103.39125195266166, 103.83770313433615, 104.27904570079238, 104.71531750238191, 105.1465555006643, 105.57279579344669, 105.99407363884305, 106.41042347840066, 106.82187895933667, 107.22847295592547, 107.63023759007588, 108.02720425113445, 108.41940361495001, 108.80686566223173, 109.18961969623165, 109.5676943597821, 109.94111765171415, 110.30991694268542, 110.67411899044077, 111.03374995453038, 111.38883541050771, 111.73940036362904, 112.08546926207437, 112.42706600970939, 112.76421397840701, 113.09693601994607, 113.42525447750339, 113.7491911967557, 114.06876753660583, 114.38400437954849, 114.69492214168827, 115.00154078242403, 115.30387981381133, 115.60195830961497, 115.89579491406334, 116.18540785031527, 116.47081492864899, 116.75203355438477, 117.02908073554842, 117.30197309028681, 117.57072685404232, 117.8353578864959, 118.09588167828525, 118.35231335750633, 118.60466769600602, 118.85295911547135, 119.09720169332287, 119.33740916841883, 119.57359494657474, 119.80577210590582, 120.03395340199627, 120.25815127290245, 120.47837784399292, 120.69464493263182, 120.90696405271007, 121.11534641902786, 121.31980295153383, 121.52034427942411, 121.71698074510606, 121.90972240802975, 122.09857904839093, 122.28356017070917, 122.4646750072843, 122.64193252153446, 122.81534141121853, 122.98491011154579, 123.15064679817635, 123.31255939011407, 123.47065555249493, 123.62494269927332, 123.77542799580834, 123.9221183613531, 124.06502047144788, 124.20414076022017, 124.33948542259358, 124.47106041640646, 124.5988714644433, 124.72292405637967, 124.84322345064292, 124.95977467618933, 125.07258253420042, 125.18165159969845, 125.28698622308382, 125.38859053159402, 125.4864684306866, 125.58062360534709, 125.671059521322, 125.75777942627919, 125.84078635089523, 125.92008310987194, 125.99567230288157, 126.06755631544262, 126.13573731972598, 126.20021727529276, 126.26099792976378, 126.31808081942198, 126.37146726974737, 126.42115839588567, 126.46715510305054, 126.5094580868601, 126.5480678336077, 126.5829846204674, 126.61420851563399, 126.6417393783984, 126.66557685915733, 126.68572039935886, 126.70216923138203, 126.71492237835213, 126.72397865389034, 126.72933666179836, 126.73099479567702, 126.72895123847934, 126.72320396199748, 126.71375072628274, 126.70058907899919, 126.68371635470947, 126.66312967409276, 126.6388259430943, 126.61080185200562, 126.57905387447497, 126.54357826644775, 126.50437106503443, 126.46142808730745, 126.41474492902428, 126.36431696327678, 126.31013933906503, 126.25220697979563, 126.19051458170192, 126.12505661218614, 126.05582730808153, 125.98282067383299, 125.9060304795955, 125.8254502592483, 125.74107330832285, 125.65289268184398, 125.56090119208164, 125.46509140621158, 125.36545564388332, 125.26198597469312, 125.15467421556018, 125.04351192800358, 124.92849041531765, 124.80960071964354, 124.68683361893484, 124.56017962381388, 124.42962897431637, 124.29517163652184, 124.15679729906647, 124.01449536953542, 123.86825497073146, 123.71806493681628, 123.56391380932155, 123.40578983302504, 123.2436809516895, 123.07757480365865, 122.90745871730745, 122.7333197063416, 122.55514446494176, 122.37291936274815, 122.18663043968064, 121.99626340058823, 121.80180360972416, 121.60323608503947, 121.40054549229015, 121.19371613895174, 120.98273196793438, 120.76757655109228, 120.54823308252035, 120.32468437163092, 120.09691283600284, 119.86490049399508, 119.62862895711636, 119.38807942214252, 119.14323266297255, 118.89406902221295, 118.64056840248192, 118.38271025742179, 118.12047358240945, 117.85383690495313, 117.58277827476377, 117.3072752534886, 117.02730490409311, 116.74284377987892, 116.45386791312194, 116.16035280331644, 115.86227340500908, 115.5596041152058, 115.25231876033479, 114.94039058274669, 114.62379222673287, 114.3024957240414, 113.9764724788696, 113.64569325231056, 113.31012814622989, 112.96974658654815, 112.62451730590247, 112.27440832565986, 111.9193869372529, 111.55941968280762, 111.19447233503038, 110.82450987632036, 110.44949647707102, 110.06939547312214, 109.684169342323, 109.29377968016311, 108.89818717442567, 108.49735157881597, 108.09123168551403, 107.6797852965979, 107.26296919428053, 106.84073910989977, 106.4130496915978, 105.9798544706214, 105.54110582617102, 105.0967549487216, 104.64675180173323, 104.19104508166443, 103.72958217619532, 103.26230912056177, 102.78917055189422, 102.31010966144964, 101.82506814461496, 101.33398614855398, 100.83680221736003, 100.33345323456659, 99.82387436285823, 99.30799898081267, 98.78575861649205, 98.25708287768859, 97.72189937861484, 97.18013366281338, 96.63170912204288, 96.07654691087953, 95.51456585675146, 94.94568236510209, 94.36981031935353, 93.78686097531444, 93.19674284964746, 92.59936160197931, 91.99461991020068, 91.38241733846533, 90.76265019735389, 90.1352113956213, 89.49999028289479, 88.85687248263159, 88.20573971458204, 87.54646960593305, 86.87893549022876, 86.2030061930779, 85.51854580356061, 84.82541343013933, 84.12346293975703, 83.41254267867194, 82.69249517342533, 81.96315681016897, 81.22435749038807, 80.47592026083844, 79.71766091527371, 78.94938756526196, 78.17090017707805, 77.38199007130174, 76.58243938134616, 75.77202046667799, 74.9504952759594, 74.11761465473359, 73.27311759157334, 72.41673039580404, 71.54816579897457, 70.66712197116198, 69.77328144192953, 68.86630991427627, 67.94585495818124, 67.01154456830288, 66.06298556798227, 65.09976183883916, 64.1214323518457, 63.12752897169245, 62.11755400137463, 61.090977428028935, 60.047233823901024, 58.98571884760762, 57.90578528017425, 56.80673851715862, 55.68783142183129, 54.54825842398291, 53.38714872327351, 52.20355842353995, 50.99646138297888, 49.76473851168142, 48.507165178544525, 47.222396298441836, 45.90894854965892, 44.56517900944682, 43.18925927532443, 41.779143836614516, 40.33253103722528, 38.846814369506156, 37.31902097021739, 35.74573290914423, 34.12298493161571, 32.446129336920876, 30.709653943928007, 28.941053003612428, 27.259855620259383, 25.667659498301422, 24.160123336679714, 22.732811196681883, 21.381490473468542, 20.102139369053496, 18.890939073710886, 17.744265174880105, 16.658679126260363, 15.63091987485345, 14.657895690765834, 13.73667623093619, 12.864484859390293, 12.038691238325171, 11.25680419913498, 10.51646489784812, 9.81544025452331, 9.151616673795987, 8.522994039772145, 7.927679975439756, 7.363884353423495, 6.829914040706863, 6.324167855244705, 5.845131706160571, 5.39137388131179, 4.96154043623997, 4.554350625866691, 4.168592304400521, 3.8031171997695905, 3.4568359452982524, 3.128712723349478, 2.8177593411779203, 2.5230285164112, 2.2436060914972713, 1.9786018124715334, 1.727138181593988, 1.4883367167491903, 1.2613007841915151, 1.0450944171683512, 0.8387190863956546, 0.6411037586599997, 0.4511862999224531, 0.2684301096408497, 0.09485597087624115, -0.042628233705823096, -0.16463905423931152, -0.2738521828141805, -0.38221319451388724, -0.4796720022556415, -0.5672219791556942, -0.6465305332077431, -0.718889430460587, -0.785291355458827, -0.8465245868979474, -0.9032381381158812, -0.9559906594759459, -1.005296861181272, -1.0516920742248241, -1.0958729789607886, -1.1391735996067662, -1.1753679484784068, -1.202927078812567, -1.2250029911875777, -1.2428230276488004, -1.25691529998338, -1.267453238365289, -1.2765711980001102, -1.2864704759087333, -1.296090511512953, -1.304723227403537, -1.3118213290320333, -1.3168228616093014, -1.3189255359999867, -1.3163550789517375, -1.3088177453427625, -1.2980608699221148, -1.2842804177266505, -1.267437240493648, -1.247441979932688, -1.2241487917823388, -1.1973555320660392, -1.166800632817836, -1.1321553470532455, -1.0930108469844046, -1.0488588273187334, -0.9990632371090119, -0.9428197885298822, -0.8791005250975708, -0.8065910270781401, -0.7236842170382228, -0.6288236587477788, -0.5218742278832652, -0.40541612787301085, -0.2821013626007648, -0.15252339875818113, -0.01627887736600818, 0.12724266248637928, 0.2786584109163499, 0.43856191622224283, 0.6075270583419955, 0.7861168783606681, 0.9748915837578391, 1.1744150903166541, 1.3852604020644708, 1.6080141872527531, 1.8432808087657824, 2.0916859711646585, 2.3538800814348857, 2.63054138220783, 2.9223788969928144, 3.2301352186840124, 3.554589170187576, 3.8965583657913143, 4.256901702076099, 4.636521806490331, 5.036367470918767, 5.4574360949536285, 5.900776161982256, 6.367489767930188, 6.858735220446194, 7.375729723779385, 7.919752162131173, 8.492145993427586, 9.094322262567301, 9.727762743230933, 10.394023215256391, 11.094736884632315, 11.831617951576526, 12.606465332487758, 13.421166540024155, 14.277701726127551, 15.178147891593934, 16.124683265479327, 17.119591857558877, 18.1652681858432, 19.26422218129165, 20.419084270631338, 21.63261063852268, 22.90768866820525, 24.247342561452744, 25.65473913562147, 27.133193798471414, 28.68617669967595, 30.274046374533977, 31.816690915679402, 33.31768210408225, 34.78009898341868, 36.20662027306889, 37.59959537436834, 38.9610997736474, 40.29297886581901, 41.59688304565059, 42.874296118291305, 44.1265585317586, 45.354886548471626, 46.560388197511685, 47.74407664961453, 48.906881510138504, 50.04965841601881, 51.173197240466365, 52.278229146570354, 53.36543268284574, 54.435439076433994, 55.48883685045869, 56.526175868991466, 57.547970894773364, 58.554704730179395, 59.54683100010251, 60.52477662585998, 61.488944031412814, 62.43971311678739, 63.377443028306374, 64.3024737508586, 65.21512754379796, 66.11571023901155, 67.00451241714106, 67.88181047577912, 68.74786760163994, 69.60293465714504, 70.4472509905454, 71.28104517756296, 72.1045357015663, 72.91793157845017, 73.72143293167227, 74.51523152226477, 75.29951123810059, 76.07444854621284, 76.84021291155632, 77.59696718523219, 78.34486796488218, 79.08406592967471, 79.81470615206015, 80.53692838825401, 81.25086734921166, 81.95665295368859, 82.65441056482592, 83.34426121156687, 84.02632179608634, 84.70070528830958, 85.36752090849822, 86.02687429879354, 86.67886768453094, 87.32360002606818, 87.96116716180597, 88.59166194302354, 89.21517436109976, 89.83179166764327, 90.4415984880121, 91.04467692866749, 91.64110667876886, 92.23096510638521, 92.81432734967235, 93.39126640333487, 93.96185320067086, 94.52615669147329, 95.08424391604434, 95.63618007555624, 96.18202859898007, 96.72185120678616, 97.25570797160411, 97.78365737602013, 98.3057563676751, 98.82206041181799, 99.33262354145569, 99.83749840523349, 100.33673631317124, 100.83038728037168, 101.31850006880907, 101.80112222730125, 102.27830012976092, 102.75007901181503, 103.21650300587723, 103.67761517475203, 104.13345754384495, 104.58407113204959, 105.02949598137461, 105.46977118537573, 105.90493491644825, 106.3350244520368, 106.76007619981273, 107.18012572186845, 107.5952077579748, 108.00535624794487, 108.41060435314552, 108.81098447719411, 109.20652828587964, 109.5972667263403, 109.98323004553238, 110.3644478080203, 110.74094891311773, 111.11276161140898, 111.47991352067386, 111.84243164124554, 112.20034237082133, 112.55367151875156, 112.90244431982713, 113.24668544758619, 113.5864190271597, 113.92166864767388, 114.25245737422779, 114.57880775946202, 114.90074185473509, 115.21828122092256, 115.53144693885278, 115.84025961939425, 116.14473941320587, 116.44490602016484, 116.74077869848244, 117.03237627351942, 117.31971714631278, 117.6028193018232, 117.88170031691354, 118.15637736806802, 118.426867238861, 118.69318632718368, 118.9553506522373, 119.21337586130129, 119.46727723628256, 119.71706970005432, 119.96276782259157, 120.204385826908, 120.44193759480335, 120.67543667242474, 120.90489627564996, 121.13032929529622, 121.35174830216117, 121.56916555190153, 121.78259298975217, 121.99204225509256, 122.19752468586397, 122.39905132284196, 122.5966329137684, 122.79027991734621, 122.98000250710201, 123.16581057511853, 123.34771373564237, 123.52572132856815, 123.69984242280408, 123.87008581952088, 124.0364600552877, 124.19897340509696, 124.35763388528213, 124.51244925632936, 124.66342702558676, 124.8105744498732, 124.9538985379884, 125.09340605312721, 125.22910351520049, 125.36099720306224, 125.48909315664835, 125.6133971790254, 125.73391483835373, 125.85065146976477, 125.9636121771549, 126.07280183489772, 126.1782250894746, 126.27988636102691, 126.37778984482868, 126.47193951268412, 126.56233911424765, 126.64899217826982, 126.73190201376947, 126.8110717111331, 126.8865041431413, 126.95820196592547, 127.02616761985254, 127.09040333034136, 127.15091110860892, 127.20769275234822, 127.26074984633865, 127.31008376298819, 127.35569566280942, 127.39758649482778, 127.43575699692404, 127.47020769611056, 127.5009389087415, 127.52795074065808, 127.55124308726673, 127.57081563355356, 127.58666785403196, 127.59879901262512, 127.60720816248364, 127.61189414573637, 127.61285559317592, 127.61009092387856, 127.60359834475653, 127.59337585004526, 127.57942122072232, 127.56173202385942, 127.54030561190633, 127.51513912190661, 127.48622947464393, 127.45357337371917, 127.41716730455691, 127.37700753334038, 127.33309010587575, 127.28541084638222, 127.23396535620967, 127.17874901248076, 127.1197569666577, 127.05698414303237, 126.9904252371388, 126.92007471408509, 126.84592680680666, 126.76797551423623, 126.68621459939155, 126.60063758737721, 126.51123776330117, 126.41800817010225, 126.3209416062883, 126.22003062358303, 126.11526752447801, 126.00664435969051, 125.89415292552236, 125.77778476111975, 125.65753114563032, 125.53338309525593, 125.40533136019776, 125.27336642149211, 125.1374784877334, 124.99765749168171, 124.85389308675205, 124.70617464338227, 124.55449124527581, 124.39883168551667, 124.23918446255213, 124.07553777604092, 123.90787952256107, 123.73619729117563, 123.56047835884962, 123.38070968571655, 123.1968779101871, 123.00896934389776, 122.8169699664928, 122.62086542023445, 122.4206410044375, 122.21628166972037, 122.00777201206823, 121.795096266702, 121.57823830174588, 121.35718161168764, 121.1319093106243, 120.90240412528529, 120.66864838782675, 120.43062402838761, 120.18831256739988, 119.94169510764439, 119.69075232604183, 119.43546446517145, 119.17581132450503, 118.91177225134761, 118.64332613147316, 118.37045137944315, 118.09312592859726, 117.81132722070235, 117.52503219524756, 117.23421727837022, 116.9388583713999, 116.6389308390033, 116.33440949691591, 116.02526859924171, 115.71148182530479, 115.39302226603346, 115.0698624098577, 114.74197412809886, 114.40932865983095, 114.0718965961898, 113.72964786410728, 113.38255170944385, 113.0305766794947, 112.67369060484035, 112.31186058051222, 111.94505294644291, 111.57323326716764, 111.19636631074226, 110.81441602684158, 110.42734552399912, 110.0351170459475, 109.6376919470161, 109.23503066654034, 108.82709270223397, 108.41383658247342, 107.99521983743924, 107.57119896905719, 107.14172941967823, 106.70676553943129, 106.26626055218094, 105.82016652001575, 105.36843430618967, 104.91101353643347, 104.4478525585472, 103.97889840018001, 103.50409672469686, 103.02339178502409, 102.53672637536047, 102.04404178063102, 101.54527772355216, 101.04037230916967, 100.52926196671868, 100.01188138864549, 99.48816346661937, 98.9580392243494, 98.42143774700851, 97.87828610705111, 97.32850928619528, 96.77203009332257, 96.2087690780297, 95.63864443954463, 95.0615719306978, 94.47746475661344, 93.8862334677593, 93.28778584696191, 92.68202678996361, 92.06885817905936, 91.4481787493131, 90.81988394680903, 90.18386577834526, 89.54001265192363, 88.88820920733109, 88.22833613604253, 87.56026998960296, 86.88388297556612, 86.19904273997818, 85.50561213529484, 84.80344897251, 84.0924057561495, 83.37232940064543, 82.64306092644975, 81.9044351340723, 81.15628025403025, 80.3984175704751, 79.630661016011, 78.85281673493552, 78.06468261180999, 77.26604776190032, 76.45669197961087, 75.63638514055476, 74.80488655235773, 73.96194424866135, 73.10729422006791, 72.24065957493073, 71.3617496219244, 70.47025886520154, 69.56586590162904, 68.64823220806002, 67.71700080479498, 66.77179477926096, 65.81221565142849, 64.83784155950562, 63.848225240898344, 62.84289177917749, 61.821336082682535, 60.78302005422155, 59.72736940383171, 58.653770047418675, 57.561564022864566, 56.45004484133073, 55.31845217425492, 54.16596575499319, 52.99169834691083, 51.79468759526732, 50.573886536145544, 49.32815247875989, 48.056233903329485, 46.75675491913563, 45.42819669761097, 44.068875120680474, 42.67691364659605, 41.25021006669865, 39.78639536533723, 38.28278223746546, 36.7362998631999, 35.143410122835505, 33.499998289366125, 31.801227897465598, 30.041344144731095, 28.293128716523263, 26.633958326537964, 25.063233700886148, 23.57650636542346, 22.169344832087244, 20.837528587212102, 19.57704973219225, 18.384104542641897, 17.25508458163523, 16.18656793543125, 15.175310646841051, 14.21823838445664, 13.312438373633269, 12.455151607058983, 11.643765345616545, 10.875805915801648, 10.148931805119439, 9.460927053029138, 8.80969493239863, 8.193251912885446, 7.6097218945939025, 7.057330697111549, 6.534400784720968, 6.039346203657336, 5.570667700927475, 5.12694798597517, 4.7068470863339, 4.309097735164942, 3.9325007126068283, 3.57592004326525, 3.238277928390653, 2.9185492633567764, 2.6157555566519854, 2.3289580231933065, 2.0572495650648936, 1.7997452649098948, 1.5555708863539557, 1.3238487038295994, 1.103679884699071, 0.8941232450895802, 0.6941743467295292, 0.5027693590119694, 0.3189322624049457, 0.14254976916429213, -0.005347245443193467, -0.13599523795281987, -0.25187534877934165, -0.3669168189934537, -0.469412705738104, -0.5605460262233107, -0.6423805479600142, -0.7164821216351227, -0.7840207021684118, -0.8458999894358032, -0.9028421620552187, -0.9554450593214944, -1.004226601957737, -1.0495247347538665, -1.0919714102836184, -1.1322506206345848, -1.171727664742963, -1.2016492443790228, -1.2247840808177533, -1.2431487115911768, -1.2577085909011723, -1.2688653036252948, -1.2787093837133294, -1.2866106051543098, -1.294425111574189, -1.3013233557300288, -1.3067174369220924, -1.310046526185998, -1.3105860600129131, -1.3069733867557793, -1.298878884054745, -1.286591202880739, -1.271391538998726, -1.2532539253728239, -1.232059829436341, -1.207662534636477, -1.1798702138778596, -1.1484389201270333, -1.113064900868745, -1.073373395685048, -1.0289023445520087, -0.9790789492297537, -0.923186115212272, -0.8603151646443835, -0.7893039597582996, -0.7086805252231875, -0.6167343590249614, -0.512184765913483, -0.39597769894194423, -0.27136603931277237, -0.14034095182538164, -0.0029787084408726457, 0.14127407634559616, 0.29306504333944394, 0.45302427036542275, 0.621753964000343, 0.7998366784797232, 0.9878449365155522, 1.1863493179454274, 1.3959249846758908, 1.6171570596181963, 1.8506452236805233, 2.097007775874979, 2.3568853077136036, 2.6309440831772473, 2.919879181812074, 3.2244174460239647, 3.545320266684682, 3.8833862388571307, 4.239453718970904, 4.6144033140662, 5.009160332755467, 5.4246972254519426, 5.862036039187616, 6.322250909392081, 6.8064706085120354, 7.315881168466827, 7.851728591280525, 8.415321660789724, 9.008034865889742, 9.631311444475543, 10.286666556104192, 10.97569058998266, 11.700052614842635, 12.461503975361216, 13.261882040313726, 14.103114106174147, 14.987221460116453, 15.916323605044148, 16.892642649270392, 17.91850786237454, 18.99636039902041, 20.12875819021427, 21.318381002396208, 22.568035662612075, 23.880661448139463, 25.25933563717393, 26.707279217591317, 28.227862749532573, 29.824612378371203, 31.410943662481177, 32.95259728983964, 34.45303376139453, 35.91524494301013, 37.34184041203228, 38.735114138134925, 40.09709674461189, 41.42959701200948, 42.73423523079223, 44.01247029149458, 45.26562190231881, 46.494888972012205, 47.70136494312827, 48.88605067671815, 50.04986535366388, 51.19365575637673, 52.31820421790143, 53.424235466915526, 54.51242255197326, 55.583391993226186, 56.6377282823006, 57.67597782922957, 58.69865243798184, 59.70623237821334, 60.69916910962834, 61.67788770620942, 62.64278902011888, 63.59425161894511, 64.53263352490993, 65.45827378045439, 66.37149386111729, 67.27259895369298, 68.16187911518584, 69.03961032599838, 69.90605544902586, 70.7614651048262, 71.60607847175454, 72.44012401885205, 73.26382017833475, 74.07737596371396, 74.88099153887768, 75.67485874284982, 76.4591615744152, 77.2340766403358, 77.99977357047625, 78.75641540280758, 79.50415894094186, 80.24315508657874, 80.97354914900399, 81.69548113356477, 82.40908601085704, 83.1144939681949, 83.81183064477783, 84.50121735184412, 85.18277127897387, 85.85660568760397, 86.52283009271858, 87.18155043359494, 87.83286923440681, 88.47688575541903, 89.11369613544498, 89.74339352617986, 90.36606821897645, 90.98180776457849, 91.59069708629079, 92.19281858702128, 92.78825225060116, 93.37707573775512, 93.95936447706512, 94.53519175124615, 95.1046287790277, 95.66774479291414, 96.22460711307511, 96.77528121760218, 97.31983080934799, 97.8583178795497, 98.39080276842596, 98.91734422292228, 99.43799945176717, 99.95282417799223, 100.46187268905707, 100.96519788471292, 101.46285132272777, 101.95488326258884, 102.44134270729236, 102.92227744332031, 103.39773407890047, 103.86775808063894, 104.33239380860856, 104.79168454997227, 105.24567255121528, 105.69439904905474, 106.13790430009409, 106.57622760928182, 107.0094073572335, 107.43748102647196, 107.86048522663599, 108.27845571870729, 108.69142743830163, 109.09943451806556, 109.50251030922331, 109.90068740230791, 110.29399764711735, 110.68247217192805, 111.06614140199838, 111.44503507739473, 111.81918227016861, 112.18861140091218, 112.5533502547194, 112.91342599657833, 113.26886518621714, 113.61969379242761, 113.96593720688655, 114.30762025749655, 114.64476722126507, 114.97740183674034, 115.30554731602108, 115.62922635635778, 115.94846115136129, 116.26327340183296, 116.57368432623157, 116.8797146707905, 117.18138471929882, 117.4787143025581, 117.77172280752724, 118.06042918616646, 118.34485196399153, 118.62500924834912, 118.90091873642216, 119.1725977229751, 119.44006310784876, 119.70333140321218, 119.96241874058113, 120.21734087760994, 120.46811320466507, 120.7147507511871, 120.95726819184878, 121.19567985251484, 121.42999971601029, 121.66024142770377, 121.88641830091136, 122.10854332212536, 122.3266291560761, 122.54068815062868, 122.75073234152174, 122.95677345695226, 123.15882292201081, 123.35689186297101, 123.55099111143888, 123.74113120836442, 123.92732240791996, 124.10957468124874, 124.28789772008733, 124.46230094026521, 124.63279348508439, 124.79938422858255, 124.96208177868199, 125.12089448022827, 125.27583041791995, 125.42689741913338, 125.57410305664328, 125.71745465124292, 125.85695927426569, 125.99262375001031, 126.1244546580709, 126.25245833557534, 126.37664087933224, 126.49700814789009, 126.61356576350812, 126.7263191140426, 126.83527335474827, 126.94043340999822, 127.04180397492208, 127.13938951696399, 127.23319427736348, 127.32322227255717, 127.40947729550581, 127.49196291694507, 127.57068248656269, 127.64563913410218, 127.7168357703939, 127.78427508831537, 127.84795956367935, 127.90789145605359, 127.96407280950926, 128.0165054533017, 128.0651910024827, 128.1101308584438, 128.15132620939386, 128.1887780307677, 128.2224870855698, 128.25245392464973, 128.27867888691262, 128.30116209946286, 128.31990347768215, 128.33490272524125, 128.34615933404663, 128.35367258411992, 128.35744154341296, 128.35746506755513, 128.3537417995358, 128.34627016931947, 128.3350483933941, 128.3200744742529, 128.30134619980805, 128.27886114273664, 128.25261665975853, 128.22260989084518, 128.18883775835843, 128.15129696611987, 128.10998399840875, 128.06489511888907, 128.01602636946316, 127.96337356905299, 127.9069323123066, 127.84669796822956, 127.7826656787405, 127.71483035714847, 127.64318668655262, 127.5677291181618, 127.48845186953243, 127.40534892272491, 127.3184140223753, 127.2276406736819, 127.13302214030439, 127.03455144217456, 126.93222135321619, 126.82602439897249, 126.71595285413925, 126.60199874000155, 126.48415382177198, 126.36240960582792, 126.23675733684588, 126.10718799482997, 125.97369229203247, 125.83626066976406, 125.69488329508951, 125.54955005740803, 125.40025056491334, 125.2469741409315, 125.089709820133, 124.9284463446152, 124.76317215985159, 124.59387541050542, 124.42054393610144, 124.24316526655424, 124.06172661754687, 123.87621488575635, 123.68661664392152, 123.49291813574803, 123.29510527064527, 123.0931636182908, 122.88707840301588, 122.67683449800685, 122.4624164193164, 122.2438083196783, 122.02099398211944, 121.79395681336192, 121.5626798370082, 121.3271456865022, 121.08733659785835, 120.84323440215047, 120.59482051775188, 120.34207594231843, 120.08498124450414, 119.82351655540116, 119.55766155969258, 119.28739548650799, 119.01269709997099, 118.73354468942665, 118.44991605933623, 118.16178851882735, 117.86913887088572, 117.57194340117383, 117.27017786646303, 116.96381748266211, 116.65283691242753, 116.33721025233696, 116.01691101960905, 115.69191213835042, 115.3621859253097, 115.02770407511822, 114.68843764499526, 114.34435703889476, 113.9954319910694, 113.64163154902631, 113.28292405584772, 112.91927713184755, 112.55065765553516, 112.1770317438534, 111.79836473165844, 111.414621150406, 111.02576470600692, 110.63175825581222, 110.23256378468697, 109.82814238012857, 109.41845420638263, 109.00345847750766, 108.58311342933644, 108.15737629027818, 107.72620325090341, 107.28954943224879, 106.84736885277628, 106.39961439391567, 105.94623776411656, 105.48718946132966, 105.02241873383346, 104.55187353931542, 104.07550050211272, 103.59324486850906, 103.10505045997924, 102.6108596242643, 102.11061318415278, 101.60425038383497, 101.09170883268689, 100.57292444633235, 100.0478313848182, 99.51636198772823, 98.97844670604654, 98.43401403056832, 97.88299041664044, 97.32530020499743, 96.76086553844085, 96.18960627409, 95.61143989091083, 95.02628139220639, 94.434043202726, 93.83463506002317, 93.22796389966089, 92.61393373382906, 91.99244552290227, 91.3633970394248, 90.72668272396484, 90.08219353223043, 89.42981677278459, 88.76943593463666, 88.10093050391964, 87.42417576878847, 86.73904261159211, 86.04539728727946, 85.3431011868967, 84.63201058491944, 83.91197636903412, 83.18284375084023, 82.44445195578376, 81.69663389045067, 80.93921578514576, 80.17201680945206, 79.39484865820509, 78.60751510502165, 77.80981152018774, 77.00152434932835, 76.18243054884692, 75.35229697362405, 74.51087971189452, 