{ "cells": [ { "cell_type": "markdown", "id": "outer-solution", "metadata": {}, "source": [ "# Прикладные дифференциальные уравнения\n", "## Занятие 8\n", "*Илья Щуров*\n", "\n", "Факультет компьютерных наук, Прикладная математики и информатика, 2021-22 учебный год\n", "\n", "[Страница курса](http://math-info.hse.ru/2021-22/Прикладные_дифференциальные_уравнения)" ] }, { "cell_type": "markdown", "id": "corporate-reservoir", "metadata": {}, "source": [ "## Система Лоренца" ] }, { "cell_type": "markdown", "id": "certified-gathering", "metadata": {}, "source": [ "$$\n", "\\begin{align}\n", "\\frac{\\mathrm{d}x}{\\mathrm{d}t} &= \\sigma (y - x), \\\\[6pt]\n", "\\frac{\\mathrm{d}y}{\\mathrm{d}t} &= x (\\rho - z) - y, \\\\[6pt]\n", "\\frac{\\mathrm{d}z}{\\mathrm{d}t} &= x y - \\beta z.\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "id": "dying-yahoo", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.integrate import odeint\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "id": "noticed-familiar", "metadata": {}, "outputs": [], "source": [ "def lorentz(X, t, sigma, rho, beta):\n", " x, y, z = X\n", " return np.array([sigma * (y - x), x * (rho - z) - y, x * y - beta * z])" ] }, { "cell_type": "code", "execution_count": 4, "id": "cross-resolution", "metadata": {}, "outputs": [], "source": [ "trajectory1 = odeint(\n", " lorentz, np.array([1, 2, 3]), np.linspace(0, 30, 3000), args=(10, 28, 8.1 / 3)\n", ")\n", "trajectory2 = odeint(\n", " lorentz, np.array([10, 2, 3]), np.linspace(0, 30, 3000), args=(10, 28, 8.1 / 3)\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "brilliant-collection", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(trajectory1[:, 0], trajectory1[:, 1])\n", "plt.plot(trajectory2[:, 0], trajectory2[:, 1])" ] }, { "cell_type": "code", "execution_count": 9, "id": "conditional-chase", "metadata": {}, "outputs": [], "source": [ "import plotly.graph_objects as go" ] }, { "cell_type": "code", "execution_count": 10, "id": "proper-launch", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "mode": "lines", "type": "scatter3d", "x": [ 1, 1.1067182480193565, 1.2275976840552996, 1.3639833076170835, 1.517436871894026, 1.6897468478212834, 1.88294041794498, 2.0992967325019225, 2.3413603396271756, 2.611953282072195, 2.914183907598734, 3.251449531463922, 3.6274290775828115, 4.04606028924195, 4.5114942774382305, 5.028017539300763, 5.59992868128031, 6.231353353399163, 6.925977255181903, 7.686673472657112, 8.514998667706557, 9.410534405974916, 10.37005893915485, 11.386554997608865, 12.448096622645654, 13.536717220797469, 14.627440732042817, 15.687750939493398, 16.67785085251081, 17.552080356353045, 18.261756972356697, 18.759438052944137, 19.004190448050192, 18.96700329021978, 18.63518737441922, 18.01466065422817, 17.12948504915663, 16.018747207520484, 14.731568719891365, 13.32141355369478, 11.840826108171889, 10.337381233395439, 8.851161886536318, 7.413684116623895, 6.04795337742675, 4.769261841468582, 3.586371345849182, 2.5028137921839972, 1.5181359331935174, 0.6289953312391114, -0.1699289590434234, -0.8852118838127803, -1.5241261758386973, -2.094228663362063, -2.603062048345032, -3.057947283900354, -3.465845197118106, -3.8332702291442575, -4.166241788972116, -4.470263277243884, -4.7503200517928645, -5.010890223599594, -5.255963557229749, -5.489065062745018, -5.713280581713443, -5.931282502701647, -6.145354287863232, -6.357412738940054, -6.569027562571252, -6.7814377703248025, -6.9955648768951795, -7.212023006568977, -7.43112622331029, -7.65289359522377, -7.877052732640628, -8.103042682007699, -8.330017278992276, -8.556850230093353, -8.782143330526333, -9.004239312963465, -9.221240836509484, -9.43103702807206, -9.63133876222958, -9.819723488890414, -9.993689871828588, -10.150721810043411, -10.288360634629992, -10.404283170792612, -10.496382957021124, -10.562850659692328, -10.60224946890341, -10.613581024034499, -10.596337589867984, -10.550536841495354, -10.476736621019933, -10.37602836468444, -10.250009337491298, -10.100735343526917, -9.930656886299122, -9.742542782573766, -9.539395866159218, -9.324365581453353, -9.100662083361396, -8.871475866230055, -8.639906186604073, -8.408900415191901, -8.181205782201744, -7.959333794414861, -7.745537010785879, -7.541797190736074, -7.34982341348884, -7.17105852033619, -7.006692200549337, -6.857678981160936, -6.724759494941459, -6.6084836571961105, -6.50923449259943, -6.427251574610328, -6.362653352253721, -6.315457644008833, -6.285599895643068, -6.272948865639965, -6.277319532202994, -6.298483113245661, -6.336174131491704, -6.390094532390643, -6.459914883576771, -6.5452727160679585, -6.645768087189922, -6.760956470575275, -6.890339104551512, -7.0333509668141145, -7.18934660627565, -7.357584123654397, -7.537207694756008, -7.727229150116972, -7.926509271513208, -8.133739637329873, -8.34742603745104, -8.565874673763767, -8.787182548742127, -9.009233608723727, -9.22970227320252, -9.446066000679025, -9.655628391385436, -9.855554018772159, -10.042915680906153, -10.214754081638828, -10.36814895107975, -10.50029977396739, -10.608613107288628, -10.690792435194387, -10.744925738460244, -10.769565468396316, -10.76379556103767, -10.727280608590718, -10.660293285910004, -10.563717596760855, -10.43902725175266, -10.288240253950406, -10.113852600343147, -9.918755376723482, -9.706140525530198, -9.479401007406828, -9.242030953482484, -8.997531014442183, -8.749322714505313, -8.50067528172343, -8.254646510632215, -8.014038497400543, -7.781367974333767, -7.55885021876637, -7.348394961543721, -7.151612394815475, -6.969827205004206, -6.8040986989245065, -6.655244920605769, -6.523869252846315, -6.410387938766573, -6.31505734843944, -6.238000020101182, -6.179228757528309, -6.138668241720151, -6.116173776119472, -6.111547039406975, -6.124548563367903, -6.154906983836006, -6.202325066070155, -6.266482509675686, -6.3470356283368625, -6.4436139540518145, -6.555813871943754, -6.683189382021054, -6.825240112233408, -6.981396759937308, -7.151004185584122, -7.333302449975113, -7.527406225905198, -7.732283132642197, -7.94673171723573, -8.169360223500169, -8.39856691626387, -8.632523799689592, -8.869165179668084, -9.106182986830586, -9.341030808752558, -9.57093862413824, -9.792940023732688, -10.003913328761211, -10.200637390843891, -10.379861975039802, -10.538391478605185, -10.673179452096171, -10.781430241579251, -10.860702547532108, -10.909009026264117, -10.924905396348034, -10.907562721086089, -10.85681720661208, -10.773193350048883, -10.657898095593545, -10.512785890380574, -10.340296797393188, -10.143371837515375, -9.925351288820446, -9.689862582008766, -9.440704679752468, -9.181735455067255, -8.91676775295171, -8.64947817555371, -8.38333178939924, -8.12152399378727, -7.866939798291406, -7.622129593755986, -7.389299748779469, -7.170315864441702, -6.966716288417558, -6.779733410678594, -6.610320533863506, -6.459181986171999, -6.326804908995866, -6.213491101286502, -6.119387763886674, -6.044516225973081, -5.988798011047251, -5.952077791753213, -5.934142917344756, -5.934739514807984, -5.95358491203242, -5.99037650854801, -6.044797151680416, -6.116517054802128, -6.2051923634313315, -6.310460444956361, -6.431931988913777, -6.569179999157977, -6.721725806926044, -6.889022220997557, -7.0704340059630555, -7.26521599656903, -7.472489293968227, -7.69121601200679, -7.920173395916339, -8.157928421013354, -8.402814072695957, -8.65290897586064, -8.906022305783305, -9.159686145187251, -9.411157665443042, -9.657433520523847, -9.895278715055884, -10.121271750547365, -10.331867185454195, -10.523475575644667, -10.692559411330276, -10.83574233494876, -10.9499269564924, -11.032415174046061, -11.08102380693733, -11.09418760739274, -11.071041969307943, -11.011478543804468, -10.916168767823262, -10.786552975078273, -10.624795032135504, -10.433705700313196, -10.216640120512137, -9.977376645066355, -9.719985261394802, -9.448693893950933, -9.167760356342868, -8.881355954802933, -8.593465859791117, -8.307808875845307, -8.02777783091923, -7.756400257333029, -7.496317856242771, -7.249782436823678, -7.018665561206339, -6.804478949453793, -6.608402703106348, -6.4313187511569945, -6.273847173890671, -6.136383423357432, -6.0191349036194355, -5.922155660734672, -5.845378336301587, -5.788642856776692, -5.751721323535271, -5.73433902299454, -5.736191461593664, -5.756957429820906, -5.7963081860404735, -5.853912845518377, -5.929440095933906, -6.0225563316139485, -6.13292030378428, -6.260174358512328, -6.4039323236592915, -6.563764117839296, -6.739177164004543, -6.92959474563078, -7.134331522183358, -7.352566545025284, -7.583314292186968, -7.82539443153935, -8.077401392860516, -8.337675070752134, -8.604274393638418, -8.87495588771677, -9.14715974028483, -9.418006167231976, -9.684305031331387, -9.942581567597355, -10.189120774697626, -10.42003231789397, -10.631336217294447, -10.819068959556931, -10.979406681367454, -11.108800691235668, -11.20411843769111, -11.262781275132975, -11.282889463989756, -11.263324793483045, -11.203822246463877, -11.105004013193211, -10.968372357174678, -10.796261058148216, -10.59174886071297, -10.358541359878615, -10.100830118197516, -9.823139041298003, -9.530168285910225, -9.226645002061163, -8.917188618386247, -8.60619625949907, -8.297751644703762, -7.995558648520446, -7.702898906472485, -7.422611436211813, -7.157091279425018, -6.908303788600831, -6.677810910278503, -6.466805997948728, -6.276154069573548, -6.106434771098111, -5.957985889771265, -5.830945643251342, -5.725292473424607, -5.640881423781743, -5.577476532552816, -5.534778891103136, -5.512450248163065, -5.51013212765242, -5.527460610459207, -5.564076841182969, -5.619633471740379, -5.693797183822958, -5.786247418020135, -5.896671410658641, -6.024755620929685, -6.1701735690129205, -6.332570121697383, -6.5115422303359285, -6.706616155852075, -6.917221295627529, -7.1426608082886185, -7.382079378981575, -7.634428710258081, -7.898431673871017, -8.17254626067776, -8.454931035077369, -8.74341435410903, -9.035469944442312, -9.328201814030065, -9.618342635826082, -9.90226813881902, -10.176032437936819, -10.435426039709927, -10.676059447684642, -10.893471856949638, -11.083263571187823, -11.241247755825661, -11.36361427294994, -11.447096244194862, -11.489128101083836, -11.487982838444681, -11.442877025216049, -11.35403389537372, -11.222697984811232, -11.051099183385608, -10.842368459339259, -10.600411783585542, -10.32975227926665, -10.035352669289583, -9.722430774200877, -9.396280186785939, -9.062106275236545, -8.724885148596437, -8.389250340163736, -8.059409203620373, -7.739088573447974, -7.431507435918825, -7.139372997068782, -6.864895984206715, -6.609820737852903, -6.375465780883088, -6.162771051358637, -5.972348471113526, -5.80453317742036, -5.659433333496128, -5.536976974847045, -5.436954840595492, -5.359058542632022, -5.302913725587242, -5.268108113316, -5.25421448806355, -5.260808786405102, -5.287483518834514, -5.333856730988926, -5.39957677082583, -5.484323033315463, -5.587802822826432, -5.7097444492433045, -5.8498865755609, -6.007963804100176, -6.183688504143691, -6.376728677857931, -6.586682001020444, -6.813045872807391, -7.055183677510671, -7.312287489254148, -7.5833378883009726, -7.867061477740722, -8.16188772669474, -8.465906842651332, -8.776831179452058, -9.091963309306117, -9.408174554501228, -9.72189835556231, -10.029143034747001, -10.32552854277126, -10.606351241714389, -10.866679257753768, -11.101479398131804, -11.305773445959614, -11.474818669213573, -11.604303852412938, -11.690548903901302, -11.730693711456844, -11.722860888937435, -11.666277987506616, -11.561346908447986, -11.409653256332017, -11.213913456532838, -10.97786351833968, -10.706098779886132, -10.403877979072165, -10.076907340794303, -9.731120756962685, -9.37247064313627, -9.006741322886754, -8.639393178434652, -8.275442177166788, -7.919375864432106, -7.575104092969016, -7.245940786919237, -6.934611730389087, -6.643282907005259, -6.373603867830502, -6.1267610908447985, -5.903536923069024, -5.704370478452149, -5.529417677152532, -5.378608300751272, -5.2516986271482, -5.148318756383269, -5.068014123407786, -5.010281037126777, -4.974596362574952, -4.960441525958264, -4.967321167333366, -4.9947768138142195, -5.042395887871828, -5.109816376588893, -5.196727410634823, -5.302865925293767, -5.428009505717863, -5.571965445099091, -5.7345559568792135, -5.9155994185613165, -6.11488746551913, -6.3321577637715825, -6.567062283176467, -6.819130970997523, -7.087730880052483, -7.372021027658068, -7.670903615234676, -7.982972690256826, -8.306461928065142, -8.639193953751425, -8.978534451291235, -9.321355221076905, -9.664011198921756, -10.002337061046209, -10.33166950568951, -10.646901052930822, -10.942570023791838, -11.212989579944947, -11.452415913370821, -11.65525113404172, -11.816272722927987, -11.930876051901446, -11.995313199767768, -12.006908394624881, -11.964230791062771, -11.867206947414026, -11.717160990436534, -11.516776884579036, -11.269985224152402, -10.981784519623256, -10.65801292999083, -10.30509017742327, -9.929750444008889, -9.538785584271348, -9.138814573517843, -8.736090369871134, -8.336350572215023, -7.944713499627555, -7.565617611997598, -7.202799576293474, -6.859304458787011, -6.537521024404715, -6.239235146005432, -5.9656949652381615, -5.717682316306867, -5.49558598810391, -5.299473428430336, -5.129158438812955, -4.984263224475661, -4.864273848364389, -4.768588627988782, -4.6965594352678375, -4.647526108327519, -4.620844362779595, -4.615907679164235, -4.632163667567741, -4.6691254184558675, -4.7263782672009915, -4.803582354268796, -4.900471254310612, -5.016846852543984, -5.1525705373061825, -5.307550670542886, -5.4817261953113805, -5.675046140152033, -5.8874447123200895, -6.118811618673275, -6.368957243742779, -6.6375723682014565, -6.92418223356665, -7.228094989983886, -7.548344923022157, -7.8836313702319565, -8.232254934470307, -8.592053487714528, -8.960341525216132, -9.333857628958375, -9.708726033872399, -10.080439400830315, -10.443870657347514, -10.793321879876634, -11.122617355199008, -11.425245808874315, -11.694553140126144, -11.923982480246558, -12.107351665640413, -12.239152499670277, -12.314850114141079, -12.331157035789985, -12.286255727734195, -12.179946213679042, -12.01370156515529, -11.79062368972755, -11.515302336131237, -11.193590606288955, -10.83231856976632, -10.438971358843645, -10.021359207155168, -9.587304464018503, -9.144365478661049, -8.699610786996324, -8.259450220004183, -7.829523571138969, -7.414642797103763, -7.018780426217807, -6.645095296905209, -6.295986290433989, -5.973165197064657, -5.677740973960173, -5.410308716267835, -5.171038695337977, -4.959761465859425, -4.776046712583925, -4.619274275195802, -4.488696561874845, -4.383492276768818, -4.302811585842858, -4.245813280604232, -4.211694578505974, -4.199714279023936, -4.209209999049838, -4.239610180027931, -4.290441435549378, -4.361331777068407, -4.4520100999462064, -4.562302168215848, -4.692123238950374, -4.841467324571389, -5.010392931648853, -5.199005017981854, -5.407432766474306, -5.635802658363371, -5.8842062718697115, -6.152662154562266, -6.441071155806087, -6.749164694534564, -7.07644564906114, -7.422121930303087, -7.785033365898816, -8.16357333230334, -8.555607655321152, -8.95839466474809, -9.36851190519925, -9.781796774732339, -10.193310097074606, -10.597333038372284, -10.987408450087447, -11.356437226365902, -11.696837742001135, -12.000772589533508, -12.260439923748889, -12.46841856561171, -12.618046933223898, -12.703807389613326, -12.721681463156193, -12.669439770822859, -12.546833849050817, -12.355666173786878, -12.099727888409824, -11.784609289408175, -11.417402483380107, -11.006327112241195, -10.560316017440897, -10.088598239360891, -9.600312162890965, -9.104173659226772, -8.608214461746059, -8.11959660454331, -7.644501015672402, -7.188082341549397, -6.754478824737967, -6.346864581976577, -5.967531818165737, -5.617991713754118, -5.299084579545782, -5.011091848214545, -4.753844429230535, -4.526823684740011, -4.329252732968825, -4.160176912057174, -4.0185330785088675, -3.9032080263330364, -3.813086713427373, -3.747091162601106, -3.704211095686592, -3.6835273117230254, -3.6842288199194946, -3.705624630173656, -3.747150998597844, -3.8083747942014403, -3.8889935205661805, -3.988832367586429, -4.1078385020822, -4.246072698716093, -4.403698201117894, -4.58096658691096, -4.778200234407009, -4.995770828197222, -5.234073196987068, -5.493493631345904, -5.774371710328902, -6.076954601848867, -6.401342798763791, -6.747426359033787, -7.114810991503446, -7.50273381868179, -7.909969430666747, -8.334727990831029, -8.774548728786995, -9.22619418199484, -9.685552984812611, -10.147561689664716, -10.606158802334745, -11.054286434928468, -11.483955323076755, -11.886388795859299, -12.252256598615338, -12.572002107451262, -12.836256373686304, -13.036318365337706, -13.164667702605962, -13.215463865959297, -13.1849795951965, -13.07191776130732, -12.877570144893433, -12.605795516019176, -12.262816373049388, -11.856857045699304, -11.397664642226843, -10.895965220056933, -10.362909743111222, -9.809558345811864, -9.246439502142898, -8.683206267315692, -8.128397519496556, -7.589300500349805, -7.071902535909507, -6.580915177052317, -6.119852487461555, -5.691145856235166, -5.296280115852952, -4.93593834618019, -4.610146044121585, -4.318407908346202, -4.0598330246580945, -3.8332460652466196, -3.6372836095465693, -3.470475672748555, -3.331313223034638, -3.218302911226141, -3.1300104221909772, -3.0650939549782366, -3.0223292887590345, -3.0006278183666977, -2.999048813277973, -3.0168069860570648, -3.0532763119979673, -3.107990850681233, -3.180643229135358, -3.2710811151596006, -3.379302096134026, -3.5054470239444515, -3.64979182428282, -3.81273757796195, -3.9947985594266795, -4.196587705490342, -4.418798817313561, -4.662184609764267, -4.927529500715788, -5.215615875235284, -5.527182302990048, -5.862872059557359, -6.223170187584922, -6.608327408456616, -7.018269377486799, -7.452490211708734, -7.909930552593979, -8.388841118224605, -8.886635730112298, -9.399740314490456, -9.923448019775192, -10.451795397775847, -10.977478759247834, -11.491834507716268, -11.984908323631673, -12.445638992995649, -12.862175604043465, -13.222335694513495, -13.514194797200252, -13.726774694794896, -13.850775207706713, -13.879274684358831, -13.808315326326122, -13.637295060042778, -13.369107449071514, -13.010005455515657, -12.569204116194227, -12.058272988685642, -11.490395184271122, -10.87957973040096, -10.239908720699368, -9.584883382733947, -8.926909627534902, -8.276939425073538, -7.64426409139997, -7.036441044878367, -6.4593276648333084, -5.91719355474918, -5.412884016520917, -4.948011207832366, -4.523154865500917, -4.138058972510279, -3.791815297924583, -3.483028677210417, -3.2099611323587016, -2.970654452946923, -2.7630319213917653, -2.5849808018321907, -2.4344176326251534, -2.30933857530636, -2.207857062681788, -2.1282308802291343, -2.068880632046871, -2.0284013413484994, -2.005568705390374, -1.9993412947514, -2.008859807678598, -2.03344426237474, -2.0725898554413935, -2.125962057382766, -2.1933913727815915, -2.2748680626382525, -2.3705370256678453, -2.4806929143566188, -2.6057754644582256, -2.746364915958985, -2.9031772895027927, -3.0770591585895883, -3.268981425348144, -3.4800314428359314, -3.711402632954581, -3.9643805199667237, -4.240323839090187, -4.540639057329541, -4.866746272132271, -5.220034125804417, -5.601800917593067, -6.013178803185013, -6.455037725458924, -6.927865737620653, -7.431622785212677, -7.965566197969773, -8.52804792823877, -9.116287132485745, -9.726126466414634, -10.35178717089334, -10.985646514861797, -11.618071033363892, -12.23734720348735, -12.829758937812423, -13.379860343320653, -13.870983139672367, -14.285994724115659, -14.608286362502048, -14.82292444989279, -14.917849706025935, -14.884974052755013, -14.721014843465221, -14.427929969415501, -14.012875278323255, -13.487683633477564, -12.867944211675063, -12.171819914462269, -11.418767506155596, -10.628316621733598, -9.819028215885947, -9.007704079117659, -8.208869891264813, -7.434515488392887, -6.694050401102729, -5.994421957929185, -5.340342285325774, -4.734577422222626, -4.178260979714038, -3.6712053610460122, -3.212192582056035, -2.7992343796486376, -2.429796957654024, -2.100989456492175, -1.8097177740571204, -1.55280697542099, -1.327095954183987, -1.1295083588314543, -0.9571036245888561, -0.8071116863976152, -0.676954538564031, -0.5642574109903428, -0.4668519214792676, -0.38277318259109383, -0.3102525011592558, -0.2477069946625186, -0.19372719346757078, -0.1470634668489034, -0.1066119177449811, -0.07140023970098744, -0.04057388958666319, -0.013382822307257422, 0.010831025154054433, 0.032645427312746424, 0.05256868326347733, 0.07104953973484707, 0.08848624544981884, 0.10523479242108723, 0.12161638956252913, 0.1379242416534884, 0.15442970981213514, 0.1713879286486879, 0.18904295328355417, 0.2076325202867671, 0.22739249121532584, 0.24856105217829672, 0.27138274371873256, 0.29611238116640415, 0.32301893894118267, 0.35238945554387247, 0.38453302599996025, 0.41978494043848086, 0.4585110303116927, 0.5011122839429527, 0.5480297918286596, 0.5997500822007733, 0.6568109098783564, 0.719807562105685, 0.7893997344766306, 0.8663190518333252, 0.9513772885143351, 1.0454753011251068, 1.1496127522416075, 1.2648986280550236, 1.3925625304206404, 1.5339666672964851, 1.6906184477366237, 1.8641834555927659, 2.056498456097242, 2.269583843585064, 2.5056548741925004, 2.7671304961028396, 3.0566381492641588, 3.377012405196196, 3.731284397530095, 4.122657976520142, 4.554467165470191, 5.030107681154592, 5.5529338933567995, 6.126109409179084, 6.7523982601550365, 7.43388108733188, 8.171580755786604, 8.96498314054118, 9.811445439797707, 10.705497281088281, 11.638062726911393, 12.595665999883042, 13.559730961457959, 14.50613835059456, 15.405253811543743, 16.222660477457087, 16.920791302468125, 17.461532542551222, 17.8096536503986, 17.93664979515762, 17.82434558834014, 17.46751650020536, 16.874913350271072, 16.06842167911017, 15.080535148249504, 13.950705285459074, 12.721316631850774, 11.433988747899157, 10.126688836794903, 8.831860928274276, 7.5755378500785575, 6.377250698803763, 5.25049256331308, 4.2035023487672225, 3.24018131833541, 2.361011764841527, 1.5638990687231997, 0.844898407302584, 0.19881455451031316, -0.3803204430819055, -0.898878444633318, -1.3633587237338916, -1.7801870637377148, -2.155575114125167, -2.4954267383908864, -2.8052802968799915, -3.090277843231118, -3.3551540237181565, -3.6042389754474358, -3.8414705933967794, -4.070412854368609, -4.294277151796864, -4.515944617054834, -4.737987646407373, -4.962689257750889, -5.192059201984852, -5.427845908943426, -5.671543537015516, -5.924393586610889, -6.187380605526192, -6.461221699804556, -6.746349740674614, -7.042890361790344, -7.350633217307198, -7.668998287897088, -7.996998608177511, -8.333201324720301, -8.675690101690174, -9.02203189110541, -9.36925305453598, -9.713829716639868, -10.051698214654335, -10.378291568425935, -10.68860741554784, -10.977311633202556, -11.23887967268171, -11.46777445322747, -11.658655524189522, -11.806609981339255, -11.907391362746521, -11.95764894524082, -11.955128685266468, -11.89882708523501, -11.789082578036298, -11.627594320568152, -11.417365167635198, -11.162573294218642, -10.868383854814496, -10.540717303202085, -10.18599400066983, -9.810875165775036, -9.422018004374863, -9.025859375987455, -8.628437796180446, -8.235258654624662, -7.85120334995913, -7.480479645812553, -7.12660809500944, -6.7924382238351715, -6.480187526117485, -6.191496626826335, -5.927494616180392, -5.688869470377348, -5.4759394881260475, -5.288722634822973, -5.127001587887087, -4.990383054086081, -4.878350520810807, -4.790310094640169, -4.725629434394699, -4.683670008357304, -4.663813067592024, -4.665479805047627, -4.6881461798938355, -4.731352876508315, -4.7947107987379844, -4.87790245129677, -4.980679420031565, -5.1028561187361134, -5.244299823235491, -5.4049169319072305, -5.584635288882858, -5.783382308821064, -6.0010586129894, -6.237506815510252, -6.492475135869482, -6.765575587399905, -7.056236668004417, -7.363650732321023, -7.686716643371343, -8.023978872257262, -8.373564983553058, -8.73312439101889, -9.099772239201439, -9.47004359127814, -9.839864088579017, -10.204544922525645, -10.55880837493689, -10.896853226663547, -11.212464590263743, -11.499173044512613, -11.750461153143213, -11.960013415754418, -12.121996410709716, -12.231352468011838, -12.284083906623826, -12.277502764856747, -12.210421392447035, -12.083263283100846, -11.89808080865554, -11.65847632836928, -11.369433274875758, -11.037073352509788, -10.668362661383288, -10.270792969977478, -9.852064156785815, -9.419790400808903, -8.98124728457295, -8.54317045992516, -8.111610243726908, -7.691841094856003, -7.288320888305774, -6.9046923025603695, -6.543817511814947, -6.207837269260865, -5.89824595113038, -5.615975629826671, -5.36148324465475, -5.1348364412471605, -4.9357948688132405, -4.763884898351608, -4.618466390590512, -4.498791070844935, -4.404052416596386, -4.333427364350055, -4.286110381323339, -4.261340533245437, -4.258422237010452, -4.276740409638682, -4.315770617584631, -4.3750847847427945, -4.454352912419665, -4.55334110661173, -4.671906136551217, -4.809986588368027, -4.967590548649084, -5.144779624355853, -5.341648975624096, -5.558302934809023, -5.79482568993093, -6.051246447107905, -6.327498487267521, -6.623371517027026, -6.938457044917339, -7.27208659019989, -7.623263211262011, -7.9905872530269235, -8.372178413790358, -8.765597323279987, -9.167771148227185, -9.574929612738135, -9.982559330252274, -10.385385944375868, -10.777394517972134, -11.151898724544331, -11.501667748973507, -11.819116942095269, -12.096562579217647, -12.326534306177459, -12.502129736459388, -12.617387936068253, -12.667650610923848, -12.649876750277691, -12.562877095900197, -12.407440840927093, -12.186337995633433, -11.904195062894889, -11.567255946791956, -11.183052791132567, -10.760019916709279, -10.307087005699138, -9.83328582563002, -9.347398610729089, -8.857667509424164, -8.371575494281828, -7.895700449019201, -7.435637855087971, -6.99598272845237, -6.580359231504716, -6.191485732059163, -5.831263783876474, -5.500880937387957, -5.200919168385333, -4.931462600806753, -4.692200003518782, -4.4825190732398505, -4.3015907789118355, -4.148443018201101, -4.022023514071759, -3.921252416227876, -3.8450653376690727, -3.7924477552578915, -3.7624617606293906, -3.7542661448246726, -3.7671307391180577, -3.8004458294787073, -3.8537273575517212, -3.926618493946969, -4.018887989484958, -4.130425606759959, -4.261234756522343, -4.411422317097112, -4.5811854637884535, -4.770795174890653, -4.980575925287606, -5.210880934376021, -5.462062186944022, -5.734434337495505, -6.028231531414448, -6.343556157981656, -6.680318640139376, -7.038167594108817, -7.416410118548625, -7.8139226663504235, -8.229053976021298, -8.65952295644743, -9.102316259051532, -9.553592510238833, -10.0086026959543, -10.461638734865712, -10.906024421774232, -11.334164088075788, -11.737663719124242, -12.107535919345521, -12.434494485015927, -12.709334291540811, -12.923380320840746, -13.068976814803687, -13.139975162361711, -13.132171934459336, -13.043647635470522, -12.874963558134992, -12.629189636761577, -12.311756965341775, -11.930150314232481, -11.493475479806925, -11.01194918855321, -10.496363540476391, -9.957573704430997, -9.406047637966397, -8.851503322611201, -8.302645450678451, -7.7670011821423675, -7.25084599205885, -6.759204716266439, -6.2959106304265715, -5.86370542326325, -5.4643645632328575, -5.0988351485414745, -4.7673761491972995, -4.469693742950293, -4.205066839551342, -3.972459889285705, -3.770621607358511, -3.5981693533596757, -3.453659680843789, -3.3356461127167365, -3.2427253541877095, -3.1735734163523537, -3.126973061756025, -3.10183390479271, -3.097206437049172, -3.112291053091866, -3.146443048956906, -3.199174367151376, -3.2701527114540094, -3.35919850776568, -3.4662800016154254, -3.5915066529194393, -3.735120823662761, -3.8974875907817417, -4.079082358954729, -4.280475773301931, -4.502315245646177, -4.7453022452792535, -5.010164256623223, -5.297620171971678, -5.608337663865746, -5.942880967790961, -6.3016474335038115, -6.684791278226456, -7.092133228395621, -7.523055319533756, -7.976381121337648, -8.45024306735263, -8.941941134335337, -9.447799208778987, -9.963030164360427, -10.481624000301503, -10.996278101139236, -11.49839196224772, -11.978150713174207, -12.42472000228655, -12.82656879761398, -13.171925236570404, -13.449353029200356, -13.648415313640827, -13.760371056464718, -13.778832554518345, -13.700305295078703, -13.524537892101613, -13.254630580153751, -12.896882845866275, -12.460397113289915, -11.956488828686918, -11.397975843830146, -10.798428503814698, -10.171456138260655, -9.530089161726105, -8.886293821853906, -8.250634419096622, -7.632078843707996, -7.037930085650893, -6.473858935683947, -5.94401094024412, -5.451162039719989, -4.99690093591253, -4.581820743918662, -4.205707203877085, -3.867714811892521, -3.566525621490834, -3.300488204459841, -3.06773609314669, -2.866286389079612, -2.694119923276753, -2.5492449702757174, -2.4297465794536706, -2.333823662306039, -2.25981585164573, -2.206222018386952, -2.1717121059806077, -2.1551337380904037, -2.155514861722446, -2.1720634570266677, -2.2041651821027557, -2.2513796481828248, -2.313435844494758, -2.3902271248762594, -2.4818060092768315, -2.58837894959096, -2.7103010931262554, -2.8480709588011024, -3.0023248245947056, -3.173830497756515, -3.3634799982387427, -3.5722805218948217, -3.8013428587926734, -4.051866221747098, -4.325118180083805, -4.622408102413039, -4.945052180158103, -5.294327759747834, -5.671414368509265, -6.077318534572875, -6.512779343822313, -6.978151765947306, -7.473265278273831, -7.997256432472029, -8.548375989363219, -9.123774788663283, -9.71927632965918, -10.329151540467354, -10.945917968970978, -11.560194702751176, -12.160652217084818, -12.734101527007805, -13.265766503220604, -13.739772958883517, -14.13986728303364, -14.45034302775972, -14.6571122199661, -14.74881588839852, -14.717836698976077, -14.561068799304389, -14.280322184975159, -13.88228957832514, -13.378074517208905, -12.782349608963797, -12.112268227575528, -11.386278225783961, -10.62298036344823, -9.840143808277201, -9.05394766355532, -8.2784732056732, -7.52543532875369, -6.804117569536928, -6.121463446546839, -5.482275296892744, -4.889476723167795, -4.344403107472778, -3.8470938486954336, -3.396568527075729, -2.9910763081708907, -2.6283132911121716, -2.305606318509703, -2.020064327466254, -1.7686997824514592, -1.5485235448203891, -1.3566167962112614, -1.1901836048190029, -1.0465874898199372, -0.9233750172558969, -0.8182890980349387, -0.7292742775813731, -0.6544759542198961, -0.5922351582401997, -0.5410801744064954, -0.49971611802357935, -0.46701329457755314, -0.4419950067548082, -0.4238253229181836, -0.4117971855296057, -0.40532113588889673, -0.4039148512045995, -0.40719362106622875, -0.4148618352681504, -0.4267055326506538, -0.44258601027023814, -0.4624344903220718, -0.4862478234848812, -0.5140851959955012, -0.5460658123423988, -0.582367519823684, -0.6232263445669409, -0.6689369149125841, -0.7198537523977878, -0.7763934090162562, -0.8390374476228669, -0.9083362544401893, -0.984913680863162, -1.0694725104025316, -1.1628007441019312, -1.2657786880765816, -1.379386812683122, -1.5047143303543462, -1.6429683963849573, -1.7954837874904608, -1.9637328386347168, -2.149335273703309, -2.3540675283272936, -2.5798707865741095, -2.828856830635778, -3.103310381726331, -3.405686013142407, -3.7385974562488915, -4.104795791252918, -4.507132454495322, -4.948501587642502, -5.431754853638291, -5.959580352330997, -6.534335441344864, -7.157822663157037, -7.830996834077777, -8.553593092159632, -9.323669769832279, -10.137068532086044, -10.986809164485372, -11.862459957041487, -12.74955487881513, -13.629167590385924, -14.477788525723659, -15.267674777644652, -15.967833114284595, -16.545735093210343, -16.969737413804143, -17.21200329268867, -17.251530884648805, -17.076763253122213, -16.687249608182274, -16.09398187822413, -15.318312458968919, -14.389674941772794, -13.342571764054235, -12.213386398797624, -11.037515896033073, -9.8471531121156, -8.669850942112735, -7.527834996348751, -6.437926761322761, -5.41189812008551, -4.457083678768065, -3.5771089691725293, -2.772632601992675, -2.0420384610114306, -1.3820435743257997, -0.7882088951140397, -0.2553535521433314, 0.2221193853633868, 0.6499740398320708, 1.0339573287844976, 1.3796671290480889, 1.6924623703327297, 1.9774059118743907, 2.239232571740697, 2.482336089335815, 2.710769858965188, 2.9282574465440327, 3.138209621412793, 3.343745264308053, 3.547714158960432, 3.7527198654969878, 3.961141488588775, 4.175153083471472, 4.396739785713758, 4.627709784290947, 4.869701361145302, 5.124184174036141, 5.392454035573772, 5.675620447915619, 5.974586102014085, 6.290017680258128, 6.622307393731079, 6.971524932981869, 7.337359906038733, 7.719055396770633, 8.115334332204613, 8.524321089807252, 8.9434626477194, 9.369455166613543, 9.798183774288571, 10.224685384129938, 10.643145893482151, 11.04694398774459, 11.428753209889436, 11.780711693068724, 12.094664330198972, 12.36247463607925, 12.57639517970651, 12.72947469884792, 12.815970876278323, 12.831731231267401, 12.774502081572642, 12.644130445954495, 12.442632937390622, 12.17412138896591, 11.844591582391464, 11.461597313622311, 11.03384448502121, 10.570745780964348, 10.081976698600727, 9.577067767103255, 9.065059021010205, 8.554231754671108, 8.05192272368525, 7.5644173077644545, 7.096912368967814, 6.6535360527702725, 6.237410718487401, 5.850745497108041, 5.494946693073764, 5.170736194790322, 4.878270304708179, 4.617253557243899, 4.38704380875897, 4.186746579551485, 4.0152975475424695, 3.8715331102584365, 3.7542494628602676, 3.6622510163909787, 3.594389213580561, 3.5495928375919923, 3.526890965731144, 3.525429653237673, 3.544483295056055, 3.58346153505814, 3.641912416245541, 3.719522343986802, 3.8161132703812353, 3.9316373489509604, 4.066169162930825, 4.219895469854838, 4.3931022334714065, 4.586158561862436, 4.799497005872554, 5.033589501952699, 5.288918080971883, 5.565939323370524, 5.865041432166441, 6.1864927159103855, 6.530380343114798, 6.896538370157337, 7.284464430394768, 7.6932251102589895, 8.121350972863285, 8.566724113786842, 9.026461945074207, 9.49680489303913, 9.973017379154687, 10.449315123972022, 10.918834496647042, 11.373661666298203, 11.804939350522922, 12.203066578067194, 12.558000341496692, 12.859658645942762, 13.098409792928193, 13.265618022483913, 13.354200031492628, 13.359136684916333, 13.277881144290912, 13.11061129004356, 12.860291147499243, 12.53252970386084, 12.135252342001941, 11.678223427141008, 11.172475052093192, 10.629703065684268, 10.06168769844097, 9.479784633322353, 8.894516613397634, 8.315279302157027, 7.7501606257264735, 7.205862625210923, 6.687708014531178, 6.199711397389654, 5.744695111018319, 5.32443206601669, 4.939800957497231, 4.590942595272335, 4.277409504429283, 3.998303504954156, 3.752398384542513, 3.538246393100114, 3.354268568792988, 3.198829616928408, 3.0702986786603104, 2.96709751412519, 2.8877377610840216, 2.830848897588484, 2.7951984433913664, 2.779705814541249, 2.783451061342006, 2.8056795647710504, 2.8458035712498817, 2.903401340279335, 2.978214359362867, 3.0701431454511745, 3.1792418196589827, 3.305711574794328, 3.4498929839704884, 3.612256968393445, 3.7933940694310744, 3.994001495104344, 4.2148672439328285, 4.456850385631731, 4.720856393292034, 5.007806172750084, 5.318597197729676, 5.654054957174071, 6.014872729065182, 6.401537687020925, 6.814241371325538, 7.252772897829508, 7.7163942926559095, 8.20369819296772, 8.712450595172687, 9.239424215569207, 9.780231550615722, 10.32917204778926, 10.879112590814595, 11.421426724664684, 11.946020066329597, 12.44147311593701, 12.895326638772111, 13.294525413288019, 13.626018691537958, 13.877490647225684, 14.0381673767271, 14.09962132399492, 14.056478296008244, 13.906932841172104, 13.652994749774566, 13.300426050242661, 12.858372835438402, 12.338740359540445, 11.75539413948145, 11.123286131948644, 10.457602382803195, 9.773011002709824, 9.083062051363221, 8.399762570256595, 7.733325084167751, 7.092070077653009, 6.48245274313225, 5.909180991386963, 5.375393215803131, 4.882868562017864, 4.432248597361849, 4.023254657230135, 3.6548905691824465, 3.325624686737835, 3.033548266717283, 