73.65792336156466, 72.79316024147585, 71.9163095302447, 71.02707632429589, 70.12515060552367, 69.21020610764141, 68.28189906866601, 67.33986685509053, 66.38372644106556, 65.41307272326608, 64.42747664898046, 63.42648313120956, 62.409608720071525, 61.3763389943982, 60.32612563086338, 59.25838310002171, 58.17248492890294, 57.06775945783255, 55.94348500433838, 54.7988843285558, 53.633118271418745, 52.44527840771736, 51.2343785189356, 49.99934464308491, 48.73900339700274, 47.45206818587959, 46.13712280821375, 44.79260182211797, 43.41676684666361, 42.00767770879709, 40.563156980993874, 39.08074593956868, 37.557649234418406, 35.99066448038268, 34.37609136703637, 32.70961241749445, 30.986133655485215, 29.199567177053872, 27.48083170502767, 25.85292535706356, 24.312438318624928, 22.85480819251611, 21.475631766725073, 20.170724862222883, 18.936116602435252, 17.768040312690456, 16.662924381285237, 15.617383308179916, 14.628208992339076, 13.692362287111425, 12.806964844069485, 11.969291258402711, 11.176761523097237, 10.42693379425631, 9.717497466650098, 9.046266554576636, 8.411173370709218, 7.810262492337805, 7.2416850014807, 6.703692981809485, 6.19463425101911, 5.712947302241188, 5.257156420913913, 4.825866935314831, 4.417760547894933, 4.031590681080849, 3.6661777542834884, 3.3204042891153493, 2.99320971571915, 2.6835847247267552, 2.3905649748233966, 2.1132239209218047, 1.8506671285187009, 1.6020152025667795, 1.3664127859902395, 1.1429732940344761, 0.9307608341109346, 0.7288520422550945, 0.5362365529899517, 0.3518743597742224, 0.17497961250943603, 0.006282364197192148, -0.1305609688060401, -0.2512427543069641, -0.3584419811941975, -0.464493086264552, -0.5591070592479559, -0.6431643096961956, -0.7188223472711667, -0.7872191839688629, -0.8496276590575277, -0.9067029534275344, -0.9590916353853911, -1.0073370653449272, -1.0519141372283047, -1.093274035021728, -1.1319232076114585, -1.1686475137017902, -1.2054294923857631, -1.2287441652357198, -1.2468119834709521, -1.2609204075791023, -1.271742673161476, -1.2794634912102274, -1.2861318977913336, -1.2922536150683344, -1.29768294699732, -1.3017498422536666, -1.3038933671820325, -1.3035011551735873, -1.29960525895488, -1.2900470095902186, -1.277093758510869, -1.260352396303243, -1.2408550497389101, -1.2184522391566575, -1.1929675283424321, -1.164207803874331, -1.131940497069637, -1.0958821679589823, -1.0556874495037596, -1.010934805432966, -0.9611068649464887, -0.905562701506335, -0.8434985895174858, -0.7738938013315078, -0.6954445949829547, -0.6065287551118905, -0.5054159431798881, -0.39137993745872296, -0.26655369936774714, -0.13428564898702386, 0.0041950128724343345, 0.14906857079124508, 0.30114043526270207, 0.4610218834626373, 0.6293359736263228, 0.8066923779444856, 0.993681238371229, 1.1908836716669071, 1.3988798050506603, 1.6182552510311998, 1.8496064689346763, 2.093545368465589, 2.3507033849342887, 2.621735166769491, 2.907321961860785, 3.2081747597457544, 3.525037232292943, 3.8586885098027577, 4.209945826763269, 4.579667071062524, 4.968753268538235, 5.378151033517651, 5.808855013241684, 6.261910351308096, 6.738415192212852, 7.239523246299426, 7.766446431346132, 8.320457604880884, 8.902893398953186, 9.515157167635257, 10.158722055434644, 10.835134194246198, 11.546016035031272, 12.293069819607606, 13.078081197138339, 13.90292298958562, 14.769559109192908, 15.680048630859673, 16.636550021376998, 17.641325527331954, 18.69674572138543, 19.805294207805414, 20.969572485022365, 22.192304963984153, 23.476344138360872, 24.82467590248896, 26.24042501118789, 27.72686067526136, 29.287402285505053, 30.918873940486353, 32.502306791541706, 34.041608406428956, 35.54013403777382, 37.000792527827784, 38.426127172547254, 39.81837846564969, 41.17953348199458, 42.51136524354043, 43.815464461276314, 45.09326539591601, 46.346067126010716, 47.57505118970276, 48.781296333835975, 49.96579093408854, 51.12944352380407, 52.27309177472452, 53.39751020121266, 54.503416804697, 55.591478832665516, 56.66231779345138, 57.71651384203908, 58.75460963149848, 59.777113708195245, 60.784503515693146, 61.77722806156702, 62.755710292631676, 63.72034921696809, 64.67152180526246, 65.6095846991231, 66.53487575000972, 67.44771540904438, 68.34840798515022, 69.23724278658938, 70.11449515896132, 70.98042743101699, 71.83528977819496, 72.67932101254095, 73.51274930661071, 74.33579285803839, 75.1486605006652, 75.95155226743599, 76.74465990968035, 77.52816737687742, 78.3022512605545, 79.06708120557185, 79.82282029170464, 80.56962538812662, 81.30764748313338, 82.0370319912059, 82.7579190393085, 83.4704437341273, 84.17473641179132, 84.8709228714744, 85.55912459414178, 86.23945894759171, 86.91203937883587, 87.57697559477126, 88.23437373200892, 88.88433651665436, 89.52696341475999, 90.1623507741151, 90.79059195798035, 91.41177747132222, 92.02599508006149, 92.63332992380543, 93.2338646224979, 93.8276793773864, 94.41485206667465, 94.99545833620199, 95.56957168546424, 96.13726354926608, 96.69860337527705, 97.25365869773964, 97.80249520756254, 98.34517681901454, 98.88176573321974, 99.41232249864022, 99.93690606872019, 100.4555738568544, 100.96838178882983, 101.47538435288358, 101.97663464750734, 102.47218442712212, 102.9620841457387, 103.44638299871023, 103.92512896267901, 104.39836883381273, 104.86614826441648, 105.32851179800734, 105.78550290292573, 106.23716400456121, 106.68353651625843, 107.12466086897041, 107.56057653971929, 107.99132207892326, 108.41693513664285, 108.83745248779827, 109.25291005640752, 109.6633429388885, 110.06878542647014, 110.46927102675284, 110.86483248445647, 111.25550180139243, 111.64131025569458, 112.02228842034206, 112.39846618100343, 112.76987275323309, 113.13653669904738, 113.49848594290624, 113.85574778712511, 114.20834892674294, 114.55631546386599, 114.8996729215111, 115.23844625696732, 115.57265987469675, 115.90233763879132, 116.22750288500451, 116.54817843237392, 116.86438659445017, 117.17614919014922, 117.48348755423955, 117.78642254748083, 118.08497456642493, 118.37916355289369, 118.66900900314342, 118.95452997672946, 119.23574510508001, 119.51267259979086, 119.7853302606496, 120.05373548340067, 120.31790526725818, 120.57785622217675, 120.83360457588729, 121.08516618070769, 121.3325565201328, 121.57579071521475, 121.81488353073676, 122.04984938119024, 122.28070233655937, 122.50745612791995, 122.73012415285879, 122.94871948071881, 123.16325485767436, 123.3737427116439, 123.58019515704245, 123.78262399938052, 123.98104073971297, 124.17545657894237, 124.36588242198067, 124.55232888177426, 124.73480628319439, 124.91332466679776, 125.08789379246137, 125.25852314289278, 125.42522192702147, 125.58799908327263, 125.74686328272703, 125.90182293216945, 126.05288617702897, 126.20006090421262, 126.34335474483589, 126.48277507685202, 126.61832902758206, 126.75002347614866, 126.87786505581414, 127.00186015622697, 127.12201492557627, 127.23833527265778, 127.35082686885235, 127.45949515001821, 127.56434531829957, 127.66538234385193, 127.76261096648628, 127.85603569723274, 127.94566081982646, 128.03149039211425, 128.11352824738626, 128.19177799563113, 128.26624302471703, 128.3369265014992, 128.40383137285465, 128.46696036664508, 128.5263159926087, 128.58190054318135, 128.63371609424834, 128.68176450582638, 128.72604742267757, 128.7665662748546, 128.80332227817854, 128.836316434649, 128.8655495327874, 128.89102214791325, 128.91273464235394, 128.93068716558813, 128.94487965432265, 128.95531183250347, 128.96198321126013, 128.96489308878432, 128.9640405501416, 128.959424467017, 128.9510434973943, 128.93889608516778, 128.922980459687, 128.90329463523477, 128.87983641043607, 128.85260336759998, 128.82159287199173, 128.7868020710361, 128.74822789345066, 128.7058670483084, 128.65971602402922, 128.60977108729944, 128.5560282819181, 128.4984834275701, 128.4371321185241, 128.3719697222551, 128.30299137799022, 128.23019199517665, 128.15356625187042, 128.0731085930449, 127.98881322881792, 127.90067413259546, 127.80868503913105, 127.71283944249909, 127.61313059398036, 127.50955149985836, 127.40209491912421, 127.2907533610885, 127.1755190828983, 127.0563840869568, 126.93334011824393, 126.80637866153533, 126.67549093851758, 126.54066790479683, 126.40190024679899, 126.25917837855778, 126.11249243838895, 125.96183228544695, 125.80718749616103, 125.64854736054826, 125.48590087839938, 125.31923675533413, 125.14854339872322, 124.97380891347201, 124.79502109766278, 124.61216743805113, 124.42523510541226, 124.23421094973297, 124.03908149524428, 123.8398329352896, 123.63645112702474, 123.42892158594215, 123.21722948021623, 123.00135962486236, 122.78129647570414, 122.55702412314261, 122.32852628572077, 122.09578630347652, 121.85878713107661, 121.61751133072485, 121.37194106483564, 121.1220580884657, 120.86784374149454, 120.60927894054521, 120.34634417063607, 120.07901947655311, 119.80728445393349, 119.53111824004839, 119.25049950427511, 118.96540643824578, 118.6758167456606, 118.3817076317528, 118.08305579239149, 117.77983740280828, 117.4720281059328, 117.15960300032127, 116.84253662766186, 116.52080295983926, 116.19437538554072, 115.86322669638426, 115.52732907254868, 115.18665406788502, 114.84117259448657, 114.4908549066945, 114.13567058451427, 113.7755885164171, 113.41057688149924, 113.04060313097003, 112.66563396893861, 112.28563533246736, 111.90057237085783, 111.51040942413417, 111.11511000068576, 110.71463675402953, 110.30895145864947, 109.89801498486952, 109.48178727271139, 109.06022730468874, 108.63329307748351, 108.20094157244911, 107.76312872488033, 107.31980939198702, 106.87093731950421, 106.41646510686752, 105.95634417087757, 105.4905247077732, 105.01895565362689, 104.5415846429715, 104.05835796556012, 103.56922052115543, 103.0741157722371, 102.57298569450883, 102.06577072507804, 101.55240970817262, 101.03283983824957, 100.50699660034012, 99.97481370746425, 99.43622303493638, 98.8911545513697, 98.33953624617318, 97.78129405331923, 97.21635177114348, 96.64463097791905, 96.06605094292851, 95.48052853273383, 94.88797811232118, 94.28831144077107, 93.68143756107544, 93.06726268369192, 92.44569006339053, 91.8166198689105, 91.17994904490251, 90.53557116558571, 89.88337627949771, 89.22325074465978, 88.55507705341645, 87.8787336461405, 87.19409471291684, 86.501029982234, 85.7994044956173, 85.08907836703101, 84.36990652575992, 83.64173844134777, 82.90441782902184, 82.15778233386719, 81.40166319182626, 80.63588486538943, 79.86026465160329, 79.0746122597543, 78.27872935577996, 77.47240907011181, 76.65543546525949, 75.82758295899289, 74.98861569846218, 74.13828688000204, 73.27633800868362, 72.40249809088904, 71.516482752272, 70.61799327240908, 69.70671552621414, 68.78231882074881, 67.84445461437534, 66.89275510321329, 65.92683165752014, 64.94627308783944, 63.950643717457595, 62.93948123376331, 61.9122942863669, 60.86855979412298, 59.8077199162762, 58.72917863451533, 57.63229788238709, 56.5163931457903, 55.38072844248628, 54.224510568866044, 53.0468824774628, 51.84691561736807, 50.62360102973041, 49.37583893907315, 48.10242651437003, 46.80204338623279, 45.473234390515735, 44.114388853121355, 42.72371551979558, 41.29921194458895, 39.83862674588127, 38.33941256498153, 36.798666734145144, 35.2130554420999, 33.57871535205003, 31.891123801620743, 30.144924236959223, 28.368118355243876, 26.680653444648573, 25.08397634910463, 23.573584977808107, 22.144895458096027, 20.793539831253028, 19.51537243542428, 18.306461079849477, 17.163077548774197, 16.081688256453386, 15.05894513963837, 14.091676823824134, 13.176880085830232, 12.311711628762819, 11.49348017775117, 10.719638900354601, 9.987778151252787, 9.295618537608242, 8.641004298034622, 8.021896985850262, 7.4363694442116826, 6.882600057568699, 6.358867260656877, 5.863544281529616, 5.39509408966353, 4.952064513157396, 4.533083479992098, 4.136854667701832, 3.7621518851733065, 3.4078168827601663, 3.0727493860547916, 2.755902174744247, 2.456284653629466, 2.172946711095465, 1.9049740423425248, 1.6514796318834941, 1.4115934755323598, 1.1844501116334358, 0.9691733118775304, 0.7648575844564264, 0.5705486538318078, 0.3852377110065782, 0.20794245907283296, 0.038191657664908306, -0.12210885171485368, -0.2483243181682151, -0.35969260319047597, -0.45878509020004876, -0.5564558884080042, -0.6436556071275932, -0.7213770401732266, -0.7911920496590238, -0.854311030981316, -0.9116581286671813, -0.9639595528764433, -1.0118030103394904, -1.0556802227124462, -1.0955666603522585, -1.1328336020304952, -1.1674764419164763, -1.2003668015872084, -1.2268827243101128, -1.246124436007253, -1.260742212173657, -1.2718367394200298, -1.2800031955598046, -1.285609737540571, -1.2900541958470075, -1.2942151901161045, -1.2973194647784867, -1.2987602499457271, -1.2979719062613881, -1.294252558652702, -1.2869355590522278, -1.2725424524454512, -1.2557333953266112, -1.2352824368075856, -1.2122127750121436, -1.1862858411396284, -1.1572766738364444, -1.1249583670464445, -1.0890706998185409, -1.0493047452332247, -1.0052894126467196, -0.9565753210615368, -0.902613246116794, -0.8427241610352806, -0.7760571624890367, -0.7015320180132679, -0.6177718059316301, -0.5230801246799793, -0.4157251944131363, -0.2952514246328758, -0.16425576215291346, -0.02608964821011788, 0.11823377079843614, 0.2690861787272829, 0.4271463431341494, 0.5931031002115178, 0.7676088030599713, 0.9512837540334916, 1.1447278195176678, 1.3485308935727627, 1.5632622669002394, 1.7895376614654692, 2.0279690834999875, 2.279164586720336, 2.543765382190451, 2.8224313081014407, 3.115851454578651, 3.424744774048648, 3.7498631295409184, 4.091994086543748, 4.451963570086913, 4.830638420331094, 5.228928880270253, 5.647791047340668, 6.088229317454648, 6.551298847157684, 7.038108056215304, 7.549821189740025, 8.087660956433709, 8.652911256360648, 9.24692001031449, 9.87110210013838, 10.526942428486743, 11.215999104820717, 11.93990676365522, 12.700380019931854, 13.499217065654104, 14.338303411280164, 15.219615774770023, 16.14522611985087, 17.11730584516541, 18.13813012468073, 19.210082398550558, 20.335659013611423, 21.5174740102526, 22.758264052224195, 24.060893494246244, 25.428359580413215, 26.86379776556018, 28.370487149747873, 29.951856015157574, 31.590123921604803, 33.180051725938036, 34.725560167144906, 36.23001780977009, 37.69634652614546, 39.127102130155116, 40.52453700531874, 41.89064944042434, 43.227222988196544, 44.535858223474854, 45.817998633290486, 47.0749519210924, 48.307907687409276, 49.51795221827381, 50.706080943659586, 51.87320900280229, 53.020180259196046, 54.14777503667669, 55.25671679330354, 56.34767790743013, 57.42128471732683, 58.478121929725354, 59.518736492050024, 60.543641006638964, 61.553316752025886, 62.54821636564224, 63.52876623358205, 64.49536862593462, 65.44840361031339, 66.38823077135132, 67.31519075989068, 68.22960669222088, 69.1317854168888, 70.02201866422133, 70.9005840916836, 71.76774623648652, 72.62375738539764, 73.46885837046555, 74.30327929829633, 75.12724021960409, 75.94095174496148, 76.74461561199006, 77.53842520863398, 78.32256605664146, 79.0972162589251, 79.86254691407684, 80.61872250096462, 81.36590123603291, 82.10423540566083, 82.83387167569255, 83.55495138004618, 84.26761079011925, 84.97198136654441, 85.66818999470162, 86.35635920526158, 87.03660738091678, 87.70904895035382, 88.37379457042395, 89.03095129738702, 89.68062274802455, 90.32290925135354, 90.95790799160666, 91.58571314309236, 92.2064159974952, 92.82010508413288, 93.42686628364464, 94.02678293554712, 94.61993594006081, 95.20640385457902, 95.7862629851223, 96.35958747309476, 96.92644937763795, 97.48691875385177, 98.04106372713743, 98.58895056389386, 99.13064373878744, 99.66620599879523, 100.19569842421126, 100.71918048678937, 101.23671010518851, 101.74834369786954, 102.25413623358787, 102.7541412796144, 103.24841104780735, 103.73699643865345, 104.21994708338487, 104.69731138427517, 105.16913655320921, 105.63546864861608, 106.09635261085013, 106.55183229609797, 107.00195050888591, 107.44674903325776, 107.88626866268875, 108.32054922879658, 108.74962962890856, 109.17354785253926, 109.59234100683085, 110.0060453410039, 110.41469626986617, 110.81832839642176, 111.21697553362213, 111.61067072529757, 111.99944626630686, 112.38333372193857, 112.76236394659821, 113.13656710181122, 113.50597267357236, 113.87060948906925, 114.23050573280673, 114.58568896215664, 114.93618612235807, 115.28202356098997, 115.62322704193828, 115.95982175887781, 116.2918323482883, 116.61928290202385, 116.94219697945287, 117.26059761918515, 117.57450735040314, 117.88394820381147, 118.18894172222018, 118.48950897077488, 118.78567054684734, 119.07744658959933, 119.36485678923164, 119.64792039592906, 119.92665622851362, 120.20108268281498, 120.47121773976961, 120.73707897325686, 120.998683557682, 121.25604827531455, 121.50918952339013, 121.75812332098442, 122.00286531566572, 122.24343078993462, 122.47983466745748, 122.71209151909925, 122.94021556876363, 123.16422069904633, 123.3841204567057, 123.59992805795909, 123.8116563936078, 124.01931803399711, 124.22292523381624, 124.42248993674254, 124.61802377993459, 124.8095380983787, 124.99704392909288, 125.18055201519238, 125.3600728098201, 125.53561647994665, 125.70719291004195, 125.8748117056233, 126.03848219668244, 126.19821344099424, 126.3540142273109, 126.50589307844378, 126.65385825423597, 126.79791775442823, 126.93807932142005, 127.07435044292916, 127.20673835455152, 127.3352500422233, 127.45989224458796, 127.5806714552692, 127.6975939250533, 127.81066566398069, 127.91989244335039, 128.0252797976372, 128.126833026325, 128.22455719565568, 128.3184571402971, 128.40853746492974, 128.49480254575442, 128.57725653192162, 128.655903346884, 128.73074668967308, 128.8017900361005, 128.869036639886, 128.93248953371148, 128.99215153020376, 129.04802522284456, 129.10011298681115, 129.1484169797456, 129.1929391424549, 129.2336811995423, 129.27064465996995, 129.30383081755295, 129.33324075138665, 129.35887532620558, 129.38073519267598, 129.39882078762108, 129.41313233417983, 129.42366984189883, 129.43043310675807, 129.43342171113, 129.43263502367225, 129.42807219915363, 129.41973217821345, 129.40761368705407, 129.3917152370665, 129.37203512438825, 129.34857142939384, 129.32132201611728, 129.29028453160566, 129.25545640520428, 129.21683484777188, 129.17441685082616, 129.12819918561817, 129.07817840213542, 129.02435082803316, 128.96671256749207, 128.90525950000236, 128.8399872790733, 128.7708913308664, 128.69796685275242, 128.62120881178967, 128.5406119431238, 128.45617074830682, 128.36787949353433, 128.27573220779993, 128.1797226809647, 128.07984446174052, 127.97609085558624, 127.86845492251327, 127.75692947480088, 127.6415070746179, 127.5221800315493, 127.3989404000259, 127.27177997665436, 127.14069029744603, 127.0056626349417, 126.86668799522984, 126.72375711485618, 126.5768604576216, 126.4259882112656, 126.27113028403238, 126.1122763011167, 125.94941560098606, 125.78253723157626, 125.61162994635616, 125.43668220025896, 125.25768214547556, 125.07461762710628, 124.88747617866687, 124.69624501744441, 124.5009110396988, 124.3014608157051, 124.09788058463167, 123.8901562492494, 123.67827337046657, 123.46221716168351, 123.24197248296178, 123.01752383500164, 122.7888553529213, 122.55595079983178, 122.31879356020015, 122.0773666329943, 121.83165262460126, 121.58163374151205, 121.32729178276378, 121.06860813213154, 120.80556375006029, 120.53813916532786, 120.2663144664289, 119.99006929266992, 119.7093828249645, 119.42423377631704, 119.13460038198404, 118.84046038929988, 118.54179104715438, 118.23856909510896, 117.93077075213624, 117.61837170496929, 117.30134709604398, 116.97967151101834, 116.65331896585181, 116.3222628934258, 115.98647612968696, 115.64593089929282, 115.30059880073878, 114.95045079094446, 114.59545716927573, 114.23558756097816, 113.87081089999594, 113.50109541114878, 113.12640859163838, 112.74671719185386, 112.36198719544437, 111.97218379862494, 111.57727138868007, 111.1772135216273, 110.77197289900072, 110.36151134371286, 109.9457897749498, 109.52476818205263, 109.09840559733519, 108.66666006778524, 108.22948862559285, 107.78684725744625, 107.33869087253241, 106.88497326917468, 106.42564710003637, 105.96066383581442, 105.48997372734249, 105.01352576601734, 104.53126764245704, 104.0431457032936, 103.54910490599568, 103.04908877161043, 102.54303933530592, 102.03089709458703, 101.5126009550495, 100.98808817352683, 100.45729429847422, 99.92015310742367, 99.37659654133023, 98.8265546356185, 98.26995544772241, 97.70672498089644, 97.13678710405979, 96.56006346741587, 95.97647341356993, 95.38593388384521, 94.78835931947445, 94.18366155731697, 93.57174971972256, 92.95253009813253, 92.32590602997278, 91.69177776835626, 91.05004234406945, 90.40059341927257, 89.7433211322903, 89.07811193281535, 88.40484840678288, 87.72340909010639, 87.03366827038724, 86.3354957756257, 85.62875674886614, 84.91331140760224, 84.18901478665096, 83.45571646307016, 82.71326026154772, 81.9614839385217, 81.20021884310488, 80.42928955267479, 79.64851348075173, 78.85770045451693, 78.05665225901686, 77.24516214475048, 76.4230142949399, 75.58998324833108, 74.74583327285221, 73.89031768486154, 73.02317810803078, 72.14414366511821, 71.25293009497074, 70.34923878602936, 69.43275571637571, 68.50315028890927, 67.56007404855032, 66.60315926636744, 65.63201737317323, 64.64623722233927, 63.645383158257516, 62.62899286290168, 61.596574948173355, 60.547606255960446, 59.48152882086073, 58.39774644201888, 57.29562080010526, 56.17446704261968, 55.03354874477196, 53.87207213329903, 52.689179435571276, 51.483941184664296, 50.255347270630025, 49.002296476127135, 47.72358416690486, 46.41788771884322, 45.08374914550563, 43.71955423221973, 42.323507268209845, 40.89360017305896, 39.42757440134207, 37.92287342374156, 36.376582736727094, 34.78535310547809, 33.14530086499421, 31.451876200839983, 29.699685719006503, 27.93350953237029, 26.257440220467206, 24.672076903754427, 23.172857116955058, 21.755180699886463, 20.4146682019933, 19.147164875704732, 17.94873144216702, 16.815634329377538, 15.744336101643773, 14.731486157078786, 13.773911723863007, 12.868609175290596, 12.012735675725265, 11.203601163904505, 10.438660675004176, 9.715506999334067, 9.031863672338382, 8.385578287564625, 7.774616121880573, 7.1970540594214985, 6.651074797925303, 6.134961317500222, 5.647091587485647, 5.185933481815453, 4.750039866050105, 4.338043810455403, 3.9486538723282862, 3.5806493770030072, 3.232875610592309, 2.9042395745273994, 2.593702611313728, 2.300280400171597, 2.0230185292995655, 1.7610130979470362, 1.5133827660604318, 1.279263220887699, 1.0577951174405993, 0.8481091257778404, 0.6493081097586731, 0.4604492544308014, 0.28054346534623664, 0.10865560149767733, -0.05554367855976665, -0.20976699788100164, -0.33003532489267373, -0.43603195560733116, -0.5405740694640424, -0.6329391836157767, -0.7143342603014964, -0.7867468431702154, -0.8516741369202607, -0.9102266694609858, -0.9632537906078117, -1.0114243610225178, -1.0552794040003783, -1.0952700300127165, -1.1317907987070095, -1.1652227641368065, -1.1960274507695547, -1.225086228743135, -1.2460684937838933, -1.261254083179584, -1.2724450334707684, -1.2805492118553012, -1.2861105996275441, -1.2903180754851642, -1.2929573352168773, -1.2946371615863217, -1.2947146959417897, -1.2926392692977136, -1.2877823475369465, -1.2792043140180227, -1.2649618304935797, -1.2460792581016928, -1.2231293125899505, -1.1980665629637717, -1.170406644361521, -1.1399127769154034, -1.1065372047259467, -1.0697811026169395, -1.0288889495812894, -0.983901933259255, -0.9343886878936746, -0.8798374233177618, -0.8196215273423286, -0.752963385613245, -0.6788838525388393, -0.596136615445379, -0.5031481508504668, -0.39808911827086657, -0.27956803500496963, -0.14858502239101212, -0.008836598620792424, 0.1372730828727017, 0.2895961492415136, 0.4487469716442359, 0.6154465040043996, 0.7903861001542639, 0.9742164054282191, 1.1675583691528355, 1.3710154862979482, 1.585183853447972, 1.810642590174032, 2.0480158889210944, 2.297926979772825, 2.560998203846337, 2.837885454930847, 3.12926502377018, 3.4358435980131836, 3.7583590205821884, 4.097583281311874, 4.454325265232385, 4.829433373577527, 5.2237980519601095, 5.6383542602119805, 6.074083915121759, 6.532018334368814, 7.013240706245677, 7.518888606444001, 8.050156579873008, 8.60829880299108, 9.194631839000522, 9.810537496870298, 10.45746580283044, 11.136938091812457, 11.85055022501103, 12.599975938471406, 13.38697032715022, 14.213373467600256, 15.081114181936282, 15.992213944829622, 16.948790934621737, 17.953064228456135, 19.007358140625247, 20.114106702247568, 21.2758582789261, 22.495280321916887, 23.775164246885474, 25.118430431784958, 26.5281333253509, 28.007466653151038, 29.55976870929935, 31.188527717489844, 32.81352877539781, 34.391451257721734, 35.926008930581695, 37.420405915121655, 38.87743167006899, 40.299534118718974, 41.68887680584985, 43.04738417706843, 44.3767778838224, 45.67860621084914, 46.95426816499531, 48.205033371511036, 49.43205864276937, 50.63640188013733, 51.819033819362666, 52.98084801775012, 54.12266939688001, 55.245261590211236, 56.34933329534095, 57.435543792195425, 58.50450775827256, 59.5567994882464, 60.59295660630836, 61.613483344448525, 62.61885344764845, 63.609512757034125, 64.58588151393805, 65.54835642117273, 66.49731249233791, 67.43310471543472, 68.35606955327799, 69.26652630002657, 70.16477831049309, 71.05111411664555, 71.92580844381384, 72.78912313749416, 73.64130801026788, 74.48260161716735, 75.31323196680813, 76.13341717473354, 76.9433660646607, 77.74327872266448, 78.53334700876499, 79.31375502989098, 80.08467957775609, 80.846290534808, 81.59875125107597, 82.34221889445028, 83.07684477666882, 83.80277465705765, 84.52014902586984, 85.22910336888918, 85.92976841480429, 86.62227036671678, 87.30673111902195, 87.98326846078552, 88.65199626663994, 89.31302467613092, 89.96646026236641, 90.61240619074204, 91.25096236845647, 91.8822255854649, 92.50628964746872, 93.12324550148844, 93.73318135452423, 94.33618278576668, 94.93233285278414, 95.52171219208157, 96.1043991143928, 96.68046969504276, 97.24999785968974, 97.81305546573519, 98.36971237966783, 98.92003655058843, 99.46409408014566, 100.00194928909508, 100.53366478068045, 101.05930150102118, 101.57891879667827, 102.09257446955817, 102.60032482930568, 103.1022247433235, 103.59832768455004, 104.08868577711712, 104.57334984000195, 105.05236942877957, 105.52579287557644, 105.99366732731913, 106.45603878236555, 106.91295212560208, 107.3644511620837, 107.81057864929086, 108.25137632807107, 108.68688495233037, 109.11714431753495, 109.54219328808087, 109.96206982358594, 110.37681100415408, 110.78645305466094, 111.19103136810622, 111.59058052807528, 111.98513433035048, 112.37472580371139, 112.75938722995971, 113.13915016320267, 113.51404544842866, 113.88410323940506, 114.24935301592771, 114.60982360044987, 114.96554317411702, 115.31653929223165, 115.66283889917358, 116.00446834279552, 116.34145338831833, 116.67381923174415, 117.00159051280716, 117.32479132748104, 117.64344524006034, 117.95757529483178, 118.26720402735197, 118.57235347534679, 118.8730451892465, 119.1693002423702, 119.46113924077305, 119.74858233276873, 120.03164921813858, 120.31035915703968, 120.58473097862178, 120.85478308936382, 121.12053348114043, 121.38199973902697, 121.63919904885293, 121.89214820451176, 122.14086361503593, 122.38536131144474, 122.62565695337243, 122.8617658354842, 123.09370289368655, 123.32148271113894, 123.5451195240732, 123.76462722742616, 123.98001938029223, 124.19130921120048, 124.39850962322254, 124.60163319891562, 124.80069220510593, 124.99569859751738, 125.18666402524966, 125.3735998351102, 125.5565170758041, 125.73542650198604, 125.91033857817787, 126.08126348255564, 126.24821111060932, 126.41119107867888, 126.5702127273698, 126.72528512485071, 126.87641707003677, 127.02361709566085, 127.16689347123594, 127.30625420591088, 127.44170705122183, 127.57325950374226, 127.70091880763347, 127.82469195709731, 127.94458569873449, 128.0606065338087, 128.17276072041994, 128.28105427558788, 128.38549297724768, 128.48608236615894, 128.58282774773048, 128.67573419376149, 128.76480654410108, 128.85004940822694, 128.93146716674508, 129.00906397281125, 129.08284375347523, 129.15281021094975, 129.21896682380373, 129.2813168480823, 129.3398633183529, 129.39460904867988, 129.44555663352673, 129.4927084485881, 129.53606665155118, 129.57563318278775, 129.61140976597682, 129.6433979086588, 129.6715989027215, 129.6960138248183, 129.71664353671864, 129.73348868559145, 129.74654970422145, 129.75582681115864, 129.7613200108012, 129.76302909341143, 129.76095363506514, 129.75509299753452, 129.7454463281041, 129.73201255931983, 129.7147904086712, 129.69377837820562, 129.6689747540759, 129.64037760601914, 129.6079847867678, 129.57179393139143, 129.53180245656986, 129.48800755979602, 129.44040621850857, 129.3889951891535, 129.33377100617383, 129.2747299809269, 129.21186820052824, 129.14518152662117, 129.0746655940711, 129.0003158095839, 128.92212735024663, 128.8400951619901, 128.75421395797167, 128.66447821687717, 128.5708821811407, 128.47341985508038, 128.3720850029495, 128.26687114690054, 128.1577715648608, 128.04477928831835, 127.92788710001557, 127.8070875315492, 127.6823728608746, 127.55373510971187, 127.42116604085223, 127.28465715536193, 127.1441996896814, 126.9997846126174, 126.85140262222512, 126.69904414257802, 126.5426993204222, 126.38235802171253, 126.21800982802736, 126.04964403285865, 125.87724963777416, 125.70081534844813, 125.52032957055694, 125.33578040553554, 125.14715564619138, 124.95444277217085, 124.75762894527446, 124.55670100461617, 124.35164546162179, 124.14244849486201, 123.92909594471459, 123.71157330785037, 123.4898657315377, 123.26395800775919, 123.03383456713472, 122.79947947264463, 122.56087641314595, 122.31800869667505, 122.07085924352928, 121.81941057912013, 121.56364482658977, 121.30354369918291, 121.03908849236507, 120.77026007567824, 120.49703888432458, 120.21940491046797, 119.93733769424313, 119.6508163144614, 119.35981937900175, 119.06432501487511, 118.76431085794931, 118.45975404232173, 118.1506311893257, 117.83691839615624, 117.51859122410015, 117.19562468635426, 116.86799323541523, 116.53567075002351, 116.19863052164284, 115.85684524045594, 115.51028698085604, 115.15892718641304, 114.80273665429114, 114.44168551909502, 114.07574323611888, 113.70487856397247, 113.32905954655608, 112.94825349435531, 112.56242696502501, 112.17154574322925, 111.77557481970359, 111.37447836950285, 110.96821972939622, 110.5567613743691, 110.14006489318872, 109.71809096298814, 109.2907993228205, 108.85814874613263, 108.42009701210394, 107.97660087579341, 107.5276160370338, 107.07309710800871, 106.61299757944363, 106.1472697853386, 105.67586486616463, 105.19873273044159, 104.71582201460963, 104.22708004110078, 103.73245277451075, 103.23188477576475, 102.7253191541635, 102.2126975171881, 101.69395991793401, 101.16904480003534, 100.63788893993062, 100.10042738631087, 99.55659339657925, 99.00631837013862, 98.44953177831076, 97.88616109067493, 97.31613169759866, 96.73936682871535, 96.15578746708476, 95.56531225875108, 94.96785741739133, 94.36333662372165, 93.75166091930136, 93.13273859434602, 92.5064750691271, 91.87277276850055, 91.23153098906616, 90.58264575841788, 89.92600968589525, 89.26151180419471, 88.58903740113996, 87.90846784084646, 87.21968037344296, 86.52254793243289, 85.81693891868963, 85.10271696998137, 84.37974071481008, 83.64786350922574, 82.90693315513924, 82.15679159850222, 81.39727460554727, 80.62821141508653, 79.84942436464532, 79.06072848795655, 78.26193108105949, 77.45283123392362, 76.63321932415302, 75.80287646890893, 74.96157393071103, 74.10907247223055, 73.24512165456073, 72.36945907272444, 71.48180952134346, 70.58188408242282, 69.66937912607706, 68.7439752137106, 67.80533589162587, 66.85310636122799, 65.88691200986695, 64.90635678384085, 63.911021382097374, 62.900461245606195, 61.87420431310849, 60.83174850881585, 59.7725589214244, 58.69606462626882, 57.6016550932281, 56.48867611167729, 55.356425149791036, 54.20414604810462, 53.03102292545241, 51.83617314792143, 50.61863917653327, 49.37737906461204, 48.11125531794504, 46.81902175535115, 45.499307907764155, 44.150600361328934, 42.771220271185804, 41.35929602835447, 39.91272972376822, 38.42915557755151, 36.90588782072639, 35.339854524081304, 33.72751239209528, 32.06473529063035, 30.34666576113348, 28.56751311270175, 26.846688992170115, 25.21772320665383, 23.67760963333777, 22.22167465729159, 20.845388543356233, 19.544450303434253, 18.31478233627691, 17.15252050632005, 16.054004205883338, 15.015766681564983, 14.034525668493048, 13.10717435509631, 12.230772691773169, 11.40253905036567, 10.619842236888722, 9.880193855238797, 9.18124101707117, 8.520759389536725, 7.896646570719253, 7.306915779682198, 6.749689845607008, 6.223195477533685, 5.725757792383161, 5.255795074292766, 4.811813732693187, 4.392403418551708, 3.9962322488685267, 3.622042078012044, 3.268643739613308, 2.9349121664186555, 2.6197812754404644, 2.3222384833231122, 2.041318690170448, 1.7760975363193852, 1.5256836900103021, 1.28920985440348, 1.0658220817002875, 0.8546668758242187, 0.6548756441620257, 0.4655472361704533, 0.2857355774469885, 0.11450074076922061, -0.04881309574816141, -0.2039281883139667, -0.32974041636651896, -0.43995301422184036, -0.5371233923156317, -0.6325662089347058, -0.7169442305195947, -0.7913578285435178, -0.8575288025194344, -0.9167626997573828, -0.9700380667754431, -1.0181090463616367, -1.0615718844534938, -1.1009090067569582, -1.1365214374027786, -1.1687586242440717, -1.197960982906667, -1.2245678136884581, -1.2495356186365174, -1.2646083050374117, -1.275222947088514, -1.2825946537223056, -1.2874161652194245, -1.29019659915775, -1.2918568401387254, -1.2923939899588375, -1.2914622475417121, -1.2885187848953514, -1.2830077728466238, -1.2741967075378526, -1.2608348399542022, -1.2399649312412153, -1.2166679067412007, -1.189729575590195, -1.1606188853793284, -1.1288630095375962, -1.094121540111466, -1.0561073604378288, -1.014521066564231, -0.9690244634026758, -0.9192225008104615, -0.8646448906296318, -0.804723375072215, -0.7387611968560789, -0.6658908320482616, -0.5852710925826784, -0.49514232009575043, -0.3943071880776947, -0.2805754818786973, -0.15260154080822733, -0.0132116452009444, 0.1337727084536085, 0.2868414318154943, 0.4461629644550685, 0.6125713641640302, 0.7867953081192207, 0.9695630310714883, 1.1614785488453694, 1.363174965543507, 1.575250459754321, 1.7983076288645483, 2.0329505334250273, 2.2797913290267844, 2.539455521332766, 2.8125865368399583, 3.09984978265568, 3.4019363130963263, 3.719566181391073, 4.053491534426469, 4.404499498690936, 4.773414900792585, 5.161102862854982, 5.568471310736418, 5.996473429377969, 6.446110097039919, 6.918432325958074, 7.414543733360068, 7.93560306333724, 8.482826776843584, 9.057491724130408, 9.660937911643787, 10.294571373124361, 10.95986715317526, 11.65837240996907, 12.391709642295876, 13.161580045751148, 13.969767001213766, 14.81813969842407, 15.708656896353913, 16.64337082104105, 17.62443120105922, 18.65408943962743, 19.73470292091447, 20.868739447061852, 22.058781801308392, 23.30753243019609, 24.61781823712059, 25.992595476003647, 27.434954732665755, 28.94812597930538, 30.53548368380281, 32.20055195418186, 33.816341944722666, 35.385855821181515, 36.91267337680559, 38.39989216751928, 39.85021580197598, 41.26602225825214, 42.64941751926078, 44.00227823154555, 45.32628603134628, 46.6229554576944, 47.89365686839725, 49.139635418007785, 50.362026900268695, 51.56187107029355, 52.740122923331974, 53.89766230338901, 55.03530213659516, 56.15379552430803, 57.253841884674344, 58.33609229536102, 59.4011541618768, 60.4495953135196, 61.4819476111343, 62.49871013653734, 63.500352021892006, 64.4873149679035, 65.46001549201515, 66.41884694145982, 67.36418130079824, 68.29637081923624, 69.2157494793959, 70.12263432618147, 71.0173266718335, 71.90011319110637, 72.77126691867781, 73.63104815934565, 74.47970532023675, 75.317475673115, 76.14458605389785, 76.96125350564525, 77.76768587055635, 78.56408233587547, 79.35063393805795, 80.12752402906746, 80.89492870825559, 81.6530172229059, 82.40195234020398, 83.14189069310714, 83.87298310233962, 84.59537487651409, 85.30920609218612, 86.01461185547139, 86.71172254670243, 87.40066404946049, 88.08155796519674, 88.75452181454591, 89.41966922633557, 90.07711011520533, 90.72695084867351, 91.36929440441143, 92.00424051842548, 92.63188582478598, 93.25232398749054, 93.86564582500057, 94.47193942794557, 95.07129027045256, 95.66378131552115, 96.2494931148309, 96.82850390333903, 97.40088968900109, 97.96672433791868, 98.5260796551988, 99.07902546178771, 99.62562966752277, 100.16595834062844, 100.70007577386842, 101.22804454754761, 101.74992558954722, 102.26577823256346, 102.77566026870664, 103.27962800160971, 103.77773629618378, 104.27003862614964, 104.75658711946548, 105.23743260176445, 105.71262463790738, 106.18221157174975, 106.64624056421547, 107.1047576297656, 107.55780767134335, 108.00543451387136, 108.44768093637585, 108.88458870280371, 109.31619859159679, 109.74255042408521, 110.16368309175452, 110.57963458244164, 110.99044200550995, 111.39614161605094, 111.79676883815767, 112.19235828731243, 112.58294379192918, 112.96855841408876, 113.34923446950282, 113.72500354674031, 114.0958965257494, 114.46194359570529, 114.82317427221247, 115.17961741388928, 115.53130123836107, 115.87825333768647, 116.22050069324047, 116.5580696900764, 116.89098613078853, 117.21927524889487, 117.54296172175951, 117.86206968307391, 118.17662273491277, 118.48664395938167, 118.79215592987354, 119.09318072194664, 119.38973992384051, 119.68185464664235, 119.96954553411715, 120.25283277221362, 120.53173609825924, 120.80627480985366, 121.07646777347229, 121.3423334327911, 121.60388981674092, 121.86115454730205, 122.11414484704721, 122.36287754644222, 122.60736909091173, 122.84763554767916, 123.0836926123865, 123.31555561550363, 123.54323952853139, 123.76675897000742, 123.98612821131904, 124.20136118233081, 124.41247147683164, 124.61947235780744, 124.82237676254402, 125.02119730756627, 125.2159462934176, 125.40663570928531, 125.59327723747474, 125.7758822577386, 125.9544618514635, 126.12902680571952, 126.2995876171751, 126.46615449588195, 126.62873736893225, 126.78734588399294, 126.94198941271912, 127.09267705405026, 127.23941763739143, 127.3822197256835, 127.52109161836391, 127.65604135422073, 127.78707671414337, 127.91420522377115, 128.0374341560426, 128.1567705336474, 128.2722211313833, 128.38379247841962, 128.4914908604696, 128.59532232187271, 128.69529266758968, 128.79140746511064, 128.8836720462791, 128.9720915090322, 129.0566707190594, 129.13741431138058, 129.21432669184446, 129.28741203854963, 129.3566743031879, 129.4221172123122, 129.4837442685291, 129.54155875161769, 129.59556371957484, 129.64576200958876, 129.69215623894016, 129.73474880583333, 129.77354189015622, 129.80853745417127, 129.83973724313674, 129.86714278585984, 129.890755395181, 129.9105761683907, 129.92660598757834, 129.93884551991428, 129.94729521786408, 129.95195531933658, 129.95282584776436, 129.9499066121182, 129.94319720685414, 129.93269701179418, 129.91840519193977, 129.90032069721872, 129.8784422621644, 129.852768405528, 129.82329742982245, 129.7900274207989, 129.75295624685447, 129.71208155837084, 129.66740078698385, 129.61891114478297, 129.56660962343997, 129.51049299326675, 129.450557802201, 129.3868003747191, 129.31921681067553, 129.2478029840679, 129.1725545417263, 129.09346690192666, 129.01053525292602, 128.92375455141968, 128.83311952091816, 128.73862465004308, 128.64026419074068, 128.53803215641108, 128.43192231995232, 128.32192821171762, 128.2080431173834, 128.09026007572737, 127.96857187631412, 127.8429710570869, 127.71344990186276, 127.58000043772994, 127.44261443234444, 127.30128339112426, 127.15599855433811, 127.00675089408688, 126.85353111117456, 126.69632963186648, 126.53513660453149, 126.36994189616556, 126.20073508879328, 126.02750547574445, 125.85024205780188, 125.66893353921733, 125.48356832359171, 125.29413450961549, 125.10061988666573, 124.90301193025526, 124.70129779732966, 124.49546432140757, 124.28549800755947, 124.07138502722019, 123.85311121282963, 123.63066205229651, 123.40402268327954, 123.17317788727996, 122.93811208353937, 122.69880932273642, 122.45525328047572, 122.2074272505618, 121.95531413805082, 121.6988964520727, 121.438156298415, 121.17307537186088, 120.90363494827187, 120.62981587640675, 120.35159856946626, 120.06896299635457, 119.78188867264608, 119.49035465124713, 119.1943395127411, 118.89382135540431, 118.58877778488089, 118.27918590350247, 117.96502229923962, 117.64626303426991, 117.3228836331476, 116.99485907055843, 116.66216375864353, 116.32477153387383, 115.98265564345664, 115.63578873125542, 115.28414282320112, 114.92768931217452, 114.56639894233584, 114.20024179287844, 113.82918726118099, 113.45320404533135, 113.07226012599459, 112.68632274759537, 112.295358398783, 111.89933279214739, 111.49821084314988, 111.09195664823326, 110.68053346207132, 110.26390367391794, 109.8420287830108, 109.41486937298563, 108.98238508525063, 108.5445345912707, 108.10127556370622, 107.6525646463484, 107.19835742279031, 106.7386083837676, 106.27327089309948, 105.80229715215684, 105.32563816277843, 104.84324368855198, 104.35506221437065, 103.86104090417088, 103.36112555674967, 102.85526055955431, 102.34338884032825, 101.82545181649118, 101.30138934212046, 100.77113965239396, 100.23463930534317, 99.69182312075446, 99.14262411604597, 98.58697343893259, 98.02480029668057, 97.45603188173598, 96.88059329349501, 96.29840745596881, 95.70939503107218, 95.1134743272476, 94.51056120311127, 93.90056896578275, 93.28340826353225, 92.65898697234913, 92.02721007600171, 91.38797953912125, 90.74119417280413, 90.0867494921799, 89.42453756534488, 88.75444685300633, 88.07636203812285, 87.39016384475879, 86.69572884529872, 85.99292925508412, 85.28163271344408, 84.561702049991, 83.83299503493757, 83.09536411206382, 82.34865611282369, 81.59271194991814, 80.82736628848302, 80.05244719283944, 79.26777574652372, 78.47316564305811, 77.66842274462954, 76.85334460551186, 76.02771995668814, 75.19132814769841, 74.34393854124374, 73.48530985550988, 72.61518944852311, 71.73331253809867, 70.83940135007155, 69.93316418649361, 69.01429440430378, 68.08246929361239, 67.13734884313281, 66.17857437840986, 65.20576705627029, 64.2185261962847, 63.21642742690056, 62.199020620163495, 61.16582758446279, 60.116339479329206, 59.050013909771884, 57.96627164967684, 56.86449293404244, 55.7440132478328, 54.604118524370826, 53.444039647679155, 52.26294612993364, 51.05993880581233, 49.83404134808465, 48.5841903606738, 47.30922374305795, 46.007866938225604, 44.678716568408674, 43.32022081836187, 41.93065573036941, 40.50809630682067, 39.05038094267503, 37.555067181928536, 36.0193760320809, 34.44012095546176, 32.81361598472435, 31.135554843166403, 29.40084890089147, 27.627443699270234, 25.944247464351342, 24.35303202155076, 22.849188605575744, 21.42801591953004, 20.085038413093724, 18.816012749496824, 17.616918112313147, 16.48394588534277, 15.413489566361026, 14.402134994417045, 13.446650916620252, 12.543979910957164, 11.691229673441779, 10.885664672763951, 10.124698171226694, 9.405884607481863, 8.726912333346439, 8.085596694796614, 7.47987344492018, 6.9077924740754835, 6.367511840052148, 5.85729207804739, 5.3754907662740745, 4.920557318201102, 4.491027966476727, 4.0855208953350735, 3.7027314687001147, 3.341427489172816, 3.0004444085519713, 2.678680393871904, 2.375091133959051, 2.088684249325495, 1.8185131427883152, 1.5636700945178028, 1.3232783576582468, 1.0964829392897841, 0.8824396550442334, 0.6803019849360029, 0.4892055687528708, 0.30825237221643365, 0.1365242242305201, -0.026891194261415455, -0.18245394648128158, -0.3284861047888601, -0.443260348416418, -0.5438612567605389, -0.6326852141314997, -0.7195402923598975, -0.7963161958535876, -0.8640142198168936, -0.9241284240441515, -0.9777990646038176, -1.0258883889630057, -1.0690645115990083, -1.1078561898651864, -1.1426894609715288, -1.1739147939965067, -1.2018327292958813, -1.2267340153302377, -1.2490185183926406, -1.2659224398608504, -1.276824043292314, -1.2839581840109124, -1.2883050435143055, -1.2905233866447423, -1.2912167106173345, -1.2909483520423009, -1.28941292655327, -1.2860705613055612, -1.280425614266165, -1.2719078648413826, -1.2597017092119562, -1.2423157628647328, -1.2160994247680506, -1.1890012019911096, -1.1584557128678583, -1.1257991820343585, -1.0905142945887358, -1.0522292152399677, -1.0106282125478054, -0.9653857161865137, -0.9162573106975811, -0.8627114492924478, -0.8042496940843302, -0.7402710081579574, -0.670039210369449, -0.5926377702626242, -0.506908821178481, -0.4117716910794532, -0.3050923004935045, -0.185043181473148, -0.05110428706969387, 0.0939467838345828, 0.24644793289423905, 0.40498710142746097, 0.5699228902317975, 0.7420065204484408, 0.9219903745452309, 1.110576894859388, 1.3084252506126457, 1.5161657867787484, 1.734412703765979, 1.9637740295039223, 2.2048594654082256, 2.45828675045339, 2.7246870090278317, 3.0047093834387515, 3.299025138795128, 3.6083313596312414, 3.9333543191822806, 4.27485258190214, 4.633619890413615, 5.010487881997685, 5.40632867721207, 5.822057379384431, 6.258634520599614, 6.7170684861033925, 7.198417944961511, 7.703794310695566, 8.234364252718477, 8.791352275049368, 9.376043376723207, 9.989785805281057, 10.633993912888892, 11.310151122966749, 12.019813013231996, 12.764610520392836, 13.546253270515093, 14.366533037532747, 15.227327332425686, 16.130603123593158, 17.078420689146434, 18.072937599454832, 19.116412828642265, 20.211210991081053, 21.35980669859175, 22.564789031417842, 23.828866115149186, 25.154869793046217, 26.54576038071737, 28.004631487805163, 29.534714888662613, 31.13938542040185, 32.80560327025457, 34.42135369362739, 35.99079534852929, 37.517494645708474, 39.004539958549266, 40.45462870295607, 41.87013481520649, 43.25316179648074, 44.60558494956962, 45.929085399748104, 47.225177784867945, 48.49523300692003, 49.740497087842954, 50.962106920629964, 52.16110352287175, 53.33844326374782, 54.495007433496696, 55.63161044715524, 56.7490069152476, 57.8478977684381, 58.92893558756676, 59.992729262515695, 61.039848081198095, 62.070825332286155, 63.08616149109913, 64.0863270465945, 65.07176501807216, 66.04289320256744, 67.0001061876276, 67.9437771589799, 68.87425952828423, 69.79188840256866, 70.69698191392997, 71.58984242554274, 72.47075762787627, 73.34000153719894, 74.1978354069024, 75.04450856085218, 75.88025915683782, 76.70531488722254, 77.5198936230474, 78.32420400711896, 79.11844600097889, 79.90281139010183, 80.67748425119156, 81.44264138502471, 82.19845271792391, 82.94508167462065, 83.68268552498378, 84.41141570683716, 85.13141812687084, 85.84283344145064, 86.54579731895925, 87.24044068514456, 87.92688995281387, 88.60526723708803, 89.27569055731985, 89.9382740266814, 90.59312803033693, 91.24035939303674, 91.88007153689676, 92.512364630063, 93.13733572690225, 93.75507890030616, 94.36568536664896, 94.9692436038955, 95.56583946331666, 96.15555627523244, 96.73847494917291, 97.31467406881464, 97.8842299820242, 98.44721688631533, 99.00370691000549, 99.55377018933422, 100.09747494178704, 100.63488753585285, 101.16607255742638, 101.69109287305042, 102.21000969018145, 102.72288261464922, 103.2297697054686, 103.73072752715164, 104.22581119965902, 104.71507444611952, 105.19856963843851, 105.67634784090991, 106.14845885193529, 106.6149512439519, 107.07587240166119, 107.53126855864649, 107.98118483246093, 108.42566525826321, 108.86475282107459, 109.29848948672361, 109.72691623154462, 110.15007307088942, 110.56799908650943, 110.98073245286284, 111.38831046239572, 111.79076954984725, 112.18814531562259, 112.5804725482767, 112.96778524614972, 113.35011663819175, 113.72749920401341, 114.09996469319627, 114.46754414389599, 114.83026790076808, 115.18816563224607, 115.54126634719982, 115.8895984109994, 116.23318956101038, 116.57206692154325, 116.90625701828009, 117.23578579219934, 117.56067861301975, 117.88096029218124, 118.19665509538305, 118.50778675469479, 118.81437848025814, 119.1164529715947, 119.41403242853505, 119.70713856178352, 119.99579260313199, 120.28001531533641, 120.55982700166815, 120.83524751515192, 121.10629626750217, 121.37299223776797, 121.63535398069777, 121.89339963483297, 122.14714693034041, 122.39661319659265, 122.64181536950431, 122.88276999863336, 123.11949325405476, 123.3520009330142, 123.58030846636925, 123.80443092482479, 124.02438302496915, 124.2401791351176, 124.4518332809691, 124.65935915108224, 124.8627701021756, 125.06207916425855, 125.25729904559687, 125.44844213751837, 125.63552051906365, 125.81854596148555, 125.99752993260256, 126.17248360100969, 126.34341784015106, 126.51034323225785, 126.67327007215538, 126.83220837094277, 126.98716785954832, 127.13815799216427, 127.28518794956345, 127.42826664230112, 127.56740271380485, 127.7026045433547, 127.83388024895696, 127.96123769011322, 128.08468447048762, 128.20422794047442, 128.31987519966782, 128.43163309923645, 128.53950824420414, 128.6435069956394, 128.74363547275456, 128.83989955491714, 128.9323048835747, 129.02085686409436, 129.1055606675193, 129.18642123224308, 129.26344326560286, 129.33663124539365, 129.4059894213038, 129.47152181627365, 129.53323222777797, 129.5911242290332, 129.6452011701306, 129.69546617909606, 129.74192216287744, 129.78457180826027], \"y\": [-49.748846207461675, -49.73971102373544, -49.64756178441268, -49.553964539365936, -49.45892182011889, -49.362436077297474, -49.26450968117204, -49.165144922174875, -49.06434401139356, -48.9621090810405, -48.85844218489877, -48.75334529874453, -48.64682032074636, -48.53886907184166, -48.429493296090335, -48.31869466100591, -48.20647475786429, -48.09283510199041, -47.977777133022684, -47.861302215155625, -47.74341163736058, -47.62410661358479, -47.503388282928775, -47.38125770980207, -47.2577158840576, -47.132763721104375, -47.00640206199884, -46.87863167351469, -46.74945324819125, -46.618867404360316, -46.48687468615148, -46.35347556347586, -46.218670431988215, -46.0824596130272, -45.944843353533855, -45.80582182594817, -45.66539512808343, -45.523563282978465, -45.380326238727385, -45.235683868286756, -45.08963596926004, -44.94218226365893, -44.79332239764163, -44.64305594122744, -44.49138238798774, -44.33830115471291, -44.18381158105485, -44.02791292914489, -43.870604383186695, -43.7118850490237, -43.55175395368091, -43.390210044880405, -43.22725219053031, -43.062879178186634, -42.89708971448771, -42.72988242456041, -42.561255851397924, -42.391208455208364, -42.21973861273369, -42.04684461653832, -41.87252467426678, -41.69677690786977, -41.51959935279792, -41.34098995716249, -41.16094658086234, -40.97946699467618, -40.79654887931958, -40.61218982446552, -40.42638732772789, -40.23913879360676, -40.050441532394565, -39.86029275904213, -39.66868959198348, -39.4756290519183, -39.281108060550864, -39.08512343928426, -38.8876719078686, -38.688750083001885, -38.48835447688218, -38.28648149570961, -38.083127438136735, -37.878288493665615, -37.67196074099014, -37.46414014628161, -37.2548225614161, -37.04400372214156, -36.83167924618271, -36.617844631281834, -36.40249525317318, -36.18562636348896, -35.967233087594444, -35.74731042234991, -35.525853233796866, -35.302856254765835, -35.07831408240322, -34.85222117561405, -34.62457185241793, -34.39536028721485, -34.164580507957695, -33.93222639322801, -33.69829166921149, -33.462769906569406, -33.225654517202095, -32.98693875090047, -32.746615691881196, -32.50467825520116, -32.26111918304652, -32.01593104089137, -31.76910621352106, -31.520636900914706, -31.270515113981247, -31.01873267014328, -30.76528118876244, -30.510152086399877, -30.25333657190517, -29.994825641326464, -29.73461007263458, -29.472680420253198, -29.20902700938702, -28.9436399301395, -28.67650903141104, -28.4076239145684, -28.13697392687558, -27.864548154675763, -27.5903354163137, -27.314324254787245, -27.036502930116267, -26.75685941141658, -26.475381368666117, -26.192056164149683, -25.90687084356842, -25.619812126799108, -25.33086639828807, -25.040019697063638, -24.74725770635055, -24.452565742768964, -24.15592874510006, -23.857331262599722, -23.55675744284086, -23.254191019064613, -22.94961529701994, -22.64301314127053, -22.33436696094782, -22.023658694928198, -21.71086979641249, -21.395981216885858, -21.078973389436136, -20.759826211409454, -20.438519026382448, -20.11503060543183, -19.789339127683647, -19.461422160126997, -19.13125663668016, -18.798818836501102, -18.464084361539776, -18.12702811333631, -17.787624269077735, -17.445846256936814, -17.10166673072972, -16.755057543946425, -16.405989723228316, -16.05443344139351, -15.70035799014257, -15.343731752617023, -14.98452217603257, -14.62269574466991, -14.258217953582292, -13.89105328347301, -13.521165177313703, -13.148516019420693, -12.773067117889594, -12.394778691517828, -12.013609862632912, -11.629518657607772, -11.242462017304348, -10.852395820270896, -10.459274922264024, -10.063053216621999, -9.663683721247132, -9.2611186995499, -8.855309824785648, -8.446208399940176, -8.033765648918912, -7.61793309958119, -7.198663085579514, -6.775909402644436, -6.349628166806514, -5.919778938389822, -5.486326198398953, -5.049241296076795, -4.608505032381547, -4.164111110801055, -3.7160707851409667, -3.2644191811481487, -2.8092239937901713, -2.350597613170955, -1.9106507702491053, -1.5088714695790706, -1.1814715151170792, -0.8529119230171126, -0.5880340370543191, -0.35219488780922487, -0.14679931648289196, 