2.7765096538229437, 2.5522251834136425, 2.358368673537769, 2.1926418678239608, 2.052828378978118, 1.936833638084413, 1.8427132779066422, 1.76869211859655, 1.713175664341002, 1.6747558158125837, 1.6522122175146037, 1.6445104382770794, 1.6507980619265026, 1.6703992942749455, 1.7028089539021272, 1.7476862334308048, 1.804848605110033, 1.874266179174469, 1.9560566559953465, 2.0504809957627845, 2.157939790016108, 2.278970298680569, 2.414244001011028, 2.5645644393196845, 2.730865039543898, 2.9142064720778214, 3.1157729798122396, 3.336866929620018, 3.5789006293118404, 3.843384192962228, 4.131907919793777, 4.446117279764047, 4.78767816140174, 5.15822955211941, 5.559320315070522, 5.992326248946377, 6.458343259772221, 6.958052380765137, 7.491552723090255, 8.0581598014804, 8.65616870339871, 9.282585785831422, 9.932838764798008, 10.600483191753709, 11.276934584251714, 11.95126777084816, 12.610136715747037, 13.2378767664381, 13.816850926589444, 14.328088016856151, 14.752228867405995, 15.07074685206631, 15.267347243635127, 15.32938964206974, 15.249136657308304, 15.024630330291128, 14.660040455459498, 14.165415080104687, 13.555868120432068, 12.85033519971229, 12.070090727845288, 11.23723439024094, 10.373326496163243, 9.498294936137237, 8.62967088371146, 7.78215265650547, 6.9674562480117785, 6.19438964381788, 5.469082498503185, 4.795308917316466, 4.174852315121024, 3.6078750285656627, 3.093267507396266, 2.6289623984942203, 2.2122064831407116, 1.83978886582917, 1.5082269713577299, 1.2139142909693623, 0.9532343778361175, 0.722646011694514, 0.5187442691385483, 0.33830186749795277, 0.1782946415898991, 0.03591450000037737, -0.09142730371811505, -0.2061042215460593, -0.31028384422253025, -0.40594114933237924, -0.49487431745796845, -0.5787221422728213, -0.658982284255399, -0.7370298146199881, -0.8141356477240005, -0.8914845807343913, -0.970192764850056, -1.051324507526673, -1.1359083632751992, -1.2249525128812644, -1.3194594588226398, -1.4204400770033399, -1.5289270771260672, -1.645987901824277, -1.7727370858033797, -1.9103480601874985, -2.0600643355505617, -2.2232099325729484, -2.4011988398251893, -2.5955431586323874, -2.80785944056282, -3.0398725243126945, -3.2934159598634367, -3.5704275660836595, -3.8729388033087018, -4.203055402349936, -4.562926704503631, -4.954700161965541, -5.380456752651232, -5.842122248517955, -6.34134857349178, -6.879358704627365, -7.456749390797215, -8.073245732089504, -8.727405243911171, -9.416273203653327, -10.134999089727515, -10.876435855126607, -11.630758848994978, -12.38516087363924, -13.12369908854617, -13.827384447637964, -14.474607405252826, -15.041975426581244, -15.505590064458126, -15.84271453217536, -16.03368548764585, -16.06382862016673, -15.925079959535923, -15.617022444638705, -15.147132018282555, -14.530173178507326, -13.786848787514527, -12.941943386210205, -12.02226677519445, -11.054693501303241, -10.064523068361032, -9.07428510409276, -8.1030164459324, -7.165963855626442, -6.274624215865048, -5.437020829523373, -4.6581211406341145, -3.940318735056368, -3.283923270138878, -2.6876215453163255, -2.1488888370529935, -1.6643412023037154, -1.2300274213455218, -0.8416638693728998, -0.4948182614811098, -0.185049188171533, 0.09199151884065353, 0.34048700459507364, 0.5644082639727658, 0.7674865561677198, 0.953201006933876, 1.1247777904195644, 1.2851979194115426, 1.4372112370804269, 1.5833546657036033, 1.7259732286511793, 1.867242581901176, 2.0091921580817593, 2.1537281826157155, 2.302655984137792, 2.4577011530326414, 2.6205291520868412, 2.7927630333542752, 2.975998906756907, 3.171818764767886, 3.381800204689579, 3.607522458555935, 3.8505680039086143, 4.112518834989496, 4.394946238829323, 4.699392648803758, 5.027343855660823, 5.380189544042976, 5.759169824029794, 6.165305211880984, 6.599307428642157, 7.061468573555016, 7.551526804638422, 8.068507961304674, 8.610544524631523, 9.174676507443102, 9.756643614409615, 10.350683593308036, 10.94935909115435, 11.543442696144782, 12.121896622481845, 12.671987221930983, 13.179572034845613, 13.629587109651455, 14.006741074418255, 14.296390864364055, 14.485536839154426, 14.563838321352447, 14.524524848155396, 14.36507484663339, 14.087554689308952, 13.698559276897347, 13.208756951898465, 12.632103758790596, 11.984838717375155, 11.284393127338047, 10.548341369907744, 9.793493672866902, 9.035193139172554, 8.286840107323089, 7.559634843444947, 6.862507383378522, 6.202192761916107, 5.58340767948034, 5.009088690682046, 4.480659231954724, 3.9983006107227608, 3.561210377004519, 3.1678372668899, 2.8160874060806966, 2.5034999201524726, 2.2273925647378747, 1.984979430580454, 1.773463685760988, 1.590108583739054, 1.4322900266633125, 1.2975337873069428, 1.1835402418002618, 1.0881991220006602, 1.0095964830036488, 0.9460157374289769, 0.8959343195388828, 0.8580172667967798, 0.8311087626823498, 0.8142224865664566, 0.8065314308825459, 0.8073576886932385, 0.8161626365402996, 0.8325377665853821, 0.8561963917467721, 0.8869663759352286, 0.9247839788916125, 0.969688862388396, 1.0218202966914687, 1.0814145696457327, 1.1488035739147326, 1.2244145564310491, 1.308770982609698, 1.4024944700732203, 1.5063077084969894, 1.6210382999142683, 1.7476233795439555, 1.8871148746262814, 2.040685190875227, 2.209633031651196, 2.3953889761895066, 2.5995202796763386, 2.8237341923336277, 3.0698788450014796, 3.3399404317837305, 3.636035019715314, 3.960392796962969, 4.315331938356322, 4.703218495861082, 5.126407823880296, 5.587162053489868, 6.087537111840003, 6.6292318957683545, 7.213391712958772, 7.840358421307526, 8.50936144929815, 9.218147831241431, 9.962557247949684, 10.73605868948434, 11.52928387071898, 12.329613331090354, 13.120896561456739, 13.883410501741704, 14.594172958459248, 15.227717367734458, 15.757392274504948, 16.157165099940478, 16.403793529862078, 16.479103995923253, 16.372024189357038, 16.080000262996073, 15.609510492802963, 14.975556696778513, 14.200223010685304, 13.310572822849814, 12.336254733279683, 11.307187701989408, 10.251612131107644, 9.194668576781437, 8.157541959827556, 7.157115556761575, 6.206026151566895, 5.312995804117076, 4.483324994789019, 3.719454698776546, 3.0215313231010743, 2.3879324780494877, 1.81573088662207, 1.3010873442846065, 0.8395727131613014, 0.4264241101244517, 0.056742932757000306, -0.27435662194552124, -0.5716401548311835, -0.8396790630803918, -1.0828031452003855, -1.3050740260171563, -1.5102745598030893, -1.701910222967385, -1.88321924586219, -2.057188879223151, -2.2265756844043225, -2.3939281752300565, -2.5616105073116033, -2.731826154767493, -2.906640677862111, -3.088002903487867, -3.277763897492606, -3.4776931154653754, -3.6894911703879996, -3.914798573581253, -4.1551997392920255, -4.412221419080278, -4.687324580579727, -4.9818885752152875, -5.297186253746146, -5.634348516756724, -5.994316656101958, -6.37778080115223, -6.785102897215113, -7.216223002006053, -7.670548403974214, -8.146826238878576, -8.643002350462492, -9.156071338649888, -9.681926679782004, -10.215223810370064, -10.749273743325558, -11.275989547338764, -11.785911355746489, -12.268336997034135, -12.711580471896193, -13.103374030233395, -13.431412137117686, -13.684015486803338, -13.850868903556115, -13.923764124636701, -13.89726398311342, -13.769202037003039, -13.540946677788664, -13.2173876182082, -12.80664242915081, -12.319519911458759, -11.768810006790034, -11.168487252167068, -10.532916008223856, -9.87613210852534, -9.211253532215865, -8.55004702277424, -7.902654527789049, -7.277465685558504, -6.681111854761665, -6.118552380867923, -5.593224041852548, -5.107227934239177, -4.661532660285505, -4.256178194026022, -3.8904694043353976, -3.563152384885098, -3.272569952188542, -3.0167950224222686, -2.79374222296755, -2.60125909345893, -2.437198878749292, -2.2994771644988092, -2.186114681592045, -2.0952685148644594, -2.0252537999448137, -1.974557777240189, -1.9418478430878408, -1.9259750074645898, -1.9259739821446589, -1.941060829800923, -1.970629045444123, -2.0142446827985183, -2.0716410266283916, -2.142713177358168, -2.227512800631781, -2.326243183821337, -2.4392546448602843, -2.5670402376323027, -2.710231623433989, -2.8695947894610905, -3.0460253075038466, -3.240542579219627, -3.454282388424761, -3.68848688150856, -3.9444908510132723, -4.223702963860603, -4.52758018939559, -4.85759334118275, -5.2151812026133575, -5.601690417038764, -6.018297731123249, -6.4659113662426435, -6.945047562905317, -7.455679663662448, -7.997057355101262, -8.567496782087758, -9.164144399885172, -9.782724056085806, -10.41728281729932, -11.059960526819667, -11.700818051011973, -12.327768815073128, -12.926665141872911, -13.48159006133346, -13.975395689013071, -14.39050326261868, -14.709941054795413, -14.918546606006206, -15.004209669830223, -14.958995986199865, -14.779984312001917, -14.46967696322687, -14.035908050591638, -13.491256980896193, -12.852056984719763, -12.137148411492, -11.366550270919236, -10.560210815532258, -9.736957816133874, -8.913716636729667, -8.10501351093822, -7.322741934478324, -6.576145745430026, -5.871962678145114, -5.2146729714086515, -4.606805340452399, -4.049262859559063, -3.5416422708828224, -3.0825295672676347, -2.6697622689027685, -2.300654465282973, -1.9721842871627389, -1.6811460110743917, -1.4242702174182682, -1.198316043189702, -1.00013965714458, -0.8267429347371199, -0.6753059492249801, -0.5432064890079662, -0.4280293927185055, -0.3275680240945313, -0.23981988677780772, -0.1629779779530173, -0.09541919054235659, -0.03569080577719504, 0.01750411049251501, 0.06532178318910103, 0.1087928096491656, 0.14883691203765254, 0.1862771296124745, 0.22185330654355134, 0.25623479105471114, 0.2900323245411933, 0.3238091259202655, 0.35809121529400795, 0.39337703824678893, 0.4301464670850746, 0.46886926750774394, 0.5100131227891267, 0.5540513125107015, 0.6014701431665205, 0.6527762309246476, 0.708503728807104, 0.7692215922843404, 0.8355409756205223, 0.9081228287045283, 0.987685801292858, 1.0750144932946717, 1.1709681178414677, 1.2764896245487634, 1.3926152902254434, 1.5204847580795342, 1.6613514724248417, 1.81659339835472, 1.9877237507055179, 2.1764015060855564, 2.3844411372751844, 2.6138208834235424, 2.86668859236203, 3.14536365825442, 3.452333348868462, 3.790240823541402, 4.161861570536664, 4.570063838302374, 5.017747419931626, 5.507753693034369, 6.04273829041399, 6.624995923469967, 7.256226645962222, 7.9372312267020915, 8.66752623541017, 9.44487336132598, 10.264727292657886, 11.119622785839239, 11.998545350035903, 12.886363202607848, 13.763436048155516, 14.605552135352823, 15.384364861830793, 16.068484553361646, 16.62530861996294, 17.023540282727513, 17.236160758084846, 17.24343470296864, 17.035411903361123, 16.61340698372904, 15.990117155833735, 15.188332667835374, 14.238506576362154, 13.175673992254888, 12.036279554954252, 10.855389211050065, 9.664586062155994, 8.49065403850282, 7.354995111181608, 6.273631542348702, 5.257611978029849, 4.313651191453796, 3.444867318249413, 2.651520648629407, 1.9316952909078922, 1.2818931335116028, 0.6975299026373536, 0.1733354006159622, -0.2963331792560344, -0.717253042258753, -1.0951602015953472, -1.4356247545929328, -1.74396660211055, -2.025202693425902, -2.284018375502436, -2.5247568071240196, -2.7514214924901297, -2.9676879961832174, -3.176921750707938, -3.3821993852014973, -3.5863315932902475, -3.7918859835485796, -4.001208447816998, -4.216442132028291, -4.439542925277214, -4.672290672169222, -4.916295291334639, -5.1729970534235825, -5.443660212287814, -5.729359235806405, -6.030956936436198, -6.3490737839521305, -6.684047911484631, -7.035885538815342, -7.404201963298238, -7.788154003180539, -8.18636552278965, -8.59684893198927, -9.01692719047813, -9.443162409130489, -9.871299295946036, -10.296233446062647, -10.712015959216656, -11.111906961125399, -11.488488603144086, -11.833846982853839, -12.139826159939933, -12.398350475563621, -12.60180197633729, -12.74342941551678, -12.817756965331801, -12.82095386037785, -12.751126125941665, -12.60849602699598, -12.395446352596526, -12.116421759314203, -11.777696546276658, -11.387033522876088, -10.95326988697024, -10.485870959501613, -9.994491690918638, -9.488579274365925, -8.977041054605905, -8.467990998658182, -7.968578176598974, -7.484892712379551, -7.021939144312637, -6.583664309157277, -6.173025827999272, -5.792088085571821, -5.442134173825896, -5.123784443230141, -4.837114444794343, -4.581767148819894, -4.357056085063564, -4.16205746850534, -3.9956904961960085, -3.8567857901686216, -3.7441425055142443, -3.6565749763652193, -3.592949954857308, -3.5522155710308043, -3.533423137260571, -3.535742851395538, -3.5584743396006755, -3.6010528724311666, -3.6630519342620724, -3.744182671856798, -3.8442906124334852, -3.963349858279772, -4.101454894513811, -4.25880976902311, -4.435714576985785, -4.632548707067114, -4.849750357905847, -5.087791484642891, -5.347147357251491, -5.628259648014857, -5.931491917578626, -6.257076312122229, -6.605050326281837, -6.975182747491653, -7.366888243276066, -7.779130891007508, -8.210317730635909, -8.65818549074454, -9.119685166853557, -9.590871985791411, -10.066811107179763, -10.541512643976013, -11.007911972543258, -11.457913288774861, -11.882513930158414, -12.272023575788445, -12.61638568357893, -12.905598021976195, -13.130214222022746, -13.281893084362894, -13.353948616338768, -13.34184314925358, -13.243566541150809, -13.059851509291235, -12.794194741937229, -12.452677348422803, -12.043604705705315, -11.577007920983327, -11.064063881040122, -10.516494455189655, -9.946000160570344, -9.363771027142421, -8.780101421615019, -8.204119391698605, -7.643627563896487, -7.105042939099977, -6.593417323785462, -6.112518198239928, -5.664950499737866, -5.252302219034234, -4.875299933660371, -4.533963809433888, -4.22775464349713, -3.955708314423731, -3.716555017286176, -3.508822333416687, -3.330922262326763, -3.18122312301687, -3.0581076533246283, -2.960018882969542, -2.885495432197475, -2.833197840689748, -2.801927442543584, -2.7906391481743547, -2.7984493370588157, -2.824639894542888, -2.8686592491144025, -2.9301210935722244, -3.008801321208382, -3.1046335302493517, -3.217703401254743, -3.3482418036276, -3.4966168406040294, -3.66332437184064, -3.848976796049287, -4.054289354078604, -4.28006334473066, -4.527165256769166, -4.796500603331427, -5.088981115254825, -5.40548362000933, -5.746798799424608, -6.1135678083022595, -6.506204793604856, -6.924803392050052, -7.369025864022451, -7.837974297815864, -8.330044887987732, -8.842768458223965, -9.372643587379784, -9.91497277473849, -10.463717029767196, -11.011389644467535, -11.549014922036273, -12.066180990069155, -12.551215821274676, -12.991510409430594, -13.374000541129783, -13.685800176159862, -13.914952979690044, -14.051242239230247, -14.08697547209581, -14.01764824128794, -13.84239568304737, -13.564163437065542, -13.189567761572249, -12.728460576583416, -12.19325706122075, -11.598113915681234, -10.95805720595883, -10.288152936665279, -9.60279217193985, -8.915135207399173, -8.236731389590817, -7.577307871213351, -6.944705024590807, -6.344927600623213, -5.78227885399427, -5.259547186005305, -4.778219692458688, -4.338702797199319, -3.940535820239208, -3.5825882718582416, -3.2632356294193725, -2.9805113308668503, -2.732234806885407, -2.5161167445736736, -2.329843569109966, -2.171143561412697, -2.037837148227348, -1.927873859252432, -1.8393582792371836, -1.770567106322712, -1.719959185336941, -1.6861801256108433, -1.6680628752179887, -1.6646254013391384, -1.6750664226431036, -1.6987599337637918, -1.7352491614268921, -1.784240395218321, -1.8455970441819614, -1.919334170758616, -2.0056136433386498, -2.1047399801328526, -2.2171568698508115, -2.343444318985161, -2.484316164198092, -2.640617812829609, -2.8133237768138275, -3.0035345299047593, -3.2124720364390673, -3.44147317797557, -3.6919799925926253, -3.9655253853474126, -4.263712631545528, -4.588186680209428, -4.940594747754425, -5.3225328167467545, -5.735475370096088, -6.180683454541605, -6.659087595337109, -7.17114103774701, -7.71664006861265, -8.294509548606651, -8.902554577434163, -9.537184377358289, -10.193120966592597, -10.863115009158323, -11.537702249032069, -12.205047353994347, -12.850930492321616, -13.458940510432688, -14.010930957868927, -14.487775821471775, -14.870423200852901, -15.14118968804682, -15.28517648697026, -15.291633474151562, -15.155071315805934, -14.875936931115584, -14.46072790577353, -13.92151695641748, -13.274960757069788, -12.54095139491193, -11.741112536207382, -10.897339153807522, -10.030538682508357, -9.159669921330442, -8.301112620883705, -7.468349774582971, -6.671911273226067, -5.919513339637897, -5.216327342208887, -4.565320396901521, -3.967622252781253, -3.422886324955661, -2.929624142258124, -2.485501718506124, -2.0875931565906214, -1.7325911909238618, -1.4169772827084248, -1.1371553498137703, -0.8895538689789976, -0.6707011507047065, -0.4772783721719426, -0.3061545005297146, -0.15440675342843407, -0.019329729574041624, 0.10156417430661221, 0.21055085919176442, 0.3097053510529462, 0.40091593013288795, 0.4859004239328786, 0.5662237857900462, 0.643316290827628, 0.7184918403568872, 0.7929660629887257, 0.8678739244467663, 0.9442867368023496, 1.0232284822437694, 1.1056914241773703, 1.1926510245666007, 1.285080209123047, 1.383963026017537, 1.4903077568547989, 1.60515952440773, 1.7296124192481446, 1.8648211404718416, 2.0120120954188123, 2.172493838315681, 2.347666643747496, 2.539030895932566, 2.748193825194364, 2.9768739307638183, 3.2269021888343508, 3.5002188076888796, 3.7988638641508756, 4.124959869614123, 4.48068335324621, 4.8682221815428655, 5.289714387059562, 5.7471634583531594, 6.24232428087684, 6.7765532018435675, 7.350615772104289, 7.96444629316848, 8.616855501048782, 9.305187111130847, 10.024931307821094, 10.769314757729848, 11.528901719890536, 12.29126051208489, 13.040769649390985, 13.75865546821609, 14.42335884053942, 15.011314317499233, 15.498182114597611, 15.860497458746286, 16.07760418740925, 16.13363844292158, 16.01926013674945, 15.732825399300316, 15.280769028040794, 14.677109713573794, 13.942162329863521, 13.100688426209063, 12.17979707786015, 11.206907614523994, 10.208018242081714, 9.206422498070495, 8.221912545586164, 7.270428734958536, 6.364067610647872, 5.5113439193975475, 4.7176074310759875, 3.9855327639990983, 3.3156219786230925, 2.7066802203284515, 2.1562415534383503, 1.660934611318942, 1.2167861044305097, 0.8194653913427546, 0.46447606732705243, 0.1473016777442782, -0.1364871521752709, -0.39115734826827453, -0.620763645918841, -0.8291191472464525, -1.0197816709878793, -1.196052138993389, -1.3609819159493872, -1.517386602545255, -1.667864284640076, -1.8148166217798924, -1.960471550130313, -2.1069065887809275, -2.2560720326551733, -2.4098133211990205, -2.5698922154959263, -2.7380062810434764, -2.915806309934378, -3.104911297530005, -3.3069205173357425, -3.5234222081708344, -3.755998185313446, -4.006223631509895, -4.275661040778201, -4.565847101386329, -4.878271018704289, -5.214342499577952, -5.575347334978448, -5.962388309568501, -6.376308833645891, -6.8175972272947485, -7.286269287341037, -7.781728203487547, -8.302602042666456, -8.846561709968222, -9.410125865941321, -9.988464171830097, -10.57521611770167, -11.162350130935183, -11.7400940109399, -12.29697296742701, -12.819993000152365, -13.29500127130814, -13.707241730208514, -14.042099097291326, -14.28599284067566, -14.427346566049518, -14.457527781122664, -14.371636699841254, -14.169028973630601, -13.853488368595473, -13.433016431003383, -12.919265951654767, -12.326698320403585, -11.671580387218672, -10.970946516007272, -10.241637829141647, -9.499501036890146, -8.758792014930101, -8.03179458735096, -7.328637816914985, -6.6572784689479345, -6.023607840569559, -5.431642453151727, -4.883762930986411, -4.380972503193794, -3.9231541272211943, -3.5093121184367826, -3.1377898393899817, -2.8064593368290582, -2.512881880599783, -2.2544403978706122, -2.0284460248743774, -1.8322216395620898, -1.6631654628092734, -1.518797836452441, -1.3967940545235742, -1.2950058840352876, -1.2114741002101104, -1.1444340270229987, -1.092315876573909, -1.0537411488904591, -1.0275164374292276, -1.0126255183843695, -1.0082204969005701, -1.0136126181791745, -1.0282632290027383, -1.0517752021200255, -1.0838851329806325, -1.12445647006566, -1.1734737065256184, -1.2310377123398966, -1.2973622516750474, -1.3727716796773641, -1.45769980716256, -1.5526898821396533, -1.658395612719535, -1.7755831295207973, -1.90513374237238, -2.0480473299827, -2.205446051419153, -2.3785781167610693, -2.5688211471983333, -2.777684518192502, -3.0068099048144403, -3.2579690271136377, -3.5330572959976703, -3.834081467073787, -4.163139200827927, -4.522387577194035, -4.913997063334118, -5.340086501608196, -5.80263390170975, -6.303357012561157, -6.843557149942379, -7.423919476464419, -8.044264038509025, -8.703244134428061, -9.397993477723311, -10.123731215097926, -10.873346057146009, -11.636996918679676, -12.401787160711436, -13.151590435909362, -13.867122464727142, -14.526357725642118, -15.105371730879103, -15.579642648405652, -15.925765020513866, -16.123426848425147, -16.15740118978282, -16.019240577621343, -15.708368419241095, -15.232348500880583, -14.606267070380705, -13.85133584373732, -12.99296668448007, -12.058639423097418, -11.075872994140472, -10.070533907456015, -9.065610294768925, -8.080477410686633, -7.130604087091596, -6.22760668227936, -5.379544136854201, -4.591355632521359, -3.865361142559362, -3.2017672083996476, -2.59914067579544, -2.0548295476509715, -1.5653220999821935, -1.1265433506563314, -0.7340927472299295, -0.3834294172169357, -0.07001226624761951, 0.21059771890942014, 0.46266615940668976, 0.690238889425564, 0.8971152257062335, 1.0868364789757965, 1.2626860313294697, 1.4276979707945423, 1.584671844449147, 1.7361915938442725, 1.884647103405833, 2.0322571539010075, 2.181092833368645, 2.3331006600623985, 2.49012478183197, 2.6539278048867687, 2.826209816765451, 3.008625180300893, 3.2027967002032267, 3.410326680514715, 3.632804313065906, 3.8718087056740447, 4.128906687208798, 4.405644323384859, 4.703530834239622, 5.024013337215971, 5.36844056216956, 5.738013424175292, 6.133720143400544, 6.556253537425995, 7.005908299635008, 7.482456481129169, 7.985000915603157, 8.511807492281976, 9.060120723841548, 9.625970542066117, 10.203984194870536, 10.787222329464, 11.367066544980513, 11.933190609376883, 12.473652033370197, 12.97513887342895, 13.423398586851771, 13.803857783663354, 14.102414670612669, 14.306353045340584, 14.40529265452487, 14.392065504548452, 14.26339979236748, 14.02030850021833, 13.668118009467245, 13.216126290841803, 12.676937423196568, 12.065565620690505, 11.398427506588732, 10.692342206042508, 9.96363932631649, 9.227442231610528, 8.49715811754783, 7.784174841257369, 7.097741607309971, 6.444997625587414, 5.831108600811666, 5.259472762498982, 4.731963971420692, 4.249186512514334, 3.810723399076983, 3.4153664237930297, 3.061321104777612, 2.7463836836667594, 2.468089797425028, 2.2238362673685534, 2.0109783967072477, 1.8269056678167757, 1.669098888303945, 1.5351717457422216, 1.422899530275887, 1.3302375059392344, 1.2553311148860662, 1.1965198894508728, 1.1523366607858265, 1.1215033832896337, 1.1029246920684952, 1.0956800102648414, 1.0990149786550696, 1.1123327221394455, 1.1351853807787484, 1.1672662289760494, 1.208402614325179, 1.2585498741889452, 1.3177863389274365, 1.3863094770350437, 1.4644331983774987, 1.5525863027424165, 1.651312021957616, 1.7612685753958062, 1.883230620454841, 2.018091431923361, 2.1668656190661, 2.330692032665638, 2.5108365372697983, 2.708694121595373, 2.9257896894018725, 3.1637765372849627, 3.4244315858561225, 3.7096456919369296, 4.021407149556771, 4.361775973590999, 4.732845850660219, 5.136689992538971, 5.57528628184046, 6.050416337863707, 6.563532669418105, 7.1155873861264505, 7.706816774855395, 8.336477163220378, 9.00253113333829, 9.701289050187707, 10.427019543537622, 11.171556657457481, 11.923947629539864, 12.67020480372256, 13.393243203063228, 14.073096235335434, 14.68749691722841, 15.212883252921372, 15.625827292006909, 15.904802015606824, 16.032102011342563, 15.99565314440091, 15.790412082793353, 15.419095223894852, 14.89208610119689, 14.226527281065314, 13.444757961248294, 12.572367508595521, 11.636170750482934, 10.662374156678698, 9.675117106174138, 8.695471916072302, 7.740898238448372, 6.82508701239275, 5.9580995097720715, 5.146702554182214, 4.394812506411659, 3.7039795260526525, 3.0738644315166663, 2.502677856622875, 1.9875659740668432, 1.5249368404219235, 1.1107280072529142, 0.7406196920046983, 0.4101999543549422, 0.11508871860948976, -0.14897252550504744, -0.3860590562921461, -0.6000237349429166, -0.794475527506008, -0.9727717073759764, -1.13802040503342, -1.2930907798569065, -1.4406286164257958, -1.5830755789839523, -1.7226907417547102, -1.8615733329329678, -2.001685780698397, -2.1448764829299685, -2.2929017507180363, -2.4474465120575335, -2.6101434336364826, -2.7825901269240942, -2.9663641021574065, -3.163035075143056, -3.374174171549343, -3.6013594254180834, -3.846176829394545, -4.11021598389171, -4.395059152184228, -4.702262248974598, -5.033325977768991, -5.389655009818381, -5.77250279255918, -6.182899353000884, -6.621559334936617, -7.088767728998106, -7.584241524158432, -8.106966449785402, -8.655010465899574, -9.225318861603725, -9.813500695128239, -10.413622377745618, -11.018031476411988, -11.617242205420633, -12.1999201619693, -12.753008267278517, -13.262032560316564, -13.711615627898782, -14.086202417632565, -14.370970186896583, -14.552855533540932, -14.621593209149648, -14.570636738228151, -14.39782837364608, -14.105711557884762, -13.701430102099463, -13.196223526404317, -12.604591588253983, -11.943247164539615, -11.229995833577465, -10.482671764097494, -9.718229654165663, -8.952051978004421, -8.197490981251745, -7.4656322266399755, -6.765245531075561, -6.102879211534673, -5.483052495164744, -4.908505816402012, -4.38047630122902, -3.8989743370989456, -3.4630447649842986, -3.071002949911276, -2.7206407271251845, -2.4094008292168447, -2.1345207991605335, -1.8931487240126466, -1.6824338833851822 ], "y": [ 2, 2.2422629262445617, 2.5110756069581446, 2.809908936837427, 3.1425372467549133, 3.5130725121156345, 3.9259932446219055, 4.386165346622538, 4.8988505006633565, 5.469696436871482, 6.1046999470034535, 6.81013087504218, 7.592400445172257, 8.457851589532464, 9.4124422906782, 10.461284162283583, 11.607990330634008, 12.853778286254293, 14.196270119767224, 15.627936953242017, 17.134158062829833, 18.69091797478864, 20.262264879076167, 21.797815342734218, 23.230824437591192, 24.47762667145014, 25.43951871781443, 26.008271149736576, 26.07617943980539, 25.550683253114297, 24.37201190323504, 22.530358183229094, 20.077591818865297, 17.12856941877262, 13.849455126468099, 10.434624635487243, 7.077893326095299, 3.945805297835915, 1.1594943003889817, -1.211987697297558, -3.147968376804813, -4.665745302511483, -5.807700092730938, -6.62923783786706, -7.1893595421101555, -7.544353818607871, -7.744261967742083, -7.83141889430667, -7.840344648159551, -7.798394069669328, -7.726745834165347, -7.641470405545405, -7.5545336699290795, -7.474671215717027, -7.40811488011033, -7.3591778314808405, -7.3307156555986035, -7.324483397482755, -7.341409567384743, -7.381802923173612, -7.445506956753227, -7.532013204324039, -7.6405423193894215, -7.770099558973936, -7.919510188358757, -8.087438951817544, -8.27239682644334, -8.472738125151498, -8.68665003693014, -8.912137028950275, -9.147002168982407, -9.388827573049536, -9.634956273269875, -9.882477929572477, -10.12822121608777, -10.368755489519867, -10.600404823626787, -10.819277194067443, -11.02131143121263, -11.202343969543398, -11.35819653127045, -11.484784595081692, -11.578244839356378, -11.63507776528448, -11.652299551738452, -11.627595072702084, -11.559462393193094, -11.447336670776387, -11.2916845068118, -11.094055696406082, -10.857086441151857, -10.584448405643283, -10.280743903166336, -9.95135167911583, -9.602232544223458, -9.239707702036968, -8.87022512032812, -8.500129914313156, -8.135453670175222, -7.7817350839462085, -7.443880655164478, -7.126069994895113, -6.831706294451805, -6.563408882688114, -6.323041981191895, -6.111772340423377, -5.9301474781848205, -5.778186491959491, -5.655476160772152, -5.561266401727423, -5.494560171524398, -5.4541947105252016, -5.438912125283565, -5.447418131536223, -5.478428946444265, -5.5307068070823435, -5.603084945494845, -5.694483055791256, -5.8039145573142035, -5.930486612565854, -6.073394092794905, -6.231908380298834, -6.40536180099307, -6.593128346140337, -6.794601189658523, -7.009167428547997, -7.2361803701945915, -7.474929662872047, -7.724609568563631, -7.984285729507144, -8.252860892701845, -8.529040196468394, -8.811296886795176, -9.097839590894669, -9.386582616631147, -9.675121134718685, -9.960713501262793, -10.240273365879132, -10.510374533134613, -10.767271738057685, -11.006940482919036, -11.225138786392113, -11.417492936891035, -11.57960824641427, -11.707204109776136, -11.796270536846691, -11.843240856679541, -11.845172548119955, -11.799925080943504, -11.706323705705728, -11.564293628653063, -11.374952449923892, -11.140648789484484, -10.864939118706822, -10.552499580717917, -10.208975263810858, -9.840775425651591, -9.454828449111924, -9.05831385550985, -8.658391022517339, -8.261943421107999, -7.875354882973514, -7.504330453008365, -7.153769155295806, -6.827690915486922, -6.529215026585315, -6.260584129376429, -6.023224838125454, -5.817835258857147, -5.6444893795814854, -5.502749362680289, -5.391778012786298, -5.31044551079701, -5.257426202456434, -5.231282793924477, -5.230536774384798, -5.2537247143594925, -5.299441190855614, -5.366369285412494, -5.453300040533768, -5.559142303006687, -5.682924372709769, -5.823788759694835, -5.980981259817567, -6.153835102877829, -6.341751161719857, -6.544174723555299, -6.760569245384139, -6.990387432306105, -7.233039869052213, -7.487861425905713, -7.7540756293365245, -8.030757311714265, -8.316793939192348, -8.610846303907245, -8.911309476871926, -9.216275255880198, -9.523497831053211, -9.830364800190905, -10.133876188365631, -10.430635311114571, -10.716853391359013, -10.988373780277955, -11.24071835310038, -11.469160052060397, -11.668824096029867, -11.834819032107598, -11.96239669698112, -12.047137445650336, -12.085153829282932, -12.073302658512317, -12.009391589458797, -11.89236547107213, -11.722454743295685, -11.501270314781797, -11.231831129279476, -10.918516076682836, -10.566938010065341, -10.183745173457828, -9.776362634831312, -9.352692280961596, -8.920794151282063, -8.488573006431219, -8.06349251120938, -7.6523353564733725, -7.261021812183853, -6.894492762920299, -6.556656972405591, -6.250396712140512, -5.977622445449376, -5.73936476788502, -5.535891258758919, -5.366836655110021, -5.2313362428804995, -5.128154459468582, -5.055802897126813, -5.012643998504781, -4.996978484106301, -5.007116058826079, -5.041429864351101, -5.098396041343265, -5.176619950325738, -5.274850879792593, -5.391987011271662, -5.527072293135605, -5.6792866558622235, -5.847930919291236, -6.03240702245045, -6.2321946580033165, -6.446824708550863, -6.675849801298927, -6.918812226494724, -7.175209337731781, -7.44445652167438, -7.725847863039296, -8.018514601742424, -8.321381859336887, -8.633124147619997, -8.952120468645758, -9.276410477735554, -9.60365379829341, -9.931094212315395, -10.255532257089461, -10.573310184760652, -10.880312988115696, -11.171990643389496, -11.443406180511648, -11.689314197555683, -11.904273285058899, -12.08279430233276, -12.219523913370434, -12.309459532631019, -12.348187732844586, -12.332133653189235, -12.258806381849643, -12.127019575892446, -11.937067468724496, -11.690835841485356, -11.39183148718292, -11.045119756359405, -10.657167978886577, -10.235602012119584, -9.788892649184499, -9.325995283276994, -8.855972042890068, -8.387625654448362, -7.929172003167073, -7.487972861985238, -7.070342239607376, -6.681431600542001, -6.325191276986227, -6.004399450671613, -5.720745580017969, -5.474953209662344, -5.266927074286587, -5.095910741240718, -4.960643376838239, -4.859507024814874, -4.790658509029135, -4.752142571721802, -4.741984878790173, -4.758265191791097, -4.799171921668095, -4.8630399963321524, -4.948374255639476, -5.0538606861948825, -5.1783676555969675, -5.320938912755382, -5.480780177568864, -5.6572405378985025, -5.849789658370735, -6.057991538123135, -6.281475290678228, -6.519903223749573, -6.772936296947784, -7.040196988469756, -7.32122947592972, -7.615457089220475, -7.922137046832551, -8.240312646266572, -8.568763327412487, -8.90595337580819, -9.249980496570421, -9.598526074281517, -9.948809637380005, -10.2975507041833, -10.64094241234779, -10.974641582351703, -11.293780982371612, -11.593009771712993, -11.866568091018383, -12.108401019590186, -12.312315339372976, -12.472180001858343, -12.582167475985658, -12.63702852958691, -12.632385486572042, -12.565029865313187, -12.433195677879104, -12.23678746438941, -11.977534256252094, -11.659048865956535, -11.286776410117417, -10.867827480289803, -10.4107029392436, -9.924928397909575, -9.42062845503283, -8.908075621766862, -8.397251282074192, -7.89745300808085, -7.416975105246648, -6.962879618887732, -6.540864113436257, -6.155222555846711, -5.8088877022811225, -5.503538256785646, -5.239751745737685, -5.017184201317212, -4.834759938660682, -4.6908575211844825, -4.583482183343364, -4.51041812994234, -4.46935707682008, -4.458002248243953, -4.474148617087449, -4.515741299186757, -4.5809149017744, -4.668016542739767, -4.775615527022974, -4.902502243342306, -5.047678597109761, -5.210341866069988, -5.389863473959015, -5.585763856077228, -5.79768406992322, -6.025354770564723, -6.268562678400744, -6.5271145807849456, -6.800798737210416, -7.089343457427433, -7.392372584852482, -7.709357674114391, -8.039566735393437, -8.3820096817962, -8.735380839171082, -9.097999543350845, -9.467750211753762, -9.84202407928698, -10.217665830017264, -10.590929516120191, -10.957448507981741, -11.312226140994705, -11.649654481628966, -11.963568446803153, -12.247342817589706, -12.49403912481814, -12.696605157461514, -12.848129096340026, -12.942141375915996, -12.972954422958074, -12.936020238978235, -12.82828148102512, -12.648484743049671, -12.397422662209514, -12.078073415551717, -11.69561279509387, -11.257284426461332, -10.772129183287957, -10.250590802974145, -9.70402767720842, -9.14417507953142, -8.582603834808552, -8.030221751488613, -7.496856048297619, -6.99094281114304, -6.519335914998493, -6.087233843120207, -5.6982118423371615, -5.354339072134042, -5.0563567360050925, -4.803892838208032, -4.595691637715721, -4.429840025993639, -4.303977337149696, -4.215480613190927, -4.161620512805079, -4.139686755045476, -4.147084316234622, -4.181402987297587, -4.24046379141376, -4.322346000213613, -4.42539839554698, -4.548238143013459, -4.689740153478408, -4.849019315093016, -5.02540745640507, -5.218426459303013, -5.427758434072678, -5.653213550082008, -5.894695819766716, -6.152166773769468, -6.425606845628762, -6.714974095538769, -7.0201597976485814, -7.340940397314571, -7.676925385726635, -8.027500717181574, -8.3917677341904, -8.768477855880738, -9.155963599983785, -9.55206797616896, -9.954073793117239, -10.358637777339528, -10.761731799383352, -11.158600881621197, -11.543742516056833, -11.910918097378268, -12.25320566808842, -12.563103930113428, -12.832696400550802, -13.053881700719323, -13.218671660525217, -13.319551997515529, -13.349891819307038, -13.30438049103033, -13.179457317165824, -12.97369660903559, -12.688103876166599, -12.32628272345718, -11.894439846343694, -11.401211763533881, -10.857314099358248, -10.275039183777206, -9.66764363683594, -9.048683401193676, -8.431357641858654, -7.827919563241649, -7.24920015963734, -6.704273925643889, -6.200276539112208, -5.742367115653583, -5.333814341117045, -4.976177275999611, -4.669549170154247, -4.412833483231611, -4.204026084596522, -4.040483661013325, -3.9191646645708667, -3.836835033874966, -3.7902357136308917, -3.7762125851504393, -3.791811791265211, -3.8343447891895344, -3.9014279938557843, -3.9910019302152837, -4.1013343944342315, -4.231011494125805, -4.378919876648796, -4.544222805599079, -4.726331901444142, -4.924876030286039, -5.139668278925635, -5.3706714279234795, -5.617962066892778, -5.881693184292422, -6.162054883053152, -6.4592325245698925, -6.773361717846246, -7.10447932458661, -7.452469690135967, -7.817005403517398, -8.197482061958516, -8.592946843431768, -9.002021141551898, -9.422818224505487, -9.852857859549742, -10.288980915186652, -10.727268752762999, -11.162973598602523, -11.59046833000075, -12.003225976702362, -12.393840957275355, -12.754105188150506, -13.075151992271861, -13.347678867715214, -13.562256252662866, -13.709722677539645, -13.78165409243953, -13.770890820522762, -13.672080808829852, -13.48219742579555, -13.200973714311617, -12.831197647020769, -12.37881788110678, -11.852827369315188, -11.264914859226028, -10.62890504107788, -9.960034708668877, -9.27413563168887, -8.586804885453178, -7.91264251067796, -7.26462252969026, -6.653641320247741, -6.088261368559627, -5.574644027690952, -5.116645368809157, -4.716037178876443, -4.372810616280895, -4.085521472102651, -3.851643060609875, -3.667899577492558, -3.5305629564345566, -3.435703497512865, -3.3793911902585023, -3.3578492417562114, -3.3675642511646218, -3.4053592019105166, -3.46843585805558, -3.554392965422685, -3.6612260954497757, -3.7873141221471176, -3.931396355751351, -4.092543572699966, -4.270125288062113, -4.463774949908457, -4.673354128687673, -4.898916265755445, -5.140670134830115, -5.398942828849766, -5.6741418020231045, -5.966715273979407, -6.277110117024078, -6.605726212124182, -6.952866170428056, -7.318679267641652, -7.703098505830487, -8.105769846745073, -8.52597294836838, -8.962533212239284, -9.413725661870318, -9.877172196080652, -10.349735144866361, -10.827411851344163, -11.305237217094078, -11.777203721373482, -12.236211214768426, -12.67406148380466, -13.081514719599907, -13.44842592939507, -13.763978166796559, -14.017025313656314, -14.19654922720268, -14.292224086993299, -14.295064356008965, -14.198115392516959, -13.997127583154576, -13.691140656034532, -13.28290014914017, -12.77903541507599, -12.189948142605207, -11.529395024094363, -10.813786770353785, -10.06126786724453, -9.290671693495812, -8.520462722773917, -7.7677741344412485, -7.047629414529448, -6.372404061987359, -5.751546965984445, -5.191546585725969, -4.696101937617581, -4.266443640049863, -3.9017464245859093, -3.5995795440984013, -3.356351382048274, -3.1677172385661883, -3.0289314353845658, -2.935135164282087, -2.8815795122252923, -2.86378829700884, -2.8776686324543133, -2.919578039966981, -2.986357256268616, -3.075336991330878, -3.18432581872828, -3.3115853535002677, -3.4557970436847483, -3.616024376329274, -3.7916730079473475, -3.9824504912440783, -4.188326667907099, -4.4094952739031985, -4.646336653853786, -4.8993815036801065, -5.169274903964621, -5.456739826500979, -5.762539104743944, -6.087434640809688, -6.432142483126761, -6.79728229805233, -7.183319667851308, -7.59049964498582, -8.018770076719335, -8.46769343803447, -8.93634633812769, -9.423206589143092, -9.926028809732772, -10.441711104616301, -10.966157495996114, -11.494143555720992, -12.019196092261442, -12.533501662849757, -13.027862802525416, -13.491724623737436, -13.913296967928362, -14.27979739308659, -14.577836536769984, -14.79395839342243, -14.915333213644692, -14.930576483459578, -14.830648649057318, -14.609752082158515, -14.266129837342147, -13.802653182015144, -13.227094563469057, -12.552009619449802, -11.794199860438717, -10.973785934987903, -10.112983051360757, -9.234715476108684, -8.361229656526742, -7.512858630343789, -6.707057431645934, -5.957779037092172, -5.275205904092038, -4.665803844240345, -4.132632394618007, -3.6758293468903394, -3.293187422521751, -2.980752032147202, -2.733386446100811, -2.54526959191271, -2.410308502375553, -2.322460839403061, -2.27597218306044, -2.2655382763699987, -2.286404923082558, -2.334418641823174, -2.406040280185484, -2.4983321289931775, -2.608927219387296, -2.735987619344746, -2.8781570329418513, -3.0345111498183344, -3.2045085805134237, -3.387943887643542, -3.584903601398178, -3.795725589897879, -4.020961644558942, -4.26134286580861, -4.517747162232431, -4.791167913556867, -5.082682673077587, -5.393420619887991, -5.724527283211707, -6.077124890547403, -6.452266508103646, -6.850881985706369, -7.2737135873765535, -7.721239111978415, -8.193580346768725, -8.69039491196352, -9.210750047175608, -9.752977777618751, -10.314512331893921, -10.891712833827047, -11.47967735369641, -12.072058457929174, -12.660895535716033, -13.236485234441373, -13.787317818299995, -14.30011328883386, -14.759995198001754, -15.150840268218293, -15.455835327968012, -15.658258191294687, -15.74247345825918, -15.695098216628528, -15.506250317718692, -15.170750447464496, -14.689118311741046, -14.068196093922023, -13.321256807032803, -12.467516289517448, -11.531053383894143, -10.539240663680717, -9.52087233684342, -8.504226382503258, -7.515298213458222, -6.5764009630085125, -5.705250899857194, -4.914569970424337, -4.212158677261943, -3.6013395958388204, -3.0816459016965108, -2.649630669740116, -2.2996920539465253, -2.0248376714482097, -1.8173417588122143, -1.6692741075870106, -1.5728994182192197, -1.5209581601913738, -1.506846801688607, -1.524717368162049, -1.5695158888323486, -1.6369769042529965, -1.723588366943992, -1.82653822160225, -1.943651075637245, -2.073321300548852, -2.2144467202052027, -2.366365724997111, -2.5287994459158214, -2.701799844267808, -2.8857039619510276, -3.081094125881079, -3.288763615684679, -3.5096870734233803, -3.7449947691077505, -3.995949749609197, -4.263926638250399, -4.550390935242705, -4.856877348319504, -5.184965605602592, -5.536251964677335, -5.912314421412838, -6.314669339369722, -6.7447169101945486, -7.203672560709597, -7.692481128617737, -8.211710540391131, -8.76142160853131, -9.341010935580773, -9.949024758484253, -10.582943232595484, -11.238937042242146, -11.911602012666837, -12.593685638715575, -13.275820392285153, -13.946298852962649, -14.59092590143458, -15.193002425173999, -15.733500008623922, -16.191491175033516, -16.544892724460876, -16.771557611530838, -16.850710893643434, -16.76466377868621, -16.500666598474346, -16.052687772338384, -15.422850818376427, -14.622252513834155, -13.670936024724682, -12.596912341977257, -11.434276388710344, -10.220646526529539, -8.994276141502608, -7.79124655718668, -6.643111789453773, -5.57525389760508, -4.60605668624347, -3.7468571787466947, -3.0025247389222582, -2.372461059127798, -1.851809037351448, -1.4326907778464284, -1.1053451326734822, -0.8590891136179903, -0.6830726099822437, -0.5668286201200243, -0.500642556540368, -0.47577184461160743, -0.4845504347435291, -0.5204100350888738, -0.5778440030526542, -0.6523358356858255, -0.7402677945709433, -0.8388212391736554, -0.9458765097922945, -1.0599174664520008, -1.1799437585022705, -1.3053924125439116, -1.4360693761842138, -1.5720909844364455, -1.7138348802606245, -1.8618996590987529, -2.017072417082439, -2.1803032489763354, -2.3526857701220885, -2.535442740334237, -2.729915875408158, -2.9375589531108863, -3.159933326342254, -3.398704929061564, -3.6556418188156528, -3.9326112065289793, -4.231574790851473, -4.554581009925806, -4.90375257153516, -5.281267270462722, -5.689329674986585, -6.13013073957946, -6.605791774179567, -7.118288531697727, -7.669350394577909, -8.260328888527848, -8.892029330123137, -9.564498952660948, -10.27676545113396, -11.026521315629784, -11.809752402470165, -12.620314930400575, -13.449474408921255, -14.285431341560182, -15.112879723017398, -15.912663004769362, -16.661620076613897, -17.33273587440483, -17.895727454606952, -18.31818867381532, -18.56738437043288, -18.61269853185997, -18.428617249798414, -17.997961320947088, -17.31492229736846, -16.38734281389398, -15.237686609659463, -13.90229961510239, -12.428866690158296, -10.87234495335968, -9.290004458787164, -7.736396766793702, -6.259052594598654, -4.895490073938069, -3.671783678517334, -2.6026096700750405, -1.6924420264932385, -0.9374600256057933, -0.32773822813746906, 0.15062225726803002, 0.513640953807135, 0.7779894194932809, 0.9599235910121161, 1.0745791418286135, 1.1355638089126707, 1.1547746182780743, 1.142373171301853, 1.1068637807545414, 1.0552322351287764, 0.9931146365466509, 0.924975409517855, 0.8542815476646751, 0.7836651557118166, 0.7150702015065983, 0.6498818990123132, 0.589038659334833, 0.5331274702996521, 0.48246406852346035, 0.4371595041318272, 0.3971747384827909, 0.3623649171899423, 0.3325148114634735, 0.3073668260562258, 0.2866428112894521, 0.27006077434230996, 0.2573474473528324, 0.2482475308434924, 0.24253031206354905, 0.23999425530526686, 0.24047004963628565, 0.2438225249713389, 0.24995177453387618, 0.2587937592330072, 0.2703206069001687, 0.2845407927411879, 0.3014993415734084, 0.3212781646747671, 0.3439966245518669, 0.36981240626826156, 0.3989227520725081, 0.43156611820749413, 0.4680243026739589, 0.5086250833488857, 0.5537454194757936, 0.6038152531743924, 0.659321965260827, 0.7208155318495596, 0.7889144360260447, 0.8643123956974293, 0.9477859676202376, 1.0402030939581377, 1.142532657708094, 1.2558551124458817, 1.3813742482852929, 1.520430138208645, 1.6745133017941733, 1.8452800969841028, 2.0345692502866397, 2.2444194283707035, 2.477087636260673, 2.735068052594932, 3.0211106583415357, 3.338238830038458, 3.68976459622326, 4.0792996643677775, 4.510759277283598, 4.988355857808613, 5.516576829939526, 6.100139583226494, 6.743914833153181, 7.452805612276216, 8.231565934537628, 9.0845390308562, 10.015288899166153, 11.026097026767806, 12.117287782928381, 13.28635023977213, 14.52682623443254, 15.826952923879071, 17.168082753552266, 18.522964711961663, 19.85406663476018, 21.112252088861343, 22.236285811379982, 23.15379835145919, 23.784417937014464, 24.0456774964531, 23.86189404094536, 23.175439099247182, 21.958752995654898, 20.224425591012952, 18.03022009494523, 15.476557243812833, 12.695825568999055, 9.835390066253275, 7.03825280350858, 4.425977692194817, 2.087442704506409, 0.07483057240177587, -1.5939325181293091, -2.928474212266427, -3.957519343648331, -4.720710154267244, -5.261909972497028, -5.6244266252694946, -5.848057747351884, -5.96759461530703, -6.0123533478095235, -6.006347895314306, -5.968809547450684, -5.914851613557504, -5.856155198852922, -5.801608282087938, -5.757867119337093, -5.7298312507052085, -5.721035244905116, -5.733965923842348, -5.770315568032022, -5.8311814177071035, -5.917220645438261, -6.02876850773573, -6.165926176401237, -6.328622966734027, -6.5166572174198425, -6.729718698882639, -6.967394868374181, -7.229162722453285, -7.514367480980306, -7.822189110673792, -8.15159751124297, -8.50129710962915, -8.869661840915969, -9.254661830209592, -9.653783631887134, -10.06394694903894, -10.481421622853018, -10.901750395630192, -11.31968450708435, -11.729140871382054, -12.123192622214066, -12.494102822183011, -12.833416973051866, -13.132124493307408, -13.380899781866177, -13.57042737645668, -13.691808465759705, -13.737035854073397, -13.699512352602916, -13.574575374739641, -13.359978342233253, -13.056276943102096, -12.66706428401185, -12.19901192976248, -11.661690602347226, -11.067169607303308, -10.429422339572335, -9.763590619439949, -9.085179944188965, -8.409263797623723, -7.749772172038945, -7.118922152350326, -6.5268269133126715, -5.981294177386597, -5.487802418618884, -5.049626744264737, -4.668075974536757, -4.342799975260929, -4.0721291069974015, -3.8534140698541135, -3.683342743371869, -3.5582191866245347, -3.4741967126700146, -3.4274633613273946, -3.414381846721028, -3.431588768063552, -3.476059060484383, -3.545142055147202, -3.6365752513659273, -3.7484812575293964, -3.8793525138943252, -4.028027563547751, -4.193661767525497, -4.375694626869396, -4.573815203436223, -4.787926556183712, -5.018109652280514, -5.264586813556016, -5.527684433955478, -5.807794511766572, -6.105334131139708, -6.420702157195564, -6.754232038448462, -7.1061396528394685, -7.476465118580944, -7.865007576375302, -8.271252128564841, -8.694288487351596, -9.132721443152112, -9.584574053301287, -10.047185722844532, -10.51710859577204, -10.990007815438702, -11.460573385856557, -11.922454048432826, -12.368226242152563, -12.789413263529147, -13.176571917806728, -13.519463821205967, -13.807326229558607, -14.029250927666908, -14.174673178509686, -14.233955547932535, -14.19903926845826, -14.064113108281553, -13.826241649296781, -13.485874121962675, -13.047164488564853, -12.518038496091865, -11.9099714822884, -11.237474694132107, -10.517327895124243, -9.767631348617456, -9.006777125012592, -8.252447103446068, -7.520736722896376, -6.825479140609026, -6.1778114879759665, -5.585989565683714, -5.055427538436193, -4.588918240513416, -4.186979145856688, -3.848268796526822, -3.570024923885335, -3.3484862065770282, -3.1792716405240853, -3.057702765757225, -2.97906315242823, -2.938796344692518, -2.932647878591, -2.956759229901126, -3.007722453184026, -3.0826041274890494, -3.1789460372957916, -3.2947495356642698, -3.428448658633407, -3.5788763230377314, -3.745226634001369, -3.927015675341024, -4.124041994062938, -4.336347846115743, -4.5641814346507905, -4.807960070954688, -5.068233858002167, -5.345649277185208, -5.640911661811062, -5.954745589807275, -6.287851887460605, -6.640859862055631, -7.01427329385948, -7.4084086724192435, -7.8233241996519665, -8.25873826500013, -8.713936402009738, -9.18766629087658, -9.67802131746971, -10.182314599767322, -10.696946892478072, -11.217274828315002, -11.737487384838856, -12.250505062272236, -12.747916279000234, -13.219972592067545, -13.655665380557965, -14.042908541764882, -14.368849847644576, -14.620327283282082, -14.784474530860232, -14.84946185318044, -14.805336890829789, -14.644900954912892, -14.364535460953368, -13.964875260166213, -13.45122435562601, -12.83362626011571, -12.126539172495901, -11.348115737780079, -10.519149002409195, -9.661795151587329, -8.798218498739162, -7.949310740827357, -7.133617257294088, -6.366562146521738, -5.660012900228878, -5.022175684469572, -4.457772524659021, -3.9684282791430583, -3.5531873173270245, -3.2090857155915136, -2.9317183866171344, -2.715757836137234, -2.5553990257809485, -2.444719277319276, -2.377953059415424, -2.349688779127681, -2.354998621461961, -2.389513819427112, -2.4494576448644354, -2.5316471338297255, -2.633472914878376, -2.752864687857179, -2.8882482557235325, -3.0384984291098007, -3.2028909255330182, -3.3810553217060533, -3.572930302688817, -3.778721859765979, -3.9988644642568842, -4.233985053928694, -4.484869239112134, -4.752428865347109, -5.0376699511162135, -5.341659783027684, -5.665491772562186, -6.010246512635882, -6.376947299341973, -6.766508229435459, -7.179672856113483, -7.616941307186199, -8.078483789142178, -8.564038590147964, -9.072793116688542, -9.603247279023144, -10.153059815943244, -10.718880073855935, -11.29617048231385, -11.879028649695904, -12.460022673576926, -13.030058821403253, -13.57830681085421, -14.092213740666413, -14.557642027655278, -14.95916769099019, -15.2805707815611, -15.505537573257325, -15.618570233523208, -15.606073065320825, -15.457538190461456, -15.166720075638715, -14.732652099838006, -14.160347032556006, -13.461037838528913, -12.651864882943466, -11.754988904342266, -10.796204417421384, -9.803209007616296, -8.80374351510815, -7.8238318767692245, -6.886320864627734, -6.0098551978499275, -5.208343190195944, -4.490890627766219, -3.8621212545621204, -3.322770665886598, -2.870432926889539, -2.5003543834921236, -2.2061917068394648, -1.9806807163880602, -1.81618827577859, -1.7051398669063038, -1.6403295609769957, -1.6151274600680356, -1.6236030018272583, -1.660583032929529, -1.721661833712953, -1.8031777605835246, -1.9021683054154566, -2.0163126822924626, -2.1438686970778305, -2.2836085308032414, -2.4347568090737854, -2.5969328486122616, -2.770098178007452, -2.954509779518174, -3.1506790108507845, -3.3593358106557942, -3.5813975351083003, -3.8179415858299004, -4.070180861757751, -4.339440897195271, -4.627137424054721, -4.93475296363024, -5.263810874185383, -5.615845079546115, -5.992363478658641, -6.394802775337656, -6.824472184495409, -7.282483238941715, -7.7696626157666895, -8.286444873092938, -8.832741999626206, -9.407787135061458, -10.009950744183197, -10.636529247389165, -11.283508661757963, -11.94531037293146, -12.61453121362764, -13.281697999558304, -13.935066995977408, -14.560505068876136, -15.141506698574426, -15.659400756115554, -16.093808999343832, -16.42340596387472, -16.6270087163535, -16.68498281924554, -16.580893533525302, -16.303261749092073, -15.847217211000615, -15.215795625221274, -14.42062529755793, -13.481803316064713, -12.426874979193766, -11.288982235414988, -10.104401431668663, -8.9098071864741, -7.739640622636428, -6.6239216198786925, -5.586736980069313, -4.645496449931387, -3.810912595171512, -3.0875626945098773, -2.4748389687890033, -1.9680912843874339, -1.5597956799040593, -1.240628853265649, -1.000378165930689, -0.8286583832243, -0.7154370185491808, -0.651388889839526, -0.6281096101122752, -0.6382197032054125, -0.6753887229260825, -0.7343046236654688, -0.8106082917357103, -0.9008085110816648, -1.0021882328395513, -1.1127099561765077, -1.2309250523245527, -1.3558900969240053, -1.4870918884383681, -1.6243818163125296, -1.7679195917046189, -1.9181259353942313, -2.075643583697792, -2.2413057530711846, -2.416111203645967, -2.601204956814605, -2.7978637305189924, -3.0074851604965516, -3.2315798498217605, -3.471765284215683, -3.7297605914837764, -4.007381038480162, -4.306531032972771, -4.6291942122228305, -4.977418950576849, -5.353297299382515, -5.758934971221196, -6.196409494029454, -6.6677130962487325, -7.174676250059619, -7.718867155595726, -8.301461827957334, -8.923079022102025, -9.583574146592554, -10.281786898655843, -11.015238996756327, -11.779781651340983, -12.569197988797349, -13.37477426290442, -14.184866061275702, -14.9845035804347, -15.755096441040566, -16.474327362296155, -17.11633772618979, -17.652323582586604, -18.051651294312126, -18.28356602792645, -18.31948907408925, -18.135784102874183, -17.716726792501408, -17.057269141480873, -16.165094871500184, -15.061473054731835, -13.780558124966243, -12.367055309498678, -10.872505703264908, -9.350750047743542, -7.853305148482535, -6.425372785015441, -5.103013841197949, -3.9117293494917913, -2.866393266696897, -1.972259442594384, -1.226655378390868, -0.6209741547574388, -0.1426481427419075, 0.22310708306644317, 0.4918866366171205, 0.67905433191579, 0.7990373349910499, 0.8649019132102234, 0.8881460543543308, 0.8786478277336854, 0.8447175877559422, 0.7932136795523386, 0.7296917692201936, 0.6585670780799302, 0.58327608162899, 0.5064292527499425, 0.4299503399554014, 0.3552000490766803, 0.28308368462372313, 0.21414322163500227, 0.14863490514506342, 0.0865937424351627, 0.027886362352778325, -0.027746285930626023, -0.08065499491839806, -0.13125582586200482, -0.18000993390656428, -0.22740866104207363, -0.2739629939266663, -0.3201966145680124, -0.3666418891978227, -0.41383824643311107, -0.4623324936153794, -0.512680713740266, -0.5654514415596773, -0.6212299070013698, -0.6806231723490629, -0.7442660432945385, -0.8128276775014679, -0.887018842375625, -0.9675998014549928, -1.055388835497954, -1.1512714190240736, -1.256210080706889, -1.3712549806643177, -1.497555245781177, -1.6363710885689242, -1.7890867214816826, -1.9572240502723248, -2.142457077605973, -2.34662688930068, -2.571757003307016, -2.820068733388526, -3.0939960023204507, -3.3961988287093283, -3.729574348100888, -4.097263696696334, -4.502652826665268, -4.94936371785668, -5.441232350999073, -5.982267693472409, -6.576584147692845, -7.228298855333295, -7.941380528889093, -8.719435346005255, -9.56541090674095, -10.48119646250977, -11.4670951180164, -12.521142982112321, -13.638256001522125, -14.809194213203526, -16.019358901892975, -17.247476796094514, -18.464289870584825, -19.631454118724175, -20.70096457201071, -21.615524512563102, -22.310362568108655, -22.71696927253299, -22.76902779174765, -22.410374953226896, -21.604163099204058, -20.341633600328066, -18.648371567151116, -16.585910909831718, -14.247387069919595, -11.747449476392148, -9.208349120505162, -6.7452829205516265, -4.454172835294244, -2.4040952431501967, -0.6350312277763208, 0.839824850000036, 2.0288088819794443, 2.9553430477117373, 3.651713269830481, 4.15391573969443, 4.497895436718534, 4.717130684923631, 4.841323277865106, 4.895893568700285, 4.902002450897841, 4.876878104187504, 4.834290049138243, 4.7850682827941045, 4.7376072458336544, 4.69832360528688, 4.672055089933797, 4.662398557094023, 4.671990945869229, 4.702739372543636, 4.756007235278349, 4.832762866002863, 4.933696685530028, 5.059311755760239, 5.20999181723572, 5.3860501507339595, 5.587761698065023, 5.815380488589215, 6.069143488823405, 6.349261796527985, 6.655899460718887, 6.9891398708964, 7.348939346462098, 7.735067271485686, 8.14703204268065, 8.583992144968242, 9.044651935884238, 9.527142340559102, 10.028887660801972, 10.546461263240314, 11.075435084498416, 11.610230564907006, 12.143983877988022, 12.66843823679889, 13.173887118186009, 13.649190432496065, 14.081892532998328, 14.458469706798073, 14.764731641780001, 14.98639169489675, 15.109804233223178, 15.122844100035833, 15.015873300423646, 14.782710460811376, 14.42149393926817, 13.935315284640742, 13.332507933680347, 12.626508315336737, 11.83525801413405, 10.980183858116003, 10.084859041873074, 9.173498934848594, 8.26946848398324, 7.393968017595552, 6.565025545334314, 5.796866279630737, 5.099669236551108, 4.47966887127054, 3.9395247322330476, 3.47886776829431, 3.09493307525754, 2.7832039040843553, 2.538011137984158, 2.3530536054033635, 2.2218228537530393, 2.1379299108889636, 2.095341042190175, 2.0885346854641633, 2.11259400451007, 2.163249321391206, 2.236883684151925, 2.3305123816796383, 2.4417455793027765, 2.5687410381197022, 2.710152035268007, 2.8650742249697134, 3.0329938498129376, 3.213738921178945, 3.407434152650872, 3.614459873537291, 3.835414775051428, 4.071082006279137, 4.322397885890509, 4.590422279010265, 4.876309509184134, 5.181278516955676, 5.506580783571201, 5.853464374556865, 6.2231322549104835, 6.616692845610004, 7.035100611075537, 7.479084327358523, 7.949060602933925, 8.445030310620975, 8.966455890312433, 9.512118120568973, 10.079952170830836, 10.66686452253785, 11.268535095396942, 11.8792127443774, 12.491517021230639, 13.096267415177108, 13.682362653502725, 14.236749299840644, 14.744515471002963, 15.189155867317371, 15.553047892680453, 15.818169201884047, 15.967064227216543, 15.984032199626766, 15.856464517567785, 15.576210757791808, 15.140807628927746, 14.55438257224879, 13.828053709109417, 12.97969676418785, 12.033037289157987, 11.016134816281113, 9.95943357769676, 8.893628192502417, 7.847619843519728, 6.846807001120917, 5.91187998784556, 5.058189976913331, 4.295668903741557, 3.6292029866472406, 3.0593241042122727, 2.583075212853045, 2.194923409834382, 1.8876244524479173, 1.6529776870092165, 1.482441184511634, 1.3676010166583108, 1.3005049720963402, 1.2738796679379816, 1.2812538254066876, 1.3170097461343104, 1.3763832311302782, 1.4554284329058877, 1.5509610163512446, 1.6604893035882484, 1.7821409224337144, 1.9145897852863292, 2.056986729934972, 2.2088957976545314, 2.370237147377554, 2.5412370043241532, 2.7223844855535497, 2.9143948620386126, 3.1181785762636345, 3.334815179474415, 3.5655312741665357, 3.8116813455605074, 4.074730432826978, 4.356237348176235, 4.657837094133145, 4.981220946270183, 5.328112463274088, 5.700237457393751, 6.099285631423673, 6.526861268487513, 6.984419950119847, 7.473187981976031, 7.994060843312298, 8.547476783479064, 9.13326177874183, 9.750442611355664, 10.397026084728854, 11.06974448388381, 11.76377077034312, 12.472414592878225, 13.186812334881441, 13.895643009828717, 14.584905543200135, 15.237812605214902, 15.834865874799952, 16.35418696729768, 16.772177729617425, 17.064565354034475, 17.207854036876803, 17.18113932808413, 16.96816168190002, 16.559384452311548, 15.953803246700202, 15.160158817609371, 14.197257487709816, 13.093218589349084, 11.883638968185625, 10.608881353556708, 9.310859443645404, 8.029792466631921, 6.8013845346184585, 5.654770159651502, 4.611392284427168, 3.6847985259718445, 2.8811980069535292, 2.200542255200135, 1.63787881378812, 1.1847596199845476, 0.8305450110424388, 0.5635087987303917, 0.3717052041142684, 0.24359903352865264, 0.168485636635622, 0.1367381787161884, 0.13992273684169096, 0.1708181908948206, 0.22337200103845015, 0.29261639082379204, 0.37456316846856, 0.46609013660877024, 0.5648278209041403, 0.669052082501715, 0.7775858677651012, 0.8897117288858682, 1.0050956871129284, 1.1237222722820228, 1.2458401435422413, 1.371917458265826, 1.5026060306756004, 1.6387132879305908, 1.7811809668231513, 1.9310697560928598, 2.0895488399302766, 2.257889592917814, 2.437462660027683, 2.6297376656247353, 2.8362848683004356, 3.0587780360942824, 3.298997809245062, 3.558834725855502, 3.840290974309512, 4.145479757711539, 4.476620903023396, 4.836031024925017, 5.226106128138935, 5.649293997542079, 6.1080530721068484, 6.604793719513967, 7.14179691444044, 7.721104362740775, 8.344373096898718, 9.012686692392634, 9.726314733900074, 10.484412353868818, 11.284653128888145, 12.12279212148088, 12.992162062012216, 13.883118592751131, 14.78246142187684, 15.672889174947613, 16.532566763678183, 17.334922838160868, 18.048824016092233, 18.639294408869024, 19.06894102502896, 19.300197843268737, 19.298387549700614, 19.03542649976901, 18.493777918786083, 17.670045837508003, 16.577473965947465, 15.246656269951353, 13.724023088816116, 12.06810333781768, 10.344079595014119, 8.617558796480862, 6.948649572475585, 5.387300978832083, 3.970488299398873, 2.7213681846359337, 1.6501239312734413, 0.7559804879984205, 0.029807470044590466, -0.5431923182106894, -0.9810602098388751, -1.303114431042348, -1.528494480140271, -1.6751847788855525, -1.759437750173974, -1.7955019324245922, -1.7955650732454682, -1.7698370056558277, -1.7267144362858653, -1.6729865059311224, -1.614052821695837, -1.5541369149495428, -1.4964849406832113, -1.4435445100206887, -1.3971218927547142, -1.3585177431763444, -1.3286426354216696, -1.3081142754706798, -1.29733848609086, -1.2965760957609802, -1.3059977688507127, -1.3257286658927017, -1.3558846411735734, -1.3966014973532441, -1.4480586301061789, -1.5104982178915054, -1.5842409460409783, -1.6696991060596649, -1.7673877681684025, -1.8779345997605223, -2.002088785387341, -2.140729393961443, -2.2948734297835727, -2.465683717524157, -2.654476608055495, -2.862729433783135, -3.0920874596301235, -3.3443698981962187, -3.6215743605115205, -3.9258788351514253, -4.259639943434647, -4.625385780612246, -5.025801096137083, -5.463701863177908, -5.9419955422504644, -6.463621474160433, -7.031466694681754, -7.648247733955826, -8.316350444943444, -9.037616309255036, -9.813063106489285, -10.64252687372046, -11.52421283672635, -12.4541457447994, -13.42551836616606, -14.42794789732714, -15.44667339217439, -16.461757249989642, -17.447397796780262, -18.371512338118006, -19.195801570647234, -19.876552620519575, -20.36643950949782, -20.617515705298484, -20.585431312395354, -20.234630946512212, -19.54393096134939, -18.511528936957447, -17.15829223301793, -15.528271750241872, -13.685852224169679, -11.709712921026568, -9.684595554175218, -7.692455717684767, -5.804677180930004, -4.0766397656056625, -2.545221450317327, -1.2290752240181393, -0.1309899319536557, 0.7585746498618149, 1.4576282285404543, 1.9890895025864412, 2.377876686979262, 2.64876731588645, 2.8249863325268225, 2.9273978900481814, 2.974150081687018, 2.980629429111726, 2.9596094232621843, 2.9215050904123823, 2.8746739255463885, 2.82572449175176, 2.7798100101978926, 2.740895205221759, 2.7119916086531313, 2.695360569465822, 2.692685725390686, 2.705217734918858, 2.733894533195742, 2.779440392508803, 2.842446865342343, 2.923438391413185, 3.0229250197089055, 3.1414443028305876, 3.279594148364285, 3.4380580165667314, 3.617623564747182, 3.8191955208271384, 4.043803244530658, 4.29260312573422, 4.566875622404401, 4.868016380272558, 5.197520470419624, 5.556958387516807, 5.947941812206707, 6.372076813460504, 6.830901365763547, 7.325803541485748, 7.857916093523872, 8.427982620620508, 9.036190200536112, 9.681963484780029, 10.363716029405639, 11.078556535164392, 11.821951167103531, 12.587348645338597, 13.365784222654822, 14.145488616221478, 14.911546362243676, 15.645664047337972, 16.326129779995313, 16.928060820439793, 17.42404314747153, 17.785255471843126, 17.983129598123877, 17.991528228680288, 17.789309245779013, 17.363020680747187, 16.709346877788004, 15.836857115830455, 14.766629992194224, 13.531466527068906, 12.173648367069026, 10.741492673598126, 9.285213952432265, 7.852743619525029, 6.486138291216868, 5.219038332015921, 4.075385204687525, 3.0693469539181293, 2.206209175947404, 1.4838909178958586, 0.8947422487045468, 0.4273402589864041, 0.0680912022965785, -0.19746328928167334, -0.3836650782660087, -0.5040632573043557, -0.5709964351099436, -0.5953767508199765, -0.5866219925668748, -0.5526879599747893, -0.5001639113161934, -0.4344029972715855, -0.3596678939629997, -0.27927827810453915, -0.19575180423440927, -0.11093376923335384, -0.02611303506505669, 0.05787660695602276, 0.14056940847040525, 0.22179418320769717, 0.30161321575322914, 0.38027228958310444, 0.4581605161547557, 0.5357786959516229, 0.613715027444944, 0.6926270836464633, 0.7732291007221535, 0.8562837355312655, 0.9425975759786602, 1.0330197824182807, 1.1284433549434478, 1.2298085952520272, 1.338108411601952, 1.4543951950224288, 1.5797890269172172, 1.715487021893848, 1.8627736526418208, 2.0230318912424465, 2.197755005916953, 2.388558810216515, 2.5971941574409083, 2.825559305044236, 3.075711744334545, 3.3498788612255983, 3.650466580171219, 3.9800648456490717, 4.341448352113867, 4.7375704229675115, 5.171547210444245, 5.646628508302433, 6.166150331272444, 6.733463023317928, 7.351826987658372, 8.024266195821935, 8.753367525653108, 9.541011888348656, 10.388021415668968, 11.293706351922076, 12.25529679386846, 13.267249646738545, 14.32043234608142, 15.40120486571445, 16.490452961931446, 17.5626746039765, 18.585274811999746, 19.51830588928802, 20.314945026954792, 20.923042901475196, 21.28804090345477, 21.35740654747376, 21.08644128872292, 20.44489546662894, 19.42334196634419, 18.037915109921602, 16.331998938799593, 14.373903164076037, 12.250469553969246, 10.057623468996622, 7.889748034493485, 5.830025343562292, 3.9434883903178424, 2.2736499766101694, 0.8426018256998602, -0.34624797451800726, -1.3039447390856422, -2.051345816793734, -2.6148591547360263, -3.022999173370271, -3.303896286149681, -3.4836961088305607, -3.5856818393941046, -3.6299274711310447, -3.6333042952729993, -3.6096995639809673, -3.570344051187234, -3.5241799752030967, -3.478227057533542, -3.4379229028123417, -3.4074267388392685, -3.389883020683718, -3.387645675345296, -3.40246613716213, -3.4356491904165174, -3.4881808289619003, -3.5608321350519567, -3.65424277676657, -3.7689872309240364, -3.9056263801137403, -4.064746649874985, -4.246988358496132, -4.4530645529668, -4.683771221724705, -4.939989289152613, -5.22267840672838, -5.5328621779272265, -5.871603967876439, -6.239972031029592, -6.638992219042262, -7.069586078852386, -7.532491726119819, -8.02816452750932, -8.556654429460819, -9.117456837710808, -9.709334446691209, -10.330108560464321, -10.976420520026835, -11.64346719369764, -12.32471945315312, -13.01163917449813, -13.693421133377448, -14.356792249908098, -14.985919349524126, -15.56248173123297, -16.0659746687345, -16.474308654301414, -16.76475461196894, -16.915252704692108, -16.906048607052988, -16.72155145586455, -16.35222741954883, -15.796273052712955, -15.060780957755533, -14.162129172225185, -13.125420330888206, -11.982943985616307, -10.771815988950202, -9.531109702909749, -8.298883442770567, -7.10951974332169, -5.991700295903597, -4.967197436609037, -4.050502151732823, -3.2491748096042, -2.5647217678790297, -1.9937749519885615, -1.5293710065276818, -1.1621737931234537, -0.8815401102749328, -0.676379463289613, -0.5357990118500222, -0.4495505287012633, -0.4083101574369724, -0.4038261355335156, -0.42896865972935333, -0.47771159256322177, -0.5450699876587827, -0.6270119408462023, -0.7203580209145124, -0.8226778123727922, -0.9321896551700211, -1.0476674244832467, -1.1683564567470908, -1.293899589449413, -1.4242734769566132, -1.5597348227245744, -1.700775873116119, -1.8480883354789264, -2.002534813180433, -2.165126790913216, -2.3370082606103315, -2.5194440619697893, -2.7138120611873564, -2.9215983083153185, -3.1443943122637226, -3.383895557342328, -3.641900327221995, -3.920307807207057, -4.221114308627053, -4.546406202453556, -4.898347902289143, -5.279162915452273, -5.691105466932414, -6.136419661899193, -6.6172824326607795, -7.1357260245827545, -7.6935346893029966, -8.292109590868794, -8.932295263643868, -9.61416094784189, -10.336730002641755, -11.097652891139141, -11.892821252801628, -12.715928202630638, -13.557987331532647, -14.406840028953535, -15.246693470620876, -16.057764168270587, -16.816119975966327, -17.493844483739277, -18.05966022114756, -18.480142928744, -18.72161643678286, -18.752734204631672, -18.547610518391544, -18.089194301896402, -17.372404931294625, -16.406436144207376, -15.215648380265053, -13.83864746452175, -12.32547683349177, -10.733257809848677, -9.120967637284206, -7.544231509733755, -6.050959134039292, -4.678406035924167, -3.4518800919831194, -2.384967759487668, -1.4809112261020305, -0.7346680282247378, -0.13520826810557302, 0.3322931944678752, 0.6845822652816593, 0.9388633242450063, 1.1117548830108668, 1.2186158356823484, 1.2731699031403025, 1.2873522491067757, 1.271309731186932, 1.2334988559385693, 1.1808397991290318, 1.1188962286622566, 1.052061236642591, 0.9837368481565805, 0.9164999991326047, 0.8522513779559291, 0.7923459847939217, 0.7377056346186284, 0.6889145176505304, 0.6462993297893705, 0.6099957218099786, 0.58000277668076, 0.5562272141889784, 0.5385188766036905, 0.5266989143245564, 0.5205819355683944, 0.519993233205568, 0.5247820571388707, 0.5348317656278956, 0.5500675674110772, 0.5704624544964735, 0.5960418370322236, 0.6268872954649813, 0.6631398079297525, 0.7050027407771233, 0.7527448443375259, 0.8067034545694786, 0.8672880660581855, 0.9349844202927511, 1.010359217978095, 1.0940655646748585, 1.1868492383111664, 1.289555842844565, 1.403138913252232, 1.528669017860022, 1.667343878842867, 1.8204995200080591, 1.9896223993429119, 2.176362446466083, 2.382546845009242, 2.61019428950119, 2.8615293410645464, 3.1389962811604293, 3.4452716979770637, 3.7832741808009924, 4.156170268841833, 4.567373347326605, 5.020532961246003, 5.519510053358639, 6.068331929420257, 6.67112036943961, 7.331981765181967, 8.054847578825548, 8.843248827095472, 9.700005541690482, 10.626808790347004, 11.623670735966055, 12.688217859114808, 13.814809469490882, 14.993473316375823, 16.208678826495564, 17.43801067851722, 18.650871112862482, 19.807434576532394, 20.858181568563005, 21.74445530374795, 22.400543272444946, 22.757742194349877, 22.750632175265274, 22.325305835542654, 21.448608178914213, 20.116690567027387, 18.360693749709025, 16.24750101726732, 13.874447305493037, 11.358463243209599, 8.821807497007113, 6.3775626045773315, 4.117998993693948, 2.107807555504935, 0.38262967543618354, -1.0480565012172496, -2.1953741559393176, -3.084546698055829, -3.7487884586991793, -4.224348689389607, -4.5469630945194375, -4.749625573052406, -4.861422250239132, -4.907125616115068, -4.907277643281718, -4.878549468087844, -4.834229054278449, -4.784741997074099, -4.738150683374497, -4.700604016235543, -4.676727245603665, -4.669951163522135, -4.682784969206028, -4.717039227502229, -4.774005842037177, -4.854601509260564, -4.959480422786514, -5.089121086875244, -5.243891133038108, -5.4240933687950665, -5.629995471648512, -5.8618450488623886, -6.119871458281999, -6.4042749021146, -6.715203201109255, -7.0527160816773105, -7.416736552432917, -7.8069887525868955, -8.222921492125783, -8.663616849093026, -9.12768353509812, -9.613135342351777, -10.117256150700928, -10.636454569819698, -11.166113443385125, -11.700443691894906, -12.232352449398869, -12.753344557150298, -13.253476641067, -13.721389773343287, -14.144448241161413, -14.509012105335714, -14.800866511160995, -15.00582057385845, -15.110469088709143, -15.103089026489172, -14.974609893823718, -14.7195691516915, -14.336940258827498, -13.83071066479194, -13.210100011521266, -12.489342099078362, -11.6870119530174, -10.824945903071882, -9.926867712287441, -9.016879613288006, -8.117995532946217, -7.250876726020874, -6.432889147636568, -5.677541864482903, -4.994306897994649, -4.38877140321657, -3.863042017746079, -3.416309179479588, -3.0454839802472238, -2.7458353173318772, -2.511575665473053, -2.336364357355888, -2.213714334992446, -2.1373020904300266, -2.1011886900917194, -2.099964684296593, -2.1288332299971726, -2.1836456182380526, -2.260901879180162, -2.3577271820476415, -2.4718326300463294, -2.6014670735325423, -2.74536485243491, -2.902692915050366, -3.0729996161348336, -3.2561665986783352, -3.452364479741985, -3.6620124568051833, -3.8857416861521923, -4.124361856702262, -4.378830196535031, -4.6502219351771545, -4.939701060745275, -5.248490033768312, -5.577837022468217, -5.928978807462059, -6.303097684137407, -6.701270153939873, -7.124405263920017, -7.573170139441356, -8.047900370715281, -8.548492913465351, -9.074279663637423, -9.623880424740037, -10.195035356653115, -10.784419195206217, -11.387442097308176, -11.998046389758581, -12.608512708161417, -13.209298242553729, -13.788932584054768, -14.334008567467881, -14.82930782799817, -15.258104826267102, -15.602688602149902, -15.845128217038367, -15.9682834743438, -15.957024924145445, -15.79958210768395, -15.488889425918353, -15.0237589202553, -14.409691166333387, -13.65915516704186, -12.791221034103167, -11.83052734151301, -10.805669862452193, -9.747204281043217, -8.68551891029594, -7.648848556610352, -6.661662372446807, -5.743573596737424, -4.90882322875281, -4.166297008639009, -3.5199695717382804, -2.9696364879504937, -2.5117933682652396, -2.140541365092633, -1.8484303370011268, -1.6271850733835196, -1.4682898005914782, -1.363428630095311, -1.3047942230312024, -1.2852847127502471, -1.298611363060191, -1.339338988225782, -1.4028782332703746, -1.4854458068104066, -1.584004996517489, -1.6961959640614024, -1.8202624910624365, -1.9549797366477684, -2.0995861485269773, -2.2537211800937147, -2.4173697313618066, -2.5908135815083115, -2.774589566902426, -2.9694540600027315, -3.176353009714213, -3.396396691157816, -3.6308381983924733, -3.8810546149383143, -4.148529696856409, -4.43483685456602, -4.741620897007275, -5.0705771308326915, -5.423425894994178, -5.8018805562518025, -6.207606565065398, -6.642168910416542, -7.106964814687012, -7.603138345561204, -8.131473167089501, -8.692259554250512, -9.285132114367439, -9.908875094798772, -10.561194039572898, -11.238454152946032, -11.93539125737204, -12.644805668945416, -13.357258693785136, -14.060801399372451, -14.740778349921877, -15.379762260544084, -15.957687533273152, -16.452257064925305, -16.83969247239338, -17.095876757487357, -17.197895353425427, -17.1259150403988, -16.865253112615214, -16.408404862575345, -15.756722232370926, -14.92142062080062, -13.923641661413136, -12.79342883641767, -11.567662625375288, -10.28720227400352, -8.993640082363878, -7.726142100216213, -6.518807213543692, -5.3988433224918175, -4.385682298834272, -3.4909784950447023, -2.7193100489471367, -2.069339686950042, -1.5351898050187942, -1.10782885024669, -0.776325959301397, -0.528894657620239, -0.35369752976313623, -0.239420529085125, -0.17564661128739317, -0.15306750242399256, -0.16357314404896298, -0.20025433488864874, -0.2573479208865027, -0.33014732774928307, -0.41489523876591883, -0.5086702258268473, -0.6092751452393238, -0.7151323208624244, -0.8251882623076727, -0.9388293065598973, -1.055808511612484, -1.1761835705192494, -1.3002650700117417, -1.428574230215776, -1.5618091519809398, -1.7008185778484866, -1.8465821909972473, -2.0001965197222096, -2.1628655778857118, -2.3358954252505413, -2.5206918869700377, -2.7187606954129206, -2.93170934568096, -3.161249932638666, -3.4092021857472203, -3.6774958599390093, -3.9681714194024655, -4.2833778527182105, -4.62536612249712, -4.996476394682522, -5.399116679281486, -5.835730114502035, -6.308747248256696, -6.820518881553307, -7.373224073230381, -7.968747244682684, -8.608517017266099, -9.293297961267768, -10.022929028004945, -10.795998355718881, -11.609451169184554, -12.458128751355467, -13.334246235688981, -14.226829217262807, -15.121147340906369, -15.998209759938465, -16.834416080517922, -17.601491030423087, -18.26685827746132, -18.79462143744047, -19.147295336349956, -19.288363397503133, -19.185595458082506, -18.814870542804794, -18.164024728588196, -17.236060108544095, -16.050983090758603, -14.645662219110477, -13.071434032181735, -11.3896534173985, -9.665881788031934, -7.963719900640872, -6.339341877522615, -4.8375511246466125, -3.4897597352780863, -2.313844876133581, -1.3154945941149434, -0.4904867484804523, 0.1726546035971055, 0.690069087971057, 1.0803202737273423, 1.3626394673581643, 1.5556700724139783, 1.6766592634571513, 1.7410096716957126, 1.7620981432921141, 1.7512776220252082, 1.7179940985391098, 1.669968061567372, 1.6134046718349426, 1.553209305251184, 1.4931942199728692, 1.4362684440025957, 1.3846071244409608, 1.339799407169525, 1.3029754437783025, 1.27491404435481, 1.2561329224456035, 1.2469636372641002, 1.2476133006812575, 1.258215019812602, 1.278868880829249, 1.3096750984119787, 1.3507607681573979, 1.4023014775571074, 1.4645388774809525, 1.5377951081557457, 1.622484909474216, 1.7191260393273133, 1.8283485422953532, 1.9509032966474091, 2.0876701585514503, 2.2396659244303208, 2.408052238447073, 2.594143466837936, 2.799414427257803, 3.025507749117833, 3.2742404711481115, 3.54760925685542, 3.8477933727956364, 4.177154233036047, 4.538229889064574, 4.933722305077771, 5.366474572438126, 5.83943438880682, 6.355598956806753, 6.917935240661565, 7.529268428376342, 8.192128787547743, 8.908546513760658, 9.679781866293192, 10.50597727543403, 11.385718197520966, 12.315491980667987, 13.289040735693344, 14.296615568641695, 15.324159951625175, 16.352480614014738, 17.35650534901174, 18.304782607677147, 19.159430079049834, 19.876793091573195, 20.409083412311997, 20.707222147675438, 20.724958672940193, 20.424073758097183, 19.78011075566166, 18.787707983058286, 17.46435525950289, 15.85143762260235, 14.011853603507875, 12.024252703343812, 9.974804723032848, 7.948074424128026, 6.018762061974832, 4.245732115276881, 2.6690408899967393, 1.3098909162311263, 0.17284805044779805, -0.750612733151652, -1.478133376366075, -2.032750207400269, -2.4398184501799687, -2.7247287906662203, -2.9113865476635987, -3.0213294249205753, -3.073327438676562, -3.083315415226984, -3.0645341250127074, -3.027787058960203, -2.981748437778124, -2.9332810953188733, -2.8877399147832232, -2.8492478788206377, -2.820939600935796, -2.805171458142667, -2.8037000174623814, -2.8178316824859397, -2.848546947070437, -2.8966026525046904, -2.9626154459716405, -3.0471293153722527, -3.150669706642967, -3.273786395088572, -3.417086861597182, -3.581261644239178, -3.7671026880964744, -3.9755156062871144, -4.207526122930668, -4.464280896044425, -4.747042433778279, -5.05717745695605, -5.396137648117063, -5.765431323470713, -6.1665838795436345, -6.6010845824364734, -7.070316442554196, -7.57546547157383, -8.117405030599048, -8.696550600183873, -9.312680215622136, -9.964716275588533, -10.650465414017901, -11.366316484374122, -12.106899646682532, -12.864717599155856, -13.629768619312406, -14.389194284451817, -15.127001615645106, -15.823924957233997, -16.457512394129257, -17.00253153142975, -17.431788895652673, -17.717434343583314, -17.83277152986125, -17.754511078929177, -17.465291710009172, -16.95617415662205, -16.228720693342638, -15.296235250299427, -14.183810794355391, -12.927002504252734, -11.569199568603866, -10.158036886445325, -8.74139008141889, -7.363571772389376, -6.062267952992541, -4.866562667077616, -3.796151417584192, -2.8616232046314343, -2.0655423527809167, -1.4040042461886546, -0.8683585593873422, -0.4468642208663716, -0.12612374700211915, 0.10777406947026992, 0.2684141596920056, 0.3684900762525762, 0.4194665897992104, 0.4314174682429224, 0.4129892752279429, 0.3714496617784719, 0.3127875601903035, 0.24184120802088227, 0.16243704754659385, 0.07752830606840727, -0.010673763348924857, -0.10057995343392823, -0.1911164352937118, -0.2816318686290287, -0.37181800095935064, -0.4616429320047548, -0.5512959659961228, -0.641142792316262, -0.7316898614765727, -0.8235566882096779, -0.9174550264440683, -1.0141739172658657, -1.1145697235037162, -1.2195603616725659, -1.3301230941001794, -1.447295271641432, -1.5721775575114276, -1.7059392163472555, -1.8498251105964894, -2.0051640851442487, -2.173378459652241, -2.355994335524145, -2.5546524164558133, -2.7711189936789866, -3.0072966626109703, -3.265234203364856, -3.5471349909305454, -3.8553627604156624, -4.192443676236124, -4.561062926501907, -4.964053500462037, -5.404374168857042, -5.885073049379496, -6.409231859965585, -6.979883993077471, -7.599899556645201, -8.271827223728835, -8.997681899645544, -9.778665532467812, -10.614807171964085, -11.50450918499018, -12.443989328890032, -13.426614925223616, -14.442138937391787, -15.475868248976406, -16.507828757226328, -17.512031299636313, -18.456004048771764, -19.300807944404024, -20.001803487319062, -20.510443080599952, -20.777303980115228, -20.756408326720734, -20.410597057449387, -19.717343797964823, -18.67402383041079, -17.3014281231, -15.644398665707829, -13.7689445286497, -11.756001037468883, -9.692864814450243, -7.663965498381539, -5.742747481088371, -3.9860222893802355, -2.4314017307773454, -1.0976350610340984, 0.012885791849074254, 0.9104148560781895, 1.6138263740236745, 2.14692351957837, 2.535441594189422, 2.804860325608764, 2.9789752508337832, 3.0790931462707514, 3.1236913735908103, 3.1283922737056096, 3.1061315574723216, 3.0674311924772524, 3.0207156391382872, 2.9726327180841454, 2.9283567962123715, 2.891862719548339, 2.8661663059880205, 2.8535310843242767, 2.855643324544525, 2.8737584732471, 2.9088224710567694, 2.9615713781072777, 3.032612498532858, 3.122489854778557, 3.231736469064852, 3.360915573637063, 3.510652469784527, 3.6816583972515917, 3.8747474407722553, 4.090847214172241, 4.331003628893151, 4.596379755408101, 4.88824843615455, 5.2079778722354275, 5.5570090002214565, 5.936822991618736, 6.348896691123727, 6.794643256367077, 7.275334684179323, 7.7920023539927605, 8.345311251637643, 8.935403271474154, 9.561705105411065, 10.22269696525276, 10.915640098198692, 11.63626411446671, 12.378420625383432, 13.133716599756092, 13.891152241670417, 14.63680148739122, 15.353589619300639, 16.021241682524725, 16.616484819793268, 17.1136025162895, 17.485422694564754, 17.70479397217121, 17.7465400301653, 17.58978939885073, 17.220465563046847, 16.63360743751528, 15.83512565349108, 14.842594573639888, 13.684792131784961, 12.399899935544843, 11.032535618028227, 9.630033158682691, 8.238541107825723, 6.899524932979509, 5.6471380984884645, 4.506712727743758, 3.494385103011474, 2.6176789172006427, 1.8767565687399845, 1.2660225906095748, 0.7758026474551855, 0.3938965558180057, 0.10688647413880846, -0.09884716496086451, -0.23639794166760789, -0.3178591227889872, -0.3540542651628527, -0.3544221995724652, -0.3270110918210639, -0.2785439054428612, -0.21452628819094613, -0.13937599232885292, -0.056559079617726424, 0.031276522012029184, 0.12217600617229786, 0.21476442532837797, 0.30814659917533344, 0.40182045420617335, 0.49560334690091723, 0.5895704868083536, 0.6840043541554536, 0.7793539299061404, 0.8762025564601242, 0.9752432941583764, 1.0772607441176913, 1.1831183819906546, 1.2937505704092302, 1.410158520375876, 1.5334095630081732, 1.664639184135385, 1.805055350888849, 1.9559447141207669, 2.118680317694473, 2.2947304698281927, 2.485668429181414, 2.693182540224241, 2.9190863943215146, 3.1653285006896446, 3.4340008042798433, 3.7273452851008235, 4.047757347673031, 4.39778471347721, 4.780119856488266, 5.197583487604844, 5.653095387317903, 6.149629332812248, 6.690145880464976, 7.2774965622959975, 7.914291617743633, 8.6027210696008, 9.344317868291805, 10.139650778737433, 10.987934022962502, 11.886542946823909, 12.830428646930947, 13.811434667461233, 14.817534180923456, 15.832031028860618, 16.832805821391826, 17.791728317595453, 18.674420311405967, 19.44059410725235, 20.045226646348137, 20.440806786847197, 20.580794557477454, 20.424220149680487, 19.941052779358632, 19.117594094242982, 17.960862891078587, 16.500836422340882, 14.789656085953233, 12.897497107745146, 10.905603420400993, 8.897736862413952, 6.9516883885746195, 5.132400922002247, 3.487718101751726, 2.0470344955372877, 0.822456084905389, -0.18832593592440502, -0.9983444722357822, -1.6276099733370948, -2.099818555896757, -2.4397662824054884, -2.671518046068852, -2.817252829947433, -2.896647931644094, -2.926654944393246, -2.921535529425703, -2.8930532729016547, -2.8507461102643967, -2.8022288387441416, -2.753493649742299, -2.7091911409674907, -2.672882784541588, -2.647261779987103, -2.6343426172329076, -2.6356214722179834, -2.652210395705718, -2.6849485374791593, -2.734493570605792, -2.8013962558208854, -2.8861607720650277, -2.9892931144434174, -3.111339509380082, -3.252916427906139, -3.41473359862947, -3.5976109152166313, -3.802489970248748, -4.030440599873146, -4.282662496492003, -4.560481628246073, -4.865340833893991, -5.198783551596992, -5.562429210070277, -5.957938288653224, -6.386964497090043, -6.851090908596736, -7.351746233060311, -7.890096781096092, -8.4669091264913, -9.082378152719182, -9.735915274209729, -10.425892459179819, -11.14933959112614, -11.901596494813457, -12.675926808767583, -13.463109886579947, -14.251039477813471, -15.02437407037159, -15.764304350478731, -16.448520778239438, -17.051483753889194, -17.54510395913517, -17.899926953414532, -18.086874605843246, -18.079516076749087, -17.856726966555815, -17.40546022209508, -16.72322888328447, -15.819832695760855, -14.717891148540692, -13.451901624894552, -12.065803416590033, -10.609335776214849, -9.13373969412968, -7.687485385112372, -6.312669193693966, -5.042534623654138, -3.9003023886633734, -2.8992300366618546, -2.0436303289883027, -1.3304905607964956, -0.7513398496048677, -0.2940821438228577, 0.05539174911713485, 0.31190705916937417, 0.4900439775112999, 0.6034862306428932, 0.6646281269013468, 0.6843814201488895, 0.6721259733708816, 0.635757126058142, 0.5817925342890454, 0.5155107111302477, 0.4411023384512833, 0.3618215039599612, 0.2801290290925216 ], "z": [ 3, 2.942095632378369, 2.8910575018627513, 2.848023054902038, 2.8144258129436768, 2.7920674661497182, 2.7832070855940922, 2.7906709750843897, 2.8179878651026096, 2.869553124594104, 2.9508278963337626, 3.0685773374668885, 3.2311518734551874, 3.4488129557665546, 3.7341003216602795, 4.102229912945972, 4.571498821682445, 5.163653367815886, 5.904147367514052, 6.822175655352482, 7.950314821466688, 9.323538942752442, 10.977317712522947, 12.944468284040038, 15.250466173654157, 17.907091506230113, 20.90466378411582, 24.20375353277615, 27.728101398650704, 31.36128784681071, 34.950016704172334, 38.31612460519169, 41.27726201157513, 43.67299334522903, 45.390120292849026, 46.38008241495649, 46.663334590731786, 46.31995839231572, 45.47030515636301, 44.25201215010643, 42.79945046752565, 41.229349657776396, 39.63354083210193, 38.07768795375036, 36.60395927543864, 35.23561781860783, 33.9820210340768, 32.843134592026125, 31.8131676855248, 30.88326477529428, 30.043360413359707, 29.283369186719558, 28.593886088363487, 27.96654798777707, 27.39417353276446, 26.87076700210673, 26.391445224849456, 25.95232644963801, 25.550406177572814, 25.183433823606975, 24.849798380020495, 24.548426445379818, 24.27869340372974, 24.040346896940797, 23.83344094642117, 23.658278550742946, 23.515360584657074, 23.405338543365147, 23.328969188370092, 23.287068966987658, 23.28046650986626, 23.309951669311957, 23.376219950799403, 23.47981157568769, 23.621044842415195, 23.799944262696243, 24.016164476119922, 24.268911982529204, 24.556867599634952, 24.878113623722314, 25.230070602531384, 25.60944945431612, 26.012225146728746, 26.433638174390804, 26.8682294314007, 27.309912708698704, 27.752086878866105, 28.1877869194098, 28.609869283100902, 29.011224173665685, 29.385003043759166, 29.72484784250918, 30.025106732310434, 30.28102149114871, 30.488873534040753, 30.646079029961214, 30.751227812650676, 30.804065923875985, 30.80542632551721, 30.757116328608387, 30.661773071791835, 30.522699623479912, 30.343694268174367, 30.12888416015861, 29.882572505394883, 29.609105368548736, 29.31276218688099, 28.997671092146437, 28.66774844657522, 28.32666045371291, 27.977803748829366, 27.624301534846573, 27.26901182463715, 26.914544391526135, 26.563283622281446, 26.217414858472015, 25.8789523464762, 25.54976724904595, 25.231614899528072, 24.926160330903137, 24.63500173939846, 24.35969153991436, 24.101754799571953, 23.862704887442117, 23.64405616841138, 23.447333529617808, 23.274078467250618, 23.12585136241392, 23.00422947820706, 22.9108001021121, 22.84714816518956, 22.81483761229682, 22.81538570088197, 22.85022947569611, 22.92068373602364, 23.027890002441993, 23.172756316392352, 23.35588818512144, 23.57751164242005, 23.83739023730779, 24.134738775293254, 24.46813781857227, 24.835454099647215, 25.233773180489607, 25.659351584789935, 26.107596096451672, 26.573077700724813, 27.0495867076817, 27.530233769629206, 28.007597106377748, 28.47391508406694, 28.92131615471556, 29.342075236608565, 29.72888145393059, 30.07509949250108, 30.37500612776646, 30.623984651387307, 30.818663286954077, 30.956988907054264, 31.03823278554211, 31.062931835733757, 31.0327739139744, 30.950439951068496, 30.819418014293664, 30.64380472997791, 30.42810876943832, 30.177067267338625, 29.895485050880787, 29.588101151617774, 29.259485101530217, 28.913962485643342, 28.555567372849225, 28.188017997611198, 27.814711473566447, 27.43873315422322, 27.062876792115453, 26.689671538977503, 26.321413245799974, 25.96019753393409, 25.607952968564916, 25.266473099813982, 24.937446573335556, 24.622484810266087, 24.32314694082632, 24.04096195753844, 23.777447882801134, 23.534127924225903, 23.312543489550144, 23.11426389291716, 22.94089241399912, 22.794068330108615, 22.675464316956496, 22.58677856689834, 22.529720812697065, 22.50599125561461, 22.517251479385767, 22.565086398298984, 22.650956281974864, 22.77613820367414, 22.941656575192987, 23.14820312398873, 23.396047470554983, 23.68494012493633, 24.01401162010343, 24.381672339503137, 24.785519523755802, 25.22225911157791, 25.68765132803453, 26.176489429049656, 26.68262072654914, 27.199017565952417, 27.717903528958214, 28.230935346245023, 28.729437262733143, 29.204677822604832, 29.648174514137484, 30.052006438472645, 30.409113096499084, 30.71355656368563, 30.96072721011507, 31.14747773227709, 31.272177102603315, 31.334683884987722, 31.33624580069295, 31.279338678792985, 31.167462056187457, 31.00491047505754, 30.796539074062867, 30.547539905977963, 30.26324073512604, 29.948935370300244, 29.609749168338926, 29.250540437372422, 28.875835441208228, 28.489792906121465, 28.09619292516934, 27.698444891112484, 27.299609239829334, 26.90242868052521, 26.509364634446825, 26.122636365612482, 25.744260343618922, 25.376088344804, 25.019843275172192, 24.677152151576873, 24.34957596017511, 24.038636270153678, 23.74583872479248, 23.47269334431037, 23.220731696333925, 22.991520873009286, 22.786674118224294, 22.60785777126644, 22.456794070232522, 22.335259207672472, 22.245075823354615, 22.188098794914787, 22.166193506002735, 22.181205240683738, 22.23491822630381, 22.32900324645704, 22.464953221917177, 22.64400575244687, 22.867052462935003, 23.13453676789839, 23.446341577158158, 23.801671057241347, 24.198931677696276, 24.635620025020152, 25.108226509733953, 25.61216575870712, 26.14174519212947, 26.69018344097185, 27.24968857885604, 27.811601342066666, 28.366607226278017, 28.905011280492218, 29.41706445066498, 29.893322902609547, 30.325015957272317, 30.704395165389474, 31.025036692011398, 31.28207232687318, 31.472332386994424, 31.5943902733012, 31.64851058511893, 31.636510806935895, 31.561554302526915, 31.42789707363042, 31.2406120294437, 31.005313555327074, 30.72790007401982, 30.414329533983814, 30.070435353282594, 29.7017861900523, 29.31358855881144, 28.910628239132645, 28.49724460480317, 28.077331207499455, 27.65435594829039, 27.231394631164257, 26.811172875889344, 26.39611218691592, 25.988377038451414, 25.589920827160025, 25.202529237072415, 24.82786021423539, 24.467480309957967, 24.122897157095963, 23.795588275743444, 23.48702639942533, 23.198701523409486, 22.93213978526905, 22.688919222159313, 22.470682281574213, 22.279144813208568, 22.116101068334835, 21.983424029089026, 21.88306017829215, 21.817017597642785, 21.78734608288671, 21.796107790416674, 21.845336821544663, 21.936986139745052, 22.07286035579549, 22.2545332296816, 22.483249375380375, 22.759810639039962, 23.08444879806745, 23.456688090252346, 23.875203126673775, 24.337680099289734, 24.84069189401269, 25.37959936865116, 25.94849316054779, 26.54019063780141, 27.146301454147952, 27.75737077983924, 28.36310621012366, 28.952683569269187, 29.515120996250033, 30.039699024410105, 30.516398698708002, 30.936322871734543, 31.292066154043013, 31.578001807449972, 31.790461866683476, 31.927798010964796, 31.990323712484347, 31.98014985208293, 31.900936040805377, 31.75758565768189, 31.5559148612457, 31.302323449069842, 31.0034907507446, 30.66611308121345, 30.296692301819505, 29.901378552198622, 29.4858650703565, 29.05532928783317, 28.61441238090356, 28.167228786038248, 27.717397216712733, 27.268085859520326, 26.82206560343557, 26.381766466411047, 25.949333922810386, 25.526682654186892, 25.115546451385153, 24.717523551469334, 24.334117253303408, 23.96677196046487, 23.616904986101307, 23.285934506034963, 22.975304080406996, 22.68650399435897, 22.421089635492336, 22.180696902515805, 21.96705446664775, 21.78199250110697, 21.62744723224146, 21.505460420686106, 21.418172666946862, 21.367809031332875, 21.35665532819115, 21.38702315559483, 21.461201651525915, 21.581393890251697, 21.749635921110386, 21.967697115874948, 22.236961118888097, 22.55828775705572, 22.93185852928704, 23.357010336092547, 23.832063894937207, 24.354160063425276, 24.91911270732558, 25.521301235714095, 26.153615135289137, 26.80747263017805, 27.472927627428895, 28.138876271993176, 28.793365858861144, 29.42399762117383, 30.01840402840007, 30.56476856549789, 31.052348269265877, 31.471953780174598, 31.81634425135378, 32.080501385802314, 32.26176025815447, 32.35979059446358, 32.37643873591767, 32.31545463069053, 32.18213798570925, 31.98294160999834, 31.72506921921912, 31.41609886565156, 31.063655099760826, 30.675143656167325, 30.25755379500213, 29.81732624377218, 29.360279763960747, 28.891586138949705, 28.415782795732508, 27.93681211653445, 27.4580779163566, 26.98251128075469, 26.512639697549233, 26.050655235187143, 25.59847897833721, 25.157820095897527, 24.73022889638673, 24.317143813180273, 23.91993268010133, 23.539928873739328, 23.178462977270325, 22.83689061731116, 22.516617023244653, 22.21911870954008, 21.94596254151748, 21.698822188191368, 21.479491794293367, 21.289896400510642, 21.13209838482275, 21.00829884270367, 20.9208328603024, 20.872156161106112, 20.8648221269201, 20.90144617021876, 20.98465471628511, 21.117016794971548, 21.300954586335664, 21.538631996410597, 21.83181823707793, 22.181728060639, 22.58883946766182, 23.05269435764764, 23.571690500014977, 24.142876927362796, 24.76177015392106, 25.422211024865604, 26.1162862504825, 26.83433830453095, 27.565084236803628, 28.29585954737501, 29.012990116092773, 29.702282978709626, 30.349610103263878, 30.941544214885333, 31.46599341923259, 31.912778092369226, 32.27409262524143, 32.544809856273126, 32.722601547074056, 32.80787123651954, 32.80351759447753, 32.71456376142554, 32.547699343113244, 32.31078515578266, 32.01236680828551, 31.661234221214574, 31.266052079854045, 30.835074211338405, 30.37594359966441, 29.895571742768418, 29.40008565700504, 28.894828337648605, 28.384398176792487, 27.8727140399564, 27.36309489282531, 26.858345277158552, 26.36084036402396, 25.872606493157402, 25.39539477326453, 24.930746693231697, 24.480051652967862, 24.04459686350005, 23.62561047660511, 23.224298903440705, 22.841879321469957, 22.479608299909245, 22.138807297730164, 21.820885635320636, 21.527361310924725, 21.259879859042922, 21.020231071305247, 20.810363274567187, 20.63239448338491, 20.488619391398448, 20.381510818307056, 20.313713802165825, 20.288030062840086, 20.307390183880973, 20.374810342789416, 20.493330098892294, 20.6659276748983, 20.895409093647228, 21.184268335073458, 21.53451659006888, 21.9474807784877, 22.42357434669383, 22.962047339951802, 23.560727834922005, 24.215771986453845, 24.921446263297923, 25.66997010625736, 26.451452193628842, 27.253946625930034, 28.063661242139332, 28.865327024856107, 29.642730608029385, 30.37938518044567, 31.059296932953313, 31.66776233999342, 32.19212306636199, 32.62240021829002, 32.95174413871075, 33.176655325060864, 33.296962317094476, 33.31557254655194, 33.238038329026395, 33.07199779773429, 32.826557418522796, 32.5116789379293, 32.1376221155851, 31.714477926960104, 31.251810375160435, 30.758409599469907, 30.24214740910695, 29.70991965099933, 29.167655872704515, 28.62037693593506, 28.07228304707009, 27.526857758394105, 26.986976897347816, 26.455014741288483, 25.932942569075603, 25.42241700508277, 24.924857229108024, 24.441511344480244, 23.97351273185728, 23.521927823323058, 23.087796691773327, 22.672167896600875, 22.27612889384193, 21.900833122984842, 21.54752467807874, 21.217561234504174, 20.91243566264187, 20.63379650961805, 20.383467264277392, 20.163464028158124, 19.976010884187637, 19.823551875714656, 19.708758079528035, 19.634527757068234, 19.603977004408918, 19.62041771985154, 19.68731908409439, 19.80824817229126, 19.986784876449406, 20.226406150087982, 20.530334882599128, 20.90134969842946, 21.341553930495806, 21.85210521278405, 22.432911790461976, 23.08230782845436, 23.796727510592696, 24.570405954915127, 25.395142800729943, 26.26017006694567, 27.152167571931923, 28.055464002513588, 28.95244968541275, 29.824205002945593, 30.651321681684504, 31.41486152677027, 32.097370823262565, 32.68384830355205, 33.16256276801824, 33.52562864517008, 33.769279682468984, 33.89382119724316, 33.90328447748355, 33.80484418798041, 33.60808267671497, 33.32419277831137, 32.96520332011297, 32.543292899014325, 32.0702338921827, 31.55698447318291, 31.01342642532175, 30.448232373983934, 29.868837550977076, 29.281488933853147, 28.691345723907414, 28.102608944037378, 27.518662685847232, 26.942214213271082, 26.375425215989548, 25.820029271612373, 25.277433836617252, 24.748806690308633, 24.23514804411803, 23.73735011017945, 23.256246220045472, 22.79265158565774, 22.347397640921354, 21.92136167536163, 21.515493229236014, 21.13083835543844, 20.768562741845006, 20.429974302539755, 20.116545641750214, 19.82993656911414, 19.572016557110995, 19.344886743804913, 19.15090074548017, 18.992683125787778, 18.87314387791401, 18.795486693403696, 18.763208068634423, 18.78008351456716, 18.850136249677764, 18.977582857180728, 19.166749553494924, 19.42195212687313, 19.747332480124463, 20.14664536954977, 20.622990766212734, 21.17849071862735, 21.813915089831877, 22.528268356891854, 23.31835975634581, 24.17839084412906, 25.099606646139346, 26.070066595639613, 27.074597678506407, 28.094984951517066, 29.110445925319627, 30.09840048915587, 31.035512590349764, 31.89893308220143, 32.66762992661112, 33.32366304689634, 33.853254536624846, 34.24752430919632, 34.5028075364989, 34.620531894106556, 34.60669547872375, 34.471039543245226, 34.22604037194527, 33.88585079599511, 33.465305514034334, 32.97907365412917, 32.441005428433634, 31.863685504644575, 31.258179672215803, 30.633943523911636, 29.998854792149036, 29.35933030068433, 28.720492920079955, 28.08636067977635, 27.460037794106277, 26.843894181954195, 26.239725829172308, 25.648892674743553, 25.072433746783272, 24.51116114227411, 23.96573548009231, 23.43672596682269, 22.924658041495075, 22.430051566214605, 21.953452041871127, 21.495456979239986, 21.05673919952953, 20.638068447573808, 20.240332437688878, 19.864558189322732, 19.51193425652494, 19.183834254750362, 18.88184189876998, 18.607777544450865, 18.36372597361366, 18.152064851389763, 17.97549290063706, 17.83705633237611, 17.74017143579981, 17.68864042868791, 17.68665668363259, 17.738794283854197, 17.84997553499231, 18.02540863722094, 18.270486355477978, 18.590635429427397, 18.991106035119692, 19.47669129572273, 20.051369341266383, 20.717865479512117, 21.477140403124682, 22.327822462679126, 23.265618215912866, 24.28275470612221, 25.367522918889897, 26.504012641452693, 27.67212907949395, 28.847975307662313, 30.00465354848824, 31.11348709804219, 32.14559731716885, 33.07369766792318, 33.87390647430866, 34.527353061924316, 35.02136274091209, 35.35006693193581, 35.51437424184557, 35.52134203771508, 35.383077194047196, 35.115350327579606, 34.736122925197606, 34.26416394989457, 33.717883725334964, 33.114454815264565, 32.46923521148312, 31.795468494262067, 31.104210247513745, 30.404420314591288, 29.70316213320233, 29.005858714237526, 28.316567015066763, 27.63824360998821, 26.9729856345003, 26.322238702578765, 25.686969618576583, 25.067805401942977, 24.465142352064813, 23.879229775372107, 23.31023326506419, 22.758282064112375, 22.223504538208353, 21.706055124213524, 21.206135513700772, 20.72401227155297, 20.26003259915092, 19.8146395741554, 19.38838789445737, 18.98196091648485, 18.596189675045963, 18.23207424818427, 17.890808012682974, 17.573804978101982, 17.282730401816508, 17.019534697745193, 16.78649045295016, 16.58623206760003, 16.42179711252814, 16.29666792539934, 16.214811098794684, 16.18071163177685, 16.199397009328038, 16.27644486385973, 16.417965659493888, 16.630549688009744, 16.9211652691623, 17.296992491735516, 17.765173802450075, 18.332467268858586, 19.004782100582705, 19.786591639226838, 20.680222508144293, 21.685042513303344, 22.796591223078266, 24.005733866658456, 25.29794442558568, 26.652864871906164, 28.04429053836243, 29.440724484168843, 30.80659098445134, 32.104107736229395, 33.29569592289313, 34.34668056033562, 35.227933669461244, 35.91808438208819, 36.40495798031186, 36.68604270327022, 36.76795522330289, 36.665050961262004, 36.397457787465086, 35.988867333158744, 35.46439934035617, 34.8487781910063, 34.16495839241806, 33.43323606256664, 32.670807269569224, 31.891687292393936, 31.1068875736712, 30.324751329376276, 29.551365054380497, 28.790984305925196, 28.04643387164682, 27.319459414885724, 26.611021107527165, 25.921529185716828, 25.25102589575698, 24.5993216769822, 23.96609390430843, 23.350956292421763, 22.753506150827434, 22.17335552653979, 21.61015108212592, 21.063586475310256, 20.53341008207523, 20.019430160330803, 19.521518952167597, 19.03961683744737, 18.573737292706287, 18.123973225688808, 17.690505133364066, 17.273611452018027, 16.873681443376825, 16.491230965701426, 16.12692150292699, 15.781582861988024, 15.456239986309964, 15.15214436476095, 14.870810532104883, 14.614058131751229, 14.384059940208072, 14.183396091989318, 14.015114463926418, 13.882796714865437, 13.790628804271348, 13.743473747057356, 13.746942872832886, 13.807459952466075, 13.932309666057089, 14.12965843355953, 14.408531383154774, 14.778724011252727, 15.250621483772669, 15.834893014817384, 16.54202703205015, 17.381669157397898, 18.361736418430823, 19.487294974320566, 20.759222104926028, 22.172723356164056, 23.715836057546223, 25.368133433754352, 27.09990358020661, 28.87212188932117, 30.637503782057472, 32.342812603130845, 33.93238567364107, 35.352565162380536, 36.556450533023984, 37.50821342107353, 38.1862195582702, 38.584408328511664, 38.71174240750114, 38.58994523241014, 38.250064246930776, 37.728550032597134, 37.063506323661635, 36.29159180635039, 35.44582230328037, 34.554304209502305, 33.63977713886427, 32.71976251467234, 31.807101486786546, 30.910690817233448, 30.03627289259208, 29.18718394484683, 28.365007635004783, 27.57011208994105, 26.802069743910778, 26.0599713444448, 25.34265076469563, 24.648838591040683, 23.977261632814567, 23.326702758335443, 22.696032853028697, 22.084224065899182, 21.490351147588047, 20.91358575290412, 20.353187070830725, 19.808490996091965, 19.278899245361448, 18.76386918934494, 18.26290482631295, 17.77554902919547, 17.301377062122942, 16.839991263888503, 16.391016759349935, 15.954098045545745, 15.528896296111515, 15.115087271448223, 14.712359691172413, 14.320413988817187, 13.938961368170727, 13.567723096474207, 13.20642998970691, 12.85482205505251, 12.512648266014176, 12.17966645475066, 11.85564331416822, 11.540354508922542, 11.23358490023458, 10.93512889596533, 10.644790942959167, 10.362386186186217, 10.087741325747054, 9.820695712049536, 9.56110273017183, 9.30883153446189, 9.063769213734234, 8.825823482300935, 8.594926016467968, 8.371036583558682, 8.154148144058693, 7.944293150510725, 7.741551324559427, 7.546059210975616, 7.3580220062869435, 7.17772812520606, 7.005567033997856, 6.842051291408719, 6.687843584754168, 6.543789900658378, 6.410960260088378, 6.29069847208797, 6.184682858696661, 6.095000169834074, 6.0242352640565775, 5.975578992956129, 5.952957511663899, 5.961185907474797, 6.00614825813211, 6.095005909330586, 6.236432984465571, 6.440875177318537, 6.720820866652443, 7.0910669909277155, 7.5689447580865, 8.174455254345393, 8.930235524447994, 9.86124763083777, 10.994042515052836, 12.355420713059708, 13.970292501106584, 15.858562705144037, 18.03095954181243, 20.483932063090855, 23.19407904839992, 26.113035330289943, 29.164222484810903, 32.24316892714027, 35.22292619067946, 37.96521067075739, 40.336299985274984, 42.22485109774602, 43.55752257290988, 44.30834997310944, 44.4994964987483, 44.19362365251815, 43.48053390603124, 42.46192563410254, 41.23778898441431, 39.89663778214766, 38.51019811189062, 37.13197645088514, 35.79854023062623, 34.53228377209526, 33.34469526111314, 32.23948358085903, 31.21523195134507, 30.26746702191452, 29.39016528290551, 28.576782327485777, 27.820909845845005, 27.11666005535202, 26.458861266341493, 25.84312968538613, 25.265865230483985, 24.724204853962924, 24.21595578092935, 23.739522990560893, 23.293839477595427, 22.878303909552038, 22.49272780309127, 22.137292416138276, 21.812514897994085, 21.519222323793763, 21.25853199435387, 21.031836136914123, 20.84078896045986, 20.68729382889678, 20.573488101693663, 20.501722989543996, 20.474535436751008, 20.494608759964247, 20.564718609698943, 20.687660193037452, 20.866153439294415, 21.102722352121212, 21.39954602780929, 21.758279976661523, 22.179848687010665, 22.664213667337318, 23.210124841341994, 23.814868850681076, 24.474032925267622, 25.181308654827568, 25.928364216549756, 26.70481555620151, 27.49832541743392, 28.294852139940247, 29.079058249810018, 29.834870494933202, 30.546164543031473, 31.197524678197038, 31.775014104693504, 32.26688157175993, 32.664132820503326, 32.96090919073624, 33.15463826782343, 33.24595114493885, 33.23838878601847, 33.13794355923704, 32.95249620373011, 32.69121258137002, 32.363958027426555, 31.98077507010691, 31.55145441784489, 31.085212500256326, 30.59047536027933, 30.07475860799162, 29.5446269829384, 29.005714971122902, 28.462789859523983, 27.919841062465434, 27.380182444245847, 26.846557771263882, 26.321242463287184, 25.806137423594937, 25.30285281662667, 24.81278116598522, 24.337160135723444, 23.87712597379872, 23.433758925132448, 23.00812199637408, 22.60129442137255, 22.214401038637426, 21.848638606169487, 21.505299859695214, 21.185795884665968, 20.89167719165278, 20.624653465858955, 20.386611921689745, 20.179633700950284, 20.006007494961146, 19.868239151916292, 19.769055597636758, 19.71140089577813, 19.698421680098157, 19.733438621838662, 19.819900020751405, 19.961313015971943, 20.161147823545775, 20.42271015515162, 20.74897767307778, 21.14239766027047, 21.604645594465598, 22.136347687421942, 22.73677573026514, 23.403528479252127, 24.132225483964493, 24.916235875791855, 25.74648916992387, 26.61140081673795, 27.49695840856959, 28.386997842501025, 29.26368900866598, 30.108223477147487, 30.90167065691133, 31.62593828514419, 32.264749863781155, 32.80453841428194, 33.23515926471203, 33.550343985632836, 33.74785156124422, 33.82931331177525, 33.79980865961366, 33.66723933444996, 33.44158691648396, 33.134140710756675, 32.75677122891128, 32.321304937271464, 31.839032378141102, 31.320359971396613, 30.77459825810134, 30.209867636342025, 29.63309663455322, 29.05008671320312, 28.465619687034227, 27.88358738097701, 27.30712876994881, 26.738763546279262, 26.180515469085123, 25.6340219340339, 25.100628620210433, 24.581469443140577, 24.077533240391052, 23.5897190006145, 23.118881609042838, 22.66587017315949, 22.2315605790668, 21.816883974789214, 21.422852432651528, 21.05058283140514, 20.70131974025126, 20.376457884802928, 20.077564386316578, 19.806400895355235, 19.564945339076115, 19.35541271118696, 19.180273973090394, 19.04227168826325, 18.944430444798744, 18.890059540181174, 18.88274464530944, 18.92632445713627, 19.024847055617297, 19.18250053061616, 19.403511343867745, 19.692003372729157, 20.051812008537368, 20.486246663461266, 