0.022859033930607276, 0.19250703644828768, 0.36460341363954807, 0.5500453629255864, 0.7420375144367158, 0.9358123281823537, 1.128013219912407, 1.3161755385474976, 1.4984508514242587, 1.6734460276216032, 1.8401199376536899, 1.9977118255106439, 2.1456884731025023, 2.2837032762697795, 2.4115633444246725, 2.5292023263313084, 2.6366575494128113, 2.7340505677476914, 2.8215705110093627, 2.8994598026600658, 2.96800192115419, 3.0275109423713165, 3.0783226423611256, 3.1207869672067923, 3.1552616973149923, 3.1821071501405975, 3.201681779964146, 3.214338546674551, 3.2204219377673815, 3.220265538957411, 3.2141900586545833, 3.2025017197470476, 3.1854909382103034, 3.1634312113917704, 3.1365781384849605, 3.1051684903765286, 3.069419233649338, 3.029526390888511, 2.985663581640357, 2.937980027591559, 2.8865977093328197, 2.8316072102840617, 2.7730615434161843, 2.7109668776453946, 2.6452684970863043, 2.5758295207565722, 2.5023993218510467, 2.4245713256444708, 2.341753690637285, 2.253314509180336, 2.159616821452503, 2.07702582606076, 1.997374359427733, 1.9202034203616747, 1.8370627628170169, 1.7558953874346461, 1.6769339386070972, 1.5995877652541075, 1.523329775357383, 1.4477023097101456, 1.372274668441482, 1.2966030038474379, 1.2201840749564419, 1.1423848012668378, 1.062306724486728, 0.9784617428949051, 0.8877525143153239, 0.7810110273686325, 0.7021236980087707, 0.6310367531798988, 0.5664631801207861, 0.5087927334315829, 0.4613198284365389, 0.4134766663631196, 0.3595658585144143, 0.2975733432312091, 0.22855956380848463, 0.1523502305956989, 0.06759244391585431, -0.029272196787550626, -0.14804959442333832, -0.2540711335505249, -0.35926658584859383, -0.46003443477828365, -0.5593195146524935, -0.6586852204323136, -0.7590910727238444, -0.8612650695675558, -0.9658428414300085, -1.0734369651329578, -1.1846822451985979, -1.3002739133181191, -1.421007454049329, -1.547825901919388, -1.68187730664286, -1.8245715269207368, -1.9775630452663244, -2.1423385734140363, -2.318546425233887, -2.501753239309517, -2.686718097633145, -2.871937496625081, -3.0580236847073445, -3.245922885655309, -3.436470610620617, -3.6303537023327177, -3.8281409039045453, -4.03031524254217, -4.2372987687408505, -4.449470433730627, -4.667179043929423, -4.890752831721515, -5.120506684954757, -5.356747715174242, -5.599779609665671, -5.849906066432876, -6.107433521047836, -6.37267331820862, -6.6459434444430485, -6.927569913286702, -7.217887876140404, -7.517242517452246, -7.825989781203857, -8.14449696563637, -8.473143214824434, -8.812319928655956, -9.162431106599243, -9.523893635934165, -9.89713753081875, -10.282606124989119, -10.680756218341319, -11.092058174637968, -11.516995965825215, -11.95606715588639, -12.409782815674347, -12.878667357682621, -13.363258277945219, -13.86410578965635, -14.38177233093093, -14.916831925727353, -15.469869373945494, -16.04147924274309, -16.632264626502238, -17.242835637136032, -17.873807580675678, -18.52579876762372, -19.19942789562859, -19.89531093171981, -20.61405740772426, -21.35626602616304, -22.121121308531848, -22.85147788008359, -23.550699925382727, -24.221622261612033, -24.86666048624036, -25.48789328056997, -26.087125016746317, -26.665934140494088, -27.225711091340507, -27.767688400180027, -28.29296485126081, -28.802525080178686, -29.297255619904913, -29.777958151865086, -30.24536053546138, -30.70012605535381, -31.142861226666117, -31.57412242408731, -31.994421544718122, -32.40423087162546, -32.80398727199009, -33.19409583799471, -33.57493305840841, -33.9468495928621, -34.310172708100914, -34.665208425311434, -35.01224341940404, -35.351546704458144, -35.683371134096284, -36.0079547410814, -36.32552193674951, -36.63628458783239, -36.94044298568293, -37.23818672078741, -37.52969547366256, -37.81513973172858, -38.094681440474226, -38.36847459614579, -38.636665786269354, -38.899394683524875, -39.15679449781275, -39.408992390770486, -39.65610985649261, -39.89826307177108, -40.13556321879514, -40.36811678291916, -40.59602582782037, -40.81938825011578, -41.03829801528737, -41.252845376571585, -41.463117078296165, -41.6691965449994, -41.87116405753104, -42.069096917217855, -42.263069599070285, -42.45315389491462, -42.63941904725116, -42.82193187456475, -43.000756888747446, -43.17595640523416, -43.3475906463981, -43.51571783870481, -43.68039430408093, -43.841674545915005, -43.99961133007115, -44.15425576126681, -44.305657355134734, -44.453864106265534, -44.598922552501726, -44.740877835733464, -44.879773759426755, -45.01565284309699, -45.14855637392415, -45.278524455691574, -45.405596055216144, -45.52980904642672, -45.65120025223391, -45.76980548432634, -45.88565958101732, -45.9987964432581, -46.109249068925315, -46.217049585482485, -46.32222928110958, -46.424818634387535, -46.524847342619076, -46.62234434886152, -46.71733786774334, -46.80985541012973, -46.89992380670036, -46.98756923049709, -47.07281721849568, -47.15569269225382, -47.236219977682154, -47.314422823984366, -47.3903244218081, -47.46394742064701, -47.53531394553039, -47.60444561303701, -47.671363546665376, -47.73608839159171, -47.79864032884571, -47.85903908893133, -47.91730396491911, -47.973453825034525, -48.02750712476654, -48.07948191851739, -48.12939587081523, -48.17726626710952, -48.22311002416753, -48.26694370008965, -48.30878350396065, -48.34864530515287, -48.38654464229607, -48.4224967319283, -48.45651647684209, -48.48861847413788, -48.518817022997546, -48.54712613218974, -48.573559527317975, -48.598130657821706, -48.620852703740965, -48.64173858225384, -48.660800953995924, -48.67805222917014, -48.69350457345563, -48.707169913723476, -48.71905994356606, -48.72918612864858, -48.737559711888075, -48.7441917184674, -48.74909296068991, -48.75227404268143, -48.7537453649441, -48.75351712876862, -48.751599340509195, -48.748001815726745, -48.74273418320501, -48.735805888843636, -48.72722619943307, -48.7170042063151, -48.70514882893332, -48.69166881827726, -48.676572760223415, -48.65986907877706, -48.641566039218176, -48.6216717511547, -48.60019417148594, -48.577141107279495, -48.55252021856403, -48.52633902104088, -48.49860488871767, -48.46932505646484, -48.438506622499574, -48.40615655079759, -48.37228167343651, -48.336888692871426, -48.29998418414616, -48.261574597041324, -48.2216662581613, -48.18026537296187, -48.13737802772024, -48.09301019144963, -48.047167717759095, -47.999856346661005, -47.951081706327194, -47.90084931479565, -47.84916458162826, -47.79603280952199, -47.74145919587434, -47.68544883430399, -47.62800671612815, -47.569137731798115, -47.50884667229324, -47.44713823047515, -47.38401700240274, -47.31948748860942, -47.253554095343134, -47.18622113577002, -47.117492831143096, -47.04737331193621, -46.975866618944245, -46.902976704351055, -46.82870743276454, -46.753062582220494, -46.67604584515609, -46.59766082935286, -46.517911058850736, -46.43679997483263, -46.3543309364816, -46.27050722180957, -46.1853320284596, -46.098808474481295, -46.01093959908014, -45.92172836334121, -45.831177650927934, -45.73929026875613, -45.64606894764332, -45.55151634293481, -45.45563503510608, -45.35842753034186, -45.25989626109261, -45.16004358660848, -45.058871793451345, -44.95638309598472, -44.852579636842364, -44.74746348737564, -44.64103664807971, -44.53330104899922, -44.424258550112974, -44.31391094169874, -44.2022599446779, -44.089307210939914, -43.97505432364682, -43.85950279751883, -43.74265407909975, -43.62450954700337, -43.505070512140406, -43.38433821792673, -43.26231384047207, -43.138998488749905, -43.01439320474874, -42.88849896360405, -42.76131667371181, -42.63284717682311, -42.503091248119894, -42.37204959627219, -42.239722863476246, -42.106111625474064, -41.97121639155433, -41.835037604533966, -41.69757564072091, -41.558830809858286, -41.418803355048745, -41.27749345266039, -41.134901212212604, -40.99102667624314, -40.84586982015502, -40.699430552044234, -40.551708712507015, -40.40270407442738, -40.2524163427442, -40.10084515419795, -39.94799007705644, -39.793850610819746, -39.63842618590383, -39.48171616330287, -39.32371983422929, -39.16443641973226, -39.003865070293216, -38.842004865398884, -38.67885481309123, -38.51441384949362, -38.348680838313044, -38.1816545703184, -38.01333376279334, -37.84371705896429, -37.67280302740271, -37.50059016140085, -37.32707687832107, -37.15226151891734, -36.976142346629196, -36.79871754684724, -36.619985226149105, -36.43994341150598, -36.258590049458284, -36.07592300526061, -35.89194006199435, -35.706638919647574, -35.52001719416167, -35.33207241644317, -35.14280203134089, -34.95220339658648, -34.760273781697855, -34.56701036684484, -34.37241024167552, -34.1764704041022, -33.97918775904659, -33.78055911714187, -33.58058119339163, -33.37925060578374, -33.17656387385784, -32.9725174172254, -32.76710755404121, -32.56033049942355, -32.35218236382343, -32.142659151339444, -31.93175675797823, -31.71947096985753, -31.505797461350678, -31.290731793171148, -31.074269410393928, -30.856405640413257, -30.637135690833393, -30.41645464729128, -30.194357471207876, -29.970838997467006, -29.745893932018358, -29.51951684940232, -29.291702190194883, -29.062444258368632, -28.83173721856802, -28.599575093295883, -28.36595176000769, -28.1308609481114, -27.894296235868456, -27.656251047193738, -27.416718648350727, -27.17569214453785, -26.933164476362872, -26.68912841620157, -26.443576564436615, -26.196501345572447, -25.947895004222524, -25.697749600964524, -25.446057008058997, -25.19280890502712, -24.937996774083306, -24.681611895417472, -24.423645342323056, -24.164087976165074, -23.902930441184672, -23.64016315913412, -23.375776323738314, -23.109759894977753, -22.842103593188266, -22.572796892973148, -22.30182901692298, -22.029188929139675, -21.754865328560115, -21.478846642076782, -21.201121017452046, -20.92167631602399, -20.6405001052025, -20.357579650754975, -20.072901908882308, -19.78645351808769, -19.4982207908413, -19.208189705047626, -18.91634589532268, -18.62267464409321, -18.327160872531696, -18.029789131346234, -17.73054359144844, -17.429408034528855, -17.126365843575748, -16.82139999338104, -16.514493041087636, -16.205627116842123, -15.894783914632153, -15.581944683402343, -15.267090218562254, -14.950200854022222, -14.631256454920743, -14.31023641123783, -13.98711963252868, -13.66188454405805, -13.334509084669795, -13.004970706795298, -12.67324637908248, -12.339312592226245, -12.003145368698585, -11.664720277219985, -11.324012452989288, -10.980996624902662, -10.635647151255906, -10.287938065748133, -9.93784313600495, -9.585335937338403, -9.230389945080628, -8.87297864960712, -8.513075699146476, -8.150655076714123, -7.78569131908918, -7.4181597877783645, -7.048037004521822, -6.675301067284321, -6.299932167104241, -5.921913232010493, -5.541230731969609, -5.157875689219873, -4.771844952413327, -4.383142812221826, -3.9917830626615403, -3.5977916496222733, -3.201210100901817, -2.8021000080464833, -2.4005489414172403, -1.996678345215411, -1.5906542099244194, -1.1827017081073252, -0.7731255960008546, -0.3623391883766753, 0.049093596695317945, 0.45302972882545156, 0.8217907559236683, 1.156501213946193, 1.4595530496475713, 1.7332316436560846, 1.9796599605661325, 2.200807838873813, 2.398503458045103, 2.574443937024167, 2.730205017585933, 2.867249922060104, 2.9869374694562634, 3.090529523567399, 3.179197837432854, 3.254030350734911, 3.316036990037628, 3.366155016107826, 3.4052539575281173, 3.4341401654216956, 3.453561020192108, 3.4642088174743733, 3.4667243569753223, 3.4617002542283735, 3.4496839913279924, 3.431180718036106, 3.4066558088392322, 3.3765371739338708, 3.341217311853965, 3.3010550773774017, 3.2563771188391977, 3.207478911917315, 3.1546252792929175, 3.0980502331277076, 3.0379559034318304, 2.974510209732964, 2.9078427785786545, 2.8380383759779346, 2.765126767186832, 2.6890673873884015, 2.6097265598690362, 2.5268449698599738, 2.4399980854968315, 2.348585485554574, 2.2520562991811897, 2.1511825481964992, 2.063714029292728, 1.9796646225332069, 1.8984868349792599, 1.811447729316754, 1.726723757557596, 1.644494778984531, 1.5641139116296676, 1.4850054214742565, 1.406667128697604, 1.3286246447150294, 1.2503866539385884, 1.1713908676918348, 1.0909177132647137, 1.007915580110639, 0.9205537683073775, 0.8246650028790804, 0.7327180238758486, 0.653771235641681, 0.5826345961801536, 0.5181356582684707, 0.46094233734435097, 0.4140003663649787, 0.36810617467295625, 0.3127459767258298, 0.24944798013999506, 0.17915300699199818, 0.10160414254702264, 0.015319835346044112, -0.08359614236571684, -0.2056545470510614, -0.31125112467259086, -0.4158601985686523, -0.5164227745938565, -0.615627340093802, -0.7149394780550077, -0.8152829380898298, -0.9173690333953767, -1.021824338211789, -1.1292561584999803, -1.2402963595219842, -1.355639098082757, -1.476080667543106, -1.6025669188543934, -1.7362499098413418, -1.8785387492399637, -2.0310546341431235, -2.1951163405587155, -2.3698911966026137, -2.5505722029922566, -2.7324090849469402, -2.914358872134294, -3.097121622302048, -3.281616538158028, -3.4686382467190944, -3.658836951158875, -3.8527500880692065, -4.050833300198986, -4.253483838681155, -4.46105748727662, -4.673880872902045, -4.892260596942391, -5.1164901519870165, -5.346855253008307, -5.583637996838138, -5.827120130503268, -6.077585626973487, -6.335322715746914, -6.600625481788229, -6.873795123019716, -7.15514093866924, -7.444981106726254, -7.743643296711273, -8.05146515396462, -8.368794683344063, -8.695990552640563, -9.033422330412376, -9.381470667789076, -9.740527429561288, -10.110995776675468, -10.49329019947249, -10.887836497888047, -11.295071703725489, -11.715443936934111, -12.149412186741412, -12.597446006029454, -13.060025105168936, -13.537638829652582, -14.03078550276562, -14.539971611810556, -15.065710813007618, -15.608522726147317, -16.16893148527659, -16.747464006060934, -17.344647924367415, -17.961009151610185, -18.597068984048068, -19.25334069040536, -19.930325489036388, -20.62850780805345, -21.33804732066434, -22.0150143132988, -22.66257655317889, -23.283406168725076, -23.87978212978874, -24.453666989044237, -25.006765367834948, -25.540569228009655, -26.05639340472344, -26.555403844567103, -27.0386403000186, -27.507034755264474, -27.961426525756732, -28.402574737473227, -28.83116872132972, -29.247836733492313, -29.653153319989123, -30.047645574827136, -30.431798488417773, -30.806059543026777, -31.17084268101665, -31.52653174754262, -31.8734834904393, -32.2120301850618, -32.542481939914, -32.86512872932757, -33.18024219173002, -33.48807722576421, -33.788873411400786, -34.082856278976486, -34.37023844561893, -34.65122063564146, -34.9259925990919, -35.19473394063321, -35.457614869247585, -35.7147968778343, -35.96643336056686, -36.212670174851816, -36.453646153859744, -36.68949357485152, -36.920338587881936, -37.14630160891275, -37.36749768088819, -37.58403680591584, -37.79602425133625, -38.00356083215247, -38.20674317202004, -38.405663944757464, -38.60041209813117, -38.79107306148247, -38.97772893860388, -39.16045868713015, -39.33933828558066, -39.51444088907959, -39.68583697468169, -39.853594477139566, -40.01777891587379, -40.178453513834114, -40.33567930887708, -40.48951525822996, -40.640018336561084, -40.787243628127456, -40.931244413434825, -41.07207225080379, -41.20977705320472, -41.34440716069444, -41.476009408758266, -41.60462919283817, -41.730310529305314, -41.853096113112386, -41.973027372347204, -42.09014451988731, -42.204486602343316, -42.31609154646287, -42.42499620315485, -42.53123638928235, -42.6348469273604, -42.735861683287105, -42.834313602224846, -42.93023474274213, -43.023656309319286, -43.11460868331073, -43.20312145245495, -43.28922343901342, -43.37294272661619, -43.45430668588606, -43.53334199890861, -43.61007468261141, -43.684530111111144, -43.7567330370835, -43.82670761220858, -43.894477406739554, -43.96006542823958, -44.02349413953165, -44.084785475899544, -44.1439608615784, -44.20104122557109, -44.256047016822656, -44.30899821878512, -44.35991436340199, -44.40881454454038, -44.455717430897984, -44.500641278407564, -44.54360394216615, -44.58462288790653, -44.62371520303689, -44.660897607263784, -44.69618646282172, -44.72959778432273, -44.7611472482468, -44.79085020208585, -44.818721673158464, -44.84477637710928, -44.869028726105626, -44.89149283674518, -44.91218253768777, -44.93111137702079, -44.94829262937077, -44.96373930277177, -44.97746414529993, -44.98947965148366, -44.9997980684993, -45.008431402159374, -45.015391422703985, -45.02068967040105, -45.02433746096313, -45.02634589078933, -45.026725842037855, -45.025487987535826, -45.02264279553266, -45.01820053430299, -45.01217127660505, -45.004564903998805, -44.995391111030585, -44.98465940928775, -44.97237913132811, -44.95855943449045, -44.94320930458784, -44.92633755948922, -44.90795285259422, -44.8880636762019, -44.86667836478069, -44.84380509814045, -44.81945190451054, -44.79362666352824, -44.76633710913824, -44.73759083240896, -44.70739528426578, -44.67575777814619, -44.6426854925778, -44.608185473682155, -44.57226463760728, -44.534929772890585, -44.496187542754505, -44.45604448733741, -44.414507025860566, -44.371581458735086, -44.3272739696084, -44.281590627354326, -44.234537388006785, -44.186120096639605, -44.13634448919361, -44.085216194253, -44.03274073477261, -43.97892352975619, -43.92376989588864, -43.8672850491229, -43.80947410622307, -43.75034208626329, -43.68989391208639, -43.628134411721746, -43.56506831976309, -43.50070027870811, -43.435034840260855, -43.368076466597834, -43.299829531598014, -43.23029832203928, -43.159487038759615, -43.0873997977873, -43.014040631437496, -42.93941348937814, -42.86352223966572, -42.786370669750475, -42.707962487452924, -42.628301321911955, -42.54739072450483, -42.46523416974035, -42.381835056125034, -42.297196707004254, -42.211322371376234, -42.124215224682814, -42.03587836957509, -41.94631483665429, -41.85552758519147, -41.76351950382143, -41.67029341121661, -41.57585205673688, -41.48019812105882, -41.38333421678348, -41.28526288902238, -41.185986615964005, -41.0855078094195, -40.9838288153479, -40.88095191436259, -40.77687932221833, -40.67161319027825, -40.56515560596366, -40.45750859318336, -40.34867411274637, -40.23865406275597, -40.127450278985336, -40.01506453523681, -39.901498543682074, -39.7867539551869, -39.67083235961688, -39.553735286128266, -39.435464203439906, -39.316020520090476, -39.195405584677665, -39.0736206860823, -38.95066705367514, -38.82654585750765, -38.70125820848734, -38.57480515853631, -38.44718770073408, -38.31840676944495, -38.18846324042848, -38.05735793093539, -37.925091599786874, -37.791664947437965, -37.65707861602576, -37.521333189401645, -37.38442919314754, -37.24636709457625, -37.10714730271647, -36.96677016828154, -36.825235983622015, -36.68254498266278, -36.53869734082369, -36.39369317492456, -36.24753254307283, -36.100215444536175, -35.951741819597494, -35.80211154939454, -35.65132445574157, -35.49938030093444, -35.34627878753993, -35.192019558165526, -35.03660219521395, -34.88002622061921, -34.72229109556461, -34.56339622018352, -34.40334093324107, -34.24212451179842, -34.07974617085727, -33.91620506298593, -33.7515002779266, -33.58563084218189, -33.41859571858303, -33.25039380583647, -33.0810239380514, -32.91048488424468, -32.73877534782711, -32.56589396606514, -32.391839309523654, -32.21660988148378, -32.04020411733969, -31.862620383971613, -31.683856979095392, -31.50391213058711, -31.32278399578446, -31.140470660762347, -30.956970139582143, -30.772280373516484, -30.586399230245757, -30.399324503028524, -30.211053909842956, -30.021585092500796, -29.83091561573222, -29.639042966239614, -29.445964551722994, -29.251677699872705, -29.056179657331167, -28.859467588621822, -28.661538575044908, -28.46238961353958, -28.262017615510807, -28.060419405620646, -27.85759172054402, -27.653531207686324, -27.448234423863315, -27.241697833942414, -27.033917809444418, -26.824890627103734, -26.614612467388127, -26.403079412975, -26.190287447185867, -25.976232452374923, -25.76091020827412, -25.544316390291048, -25.32644656776032, -25.107296202148014, -24.88686064520605, -24.66513513707806, -24.442114804355587, -24.217794658081907, -23.992169591705235, -23.76523437897943, -23.536983671811882, -23.3074119980579, -23.076513759261687, -22.844283228343578, -22.61071454723251, -22.37580172444566, -22.13953863261395, -21.901919005953925, -21.662936437688778, -21.422584377416527, -21.180856128429383, -20.937744844984596, -20.693243529529674, -20.447345029884918, -20.20004203638634, -19.9513270789925, -19.701192524361637, -19.449630572903263, -19.1966332558122, -18.942192432091648, -18.686299785576324, -18.428946821964697, -18.170124865874158, -17.909825057932334, -17.648038351922665, -17.38475551200293, -17.11996711001854, -16.853663522937342, -16.58583493043471, -16.316471312663946, -16.045562448249857, -15.77309791255265, -15.499067076251624, -15.223459104311601, -14.9462629553978, -14.667467381821547, -14.387060930105683, -14.105031942278282, -13.82136855801336, -13.536058717762785, -13.24909016704046, -12.960450462048259, -12.670126976863818, -12.378106912444334, -12.084377307742225, -11.78892505327983, -11.491736907584164, -11.192799516955546, -10.892099439122338, -10.589623171430498, -10.285357184334087, -9.979287961088021, -9.671402044711671, -9.361686093489359, -9.050126946515745, -8.736711701084312, -8.421427804073408, -8.104263159916847, -7.785206258278868, -7.464246325209658, -7.141373502369574, -6.8165790599227165, -6.489855649964132, -6.161197608939142, -5.830601319526892, -5.498065645025004, -5.163592452562912, -4.8271872457139295, -4.488859932598243, -4.148625762806015, -3.8065064760379768, -3.46253171813116, -3.1167407973424845, -2.769184877199199, -2.419929734508314, -2.069059256150886, -1.7166799119530254, -1.362926532274673, -1.0079698521554947, -0.6520264815516246, -0.29537226043287945, 0.061639579575227386, 0.4185532915394011, 0.774775176587483, 1.1295224740119951, 1.4710381129080088, 1.780287391129257, 2.0586652419553224, 2.308413898323988, 2.531656038501374, 2.7303593884066433, 2.9063466696002735, 3.0613067221386077, 3.196804720900835, 3.3142914887446393, 3.415111998825367, 3.500513150369578, 3.571650891382768, 3.6295967524705017, 3.6753438480687683, 3.7098123946509998, 3.7338547896921943, 3.748260290150395, 3.753759324757475, 3.751027470408267, 3.7406891191778238, 3.7233208588261864, 3.6994545858352823, 3.6695803657870782, 3.634149050860582, 3.593574657860526, 3.5482365018426467, 3.4984810690945105, 3.4446235977268835, 3.386949312705815, 3.325714232546797, 3.2611454238375392, 3.193440522752429, 3.1227662625894177, 3.0492556316935806, 2.9730031175826657, 2.894057238725805, 2.812409177821646, 2.7279757686529633, 2.6405744705088665, 2.5498883730459703, 2.455426844462143, 2.356534079487797, 2.2527233545131837, 2.1565612038195843, 2.0643469430944688, 1.9761122444782693, 1.8911395666950856, 1.8003556183861695, 1.7122204443486444, 1.6268751157138897, 1.5436232600393522, 1.4618497477889447, 1.3810200456201638, 1.3006316377119036, 1.2201668176522025, 1.1390356307668734, 1.0564844148020085, 0.9714090873026181, 0.8818707444967078, 0.7833694406751446, 0.6911783103960202, 0.611557177493866, 0.5398303894126679, 0.4748966734126452, 0.4175331985014425, 0.3692586586766944, 0.3237890164016611, 0.2673400181372354, 0.20304039778897576, 0.1317649788652729, 