20.997800775157806, 21.5878096264941, 22.25606551485503, 23.000406424793656, 23.816306450272712, 24.69650684039773, 25.63073814441923, 26.605590493598562, 27.604589209996785, 28.608525775016137, 29.596071046460686, 30.54466452960798, 31.431633919305945, 32.23545359635142, 32.937016957426565, 33.52078129138736, 33.97564732837968, 34.29547069071243, 34.4791543291171, 34.53033122071101, 34.45670386920363, 34.269147477235684, 33.980700803184156, 33.60556394227882, 33.15819929226614, 32.652598533386836, 32.10174488554255, 31.51726975804107, 30.909282388202207, 30.28633874610193, 29.65551205752963, 29.02252924332022, 28.3919429840596, 27.767315995700773, 27.151401154401185, 26.546307083785678, 25.953643848754577, 25.374646865888046, 24.810279620161932, 24.261317187549295, 23.728413265132904, 23.212153697417275, 22.713099346816463, 22.231820923670664, 21.768928027533484, 21.325094313458933, 20.901080272011868, 20.497754898678835, 20.11611719112245, 19.757318145839264, 19.42268375750091, 19.113739290584803, 18.832234873066525, 18.580172220667922, 18.35983200551312, 18.173801016772302, 18.02499779616826, 17.91669484313838, 17.85253473870497, 17.836536642675583, 17.873088537701328, 17.966919360143503, 18.123043830723326, 18.346671496350798, 18.64307041866256, 19.01737539979009, 19.474331090409333, 20.017962348772286, 20.651168510671653, 21.375245493662945, 22.18935043177216, 23.089937902326206, 24.07021398338092, 25.119672274881914, 26.22379336472826, 27.363990727370126, 28.517891126914197, 29.660003738127386, 30.76279476126272, 31.798121779219255, 32.73891387157423, 33.560922233074756, 34.24433331005916, 34.7750321357265, 35.14535225809231, 35.35422625972017, 35.40674560458303, 35.313229090556256, 35.08796248991119, 34.74779702206617, 34.31078357909628, 33.794979930182514, 33.21751434938568, 32.59393661128857, 31.93784328104512, 31.260736415703445, 30.572060442863695, 29.87936017700651, 29.188509239002848, 28.503968195963512, 27.829043219083445, 27.166126223536036, 26.516906205687476, 25.8825476419669, 25.263836198617426, 24.661294559447185, 24.075272482326376, 23.506015658919758, 22.95371782598035, 22.418560122198095, 21.90074116179801, 21.400500669035726, 20.918138984996617, 20.45403425151176, 20.00865870249874, 19.582595160715503, 19.176554586636783, 18.791395362897866, 18.428144822572445, 18.08802340219, 17.772471706990537, 17.483180631996472, 17.222124510574783, 16.99159704376137, 16.794249446557203, 16.633129802434677, 16.511722065407685, 16.433982261461214, 16.404368486961108, 16.42785988543734, 16.509958160144652, 16.656663187884078, 16.87441205726602, 17.16996876411626, 17.550249047423172, 18.02206457022975, 18.591769671394648, 19.264797743488288, 20.0450798658717, 20.934350885019885, 21.93136630006719, 23.03107743938805, 24.223843594315028, 25.49478946794431, 26.823443072024318, 28.183796849896655, 29.54491898658623, 30.87218847340012, 32.129140242031355, 33.27979119707456, 34.29120445857057, 35.135962809626136, 35.7941985296358, 36.254879231500155, 36.51617335607064, 36.58488190495311, 36.47508435510237, 36.206262204304636, 35.80121167460232, 35.28403609995148, 34.67843660648288, 34.006424524966036, 33.28748853336646, 32.53817876347395, 31.772028349076685, 30.99971651859501, 30.229381270366222, 29.467004603790468, 28.716812947975082, 27.981654729221383, 27.263333567318924, 26.562887908785903, 25.88081615743558, 25.21725174879984, 24.57209499221193, 23.94510949969494, 23.33599064735584, 22.74441290038434, 22.170061690216908, 21.61265442438845, 21.07195424968511, 20.547779309094448, 20.0400095276938, 19.54859243445206, 19.0735490854943, 18.614980897974192, 18.173077984625714, 17.748129466857634, 17.340536173408744, 16.95082610328561, 16.579673034657073, 16.227918674641252, 15.896598769384719, 15.586973608983953, 15.300563360148214, 15.039188623510848, 14.805016521594245, 14.600612448221955, 14.42899731278912, 14.29370964488814, 14.198871214893238, 14.149253809234894, 14.150343351094202, 14.208395603148283, 14.330475088675158, 14.524465560879019, 14.799036308741409, 15.16354393416784, 15.627844327794955, 16.201985150544502, 16.895746426945063, 17.71799784795201, 18.675849482934645, 19.773588710431795, 21.011427649361128, 22.384130731963342, 23.879650712145434, 25.477969077055445, 27.15039546105501, 28.85960813284142, 30.560690271102956, 32.20330767133409, 33.73498325287523, 35.10517923053135, 36.269656990178675, 37.19443525085497, 37.85867091479636, 38.25596788185395, 38.39393891817758, 38.29220246872194, 37.97928531984632, 37.4890446719681, 36.857201721452824, 36.11843276921998, 35.30425990368288, 34.44178815945669, 33.553192785139714, 32.65578192437245, 31.762439843502023, 30.88227542263569, 30.021339515574272, 29.18331840571644, 28.37014920246284, 27.582532867413423, 26.820340946933353, 26.08292401803613, 25.36933601426415, 24.678490514698765, 24.009264350251346, 23.360562179759196, 22.73135317301789, 22.12068862960884, 21.527707132339653, 20.951632101604392, 20.39176512244324, 19.847477316804216, 19.31820021479596, 18.803417035324827, 18.302654782076228, 17.815477437993586, 17.341480264173352, 16.880285162160867, 16.431536999396396, 15.994900779144233, 15.570059538203774, 15.15671286635267, 14.754575958769347, 14.363379133498096, 13.982867764806484, 13.61280260502453, 13.25296048602003, 12.903135410993974, 12.563140066413352, 12.232807804495142, 11.91199516498673, 11.600585033939678, 11.298490556886481, 11.005659958335364, 10.722082474473856, 10.447795603738903, 10.182893979093715, 9.927540204391399, 9.681978088426625, 9.446548798405592, 9.221710525963806, 9.008062435258603, 8.806373765822235, 8.617619225411186, 8.443021838497945, 8.284104738213541, 8.142753694351885, 8.021291797100801, 7.922569044869365, 7.850068215195503, 7.80802940619419, 7.801594689044287, 7.83697330537383, 7.921626738791986, 8.064469613081672, 8.276078323949916, 8.56889258161964, 8.957385526859843, 9.45816366193347, 10.089942405767415, 10.873318260441145, 11.830235499831998, 12.983022223778566, 14.352854956045887, 15.957523460494542, 17.80841773254535, 19.90678327195098, 22.239495240435158, 24.77489940450688, 27.45960445208979, 30.217382617325985, 32.95137402967318, 35.55041140435895, 37.89939857531484, 39.892443560996476, 41.44626137291692, 42.51080467130569, 43.074541368266544, 43.16322954191428, 42.832878747026214, 42.15906907964089, 41.22538150510099, 40.11331901318678, 38.89513142841044, 37.6298959766681, 36.36241740864758, 35.124124198138645, 33.935093967767294, 32.80650108342987, 31.743009860553954, 30.744850984478635, 29.80947989042302, 28.932815943982717, 28.110114943709373, 27.336547005538428, 26.607552413956174, 25.919039017823717, 25.267472384365636, 24.649897469846632, 24.063919901958176, 23.507666282932465, 22.979736388599097, 22.47915530950592, 22.005330389840484, 21.55801534275961, 21.137282580108625, 20.74350384902202, 20.377338691563704, 20.039729894188937, 19.731904942217536, 19.455382304855046, 19.211981245523088, 19.003833619523064, 18.83339593788614, 18.70345939806857, 18.617155212467267, 18.57795191961328, 18.589640431926856, 18.65630178978129, 18.782251559598986, 18.971953930931058, 19.229897842926405, 19.560427410358464, 19.967518311383945, 20.45449721697957, 21.02369895036022, 21.676068037458002, 22.41071544575948, 23.224454529655638, 24.111352325364635, 25.062346329460173, 26.06498806145781, 27.103381118653157, 28.15837888951221, 29.208088635666847, 30.22869953149807, 31.195607694131297, 32.0847600053776, 32.8740913472216, 33.54489569879665, 34.0829677526337, 34.479371830487025, 34.730750586692814, 34.83915307880582, 34.811433113534214, 34.658325979780756, 34.39334307665531, 34.03162844731009, 33.58889928035725, 33.08055806882326, 32.52102173402103, 31.923277022620685, 31.298642496095734, 30.65670078648386, 30.005357509896722, 29.35098439499856, 28.698609399988, 28.052125093644257, 27.414494566213463, 26.787941697794842, 26.174118756046056, 25.574248635050147, 24.98924221508834, 24.419792993739343, 23.866452150491376, 23.329687523154806, 22.809929871979858, 22.30760948789097, 21.823185809990747, 21.357172278790575, 20.910158227115232, 20.482829260675807, 20.075987256671603, 19.690570855676366, 19.32767709723084, 18.98858465363937, 18.674778947769564, 18.387979234170242, 18.130167520118714, 17.903618917516788, 17.71093268072165, 17.55506272659313, 17.439345852646486, 17.367525092325085, 17.343764698244637, 17.372652107653973, 17.459180764203538, 17.60870622152563, 17.826866296295137, 18.11945454351254, 18.49223520604603, 18.950687631691277, 19.49966953464448, 20.14299265079278, 20.882910251663557, 21.719528776825904, 22.650169757422276, 23.668729561268187, 24.765105014972477, 25.924774664637713, 27.128638284663623, 28.35321654052327, 29.571291747143324, 30.753023921282225, 31.867508480616937, 32.884657555206545, 33.7772110132371, 34.52263082131444, 35.104624768361305, 35.51409088708824, 35.74936487601505, 35.81576928937102, 35.72457329110127, 35.49155354513461, 35.13538118155676, 34.676047321161036, 34.13349227223691, 33.52653832090212, 32.87216128017307, 32.18508289679265, 31.477633574742942, 30.75981766294434, 30.039513673862427, 29.322749263389376, 28.61400447237229, 27.91651003552608, 27.23252002713225, 26.563548351971367, 25.910565389522752, 25.274156101593984, 24.654643583337812, 24.05218323564753, 23.46683312727691, 22.89860576205201, 22.34750587704555, 21.81355816740347, 21.296828081904852, 20.797438217727464, 20.31558224398013, 19.85153784926118, 19.405679852922614, 18.978494349854344, 18.570594636697308, 18.182739347462704, 17.81585341203568, 17.471052132618382, 17.1496687284308, 16.853285592498175, 16.58376938601825, 16.34330993913718, 16.134462669918083, 15.96019387955876, 15.823927710316061, 15.72959286403499, 15.681666171763853, 15.685208733814003, 15.745888688341974, 15.869982303626674, 16.064342936591586, 16.336324227997824, 16.693641174319406, 17.14414837656998, 17.695518518409568, 18.354795748387975, 19.127812962833726, 20.01846353272597, 21.027840807720466, 22.153280317545626, 23.38737965655192, 24.717100052295525, 26.12310780210043, 27.579526065595914, 29.05427679136842, 30.51014826262118, 31.906635963404803, 33.20247171987744, 34.35860355591791, 35.341252015576586, 36.12460603334532, 36.69273306981662, 37.04041620469415, 37.172824556367225, 37.10413914067092, 36.85543143091074, 36.45218093962637, 35.921812992381014, 35.29155831164785, 34.58681542588005, 33.83007580982109, 33.04037494067457, 32.233172616305865, 31.420541504588478, 30.611546034963684, 29.81271274187549, 29.028518390518204, 28.261848218012606, 27.51439715791821, 26.787003265338974, 26.079913101076095, 25.39298507155225, 24.72583983702961, 24.07796775113413, 23.44880284059443, 22.837771698425612, 22.24432425677488, 21.667951925079702, 21.108197419890157, 20.56465942296734, 20.036994308910835, 19.52491659564876, 19.02819921253522, 18.54667433730929, 18.080235369805628, 17.62884027502789, 17.192516695237423, 16.771369017470246, 16.365587630554277, 15.975460634619301, 15.601388314478422, 15.243900731441478, 14.903678871970389, 14.581579836925833, 14.278666642937974, 13.996243252642707, 13.735895495089583, 13.499538538377422, 13.289471522395447, 13.108439814488156, 12.959705070118622, 12.847122803083062, 12.775226397147925, 12.749315343651691, 12.775543796346456, 12.861003143171398, 13.013789031717673, 13.243038972570433, 13.558921181845633, 13.972548764246215, 14.495786296511824, 15.140906832510481, 15.920057484606263, 16.844481729959906, 17.923464345023774, 19.162978602569332, 20.564060879767926, 22.121000801923817, 23.819520310697165, 25.63521837652682, 27.532644286363826, 29.465410905750034, 31.377708553930507, 33.207411731975334, 34.89066888841727, 36.367493281998414, 37.5875243445897, 38.51495548136105, 39.131697072182696, 39.438202952522786, 39.451906838482934, 39.20373333755079, 38.733495445204944, 38.08508399140528, 37.30220988304025, 36.42517545484564, 35.488839520980456, 34.52169143279668, 33.54580031704701, 32.57735498484973, 31.62752854232073, 30.703458924385053, 29.809202178324938, 28.946576334803545, 28.115859061309393, 27.31633389989713, 26.546697814595937, 25.80535159897986, 25.090596481948086, 24.400759799710595, 23.734268925543567, 23.089689126678348, 22.46573750419711, 21.861281988131893, 21.275331779158613, 20.70702361583729, 20.155606735926874, 19.620428304964033, 19.10092032821861, 18.5965885546722, 18.107003563651798, 17.63179403432767, 17.170642115105395, 16.72328076137474, 16.289492925771704, 15.869112519489423, 15.462027107431426, 15.068182356970416, 14.687588324708571, 14.320327733557809, 13.966566467852644, 13.626566579638073, 13.300702206290167, 12.98947886640559, 12.693556717598533, 12.413778443354111, 12.151202558106368, 11.907143019531272, 11.683216131565366, 11.4813957904562, 11.304078145286793, 11.154156677334989, 11.035108483390328, 10.951092235781289, 10.907057178968037, 10.908861928909907, 10.963399279350433, 11.078720857074712, 11.264151190293308, 11.530375251682381, 11.889476257292337, 12.354889714122532, 12.941232299166845, 13.663946176998946, 14.538693910286412, 15.58043023057023, 16.80208225834557, 18.212794993541912, 19.815753149266055, 21.605680976903493, 23.5662570546968, 25.667840854273123, 27.86606172949826, 30.10190763669799, 32.30388407219269, 34.3925371616402, 36.28714100604784, 37.9137282444476, 39.21310398223703, 40.147257464050654, 40.70282997091567, 40.890979028619334, 40.74386693042182, 40.308770274269484, 39.64120564131626, 38.79841402388365, 37.83416288368953, 36.79530579081908, 35.720078903455985, 34.63781379469903, 33.56962301851298, 32.529627216190505, 31.526379800129348, 30.564255755280445, 29.644671721459442, 28.767081871362322, 27.929743708367738, 27.130276921679187, 26.366050451386027, 25.634435502332913, 24.93295914931624, 24.259387632652697, 23.611762274236035, 22.988405426399687, 22.38790891547063, 21.80911369127169, 21.251086483974508, 20.713097120637183, 20.194598702196025, 19.695211841350364, 19.21471354685492, 18.75303088285207, 18.310239485966587, 17.886566811321895, 17.48240005582058, 17.09829872718478, 16.735011899534342, 16.39350026437369, 16.07496313948647, 15.780870626475773, 15.513001089378074, 15.273484048969795, 15.064848401027902, 14.890075568963365, 14.752656719464188, 14.65665244088759, 14.60675226052881, 14.608329939905044, 14.667488564312784, 14.791086945989367, 14.986735733414053, 15.262747844429175, 15.62802370533542, 16.091847622212768, 16.66356762648996, 17.352130928470434, 18.16544739364347, 19.109564507889747, 20.18765305882729, 21.398834612765956, 22.73692292441668, 24.189206849486173, 25.73546087661646, 27.34741240359719, 28.98891945314946, 30.617069949476612, 32.1843097169846, 33.641530482153854, 34.941833278681194, 36.044478331537334, 36.91841656720712, 37.54481186681403, 37.91813806144398, 38.04571417927206, 37.94585310961426, 37.64504540293645, 37.17471952127746, 36.56810011053777, 35.857558196210306, 35.07267064364371, 34.23903552997727, 33.37776419106049, 32.50549838938274, 31.634781732228493, 30.774628514307246, 29.931166124179764, 29.108265227064454, 28.30810552142486, 27.53165322447158, 26.77904366054776, 26.049874993832137, 25.343424770039, 24.65880319803468, 23.995056912172238, 23.35123553945135, 22.72643137198737, 22.119800346062906, 21.530570596444274, 20.958043208394738, 20.401588464292875, 19.86063982854714, 19.334687157346927, 18.823270053995234, 18.325971909283005, 17.842414904483306, 17.372256094095682, 16.91518459297987, 16.470919814446052, 16.039210782076296, 15.61983640424527, 15.212606734571706, 14.81736522859742, 14.433992025495268, 14.062408348556195, 13.702582152160648, 13.354535187806047, 13.018351716316266, 12.694189157980265, 12.38229103839839, 12.083002669941996, 11.79679008180852, 11.524262842193636, 11.266201498365955, 11.023590506716058, 10.797657640460297, 10.589921005013693, 10.402244903865155, 10.236905890282067, 10.096670363020074, 9.984884974509866, 9.905580847448404, 9.863592025145625, 9.864687569895779, 9.915715056566164, 10.024750612526725, 10.201246775468165, 10.456163860393607, 10.802062802042036, 11.253127196355845, 11.825069396214918, 12.534860514291687, 13.400208669169205, 14.4386972824834, 15.666491468058151, 17.09653709622488, 18.73622118318356, 20.584556269024844, 22.62909485297973, 24.842974712435915, 27.182707786604183, 29.587484436415835, 31.980771312378607, 34.27474104042385, 36.377519185282665, 38.20246974194538, 39.67797511331949, 40.755736410611746, 41.41577210909744, 41.667061174318164, 41.543905389785955, 41.09913717023487, 40.39589885293587, 39.49972397251229, 38.472183633175945, 37.366693547970236, 36.22647141409132, 35.08423993620606, 33.96311170965252, 32.87811285790676, 31.837918735520592, 30.846519283285105, 29.9046598618704, 29.0109984282634, 28.162980507960736, 27.357465449772125, 26.59115049529879, 25.860840022374184, 25.16360216923729, 24.496847542036086, 23.858356837780224, 23.246277209239647, 22.659101437695163, 22.095639474751106, 21.554988578954422, 21.036505876762007, 20.53978554571847, 20.06464172175332, 19.611097575672073, 19.179380608613645, 18.769924003398746, 18.38337380727899, 18.020601680311845, 17.682722964846928, 17.371119828267002, 17.08746919454798, 16.833775081616366, 16.61240478272873, 16.42612802344083, 16.278157765793605, 16.172190670589536, 16.112444317736006, 16.103687075364675, 16.151254954168095, 16.261047860034214, 16.439495382291845, 16.69347971922413, 17.030200767201247, 17.4569661869494, 17.98088826800373, 18.60846872542584, 19.345060861153495, 20.194200841948724, 21.156821350071407, 22.23038001253888, 23.407966145184606, 24.677483934235426, 26.021046571270766, 27.41473141409477, 28.8288596913096, 30.228919472152302, 31.577182596897877, 32.83494995577017, 33.96522778858771, 34.935517713615766, 35.72033188180347, 36.30305713146662, 36.67688718853101, 36.844713280572904, 36.818045702808575, 36.61520559447101, 36.25911786156562, 35.77504936587785, 35.1885777401731, 34.52397855786021, 33.80310976294662, 33.04478129122235, 32.264536544666015, 31.474743046682097, 30.68488564633365, 29.90196877677088, 29.13095560938736, 28.375193752626082, 27.636797918191604, 26.916975056715113, 26.21628846276613, 25.534864296645825, 24.872547665064705, 24.229016767894006, 23.60386378102058, 22.996650287156793, 22.40694396233479, 21.83434195261638, 21.27848522421597, 20.739067143966405, 20.215838686296927, 19.7086120121867, 19.217263651674457, 18.741738217439593, 18.282053174680286, 17.838305244302106, 17.410678752063763, 16.999456267135972, 16.605031856782475, 16.2279272962826, 15.868811616024994, 15.52852440721625, 15.208103357319374, 14.90881651250123, 14.632199825265902, 14.380100451028488, 14.154726255154602, 13.958701812299626, 13.79513089425277, 13.667664915585217, 13.580576214405932, 13.538833904037554, 13.548178530375223, 13.615189431804826, 13.747336300737643, 13.953002151921012, 14.241461839716697, 14.622791381418143, 15.107682380191795, 15.707125838856799, 16.431927843906813, 17.29202118510214, 18.29553979393755, 19.447646610098168, 20.74913543403788, 22.194881747501842, 23.772285933704634, 25.459935407358927, 27.226775518509577, 29.032130009314823, 30.82686723853769, 32.55588832897963, 34.16188147292904, 35.58999222830591, 36.79277439509762, 37.73461450056331, 38.39483987619593, 38.76896144040841, 38.867894719703685, 38.71542902869498, 38.34454155858241, 37.79329031906758, 37.10096229550758, 36.30495542420283, 35.43862364093527, 34.530090970155285, 33.60188740042758, 32.67118609610929, 31.750414397934584, 30.848043856801326, 29.969415778402066, 29.11750956389388, 28.293604826320927, 27.497819261842793, 26.729524659103987, 25.987654593965004, 25.270922137143625, 24.577966623687868, 23.907446925206706, 23.258095976781775, 22.62874842785218, 22.018350473916765, 21.425958579205215, 20.85073180929654, 20.291921069902617, 19.748857236898154, 19.220939595470405, 18.707625236453467, 18.208419778628663, 17.722869510252067, 17.25055491210729, 16.79108544275926, 16.344095434415284, 15.909240942424807, 15.486197402125143, 15.074657966646217, 14.674332421563726, 14.284946598202346, 13.906242229637863, 13.537977217093445, 13.1799262952858, 12.831882106202642, 12.493656711207116, 12.165083590339178, 11.846020204231198, 11.53635121308625, 11.235992479375719, 10.944896009933544, 10.663056033438872, 10.390516462304525, 10.12737998877305, 9.873819266791108, 9.630090524769289, 9.39655016740182, 9.173675044610087, 8.962087135013736, 8.762583525460771, 8.576172826059723, 8.404119176894415, 8.247995932499972, 8.109749430181214, 7.991776288994364, 7.8970151341553105, 7.82905535484948, 7.792264800665924, 7.791937505268037, 7.834462408523614, 7.927511300732342, 8.08024192363011, 8.303507074257531, 8.61005368323634, 9.014685714752005, 9.534349542514027, 10.188085269553545, 10.996759583448684, 11.98247630242218, 13.167533614167775, 14.572789480968503, 16.2153075470358, 18.105222837723414, 20.241894505884893, 22.60963942329216, 25.173644130537564, 27.876990307103945, 30.63998346195017, 33.36294829642994, 35.93321414509516, 38.236050272504144, 40.16804880143511, 41.650327250753534, 42.638500175856066, 43.126998108477835, 43.14685721974461, 42.7579379383622, 42.0379059341382, 41.07073531970388, 39.936995417121345, 38.70716789728802, 37.43820115622779, 36.17277772324545, 34.940443022492055, 33.75974182234146, 32.64068774355287, 31.58712416459361, 30.59874256925921, 29.672676546328358, 28.804681445168214, 27.989957136477386, 27.22368729471434, 26.501366956762613, 25.818980228762832, 25.173077438059437, 24.560788796877727, 23.979801159442594, 23.428316205951784, 22.905002060278306, 22.408945817336736, 21.93961134678798, 21.496804577142438, 21.08064704709989, 20.691557731281492, 20.33024256438998, 19.997690851083778, 19.695177451148062, 19.424269618374257, 19.186837107562102, 18.985064002846432, 18.82146037774247, 18.698871608077287, 18.62048239565483, 18.589812035064867, 18.610696715338957, 18.687253497637368, 18.82381985526922, 19.024861681766517, 19.294842222352145, 19.63804298673675, 20.058332382438554, 20.558873484281236, 21.14177281724778, 21.807673768679518, 22.55530942550994, 23.381039994806116, 24.278413224240285, 25.23780152403284, 26.246175293078668, 27.287083423996652, 28.340901033273273, 29.385388879551446, 30.396573666665706, 31.349913777734724, 32.2216643955753, 32.9903089982614, 33.63789723858061, 34.151126019224996, 34.52203109531285, 34.74821137751657, 34.83257880487462, 34.78269559467445, 34.6098136907223, 34.32775784522158, 33.95179334799423, 33.497594730087044, 32.980395713087496, 32.41435920428255, 31.81217073016404, 31.18483239474286, 30.54161921864711, 29.890154466179258, 29.236562047710624, 28.585660564637642, 27.94117148513366, 27.3059223389619, 26.682032829658887, 26.071077706999088, 25.474224362077926, 24.892345873903878, 24.32611194052902, 23.776060903769007, 23.242656315105858, 22.726331368581068, 22.227524187596536, 21.746706542064263, 21.284408152374883, 20.841238284196603, 20.417906058733895, 20.01524054037216, 19.634211435098877, 19.275951014395368, 18.941777687265706, 18.633221449366552, 18.352051331573403, 18.10030448786755, 17.880316671293958, 17.694753128554392, 17.546638672259736, 17.439384930752002, 17.376812147274478, 17.363161708544123, 17.40309450454865, 17.501668863599342, 17.66429004146439, 17.896621709014426, 18.204448679454735, 18.593478800970527, 19.069072426693133, 19.63588919871431, 20.297447114383573, 21.05559513689352, 21.909914793648067, 22.85707999072372, 23.890227246727516, 24.998408161831872, 26.16621703209135, 27.373696553722088, 28.5966206054465, 29.807227643842, 30.975425523495794, 32.07041878585123, 33.06262414443391, 33.92566962533529, 34.63822482893697, 35.185417014350314, 35.55963878089962, 35.76065378818284, 35.79502101374964, 35.674964881806225, 35.416891925918584, 35.03977785541371, 34.56362947653961, 34.0081735182018, 33.391858896175215, 32.73119576337082, 32.04040609571083, 31.331330565955366, 30.613523924382122, 29.894472297011422, 29.179875173780534, 28.47394811707042, 27.77971587981902, 27.099277513999155, 26.434034281170586, 25.784878016650918, 25.152341760117746, 24.53671691273952, 23.938142256907348, 23.356670298585996, 22.792315990846696, 22.245092382654523, 21.715036866183947, 21.20223105628809, 20.706816703244336, 20.229009433330873, 19.769111781575724, 19.327526575728182, 18.904771513221714, 18.501495591397923, 18.118497927022467, 17.756749404475805, 17.417417569798726, 17.101894965662158, 16.811831263433703, 16.549169172884206, 16.31618412280265, 16.11552724146282, 15.950270978724626, 15.823955911104104, 15.74063661979135, 15.704923490783147, 15.722015690067483, 15.797718763578564, 15.93843848939261, 16.151139036633776, 16.44325210661846, 16.822518851784015, 17.296745726243, 17.873453352056455, 18.55939913093216, 19.359959991812225, 20.27837287524685, 21.314849855260324, 22.465612526236942, 23.721926130962338, 25.069253987633413, 26.48668930639696, 27.946842737694478, 29.416355032518393, 30.857152188085735, 32.22846047812564, 33.4894598770452, 34.6023021969691, 35.53510109176645, 36.26445031655641, 36.77707866068146, 37.07039585023867, 37.1518917315526, 37.037557317003326, 36.749654146912, 36.31422005626386, 35.758677897737584, 35.10981799190448, 34.392304271448346, 33.627737511156056, 32.83422138680881, 32.02632703699517, 31.2153347611776, 30.40963934225012, 29.61522662565656, 28.836154698159145, 28.074997330726458, 27.33322727969221, 26.611531521528693, 25.91005994309661, 25.22861440799947, 24.566787576844654, 23.92406134524315, 23.29987406823349, 22.693664622990696, 22.104899836287487, 21.533090492455827, 20.97779983972259, 20.438647551378264, 19.915311227078323, 19.407526914589138, 18.915089660830002, 18.437854790829764, 17.975740391437647, 17.528731306406648, 17.09688495881872, 16.680339207100523, 16.27932249768264, 15.89416658339536, 15.525322136098783, 15.173377638114392, 14.839082007267589, 14.523371441613369, 14.227401142685556, 13.952582446392572, 13.700626083222106, 13.473592201104141, 13.273947668112575, 13.104631019661127, 12.96912507729027, 12.871536647756866, 12.816681697273347, 12.810173341494938, 12.858508110019217, 12.969141460848403, 13.150544634202241, 13.412223109730023, 13.764677983621079, 14.219280290278324, 14.788022588358526, 15.483105723371985, 16.316314799763344, 17.29813963855231, 18.43660896701274, 19.73583541634585, 21.19431702652734, 22.803118694193184, 24.544137796241834, 26.38877360665711, 28.29737927421358, 30.219896676491192, 32.097978820143965, 33.868682033363605, 35.469478510791, 36.84396415481236, 37.94734882763894, 38.75073732790043, 39.24339072466949, 39.432595892944164, 39.3413006897648, 39.00413224900831, 38.46266580030752, 37.76080416696644, 36.940920223282525, 36.04111134906001, 35.09362355643505, 34.124294611465075, 33.152755880952746, 32.193113857589935, 31.254867346322097, 30.343879113175273, 29.463284236489283, 28.614272711203842, 27.79672320800719, 27.0096905808823, 26.251763706508136, 25.52131611628449, 24.816672647764403, 24.13621327217124, 23.47843185154278, 22.841964025538157, 22.225594967156134, 21.628254883167074, 21.049007791962612, 20.48703732980872, 19.94163192363482, 19.412170840417957, 18.898111889777255, 18.398981150314366, 17.914364826066663, 17.44390319320254, 16.987286525490923, 16.54425287200121, 16.114587567093583, 15.698124405943156, 15.294748449980291, 14.904400494160123, 14.52708328680775, 14.162869658741329, 13.811912789437871, 13.474458915866627, 13.150862865480939, 12.841606890529478, 12.547323376578053, 12.268822108571985, 12.0071228667126, 11.763494253160555, 11.539499747483006, 11.337052067600148, 11.15847695092234, 11.006587429505423, 10.884769501149334, 10.79707974612179, 10.748354723287708, 10.744330857377415, 10.791771812915693, 10.898597596032834, 11.074005781547557, 11.328569905517003, 11.674292805559777, 12.124582888138526, 12.694110958812793, 13.398491784021976, 14.25372336447878, 15.275307985816477, 16.47698313827445, 17.869008608609988, 19.456007566344326, 21.234445128589034, 23.189959583777217, 25.294925902825366, 27.506797012024077, 29.767873952557498, 32.00712738970706, 34.1444390047282, 36.097156421247256, 37.78821679310711, 39.154502172174276, 40.153788443183956, 40.76882472975176, 41.00773246734496, 40.900827505177155, 40.49480681683586, 39.845718575082245, 39.01214129002116, 38.04962950812992, 37.00694996195659, 35.92413606100261, 34.83205424891376, 33.75302763766131, 32.70206293392368, 31.6883122807906, 30.716516172814487, 29.788280754922244, 28.903125412586466, 28.059291443192887, 27.254333840180657, 26.485532284172987, 25.750160580370483, 25.04565082535603, 24.369682971639282, 23.720224080812496, 23.095535601237188, 22.494161940288215, 21.91490957057371, 21.356822817120495, 20.819160245917736, 20.301373993985443, 19.803093328555597, 19.324113036238113, 18.864386867455316, 18.424026025186958, 18.00330261621812, 17.602657982798572, 17.222715853716984, 16.8643003386413, 16.52845882804383, 16.21648991664089, 15.929976466297818, 15.670823887462694, 15.44130358973833, 15.244101335897787, 15.082369836632456, 14.959784376700112, 14.880599409263027, 14.849702904275647, 14.87266364096587, 14.955764554928768, 15.10601276094538, 15.331112682973833, 15.639387449937008, 16.039626209129306, 16.540834715484472, 17.151861928789096, 17.880876801685602, 18.734673515210716, 19.717797164733323, 20.83150172246086, 22.072587766834086, 23.432211623868003, 24.89481051268898, 26.43734085192124, 28.029056442765487, 29.632053583076726, 31.20274323307677, 32.69428320913651, 34.05982165580054, 35.256198478847196, 36.24759067522815, 37.008525853173964, 37.525765148513166, 37.79876317652388, 37.83869391419368, 37.666304426847056, 37.30904633217747, 36.7979965941361, 36.16501790037751, 35.44047029905252, 34.65161826806126, 33.821731804469046, 32.96977982033179, 32.110565289703175, 31.25514442608394, 30.411392512906424, 29.584611757582913, 28.778111060561216, 27.99371753231098, 27.232202336243166, 26.49361881461019, 25.77756005267134, 25.08334750846856, 24.410163781360172, 23.757142007314222, 23.123422905089352, 22.508188540489478, 21.910680088844877, 21.330204993471245, 20.766137562951986, 20.21791584713793, 19.685036721571105, 19.167050533056656, 18.66355596039455, 18.17419569613165, 17.698653155761626, 17.23665033107713, 16.787946844259164, 16.352340227542445, 15.929667432457896, 15.519807615767544, 15.122686256661002, 14.738280712436604, 14.36662736544471, 14.00783056811246, 13.662073657441955, 13.329632378388068, 13.01089113289854, 12.70636256033481, 12.416711049285533, 12.142780895764771, 11.885629846229794, 11.646569132628372, 11.427210788985336, 11.229523498601258, 11.05589812213588, 10.909223890366256, 10.792976238959927, 10.711316745388569, 10.669205018157978, 10.672520987380922, 10.728194454079983, 10.844335611009013, 11.030356573698818, 11.297067725953037, 11.656725637908064, 12.122999714791765, 12.71081176123787, 13.435991773148698, 14.314679771091127, 15.362396773105639, 16.592712930816205, 18.01546155859716, 19.63450484543888, 21.445149017701862, 23.431445770721705, 25.56378519490778, 27.79735445620237, 30.072126605165494, 32.314996012939474, 34.444387909315566, 36.37715695744473, 38.036933386478765, 39.36249621700344, 40.314501387420755, 40.87914024638288, 41.068019671013644, 40.914498118439354, 40.467529521860776, 39.78448662033989, 38.924380233203316, 37.942476299358454, 36.88676347260564, 35.796237521809594, 34.70065643078131, 33.62129575563737, 32.57225173000883, 31.561934732538596, 30.594513166246685, 29.671173757862707, 28.791143940529786, 27.952473569710705, 27.152601778795546, 26.388746840974314, 25.658158778541523, 24.958270782814385, 24.286779552047133, 23.641678164027375, 23.021259170316277, 22.42410061958595, 21.84904379052508, 21.29516842746124, 20.76176913798315, 20.248335104693567, 19.75453427353538, 19.28020253928186, 18.8253380966941, 18.390100928941237, 17.97481733345036, 17.579989397761953, 17.206309369935894, 16.85467893515877, 16.52623345713871, 16.22237127597917, 15.944788138677415, 15.69551677001429, 15.476971429997537, 15.291997023679363, 15.143921885961356, 15.036612702044014, 14.974529079846791, 14.9627739866147, 15.007134517666874, 15.114105207442178, 15.290883277668366, 15.545321868405031, 15.885823818306655, 16.3211532258384, 16.86014303321469, 17.51126936840025, 18.282071182262126, 19.17839726828453, 20.203480454984604, 21.356863823756004, 22.633241358683517, 24.0213226097821, 25.50288399225328, 27.052211463914954, 28.636161427447934, 30.21503906268354, 31.74441002822889, 33.17781088718635, 34.4701369630965, 35.58129662542453, 36.47959718968897, 37.144317226217, 37.56704468137941, 37.75159513268182, 37.71260276538334, 37.473117023806445, 37.06167702837033, 36.50934883872445, 35.84712058148948, 35.10389967135969, 34.305198819804644, 33.47247033637555, 32.622968895302165, 31.76999085490967, 30.923342183131737, 30.089911559053608, 29.274258840097694, 28.479160995420862, 27.7060844923342, 26.955572813173113, 26.227550275429447, 25.521551082762738, 24.836885292332646, 24.17275446046621, 23.52832858777559, 22.90279452360263, 22.295384075940415, 21.705388271376854, 21.13216260606433, 20.575126831528973, 20.033761759603443, 19.50760476301712, 18.996245073401006, 18.4993195546004, 18.016509389827803, 17.547537826781983, 17.092169183347366, 16.650209121833907, 16.221506248927547, 15.805955089600193, 15.40350051048614, 15.014143707256677, 14.637949918153408, 14.275058082565183, 13.925692728730837, 13.59017844475552, 13.268957368721301, 12.962610220972135, 12.6718814979714, 12.397709554393225, 12.14126233729372, 11.903979843548788, 11.687624116836025, 11.494337942103675, 11.326713289912961, 11.187870350780214, 11.081547818871947, 11.012204530626304, 10.985131578184944, 11.006572570560898, 11.083847584184193, 11.225472829881685, 11.441263904393688, 11.742403186270359, 12.141446126762055, 12.65222768543232, 13.289621953981609, 14.069094118158505, 15.005975898901676, 16.114392802514576, 17.405784710610863, 18.886994342230718, 20.55796838125169, 22.409222510837452, 24.419365415121355, 26.553139049409815, 28.760563877154095, 30.97780460820558, 33.1302376309691, 35.137831148086626, 36.92239800021779, 38.415682080827764, 39.5668047405795, 40.347556050691225, 40.75443692389155, 40.807143485028796, 40.54404494542088, 40.01583742623096, 39.27877074442787, 38.38864801387482, 37.39634570230896, 36.34509848953304, 35.26939578018346, 34.195110893118745, 33.1404201644704, 32.11711600161822, 31.132016524700322, 30.18828127813428, 29.286534506981752, 28.425761317928934, 27.60398410341146, 26.818747377256894, 26.067447412954714, 25.34754276343605, 24.656678090796287, 23.992747556445764, 23.35391829285122, 22.738629190793464, 22.145575846110514, 21.573689102226275, 21.022112058195756, 20.490178581212916, 19.977395088425666, 19.48342652001432, 19.008086918380112, 18.551334714091894, 18.11327269136625, 17.69415255415547, 17.29438404222613, 16.914548600969237, 16.555417682056348, 16.217975819321254, 15.9034486810286, 15.613336325326621, 15.3494518703621, 15.113965689490696, 14.909455074836316, 14.73895898344955, 14.606036985977813, 14.514830788500635, 14.470125627376373, 14.47740734985084, 14.542908992781703, 14.673638067694261, 14.87737256414759, 15.162609517056085, 15.538445799711655, 16.014367133928243, 16.599915795521156, 17.304208075831063, 18.1352738732967, 19.0992001703675, 20.199080370871194, 21.43380113656049, 22.796745754484906, 24.27454772505448, 25.84609101267466, 27.481998864725718, 29.144871788953715, 30.790490347988854, 32.3700831642925, 33.833574179595836, 35.13349517006252, 36.22904273635674, 37.089644538177374, 37.69743308359147, 38.04821707586973, 38.15084113887462, 38.025146354380496, 37.69899008580537, 37.20489254755559, 36.576841295920374, 35.84764284502464, 35.04702352047077, 34.20050913146018, 33.3289868032558, 32.448786485746126, 31.572104369384714, 30.707609296307986, 29.86110935110628, 29.036194837988493, 28.234809062294, 27.457724856855005, 26.704923349097704, 25.975882269276, 25.26978656807376, 24.585676071336746, 23.92254424394575, 23.279400522357825 ] }, { "mode": "lines", "type": "scatter3d", "x": [ 10, 9.354907577729238, 8.988072411711185, 8.858724069475276, 8.934399089175802, 9.189096029919757, 9.601524747055576, 10.153438749115425, 10.828015807336355, 11.608255706071684, 12.475389608711899, 13.407342740513576, 14.377359564906737, 15.3529847802259, 16.295676206338868, 17.161374388269504, 17.902320618042673, 18.470251691466544, 18.82078966643596, 18.918441603952704, 18.74126552161026, 