0.05320883204466941, -0.03419153997655939, -0.13456217809008506, -0.25869401979900924, -0.3751600801358601, -0.47932263523007484, -0.5794193924858194, -0.678377141710703, -0.7775323154186551, -0.8777535427664738, -0.9797260053549774, -1.0840626301220933, -1.1913637649497908, -1.3022588108249027, -1.4174433398581079, -1.537719191563499, -1.6640424771452764, -1.7975795581123437, -1.9397491692193691, -2.092132858395154, -2.255796058977855, -2.429203106307614, -2.607142193278752, -2.7855704698306027, -2.9639768001723517, -3.143153137712602, -3.3239871403749537, -3.5072273445363296, -3.6934829994343428, -3.8832570598936758, -4.076975627534711, -4.275009822756337, -4.4776915688920305, -4.685325093939283, -4.898195480588766, -5.1165751497478755, -5.340728854667447, -5.570917567420477, -5.807401518673096, -6.050442577448697, -6.300306110415932, -6.557262429191131, -6.821587911735283, -7.093565866962064, -7.373487198022932, -7.661650907777392, -7.958364480796382, -8.263944167471106, -8.578715189055375, -8.903011876820832, -9.237177753388684, -9.581565560940605, -9.93653723694013, -10.302463836132072, -10.679725394482853, -11.068710729023294, -11.469817165386106, -11.883450182928932, -12.31002296523093, -12.749955841834076, -13.20367560445083, -13.671614678450881, -14.154210127242173, -14.651902463763085, -15.165134239028898, -15.69434837295097, -16.239986186938367, -16.802485090548743, -17.38227586668709, -17.979779489580945, -18.595403397616195, -19.22953712890525, -19.882547208445203, -20.535518465602664, -21.15792949228487, -21.752740278597383, -22.322451035691454, -22.869196513980796, -23.39481682128907, -23.900911519515518, -24.388881583611035, -24.859962392653642, -25.31524998914969, -25.755722212489346, -26.18225587864679, -26.595640874178258, -26.996591816015535, -27.385757772019623, -27.763730422565228, -28.131050958337276, -28.4882159456655, -28.8356823422925, -29.173871809372415, -29.503174436818306, -29.82395197675497, -30.136540662258252, -30.44125367464338, -30.738383311465302, -31.028202898480508, -31.31096848161977, -31.58692032917252, -31.856284269597023, -32.11927288644628, -32.37608658865181, -32.6269145717167, -32.87193568312688, -33.111319203408954, -33.34522555268669, -33.57380693125466, -33.79720790155855, -34.01556591801343, -34.229011810273086, -34.43767022485991, -34.641660029467914, -34.84109468372985, -35.03608257979386, -35.226727355664785, -35.413128183934774, -35.59538003822489, -35.773573939414185, -35.947797183501365, -36.11813355274793, -36.28466351158521, -36.44746438860839, -36.60661054584854, -36.7621735363976, -36.91422225135188, -37.062823056947465, -37.208039922679255, -37.34993454111836, -37.48856644007788, -37.62399308771722, -37.75626999112205, -37.88545078885125, -38.011587337893225, -38.13472979544409, -38.2549266958785, -38.372225023254906, -38.486670279669276, -38.59830654974459, -38.70717656152047, -38.813321743987, -38.916782281485254, -39.01759716518126, -39.11580424180581, -39.21144025983368, -39.30454091326656, -39.39514088317058, -39.48327387710602, -39.56897266658105, -39.65226912264848, -39.73319424975697, -39.81177821796022, -39.88805039358168, -39.96203936842358, -40.03377298760394, -40.10327837610084, -40.17058196407498, -40.23570951104125, -40.298686128948724, -40.35953630423351, -40.41828391889657, -40.47495227065889, -40.5295640922455, -40.5821415698414, -40.6327063607635, -40.681279610388, -40.72788196837402, -40.77253360421465, -40.815254222153456, -40.85606307549376, -40.89497898033456, -40.9320203287585, -40.967205101497704, -41.00055088010584, -41.03207485865582, -41.06179385498769, -41.089724321527406, -41.115882355695646, -41.140283709926905, -41.16294380131405, -41.183877720897385, -41.2031002426136, -41.22062583191856, -41.2364686541003, -41.250642582292244, -41.263161205204476, -41.274037834581215, -41.283285512396866, -41.29091701780231, -41.29694487383341, -41.30138135388762, -41.30423848798085, -41.305528068795425, -41.305261657522216, -41.30345058951086, -41.300105979732194, -41.29523872806061, -41.28885952438613, -41.28097885355882, -41.27160700017554, -41.26075405321294, -41.24842991051315, -41.23464428312864, -41.21940669952849, -41.2027265096768, -41.18461288898161, -41.16507484212325, -41.14412120676619, -41.121760657155924, -41.09800170760805, -41.07285271589215, -41.046321886513574, -41.01841727389769, -40.98914678548002, -40.95851818470429, -40.92653909393303, -40.89321699727323, -40.85855924331923, -40.822573047816725, -40.785265496248584, -40.746643546349084, -40.7067140305439, -40.66548365832099, -40.622959018536065, -40.57914658164994, -40.53405270190647, -40.48768361944576, -40.44004546236151, -40.39114424869886, -40.340985888398265, -40.28957618518456, -40.236920838404885, -40.18302544481429, -40.12789550031412, -40.07153640164262, -40.01395344801886, -39.95515184274063, -39.895136694741, -39.83391302010196, -39.77148574352556, -39.707859699767205, -39.64303963502911, -39.577030208315406, -39.50983599275184, -39.44146147686874, -39.371911065850874, -39.30118908275148, -39.229299769674135, -39.15624728892374, -39.08203572412525, -39.00666908131119, -38.93015128998138, -38.85248620413351, -38.77367760326442, -38.69372919334439, -38.61264460776498, -38.53042740826084, -38.44708108580582, -38.36260906148406, -38.27701468733709, -38.19030124718594, -38.102471957432556, -38.01352996783562, -37.9234783622663, -37.832320159441544, -37.74005831363603, -37.64669571537252, -37.552235192093974, -37.456679508813906, -37.360031368747826, -37.26229341392469, -37.16346822578136, -37.063558325737205, -36.96256617575073, -36.86049417885862, -36.757344679698264, -36.65311996501078, -36.547822264130666, -36.441453749455206, -36.33401653690073, -36.22551268634051, -36.11594420202839, -36.00531303300602, -35.893621073496035, -35.78087016327778, -35.667062088051516, -35.552198579784104, -35.436281317044426, -35.319311925320356, -35.20129197732452, -35.08222299328568, -34.9621064412247, -34.840943737218524, -34.718736245650355, -34.59548527944564, -34.47119210029642, -34.34585791887037, -34.21948389500876, -34.09207113790997, -33.96362070630245, -33.83413360860187, -33.70361080305808, -33.572053197888536, -33.43946165139881, -33.305836972091704, -33.17117991876403, -33.03549120058883, -32.89877147718888, -32.761021358694514, -32.62224140579156, -32.482432129755686, -32.34159399247616, -32.19972740646504, -32.05683273485702, -31.91291029139449, -31.76796034040269, -31.621983096750345, -31.474978725801222, -31.32694734334974, -31.177889015548043, -31.027803758818145, -30.876691539753047, -30.72455227500472, -30.571385831161223, -30.417192024609545, -30.261970621386936, -30.10572133702047, -29.948443836352126, -29.790137733352775, -29.630802590922517, -29.470437920680073, -29.30904318273573, -29.14661778545581, -28.983161085209726, -28.818672386108037, -28.6531509397239, -28.48659594480296, -28.319006546960992, -28.150381838364513, -27.980720857401835, -27.810022588338047, -27.63828596095767, -27.465509850191435, -27.2916930757327, -27.11683440163574, -26.94093253590416, -26.763986130061323, -26.58599377870994, -26.406954019075425, -26.226865330535237, -26.045726134135013, -25.863534792089126, -25.680289607266825, -25.495988822666234, -25.31063062087043, -25.124213123492446, -24.93673439060499, -24.748192420154567, -24.558585147363523, -24.367910444117477, -24.17616611833895, -23.983349913347617, -23.78945950720665, -23.594492512057503, -23.39844647344051, -23.20131886960403, -23.003107110802112, -22.80380853858118, -22.603420425054367, -22.40193997216891, -22.1993643109621, -21.995690500809893, -21.790915528668958, -21.585036308313086, -21.37804967956407, -21.16995240751925, -20.9607411817796, -20.750412615676556, -20.53896324550252, -20.326389529745107, -20.112687848330747, -19.89785450187628, -19.68188571095714, -19.46477761539061, -19.246526273540855, -19.027127661651765, -18.80657767320832, -18.58487211833458, -18.36200672323667, -18.1379771296928, -17.91277889460099, -17.686407489594274, -17.458858300729574, -17.23012662826214, -17.00020768651928, -16.76909660388417, -16.536788422904344, -16.303278100543093, -16.068560508590974, -15.832630434256306, -15.595482580960349, -15.357111569359096, -15.117511938623949, -14.876678148008526, -14.634604578741827, -14.391285536283156, -14.146715252986212, -13.90088789122208, -13.653797547016756, -13.405438254267123, -13.15580398960628, -12.904888677999299, -12.65268619915955, -12.399190394888954, -12.144395077457101, -11.88829403915363, -11.630881063159459, -11.372149935908908, -11.112094461136543, -10.850708475827243, -10.58798586832264, -10.323920598870638, -10.058506722948776, -9.791738417740957, -9.523610012201328, -9.254116021211294, -8.983251184408692, -8.711010510363092, -8.437389326878206, -8.162383338332331, -7.885988691118285, -7.608202048425075, -7.329020675820835, -7.048442539352905, -6.766466418193543, -6.4830920342324685, -6.1983202014749486, -5.912152998650068, -5.624593969114829, -5.3356483529629335, -5.045323357270451, -4.753628471673164, -4.460575838049215, -4.166180685055573, -3.8704618407574047, -3.573442339751209, -3.275150145219305, -2.97561901154876, -2.674889519883106, -2.3730103277761048, -2.0700396857286707, -1.7660472888313234, -1.4611165525064527, -1.1553474295600248, -0.8488599245490951, -0.5417985154895014, -0.23433776917453072, 0.0733104543614129, 0.380887653549945, 0.6880764024217296, 0.9944839852134899, 1.2996202478255094, 1.6028670888577488, 1.9034355828742173, 2.2003043201683266, 2.4788657792989843, 2.7281761321716758, 2.9498622123387013, 3.1460083489536745, 3.3185686540157473, 3.469350408362664, 3.6000245153607335, 3.7121362211793776, 3.807114902207976, 3.886282967313325, 3.9508639689881733, 4.001990007162057, 4.040708498499034, 4.0679883746677294, 4.084725765161486, 4.091749213513411, 4.089824469944209, 4.079658898427997, 4.061905531679788, 4.037166803497015, 4.005997984039088, 3.96891033982722, 3.926374036228251, 3.878820795649985, 3.826646319196603, 3.7702124725885713, 3.7098492279101865, 3.645856340331744, 3.578504721806179, 3.508037450312284, 3.43467032071394, 3.358591798645192, 3.279962176660593, 3.198911644642483, 3.1155368610574645, 3.029895426553833, 2.9419973810244198, 2.851792420480298, 2.7591509337842988, 2.663836411774455, 2.565467901931967, 2.463482799991504, 2.357177536207724, 2.2462097197885473, 2.1454619604592438, 2.0493950372432335, 1.957685178496399, 1.859556427325119, 1.7650693513171272, 1.6744213026914658, 1.5867090754881017, 1.501163813431179, 1.4171564276617667, 1.3341346290306904, 1.2515704658681428, 1.168909733630129, 1.085506426433055, 1.0005104859458458, 0.9126234766841033, 0.8194114485891638, 0.7145602193998575, 0.626644743064326, 0.5487742473205167, 0.4784125113613438, 0.4150321516891548, 0.3601817430735347, 0.30496878435254743, 0.25248746349620593, 0.1910990863857009, 0.1225098185482254, 0.04693688450309203, -0.03652635300974444, -0.1305090589608435, -0.24224675262656872, -0.3520105520301047, -0.46065891020440625, -0.5625059272159788, -0.66172341123622, -0.760303607602905, -0.8593433780609199, -0.9596180543347109, -1.0617701656217664, -1.1663942655017852, -1.2740871491170722, -1.3854862202534304, -1.5013063806890041, -1.6223817472092141, -1.7497158430294892, -1.884535443637422, -2.02830467885644, -2.1824962019383123, -2.3474592749070875, -2.520088238455662, -2.694978970248141, -2.8696435516127963, -3.044328436693063, -3.2199111817995445, -3.3972138960486173, -3.5769096361269357, -3.759544807259343, -3.945572034810566, -4.135376418108075, -4.329294629991257, -4.527628698800277, -4.730656105783727, -4.9386373333083124, -5.151821609089012, -5.370451333748653, -5.5947655180909965, -5.825002456805482, -6.06140180425463, -6.304206177636327, -6.553662386134278, -6.810022364369445, -7.073543873032424, -7.344491016654408, -7.623134617553288, -7.9097524760535265, -8.204629539276159, -8.508057994332308, -8.820337296649642, -9.141774139491291, -9.472682367438974, -9.813382833371392, -10.164203196010565, -10.525477652914526, -10.897546601559052, -11.280756219594492, -11.675457952823843, -12.082007898072906, -12.500766065410732, -12.93209550193415, -13.376361256552213, -13.833929162076814, -14.30516440687113, -14.790429864321487, -15.290084142989961, -15.804479314101021, -16.33395826584445, -16.878851624917043, -17.43947417500537, -18.016120688966087, -18.609061075276376, -19.21853471982555, -19.80881401979799, -20.37111730873658, -20.908108906701344, -21.422047203328066, -21.91486633693915, -22.38823790225399, -22.84361834359269, -23.282285890670227, -23.7053697238502, -24.113873276705146, -24.508693054075813, -24.890633976806, -25.260422005601658, -25.61871461119456, -25.966109523417597, -26.303152092753642, -26.630341524142693, -26.948136187256484, -27.256958165151783, -27.55719717070837, -27.849213935056166, -28.133343152490394, -28.40989605084454, -28.679162643966798, -28.941413713089414, -29.196902555954832, -29.44586653614523, -29.688528459834654, -29.925097802910816, -30.155771807885845, -30.38073646710948, -30.600167406376734, -30.81423068100272, -31.023083494744444, -31.226874850526144, -31.42574614071927, -31.619831683709275, -31.809259212611558, -31.99415032125605, -32.17462087192784, -32.35078136880065, -32.522737300532455, -32.690589455082794, -32.85443420946149, -33.01436379680868, -33.17046655294072, -33.32282714426085, -33.471526778732645, -33.616643401430714, -33.75825187602717, -33.896424153433195, -34.03122942869173, -34.16273428710742, -34.29100284050581, -34.41609685442386, -34.53807586696342, -34.65699729996365, -34.772916563094554, -34.88588715141357, -34.99596073688453, -35.10318725430548, -35.2076149820627, -35.30929061808523, -35.40825935134491, -35.504564929216805, -35.5982497209935, -35.68935477781345, -35.7779198892539, -35.8639836368078, -35.94758344445665, -36.02875562652732, -36.10753543301046, -36.183957092504336, -36.258053852931724, -36.32985802017381, -36.39940099474749, -36.46671330664608, -36.5318246484557, -36.59476390685125, -36.655559192566294, -36.71423786892712, -36.77082657903634, -36.825351271679224, -36.87783722603043, -36.92830907522418, -36.97679082885396, -37.023305894459554, -37.06787709805684, -37.11052670376222, -37.15127643256025, -37.1901474802582, -37.22716053467366, -37.26233579209009, -37.29569297302318, -37.32725133732923, -37.357029698690965, -37.385046438510415, -37.411319519239, -37.43586649717297, -37.45870453473912, -37.479850412296365, -37.499320539475036, -37.51713096607688, -37.53329739255603, -37.54783518010145, -37.560759360335766, -37.572084644653934, -37.58182543321148, -37.589995823582676, -37.596609619102956, -37.60168033690678, -37.605221215676494, -37.607245223115264, -37.60776506315394, -37.606793182905804, -37.60434177937617, -37.60042280594144, -37.595047978604974, -37.5882287820391, -37.57997647542112, -37.57030209807476, -37.55921647492275, -37.5467302217572, -37.53285375033705, -37.517597273319936, -37.5009708090309, -37.482984186080266, -37.46364704783104, -37.44296885672481, -37.42095889847171, -37.39762628610667, -37.372979963920294, -37.34702871126759, -37.31978114625793, -37.29124572933345, -37.26143076673695, -37.23034441387635, -37.197994678585445, -37.16438942428865, -37.129536373071694, -37.09344310865954, -37.05611707930909, -37.017565600615136, -36.977795858234344, -36.93681491053305, -36.89462969115509, -36.851247011518275, -36.80667356323989, -36.7609159204903, -36.713980542284474, -36.66587377470511, -36.61660185306509, -36.56617090401067, -36.514586947564055, -36.4618558991115, -36.407983571335116, -36.35297567609352, -36.29683782624894, -36.23957553744661, -36.18119422984514, -36.121699229799326, -36.06109577149987, -35.99938899856652, -35.936583965600256, -35.87268563969449, -35.80769890190486, -35.74162854868075, -35.67447929325847, -35.60625576701885, -35.536962520808125, -35.466604026225085, -35.39518467687284, -35.322708789579906, -35.24918060558862, -35.1746042917118, -35.098983941461505, -35.022323576145666, -34.94462714593905, -34.865898530923616, -34.78614154210522, -34.7053599224008, -34.62355734760258, -34.540737427314866, -34.45690370586992, -34.37205966321626, -34.286208715787595, -34.199354217345295, -34.11149945980339, -34.02264767402885, -33.93280203062217, -33.84196564067759, -33.750141556523694, -33.657332772443205, -33.563542225376814, -33.46877279560469, -33.37302730741295, -33.27630852974078, -33.17861917681092, -33.079961908744295, -32.980339332155076, -32.87975400073271, -32.778208415806475, -32.675705026896246, -32.5722462322454, -32.467834379341205, -32.36247176542008, -32.25616063795738, -32.1489031951463, -32.04070158635934, -31.93155791259945, -31.82147422693627, -31.710452534929736, -31.598494795042065, -31.485602919036275, -31.371778772363424, -31.257024174536372, -31.14134089949416, -31.02473067595257, -30.90719518774454, -30.788736074149842, -30.669354930213046, -30.54905330705071, -30.42783271214885, -30.305694609648334, -30.182640420622217, -30.058671523342273, -29.93378925353393, -29.807994904624223, -29.68128972797836, -29.553674933127603, -29.425151687986425, -29.295721119063412, -29.165384311660233, -29.034142310062833, -28.901996117725083, -28.76894669744126, -28.634994971512345, -28.500141821902577, -28.364388090388974, -28.227734578701774, -28.090182048656093, -27.951731222278845, -27.812382781923525, -27.672137370381222, -27.530995590982478, -27.38895800769088, -27.246025145190814, -27.102197488968383, -26.957475485383203, -26.811859541735682, -26.6653500263253, -26.51794726850506, -26.369651558725927, -26.220463148578194, -26.07038225082388, -25.919409039425826, -25.767543649568246, -25.61478617767341, -25.461136681410746, -25.30659517970292, -25.151161652725076, -24.994836041899266, -24.837618249884557, -24.679508140561442, -24.520505539013357, -24.36061023150204, -24.19982196544141, -24.038140449365397, -23.875565352893947, -23.71209630669521, -23.547732902445752, -23.382474692786634, -23.216321191280418, -23.04927187236365, -22.88132617129952, -22.7124834841293, -22.54274316762505, -22.372104539239473, -22.200566877060414, -22.028129419762745, -21.85479136656682, -21.680551877195164, -21.50541007183654, -21.329365031112385, -21.152415796048384, -20.97456136805391, -20.795800708906086, -20.616132740744586, -20.435556346075767, -20.254070367785385, -20.07167360916591, -19.888364833956565, -19.704142766398824, -19.519006091308412, -19.332953454168425, -19.145983461239577, -18.95809467969812, -18.769285637796397, -18.579554825052806, -18.3889006924722, -18.19732165280204, -18.004816080824106, -17.811382313688863, -17.61701865129329, -17.421723356710146, -17.22549465666889, -17.028330742097182, -16.830229768726095, -16.63118985776627, -16.43120909665953, -16.2302855399167, -16.028417210045006, -15.825602098577004, -15.621838167207454, -15.417123349051138, -15.211455550028465, -15.004832650396317, -14.79725250643164, -14.588712952285913, -14.379211802024553, -14.168746851869463, -13.957315882663314, -13.74491666257469, -13.531546950071373, -13.317204497180693, -13.101887053071254, -12.885592367981122, -12.668318197529636, -12.450062307448578, -12.230822478775163, -12.010596513549974, -11.789382241072646, -11.56717752477074, -11.343980269744, -11.119788431052127, -10.894600022824314, -10.66841312827526, -10.441225910724535, -10.213036625725016, -9.98384363441943, -9.75364541826172, -9.522440595250586, -9.290227937845147, -9.057006392754058, -8.822775102810349, -8.587533431175347, -8.351280988145122, -8.114017660870498, -7.875743646341903, -7.636459488040394, -7.396166116711185, -7.154864895783301, -6.912557672030705, -6.66924683216159, -6.424935366124329, -6.179626938038225, -5.933325965800422, -5.686037710586758, -5.437768377659679, -5.188525230134344, -4.938316717629204, -4.68715262206187, -4.435044223249158, -4.182004487452354, -3.928048282586904, -3.6731926245216586, -3.4174569597512745, -3.1608634907791213, -2.90343755184094, -2.6452080442046673, -2.3862079422769136, -2.1264748842443217, -1.8660518641187434, -1.6049880460503207, -1.343339726852343, -1.081171479234106, -0.8185575167131424, -0.5555833322679758, -0.2923476774082854, -0.028964967802172358, 0.2344317722152921, 0.4976872783132217, 0.7606195310379665, 1.0230140915085943, 1.2846169257820954, 1.5451252166687834, 1.8041754585163339, 2.061327827754376, 2.3160453616476846, 2.5676657612776808, 2.81536249041857, 3.058089959610833, 3.294504382980532, 3.505304465823825, 3.6901752220401822, 3.8510595535701935, 3.98985663251364, 4.10832235733481, 4.208076253190235, 4.290612397897796, 4.3573095214783635, 4.40944016417133, 4.448178990078776, 4.474610349275547, 4.4897351689551055, 4.494477243486929, 4.48968898423923, 4.476156682406172, 4.454605331544847, 4.425703050894249, 4.390065145624026, 4.348257835728654, 4.300801681220874, 4.248174727363552, 4.190815389660936, 4.129125094031179, 4.063470682493362, 3.9941865885037675, 3.9215767779658304, 3.8459164411914677, 3.7674534064598704, 3.6864092257826484, 3.60297985602072, 3.5173358206660623, 3.429621685584333, 3.339954609590108, 3.248421628333411, 3.155075181491849, 3.0599261714997503, 2.962933504869091, 2.86398856615026, 2.762892439428636, 2.6593234897656908, 2.552796549837807, 2.442640242076478, 2.3281535893340366, 2.2096268977522953, 2.1060129800821255, 2.007599492623812, 1.9136427275726133, 1.8136397559511688, 1.7173120303819538, 1.6247673245273666, 1.5351287086573737, 1.4476449543496732, 1.3616874018376202, 1.276690269385651, 1.1920982126344215, 1.107310547336453, 1.0216012575426976, 0.9339692374111865, 0.8427814138284998, 0.7446391799322255, 0.6414586795287927, 0.5567688957358439, 0.4810930822786785, 0.41266114569339785, 0.351642429815158, 0.3010023174410081, 0.2501098488022323, 0.1945243642117567, 0.13068782363589138, 0.05983923444090989, -0.018083400313576675, -0.10432573008659624, -0.20227331683681865, -0.3213800497900286, -0.42835700872065224, -0.5339870520697679, -0.6345101981747365, -0.7330368397707827, -0.8311861205097547, -0.9299292250015612, -1.0299865348350057, -1.131973508272812, -1.2364718043521818, -1.3440743439269724, -1.4554219472101446, -1.57124027558667, -1.6923826075347825, -1.8198806895194128, -1.9549930357401875, -2.0991825006543867, -2.253730558153622, -2.418214491086958, -2.588482263226709, -2.759647735020131, -2.930291460358293, -3.100975699688509, -3.2725723378806753, -3.445842349441683, -3.6214005139593866, -3.799745129404897, -3.981289268441564, -4.1663846132440785, -4.355338650774727, -4.5484270983235, -4.7459030394516635, -4.948003772168165, -5.154956024010293, -5.366979964312386, -5.5842923049241175, -5.8071086946617365, -6.035645559088929, -6.270121501682189, -6.510758357798212, -6.75778197433018, -7.011422773123387, -7.271916144105301, -7.539502703678418, -7.814428445297598, -8.096944802176358, -8.387308635464802, -8.685782157088731, -8.992632791577503, -9.308132978420872, -9.632559913383833, -9.966195224892354, -10.309324579401897, -10.662237207878155, -11.025225343190765, -11.39858355684396, -11.782607980888566, -12.177595398822097, -12.58384218688579, -13.001643084050142, -13.431289765789652, -13.87306919269783, -14.327261700764312, -14.794138794173971, -15.273960595582238, -15.766972900426115, -16.273403773257655, -16.793459611858612, -17.327320591708634, -17.87513538605539, -18.435029732448086, -18.966239610281686, -19.471663376064356, -19.953735436204163, -20.414523889372933, -20.855803278883794, -21.27910978575098, -21.68578377332237, -22.077003051085747, -22.45380921539454, -22.817128748792765, -23.167790097634924, -23.50653762612822, -23.834043117303235, -24.150915327822506, -24.45770798430819, -24.75492652084437, -25.043033791561747, -25.322454942548333, -25.59358158945352, -25.856775417967796, -26.112371301699046, -26.360680014204732, -26.601990597922484, -26.836572441596946, -27.064677108875273, -27.286539953556634, -27.502381551151764, -27.71240897165979, -27.916816914571292, -28.11578872390476, -28.309497298420776, -28.498105909953665, -28.681768940952338, -28.860632550773577, -29.034835278967407, -29.204508592692793, -29.36977738446068, -29.530760425610513, -29.687570780240748, -29.84031618373199, -29.98909938949731, -30.134018487164287, -30.275167195014177, -30.41263512918291, -30.546508051842455, -30.676868100337085, -30.803793999033527, -30.92736125545191, -31.0476423420841, -31.164706865155004, -31.27862172145857, -31.38945124428157, -31.497257339330677, -31.60209961148968, -31.704035483150992, -31.80312030479923, -31.899407458455457, -31.99294845454191, -32.08379302266967, -32.17198919681121, -32.25758339527618, -32.34062049587395, -32.42114390661195, -32.49919563225171, -32.57481633701471, -32.648045403706924, -32.71892098951075, -32.78748007867057, -32.85375853228036, -32.917791135368255, -32.9796116414533, -33.0392528147396, -33.0967464701001, -33.15212351098929, -33.205413965414685, -33.25664702008727, -33.30585105286365, -33.35305366358214, -33.39828170338885, -33.44156130264575, -33.48291789750033, -33.52237625519664, -33.55996049820008, -33.595694127202385, -33.629600043070276, -33.66170056779717, -33.692017464510535, -33.72057195658974, -33.74738474593915, -33.77247603046468, -33.79586552079335, -33.81757245627735, -33.837615620318395, -33.856013355048354, -33.87278357539949, -33.88794378259175, -33.901511077071525, -33.91350217092466, -33.92393339979152, -33.93282073430792, -33.94017979109468, -33.94602584331836, -33.95037383084132, -33.95323836998261, -33.95463376290765, -33.95457400666078, -33.95307280186247, -33.950143561080516, -33.94579941689431, -33.9400532296642, -33.932917595018985, -33.9244048510732, -33.914527085387626, -33.90329614168324, -33.89072362631959, -33.87682091454576, -33.86159915653666, -33.8450692832207, -33.82724201191038, -33.808127851740124, -33.78773710892379, -33.7660798918346, -33.743166115918385, -33.719005508445164, -33.69360761310531, -33.666981794455836, -33.63913724222602, -33.61008297548216, -33.57982784666305, -33.54838054548604, -33.51574960273222, -33.481943393912196, -33.44697014281982, -33.41083792497741, -33.373554670973114, -33.335128169699324, -33.29556607149394, -33.25487589118454, -33.21306501104557, -33.17014068366516, -33.12611003473019, -33.08098006572671, -33.034757656565255, -32.987449568128795, -32.939062444746476, -32.88960281659855, -32.83907710205192, -32.78749160993033, -32.73485254172048, -32.68116599371591, -32.62643795910266, -32.57067432998685, -32.51388089936553, -32.45606336304475, -32.39722732150478, -32.33737828171623, -32.27652165890511, -32.214662778271965, -32.151806876665006, -32.08795910420871, -32.02312452589007, -31.95730812310118, -31.890514795143865, -31.822749360693773, -31.754016559226077, -31.684321052406453, -31.613667425443296, -31.542060188408435, -31.469503777521137, -31.396002556402582, -31.321560817295765, -31.246182782257367, -31.169872604316826, -31.09263436860891, -31.01447209347763, -30.935389731550888, -30.855391170791584, -30.774480235519928, -30.69266068741305, -30.609936226478336, -30.52631049200456, -30.44178706348858, -30.356369461540616, -30.270061148767084, -30.182865530632625, -30.094785956300672, -30.0058257194549, -29.915988059100503, -29.825276160347048, -29.733693155171764, -29.641242123165487, -29.547926092260862, -29.45374803944371, -29.358710891446574, -29.26281752542855, -29.16607076963535, -29.068473404048646, -28.970028161016423, -28.870737725870985, -28.77060473753142, -28.669631789093444, -28.56782142840479, -28.46517615862732, -28.36169843878799, -28.257390684314032, -28.152255267559013, -28.046294518316035, -27.939510724317937, -27.831906131729, -27.723482945623463, -27.614243330452684, -27.504189410505333, -27.393323270353434, -27.281646955291002, -27.169162471761673, -27.055871787779026, -26.941776833334288, -26.826879500798704, -26.711181645314444, -26.594685085179268, -26.477391602221942, -26.3593029421697, -26.240420815007106, -26.12074689532997, -26.00028282268972, -25.879030201931084, -25.75699060352362, -25.634165563886402, -25.510556585706215, -25.386165138249037, -25.260992657665845, -25.135040547293602, -25.008310177950342, -24.880802888222775, -24.752519984751768, -24.623462742512142, -24.49363240508646, -24.363030184935834, -24.231657263665895, -24.099514792288478, -23.966603891480585, -23.83292565183842, -23.698481134130517, -23.563271369544115, -23.427297359932783, -23.290560078058736, -23.15306046783313, -23.014799444556918, -22.875777895157142, -22.735996678421802, -22.595456625236867, -22.454158538818277, -22.312103194946367, -22.169291342199745, -22.025723702187882, -21.88140096978528, -21.736323813367186, -21.590492875045648, -21.443908770907825, -21.29657209125582, -21.148483400849475, -20.999643239153446, -20.850052120585868, -20.699710534771363, -20.548618946800513, -20.396777797492813, -20.24418750366566, -20.09084845841, -19.936761031373678, -19.78192556905148, -19.626342395083928, -19.47001181056669, -19.31293409436841, -19.155109503460594, -18.996538273259656, -18.83722061798087, -18.677156731007656, -18.51634678527544, -18.354790933671193, -18.192489309451695, -18.029442026680307, -17.865649180683985, -17.7011108485318, -17.535827089538348, -17.369797945790676, -17.20302344270344, -17.035503589602094, -16.867238380339, -16.698227793940035, -16.52847179529063, -16.35797033585609, -16.186723354445867, -16.014730778021516, -15.84199252255014, -15.668508493909558, -15.494278588846962, -15.319302695996615, -15.143580696957882, -14.967112467440993, -14.789897878483256, -14.611936797743171, -14.433229090874848, -14.253774622991088, -14.073573260221238, -13.892624871368778, -13.710929329679782, -13.528486514726657, -13.345296314417718, -13.161358627140865, -12.976673364054529, -12.791240451531108, -12.605059833772172, -12.418131475601111, -12.230455365452068, -12.042031518569196, -11.8528599804316, -11.662940830422038, -11.47227418576119, -11.280860205724451, -11.088699096169917, -10.895791114396225, -10.702136574364648, -10.507735852309086, -10.312589392771692, -10.116697715098457, -9.920061420431898, -9.722681199248543, -9.5245578394845, -9.325692235304407, -9.126085396568966, -8.925738459065743, -8.724652695571828, -8.522829527826516, -8.32027053949826, -8.116977490240558, -7.9129523309399, -7.708197220274949, -7.5027145427111135, -7.296506928077541, -7.0895772728839255, -6.881928763556, -6.673564901790246, -6.464489532247684, -6.254706872838577, -6.044221547880998, -5.833038624443432, -5.621163652234883, -5.408602707438529, -5.195362440948283, -4.98145013152184, -4.766873744439262, -4.551641996332759, -4.335764426951746, -4.119251478732763, -3.902114585176772, -3.6843662691823735, -3.4660202526573802, -3.247091578943289, -3.027596749825317, -2.8075538791887182, -2.586982865730202, -2.365905587533711, -2.144346121815176, -1.9223309937235848, -1.699889458796677, -1.4770538245265568, -1.253859817539639, -1.0303470041700835, -0.8065592737803137, -0.58254539613049, -0.3583596665079734, -0.13406265535793627, 0.09027791704511348, 0.31458615552631874, 0.538776783033734, 0.7627537123527175, 0.9864083468710981, 1.2096175473810584, 1.432241184267201, 1.6541191709409722, 1.8750678427721326, 2.0948755027399115, 2.3132968957281412, 2.5300462905776198, 2.7447887316591495, 2.9571288527705675, 3.1665963986099364, 3.3726272293051696, 3.5745380192009506, 3.771491979171168, 3.9624515158041937, 4.146111397377438, 4.3176522985648775, 4.465354154292559, 4.590578171977796, 4.6951588639156725, 4.780809912846357, 4.849108235490244, 4.901504387705988, 4.939333092710016, 4.963822787893552, 4.976104256089186, 4.977218444717588, 4.968123563711675, 4.949701540648042, 4.92276390102577, 4.888057132792034, 4.846267586717219, 4.798025957834823, 4.743911387563103, 4.684455221287407, 4.620144451740693, 4.551424874404975, 4.478703977136519, 4.402353582007106, 4.322712252709937, 4.240087475335508, 4.154757613355735, 4.0669736286091895, 3.9769605479217285, 3.8849186384507064, 3.7910242323156487, 3.6954301101654528, 3.5982653110556018, 3.499634177659989, 3.3996143647276167, 3.298253423253281, 3.19556340403217, 3.091512670508214, 2.986013725573352, 2.8789053005141083, 2.769926342069293, 2.658679900492985, 2.544592024413539, 2.4269141537512766, 2.305031203055259, 2.1800581330822997, 2.073584230769219, 1.972606900223649, 1.8762145307184583, 1.7740411521412978, 1.6756411608522703, 1.5810609599398915, 1.489429023266047, 1.399994489808741, 1.3121191983500238, 1.225219099515227, 1.138710348737539, 1.0519476717167362, 0.9641295120270897, 0.8741087317147148, 0.7799080581107769, 0.6770155836890253, 0.5800840865030352, 0.4970327668901063, 0.4225288303504234, 0.3552822042539614, 0.2959559533369003, 0.2467977357120844, 0.19982472672739762, 0.14240393479117833, 0.07706302352813305, 0.0048019364897065675, -0.07459570377518163, -0.1625932234893642, -0.26312452068948006, -0.38671794551407646, -0.5036460999759657, -0.6075025707280391, -0.706800166374092, -0.8045837071396533, -0.9022150597085936, -1.0005626228943207, -1.1002990213373154, -1.2020156094349106, -1.3062827292181778, -1.4136906204871567, -1.5248848098990464, -1.640603393237985, -1.7617209149699715, -1.889298938746356, -2.024623524250452, -2.169123493879524, -2.323756578816048, -2.487098403058711, -2.6542428421306776, -2.821269483166286, -2.987636776058839, -3.1540842183881637, -3.321445889383741, -3.490417529946456, -3.6615563644355196, -3.835313648714836, -4.012063610081689, -4.192124863682031, -4.375775796887081, -4.563265714533306, -4.754823062209046, -4.9506616034052096, -5.150985122078261, -5.355991029429063, -5.565873134267288, -5.78082376255033, -6.001035364595196, -6.226701717019868, -6.458018803925318, -6.6951854446181125, -6.93840372110988, -7.187879247377906, -7.443821312215527, -7.706442919873319, -7.975960745462114, -8.252595016799058, -8.536569329666182, -8.82811039948324, -9.127447749813063, -9.434813334735253, -9.750441090557846, -10.074566409731634, -10.407425528374313, -10.749254816471145, -11.100289958313883, -11.460765008163207, -11.830911304301551, -12.210956221677325, -12.601121740433527, -13.001622804313486, -13.412665438567835, -13.834444592474378, -14.267141665610131, -14.710921670561227, -15.16592997598058, -15.632288564829535, -16.11009172960977, -16.599401112713753, -17.100239981057857, -17.599169367684773, -18.07179360020854, -18.52074761919583, -18.948249974621426, -19.356189283205676, -19.746188941583508, -20.119656415714097, -20.4778213671116, -20.82176555360622, -21.15244657139931, -21.47071691891749, -21.77733946042107, -22.073000085878057, -22.35831816362178, -22.633855238055297, -22.900122319184515, -23.157586032663254, -23.40667384053388, -23.647778498553233, -23.881261882132335, -24.107458286770047, -24.326677288522443, -24.539206234075195, -24.74531241735847, -24.945244989590975, -25.139236641572335, -25.32750509054498, -25.5102543986593, -25.687676145768926, -25.85995047575229, -26.02724703263053, -26.189725800342643, -26.34753785801924, -26.50082606092298, -26.649725655799283, -26.7943648382014, -26.934865258335403, -27.071342481124734, -27.203906405452273, -27.33266164693036, -27.457707887994037, -27.579140198674093, -27.69704933098764, -27.81152198955939, -27.92264108077161, -28.030485942495794, -28.135132556219563, -28.236653743194935, -28.335119346053425, -28.430596397183105, -28.523149275030384, -28.612839849366992, -28.699727616462898, -28.783869825006146, -28.86532159353693, -28.944136020082208, -29.020364284614864, -29.094055744906626, -29.16525802628591, -29.234017105767972, -29.30037739098487, -29.364381794302222, -29.426071802475573, -29.485487542172567, -29.542667841658012, -29.59765028890961, -29.650471286415307, -29.701166102885363, -29.749768922081333, -29.796312888963616, -29.840830153330234, -29.88335191111635, -29.923908443499787, -29.962529153961786, -29.999242603425966, -30.034076543596825, -30.067057948612973, -30.09821304511463, -30.12756734082435, -30.155145651725462, -30.180972127926562, -30.20507027828798, -30.227462993878493, -30.248172570332482, -30.26722072917085, -30.28462863814184, -30.300416930636136, -30.314605724229434, -30.32721463839785, -30.338262811452445, -30.34776891673464, -30.35575117810692, -30.36222738478652, -30.3672149055432, -30.370730702304435, -30.372791343191192, -30.373413015017377, -30.372611535278185, -30.370402363652484, -30.366800613043143, -30.361821060176972, -30.35547815579026, -30.347786034411325, -30.338758523767865, -30.328409153829842, -30.316751165510457, -30.30379751903793, -30.289560902009963, -30.274053737156063, -30.257288189806594, -30.239276175094584, -30.220029364893314, -30.19955919450537, -30.17787686911351, -30.154993370002376, -30.130919460562925, -30.105665692086536, -30.079242409360237, -30.051659756069107, -30.02292768001425, -29.993055938156573, -29.96205410148808, -29.929931559745555, -29.896697525964246, -29.862361040884164, -29.82693097721413, -29.790416043755222, -29.752824789394147, -29.714165606968834, -29.674446737010882, -29.633676271371375, -29.591862156733086, -29.549012198015898, -29.505134061672656, -29.460235278889574, -29.41432324868718, -29.36740524092607, -29.319488399226994, -29.270579743798898, -29.22068617418877, -29.169814471945013, -29.117971303208925, -29.065163221227817, -29.0113966687941, -28.95667798061938, -28.901013385637686, -28.844409009244508, -28.786870875472804, -28.72840490910777, -28.66901693774522, -28.608712693790462, -28.54749781640554, -28.485377853399328, -28.42235826307144, -28.35844441600227, -28.29364159679866, -28.227955005789877, -28.161389760682926, -28.093950898169727, -28.025643375496607, -27.95647207199091, -27.886441790547845, -27.815557259082603, -27.743823131941745, -27.67124399127857, -27.597824348399598, -27.52356864506965, -27.448481254791314, -27.372566484047905, -27.29582857351917, -27.2182716992667, -27.139899973887356, -27.060717447644937, -26.980728109568357, -26.899935888530763, -26.81834465429524, -26.7359582185421, -26.652780335870343, -26.568814704774976, -26.484064968601423, -26.39853471648215, -26.312227484245998, -26.22514675531321, -26.13729596156384, -26.048678484192507, -25.959297654542475, -25.869156754920123, -25.778259019393673, -25.686607634571676, -25.59420574036863, -25.501056430752346, -25.407162754475834, -25.312527715794534, -25.217154275165356, -25.12104534993831, -25.024203815026123, -24.92663250356636, -24.828334207568638, -24.729311678545976, -24.629567628139174, -24.52910472872603, -24.427925614017912, -24.326032879650015, -24.223429083753224, -24.120116747522196, -24.016098355770282, -23.91137635747491, -23.805953166313326, -23.699831161189458, -23.59301268675105, -23.485500053898615, -23.377295540289165, -23.26840139082445, -23.158819818140245, -23.04855300308123, -22.937603095173312, -22.825972213088047, -22.71366244509932, -22.600675849531573, -22.48701445521056, -22.372680261898026, -22.257675240728588, -22.14200133463567, -22.02566045877958, -21.908654500962754, -21.790985322048158, -21.672654756369635, -21.55366461213672, -21.434016671842738, -21.313712692661696, -21.192754406849343, -21.071143522136666, -20.94888172212335, -20.82597066666774, -20.702411992277447, -20.578207312496442, -20.45335821829207, -20.327866278440872, -20.20173303991497, -20.074960028265576, -19.947548748010117, -19.819500683017118, -19.690817296895652, -19.561500033380316, -19.431550316725048, -19.300969552090965, -19.169759125945404, -19.037920406455104, -18.905454743890314, -18.77236347102667, -18.638647903554222, -18.504309340493304, -18.369349064608542, -18.233768342835553, -18.097568426712037, -17.960750552811767, -17.823315943191545, -17.685265805842263, -17.546601335148825, -17.40732371236221, -17.267434106077918, -17.12693367272668, -16.985823557076944, -16.844104892746493, -16.701778802734, -16.55884639995449, -16.415308787799106, -16.271167060705277, -16.126422304742814, -15.981075598222874, -15.835128012320736, -15.688580611721624, -15.541434455284778, -15.39369059673584, -15.24535008537617, -15.096413966823672, -14.946883283775843, -14.796759076805918, -14.646042385186005, -14.494734247744034, -14.342835703752693, -14.190347793859058, -14.037271561047225, -13.88360805164577, -13.729358316374162, -13.574523411440355, -13.419104399681864, -13.263102351759448, -13.106518347407494, -12.949353476739544, -12.79160884161507, -12.63328555707378, -12.474384752836553, -12.314907574881635, -12.154855187096382, -11.994228773013232, -11.83302953763403, -11.671258709347079, -11.50891754194299, -11.346007316737092, -11.182529344805436, -11.018484969337116, -10.853875568118797, -10.688702556151823, -10.522967388416397, -10.356671562789224, -10.189816623125685, -10.022404162520683, -9.854435826755042, -9.685913317943546, -9.516838398400463, -9.347212894732468, -9.177038702177654, -9.006317789212236, -8.835052202435971, -8.663244071762072, -8.490895615934207, -8.318009148391207, -8.14458708351017, -7.970631943249626, -7.796146364230547, -7.62113310528497, -7.445595055509765, -7.269535242862422, -7.092956843347729, -6.915863190837585, -6.73825778757687, -6.560144315432246, -6.381526647947955, -6.2024088632709145, -6.022795258024299, -5.842690362208518, -5.662098955222672, -5.48102608309986, -5.29947707707079, -5.117457573574313, -4.934973535847014, -4.752031277238895, -4.56863748642335, -4.384799254673605, -4.200524105417063, -4.015820026286667, -3.8306955039205044, -3.64515956178775, -3.4592218013600746, -3.272892446970865, -3.08618239476382, -2.8991032661664926, -2.7116674663973437, -2.5238882485605827, -2.3357797839753807, -2.147357239455778, -1.958636862371978, -1.769636074422361, -1.5803735751889612, -1.3908694567040334, -1.2011453304279407, -1.0112244682562466, -0.8211319594243074, -0.63089488546284, -0.44054251571225045, -0.2501065263091116, -0.05962124605477994, 0.13087606685012085, 0.3213449125040493, 0.5117411958974597, 0.7020168258303454, 0.8921192583365491, 1.0819909752706627, 1.2715688868338122, 1.4607836445031706, 1.6495588479376173, 1.8378101258444532, 2.025444066250715, 2.2123569658895725, 2.398433361092649, 2.583544293167783, 2.7675452490509582, 2.9502737020773924, 3.1315461566854315, 3.3111545728392273, 3.4888620081910395, 3.6643972645465417, 3.8374482541702806, 4.007653702110158, 4.174592659614208, 4.337771100048064, 4.4966045694292776, 4.650395415070145, 4.798302428373995, 4.939299658136695, 5.072119407249063, 5.195171520289185, 5.301939325801862, 5.388150578929271, 5.4553378645586665, 5.505156254260497, 5.539133454924201, 5.558670288434065, 5.565051297022203, 5.559454710090515, 5.542961429608363, 5.516563134396736, 5.481169605698503, 5.437615362449592, 5.386665682411324, 5.3290220750659385, 5.265327263495367, 5.196169725169447, 5.122087835259828, 5.043573650596305, 4.961076367595089, 4.875005483040651, 4.785733682422042, 4.693599476385829, 4.598909601410988, 4.501941195787575, 4.402943755895917, 4.302140870017763, 4.199731716758647, 4.0958923014210304, 3.990776385104241, 3.8845160359885162, 3.7772216976273296, 3.668981621845597, 3.559860448662427, 3.449896624682664, 3.339098221131901, 3.2274365205747118, 3.1148364509411532, 3.0011625077248834, 2.8861982017948256, 2.76961656644167, 2.6509406656244816, 2.529506003771176, 2.404509823083953, 2.275561407587927, 2.159431746589987, 2.0497054850984795, 1.94582766102252, 1.8355480598781504, 1.7302140962354344, 1.6299106832122334, 1.5335156062809967, 1.4400934514364419, 1.348891513305984, 1.2592628645491044, 1.170604848858678, 1.0823027065457909, 0.9936601670802317, 0.9040848417537592, 0.8120737843005209, 0.715316683739306, 0.6082986779596236, 0.5158297914730325, 0.4346642232107138, 0.3616279494631726, 0.2959646331205857, 0.23899836372469302, 0.18178485808011813, 0.12889602128937486, 0.06688918526243676, -0.0023138554866908826, -0.07836750771937069, -0.162053620191306, -0.2557960446897371, -0.3662816251708582, -0.47648548874926056, -0.585154858076903, -0.6862530256170601, -0.7842384759378475, -0.8811973559555567, -0.9782470544511221, -1.0761594372757857, -1.175560781086291, -1.2770195682573942, -1.3810970211421862, -1.4883843798041005, -1.599537531960308, -1.7153151843326178, -1.8366240864993704, -1.9645672752573473, -2.10045777432717, -2.2456214766511953, -2.400404385835326, -2.562016018274957, -2.7253278000349592, -2.8878169174649346, -3.0496525050647216, -3.2116536291932407, -3.374589741058876, -3.5390825800315873, -3.705627496199366, -3.8746258226276504, -4.04641073810899, -4.221266014783882, -4.399439473005211, -4.5811527691431, -4.76660864713863, -4.9559963962322815, -5.14949600109365, -5.347281310217344, -5.549522449318702, -5.756387644620869, -5.968044580732709, -6.184661390179068, -6.4064073514312545, -6.6334533563077285, -6.865972194793999, -7.10413869440169, -7.348129742276403, -7.598124210594713, -7.854302799717342, -8.116847808304248, -8.385942835281911, -8.661772415457175, -8.944521587362148, -9.234375389594652, -9.531518279832643, -9.836133468563409, -10.148402158064279, -10.468502674748308, -10.796609481538614, -11.132892054393082, -11.477513605042123, -11.830629628961924, -12.192386254704497, -12.562918366863327, -12.942347470997378, -13.330779263165617, -13.72830086129625, -14.13497764787746, -14.550849665055951, -14.975927492309015, -15.410187524287487, -15.853566550264201, -16.305955517213686, -16.742705554550163, -17.15562850646158, -17.547083082907253, -17.91906134876234, -18.27326356213467, -18.61115450687458, -18.934006610262077, -19.24293343988831, -19.538916074601616, -19.822824115276866, -20.095432607070848, -20.357435803518644, -20.609458462901916, -20.85206519600089, -21.085768260207377, -21.31103410384875, -21.52828889684403, -21.737923232911587, -21.940296149885764, -22.135738585050046, -22.324556359455443, -22.507032767280645, -22.683430832212764, -22.853995281660104, -23.01895428070542, -23.1785209605539, -23.332894770443133, -23.48226267728874, -23.626800233490194, -23.766672530163817, -23.902035050467358, -24.033034435507144, -24.159809173521847, -24.28249022152466, -24.40120156731154, -24.516060738681055, -24.627179265793664, -24.734663101832982, -24.838613006472364, -24.939124896087147, -25.03629016416642, -25.130195974966497, -25.220925533086277, -25.308558331329923, -25.393170378962093, -25.47483441221143, -25.553620088683846, -25.6295941671649, -25.70282067412661, -25.773361058122997, -25.841274333136134, -25.906617211817657, -25.9694442294908, -26.029807859675582, -26.087758621842866, -26.143345182020933, -26.19661444682815, -26.247611651448917, -26.29638044202343, -26.342962952878572, -26.387399878986507, -26.429730544014504, -26.469992964278717, -26.508223908910093, -26.544458956492925, -26.578732548435774, -26.611078039294785, -26.641527744262063, -26.670112984012643, -26.69686412708677, -26.721810629971475, -26.744981075031756, -26.76640320643272, -26.786103964177958, -26.804109516384887, -26.820445289911135, -26.835135999428857, -26.84820567504312, -26.859677688545965, -26.8695747783825, -26.877919073411093, -26.88473211552249, -26.89003488118834, -26.893847802000884, -26.896190784255225, -26.897083227636273, -26.896544043053574, -26.894591669674448, -26.89124409119788, -26.88651885141025, -26.880433069061294, -26.873003452098438, -26.864246311288515, -26.854177573262856, -26.842812793013966, -26.83016716587072, -26.816255538981093, -26.801092422325326, -26.784691999280103, -26.767068136764376, -26.748234394973718, -26.728204036739356, -26.70699003651498, -26.684605089017378, -26.66106161753769, -26.63637178193256, -26.61054748631432, -26.583600386455565, -26.555541896918, -26.526383197916754, -26.49613524193658, -26.464808760106923, -26.432414268349994, -26.398962073308404, -26.364462278063165, -26.328924787651097, -26.29235931439299, -26.25477538303561, -26.21618233571646, -26.176589336762753, -26.13600537732747, -26.094439279871292, -26.051899702493866, -26.00839514312338, -25.963933943569863, -25.918524293446488, -25.8721742339656, -25.824891661611108, -25.77668433169541, -25.72755986180679, -25.677525735144528, -25.626589303755463, -25.57475779166614, -25.522038297922908, -25.468437799537917, -25.4139631543471, -25.358621103781193, -25.302418275555606, -25.245361186282654, -25.187456244003265, -25.128709750647594, -25.069127904426818, -25.008716802150058, -24.94748244148175, -24.885430723132657, -24.82256745298785, -24.758898344177204, -24.694429019090233, -24.62916501133152, -24.563111767625806, -24.496274649671076, -24.42865893594115, -24.360269823440966, -24.29111242941373, -24.221191793005403, -24.150512876883457, -24.079080568816718, -24.00689968321115, -23.933974962608794, -23.860311079146285, -23.78591263597969, -23.710784168672728, -23.63493014654951, -23.558354974013866, -23.481062991838762, -23.403058478422352, -23.32434565101569, -23.244928666918284, -23.164811624648287, -23.08399856508406, -23.00249347258099, -22.92030027605843, -22.837422850065735, -22.753865015824836, -22.669630542243773, -22.58472314691558, -22.499146497087736, -22.412904210616517, -22.32599985689669, -22.238436957773484, -22.150218988436382, -22.061349378289616, -21.971831511811505, -21.881668729388455, -21.790864328140117, -21.699421562722378, -21.60734364611554, -21.514633750401487, -21.42129500751895, -21.327330510011656, -21.232743311755517, -21.137536428679606, -21.041712839468996, -20.945275486257618, -20.84822727530748, -20.75057107767868, -20.652309729883793, -20.553446034538396, -20.453982760992947, -20.35392264596248, -20.253268394140168, -20.152022678805665, -20.05018814242357, -19.947767397231797, -19.844763025824445, -19.741177581725307, -19.637013589953796, -19.5322735475823, -19.426959924291285, -19.32107516291297, -19.214621679972687, -19.10760186621967, -19.000018087158317, -18.89187268356982, -18.783167972030775, -18.67390624542784, -18.564089773464996, -18.45372080317272, -18.34280155940743, -18.231334245349693, -18.119321043004202, -18.006764113689226, -17.893665598530422, -17.780027618947795, -17.6658522771462, -17.55114165659924, -17.435897822535328, -17.320122822423993, -17.2038186864596, -17.086987428046168, -16.969631044282472, -16.8517515164485, -16.733350810491803, -16.61443087751861, -16.494993654283945, -16.37504106368224, -16.254575015248218, -16.13359740565186, -16.01211011920367, -15.890115028361611, -15.767613994240998, -15.644608867131476, -15.521101487021804, -15.397093684122774, -15.272587279406157, -15.147584085142388, -15.022085905450915, -14.896094536857827, -14.76961176886094, -14.642639384503726, -14.515179160961313, -14.387232870135211, -14.258802279259692, -14.129889151520535, -14.000495246687107, -13.87062232175645, -13.740272131611993, -13.609446429697101, -13.478146968706858, -13.34637550129392, -13.214133780793508, -13.08142356196612, -12.94824660176301, -12.81460466010807, -12.680499500708226, -12.545932891879419, -12.410906607403193, -12.275422427408213, -12.139482139276856, -12.00308753858037, -11.86624043004929, -11.728942628570627, -11.5911959602195, -11.45300226333025, -11.314363389598157, -11.175281205228075, -11.03575759211743, -10.895794449088847, -10.755393693166486, -10.614557260898183, -10.473287109733555, -10.331585219453169, -10.1894535936555, -10.046894261304299, -9.903909278337656, -9.76050072934603, -9.616670729318145, -9.47242142546554, -9.327754999120451, -9.18267366772044, -9.03717968688136, -8.891275352559347, -8.744963003314426, -8.598245022676556, -8.451123841621861, -8.30360194116351, -8.155681855068355, -8.00736617270386, -7.8586575420193805, -7.709558672679577, -7.560072339348523, -7.4102013851438775, -7.259948725259278, -7.109317350781694, -6.958310332698254, -6.806930826120571, -6.655182074727721, -6.5030674154508405, -6.350590283408679, -6.197754217117677, -6.0445628639871165, -5.891019986123978, -5.737129466465142, -5.582895315261512, -5.428321676939573, -5.273412837359923, -5.11817323150967, -4.962607451653143, -4.806720255977442, -4.650516577766565, -4.494001535144831, -4.337180441429628, -4.180058816142344, -4.022642396726124, -3.8649371510223327, -3.7069492905686015, -3.5486852847841486, -3.390151876105651, -3.2313560961603325, -3.072305283054547, -2.9130070998719115, -2.7534695544832446, -2.5937010207786853, -2.4337102614480868, -2.2735064524372324, -2.113099209238323, -1.9524986151708175, -1.7917152518410744, -1.630760231975424, -1.4696452348532836, -1.30838254459109, -1.1469850915432975, -0.9854664971364432, -0.8238411224733092, -0.6621241210896649, -0.5003314962916934, -0.3384801635582707, -0.1765880185400085, -0.014674011265566753, 0.14724177275606734, 0.3091380237714842, 0.47099211047267503, 0.6327799731506201, 0.7944760061774596, 0.9560529285251045, 1.117481640844437, 1.27873106740994, 1.4397679809847725, 1.600556808359179, 1.7610594139715945, 1.9212348585985062, 2.0810391296167574, 2.240424838749998, 2.3993408825166074, 2.5577320597510282, 2.715538639562076, 2.8726958718635855, 3.0291334311228986, 3.1847747821432377, 3.339536454460326, 3.4933272091602268, 3.6460470784747723, 3.797586254214558, 3.9478237956625346, 4.0966261206857215, 4.24384523503878, 4.389316643541876, 4.53285687214881, 4.674260510741135, 4.813296661112478, 4.949704640741961, 5.0831887472322395, 5.213411825811678, 5.33998729583448, 5.462469170847583, 5.580339433801154, 5.692991878230355, 5.799711155949612, 5.8996452136813895, 5.991768440309203, 6.074831484558689, 6.147291484780601, 6.207212718642179, 6.249412252655784, 6.274537132268788, 6.284145412251789, 6.279697821844686, 6.262529164895269, 6.233858408262824, 6.194799025510616, 6.1463682989535355, 6.089495670384965, 6.02503025568307, 5.953747622265387, 5.876355914068578, 5.793501396943059, 5.705773487475895, 5.613709319925814, 5.517797898840674, 5.418483878894614, 5.3161710080781805, 5.211225265675448, 5.103977722021179, 4.994727142799066, 4.883742356292442, 4.771264397232649, 4.657508435403274, 4.542665490221545, 4.4269039237648204, 4.310370692968253, 4.193192325981091, 4.075475566204622, 3.95730759854494, 3.8387557327592714, 3.7198663646582837, 3.600662961278711, 3.481142711094546, 3.361272580464512, 3.240978347548959, 3.120143640517236, 2.998573204658308, 2.8759650283344103, 2.7519240644466985, 2.625874336721939, 2.4970486601986197, 2.3646512239326767, 2.228912935020397, 2.110750242192392, 1.9994592323860307, 1.894058838932678, 1.7826399240665347, 1.6761172249257938, 1.574753356427515, 1.4770449431679642, 1.38238602676008, 1.2897005702226902, 1.1985425982453013, 1.1082983020966315, 1.0183154204424467, 0.9278293723998532, 0.835816083652715, 0.7406492402713383, 0.6390388003827701, 0.5213984664824909, 0.4344246294816459, 0.35682460490228024, 0.28687749823771086, 0.22474711356343546, 0.1735601870819888, 0.1222304961621645, 0.06558903985206033, 