18.284126202589075, 17.559687734332584, 16.59683927093908, 15.436926045824174, 14.128686540955744, 12.722986265345634, 11.268276283761395, 9.807326363145481, 8.375372670882426, 6.999512618748752, 5.699021348559527, 4.486237861561983, 3.3677199995297133, 2.345451840605813, 1.4179694655086772, 0.5813368419020206, -0.17005083045111558, -0.8428320106224763, -1.4441931716088292, -1.9815087697918758, -2.4620826019290596, -2.892968622887208, -3.280852555770363, -3.6319790691439944, -3.952112462469204, -4.246521184380896, -4.519979278872668, -4.776778786021238, -5.020749077374788, -5.255279872320922, -5.483345538119192, -5.707528869259734, -5.930043043676781, -6.152750830661204, -6.37718042670246, -6.604537527666908, -6.8357135502689195, -7.071290073790294, -7.31153982209668, -7.5564247130216895, -7.805591810967945, -8.058368211060262, -8.313756201661334, -8.570430325363112, -8.826738211168538, -9.080707257221832, -9.330059362407665, -9.572235881133423, -9.80443476581381, -10.023661420832155, -10.226794083962673, -10.410663607536923, -10.57214615074829, -10.708266173481212, -10.816305590607946, -10.89391357199559, -10.939210755891615, -10.950881041053465, -10.928244465762159, -10.871305498934712, -10.780772685036142, -10.658047681594745, -10.505184075450543, -10.324818707686932, -10.120080262173214, -9.89448141883072, -9.651801672453404, -9.395968028948266, -9.130940202624679, -8.860605971006011, -8.588690665538724, -8.3186836863278, -8.053783069362737, -7.796857990604189, -7.55042804109766, -7.31665739079158, -7.097361401742184, -6.894023241927406, -6.707817916451548, -6.539641337729375, -6.390142344022274, -6.259755886723626, -6.148735871185709, -6.057186604826615, -5.985091901328218, -5.932341286835403, -5.8987528923838495, -5.884092804430068, -5.8880907651793475, -5.910452189884948, -5.950866546286944, -6.009012158115795, -6.084557517969254, -6.177159198902821, -6.286456447405395, -6.412062543462931, -6.553553010857554, -6.710450777406443, -6.882208417110062, -7.0681876664586625, -7.267636549548718, -7.479664439124152, -7.703215697849149, -7.937042795405424, -8.179679769380435, -8.42941751736472, -8.684282983896766, -8.942023418463842, -9.200098853397769, -9.455684817267118, -9.705688062390209, -9.946777415292852, -10.175431853840141, -10.388006775667229, -10.580818391238536, -10.75024482326108, -10.89284062074083, -11.005459811574768, -11.085380939317842, -11.130426336524561, -11.139067315782608, -11.110507280639043, -11.04473572866822, -10.942548319254373, -10.80553055840575, -10.636005900051456, -10.436951742437309, -10.211889383340015, -9.964755800273423, -9.699765956478382, -9.42127429960047, -9.13364333805738, -8.841125677443673, -8.547764052783716, -8.25731208668172, -7.973176654028824, -7.698381155822093, -7.435548040456596, -7.186897922021334, -6.9542623411718685, -6.739107060663572, -6.542562905428608, -6.365461447527255, -6.208373166716348, -6.071646129748321, -5.955443671724321, -5.8597798899986415, -5.7845521357299035, -5.729569929383299, -5.694579986533424, -5.679287172871376, -5.6833713758504025, -5.706500304096939, -5.748338340432636, -5.808551561270859, -5.886809027568973, -5.982780444442231, -6.096130315644035, -6.226508627493402, -6.373538125971004, -6.536798252826038, -6.715805809838286, -6.909992476004088, -7.118679371115259, -7.341049019002257, -7.576115211767752, -7.822691523413458, -8.079359529228945, -8.34443813158231, -8.61595576632321, -8.891627749383435, -9.16884135536565, -9.44465155741624, -9.715790580221867, -9.978694260606044, -10.22954794758174, -10.464353808089696, -10.679020254800859, -10.869472277858588, -11.031780163960285, -11.16230087706242, -11.257825020058542, -11.3157202618887, -11.33406106184897, -11.311734542735687, -11.248513530534261, -11.14508991137132, -11.003064596009347, -10.8248942645507, -10.613798563164254, -10.373634850496954, -10.108749883653411, -9.823819129988635, -9.523684426514363, -9.213199756379726, -8.897092971520165, -8.579849171982131, -8.26561891946738, -7.958152327627887, -7.660758119812842, -7.376285391767626, -7.107124783563825, -6.855225469780834, -6.6221241516555835, -6.408982423237829, -6.216629345215346, -6.04560643660301, -5.896212893851886, -5.768549282862425, -5.66255843928564, -5.57806269089865, -5.514796862375445, -5.472436758957375, -5.450623029905808, -5.448980438270283, -5.467132661528716, -5.504712782210584, -5.5613696333551434, -5.636770186197508, -5.7305981061089355, -5.842548582086012, -5.972319505032544, -6.119599012668905, -6.284049419460749, -6.465287520884836, -6.662861277855967, -6.876222979488562, -7.104699043466139, -7.347456757523998, -7.603468557350323, -7.871474706052397, -8.149945449782715, -8.437044777568463, -8.730597232163948, -9.028061337307003, -9.326512297197164, -9.622638005492837, -9.912752032494678, -10.19282750028508, -10.458555143737513, -10.705427680315939, -10.928850814135162, -11.124279719517526, -11.287376079836708, -11.414178748832978, -11.501278100441743, -11.54598221879866, -11.546462034942108, -11.501863127021213, -11.412373812180475, -11.27924243649515, -11.104741450747554, -10.892080459495501, -10.645275173942867, -10.368982743048061, -10.06831628027622, -9.74865212790136, -9.415442647494832, -9.074045257547391, -8.729575790322071, -8.386791058801789, -8.050002699629204, -7.723021706301359, -7.409131192889035, -7.111083505376234, -6.83111727744622, -6.570989698689111, -6.332019482694777, -6.115136551367946, -5.920934955735788, -5.7497263092309305, -5.601591551741242, -5.476429508205593, -5.374001175467133, -5.29396910962639, -5.235931579623982, -5.199451419171529, -5.184079644996695, -5.189374077637888, -5.214913145225199, -5.2603051926937905, -5.325193515008675, -5.409257326257592, -5.5122088346056355, -5.633786509462767, -5.773744581766352, -5.931838784996454, -6.107808196765805, -6.301353174602048, -6.512109265027984, -6.73961700678957, -6.983287763157675, -7.242365726216663, -7.515886480723589, -7.8026332957789455, -8.101091807813107, -8.409405338482594, -8.725333110647915, -9.04621453155788, -9.368943374205704, -9.689956299425747, -10.005240727994241, -10.310366815234511, -10.600548118956372, -10.870734230333493, -11.11573651408041, -11.330385947129649, -11.50971785994399, -11.649175294073581, -11.744818844877752, -11.793528131279617, -11.793178604987737, -11.74277793299668, -11.642548566506902, -11.493947581802757, -11.299620718467247, -11.063293824226852, -10.789610867062965, -10.48393227775065, -10.152110146721427, -9.800257426919668, -9.434526919276218, -9.060912937292052, -8.685084911316206, -8.312258023777847, -7.947102362596712, -7.59368894249157, -7.255468753628702, -6.935279559832524, -6.635374674436592, -6.357467800004505, -6.102788590477884, -5.872144211498469, -5.665983072748104, -5.48445768228554, -5.327484431636089, -5.194798752352384, -5.086004707240211, -5.0006185138032, -4.938105844596292, -4.897913003562015, -4.879492222454568, -4.882321440606682, -4.9059189387502595, -4.949853205786223, -5.013748385039426, -5.097285580835025, -5.200200228064238, -5.322275642141318, -5.463332823368574, -5.623216370136642, -5.801776486629761, -5.99884682369401, -6.2142179337564745, -6.44760615320013, -6.698617710387708, -6.966707990819186, -7.251136144030427, -7.550915483986421, -7.864760495255993, -8.191032207276292, -8.527683624188287, -8.872208807302009, -9.22159928777352, -9.57231293569138, -9.920260977948999, -10.260819674723988, -10.588872950138319, -10.898891720773163, -11.185053966704478, -11.441406506798362, -11.662066333662997, -11.841453661470927, -11.974544620656664, -12.057126597180055, -12.086036044481054, -12.059357501177255, -11.976564265376474, -11.838585464339555, -11.647791352980143, -11.407896759333669, -11.123791148465875, -10.80131071623075, -10.446972867515424, -10.067695321255409, -9.67052118412087, -9.262368038440474, -8.849814398129533, -8.438931533346121, -8.035163478231702, -7.643253811543472, -7.267214575440709, -6.910330768126926, -6.575192900802966, -6.2637500980773995, -5.977376782682587, -5.716946931602659, -5.482910986970662, -5.275371630729009, -5.094155669925492, -4.938880180888661, -4.809011808230078, -4.703918687898143, -4.622914901862569, -4.565297669257711, -4.530377694694867, -4.517503170054006, -4.526077990724007, -4.5555747395386, -4.605542933988788, -4.675612962027607, -4.765496039961158, -4.874980430121501, -5.003924005476814, -5.152243182509447, -5.319898100837659, -5.506873833987335, -5.713157305933017, -5.93870952510254, -6.183432718900205, -6.447131948351112, -6.729470862341123, -7.029921417897986, -7.347707679608822, -7.681744278262818, -8.030570696676364, -8.39228336458268, -8.764468538932563, -9.144140662825317, -9.527690873908234, -9.910853626279517, -10.288698704383469, -10.655657722337793, -11.005593157048894, -11.331917358071358, -11.6277649796212, -11.88621915674822, -12.100584493945624, -12.264693881232235, -12.3732291249069, -12.422029884626605, -12.408362636233566, -12.331122217180644, -12.190943336377309, -11.99020824178115, -11.732947693893276, -11.424644333528628, -11.071957646048755, -10.68239700184917, -10.263972449743777, -9.824851866114669, -9.37304875012391, -8.916158323747721, -8.461152288554047, -8.014235472914326, -7.580761968327057, -7.165204066901871, -6.771164953815413, -6.40142510470497, -6.058012634514075, -5.7422886133931605, -5.455039994794644, -5.196574037530449, -4.966809983581756, -4.7653647998078075, -4.591631047296161, -4.444845812567203, -4.324150425002709, -4.228641014345034, -4.157410414295435, -4.109582094502363, -4.0843368773110855, -4.080933242389785, -4.098721998358003, -4.1371559818801, -4.195795417863446, -4.274309418724887, -4.37247395944232, -4.490166558050217, -4.627357747778468, -4.784099260991246, -4.960508738235166, -5.1567506151211, -5.373012709483095, -5.609477935814437, -5.866290459380686, -6.1435155751547486, -6.441092601924149, -6.758780187319187, -7.096093660266646, -7.452234436908713, -7.826012177642742, -8.215761211272866, -8.619253979851717, -9.033615754587663, -9.455246665895393, -9.879759050620294, -10.301940032720431, -10.715750784241097, -11.114374620864625, -11.490325345902491, -11.835624405815006, -12.142050985055674, -12.401461113328967, -12.60616286989737, -12.749324765091057, -12.825384881568644, -12.830422547194662, -12.762453468327669, -12.621613204073, -12.410205708210263, -12.13260868085144, -11.79504442996278, -11.405240557054325, -10.972016266242896, -10.504835182274535, -10.01336472572463, -9.507076032263656, -8.994908693682557, -8.485014109260357, -7.984581042311495, -7.499739143349537, -7.035530458907486, -6.595935960551624, -6.183943200800687, -5.801641886908177, -5.450335767174162, -5.130661346321173, -4.842706172213757, -4.586121499028617, -4.360225911301984, -4.1640979514748695, -3.9966568906460997, -3.856731608969638, -3.743118102847038, -3.6546264769628696, -3.590118481212391, -3.5485367242340606, -3.528926687346114, -3.5304526000702374, -3.5524081316716694, -3.5942227291628255, -3.65546429006519, -3.7358387070684955, -3.8351866742364615, -3.9534779866264325, -4.090803405467477, -4.247364009064621, -4.423457786236751, -4.619463058856631, -4.835818167798134, -5.07299667709193, -5.331477202190615, -5.6117068241852825, -5.914056945430678, -6.238770401556004, -6.585898674738956, -6.955228281493566, -7.34619580266111, -7.7577917053561185, -8.18845416001459, -8.635955853189806, -9.097288064570217, -9.568549900864776, -10.044852620638665, -10.520252480359112, -10.987728209646642, -11.439220944686728, -11.86575424377116, -12.257648764798423, -12.604839313426504, -12.89729172052515, -13.125502234692265, -13.281047077846688, -13.357134914665702, -13.34910564836213, -13.25481720344873, -13.074870310110905, -12.812639229207479, -12.474100951976846, -12.067481805627505, -11.602762960954882, -11.091101400587668, -10.544227231196128, -9.973873320790428, -9.391280750061572, -8.80680771076053, -8.22965307906284, -7.66769220989008, -7.1274127089968236, -6.61393184175931, -6.131075429409594, -5.681498553544306, -5.266830796880423, -4.887831992265063, -4.5445477390815086, -4.236457261652639, -3.9626087236333913, -3.7217393822017177, -3.512379539116891, -3.3329404036964676, -3.1817867165071783, -3.0572954930766043, -2.9579024431951066, -2.8821377282861134, -2.8286526617640666, -2.796238879877173, -2.783841362463208, -2.7905665100171433, -2.8156863236143876, -2.8586395429217957, -2.9190304812616423, -2.996626007607978, -3.0913511355741634, -3.203283421797437, -3.3326462422443863, -3.4798008883599514, -3.6452372571382616, -3.8295627632482527, -4.033488922855791, -4.257814864166129, -4.503406832848843, -4.771172512656667, -5.062028801573239, -5.376861411205299, -5.716474457953654, -6.0815280646741465, -6.472461936870532, -6.889403056686237, -7.332055969962252, -7.799575182377432, -8.290420263755935, -8.802196810919554, -9.331489337409081, -9.87369604459079, -10.422880665410645, -10.971661601490359, -11.511164304859502, -12.031065089976822, -12.519756751620188, -12.964660257687683, -13.352695381400483, -13.67090498017106, -13.907201564389217, -14.051178139616392, -14.094900914083796, -14.033588167564101, -13.866082802177587, -13.59504702438323, -13.226845708340903, -12.77113073505395, -12.240181407380932, -11.648087619239808, -11.009875220436935, -10.340667773149587, -9.654959073968605, -8.966043051106904, -8.285619616716545, -7.623571278321672, -6.987888875436681, -6.384715804498263, -5.818477810992444, -5.292067500582394, -4.807057377925974, -4.363921204960086, -3.9622490690124987, -3.6009465799430886, -3.27841274419589, -2.9926940272827385, -2.7416143369864354, -2.5228820478868323, -2.3341760236732094, -2.1732130445198203, -2.0377991911190296, -1.9258676895314084, -1.835505567638094, -1.764971262978893, -1.7127050644926327, -1.6773340250178674, -1.6576727391173804, -1.652721144867248, -1.6616603114895798, -1.6838469915171606, -1.7188075482912233, -1.7662317425850287, -1.8259667327633304, -1.8980115288287729, -1.9825120911311476, -2.0797571117576865, -2.190174507575528, -2.314328532327617, -2.452917355169377, -2.606770874352606, -2.776848398492255, -2.964235754812374, -3.170141211568518, -3.3958894067829557, -3.6429122872107116, -3.9127357983194857, -4.206960598019466, -4.527235005454514, -4.875217504923288, -5.252526023145465, -5.660670471889671, -6.10096467898429, -6.574413495522168, -7.0815708939627635, -7.622365383315797, -8.195890518258697, -8.8001609323463, -9.431838784344452, -10.08594210568685, -10.755555573016196, -11.431575439546254, -12.102533409448114, -12.754554017209598, -13.3715090468263, -13.935427915500995, -14.427205806394046, -14.82761546255536, -15.118575564907523, -15.284565686119183, -15.314020652624759, -15.200504645572478, -14.943473071119188, -14.548484007604149, -14.026813245801016, -13.394531613651317, -12.67119283432307, -11.878331769014059, -11.037976800589812, -10.17134388739256, -9.297819557753746, -8.434275450555477, -7.594703138810407, -6.790121323667219, -6.028690480415624, -5.315967499688247, -4.655240531167867, -4.047896297548049, -3.493785531925381, -2.9915640879524426, -2.5389969590596326, -2.1332196189293877, -1.7709558503831424, -1.4486943921034652, -1.1628283488374755, -0.909762083001007, -0.6859904417736596, -0.48815497882375836, -0.3130814018726774, -0.15780198687225822, -0.019566185031416904, 0.10415788555333959, 0.21568877437360032, 0.3171420287876928, 0.41044402838508787, 0.49734814353102963, 0.5794522996794851, 0.6582172472448377, 0.7349850179473321, 0.810997196263202, 0.8874127534709486, 0.9653252857879098, 1.0457795714282172, 1.1297874157906627, 1.2183427932490685, 1.312436319569466, 1.4130691019765798, 1.5212660157459585, 1.6380884474544812, 1.7646465231524897, 1.902110805818077, 2.0517233985710877, 2.2148083212748735, 2.3927809381847, 2.587156096011376, 2.799554476339643, 3.031706465435294, 3.2854525905100513, 3.5627392646014555, 3.8656080079827744, 4.196176271446958, 4.556606714849044, 4.949061654539591, 5.375638315338044, 5.838279776561116, 6.3386557781101125, 6.878006934315129, 7.456946000363051, 8.075210884178677, 8.7313663666953, 9.42245646773747, 10.143617313809429, 10.887671968858026, 11.644745404276957, 12.401955377096915, 13.143256741947338, 13.84953085216044, 14.499015031478091, 15.068148614890601, 15.53286407651496, 15.8702729016812, 16.060597813619356, 16.089107159044595, 15.94774914034627, 15.636191893129569, 15.162062164775623, 14.540323592966692, 13.79190300130045, 12.941808963582568, 12.017053698476666, 11.044677386043563, 10.050100562116077, 9.055928286621088, 8.08123149813286, 7.141256937391282, 6.247475898783337, 5.407868605706871, 4.6273491319788835, 3.908253030558849, 3.2508314416765427, 2.6537150263002225, 2.1143270134688454, 1.629236461510011, 1.1944504800143287, 0.8056490151517909, 0.458368244729101, 0.1481396268905927, -0.12940830471192905, -0.37847872797849935, -0.6030599671087207, -0.8068984203961149, -0.9934866356030941, -1.1660629040559176, -1.3276194071291705, -1.480916508339259, -1.6285012616982881, -1.7727286114984986, -1.9157840656993486, -2.059706935908242, -2.206413379516634, -2.3577186808568036, -2.515358310784, -2.6810073594910384, -2.85629798483813, -3.042834498812153, -3.242205677743463, -3.4559938098850997, -3.685779856206164, -3.9331439489980937, -4.199660274880691, -4.486885129837106, -4.79633667060958, -5.12946459271457, -5.487607664146802, -5.871936787585771, -6.283381042297381, -6.722534108994684, -7.1895390994074555, -7.683949918662575, -8.204569274802536, -8.7492655188853, -9.314773906984103, -9.896493026815048, -10.488292560941261, -11.082356364996297, -11.669091843701075, -12.23714225541312, -12.773541335298006, -13.264045314489971, -13.69366461912404, -14.047394352858284, -14.311110196168354, -14.472559426059467, -14.522342754307232, -14.454762415859733, -14.268414039825725, -13.966427836084375, -13.556315084315147, -13.049438041297067, -12.460178730229867, -11.804922797584618, -11.10098905049324, -10.365624271719785, -9.615153674242471, -8.864339054021976, -8.125959701853494, -7.410601607908913, -6.726621865196, -6.080246318209931, -5.475758116913104, -4.915739480945399, -4.401336264183679, -3.9325228116868267, -3.508351876137385, -3.1271803926783974, -2.786866535782365, -2.484936775485416, -2.218723835735935, -1.9854777953834069, -1.7824532600093208, -1.6069757889797471, -1.456490811067403, -1.328597980746861, -1.2210737542144001, -1.1318845601800325, -1.0591926570759098, -1.0013565272533727, -0.9569271312955765, -0.9246413980144752, -0.9034138842700933, -0.8923273885644534, -0.8906231644035402, -0.8976912179598601, -0.9130610446198439, -0.9363930912780676, -0.967471139377884, -1.0061957352196147, -1.0525787541963734, -1.106739155649856, -1.1688999339218127, -1.239386269793241, -1.3186248541873773, -1.4071443406618356, -1.5055768663299278, -1.6146605607040974, -1.7352429334149142, -1.8682849952929836, -2.014865925025582, -2.1761880225019503, -2.353581604796602, -2.5485093828892897, -2.7625696965719166, -2.997497789533597, -3.2551639877634915, -3.537567341183224, -3.8468229098194264, -4.185140108601284, -4.5547890791968495, -4.958051149994702, -5.397148554346401, -5.874147678119918, -6.390829110983532, -6.948517316832383, -7.547862656816234, -8.18856948751774, -8.869066944702992, -9.586124618761135, -10.334424512581604, -11.106114486176752, -11.890386751631505, -12.673147661816941, -13.436867729347448, -14.16071723063664, -14.82109476872047, -15.392630099333424, -15.849682479468754, -16.168260416133574, -16.328173284542515, -16.315120360074744, -16.122368990697723, -15.751702984082122, -15.213441900529935, -14.52551376213901, -13.71175177113096, -12.799723313646563, -11.818448882563395, -10.796329175140821, -9.759499078748062, -8.730707315028575, -7.7287156918492235, -6.768140606597412, -5.8596256332185055, -5.010230021116581, -4.223932812633515, -3.502175507723328, -2.844390285822683, -2.2484816526504185, -1.7112453362307007, -1.2287193569939636, -0.7964691658835873, -0.40981268037803764, -0.06399283650545029, 0.2456942609960332, 0.5238078715555652, 0.7747008121330498, 1.0024812152266525, 1.21099265225316, 1.4038083048219412, 1.5842356228737562, 1.755328573115865, 1.9199051563909164, 2.080568358843281, 2.239729022971969, 2.399629507871307, 2.5623672008635983, 2.729917134107868, 2.9041530943966127, 3.086866677693062, 3.279783785117902, 3.4845780411367278, 3.702880564700541, 3.936285442585313, 4.186350112738237, 4.454589714194058, 4.742464267523231, 5.05135733083173, 5.382544552866949, 5.737150354041209, 6.11609080826788, 6.520000779986734, 6.94914354568064, 7.403301616009419, 7.88164842063803, 8.382602012800575, 8.903664814790218, 9.441255567954416, 9.99054552237463, 10.545314835328995, 11.097851275323782, 11.638918265781518, 12.15782250549924, 12.64261091197859, 13.080420289951222, 13.457990155468671, 13.762328014053923, 13.98148966617991, 14.105409396988795, 14.126691608626123, 14.04126500215243, 13.848807385658594, 13.552875566736699, 13.160715804011419, 12.682778070193478, 12.1319988979174, 11.522946803474122, 10.870932390880983, 10.1911759006795, 9.49810194756474, 8.804802152463061, 8.122678132056985, 7.461254523593567, 6.828136969677426, 6.229082506235114, 5.668148792083383, 5.14789167492743, 4.669585880918379, 4.23344965658114, 3.838859894247449, 3.4845492110015677, 3.1687803001299484, 2.88949576345467, 2.644443583038562, 2.4312796817541904, 2.247649752295017, 2.091252857753002, 1.9598894240009135, 1.8514961423809018, 1.764170127576156, 1.6961844308705125, 1.6459967609860089, 1.6122530068756447, 1.5937869105553124, 1.5896170118929538, 1.5989417885264803, 1.6211337348955253, 1.655732975429162, 1.702440820086737, 1.7611136836677623, 1.8317575384332145, 1.9145230566368898, 2.009701540868689, 2.1177216279308726, 2.239146681448666, 2.374672756524183, 2.5251268844764474, 2.691465361717089, 2.87477162353621, 3.0762531162363564, 3.2972364339066917, 3.5391597632476426, 3.803561420314456, 4.092062944772292, 4.40634482325612, 4.748112529522249, 5.119049917691449, 5.520756684986999, 5.954665940285473, 6.421937617437028, 6.923323280632465, 7.4589982218149, 8.028357824933167, 8.629777701393921, 9.260340466631389, 9.915538946424467, 10.588973550560613, 11.272073083499246, 11.95388083806194, 12.620961080152357, 13.257488741740932, 13.845587686916472, 14.365968205495385, 14.798882932991743, 15.125369633158723, 15.328685369451343, 15.395772301754379, 15.318552646173773, 15.094845554452455, 14.728742254095723, 14.230364203426983, 13.615037921379315, 12.902020914805158, 12.112978488458879, 11.270427375315258, 10.396332625581405, 9.51098511266588, 8.632218616014182, 7.774965414008941, 6.951106931166275, 6.169553971432394, 5.436485650425156, 4.755682608105433, 4.128902257954309, 3.5562576054974873, 3.036574315295276, 2.56771102739324, 2.1468360600004504, 1.770659029729287, 1.4356192990723324, 1.1380352171299852, 0.8742189848686934, 0.6405621968340305, 0.43359692410793715, 0.2500368147800691, 0.08680215011126786, -0.05896773034070435, -0.18991176369767637, -0.3084518577941491, -0.4168029876772106, -0.5169871094841402, -0.6108496377451706, -0.7000775044362489, -0.7862180490780446, -0.8706981829834038, -0.9548434248894749, -1.0398965266556903, -1.1270355119149569, -1.2173910211070533, -1.3120629165385014, -1.4121361374683672, -1.5186958118266312, -1.6328416519455518, -1.7557016465283264, -1.888445041922998, -2.0322945762253735, -2.1885378717554596, -2.3585378172864098, -2.543741677579514, -2.745688536560343, -2.9660145101616653, -3.206454983505885, -3.4688426578483997, -3.7551003390685955, -4.067226304170741, -4.40727012300722, -4.777295938861087, -5.179329601040257, -5.615285308310529, -6.086866715596113, -6.595436941331976, -7.141851369686593, -7.726248569793948, -8.34779480596497, -9.004382235799852, -9.69228594225342, -10.405794058179081, -11.136838017527236, -11.874665097241653, -12.60561416223041, -13.31307135937276, -13.97769185003382, -14.577968138969139, -15.091197746913297, -15.494846899992144, -15.768227886251845, -15.894317606017324, -15.861469877738559, -15.664743496521373, -15.306602823705107, -14.7968488918094, -14.151782553356725, -13.392745424384662, -12.544287163587548, -11.632243771521381, -10.68198116365421, -9.716981482846151, -8.757857559943405, -7.821797400850346, -6.9223825081622214, -6.069693967862816, -5.270613273604865, -4.529235076363998, -3.847325345956368, -3.224777782901506, -2.660038192828158, -2.150480116069634, -1.6927249396638204, -1.2829061020478771, -0.9168810293591406, -0.5903964442205143, -0.2992134770619991, -0.03919900404582509, 0.1936107596139024, 0.4029690496724757, 0.59239506509323, 0.7651642579288287, 0.9243091232872211, 1.0726277831012192, 1.2126981806569563, 1.346896139208985, 1.4774159022429043, 1.606292078950435, 1.7354221535031977, 1.8665889423440751, 2.001482490901041, 2.1417210511376545, 2.2888708402480216, 2.4444643188059048, 2.610016748931223, 2.787040757812476, 2.977058589409234, 3.1816116378585946, 3.402266726267669, 3.640618433560325, 3.8982865751880023, 4.176907685751722, 4.47811905354632, 4.8035335191415784, 5.15470287772271, 5.533067348433084, 5.93988828627506, 6.3761606503223724, 6.842502888615988, 7.339020510884318, 7.865142083369075, 8.419427394138426, 8.999350694804058, 9.60106672315166, 10.219172718889137, 10.846488467581482, 11.473884585833172, 12.090199119965346, 12.682288245312872, 13.23525930334221, 13.732925696373472, 14.158504075795424, 14.49554040529774, 14.729008733097874, 14.846479342914527, 14.839216067218874, 14.70304746538702, 14.43887348159682, 14.052718815360548, 13.55531694676293, 12.961285561221887, 12.288016998737355, 11.55443986935045, 10.779806828814525, 9.982633896320424, 9.179871576194424, 8.386339864011141, 7.614418867865463, 6.873959415103824, 6.17236409421433, 5.514786561422413, 4.904401737383447, 4.342708284549344, 3.8298346440887547, 3.364829157773901, 2.94592248070398, 2.5707564406049825, 2.236577623655024, 1.9403967220685607, 1.679116323763724, 1.4496306810986437, 1.2489012770122143, 1.0740119817812794, 0.9222073475537048, 0.7909172457388677, 0.6777706422243119, 0.5806009343794504, 0.4974448778373563, 0.4265367949836784, 0.36629944746248855, 0.3153326836833127, 0.2724007630872254, 0.2364190028845747, 0.20644032365101062, 0.18164204969708786, 0.16131325230707894, 0.14484283203603318, 0.13170845566148728, 0.1214664173628406, 0.11374245134336813, 0.10822348860961248, 0.10465033208384406, 0.10281120957589504, 0.10253615088743531, 0.10369213480261637, 0.10617894708520469, 0.10992569150554149, 0.11488790031280414, 0.12104519090798567, 0.12839942469432325, 0.13697332430746137, 0.1468095161341689, 0.1579699669139901, 0.17053578809388908, 0.18460739171780485, 0.20030498651490022, 0.21776940161982783, 0.23716323875890927, 0.2586723559910804, 0.2825076919177301, 0.30890743985257546, 0.3381395936984008, 0.37050488897081385, 0.40634016661929007, 0.44602219125581516, 0.48997196416324384, 0.5386595764230762, 0.5926096444948856, 0.6524073835541467, 0.7187053719447206, 0.7922310624970652, 0.8737950952657121, 0.9643004643048287, 1.0647525790909034, 1.1762702476840565, 1.30009758367935, 1.437616796156641, 1.5903617599758983, 1.7600321907716128, 1.9485081133762576, 2.1578641453842193, 2.3903827896969894, 2.648565809019715, 2.935142031985859, 3.2530694337421227, 3.605528510253798, 3.9959028174520905, 4.427741121485099, 4.904693854360293, 5.430414059351742, 6.0084114520539895, 6.641844073009578, 7.333231001198504, 8.084067437990612, 8.894324874694421, 9.761824364811469, 10.681483845915158, 11.644463820128271, 12.637273250548704, 13.640949862655596, 14.630492327822296, 15.574782179476259, 16.43726655279417, 17.177640500134824, 17.754636904259893, 18.129788991885757, 18.27171572516505, 18.160192062341782, 17.789142295664202, 17.16783356335268, 16.319948318253807, 15.280741360941382, 14.092937448761097, 12.80223898254861, 11.453246539655215, 10.086330582024786, 8.735665275976144, 7.428361117494832, 6.184468261842578, 5.01756611255656, 3.9356753307374666, 2.942286958320427, 2.037370453345911, 1.2182812515606203, 0.4805318747250207, -0.18158067678471293, -0.7744820094877753, -1.304944861510267, -1.7798114804235783, -2.2057948872703403, -2.5893421148943334, -2.9365450936708153, -3.253087505181068, -3.544218057574443, -3.814742912041733, -4.069031395641852, -4.3110303580916405, -4.544283801337757, -4.771954984523977, -4.996848925882454, -5.221433663341987, -5.447859018518361, -5.677971903907245, -5.91332744551569, -6.155195404630356, -6.404561555025057, -6.662123881975987, -6.9282836603933395, -7.203131703239456, -7.486430385026796, -7.7775923799523214, -8.075657469892024, -8.379269264821689, -8.686654206246574, -8.995605773340364, -9.303477323922689, -9.60718740121317, -9.903241523614781, -10.18777433123096, -10.456615370861694, -10.705380664117957, -10.929590516391695, -11.124811479909274, -11.28681817120467, -11.411767253417208, -11.496373718806716, -11.538077308331554, -11.535186312172877, -11.486986622427281, -11.393805889919816, -11.25702626441426, -11.07904371635872, -10.863176743433847, -10.61353173617135, -10.334835892384241, -10.032250694195735, -9.711179371205771, -9.37708108344342, -9.03530231241763, -8.690933267983981, -8.348693663936617, -8.012849968433716, -7.687163115699709, -7.374864084351911, -7.078653398062275, -6.800720070601057, -6.5427752599610995, -6.306096198628293, -6.091576421053044, -5.89977892491439, -5.7309895672476125, -5.585268608832101, -5.462498904160246, -5.36242974123207, -5.284715718420626, -5.228950378901084, -5.194694508306738, -5.181499279780352, -5.188924343562787, -5.2165511763222305, -5.263991944722832, -5.330894118454267, -5.41694103501372, -5.521848588172947, -5.645358106549329, -5.787225480436759, -5.947206492881847, -6.125038287104599, -6.320416871044788, -6.532970605897837, -6.762229600669823, -7.007591097071593, -7.268281094113004, -7.543312610640621, -7.831441684864871, -8.131121960889441, -8.440460151883391, -8.757174626132752, -9.078560429565236, -9.401464612841282, -9.722276421439421, -10.03693729274615, -10.340975512228374, -10.629570002160193, -10.89764621822825, -11.14000540804414, -11.35148556076099, -11.527148628676509, -11.662485440745934, -11.753625655074014, -11.797537797312456, -11.792202947898426, -11.736746492530584, -11.631514814795723, -11.478088643729128, -11.279230464785703, -11.038769967734845, -10.761437162438602, -10.452657334048, -10.118324584250278, -9.764571037358358, -9.397547311816265, -9.023226853761624, -8.647242907837391, -8.274762927888554, -7.910401499564175, -7.558169885426307, -7.221458154048757, -6.903044542209241, -6.605126154452987, -6.329365238832723, -6.076945631904716, -5.848634764912752, -5.644847523775625, -5.465708957235486, -5.311113707877225, -5.180780696734872, -5.074302164445621, -4.99118660206125, -4.930895444145159, -4.89287366678338, -4.876574539369572, -4.881478859771179, -4.907109107764477, -4.953038857263591, -5.0188978005512075, -5.1043726618288465, -5.209204179171701, -5.33318029075807, -5.4761255358657746, -5.637886615765039, -5.818313981828683, -6.017239249706209, -6.234448221964805, -6.469649288694597, -6.722437036537635, -6.992251037255991, -7.278329983885057, -7.57966165912475, -7.894929689111193, -8.222458620393626, -8.560159595321648, -8.905479812726709, -9.2553598168724, -9.606203719542384, -9.953868246265992, -10.29367701946984, -10.620466520807367, -10.928669189736063, -11.21243741003961, -11.46580974844816, -11.682915620340632, -11.858211386523996, -11.986734290485028, -12.064357514621218, -12.088025460122827, -12.055948347297143, -11.967736595237527, -11.824460427523114, -11.628627091856906, -11.384076665125669, -11.095805488689315, -10.769733356322403, -10.412435158788234, -10.030859262472237, -9.632053800670889, -9.222918559301897, -8.809995310742849, -8.399304085681212, -7.996227698578048, -7.6054428292345495, -7.230892722848705, -6.875794803280181, -6.542675635275809, -6.233425738444663, -5.949367382368568, -5.691329395419966, -5.459724213622019, -5.254623507987599, -5.075829604662204, -4.922941102332553, -4.795411546840873, -4.692600641279993, -4.613818030866402, -4.558359837730066, -4.525538376572185, -4.514705609599259, -4.5252708278524025, -4.556713160108144, -4.608589403696982, -4.680537570087184, -4.772276472324493, -4.883601603783491, -5.014377354800853, -5.164525610712102, -5.3340105743566255, -5.522819585406794, -5.730939622699627, -5.958329082931914, -6.204884414979956, -6.47040119217076, -6.754529291348266, -7.056722035416582, -7.376179414011343, -7.711786042115959, -8.06204505886192, -8.425010066346442, -8.798218248155795, -9.178629047416901, -9.562574126357552, -9.945725646401064, -10.323090997339126, -10.689042666098528, -11.03739163744126, -11.361510880165431, -11.65451323398488, -11.909482144647486, -12.11974889571296, -12.27920194370845, -12.382608201483, -12.425919979932234, -12.406539504981144, -12.323513499464855, -12.177636002833728, -11.971446303987452, -11.709120436110183, -11.396266174921164, -11.039641662986565, -10.646824692831983, -10.225862345436939, -9.784929475900297, -9.332019852923548, -8.874686921951742, -8.41984394209574, -7.973626068595409, -7.541311588128501, -7.127295289603144, -6.735104754499744, -6.367449482803654, -6.026293078855242, -5.712939731865408, -5.428127611223245, -5.172123392715465, -4.944813598249001, -4.745789778884405, -4.574425686426639, -4.429945454756275, -4.311482495654692, -4.2181292885559944, -4.148978562947848, -4.103156553889998, -4.079849117179993, -4.078321500302299, -4.097932530652184, -4.138143914222451, -4.198525231497325, -4.278755103649965, -4.378618873405734, -4.498003007409928, -4.636886285033965, -4.79532770601605, -4.973450889998704, -5.171424623446518, -5.389439067303852, -5.627677030903819, -5.8862796289389925, -6.165305593637533, -6.464683538534995, -6.784156582383003, -7.123218980409117, -7.481044837245644, -7.8564096161536865, -8.24760606795719, -8.652357445304691, -9.067732400656888, -9.49006774082648, -9.914907221739357, -10.336966466548525, -10.750135823338667, -11.147532571873047, -11.521614734314833, -11.86436436594076, -12.167543738896219, -12.423020165011788, -12.623145536699418, -12.761166790096505, -12.831634346927165, -12.830769553390573, -12.756752696481042, -12.609896413434223, -12.392682741398756, -12.109656721236236, -11.767186639711369, -11.373116490796356, -10.93634715391031, -10.466387469195801, -9.972915035308985, -9.465380004584754, -8.95267544849626, -8.442887105654147, -7.943125547142381, -7.459435713836486, -6.99677358420193, -6.5590367929358635, -6.14913530166568, -5.7690889609219465, -5.42014051574908, -5.102874747001244, -4.817336648694028, -4.563143607380275, -4.33958831756998, -4.145730512743206, -3.980476862153341, -3.8426489307976412, -3.7310398174292536, -3.6444603485978675, -3.5817758993727526, -3.5419349822172794, -3.5239907161435586, -3.5271162323848744, -3.550614983166957, -3.593926750250018, -3.6566300434432026, -3.738441414156617, -3.8392120557203246, -3.9589219192288208, -4.0976713996976395, -4.255670503176822, -4.433225237195262, -4.630720800558871, -4.848600990183267, -5.087343071754748, -5.347427204017542, -5.629299368244514, -5.933326651953519, -6.259743683231782, -6.608589094052024, -6.979631071807615, -7.372281508131171, -7.785498957132753, -8.217681726697997, -8.666553974507611, -9.129049759314382, -9.601202570357529, -10.078050826079899, -10.553572893308298, -11.020668035947976, -11.471201060036657, -11.896128323554223, -12.285719331899262, -12.62988152851767, -12.918583983806075, -13.142362631112213, -13.292872732472533, -13.363440947520848, -13.349559285813294, -13.249263519491436, -13.06334584725785, -12.795371908266013, -12.451496147795401, -12.04009628039138, -11.571269909649185, -11.056250557378954, -10.506804202799694, -9.934661744147204, -9.351029981480863, -8.766207635608504, -8.189316525052917, -7.6281447742881845, -7.089088937100703, -6.577176567315593, -6.096148997897399, -5.648584677162658, -5.236045872048651, -4.859235053237278, -4.518150426665752, -4.212233223423416, -3.9405022753435572, -3.701673219074551, -3.4942614152965357, -3.3166687949880815, -3.1672555298280165, -3.0443979025228383, -2.9465339437997518, -2.8721985037022795, -2.820049379370046, -2.7888860042793033, -2.777662074891032, -2.7854933070623487, -2.811661367681495, -2.8556148250444786, -2.9169678098525043, -2.995496918762193, -3.091136717015156, -3.2039740670586383, -3.3342413568189375, -3.4823085477652795, -3.6486738169587505, -3.83395240272036, -4.0388630953515285, -4.2642116249749815, -4.510869993435758, -4.779750580847778, -5.071773622780292, -5.387826425923874, -5.728712480948706, -6.095088478303332, -6.487387194617447, -6.905724360219734, -7.349788058095313, -7.818710072326771, -8.310920043805906, -8.823985541975786, -9.354444402109243, -9.897639235151525, -10.44756984510621, -10.996783959174511, -11.536332092799572, -12.055815917514542, -12.543559514043338, -12.986928065582251, -13.372806213489142, -13.688229882175154, -13.921139048576743, -14.061192048669966, -14.100557921591312, -14.034590528270122, -13.862291785578867, -13.586493951573537, -13.21372913157985, -12.75380022995055, -12.219110371217448, -11.623838971984393, -10.983064096579968, -10.311925486802814, -9.624901383025302, -8.935244762799112, -8.254596406641756, -7.592768508434117, -6.95767664879703, -6.35538906264508, -5.79026015615589, -5.265117478107182, -4.781476231053309, -4.339761214831234, -3.9395218647882717, -3.579631011484565, -3.258462034535322, -2.974042085798516, -2.7241811809858625, -2.5065783480878268, -2.318906826839713, -2.1588807528469856, -2.024305880994952, -1.9131168618382028, -1.8234034176972758, -1.7534275464229845, -1.7016336367295561, -1.6666531180069866, -1.647305027790984, -1.6425936561255428, -1.6517042215735567, -1.6739973252228668, -1.7090028292835464, -1.7564136086209405, -1.8160795319731418, -1.8880019298675181, -1.9723286965700737, -2.0693501056588746, -2.179495333045242, -2.30332964675394, -2.441552015588279, -2.594993014638538, -2.7646126129242488, -2.951497399150544, -3.1568566239123306, -3.3820163230626004, -3.628410483722885, -3.897567970138171, -4.191093591818835, -4.510641395458669, -4.857877690313355, -5.234430886698454, -5.6418245113979095, -6.08139002411638, -6.554154642868625, -7.060700235135598, -7.600989479325183, -8.174156934047792, -8.778265452666476, -9.410032251279851, -10.06453626189476, -10.734926674183683, -11.412164355276694, -12.0848400146891, -12.739125102584559, -13.358917530193315, -13.92624299117608, -14.42195487580183, -14.826740212158509, -15.12238662887749, -15.293201967430317, -15.327419940324221, -15.218391488575232, -14.96536711145322, -14.573728979575948, -14.054622836687134, -13.4240456295612, -12.701535731410543, -11.908666128974685, -11.067546182306232, -10.199502193602921, -9.324046523939135, -8.458179919920987, -7.616016690519751, -6.8086854333000435, -6.044440030897547, -5.32891300663174, -4.665450761198962, -4.055482332540489, -3.498886879483212, -2.994337030535499, -2.539605151556724, -2.1318267209464805, -1.7677199324506625, -1.4437638466655704, -1.156339032800125, -0.9018354408786775, -0.6767323888320265, -0.47765535921977603, -0.30141386686563043, -0.14502416119438152, -0.0057200276363768565, 