0.0007637770551292509, -0.0709639085486352, -0.1496199085766753, -0.23551399988189567, -0.33370145240793325, -0.4525235323510834, -0.5586676913625048, -0.6630694778290608, -0.7621125686093689, -0.8588773013310197, -0.9549650019792334, -1.051329610743275, -1.1486706362485006, -1.247577769006954, -1.3486009621019832, -1.452294184136445, -1.5592502480426516, -1.670135190089196, -1.7857273925149149, -1.9069633177942509, -2.034979309450047, -2.1710844048767486, -2.3163889857235107, -2.470375105587176, -2.6290598735997217, -2.7878837942842063, -2.945565410411018, -3.1025511122136082, -3.2598318229751175, -3.418037864097414, -3.5777061226516444, -3.7392765167522906, -3.9031048383656617, -4.069486230828532, -4.238671610992201, -4.410879486885416, -4.58630458794319, -4.765124277041921, -4.947503377323238, -5.133597831009386, -5.323557473501688, -5.517528123022643, -5.715653133447832, -5.918074523327195, -6.124933769245794, -6.336372333573606, -6.552531981513589, -6.773554930635578, -6.9995838658095515, -7.2307618441028065, -7.467232107207554, -7.709137813317582, -7.956621695502464, -8.209825649941806, -8.46889025409629, -8.73395421240107, -9.005153724523442, -9.282621769514394, -9.566487297107505, -9.856874315609026, -10.153900863926841, -10.457677853413, -10.768307762773382, -11.085883166991495, -11.41048507828708, -11.74218107403067, -12.081023182235077, -12.427045491405494, -12.780261445419356, -13.140660778360013, -13.50820603599425, -13.882828621596616, -14.264424292325847, -14.652848018727788, -15.04790810280983, -15.447731925610185, -15.823539450635423, -16.1778503373512, -16.512773816935276, -16.830096061812146, -17.131345098252694, -17.41783991881529, -17.69072824260992, -17.951015966113147, -18.19959042988656, -18.437239013757036, -18.66466415517419, -18.882495595197692, -19.091300451513817, -19.291591570782973, -19.483834505601514, -19.6684533825018, -19.845835868595103, -20.016337400126194, -20.180284802423056, -20.337979404760123, -20.489699733497556, -20.635703851102214, -20.776231396227484, -20.911505370171177, -21.041733707131332, -21.167110659346026, -21.28781802305642, -21.404026227052846, -21.51589530213809, -21.623575747025054, -21.727209303851637, -21.826929654566197, -21.922863047812957, -22.015128864598708, -22.103840129882617, -22.18910397626256, -22.271022065123617, -22.349690969914423, -22.42520252562738, -22.49764414804733, -22.567099125903134, -22.633646888676353, -22.697363252499237, -22.758320646286016, -22.81658832001023, -22.8722325368149, -22.9253167504615, -22.975901769462613, -23.024045909098604, -23.069805132390133, -23.113233180991827, -23.154381696876193, -23.19330033558094, -23.23003687172893, -23.264637297450278, -23.29714591428623, -23.32760541908769, -23.356056984388715, -23.38254033367397, -23.407093811940033, -23.42975445189923, -23.450558036148667, -23.46953915560844, -23.486731264491418, -23.502166732056796, -23.515876891372237, -23.52789208529487, -23.53824170986269, -23.54695425527061, -23.55405734459277, -23.559577770406854, -23.56354152944893, -23.565973855432883, -23.56689925014996, -23.566341512957084, -23.56432376875444, -23.560868494548004, -23.555997544682608, -23.549732174821504, -23.542093064756557, -23.53310034011019, -23.522773592998927, -23.511131901716226, -23.498193849490267, -23.483977542373438, -23.46850062630964, -23.451780303420303, -23.43383334756461, -23.414676119197622, -23.39432457958082, -23.37279430436417, -23.35010049658486, -23.32625799910717, -23.30128130653474, -23.275184576620266, -23.247981641201406, -23.219686016686428, -23.19031091410645, -23.159869248765155, -23.128373649499544, -23.095836467570134, -23.06226978520314, -23.02768542379815, -22.992094951817894, -22.95550969237204, -22.917940730517895, -22.879398920281577, -22.839894891416204, -22.79943905591067, -22.758041614261632, -22.715712561509918, -22.672461693065124, -22.62829861031752, -22.583232726052763, -22.537273269672554, -22.4904292922355, -22.442709671320944, -22.394123115726014, -22.344678170004503, -22.294383218845766, -22.24324649131445, -22.191276064941626, -22.13847986968651, -22.084865691762875, -22.03044117734549, -21.975213836152758, -21.919191044918257, -21.862380050747873, -21.804787974376154, -21.74642181331438, -21.68728844490577, -21.627394629283987, -21.566747012243976, -21.50535212801979, -21.443216401986813, -21.38034615327486, -21.31674759731109, -21.252426848282536, -21.187389921529174, -21.121642735869386, -21.055191115854964, -20.988040793962604, -20.92019741272695, -20.851666526807545, -20.78245360500436, -20.71256403221364, -20.642003111331984, -20.57077606510672, -20.498888037940844, -20.426344097642062, -20.353149237132545, -20.279308376111896, -20.204826362672673, -20.129707974880965, -20.05395792231017, -19.977580847539183, -19.90058132761176, -19.82296387546064, -19.744732941293783, -19.665892913949545, -19.58644812221781, -19.50640283612823, -19.42576126820945, -19.344527574716658, -19.26270585683372, -19.180300161843387, -19.097314484274335, -19.0137527670201, -18.929618902433003, -18.844916733396037, -18.759650054367594, -18.673822612407115, -18.58743810817642, -18.50050019692286, -18.41301248943608, -18.324978552993567, -18.236401912279295, -18.147286050287793, -18.057634409210557, -17.96745039130431, -17.876737359742414, -17.78549863945067, -17.693737517926916, -17.6014572460483, -17.50866103886006, -17.41535207635502, -17.321533504234992, -17.227208434663062, -17.132379947002498, -17.0370510885421, -16.941224875211866, -16.84490429228788, -16.748092295084643, -16.650791809639372, -16.553005733385426, -16.454736935817543, -16.355988259146027, -16.25676251894444, -16.15706250478965, -16.05689098089242, -15.956250686720196, -15.85514433761563, -15.75357462540805, -15.651544219014951, -15.549055765043553, -15.446111888381312, -15.34271519278539, -15.238868261466479, -15.134573657665973, -15.029833925232012, -14.924651589190706, -14.819029156313507, -14.712969115682574, -14.606473939251547, -14.499546082409067, -14.392187984533408, -14.28440206955114, -14.17619074649187, -14.067556410042089, -13.958501441102085, -13.849028207337184, -13.739139063732894, -13.628836353150781, -13.518122406883824, -13.406999545214607, -13.295470077973398, -13.183536305100526, -13.071200517211183, -12.95846499616175, -12.845332015620507, -12.731803841642927, -12.617882733250035, -12.503570943011164, -12.38887071763525, -12.273784298563141, -12.158313922570764, -12.04246182237495, -11.926230227248418, -11.809621363644133, -11.692637455824098, -11.575280726499436, -11.457553397482476, -11.339457690341996, -11.220995827076063, -11.102170030792221, -10.98298252640099, -10.86343554132349, -10.743531306208965, -10.62327205566794, -10.502660029024323, -10.38169747107508, -10.260386632875436, -10.138729772534415, -10.016729156033122, -9.894387058060046, -9.771705762868548, -9.648687565153276, -9.525334770950613, -9.401649698564148, -9.277634679510676, -9.153292059496506, -9.028624199417846, -8.90363347639178, -8.77832228481697, -8.652693037464816, -8.52674816660488, -8.40049012516224, -8.273921387916207, -8.147044452732668, -8.01986184183839, -7.892376103137966, -7.764589811573279, -7.636505570530431, -7.508126013294256, -7.3794538045557125, -7.250491641970169, -7.1212422577742025, -6.991708420462145, -6.86189293652255, -6.731798652239475, -6.601428455566569, -6.470785278069548, -6.339872096945109, -6.208691937121147, -6.077247873440222, -5.945543032932704, -5.813580597180138, -5.681363804779881, -5.548895953911533, -5.41618040501257, -5.2832205835717305, -5.150019983038306, -5.016582167863174, -4.882910776674165, -4.749009525595448, -4.614882211713598, -4.480532716708506, -4.345965010647628, -4.21118315596207, -4.076191311609762, -3.940993737437676, -3.805594798758292, -3.6699989711477126, -3.5342108454826158, -3.398235133229677, -3.262076672002915, -3.125740431405399, -2.989231519172852, -2.852555187641534, -2.7157168405530347, -2.5787220402303848, -2.4415765151359956, -2.3042861678461146, -2.1668570834671224, -2.029295538520978, -1.89160801033504, -1.753801186969643, -1.6158819777192548, -1.477857524230578, -1.3397352122809236, -1.2015226842602607, -1.0632278524139664, -0.9248589128984938, -0.7864243607138113, -0.6479330055735584, -0.5093939887894551, -0.370816801247915, -0.23221130256086295, -0.09358774148599348, 0.045043222278079414, 0.18367049481717343, 0.32228252311977074, 0.4608672684526299, 0.5994121778528831, 0.7379041535694476, 0.8763295202736726, 1.01467398984595, 1.1529226235191896, 1.291059791137572, 1.429069127264581, 1.566933483843784, 1.70463487908377, 1.8421544422043594, 1.9794723536284256, 2.1165677801739573, 2.253418804730048, 2.3900023498457106, 2.5262940945976053, 2.662268384006291, 2.797898130195344, 2.933154704371278, 3.0680078185889674, 3.2024253961176363, 3.336373429070576, 3.469815821771773, 3.602714218104877, 3.735027810851858, 3.8667131307134963, 3.997723812366391, 4.128010334491747, 4.257519730224852, 4.386195263897548, 4.513976069256959, 4.640796743513989, 4.766586890597576, 4.89127060578578, 5.014765892449969, 5.136983999883975, 5.257828669041731, 5.377195270365468, 5.494969814608085, 5.611027813493725, 5.7252329619619795, 5.837435607330349, 5.947470962558298, 6.055157010402573, 6.160292031824831, 6.262651674594097, 6.361985455164074, 6.458012556632079, 6.5504167450817, 6.6388401717799415, 6.722875753587587, 6.8020577196524, 6.875849765547525, 6.943630045810844, 7.0046719297274604, 7.058118990872559, 7.102952012075425, 7.13794471796695, 7.1616032418762785, 7.172081531095702, 7.167312449029904, 7.147493969390151, 7.114139014545178, 7.068642247930622, 7.012268723508714, 6.946167586631209, 6.871383167764073, 6.78886468201415, 6.699474875613085, 6.603997767476207, 6.503145598394462, 6.397565082796653, 6.287843044152588, 6.174511503876395, 6.058052283957968, 5.9389011755664, 5.817451719000701, 5.6940586344768445, 5.569040937953958, 5.4426847715787305, 5.315245973867376, 5.186952410362442, 5.058006081001685, 4.9285850152511, 4.79884495994756, 4.668920857125523, 4.5389280990761485, 4.4089636494394435, 4.279106459480347, 4.14941874059595, 4.019944082164589, 3.890706586341946, 3.7617131624617315, 3.6329471541420033, 3.504365180277236, 3.3758908964335212, 3.247405739828388, 3.1187354465975723, 2.989630517322604, 2.8597382210022277, 2.7285643514517632, 2.5954313703471596, 2.4594890851665077, 2.3200734487101964, 2.178499854517892, 2.058925866133343, 1.9463545270698033, 1.8396132445638376, 1.7272053595385306, 1.6196323689105405, 1.5168417613098504, 1.4178015356965903, 1.3216367641740017, 1.2276142224307764, 1.1350747672913934, 1.0433732744619084, 0.9518125029132716, 0.8606411105078643, 0.7664914469135675, 0.6684313607649982, 0.5618894745148596, 0.4615831146557634, 0.376096893692979, 0.2996864039023532, 0.23092380210303817, 0.1703936584660123, 0.12057597749131872, 0.0727225694593899, 0.014691807726397072, -0.05121203611348175, -0.12390779281463433, -0.203545815879831, -0.2915114499396724, -0.38626219143609536, -0.508070743265162, -0.6128093562396033, -0.7156711859151181, -0.8136253616715949, -0.9094463211877296, -1.0046158453305403, -1.1000401585498685, -1.1963931272771695, -1.2942473065493634, -1.3941391963854939, -1.4966108725285263, -1.6022437324096506, -1.711692216465668, -1.8257223036957646, -1.9452558801571669, -2.0714076839579962, -2.2054390820095198, -2.348320034050864, -2.4991870576879767, -2.6538116679834, -2.8080248081737245, -2.960904580529174, -3.1130601700809923, -3.2652759615245732, -3.4182094928318985, -3.5723781545416027, -3.728190167231216, -3.8859737777170382, -4.045999012942928, -4.208479119428607, -4.373627479316657, -4.541621856270206, -4.712609107612596, -4.88673325954044, -5.064125909976512, -5.244913648170188, -5.4292182003472345, -5.617157885271151, -5.808848607855167, -6.004404531807618, -6.203938496694213, -6.407562231858545, -6.61538640813533, -6.827520558257608, -7.044072888901243, -7.265150000503541, -7.490856525450099, -7.721294690871381, -7.956563808331576, -8.196759690034115, -8.441973988250071, -8.692293452777383, -8.947799099098527, -9.208565278181844, -9.474658636968238, -9.746136956745314, -10.023047854644151, -10.305427331317738, -10.593298145164937, -10.886667990897976, -11.185527456766028, -11.489847730789025, -11.799578022065162, -12.114642657375935, -12.434937807121175, -12.760327786681486, -13.090640869736715, -13.425664538729327, -13.765140083400746, -14.10875644101394, -14.451754609882757, -14.772623879073368, -15.073705346868705, -15.356958677141469, -15.624043147358833, -15.876377921637763, -16.115187687523854, -16.341537765160503, -16.556361503443647, -16.760481931539836, -16.954629068055787, -17.139453903658847, -17.315539804176954, -17.483411891150297, -17.643544820353203, -17.796369279463924, -17.942277452797832, -18.08162764636407, -18.21474822526774, -18.34194098405882, -18.46348404645534, -18.579634372118235, -18.69062993346944, -18.796691613979654, -18.898024870156032, -18.99482119211618, -19.08725939171669, -19.17550674241559, -19.25971999115432, -19.340046259342596, -19.41662384741099, -19.489582955220712, -19.559046328812638, -19.625129842472656, -19.687943023830055, -19.747589528639022, -19.804167571001422, -19.857770314022094, -19.908486225248165, -19.956399400683853, -20.001589860704343, -20.04413382078445, -20.084103939607125, -20.121569546813465, -20.15659685239718, -20.189249139512842, -20.21958694227434, -20.247668209945445, -20.27354845876773, -20.297280912547667, -20.318916632995432, -20.33850464071784, -20.356092027666833, -20.37172406176892, -20.38544428438779, -20.39729460121319, -20.40731536710447, -20.415545465377047, -20.422022381963558, -20.42678227485575, -20.429860039180934, -20.4312893682495, -20.431102810868587, -20.429331825201295, -20.426006829418974, -20.421157249377444, -20.414811563529394, -20.406997345265236, -20.397741302857995, -20.38706931717674, -20.37500647732308, -20.36157711431935, -20.34680483298899, -20.330712542133558, -20.313322483128193, -20.29465625702532, -20.27473485026764, -20.25357865909314, -20.23120751271638, -20.207640695350893, -20.18289696715572, -20.156994584160593, -20.1299513172296, -20.101784470128415, -20.0725108967336, -20.042147017444762, -20.01070883483713, -19.978211948599547, -19.9446715697989, -19.91010253450305, -19.874519316802726, -19.837936041261344, -19.800366494824953, -19.76182413821656, -19.72232211684931, -19.681873271275585, -19.640490147201987, -19.598185005086027, -19.554969829343655, -19.51085633717883, -19.46585598705809, -19.419979986847604, -19.37323930163032, -19.325644661211903, -19.277206567339924, -19.227935300640485, -19.17784092729449, -19.1269333054599, -19.075222091451145, -19.0227167456906, -18.96942653844115, -18.91536055532808, -18.86052770266182, -18.804936712568516, -18.748596147938215, -18.69151440719949, -18.633699728924967, -18.575160196277036, -18.515903741303504, -18.455938149081714, -18.39527106172636, -18.333909982259385, -18.271862278353698, -18.20913518595263, -18.14573581276953, -18.08167114167314, -18.016948033967058, -17.95157323256031, -17.885553365041414, -17.818894946652144, -17.751604383170893, -17.683687973705517, -17.615151913401462, -17.546002296067226, -17.476245116719056, -17.40588627405261, -17.33493157283981, -17.26338672625223, -17.191257358122154, -17.118549005135637, -17.04526711895901, -16.971417068313183, -16.89700414098077, -16.822033545762963, -16.746510414381017, -16.670439803322804, -16.593826695642548, -16.516676002710227, -16.43899256591539, -16.36078115832482, -16.282046486296544, -16.20279319105438, -16.12302585021706, -16.04274897929538, -15.961967033145674, -15.880684407388214, -15.798905439793517, -15.71663441163231, -15.633875548993595, -15.550633024070658, -15.466910956416418, -15.382713414171299, -15.298044415261984, -15.21290792857038, -15.12730787508078, -15.041248128996136, -14.954732518836705, -14.867764828507134, -14.780348798346868, -14.69248812615428, -14.60418646819469, -14.51544744017969, -14.426274618236018, -14.336671539847561, -14.246641704784915, -14.156188576011406, -14.06531558057807, -13.974026110497173, -13.882323523602205, -13.790211144392861, -13.697692264863672, -13.604770145321169, -13.511448015183497, -13.417729073772826, -13.323616491087904, -13.2291134085698, -13.13422293985731, -13.038948171524755, -12.943292163815146, -12.847257951363206, -12.750848543902785, -12.654066926974286, -12.556916062613668, -12.45939889004047, -12.361518326334696, -12.263277267107032, -12.164678587161461, -12.065725141152873, -11.966419764234098, -11.866765272703287, -11.766764464642293, -11.666420120548771, -11.565735003966434, -11.46471186211066, -11.363353426487437, -11.261662413512116, -11.159641525123194, -11.057293449393889, -10.954620861142383, -10.851626422536102, -10.748312783699241, -10.644682583318033, -10.540738449240152, -10.436482999081202, -10.331918840825535, -10.22704857342982, -10.121874787426817, -10.016400065527735, -9.910626983231705, -9.804558109432634, -9.698196007026539, -9.591543233528961, -9.484602341686493, -9.377375880099398, -9.269866393844092, -9.162076425098888, -9.054008513779273, -8.945665198174398, -8.837049015590289, -8.72816250300167, -8.619008197705362, -8.509588637987289, -8.39990636379175, -8.289963917401574, -8.17976384412798, -8.069308693008166, -7.958601017512377, -7.84764337626329, -7.736438333766097, -7.624988461149718, -7.513296336920563, -7.401364547729569, -7.2891956891542575, -7.176792366494218, -7.064157195580382, -6.951292803604893, -6.8382018299625384, -6.724886927113675, -6.611350761465437, -6.497596014269156, -6.3836253825437534, -6.269441580015607, -6.15504733808255, -6.040445406802845, -5.92563855590769, -5.810629575838814, -5.695421278813041, -5.580016499918758, -5.464418098234713, -5.348628957987369, -5.232651989736413, -5.116490131593351, -5.0001463504803, -4.883623643419342, -4.766925038865835, -4.6500535980797935, -4.533012416542194, -4.415804625412499, -4.298433393032233, -4.180901926483442, -4.063213473190477, -3.9453713225807108, -3.827378807797774, -3.709239307473737, -3.5909562475667594, -3.4725331032566698, -3.3539734009122935, -3.2352807201286975, -3.1164586958363816, -2.9975110204924578, -2.8784414463478427, -2.759253787805156, -2.6399519238629168, -2.52053980065584, -2.4010214340946163, -2.2814009126073294, -2.1616823999917134, -2.041870138384776, -1.9219684513482336, -1.8019817470878416, -1.6819145217991716, -1.5617713631611938, -1.4415569539756392, -1.3212760759624367, -1.2009336137203757, -1.0805345588628765, -0.9600840143382158, -0.8395871989425852, -0.7190494520353745, -0.5984762384774558, -0.47787315379008627, -0.3572459295645413, -0.236600439118846, -0.11594270343285339, 0.004721102634139319, 0.12538464382000264, 0.24604141761382123, 0.36668474706852494, 0.48730777324966945, 0.607903447297245, 0.7284645220815892, 0.8489835434190529, 0.9694528408254824, 1.0898645177765172, 1.2102104414407506, 1.3304822318516418, 1.4506712504835286, 1.5707685881839275, 1.6907650524285158, 1.8106511538432823, 1.9304170919455084, 2.050052740051475, 2.1695476292849905, 2.2888909316274186, 2.408071441936386, 2.527077558854546, 2.6458972645300687, 2.7645181030531103, 2.8829271575137825, 3.001111025569431, 3.1190557934068335, 3.236747007970826, 3.3541696473148512, 3.471308088919552, 3.58814607581573, 3.704666680314604, 3.820852265150228, 3.93668444180089, 4.052144025744418, 4.167210988368038, 4.281864405228779, 4.396082400329211, 4.509842086026869, 4.623119498167561, 4.735889525968265, 4.848125836138728, 4.9598007906604185, 5.070885357568499, 5.1813490140156615, 5.291159640795546, 5.400283407404533, 5.508684646601506, 5.616325717290589, 5.723166854391303, 5.829166004181481, 5.934278643387832, 6.038457580051004, 6.141652733912354, 6.24381089372747, 6.344875448531087, 6.444786089401735, 6.543478477746845, 6.640883875467926, 6.7369287316066675, 6.831534219152045, 6.924615714580528, 7.016082211384495, 7.105835657228894, 7.193770202418657, 7.279771344980432, 7.363714954712897, 7.445466154933718, 7.524878036139296, 7.601790170145347, 7.676026886158878, 7.747395261222937, 7.81568276593887, 7.88065449153048, 7.942049865025235, 7.99957873404319, 8.052916669204823, 8.101699287384877, 8.14551533842378, 8.183898214874585, 8.216315429079291, 8.242155439451018, 8.260710975367799, 8.271157671447925, 8.272526319075459, 8.26366627999089, 8.243196420897002, 8.209438034701884, 8.160321097384708, 8.095375851298071, 8.018518910498198, 7.93127638747661, 7.834878499146382, 7.730425835921872, 7.618911550354199, 7.501232441240962, 7.37819823500362, 7.250539812453278, 7.118916549186643, 6.983922882801467, 6.846094201290162, 6.705912133186287, 6.563809308599428, 6.420173650762163, 6.27535224960655, 6.129654862051027, 5.983357077740333, 5.836703183691922, 5.6899087565896505, 5.543163006948546, 5.396630894940028, 5.250455032911202, 5.1047573842582175, 4.959640761939247, 4.815190121717472, 4.671473634632501, 4.528543509036671, 4.386436513460731, 4.24517412587997, 4.1047625316893, 3.9651907926779986, 3.8264316828954206, 3.688430085267815, 3.551111668186913, 3.4143670018321552, 3.2780436896336034, 3.141932030560067, 3.005744212859236, 2.869084678327231, 2.731410264112956, 2.5919894960854037, 2.4499316413565815, 2.304641399917104, 2.1579268361629564, 2.03521825575686, 1.9198417776944456, 1.7981065702113472, 1.6826428252396752, 1.5734236826346504, 1.4691013853717159, 1.368570178203191, 1.2709531441855697, 1.1755105271330253, 1.0815689421397099, 0.9884596672108317, 0.895446830829132, 0.8016136915137421, 0.7056267143130105, 0.6050966121291544, 0.4941353291985973, 0.39824188577206354, 0.31472799690653447, 0.23985976487818594, 0.17270372599617376, 0.11441086100319793, 0.05599756103626028, 0.0030435618572397876, -0.05911203672415252, -0.12838108795866524, -0.20431218394537684, -0.2875782954429726, -0.38042546954484824, -0.4890871858569373, -0.5984822617490082, -0.7059277728170197, -0.8052271980994126, -0.9010131748708773, -0.9951404308194152, -1.0882461602302953, -1.1818458725888636, -1.277562608408506, -1.3748843891594786, -1.4743510222111897, -1.576502149551826, -1.6819291431481924, -1.7913089950549197, -1.9054442628701613, -2.0253053082674564, -2.1520430895176523, -2.2868232801917796, -2.429976174786292, -2.5790456264769395, -2.729242044947013, -2.878032670546197, -3.0255033192351917, -3.1724064124159517, -3.319451983455441, -3.467205072663358, -3.6161056809334515, -3.7665003715586574, -3.918667531829851, -4.072835613990257, -4.229184219353405, -4.387892154732899, -4.5491071660656255, -4.712949979103095, -4.879537995009741, -5.048977176754723, -5.221368261875022, -5.3968068220382, -5.575384407815394, -5.75718928882665, -5.942306910671042, -6.130820125787721, -6.322809243897478, -6.518351936820324, -6.717523023782491, -6.920394155882183, -7.127033412414946, -7.337504816800328, -7.551867776002895, -7.770176443809696, -7.992479005909584, -8.218816882201379, -8.449223839858341, -8.68372500879514, -8.922335789328873, -9.165060640178949, -9.411891732896985, -9.662807456853375, -9.917770756557447, -10.176727280507004, -10.439603317636, -10.706303493969692, -10.976708197924447, -11.250670697690927, -11.528013908326392, -11.808526759134821, -12.091960103219355, -12.378022101158239, -12.666372997553939, -12.956619194332692, -13.248306504838402, -13.526863827880803, -13.786001192237839, -14.027745744960939, -14.253801306605546, -14.465615553139116, -14.664430356160388, -14.851320150909043, -15.027221624806888, -15.192957002636161, -15.349252532939063, -15.49675332694849, -15.636035389410992, -15.767615462147477, -15.891959145674091, -16.0094876518765, -16.120583458512165, -16.225595075383804, -16.324841086356376, -16.41861359679483, -16.507181189534617, -16.59079147206494, -16.669673281703194, -16.744038603047834, -16.814084242128537, -16.879993293812714, -16.941936432722265, -17.000073052833187, -17.05455227680952, -17.105513852746757, -17.153088953255494, -17.197400889522978, -17.238565751119886, -17.27669298073654, -17.311885891735404, -17.344242135291996, -17.373854122985055, -17.40080940989441, -17.42519104261615, -17.44707787602709, -17.46654486214882, -17.483663314048847, -17.49850114735351, -17.511123101648856, -17.521590943764622, -17.529963654722707, -17.536297601915376, -17.540646697912138, -17.543062547140096, -17.54359458154435, -17.542290186222107, -17.5391948159201, -17.53435210318818, -17.52780395890775, -17.519590665842085, -17.509750965786502, -17.49832214084567, -17.485340089311112, -17.470839396574785, -17.45485340146042, -17.437414258339707, -17.418552995341997, -17.39829956896493, -17.37668291534534, -17.35373099844176, -17.329470855346884, -17.303928638938707, -17.277129658061, -17.249098415399594, -17.219858643217915, -17.189433337096048, -17.157844787807637, -17.125114611459097, -17.091263778004183, -17.056312638241668, -17.02028094938936, -16.98318789933049, -16.945052129610605, -16.905891757265938, -16.86572439555306, -16.824567173649896, -16.782436755382317, -16.739349357043896, -16.695320764355124, -16.650366348616686, -16.60450108209742, -16.557739552708448, -16.51009597799756, -16.461584218503365, -16.412217790506627, -16.362009878209655, -16.310973345376784, -16.259120746461644, -16.206464337252225, -16.15301608505587, -16.09878767845223, -16.043790536633615, -15.988035818351804, -15.931534430498555, -15.874297036330969, -15.816334063362698, -15.75765571093641, -15.698271957496958, -15.63819256757409, -15.577427098489661, -15.515984906810267, -15.453875154545091, -15.391106815111085, -15.327688679071676, -15.263629359659662, -15.198937298094577, -15.133620768707246, -15.06768788387136, -15.001146598764846, -14.934004715952458, -14.866269889809239, -14.797949630788915, -14.7290513095419, -14.659582160888458, -14.589549287658595, -14.518959664401363, -14.447820140966515, -14.376137445966885, -14.303918190127083, -14.231168869522092, -14.157895868707392, -14.084105463753259, -14.009803825175215, -13.934997020776587, -13.85969101840025, -13.783891688592805, -13.707604807187824, -13.630836057809958, -13.553591034302652, -13.475875243081624, -13.397694105419982, -13.31905295966421, -13.239957063385864, -13.16041159547146, -13.080421658151808, -12.999992278971492, -12.9191284127067, -12.837834943225152, -12.756116685299078, -12.673978386363297, -12.591424728230429, -12.508460328758174, -12.425089743471169, -12.341317467141472, -12.257147935326977, -12.172585525872123, -12.08763456036792, -12.002299305576939, -11.916583974822451, -11.830492729343398, -11.7440296796166, -11.6571988866457, -11.570004363222337, -11.482450075155084, -11.394539942472242, -11.30627784059725, -11.217667601493451, -11.128713014790277, -11.039417828880051, -10.949785751990833, -10.85982045324242, -10.769525563671609, -10.678904677244478, -10.587961351843454, -10.496699110237545, -10.405121441030623, -10.313231799595965, -10.22103360898896, -10.128530260847043, -10.035725116269369, -9.942621506685269, -9.849222734705636, -9.7555320749597, -9.661552774919521, -9.567288055709918, -9.47274111290881, -9.377915117330074, -9.282813215802062, -9.187438531928247, -9.091794166843131, -8.995883199954287, -8.899708689677244, -8.803273674160447, -8.706581172000417, -8.609634182952682, -8.512435688632024, -8.414988653203892, -8.317296024073412, -8.219360732566411, -8.121185694604229, -8.022773811371353, -7.924127969980362, -7.825251044132275, -7.726145894772181, -7.626815370740062, -7.527262309418546, -7.427489537378401, -7.327499871019824, -7.227296117215901, -7.126881073947059, -7.026257530939369, -6.925428270301075, -6.824396067156397, -6.72316369028026, -6.621733902734846, -6.5201094625015426, -6.418293123120297, -6.316287634326295, -6.214095742687755, -6.111720192248651, -6.009163725171906, -5.906429082386951, -5.803519004239138, -5.700436231143125, -5.597183504242424, -5.493763566070885, -5.390179161221179, -5.286433037018014, -5.1825279441984815, -5.078466637597433, -4.974251876840406, -4.869886427045793, -4.765373059531625, -4.660714552533413, -4.555913691932183, -4.450973271986614, -4.345896096083179, -4.2406849774910835, -4.135342740130686, -4.029872219355139, -3.9242762627414542, -3.818557730899132, -3.7127194982892253, -3.606764454058611, -3.5006955028916806, -3.394515565877291, -3.2882275813908195, -3.1818345059958197, -3.0753393153645514, -2.9687450052159865, -2.8620545922772336, -2.755271115262037, -2.6483976358745194, -2.541437239835856, -2.4343930379336074, -2.327268167099051, -2.2200657915074546, -2.112789103707198, -2.005441325781248, -1.898025710533371, -1.7905455427068342, -1.6830041402409863, -1.5754048555557227, -1.467751076873574, -1.3600462295807623, -1.2522937776264198, -1.1444972249622711, -1.0366601170229743, -0.9287860422539149, -0.8208786336833885, -0.7129415705436583, -0.6049785799425247, -0.49699343858771683, -0.3889899745645548, -0.2809720691757628, -0.17294365883685833, -0.06490873703593418, 0.04312864364018232, 0.15116436940961386, 0.2591942631300861, 0.36721408205699463, 0.475219515520478, 0.5832061825242477, 0.6911696292534105, 0.7991053264947555, 0.9070086669606575, 1.0148749625137325, 1.1226994412885525, 1.2304772447017052, 1.3382034243478853, 1.445872938776877, 1.553480650143359, 1.6610213207233386, 1.7684896092918592, 1.8758800673532419, 1.9831871352188597, 2.0904051379212674, 2.1975282809600327, 2.3045506458640554, 2.411466185571478, 2.518268719602968, 2.624951929031757, 2.7315093512295245, 2.8379343743782965, 2.944220231738039, 3.0503599956548433, 3.156346571292621, 3.2621726900756602, 3.3678309028232722, 3.4733135725640945, 3.5786128670019894, 3.6837207506212555, 3.7886289764033565, 3.89332907713994, 3.997812356308396, 4.102069878488397, 4.206092459290139, 4.309870654763644, 4.413394750253733, 4.516654748671518, 4.619640358134636, 4.722340978946844, 4.824745689861127, 4.92684323358856, 5.028622001496055, 5.130070017437212, 5.231174920660605, 5.331923947725745, 5.432303913359293, 5.532301190173493, 5.631901687167304, 5.731090826916366, 5.829853521353661, 5.928174146042123, 6.026036512813152, 6.123423840651297, 6.220318724682569, 6.3167031031228555, 6.412558222010039, 6.507864597548672, 6.602601975862699, 6.696749289940693, 6.790284613532391, 6.883185111729959, 6.975426987943902, 7.066985426953106, 7.157834533666798, 7.247947267204714, 7.337295369859163, 7.425849290447949, 7.513578101511547, 7.600449409755081, 7.6864292590510415, 7.771482025244623, 7.855570301914531, 7.938654776124261, 8.020694093094113, 8.101644708571534, 8.181460727525513, 8.260093727604607, 8.337492565585517, 8.413603164789283, 8.48836828116184, 8.561727245372236, 8.633615677895067, 8.703965173582974, 8.772702951689057, 8.839751466663234, 8.905027974279639, 8.968444046748719, 9.02990502938874, 9.089309430117208, 9.146548231463601, 9.20150411289386, 9.254050568922395, 9.304050905643527, 9.351357094824229, 9.395808460369624, 9.43723016658383, 9.475431470891724, 9.510203695164293, 9.541317858939976, 9.56852190395435, 9.591537421441792, 9.61005577030121, 9.62373344345693, 9.63218649888824, 9.634983816904112, 9.631638870625778, 9.621599593921019, 9.60423578765109, 9.578823301885523, 9.544523938936845, 9.500359592377981, 9.44517849373705, 9.377610452986929, 9.2960064307935, 9.198355278296987, 9.08216630275997, 8.95431771411403, 8.818363857112363, 8.675563061592012, 8.526926464989879, 8.373352777658843, 8.215646320592446, 8.054526949571633, 7.890638488311715, 7.724556195143713, 7.5567934079465235, 7.387807472236364, 7.21800504075742, 7.047746819946278, 6.877351827923915, 6.707101219804713, 6.5372417283708755, 6.367988761794341, 6.199529194251821, 6.03202388035403, 5.865609919518941, 5.700402691923691, 5.5364976830357335, 5.373972108584836, 5.2128863458663455, 5.053285170019331, 4.895198784324451, 4.738643621143482, 4.583622873555892, 4.430126695077696, 4.2781319747961915, 4.127601554216074, 3.9784826967829683, 3.8307045451199815, 3.6841741946832682, 3.538770859454873, 3.394337377521547, 3.2506679593638435, 3.1074905742617047, 2.9644417453284397, 2.821031404737573, 2.6765994056860962, 2.53031104889648, 2.381363766111889, 2.229660842242298, 2.097782130627864, 1.9744146357735775, 1.858365953808841, 1.7363731406700267, 1.6204938259923793, 1.5106325553621798, 1.4055155344326054, 1.3040898023324823, 1.205503695962198, 1.1090228391205113, 1.0139624905863471, 0.9196232659982739, 0.8252083037676833, 0.7296792080449831, 0.6314295966477214, 0.5272995532840536, 0.4083387644055148, 0.3183174903438449, 0.23861097920290383, 0.16686502740790563, 0.1031259712320604, 0.05001572042768107, -0.003137958648782762, -0.059585710673418044, -0.12423879638279064, -0.19565891804379945, -0.27375619182283695, -0.35960098927266837, -0.4562729964409597, -0.5725002675629866, -0.6772912183444703, -0.7799846279278931, -0.8768055298448996, -0.9709597428641854, -1.0640772803211629, -1.157107307059021, -1.250731162560825, -1.3455112790886312, -1.441961882349354, -1.5405918963275251, -1.6419378866307248, -1.7465954588194013, -1.8552540578105448, -1.9683898091133958, -2.087525023727966, -2.2131261185730042, -2.3466364813966574, -2.4882072504536867, -2.6336498330669267, -2.778668340106082, -2.9219339641089626, -3.063826446471603, -3.2052063203783296, -3.3466997120191415, -3.488826383020507, -3.6319291693684135, -3.7763142817945927, -3.9222133538746413, -4.069821110312842, -4.219298638116773, -4.370781867353922, -4.524387597804384, -4.680217979106811, -4.83836384634, -4.998907190900555, -5.1619229642240105, -5.327480359607063, -5.495643682589741, -5.6664728956928565, -5.840023904656361, -6.016348638753981, -6.195494965472044, -6.377506470332476, -6.5624221241912455, -6.750275853676329, -6.941096024971834, -7.134904846687982, -7.331717693885042, -7.53154235240445, -7.734378180102467, -7.940215179538412, -8.149032974714618, -8.360799682618053, -8.575470668765833, -8.792987173945072, -9.013274797576146, -9.236241820939897, -9.46177735108831, -9.689749263644053, -9.920001919471456, -10.152353626425894, -10.38659381306978, -10.622479876112934, -10.859733656948995, -11.09803749543055, -11.337029799688096, -11.576300060024774, -11.815383221432528, -12.053753312408165, -12.290816207189014, -12.508778324211738, -12.709611437196013, -12.895100341279713, -13.06674870019605, -13.225836615664374, -13.373463981247712, -13.510583669336343, -13.63802730823404, -13.756525566909751, -13.866724306636984, -13.969197579553418, -14.064458191729035, -14.152966363612089, -14.235136888641103, -14.311345095030916, -14.381931845380906, -14.447207756435796, -14.50745678198156, -14.562939271982774, -14.613894598149953, -14.660543418390048, -14.703089638750086, -14.741722120584482, -14.776616172059285, -14.80793485621265, -14.835830142291261, -14.860443922597327, -14.88190891347589, -14.900349456095537, -14.915882230252762, -14.92861689241568, -14.938656647565518, -14.946098762994177, -14.95103503106958, -14.953552187003027, -14.953732286821646, -14.951653050063682, -14.9473881711204, -14.941007602641186, -14.932577813994584, -14.922162027400699, -14.909820434039846, -14.895610392164187, -14.879586609000784, -14.861801308029234, -14.842304383045134, -14.821143540248036, -14.798364429476718, -14.774010765574655, -14.748124440780053, -14.720745628931155, -14.691912882204306, -14.661663221018854, -14.630032217695149, -14.597054074381104, -14.562761695716182, -14.527186756662754, -14.490359765892766, -14.452310125067088, -14.41306618434084, -14.372655294375654, -14.331103855124848, -14.288437361629812, -14.244680447046711, -14.199856923111964, -14.153989818223206, -14.107101413302152, -14.05921327560158, -14.010346290598157, -13.960520692091931, -13.909756090644578, -13.85807150046172, -13.805485364821685, -13.752015580146425, -13.697679518804968, -13.64249405071951, -13.586475563862631, -13.529639983708947, -13.472002791699879, -13.41357904279281, -13.354383382141672, -13.294430060961087, -13.233732951625898, -13.172305562050619, -13.110161049385816, -13.047312233074122, -12.983771607300707, -12.919551352876866, -12.854663348578985, -12.789119181978316, -12.722930159796213, -12.656107317793396, -12.588661430231124, -12.520603018929991, -12.4519423619305, -12.382689501795996, -12.31285425356288, -12.242446212361795, -12.171474760721736, -12.099949075581327, -12.027878135013967, -11.95527072468501, -11.882135444051748, -11.808480712319485, -11.734314774168197, -11.659645705257718, -11.584481417517742, -11.508829664243805, -11.432698044999908, -11.356094010338772, -11.279024866346663, -11.201497779024033, -11.123519778506171, -11.045097763132661, -10.966238503374221, -10.88694864562211, -10.807234715836936, -10.727103123080445, -10.646560162925871, -10.565612020742519, -10.484264774884302, -10.402524399758656, -10.320396768801519, -10.237887657352763, -10.155002745442324, -10.071747620475842, -9.988127779845257, -9.904148633456646, -9.819815506169972, -9.735133640173945, -9.650108197280714, -9.564744261155274, -9.479046839473284, -9.393020866021038, -9.306671202724782, -9.220002641632568, -9.133019906824211, -9.045727656280318, -8.958130483688482, -8.87023292020626, -8.782039436170397, -8.693554442760588, -8.604782293617008, -8.515727286419237, -8.42639366441802, -8.336785617930408, -8.246907285788987, -8.156762756767733, -8.066356070958562, -7.975691221122383, -7.884772154002472, -7.793602771605639, -7.70218693245464, -7.610528452813314, -7.518631107878557, -7.426498632947317, -7.334134724555985, -7.241543041600058, -7.1487272064184415, -7.05569080586441, -6.962437392352691, -6.868970484879148, -6.775293570023893, -6.681410102934073, -6.587323508287888, -6.49303718123946, -6.398554488345852, -6.303878768473861, -6.209013333700424, -6.113961470182204, -6.018726439028091, -5.923311477140846, -5.827719798054206, -5.731954592755235, -5.636019030494382, -5.53991625958383, -5.443649408177295, -5.347221585053779, -5.250635880374458, -5.153895366442432, -5.057003098445459, -4.959962115194741, -4.862775439852696, -4.765446080653488, -4.667977031612832, -4.570371273236347, -4.472631773221023, -4.374761487148014, -4.276763359164884, -4.1786403226757995, -4.080395301015621, -3.982031208124483, -3.883550949213552, -3.7849574214385147, -3.6862535145548727, -3.5874421115826336, -3.4885260894618413, -3.389508319713615, -3.2903916690862864, -3.191179000217911, -3.0918731722818307, -2.9924770416428865, -2.8929934625075715, -2.793425287582826, -2.693775368723106, -2.594046557587824, -2.4942417063017515, -2.394363668110993, -2.294415298043772, -2.194399453579747, -2.0943189953150267, -1.9941767876340413, -1.8939756993847126, -1.7937186045644515, -1.6934083829987923, -1.5930479210404993, -1.4926401122618669, -1.3921878581625993, -1.2916940688771457, -1.1911616638966183, -1.0905935727966167, -0.9899927359660615, -0.8893621053596255, -0.7887046452451915, -0.6880233329690808, -0.5873211597343997, -0.48660113138068617, -0.385866269185953, -0.2851196106740102, -0.18436421043922013, -0.08360314098090883, 0.01716050644205557, 0.11792362094949455, 0.2186830711547859, 0.3194357042690804, 0.42017834518569486, 0.5209077955462486, 0.6216208327863445, 0.7223142091692317, 0.8229846507869284, 0.9236288565513047, 1.0242434971560577, 1.124825214020879, 1.2253706182020232, 1.3258762892908482, 1.4263387742751708, 1.5267545863756233, 1.6271202038563786, 1.7274320688040339, 1.8276865858770692, 1.9278801210191372, 2.028009000141538, 2.1280695077745486, 2.2280578856711295, 2.3279703313814095, 2.4278029967894805, 2.5275519865967415, 2.627213356775878, 2.7267831129683464, 2.8262572088466857, 2.925631544415431, 3.02490196427086, 3.124064255801015, 3.2231141473346114, 3.322047306229514, 3.420859336902899, 3.519545778795903, 3.6181021042734605, 3.716523716459159, 3.814805946988846, 3.9129440537032827, 4.010933218246502, 4.108768543596693, 4.206445051504453, 4.30395767984272, 4.401301279859691, 4.498470613344797, 4.595460349679784, 4.692265062788974, 4.7888792279811385, 4.885297218663991, 4.981513302945405, 5.077521640098821, 5.173316276899812, 5.268891143815627, 5.3642400510487045, 5.459356684424572, 5.554234601113701, 5.64886722518234, 5.7432478429676115, 5.8373695982515175, 5.931225487248514, 6.024808353371329, 6.118110881787059, 6.21112559372704, 6.303844840566624, 6.396260797634257, 6.488365457754691, 6.580150624503723, 6.671607905158652, 6.762728703333238, 6.853504211266981, 6.94392540176213, 7.033983019746247, 7.123667573428365, 7.212969325036658, 7.301878281105073, 7.390384182289906, 7.47847649267834, 7.566144388568464, 7.653376746674928, 7.740162131741224, 7.826488783503063, 7.912344602979973, 7.997717138037313, 8.08259356817695, 8.166960688506927, 8.250804892831958, 8.334112155812928, 8.416868014123077, 8.499057546532406, 8.580665352860382, 8.661675531689323, 8.742071656779531, 8.821836752072638, 8.900953265186832, 8.979403039291357, 9.057167283239338, 9.134226539822883, 9.210560652006627, 9.286148726990067, 9.360969097910303, 9.43499928300802, 9.508215942047048, 9.58059482975818, 9.652110746056065, 9.722737482762936, 9.792447766522134, 9.861213197582218, 9.92900418407585, 9.99578987138405, 10.061538066134467, 10.126215154340608, 10.189786013110822, 10.252213915311836, 10.31346042650103, 10.373485293339574, 10.432246322633272, 10.489699250020163, 10.545797597213566, 10.600492516573114, 10.65373262161437, 10.705463801881322, 10.75562902040228, 10.804168091707133, 10.851017438095445, 10.89610982151805, 10.939374048059783, 10.98073464154572, 11.020111482287957, 11.057419406344383, 11.092567759949018, 11.125459902887197, 11.155992653549195, 11.184055667160626, 11.209530737181385, 11.232291008069637, 11.25220008540155, 11.26911102668271, 11.282865192903627, 11.293290936857955, 11.300202099244512, 11.303396277328998, 11.302652823125099, 11.29773051813615, 11.288364859107743, 11.274264873054033, 11.255109358866532, 11.230542425476342, 11.200168160447985, 11.163544214833948, 11.120174025348701, 11.069497306610096, 11.010878324175636, 10.94359128806031, 10.8668019629627, 10.779544238806624, 10.68068988482618, 10.568908926113174, 10.442616871545624, 10.299903105498611, 10.138431628552505, 9.957859816493405, 9.771059376639009, 9.579731247165563, 9.38482613341746, 9.187154499649537, 8.987432082811262, 8.786291775237306, 8.58429247820522, 8.381926824659093, 8.179628007959945, 7.977775839048529, 7.776702130855404, 7.576695494019961, 7.378005615521804, 7.180847081671192, 6.985402798300126, 6.79182705374825, 6.600248263855298, 6.410771432720716, 6.2234803580066, 6.038439604821079, 5.855696267620008, 5.67528153472123, 5.4972120644840246, 5.321491175655365, 5.148109846253187, 4.977047504535713, 4.808272581538071, 4.641742775715048, 4.477404954690514, 4.315194584865737, 4.155034533520594, 3.9968330251917172, 3.8404804480246697, 3.685844583812487, 3.532763657903243, 3.3810363386311524, 3.23040741338766, 3.0805472996148047, 2.9310229778335866, 2.7812586073730774, 2.630508032383151, 2.477827554048394, 2.3224691716547463, 2.165832566870563, 2.033780221776036, 1.9101605878485068, 1.7936301229431082, 1.6715431438945079, 1.5554029356020196, 1.4450594579211709, 1.339307756387027, 1.237141700804291, 1.1377309128563542, 1.0403431006307367, 0.9442779211557693, 0.8487978580086861, 0.7530294939636657, 0.6557751993615393, 0.5550443779183519, 0.4464484837383403, 0.3425513040785121, 0.2549864301206176, 0.1770564317562578, 0.10711448954796032, 0.04556831682495027, -0.003802764147781368, -0.052876378582894026, -0.11056655479787772, -0.17609591652044757, -0.2482433181858852, -0.3270464123480692, -0.4137379370224155, -0.5117924588091057, -0.6308410889068875, -0.7334692830274798, -0.8338774337480506, -0.9290984364035976, -1.0218963219957449, -1.113730957999678, -1.2054844177261723, -1.2978027738015379, -1.391006968801038, -1.4858247468469055, -1.5827467769902723, -1.68229321556425, -1.7850434592674969, -1.891669956958201, -2.002976404679253, -2.119465455683369, -2.2426707957366157, -2.373410030294532, -2.510939731958021, -2.6514964924403817, -2.791282632086938, -2.9291623314440844, -3.0656437099567775, -3.2014438208964795, -3.337154393421531, -3.4732303921777277, -3.6100200881384965, -3.747793234441259, -3.8867619491613783, -4.027095569166325, -4.168931247061615, -4.312381617187188, -4.457540416008651, -4.6044866357458805, -4.75328759471586, -4.904001186700964, -5.056677495866208, -5.211359914955537, -5.368085871965853, -5.5268872465740175, -5.687790540159703, -5.850816848752025, -6.015981676803407, -6.1832946201810906, -6.3527589388620935, -6.524371033329781, -6.698119833718799, -6.8739861061572, -7.051941677617621, -7.231948577585276, -7.413958092580928, -7.59790972756087, -7.783730066244026, -7.971331520857227, -8.160610960034063, -8.351448201684711, -8.543704355995738, -8.737220001336267, -8.931813173722986, -9.127277147439697, -9.323377981531792, -9.519851802856433, -9.71640179215648, -9.912694834169665, -10.108357786653123, -10.302973315491908, -10.496075233847542, -10.687143272136561, -10.87559719185408, -11.060790139114841, -11.240280270441072, -11.402464602976776, -11.549297805856362, -11.682406643393286, -11.803160993316228, -11.91272640237914, -12.012103696006623, -12.10215931738415, -12.183648902971457, -12.257235840545047, -12.32350604892483, -12.382979873723121, -12.436121754516558, -12.483348150460504, -12.52503409087768, -12.56151862988221, -12.593109419822282, -12.620086570482911, -12.642705925001305, -12.661201856103176, -12.675789665292845, -12.686667651377432, -12.694018902033509, -12.69801285215748, -12.69880664483067, -12.69654632443613, -12.691367886395676, -12.683398203905435, -12.672755848735108, -12.65955182042393, -12.643890195996155, -12.6258687104632, -12.605579276858267, -12.583108453280296, -12.558537863359119, -12.531944575662244, -12.503401446802133, -12.47297743237792, -12.44073786934229, -12.40674473290742, -12.37105687073196, -12.333730216780472, -12.294817986952602, -12.254370858339449, -12.212437133736179, -12.169062892858294, -12.124292131546438, -12.078166890095016, -12.030727371716731, -11.982012052055753, -11.932057780547474, -11.880899874360523, -11.828572205560665, -11.775107282086333, -11.720536323059378, -11.664889328904026, -11.608195146705233, -11.550481531191078, -11.491775201688094, -11.432101895371353, -11.371486417096973, -11.30995268607945, -11.247523779649997, -11.18422197431976, -11.120068784345657, -11.055084997977888, -10.989290711559068, -10.922705361630493, -10.85534775517335, -10.78723609813469, -10.718388022330384, -10.64882061086376, -10.578550422134095, -10.507593512537936, -10.43596545795546, -10.363681374094398, -10.290755935755719, -10.217203395106257, -10.143037599011787, -10.06827200548463, -9.992919699307155, -9.91699340687924, -9.840505510334673, -9.76346806096871, -9.685892792025447, -9.607791130864292, -9.529174210565259, -9.450052880985046, -9.370437719306793, -9.290339040102873, -9.209766904946772, -9.128731131594186, -9.047241302750443, -8.965306774463631, -8.882936684142765, -8.800139958236212, -8.71692531958356, -8.63330129444925, -8.549276219275063, -8.46485824714076, -8.380055353964275, -8.294875344452599, -8.209325857808484, -8.123414373213077, -8.037148215089742, -7.950534558165207, -7.8635804323279235, -7.776292727308021, -7.688678197174369, -7.600743464662752, -7.5124950253432665, -7.423939251631191, -7.335082396654778, -7.245930597981547, -7.156489881209221, -7.066766163425644, -6.9767652565569795, -6.886492870585222, -6.795954616666219, -6.705156010132932, -6.61410247340077, -6.522799338773802, -6.43125185115452, -6.339465170672255, -6.2474443752171975, -6.155194462896476, -6.062720354410897, -5.97002689535511, -5.8771188584500615, -5.78400094569858, -5.690677790483459, -5.597153959593994, -5.503433955193829, -5.409522216733752, -5.315423122803841, -5.221140992932603, -5.126680089338601, -5.032044618623767, -4.937238733426879, -4.842266534025466, -4.7471320699003074, -4.651839341249909, -4.556392300466556, -4.460794853581783, -4.3650508616586166, -4.2691641421607, -4.17313847028391, -4.076977580249849, -3.9806851665692458, -3.8842648852831303, -3.787720355158933, -3.691055158870294, -3.594272844148033, -3.4973769249002045, -3.4003708823079135, -3.3032581659034586, -3.2060421946155264, -3.108726357798418, -3.0113140162423275, -2.9138085031524534, -2.8162131251225557, -2.7185311630759648, -2.6207658731994146, -2.522920487853276, -2.424998216465198, -2.3270022464140863, -2.2289357438875754, -2.1308018547397376, -2.0326037053210295, -1.9343444033015729, -1.8360270384869566, -1.7376546836054738, -1.6392303951060283, -1.5407572139253543, -1.4422381662581505, -1.3436762643087503, -1.2450745070376767, -1.146435880903571, -1.0477633605880505, -0.9490599097148531, -0.8503284815709704, -0.7515720198060994, -0.6527934591382407, -0.5539957260472218, -0.4551817394654905]}],\n                        {\"autosize\": true, \"shapes\": [{\"fillcolor\": \"#ffcc00\", \"line\": {\"width\": 0}, \"type\": \"circle\", \"x0\": -1.2911641594201713, \"x1\": 1.2911641594201713, \"xref\": \"x\", \"y0\": -1.2911641594201713, \"y1\": 1.2911641594201713, \"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\"}}, \"yaxis\": {\"scaleanchor\": \"x\", \"title\": {\"text\": \"Y\"}}},\n                        {\"responsive\": true}\n                    ).then(function(){\n                            \nvar gd = document.getElementById('9cf3f79f-e397-4762-8919-e888baf55ecc');\nvar 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\nvar notebookContainer = gd.closest('#notebook-container');\nif (notebookContainer) {{\n    x.observe(notebookContainer, {childList: true});\n}}\n\n// Listen for the clearing of the current output cell\nvar outputEl = gd.closest('.output');\nif (outputEl) {{\n    x.observe(outputEl, {childList: true});\n}}\n\n                        })\n                };\n                });\n            </script>\n        </div>"
     },
     "metadata": {}
    }
   ],
   "source": [
    "obj = GeodesicPlotter()\n",
    "obj.plot(geod)\n",
    "obj.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apsidal Precession is easily observed in the plot above."
   ]
  }
 ],
 "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": "3.7.4"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "1822ab68ce564bb085bb699aa6a03292": {
      "model_module": "plotlywidget",
      "model_module_version": "0.9.1",
      "model_name": "FigureModel",
      "state": {
       "_config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "_js2py_layoutDelta": {},
       "_js2py_pointsCallback": {},
       "_js2py_relayout": {},
       "_js2py_restyle": {},
       "_js2py_traceDeltas": {},
       "_js2py_update": {},
       "_layout": {
        "template": {}
       },
       "_model_module_version": "0.9.1",
       "_py2js_addTraces": {},
       "_py2js_animate": {},
       "_py2js_deleteTraces": {},
       "_py2js_moveTraces": {},
       "_py2js_removeLayoutProps": {},
       "_py2js_removeTraceProps": {},
       "_py2js_restyle": {},
       "_py2js_update": {},
       "_view_count": 0,
       "_view_module_version": "0.9.1"
      }
     },
     "5509c376822e4e499149f4a34ecc1dd1": {
      "buffers": [
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "_data",
         1,
         "x",
         "value"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "_data",
         1,
         "y",
         "value"
        ]
       }
      ],
      "model_module": "plotlywidget",
      "model_module_version": "0.9.1",
      "model_name": "FigureModel",
      "state": {
       "_config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "_data": [
        {
         "marker": {
          "color": "#ffcc00",
          "line": {
           "width": 2
          },
          "size": 10
         },
         "mode": "markers",
         "name": "attractor",
         "type": "scatter",
         "uid": "c5067548-509b-4a79-bd41-d764f16a9278",
         "x": [
          0
         ],
         "y": [
          0
         ]
        },
        {
         "marker": {
          "color": "#32f7f5",
          "line": {
           "width": 2
          },
          "size": 5
         },
         "mode": "lines",
         "name": "geodesic",
         "type": "scatter",
         "uid": "c5943eba-12f5-42c9-b77e-5bf130f8ce67",
         "x": {
          "dtype": "float64",
          "shape": [
           6463
          ],
          "value": {}
         },
         "y": {
          "dtype": "float64",
          "shape": [
           6463
          ],
          "value": {}
         }
        }
       ],
       "_js2py_pointsCallback": {},
       "_js2py_relayout": {},
       "_js2py_restyle": {},
       "_js2py_update": {},
       "_last_layout_edit_id": 2,
       "_last_trace_edit_id": 2,
       "_model_module_version": "0.9.1",
       "_py2js_animate": {},
       "_py2js_deleteTraces": {},
       "_py2js_moveTraces": {},
       "_py2js_removeLayoutProps": {},
       "_py2js_removeTraceProps": {},
       "_py2js_restyle": {},
       "_py2js_update": {},
       "_view_count": 2,
       "_view_module_version": "0.9.1"
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}