0.11904561565833145, 0.2316060069330288, 0.33409087634717327, 0.428440323348993, 0.5164210461831301, 0.5996439986781295, 0.6795827674172928, 0.757592138998325, 0.8349265067398609, 0.9127578214268857, 0.9921929615030812, 1.0742904177805845, 1.160076258804992, 1.2505593935869528, 1.3467461516599506, 1.449654229638341, 1.5603260484732873, 1.6798415529776816, 1.8093304631995046, 1.9499839526228653, 2.1030656723541483, 2.2699219685924534, 2.4519910456907565, 2.6508106991009255, 2.8680240774850305, 3.1053827211568987, 3.364745851922467, 3.6480745500111604, 3.95741904810781, 4.294896652937772, 4.662657734804506, 5.062835694412263, 5.497476712752977, 5.968443951800118, 6.477290272225959, 7.0250931399168675, 7.6122454959896775, 8.23819802137852, 8.901150759300677, 9.597697916757928, 10.322438205156441, 11.067575905360057, 11.82255446416259, 12.573783886971512, 13.304541582041614, 13.995139928282532, 14.623451313285758, 15.16585649950879, 15.598627355850256, 15.899670533944612, 16.050461335130542, 16.037908224864886, 15.855845964324427, 15.505882308694506, 14.997425915035086, 14.34687764911197, 13.576128672227291, 12.710628152612642, 11.777330664940315, 10.802804168440948, 9.811699121223848, 8.825676398494055, 7.86279975887702, 6.93733323657506, 6.059849916841987, 5.237551219928958, 4.474706064394579, 3.7731381054073156, 3.1327100359022144, 2.5517726065846653, 2.0275608078589196, 1.5565302785474555, 1.1346339716614964, 0.7575432343705268, 0.4208195471531065, 0.12004390971970537, -0.1490891576785473, -0.39070658945500775, -0.6087150195041007, -0.806777374743967, -0.9883036736294738, -1.1564525892170245, -1.3141409620622704, -1.4640589838533289, -1.6086892448593386, -1.7503281892677243, -1.8911088523597486, -2.0330240156048527, -2.1779490903687866, -2.327664175856462, -2.4838748750671256, -2.6482315061153296, -2.8223463414014174, -3.0078085376772643, -3.2061963419429147, -3.419086108835031, -3.6480574923026357, -3.894694074578178, -4.1605784515441515, -4.447280570363688, -4.75633783324046, -5.089225178064829, -5.447313033334688, -5.831810770650835, -6.243693023448619, -6.683606203143185, -7.151753030632865, -7.647753093697144, -8.170479275648528, -8.71787198563081, -9.286736515972493, -9.872533990684827, -10.469181968734253, -11.0688886856436, -11.66205232036981, -12.237262672467764, -12.781446058972453, -13.280190263332326, -13.718274088158822, -14.080402701132167, -14.35211686116594, -14.520805937921464, -14.576718765555828, -14.513844237950059, -14.330534235098249, -14.029769197161148, -13.619018066030304, -13.109708608306875, -12.516384109676121, -11.855665503266632, -11.145153866672548, -10.402397430723791, -9.644017276111084, -8.885046197833525, -8.138496778831975, -7.415143951246183, -6.723487939196789, -6.0698542434098615, -5.458586945105054, -4.892296446023504, -4.372130332813079, -3.89804424899434, -3.469057182574585, -3.0834818004802096, -2.7391252164196285, -2.4334589524896066, -2.163759091057454, -1.9272189530966077, -1.7210373357628812, -1.5424856184913058, -1.3889570086355991, -1.2580010069026053, -1.1473458806344874, -1.0549116093005824, -0.9788154240014957, -0.9173717446712762, -0.869088020196946, -0.8326577192424018, -0.8069514456760775, -0.7910070226263652, -0.7840191512071958, -0.7853291357305903, -0.7944150513311545, -0.8108826183751254, -0.8344569847412054, -0.864975543773097, -0.9023818824109965, -0.9467208967789238, -0.9981351047527627, -1.0568621547799129, -1.1232335115436622, -1.1976742961637108, -1.2807042371173456, -1.3729396844888968, -1.4750966215496106, -1.5879945907498234, -1.7125614255193062, -1.8498386404951677, -2.0009872858438738, -2.1672939937761875, -2.3501768539324046, -2.551190631161479, -2.7720306217177577, -3.0145342529122283, -3.280679278291427, -3.572576852157555, -3.8924574649406565, -4.242646988631394, -4.625529345641885, -5.043491439545184, -5.498844973193885, -5.993718805911048, -6.529914092062585, -7.108715057231188, -7.730646584214116, -8.395172811212452, -9.100333643003827, -9.842323144737982, -10.615025018543319, -11.409536276948069, -12.213732206325835, -13.011950805610098, -13.784899107077763, -14.509899365032517, -15.161587459089825, -15.71313850305898, -16.138016228457182, -16.412128406353663, -16.516142596028864, -16.437614071831053, -16.172545490455782, -15.72606485290639, -15.112069924801682, -14.351897201876211, -13.472267581528378, -12.502877786709956, -11.474020746366426, -10.414543159157542, -9.350323934518187, -8.303328522333324, -7.29119314407295, -6.327233239905991, -5.420749655673284, -4.577512935595013, -3.8003282083215257, -3.0896100019604, -2.4439213873147208, -1.8604522240812065, -1.3354259250579812, -0.8644338616242732, -0.44270215131036533, -0.06529852541758069, 0.2727120344005486, 0.576154268990517, 0.8496642746570358, 1.097638795509807, 1.3242061909533118, 1.5332140507570333, 1.728229323776148, 1.9125476400508044, 2.0892090055555537, 2.2610178078124585, 2.430565326741477, 2.6002533913076875, 2.7723180681972646, 2.9488525420991945, 3.1318283176376753, 3.323114248305278, 3.5244926790093887, 3.7376721377660242, 3.964295934003602, 4.205945925683864, 4.464140625732092, 4.74032665775091, 5.035862410525267, 5.35199256777831, 5.689812028579823, 6.0502176235271845, 6.433846014376339, 6.840996310565255, 7.271536334199417, 7.72479222358809, 8.199422314257028, 8.693278276759948, 9.20325879431654, 9.725165011175799, 10.253570657291846, 10.781724720987407, 11.301508651391323, 11.803473187256182, 12.276980542830223, 12.710473073744712, 13.091881572266788, 13.409169653767268, 13.650990516551209, 13.807408644639944, 13.870618496076885, 13.835578018548045, 13.700475713721698, 13.46696397545904, 13.140122086461966, 12.728149375357102, 12.24182727317786, 11.693819241419249, 11.097893105462465, 10.46815043685041, 9.818333775523936, 9.161261084112994, 8.508412044080918, 7.869668961233504, 7.253198366760525, 6.6654493755057445, 6.111240448750435, 5.5939065808303265, 5.115482175787512, 4.676899342085964, 4.278186550781981, 3.918657177579019, 3.5970812524721865, 3.311836978647753, 3.0610407598483014, 2.8426560737337456, 2.6545825239688843, 2.4947269800729055, 2.361059001318179, 2.2516527903345054, 2.1647178537235696, 2.09862038365374, 2.0518971821328433, 2.0232637239659748, 2.0116177312204138, 2.0160394189900965, 2.035789395894806, 2.070304961712756, 2.119195458935853, 2.1822371424794595, 2.25936790829777, 2.3506821017123505, 2.4564255383178413, 2.576990734736335, 2.7129122614495427, 2.8648620104369313, 3.0336441055537064, 3.220188887797366, 3.425545513152152, 3.650872285732827, 3.897423737293774, 4.1665331591118235, 4.459589098376271, 4.7780038616896015, 5.123171743081763, 5.49641429252318, 5.898909698516861, 6.331602804100203, 6.795092784113338, 7.28949489124385, 7.814274619995744, 8.368053321301792, 8.948388401536869, 9.551533988619916, 10.17219601904833, 10.803302142566894, 11.435816919502686, 12.058641924667912, 12.658647763960435, 13.220887393778346, 13.729033189638034, 14.166061741054428, 14.515177122941397, 14.760919618134842, 14.890358373725421, 14.894226690382695, 14.767840112247576, 14.511652258730903, 14.13135078031232, 13.637470224371018, 13.04457831559387, 12.370158700182738, 11.633349525145077, 10.853698432928983, 10.050065873290961, 9.239762354014173, 8.43795549379505, 7.657340480814917, 6.908038354099812, 6.19767153906248, 5.531562921194586, 4.913009413784406, 4.3435899456259, 3.8234779179538303, 3.3517379001500998, 2.9265941971954486, 2.545665177031886, 2.2061614947814396, 1.9050492458821, 1.6391807945411132, 1.405396884650076, 1.200603945869004, 1.0218305007336406, 0.8662662987838322, 0.7312874618604102, 0.6144705090207273, 0.5135977348168081, 0.42665601402613496, 0.35183076685083914, 0.2874964910150677, 0.23220499625853688, 0.18467224378554953, 0.14376448826793964, 0.10848425429077052, 0.07795654334208726, 0.05141555024637419, 0.028192078111359067, 0.007701779340991104, -0.01056572873604937, -0.027056842076908783, -0.04216305949173017, -0.05622921913026866, -0.06956093345112141, -0.08243128238867696, -0.09508683990703969, -0.1077531006131348, -0.12063938126464478, -0.13394327249079696, -0.14785470511382964, -0.1625597048334186, -0.17824389629821125, -0.1950958192431981, -0.21331011688674378, -0.23309065094543477, -0.2546536001436347, -0.2782305904704718, -0.3040719134793475, -0.33244988231008843, -0.36366237369888915, -0.39803660914025196, -0.43593322687074326, -0.47775070197125635, -0.5239301582937593, -0.5749606466678541, -0.6313849333378658, -0.6938058634064606, -0.7628933689137087, -0.8393921618684564, -0.9241301842293351, -1.0180278628621737, -1.1221082064444452, -1.2375077504687253, -1.3654883606014365, -1.5074498214018348, -1.664943073436299, -1.8396839313068525, -2.033566864208328, -2.2486783460707427, -2.4873089109926316, -2.7519628090553274, -3.045363570071245, -3.3704531362422485, -3.730381403564041, -4.128481837142542, -4.568227327271039, -5.053158712739913, -5.586776319567954, -6.1723822933527055, -6.812859133473231, -7.510367791120337, -8.265948373916189, -9.079007963528637, -9.946687455387346, -10.863113747695138, -11.818568946203222, -12.798647185953989, -13.783521692121466, -14.747504738262295, -15.659134653435457, -16.482042900543284, -17.176804175337864, -17.70382519179615, -18.027081510280958, -18.118214436071163, -17.960256339824873, -17.550181484771734, -16.899663999149972, -16.033832361626725, -14.988300588408839, -13.805143965914317, -12.528640245136382, -11.201497854978212, -9.862030146100288, -8.542431872995733, -7.26807165352945, -6.057575139105124, -4.923431887165967, -3.87288367856584, -2.908908366786964, -2.0311753470834066, -1.236902087161166, -0.521580603876896, 0.12043176595470113, 0.6954480728172997, 1.210097818897488, 1.671065058290999, 2.0849008203766743, 2.4578940517202197, 2.7959877323774394, 3.1047290349334618, 3.3892447893630564, 3.6542351359528666, 3.903979886915668, 4.142353177020028, 4.372843131212477, 4.598573901801235, 4.822327900356118, 5.046566766576212, 5.273449731152, 5.504848406069826, 5.742357241449425, 5.9872990503553, 6.240725159939345, 6.503409976692929, 6.77583988105441, 7.058196615841505, 7.350335619292273, 7.651760103895813, 7.961592126628467, 8.278542422906321, 8.600881388179886, 8.92641425520321, 9.252464183305854, 9.575867568311848, 9.8929862859061, 10.19974165837389, 10.491674530317674, 10.764034806303053, 11.011902081104825, 11.230336347824704, 11.414554837623665, 11.560127420969316, 11.663179752566192, 11.72059031867719, 11.73016618541468, 11.690782335813045, 11.602471501010182, 11.466455159950193, 11.285111790219643, 11.061884419414135, 10.801134992395239, 10.507957915958839, 10.18796811120948, 9.847079762383997, 9.491291256146512, 9.126489172076326, 8.758280942077167, 8.39186197801397, 8.031919444221442, 7.682571824153718, 7.347341091424573, 7.029152760969096, 6.7303584298292165, 6.4527751807169516, 6.1977365584738795, 5.966150540559082, 5.758560526320429, 5.575206260210815, 5.4160823753915945, 5.280992877290665, 5.169600531727681, 5.081470439020148, 5.016107763701816, 4.9729894355152755, 4.951590051649673, 4.951402360122519, 4.971952581928435, 5.012810977753443, 5.073597961964163, 5.153986043688452, 5.25369780219884, 5.372500023573721, 5.510194051516869, 5.666602321469243, 5.841550957674404, 6.034848299435722, 6.246259145197693, 6.4754745320393905, 6.722076914875689, 6.985500727801956, 7.264988512310841, 7.5595430842769495, 7.867876645743844, 8.1883582927755, 8.518962070069765, 8.857218552631275, 9.200173734375388, 9.544360009453953, 9.885784757349834, 10.219942553610121, 10.541857062152948, 10.84615781953321, 11.127195579229928, 11.379197706899014, 11.596460415608108, 11.773571617168502, 11.905652086849067, 11.988599623133, 12.019316753882189, 11.995902296231492, 11.917788097374856, 11.78580641257269, 11.602179823386058, 11.370433363960315, 11.09523623429265, 10.782187290707258, 10.437563278615709, 10.068050685533622, 9.680481513425413, 9.28159039271769, 8.877806079332569, 8.475085459269113, 8.07879323894827, 7.693626423064387, 7.32357957837847, 6.971944863398741, 6.641339772670052, 6.333755488567723, 6.05061915312245, 5.792864191544897, 5.561003870725813, 5.355204349884276, 5.17535437442586, 5.02112976597289, 4.892051582552041, 4.787537188256042, 4.706944211473373, 4.649607463160792, 4.614869170813616, 4.602102994119513, 4.610732335234342, 4.640243413630776, 4.690193643843215, 4.760215668118908, 4.850017366947661, 4.959378092942049, 5.088141189838761, 5.236202840263938, 5.403497113357737, 5.589977007603142, 5.795591204600116, 6.020256175332824, 6.263823262172879, 6.526040383021475, 6.806508095017725, 7.104629948449617, 7.419557345433854, 7.750129609953537, 8.094810573498169, 8.451623806520033, 8.818089635791953, 9.191168257474695, 9.567214509411828, 9.941951065203197, 10.310467727032893, 10.667254950179435, 11.00627929747927, 11.321106747915552, 11.605077211117845, 11.85152848123401, 12.054062848619177, 12.206842416253256, 12.304893779681706, 12.344397263112423, 12.322934336742698, 12.239667943214133, 12.095435527131157, 11.892743061862978, 11.635659057930207, 11.329618080659248, 10.981152732720755, 10.597579451272946, 10.186665828714792, 9.75630607341599, 9.314226931724956, 8.867740089654252, 8.423550317732904, 7.987622095754047, 7.5651021225504245, 7.160291532985204, 6.776659131010199, 6.416886297404092, 6.082934345218607, 5.776126029515326, 5.497234159845657, 5.246571754454216, 5.024079537820955, 4.829407865607127, 4.661991207514559, 4.521114188147881, 4.405968814291583, 4.315703000050976, 4.24946081882992, 4.206415096350748, 4.185793049815771, 4.186895725281983, 4.209111928996898, 4.251927303858752, 4.314929095741589, 4.397807045777729, 4.500350722498491, 4.622443474809373, 4.764053050933874, 4.92521879220933, 5.106035186049264, 5.306631404075129, 5.527146374227361, 5.767698811702071, 6.028351574989946, 6.309069699134936, 6.609671512647462, 6.929772414405361, 7.268721170431634, 7.625529075714657, 7.9987930356788794, 8.38661458865853, 8.786518139691973, 9.195373269651784, 9.609327564612565, 10.023758492338633, 10.433254181821201, 10.831634035410431, 11.212020510388804, 11.566971632468649, 11.888680131182923, 12.169240141037706, 12.400973968185827, 12.576802957518925, 12.69063698952047, 12.737749998327281, 12.715104933699859, 12.621592886235486, 12.458157773947066, 12.227790037154401, 11.935387609544259, 11.587498156097714, 11.191969439027142, 10.757543326586974, 10.293431771440547, 9.808910383213176, 9.312958363733472, 8.813964263823795, 8.319507322650031, 7.836215247694525, 7.369692776020186, 6.924510660159722, 6.504242746063511, 6.111538156384147, 5.7482167679447524, 5.41537756343677, 5.113511595708561, 4.8426132558839035, 4.602285381820641, 4.391835368919626, 4.2103606848076005, 4.056823139701799, 3.9301120473119924, 3.829096755099145, 3.7526694227819624, 3.6997790445663554, 3.6694577598270133, 3.660840487186407, 3.6731788433708012, 3.7058501885747086, 3.7583625506901455, 3.830356014878383, 3.9216010050471035, 4.0319937820280645, 4.1615492725691, 4.310391233114717, 4.478739572684501, 4.6668945007960945, 4.875217016711979, 5.104105087138104, 5.3539647176667975, 5.6251749912077065, 5.918046044577335, 6.232768919099425, 6.569356263038045, 6.927573034761885, 7.306856781353916, 7.706227624894315, 8.12418901628149, 8.558622180132955, 9.006677790649473, 9.464672295424208, 9.927997649394113, 10.391056642661637, 10.847238281608362, 11.288949477139703, 11.707719092156593, 12.094388166274097, 12.43939393809814, 12.733146940939688, 12.966486921983975, 13.131190347508248, 13.220488092456309, 13.229542768886468, 13.15583220928574, 12.999391397602123, 12.762879831100829, 12.451462482102764, 12.072516457453709, 11.635197065969669, 11.14991216019378, 10.627760366192515, 10.079986097055269, 9.517494738593056, 8.950457422932919, 8.388020108364767, 7.838118135293187, 7.3073876093372245, 6.801158256743246, 6.323509648879275, 5.877372331855684, 5.464657232831639, 5.086399309854343, 4.742904416081234, 4.433891511909026, 4.158624761790436, 3.9160323780477513, 3.7048106460163464, 3.523512879483182, 3.37062375779121, 3.2446201629111013, 3.144019859688563, 3.067419519913768, 3.0135236091499653, 2.9811655614419177, 2.9693225897088893, 2.9771253022024684, 3.003863148188394, 3.0489865439180917, 3.112106385129974, 3.192991443462005, 3.2915640356129843, 3.407894180152039, 3.5421922851511303, 3.694800302787558, 3.8661810758459345, 4.056905466768432, 4.267636666675507, 4.499110904301523, 4.752113586927247, 5.027449661238005, 5.325906805253869, 5.64820984070748, 5.994964673315389, 6.366589946723656, 6.763234704073657, 7.184680636239066, 7.630228414722947, 8.098568274253859, 8.587637148636166, 9.0944671890939, 9.615033468939439, 10.144113213885602, 10.67517317662234, 11.200306926180088, 11.71024631916646, 12.194474393852408, 12.641462670287344, 13.039049169816817, 13.374958210786659, 13.637443374705445, 13.8160112770639, 13.902160931257336, 13.890057155088655, 13.777053310579566, 13.563989350817588, 13.25521936783702, 12.858359830416003, 12.383789794421109, 11.843967888824933, 11.252650307816856, 10.624097815831881, 9.972348405536337, 9.310611081325659, 8.650811444164706, 8.003295974619716, 7.3766840690001185, 6.777844547016324, 6.2119682846277495, 5.682707951631844, 5.192358628645648, 4.742057750503672, 4.33198800323739, 3.9615714216142863, 3.629647486615036, 3.3346309940386103, 3.0746481022093217, 2.8476506797459926, 2.651510173559457, 2.4840928674073917, 2.3433187256139334, 2.227206141030629, 2.1339048120773367, 2.0617188452380595, 2.009121966389631, 1.9747665157871264, 1.957487655503154, 1.9563040174823398, 1.9704158091435968, 1.9992012004257478, 2.042211656754625, 2.0991667389859114, 2.1699487380539506, 2.254597417668512, 2.353305012312734, 2.4664115316934057, 2.5944003232430854, 2.7378937433637778, 2.897648677116059, 3.0745515235214875, 3.2696121282279442, 3.4839559741868196, 3.7188137425364984, 3.975507132991991, 4.255429533912102, 4.560019808713689, 4.890727129392618, 5.248964348061945, 5.636047026253531, 6.053114887763806, 6.501032237406429, 6.9802639167728655, 7.490723811967797, 8.031594294684583, 8.601116766379178, 9.196357369054144, 9.812957052381192, 10.444882115133236, 11.08420046758075, 11.720918823522243, 12.34292478847511, 12.936084776276656, 13.4845473218169, 13.97129040417903, 14.378925636708464, 14.690733065036728, 14.891851398301698, 14.970499693689485, 14.91907278475872, 14.73494660081185, 14.420858933323625, 13.98479512997664, 13.439389980289937, 12.800937180539192, 12.08815477992549, 11.32087682298993, 10.518827781258612, 9.700596298966346, 8.882873421108055, 8.079970914883006, 7.303597267754711, 6.5628454094219, 5.864336978477525, 5.212468884301011, 4.609715570270895, 4.056950411011712, 3.5537603879320003, 3.098737302565851, 2.689736183421754, 2.32409703633556, 1.99882964150113, 1.710763537844094, 1.4566665625942479, 1.2333359113052254, 1.0376657730397563, 0.8666954523734409, 0.717641535266171, 0.5879172627805468, 0.47514185862338587, 0.3771421097533713, 0.29194816266624224, 0.21778512368501365, 0.1530617538338569, 0.09635729006970888, 0.04640719846502732, 0.0020884787265300717, -0.037595017175003714, -0.0735269178182679, -0.10649208511562454, -0.1371896412411162, -0.16624518200615335, -0.19422215268244664, -0.2216323862471724, -0.24894584342461012, -0.2765996105369466, -0.3050062248177391, -0.334561410022104, -0.3656513071849793, -0.39865929106756476, -0.43397246290893665, -0.4719879130818066, -0.5131188403743053, -0.5578006169442971, -0.6064968884926993, -0.6597057813232335, -0.7179663209153084, -0.7818651199435148, -0.8520434128358042, -0.9292045191882478, -1.0141217868583494, -1.107647067439133, -1.2107197684594704, -1.324376498826608, -1.4497612950552254, -1.5881363689999106, -1.7408932729270044, -1.90956430555511, -2.095833759282078, -2.3015486995939054, -2.528728458816639, -2.779571932378626, -3.056461355569873, -3.3619605255908085, -3.6988052578450525, -4.069882341952014, -4.478192724488388, -4.9267930355187435, -5.4187081231334036, -5.95680550931185, -6.543620712447385, -7.181121362266885, -7.8703970306063145, -8.611263023010263, -9.401770844594367, -10.237627251710506, -11.11154018968682, -12.012536019069561, -12.925326339327546, -13.829846369279249, -14.701127580909533, -15.509693548734269, -16.222656227528425, -16.805617989965096, -17.22533993422319, -17.452934481086093, -17.467129005658695, -17.25700908615446, -16.823662329125256, -16.180337366495646, -15.351061128175616, -14.368007957761709, -13.26816469977583, -12.089910272724, -10.870032061465702, -9.641501312792478, -8.432110575713931, -7.263903255692168, -6.15322535389748, -5.111198142090941, -4.144426575482491, -3.2557980750074687 ], "y": [ 2, 4.3727509922370515, 6.5683610276658575, 8.638551598329506, 10.624537434045239, 12.556003721085766, 14.450310153414824, 16.311492968290185, 18.128947159227202, 19.875908124297865, 21.508088834540814, 22.963091859407008, 24.16147858984882, 25.010563238586876, 25.411935336673732, 25.273201547768675, 24.523322885210444, 23.129290992280335, 21.110233182951703, 18.544262945920607, 15.564373725173926, 12.34265020366256, 9.066007381740766, 5.9097261500118545, 3.015611606559205, 0.4794499684297474, -1.65113927137981, -3.370536690276802, -4.704319788890258, -5.697422629748383, -6.403760905489982, -6.878499552832424, -7.173103441148349, -7.332722268509345, -7.395255986788425, -7.3914787328460685, -7.34573350839228, -7.276865420176009, -7.1991886783570305, -7.123379885004036, -7.057250276078523, -7.006385986272048, -6.974664120390249, -6.964660508619844, -6.977967040157785, -7.015435351100706, -7.077361798192404, -7.163625182973555, -7.273787275900322, -7.407163476673374, -7.562869453210162, -7.7398483614829905, -7.936882257234797, -8.152590621175445, -8.38541843973098, -8.633616022119657, -8.895212697670585, -9.16798644540145, -9.449431774326337, -9.736728445234993, -10.026713863608123, -10.315862779026785, -10.600277753224544, -10.875694765901482, -11.137508199628506, -11.380819486140643, -11.600513171189867, -11.791363147656813, -11.948170157175733, -12.06592933437032, -12.140023608368777, -12.166435348707434, -12.141965342342784, -12.064443224895415, -11.932915633699142, -11.747790722844748, -11.510924857429787, -11.225636900551645, -10.896642462070906, -10.529907157936238, -10.132425779407308, -9.711941999196538, -9.276629304202102, -8.834757589076007, -8.394370421463648, -7.962995871058511, -7.547409080197999, -7.153458206590629, -6.785958483454965, -6.448652611360331, -6.14423023243745, -5.874396001348835, -5.639973319903882, -5.44103090175109, -5.277020305933267, -5.146914297016824, -5.049338363024486, -4.982689612195025, -4.94524016463133, -4.935223133757218, -4.950901169046344, -4.990618432900999, -5.052837484729447, -5.136162824659881, -5.23935313558465, -5.361323919056366, -5.50114230960659, -5.658015483490125, -5.831273860291696, -6.020350036999617, -6.224754147355894, -6.44404613036101, -6.677805209745486, -6.925596760440046, -7.186936636338049, -7.461253011316424, -7.747845835811049, -8.04584396090261, -8.35416048704483, -8.67144668183294, -8.99604558297703, -9.325946712924718, -9.658743539534033, -9.991596601900802, -10.32120555796218, -10.643793523522124, -10.955108827172769, -11.250449696203543, -11.524714776488146, -11.772487118505532, -11.988153198578038, -12.16605985547368, -12.300708112505129, -12.386979491653651, -12.420386298367314, -12.397332687639448, -12.315369143419609, -12.173419721058675, -11.971960029229832, -11.713124954077616, -11.400729147522915, -11.040190138848619, -10.638353109331694, -10.203225642860826, -9.743641666821212, -9.268880553127122, -8.78827199200995, -8.310817883692172, -7.844859021315711, -7.397807898628582, -6.975960505796633, -6.584391214640673, -6.226926623274005, -5.906188072910621, -5.623688451851061, -5.379967182958604, -5.174747418567875, -5.00710180488052, -4.8756149018126775, -4.7785339562233435, -4.71390249913146, -4.679673687983283, -4.673802512371755, -4.694317361858773, -4.73937251736622, -4.807283779135771, -4.896549618414916, -5.005860229690138, -5.134096712265769, -5.280322337255771, -5.443767547362012, -5.6238099675844495, -5.819950426374251, -6.031785677265622, -6.2589782591326335, -6.501223704134351, -6.758215163008927, -7.029605405058725, -7.314966062893717, -7.613744028281215, -7.925214979056183, -8.248434186126087, -8.582184976592341, -8.924925620773534, -9.274735877501131, -9.629265099849661, -9.985684424896757, -10.340646525296792, -10.690257206392745, -11.030064064877019, -11.355068072497374, -11.659764563011475, -11.938219888248243, -12.184189263302951, -12.391279779611581, -12.553159395385094, -12.663809046605676, -12.717809842227176, -12.710651426473298, -12.639041348434587, -12.501192929883462, -12.297061372599039, -12.028503335232548, -11.699334998805618, -11.31527347551631, -10.883756263297537, -10.413647343328867, -9.914849282898766, -9.397854300975427, -8.873270953578642, -8.351366810407457, -7.841662593646654, -7.352605732682187, -6.891340478962145, -6.463580206155973, -6.073576992081647, -5.724175377963842, -5.416931989076896, -5.152280804279006, -4.929724083661982, -4.748031558522487, -4.60543402701685, -4.499800957944891, -4.428796337380807, -4.390009085985712, -4.381057586524372, -4.39966952944814, -4.443739275799838, -4.511365730443237, -4.60087374391369, -4.7108220908099785, -4.840000749630548, -4.987419840536859, -5.152292156277683, -5.334010796527096, -5.532123033755858, -5.746301152852706, -5.9763107100217585, -6.221976423076056, -6.483145634196983, -6.759649188551868, -7.051259441134308, -7.357645072537829, -7.678322439225262, -8.012603267540797, -8.359538763256785, -8.71786041932861, -9.085918539224476, -9.461619725755435, -9.842365547476982, -10.224995751051049, -10.605740228274588, -10.980184606431262, -11.34325758230448, -11.689244650758903, -12.01184014935425, -12.304242268584515, -12.559300221587428, -12.76971732281758, -12.928311048680284, -13.028325502327975, -13.063785107683218, -13.029868556476437, -12.923281000411398, -12.74258622442537, -12.48846830351762, -12.16388578660423, -11.774092654766172, -11.326509507234116, -10.830445505050667, -10.296687444219291, -9.73698941241602, -9.163507499881451, -8.58823051142641, -8.022455238709666, -7.476347334531405, -6.958615718703985, -6.476313467469797, -6.034763551272444, -5.637595659708926, -5.286872220482257, -4.983278083760403, -4.726347767181016, -4.514707145762583, -4.3463108523819765, -4.218661366069083, -4.129001696483379, -4.074476622780755, -4.052261806210782, -4.059662180069496, -4.094182484303963, -4.153573859197048, -4.23586035902122, -4.339349388706248, -4.462629531317797, -4.604558811449523, -4.764245860119567, -4.941025915735082, -5.134433125729632, -5.344170029618867, -5.570074931361735, -5.812087313232334, -6.070211311472569, -6.3444769960081775, -6.634899039450697, -6.94143226006416, -7.263923472271904, -7.6020591286426225, -7.955308202081943, -8.322860311145632, -8.703558992107297, -9.095830804561583, -9.497611846055584, -9.906273458496226, -10.318550445871383, -10.73047805934711, -11.13734072947683, -11.533643697986774, -11.913114956293258, -12.268747965926622, -12.592896448770167, -12.877430583811798, -13.11396232762708, -13.29414283407715, -13.410028601759764, -13.45450382698737, -13.421736681890167, -13.3076382572086, -13.110281241579527, -12.830234081390659, -12.470765164643465, -12.037880184903283, -11.54017095751145, -10.988475199486814, -10.395367339786352, -9.774525947513208, -9.14003534247828, -8.505688000638722, -7.884350943330737, -7.2874473256219305, -6.7245866941429, -6.20335682381315, -5.729270667209227, -5.3058477994672035, -4.9347991747441045, -4.616281251351935, -4.349186350009937, -4.13144103556894, -3.9602906335672006, -3.8325549462829507, -3.7448467041475597, -3.693749346648665, -3.675954833885127, -3.688364610838011, -3.7281584232028346, -3.7928362091014476, -3.8802383246290812, -3.9885489184940246, -4.116286684877298, -4.262286472955574, -4.425674532467213, -4.605839504858089, -4.802400656648656, -5.015174294385566, -5.2441389227390305, -5.48939928182311, -5.7511491057670305, -6.029632196332602, -6.325101210616724, -6.63777340261172, -6.967782541223959, -7.315125978664181, -7.679606242702355, -8.060766316208147, -8.457818222388001, -8.869564993668913, -9.29431655401034, -9.729801037269093, -10.173074370754215, -10.620432208304425, -11.067329874595885, -11.508319492023961, -11.93701198303981, -12.346079529836937, -12.72730908871537, -13.071723288660657, -13.369780792493614, -13.611666244853723, -13.787673128150349, -13.888673644511568, -13.906657205353387, -13.83530481090008, -13.67055512686994, -13.411102804572195, -13.058769109174252, -12.618686933509107, -12.099256745749047, -11.511854742167527, -10.870304479925519, -10.190154206571798, -9.487830020089943, -8.779750118427527, -8.081487976462837, -7.407061077259565, -6.768399756215565, -6.1750228986247855, -5.633920048365061, -5.14961592185892, -4.7243793854258564, -4.358530841940853, -4.050803134031575, -3.798717054587263, -3.5989410383238636, -3.4476144031362743, -3.340622351414958, -3.2738183186401275, -3.243194646038481, -3.245006046692284, -3.2758522861603354, -3.332727205090126, -3.4130411012788344, -3.514622856568926, -3.635707310828781, -3.7749123841935197, -3.931209511873365, -4.103890063534155, -4.292529606173148, -4.496951291656126, -4.717189052948039, -4.953450848450334, -5.206081835100815, -5.475527044671784, -5.76229289469119, -6.066906689132937, -6.3898729831270105, -6.731625781412151, -7.092475257357416, -7.472547792216988, -7.8717181619820025, -8.289532907393987, -8.725124297375618, -9.177114867647363, -9.643513358500869, -10.121604130308672, -10.607833731520337, -11.097700576489443, -11.58565595914556, -12.065027683255153, -12.52798058009657, -12.965532317370016, -13.36764060265346, -13.72338552554937, -14.021260353939281, -14.249584519080969, -14.397038143896388, -14.453304909425482, -14.409788012646077, -14.260350441583252, -14.002002453911555, -13.635457421615635, -13.165470260114546, -12.600890225517773, -11.954388054124834, -11.241859174702363, -10.481548759046536, -9.692987654299401, -8.895853167006788, -8.108877421898855, -7.3489122668413405, -6.630229945416604, -5.964099159493678, -5.358636803304124, -4.818902509816229, -4.3471816352696155, -3.943393466694817, -3.6055629150652226, -3.330303247000527, -3.1132704485746077, -2.9495637094041673, -2.8340588279341525, -2.7616709109291646, -2.72755021698316, -2.7272177108045903, -2.7566514231617276, -2.8123321205964613, -2.891258429755383, -2.9909394872138724, -3.109372151124452, -3.2450080519011224, -3.39671482443543, -3.563734643629997, -3.7456421195644567, -3.9423029328520616, -4.153834006667051, -4.380565284395118, -4.623003177599937, -4.881795046804478, -5.157694005437485, -5.451523093324599, -5.764137652210474, -6.096384571578274, -6.449056928557639, -6.822842408734391, -7.218263825279549, -7.635610028709113, -8.074855584378929, -8.53556782518245, -9.01680034972893, -9.516972801662616, -10.033737952352176, -10.563838835684491, -11.102960871307111, -11.645587452321465, -12.184870516852273, -12.712532719007516, -13.218821875851646, -13.692542806752856, -14.121194375850175, -14.49123952419203, -14.788531699150937, -14.998910858338508, -15.108962886421878, -15.106916762961177, -14.983616971322919, -14.733485513845855, -14.355359613105575, -13.853083152172783, -13.235739542181983, -12.517450274118934, -11.716714625997602, -10.855339775645986, -9.957070493478668, -9.046078004769214, -8.145485108050561, -7.276090160741099, -6.455410614716499, -5.697107775436779, -5.010795456417494, -4.40218381631006, -3.8734788187930125, -3.4239448488466833, -3.0505423734325423, -2.748567983193869, -2.5122438038990738, -2.3352246506533962, -2.211008728136, -2.1332509906426167, -2.095986974456242, -2.093779904026985, -2.1218054811171965, -2.175888545817723, -2.252504423774603, -2.3487557461741897, -2.462333425878893, -2.591468504256171, -2.734879807993702, -2.891720921771616, -3.0615288104799867, -3.244175515469733, -3.4398236464067913, -3.6488858580400465, -3.8719880984003856, -4.109936104842747, -4.363684376240695, -4.6343066570385725, -4.9229667753299555, -5.230888510306959, -5.559322997468859, -5.909511986802862, -6.282645087746479, -6.679808945133612, -7.1019261073101525, -7.549681224694982, -8.023432156636746, -8.523103684738809, -9.048061870629356, -9.596967821173214, -10.167610848846133, -10.756723063934151, -11.359780197377745, -11.97079748473229, -12.582134629423042, -13.184331182197628, -13.765997691298514, -14.313800915537552, -14.812581117910598, -15.245646687108522, -15.595285081894398, -15.843517551894397, -15.973100787066635, -15.968740845351727, -15.818442280932468, -15.514861060928935, -15.056494312740542, -14.448515901055243, -13.703085876897779, -12.839015523033279, -11.880762088571325, -10.856837240584667, -9.797816239927224, -8.734204394735755, -7.694433446340779, -6.703222962691788, -5.780461211135351, -4.940661614497815, -4.192957868438631, -3.5415331292418806, -2.986344808843923, -2.5240025431053263, -2.1486774631420937, -1.8529517472523862, -1.6285526598701678, -1.4669448531385199, -1.3597778777087874, -1.2992008107989588, -1.278063782347703, -1.290029172199971, -1.3296143128735198, -1.3921853673104596, -1.4739183747411506, -1.5717402386716661, -1.683258980209255, -1.8066903182821252, -1.9407851561148364, -2.0847610853815386, -2.23823968487158, -2.40119055631894, -2.573882363906974, -2.756840690163942, -2.950812221395085, -3.1567345561307945, -3.3757107845286383, -3.608987902761601, -3.8579379411526267, -4.12404072473558, -4.408866972121829, -4.71406034415418, -5.041316889988897, -5.392360102345533, -5.768909563903066, -6.172640856483737, -6.605134039272226, -7.0678076515355155, -7.561834789723284, -8.088037605249779, -8.646756342346572, -9.23768919205733, -9.859699850294758, -10.510591149114896, -11.186845417739402, -11.883336136841354, -12.593022095931541, -13.306640624357593, -14.01243183438154, -14.695932848309566, -15.339898825172513, -15.924417512094202, -16.427292059723523, -16.82476363598215, -17.092624969317292, -17.207736303428014, -17.149888096862966, -16.903871327635034, -16.461525968803517, -15.823465825353303, -15.00015320763524, -14.012042548339775, -12.888638634218179, -11.666496257246385, -10.386399088994656, -9.09011415895745, -7.817197390214941, -6.602290997754374, -5.47322591954067, -4.450063687342941, -3.545035565908846, -2.7632035178361005, -2.1036010595344954, -1.5606060633800294, -1.1253371650965565, -0.7869259293985116, -0.533580758005965, -0.35341133037099615, -0.23501995511301116, -0.1678891665605616, -0.14260392934679011, -0.15094834378622707, -0.1859130855202012, -0.24164330825956068, -0.31335051349745646, -0.39720554273742065, -0.4902248509664305, -0.5901581867751045, -0.6953828230480367, -0.8048072395308786, -0.9177857070544121, -1.0340441926456336, -1.1536173366576694, -1.2767958684277307, -1.4040836000615804, -1.5361630169364413, -1.6738684740342102, -1.8181660154897359, -1.9701388816715013, -2.1309778305145377, -2.3019754526143346, -2.4845237168108274, -2.6801140263776055, -2.8903390588940843, -3.116895693934406, -3.361588253898748, -3.6263312030680517, -3.9131503576251636, -4.224181414344467, -4.561664342528377, -4.927931911792506, -5.325390103065955, -5.7564875548309855, -6.223670672575069, -6.729320133735852, -7.275663286816208, -7.864656950190119, -8.497832530253302, -9.176096303296799, -9.899475967703783, -10.666805809623618, -11.475344358196091, -12.320322611999963, -13.194428374674771, -14.087244183723271, -14.98467408352063, -15.868418677286654, -16.715588105079792, -17.498575857108012, -18.18534643928289, -18.74030602155037, -19.125907859469528, -19.30508460957587, -19.244471211820965, -18.9181950351098, -18.311787416591105, -17.42557303230708, -16.2767968278516, -14.899839523093739, -13.344178016736914, -11.670206823187879, -9.943545483797875, -8.228813072579525, -6.583947931854093, -5.055954670812836, -3.678556624547649, -2.471774050794373, -1.4430804012971312, -0.589589689325434, 0.09929450600426527, 0.6392383541370822, 1.048657138701485, 1.3468701859583465, 1.5527634653199809, 1.6839139360062403, 1.7560907319891452, 1.7830389690006652, 1.7764595564086723, 1.7461137513201612, 1.6999991751376624, 1.6445589068399538, 1.5848987974584514, 1.5249973700412416, 1.4678996347205129, 1.4158905341192423, 1.3706467680514078, 1.3333674596563352, 1.304885083880441, 1.2857585871833008, 1.276350828821894, 1.2768924109985094, 1.2875339236831234, 1.3083884376591397, 1.3395659078620394, 1.3812009589065717, 1.4334753418972241, 1.4966361780113213, 1.571010942881554, 1.6570199980040379, 1.7551873407751013, 1.8661501211867044, 1.990667360150147, 2.1296281978037888, 2.2840598970415944, 2.455135723887323, 2.6441827135425044, 2.852689223162319, 3.0823119986329837, 3.3348823449878022, 3.612410755439646, 3.9170890865374264, 4.251289023939653, 4.617555141579949, 5.018590296772579, 5.457230397107106, 5.9364047030864855, 6.45907679473312, 7.028159536018137, 7.646397405465452, 8.316205452920507, 9.039454880155745, 9.817192257808262, 10.64927936714492, 11.53394103977251, 12.467211416751239, 13.442276424056455, 14.448723278370274, 15.47172899635472, 16.49125243219662, 17.481337115672204, 18.409684697561346, 19.237718130117884, 19.921387172753594, 20.412985551219833, 20.664175489169114, 20.630252601302775, 20.275405218080774, 19.578356654063295, 18.53742765260104, 17.1738496627023, 15.53225978887199, 13.677785207561962, 11.689901375212289, 9.654084398664567, 7.6528612310809265, 5.757962211442372, 4.024875019971713, 2.4903760358151756, 1.17286434865325, 0.07478863472629338, -0.8137571144363764, -1.511128910031894, -2.040544413020303, -2.427161561732435, -2.695937400828282, -2.87022255754202, -2.9709625455086677, -3.016352381683869, -3.0218008135736936, -3.0000864626883508, -2.961618746041655, -2.9147434484517123, -2.866054574082801, -2.8206902472916995, -2.782601097161117, -2.754786462255428, -2.7394979427338333, -2.738412122419066, -2.7527753635440626, -2.7835240034669995, -2.8313832674801924, -2.896948007636077, -2.9807480601044, -3.0833006666849205, -3.2051520411809626, -3.346909834359903, -3.5092678633822314, -3.6930242077185857, -3.8990934113720397, -4.128513217322314, -4.382445940064271, -4.662174224067764, -4.96909056133424, -5.3046795699447395, -5.6704915008327355, -6.068105019222894, -6.499076697632016, -6.964874092582211, -7.46678865092821, -8.005824113563461, -8.58255562809032, -9.196954585048424, -9.848174482135132, -10.534294092801288, -11.252016542709974, -11.996327088565648, -12.760117973593484, -13.533798906989146, -14.304923582767827, -15.057879156892088, -15.773704399425284, -16.430118800980733, -17.001861062779025, -17.461437101077077, -17.780358715674666, -17.930909161814093, -17.888389788435198, -17.63369153198562, -17.15590432723592, -16.45457907464092, -15.541195671779105, -14.439448472667538, -13.184120321048379, -11.818572665708189, -10.391163046130869, -8.95113080523767, -7.544594772786571, -6.2112453276919695, -4.982130496162273, -3.8786771118902506, -2.9128499396124674, -2.0881834243393564, -1.4013484409041144, -0.843928177251724, -0.40414685891077184, -0.06838223876835652, 0.17762065291026052, 0.3478513937457656, 0.4554256634030453, 0.5122181887695723, 0.528682311418236, 0.5138042941646755, 0.4751482921208225, 0.41895727422970114, 0.35028420284942, 0.2731353829757746, 0.1906139837399792, 0.10505626217996232, 0.018156214250268254, -0.0689234359985886, -0.15545447474522142, -0.2410603863559483, -0.3256466373415079, -0.409342937140709, -0.4924561660689309, -0.5754327880841275, -0.6588294386098366, -0.7432905769957163, -0.8295321781117468, -0.9183305337889361, -1.0105153604792387, -1.1069665352337361, -1.2086138612562505, -1.3164393706244182, -1.4314817585727138, -1.5548426072723307, -1.6876941073621903, -1.8312880427205995, -1.9869658143094626, -2.1561692970727884, -2.3404523127074595, -2.54149246733728, -2.7611030360442546, -3.0012444789927555, -3.2640350496424526, -3.551759743702459, -3.8668765727157006, -4.212018803238027, -4.589991330357269, -5.003758749581393, -5.456421960238552, -5.9511789513290685, -6.491264568624873, -7.079862421174163, -7.719980075331138, -8.414277351326758, -9.164835130367905, -9.972850596605324, -10.83824374673987, -11.75916045328411, -12.731361238192223, -13.74749246832875, -14.79625200616972, -15.861486266490065, -16.921292815340813, -17.947254083205124, -18.90398886297907, -19.749273582591265, -20.43503283631858, -20.90949969615179, -21.120758979679426, -21.021679550278943, -20.57589723468576, -19.76407880549089, -18.589304080621154, -17.080208632666647, -15.290734871576065, -13.295981452515043, -11.184593836861398, -9.049078996285983, -6.975978920732241, -5.0377894989656475, -3.287898221496453, -1.7589221597869895, -0.46400582944467705, 0.5998672828533456, 1.4476200480090402, 2.1017884909092746, 2.5887868633466478, 2.936013944299106, 3.169842168020364, 3.3143842671751176, 3.39086848188155, 3.417446172355436, 3.4092789684048665, 3.3787872761458133, 3.335976542314153, 3.2887865152548423, 3.2434306061630327, 3.2047075522009507, 3.1762775942282255, 3.160901149236841, 3.1606415157074563, 3.177034714910097, 3.2112302668056945, 3.2641067687038476, 3.3363659048422893, 3.428608153227215, 3.5413930188292744, 3.6752861695159114, 3.830895467335397, 4.008897430234785, 4.210055293602706, 4.435229448801367, 4.68538064994154, 4.961565999680637, 5.264927315977694, 5.596671061197512, 5.958038567329175, 6.350264838766364, 6.774523630068289, 7.231856164033538, 7.7230802153276095, 8.24867603533616, 8.808645372549538, 9.402339989845109, 10.028256797450087, 10.683798231837564, 11.3649992129217, 12.066226317381252, 12.779861140364362, 13.495988186925233, 14.202121266295602, 14.883008796568863, 15.520583259863722, 16.094120681332974, 16.580690183820447, 16.955963218554512, 17.195429958581354, 17.276022873930373, 17.178072635995363, 16.88744033115354, 16.397566152372786, 15.71111940869072, 14.840915504141933, 13.80983212028163, 12.64960196988847, 11.398557996902456, 10.098615632508364, 8.791926956877607, 7.517696911770205, 6.309591739268323, 5.194021985638582, 4.1893928067292565, 3.3062401897975024, 2.548050401470217, 1.912506777819069, 1.39291593752989, 0.979613352259839, 0.6612140983049488, 0.4256367738557938, 0.26088086838487967, 0.15557167321752763, 0.09930624058247602, 0.08284123308739173, 0.09816295422401652, 0.13847503542893635, 0.1981326605979432, 0.2725454177832516, 0.3580649243394124, 0.4518683394766492, 0.5518451575128311, 0.6564917159818981, 0.7648159759442349, 0.8762536427163548, 0.9905958354237606, 1.1079278789046385, 1.2285785132300813, 1.3530785755315575, 1.482128153044968, 1.6165711939418674, 1.7573765944842175, 1.9056248375066294, 2.0624993211006943, 2.229281598192912, 2.4073497611216386, 2.598179302567941, 2.8033457786927825, 3.0245285859012214, 3.2635151459037655, 3.522204721141208, 3.8026109298696387, 4.106861886966109, 4.437196621267932, 4.795956107038692, 5.18556679052275, 5.6085139833457935, 6.067301802930024, 6.564395554222121, 7.102141516450519, 7.682658053365055, 8.307691063623155, 8.978425429654282, 9.69524411753516, 10.457426118568794, 11.262776033595156, 12.107181378768427, 12.984100073444052, 13.883991339783426, 14.793720758009512, 15.695989673097595, 16.568875110603777, 17.38559468395525, 18.114649096901676, 18.720515514794652, 19.16506252462924, 19.40980781838634, 19.419029036313763, 19.16355895994717, 18.624866504713772, 17.79880109562986, 16.69823824173567, 15.353895943551722, 13.812852645250025, 12.134752123786736, 10.386213953353156, 8.634406370157526, 6.940916248531722, 5.356916586658885, 3.920247065368312, 2.6545385181194754, 1.57009133206344, 0.6659645959047136, -0.06733031647031822, -0.6450541418701641, -1.0857457085143667, -1.4092037450635866, -1.6350003004021632, -1.7814892279141117, -1.8652260287822995, -1.9006996715022093, -1.9002835531156812, -1.8743275832548094, -1.8313322533163123, -1.7781625122874334, -1.720273194413037, -1.6619284505412848, -1.6064052891977885, -1.556176284186392, -1.5130697988083717, -1.4784080734000793, -1.45312459137536, -1.4378627362809149, -1.4330579154584395, -1.439005370528451, -1.455915768611485, -1.4839605122413042, -1.5233085094785808, -1.5741559494949668, -1.6367504333462521, -1.7114106236666542, -1.7985424044460177, -1.898652384759333, -2.012359428040061, -2.1404047574508493, -2.283661050241787, -2.443140808150801, -2.620004185682634, -2.8155662965242994, -3.031303887007628, -3.2688610963068117, -3.530053861761927, -3.816872184889632, -4.131479304970281, -4.476206358821196, -4.8535406552102405, -5.266105105816573, -5.716625721353082, -6.207882445959521, -6.742639477593237, -7.323546949289283, -7.953007303738718, -8.63299638476119, -9.36482868349069, -10.148855029640421, -10.984081065868162, -11.867696697935806, -12.794511114297723, -13.756298281654468, -14.741071583147837, -15.732332346038747, -16.708369052965697, -17.641728846760184, -18.49903188881641, -19.241341190239424, -19.82532946497542, -20.205458280826168, -20.337287755846656, -20.18184194246801, -19.710667617761562, -18.91089292283142, -17.7893257328483, -16.37454375669698, -14.716156424636278, -12.880958856529578, -10.946434158105264, -8.992744754905697, -7.094728970328119, -5.315344151443858, -3.7015210746927725, -2.2827218836549044, -1.071873886875761, -0.06796286662371506, 0.7405428942648651, 1.372156718545605, 1.8492208272864914, 2.1953937986149277, 2.4338407710533336, 2.5860665784549934, 2.6712696293704226, 2.706080337038358, 2.7045599272906085, 2.6783593641397028, 2.6369647114831074, 2.5879782523204606, 2.5374030351253123, 2.489912121352656, 2.4490927704765895, 2.417661613196735, 2.3976504570072534, 2.390564324792216, 2.3975142880245603, 2.4193280458261968, 2.45664121932484, 2.5099721652407534, 2.5797828629862427, 2.6665281324516896, 2.770695137489086, 2.89283482996656, 3.0335867136868373, 3.1936979989987413, 3.374037993343965, 3.575608268856753, 3.7995488918086564, 4.047140717454245, 4.319803440067375, 4.619088752932684, 4.946667624088849, 5.304310192793332, 5.6938563606471755, 6.1171745317636015, 6.57610533065832, 7.072386407112477, 7.607553678807576, 8.182813638220924, 8.79888075768313, 9.4557737460981, 10.1525647897504, 10.887076509217088, 11.655526339467972, 12.452119526736938, 13.268603672164861, 14.093807475902336, 14.913203625920804, 15.708557922962928, 16.45774623242615, 17.13485071239858, 17.71065608754889, 18.153670567762653, 18.4317621912532, 18.514433773986994, 18.37564275968494, 17.996918241227657, 17.370374058820985, 16.501090697632055, 15.408324126661215, 14.125119100199038, 12.696171327078096, 11.1741398419381, 9.614956861095449, 8.0729005359754, 6.596221670351796, 5.223939832321175, 3.984120517849223, 2.893618153080181, 1.9590137186246337, 1.1783395305190858, 0.54316819725829, 0.0407145518789095, -0.3442897545749025, -0.6280752372890355, -0.8267022193242144, -0.9552912367603785, -1.0275577776774987, -1.0555823517469025, -1.0497496784309726, -1.0188008086133804, -0.9699540109966819, -0.9090621540446541, -0.8407841646496689, -0.7687559058187005, -0.6957516418188603, -0.6238311734862476, -0.5544704475245295, -0.488675199851969, -0.42707818742132, -0.3700212315061936, -0.317623504654923, -0.2698376801156803, -0.22649550206354047, -0.18734427726898512, -0.15207566202995695, -0.1203479968650323, -0.09180326504164844, -0.06607966417182287, -0.04282060125902476, -0.021680820525699532, -0.0023302620085171154, 0.015543858359096373, 0.03223633854492251, 0.04802431839044807, 0.06316838252226534, 0.07791422904576535, 0.09249474070466777, 0.10713233890141602, 0.1220415292413767, 0.13743157672719486, 0.15350927053758057, 0.17048175598780368, 0.18855941987577807, 0.20795884543008852, 0.22890583563112887, 0.25163853372765077, 0.2764106665634662, 0.30349494128262583, 0.3331866364757207, 0.3658074269748776, 0.40170949069339057, 0.44127994648539587, 0.4849456793288732, 0.5331786123102703, 0.5865014885092545, 0.6454942325958097, 0.7108009657488804, 0.7831377540581477, 0.8633011707120142, 0.9521777604949342, 1.0507544973982454, 1.1601303228515816, 1.2815288511578793, 1.4163123198699579, 1.5659968464880276, 1.7322690257902158, 1.9170038533808198, 2.122283905555383, 2.3504195912309527, 2.603970168005469, 2.885764993600911, 3.1989241731708136, 3.5468774316896856, 3.933379412847647, 4.362518876665741, 4.838717819717664, 5.366716290232225, 5.951535120087955, 6.598407416424923, 7.312666368736647, 8.099572341657932, 8.96405773218612, 9.910362610572525, 10.941526815961593, 12.058702556774394, 13.260243452333915, 14.540535092389296, 15.8885432962262, 17.28609132041799, 18.70594033499971, 20.109849521096297, 21.4469396885962, 22.65287318396867, 23.650555174843714, 24.35318464324854, 24.670413502865895, 24.51795359391961, 23.830105383769418, 22.573433874102253, 20.758550910776105, 18.44632860588706, 15.745519116433167, 12.800892529345731, 9.773997730013736, 6.8211752332970015, 4.074255674151739, 1.6281013677040992, -0.4634542264510044, -2.1843285212236583, -3.548224024145223, -4.588920289696959, -5.351120007443765, -5.883147236599008, -6.231893499080083, -6.439821496804225, -6.543564251281147, -6.57361070128351, -6.554642127810295, -6.506197579618843, -6.443456049258009, -6.378010548242915, -6.31856959910567, -6.271560442679728, -6.241630236752475, -6.232052838999462, -6.245053319724837, -6.282063219628567, -6.343918852238615, -6.431012953930181, -6.543408294754447, -6.680920332352422, -6.843174196250371, -7.029640317141731, -7.239651982592464, -7.472407383311457, -7.726958185792413, -8.00218628308543, -8.296770178053295, -8.60914239991662, -8.93743947111786, -9.279446216364834, -9.63253668633507, -9.993614650770303, -10.359057420581811, -10.724667761178246, -11.085639771222516, -11.436545663161947, -11.771351280091192, -12.08346867817111, -12.365853911115739, -12.611156956739931, -12.811928216837906, -12.960881977774774, -13.051211596106862, -13.076944341579157, -13.033315619584297, -12.917135553305464, -12.727115526502727, -12.464118383651643, -12.131299139697928, -11.734109728653813, -11.280153533241279, -10.778891396668653, -10.241217693978108, -9.678941050010353, -9.104215642174626, -8.52897334933169, -7.964405521093475, -7.420534069420462, -6.905898287461259, -6.427368616673259, -5.990084549362576, -5.597501833746722, -5.251526010863076, -4.952707501727668, -4.700471315164977, -4.493359157458145, -4.3292655034762655, -4.205654397366285, -4.119748962400478, -4.068689335306565, -4.049658511807509, -4.059977648496697, -4.09717394061557, -4.159024895961917, -4.243582993752576, -4.349184621700525, -4.4744467594049695, -4.618254375975781, -4.779740948532059, -4.958264052805758, -5.15337725155887, -5.364799385014813, -5.592381709413409, -5.83607311979891, -6.095883412549351, -6.371844319809783, -6.663967880028895, -6.972201625673925, -7.296380027826038, -7.636171647793164, -7.9910215226064025, -8.360088731672315, -8.742179205906396, -9.135674415894169, -9.538457487031586, -9.947839100614312, -10.360486153064072, -10.772359412926903, -11.178663956499502, -11.573823636430268, -11.951486093808334, -12.30457041016714, -12.625367464885151, -12.90570284173433, -13.137169481253427, -13.311432610141996, -13.420602758195624, -13.457662354960469, -13.416926086988337, -13.294496921898636, -13.088680119877576, -12.80030644046339, -12.432921690913755, -11.99280596558433, -11.488803103095986, -10.93196155234962, -10.335010065522063, -9.711714461851267, -9.076175367014814, -8.442133320734861, -7.822343755677769, -7.22807174214323, -6.6687378123718375, -6.151725789515006, -5.682344741220272, -5.263922440010563, -4.897999120848774, -4.584587155502857, -4.322463896594624, -4.109469966060576, -3.9427918103556077, -3.819214239113777, -3.735335036521903, -3.6877388049299107, -3.673130938146887, -3.688435179350527, -3.730859467838533, -3.7979353948624435, -3.8875364826749568, -3.9978800769341123, -4.1275169667916245, -4.275312185028825, -4.44041973021017, -4.622253203308633, -4.8204537276260595, -5.034856239705694, -5.265454524889527, -5.512365128164088, -5.775789951769617, -6.0559771688938255, -6.353179708452387, -6.667610685188132, -6.999394848750025, -7.3485151898482535, -7.714753890124233, -8.097626953815023, -8.49631211283907, -8.909570067136137, -9.335659746091386, -9.77224931598346, -10.216325572751199, -10.664106187240767, -11.110960896075499, -11.551349848967858, -11.978789533363601, -12.385858719173076, -12.764258081243797, -13.104937919701877, -13.398306912087927, -13.63453124271626, -13.803927091587946, -13.897437023416709, -13.90717629505065, -13.827008516393905, -13.653108960670377, -13.3844542032254, -13.023178209435189, -12.574737177546911, -12.047842208787682, -11.454143775462999, -10.807680933585143, -10.124142530790964, -9.42001132927015, -8.711677754707251, -8.014610791813437, -7.34266109670746, -6.707548295206091, -6.118556797331994, -5.582436812661418, -5.103485152012352, -4.683766145401189, -4.323426718666607, -4.021060969977606, -3.7740859523046817, -3.579099095102014, -3.4321975754736247, -3.3292486214535804, -3.2661069492048984, -3.238780776176835, -3.2435510403391477, -3.277050547244619, -3.336310011886272, -3.418778257547621, -3.522322615452169, -3.6452149908023204, -3.7861081888753323, -3.944005795083315, -4.118228247686158, -4.308376983277792, -4.514297699674258, -4.736043563004087, -4.9738384515236005, -5.228040101765692, -5.499102719796024, -5.787538353492205, -6.09387613666091, -6.418618373255397, -6.762192269427479, -7.124896099324024, -7.506838559615555, -7.90787016883343, -8.327505763588963, -8.764837530899287, -9.218438617112746, -9.686258249678492, -10.165510605980185, -10.65256110973977, -11.142816604129642, -11.630627571744194, -12.109214273670185, -12.570631367203607, -13.005788472253258, -13.404546019354038, -13.755905838325768, -14.048313335453583, -14.270082048299537, -14.409938561825976, -14.457675401812073, -14.404873084363722, -14.245639215325522, -13.977289795359363, -13.600889618901592, -13.121568398659273, -12.548545607143664, -11.894827601302646, -11.176581760540184, -10.41223900333372, -9.621415884061186, -8.823772680012539, -8.037929786044197, -7.2805497368986565, -6.565660705115128, -5.904257674217228, -5.304178068915691, -4.770216372380241, -4.304421989091823, -3.906516511715402, -3.574369318326732, -3.304480095325658, -3.092429845478688, -2.933276174652349, -2.821880628207194, -2.753165445243005, -2.722303474020036, -2.7248492383306657, -2.7568207932501654, -2.8147423173156114, -2.89565677757596, -2.997116848352555, -3.117160812880162, -3.2542788832928933, -3.407374016799009, -3.575720230082616, -3.758920469549415, -3.95686533401214, -4.169693334550072, -4.397752886943112, -4.641565841832677, -4.901792044994257, -5.1791941607486605, -5.4746017725340135, -5.788873574988332, -6.122856328962766, -6.477339073590747, -6.8530009669201055, -7.250351080843152, -7.66965843206795, -8.110870633812194, -8.57351979927477, -9.05661480699448, -9.558519856347539, -10.076820412686656, -10.608179454819904, -11.148189317928004, -11.691227560569388, -12.23032911300405, -12.75709143925828, -13.261633982274248, -13.732637173845823, -14.157489117577333, -14.522567720364549, -14.813680974138169, -15.016677084897871, -15.11821879030365, -15.106689788871298, -14.973172660994745, -14.712407049657433, -14.323613951178384, -13.811063400676858, -13.184274689270385, -12.457777782051542, -11.65041510386049, -10.784240147179233, -9.88312621748258, -8.971248336163447, -8.07161594223764, -7.204816802617238, -6.388088733157416, -5.6347760257531165, -4.95416814643249, -4.351668736465742, -3.829213329125631, -3.3858428539804355, -3.018345514128731, -2.721895463190253, -2.490637454656659, -2.318187132735832, -2.198034065148863, -2.123847571560774, -2.089693850187288, -2.0901773589056094, -2.1205210084628345, -2.176599330793109, -2.254937187928775, -2.352684949097557, -2.467578265056974, -2.597889250607796, -2.742373885537879, -2.900218948898313, -3.070990786369441, -3.2545872393794912, -3.4511934180287587, -3.661241504182045, -3.885374287138314, -4.124411910876701, -4.379321041266686, -4.651185472674796, -4.941177004631348, -5.250525247483911, -5.580484850528052, -5.932298457416416, -6.307153504645928, -6.706130788569233, -7.130142552786935, -7.579857717309237, -8.055611828668935, -8.557299428991042, -9.084246908735023, -9.635064665375289, -10.207478670527617, -10.798143573972771, -11.402442428893309, -12.01428220939518, -12.625899604963344, -13.22769805083544, -13.808144263109432, -14.353759811010084, -14.849249078111898, -15.277807223605022, -15.621647573398155, -15.862774262483066, -15.98400166972902, -15.970183693003127, -15.80957048073625, -15.495160091486174, -15.025873098831951, -14.407360384282686, -13.652272353445102, -12.77987837537224, -11.815014212630215, -10.786452490909408, -9.724888243312646, -8.66080005058714, -7.622459867841388, -6.634322508773665, -5.71594356993934, -4.8814745333767595, -4.139692893506222, -3.4944583460867387, -2.9454550372760546, -2.489077926700852, -2.119342581120697, -1.8287300802601871, -1.6089131604084375, -1.4513392184031069, -1.3476685262625003, -1.2900805566831124, -1.2714685140589674, -1.285544773833799, -1.3268795042947161, -1.3908914807299941, -1.4738070378665433, -1.5725997830197176, -1.6849202211373908, -1.8090220553600267, -1.9436897004623943, -2.088169996472511, -2.242109877977628, -2.405500819029298, -2.5786302954893774, -2.762040070127277, -2.9564907858336995, -3.162932143448728, -3.3824778087461103, -3.6163840848521707, -3.866031282924302, -4.13290663203772, -4.418587468463857, -4.72472330715523, -5.0530152250039615, -5.405190772606826, -5.782972370694104, -6.188036841603223, -6.621963373005591, -7.086166836919641, -7.581813029357495, -8.109712093886765, -8.670186259095649, -9.26290817472523, -9.886706781449885, -10.539339054273722, -11.217228450942892, -11.915174896878955, -12.62604705772746, -13.340475779921894, -14.046578499241788, -14.729756949243715, -15.372623124287554, -15.955123126388136, -16.454932662031066, -16.848196012069618, -17.11065925223547, -17.2192062990067, -17.153739303139375, -16.899259679711015, -16.447916795764698, -15.80071880472099, -14.968577217910077, -13.972407881697091, -12.842137829055611, -11.614658029532535, -10.330964255648235, -9.032892851287276, -7.759928346295251, -6.546522400440845, -5.420230228693874, -4.400793085154608, -3.500115150729952, -2.722954992781352, -2.068086890308001, -1.5296836101464053, -1.0987147528861698, -0.764214517721587, -0.5143378329949317, -0.337175500818392, -0.22133662891544573, -0.15632805610656447, -0.132769854005664, -0.142486909892287, -0.17851251058369455, -0.2350336589943198, -0.3073012161378085, -0.39152188087958695, -0.4847439858798296, -0.5847450135943901, -0.6899259184679338, -0.7992150444161894, -0.9119830412188292, -1.027969115667841, -1.1472183852775175, -1.2700296551248882, -1.3969127481467516, -1.5285544093093555, -1.6657917837621292, -1.8095924888659476, -1.9610403448140266, -2.121325893234518, -2.2917408894677576, -2.473676012364377, -2.6686210630199745, -2.8781669563456793, -3.104008791035549, -3.3479492388916636, -3.611901440483494, -3.897890392966044, -4.208051710966866, -4.544626335003471, -4.9099494149356255, -5.306431096428795, -5.736526555226679, -6.202691771988736, -6.7073207677516, -7.252659037979876, -7.840687276199009, -8.472968019015646, -9.150447191328096, -9.873201903180783, -10.640127487761323, -11.448556171942093, -12.293805997452141, -13.168665011593637, -14.0628274547488, -14.962316968776806, -15.848954291051896, -16.69995979535218, -17.487812174273333, -18.18051680007953, -18.742453247096627, -19.135958137249197, -19.32373787156723, -19.272081718008895, -18.954659410419865, -18.356461543685754, -17.477240919394337, -16.333709686566102, -14.959831749895157, -13.40484822119154, -11.72913875875974, -9.998530293454632, -8.278034522539187, -6.626102517880754, -5.090294401110538, -3.704860407477192, -2.4902653463207955, -1.4543160289404722, -0.5943421371241194, 0.10014434882393591, 0.6447878632830767, 1.058044747432508, 1.3593154363716407, 1.5675883825376133, 1.7005502257648184, 1.7740774651173816, 1.8020145097053368, 1.7961504325906084, 1.7663226196666848, 1.7205930461020522, 1.6654582964616094, 1.6060681729640436, 1.5464370118515989, 1.4896388595738086, 1.437982190381592, 1.3931628664505304, 1.3563957833108962, 1.3285266542104859, 1.310125847242437, 1.3015664410799506, 1.3030885717238763, 1.3148521144348628, 1.336979546170299, 1.3695906627032794, 1.4128306315842127, 1.4668926782831992, 1.5320365338051216, 1.6086035816434412, 1.6970295459955769, 1.797855365675813, 1.9117368145961768, 2.039453301102304, 2.1819161612461646, 2.3401766690499035, 2.515433872069662, 2.709042238507333, 2.922518982518387, 3.1575507869332085, 3.415999445976694, 3.6999057290095387, 4.011490481130358, 4.353151606178615, 4.727455112212342, 5.137117808834316, 5.584978502131794, 6.073953612024733, 6.606972027055784, 7.186882727361417, 7.816326633293986, 8.497564220861767, 9.232246079321955, 10.021114985055535, 10.863625991752007, 11.757472980538788, 12.698013711213001, 13.677594087184588, 14.684787386048061, 15.70358721907137, 16.712628475462694, 17.6845544997571, 18.585703588612652, 19.37634014616119, 20.01168993010166, 20.44402897896664, 20.625989927917352, 20.5150557321484, 20.078912071734646, 19.300965811956758, 18.185007314799712, 16.757868862827827, 15.069105824357807, 13.187291071686433, 11.19331131001246, 9.171840518986414, 7.2026363412678, 5.3532777415063055, 3.674467949125371, 2.1982855791146507, 0.9390651938314853, -0.10386635518531181, -0.9425114246192691, -1.5963811546734423, -2.0890859804529165, -2.445623926570756, -2.6904368194542907, -2.846166444664778, -2.9329754603876053, -2.968282284176033, -2.9667736105435045, -2.9405855026772616, -2.8995733109548274, -2.851616386558386, -2.8029236384163885, -2.758320541319977, -2.7215076867045487, -2.6952874596477154, -2.681758827956253, -2.6824822874927245, -2.698617938004357, -2.73103997359667, -2.7804308142549448, -2.847357886268872, -2.932335746524387, -3.0358758841148195, -3.1585262182008074, -3.3009019553936114, -3.463709118780423, -3.6477617740873947, -3.8539936810501274, -4.08346474730544, -4.337362337588859, -4.616997195647967, -4.923793320418261, -5.259270746206034, -5.62501977520229, -6.022664550935674, -6.4538135102676915, -6.919993479435585, -7.42256361537312, -7.962604779128263, -8.540779420203238, -9.15715680122328, -9.81099861313447, -10.500500896425459, -11.222490469491134, -11.972078032469835, -12.742275795639387, -13.52359746598923, -14.303670471545361, -15.066907201049599, -15.794301077196533, -16.46343134905301, -17.048777295426348, -17.52244645045463, -17.85540354169033, -18.01924336187465, -17.98846804145977, -17.743116366465976, -17.27145718197309, -16.57235302905454, -15.656831806513765, -14.548456703106698, -13.282244552988084, -11.902145880247193, -10.45739599503515, -8.998290108957379, -7.572049345309367, -6.219386678909104, -4.972195201662889, -3.8525124198152976, -2.872664924475752, -2.036320433849348, -1.3400971763604141, -0.775391806144111, -0.33015932474505494, 0.009530803775777669, 0.25824769966647065, 0.4302784507859519, 0.5390063883148192, 0.5965379986834233, 0.6135214879368253, 0.5991032569744289, 0.560976783482739, 0.5054881941784106, 0.4377721951941721, 0.3618998497870799, 0.2810261473119632, 0.19752968092114734, 0.11314024006941259, 0.02905227959095099, -0.05397625439688134, -0.13553940300895348, -0.21551204849735484, -0.2939909594275273, -0.371246717942184, -0.4476852110182979, -0.5238174214127027, -0.6002363503121861, -0.6776000089871982, -0.7566195426165777, -0.8380516702955091, -0.9226947341388178, -1.011387768223417, -1.1050120873352416, -1.2044949927072164, -1.3108152507164181, -1.4250100886476125, -1.548183481037624, -1.6815155483604245, -1.8262729181950677, -1.98381990047588, -2.155630330709436, -2.3432999065532436, -2.548558792612686, -2.773284193545414, -3.019512479780763, -3.2894502829467522, -3.5854837755081124, -3.910185016737432, -4.2663138807688545, -4.656813591696005, -5.084797019873099, -5.553520349416439, -6.066339471643824, -6.626642798842252, -7.237753152300473, -7.902788898553768, -8.62447271578102, -9.404874033717842, -10.24506942884137, -11.144704395060353, -12.101439980246285, -13.110274840579324, -14.162739201687339, -15.24597938675771, -16.341779274558974, -17.42561066190581, -18.465863752428657, -19.42347845411153, -20.25226925805486, -20.90027979343915, -21.31248373966415, -21.435022354566758, -21.220894325266205, -20.636598828057366, -19.66874474612398, -18.329244274162182, -16.657617514950775, -14.719317302979995, -12.59984291009609, -10.395514402226645, -8.202715079547978, -6.107795550511497, -4.17952249300323, -2.465105196460254, -0.9898278950520296, 0.2404791277877381, 1.235279960317934, 2.0146164540504987, 2.6046908078846642, 3.0342412918172035, 3.3318857620448745, 3.5243877859356108, 3.635684248614507, 3.6864776200230542, 3.6942085380921568, 3.673259209019391, 3.6352780143545833, 3.5895516079499123, 3.543378471360851, 3.502418267416197, 3.4710044678914476, 3.4524161239925024, 3.4491093141411677, 3.4629113201638075, 3.4951815931949874, 3.546943830675851, 3.618993284897124, 3.711982956316, 3.826492001325958, 3.9630789553764982, 4.122322064887557, 4.304848469457481, 4.511353558233957, 4.7426113277322255, 4.999476343140742, 5.2828771859091725, 5.5938011209033585, 5.933269134210682, 6.302300083707001, 6.701862262446418, 7.1328102150297426, 7.595804252863049, 8.091209791708929, 8.618973480681834, 9.178473219780642, 9.768339732594496, 10.386248596645359, 11.028683812714323, 11.690677443870342, 12.365534856301208, 13.044562188910092, 13.716821877665039, 14.36895110935956, 14.985092246900095, 15.54699147632332, 16.034329937966113, 16.42534819217844, 16.697809085505124, 16.830310270451303, 16.803904060165284, 16.60391382811944, 16.22175816068691, 15.656533553621285, 14.916075475691194, 14.01724961964213, 12.985315262287562, 11.852353478657996, 10.654922989984598, 9.431256173382918, 8.218388758061199, 7.049617711731057, 5.9525898426707595, 4.948183909668178, 4.050195938232332, 3.2657122722997105, 2.5959784943938002, 2.0375503733992097, 1.583533200137797, 1.2247618521648596, 0.9508273500648918, 0.7509041877140435, 0.6143707382817967, 0.5312392961928749, 0.4924253793979788, 0.48989013417697375, 0.5166884770677026, 0.566951544483914, 0.6358264413184529, 0.7193910208970576, 0.8145566930685404, 0.9189681657616318, 1.030906287126146, 1.1491975915575772, 1.2731326927360334, 1.4023944213536919, 1.536995926635466, 1.6772283908137753, 1.8236177267926639, 1.9768894470317029, 2.1379408023219666, 2.3078192609440453, 2.4877063909850685, 2.678906231570186, 2.882837250312289, 3.1010269928865792, 3.335108522396565, 3.5868176919639767, 3.8579902365317453, 4.150557534623748, 4.4665397043265695, 4.808034546801165, 5.177200270949218, 5.576229926311513, 6.007314657904637, 6.472592422679857, 6.974078038084488, 7.51356999972998, 8.092528423493317, 8.711917956715087, 9.372009186606055, 10.072132493294907, 10.810378896703082, 11.583245824173424, 12.385229522805155, 13.208375111684559, 14.041805339052235, 14.871268691389417, 15.678762225691907, 16.442318039820663, 17.1360577895581, 17.73064365355583, 18.194252920934574, 18.49417776519356, 18.599084101584566, 18.481847650865863, 18.122734903961202, 17.5125257416746, 16.65504647943138, 15.56854853178259, 14.285477176558206, 12.850439621765673, 11.316545281751475, 9.740653411010992, 8.178310178308006, 6.679196438627775, 5.283741390614149, 4.021248935438121, 2.909543332370153, 1.9558674452062002, 1.1586174953971995, 0.5094758329629632, -0.004427107499032051, -0.39857575188866406, -0.6894928802421383, -0.8935632948238396, -1.0262326429679136, -1.101522014522156, -1.1317866601027873, -1.1276505658899074, -1.0980582100077074, -1.0503977812704717, -0.9906623714259487, -0.9236256835004885, -0.8530172899257831, -0.7816882023002353, -0.7117617064049583, -0.6447672395106613, -0.5817568554243836, -0.5234048991117758, -0.4700921106304799, -0.4219757057796617, -0.37904705150480944, -0.3411785746417066, -0.3081614380661853, -0.2797353995296129, -0.2556121319031753, -0.2354931356111103, -0.21908323230438662, -0.20610049535376884, -0.1962833453255044, -0.18939542689749847, -0.18522878707375207, -0.18360577647007206, -0.18438003041403297, -0.18743681355430264, -0.1926929582003118, -0.20009658132367925, -0.20962672886976408, -0.22129305867576687, -0.23513565738128134, -0.25122506265282035, -0.26966254456054195, -0.2905806999362467, -0.3141443921203497, -0.3405520750724824, -0.3700375333902127, -0.40287206858137586, -0.43936716661260694, -0.47987768033817707, -0.5248055643830274, -0.574604208103439, -0.6297834121476158, -0.6909150616715376, -0.7586395553147733, -0.8336730524105315, -0.9168156121901212, -1.0089602849408938, -1.111103249158014, -1.2243550530780103, -1.3499530390667862, -1.4892750167120394, -1.6438542016881181, -1.8153954542523325, -2.0057927752853657, -2.217147921355805, -2.4517899305942037, -2.7122952439909525, -3.0015075583104656, -3.3225569844835188, -3.678876597585475, -4.074214824482768, -4.512640791948098, -4.998538478768609, -5.536584895445243, -6.131704306186908, -6.788988977248725, -7.513573187497477, -8.310443292275716, -9.184161689629997, -10.138477500285834, -11.1757911476511, -12.296436021346079, -13.497739118486985, -14.772829146139498, -16.109179355528212, -17.486910041862792, -18.876945100271303, -20.239223693092804, -21.521316177431732, -22.657973938046023, -23.57231049547271, -24.179391041709312, -24.39286765073922, -24.13481601530703, -23.34802455627826, -22.008792078126753, -20.13719764208774, -17.801439784150897, -15.113750119237475, -12.21758955710797, -9.268620687005873, -6.41404201483208, -3.775253934706383, -1.4373564055482149, 0.553505512064525, 2.1862376199772067, 3.4769065813241626, 4.459553094457817, 5.177726638376788, 5.67783039267261, 6.004568016421202, 6.1982764387378095, 6.2937055740444645, 6.319776861668428, 6.299924839602835, 6.252731651125986, 6.192663614570591, 6.130797611941948, 6.075479449745425, 6.032891031356296, 6.007523017101192, 6.002559824223779, 6.020187942487688, 6.061839566028269, 6.128382499757288, 6.220265997937965, 6.337630392226745, 6.480386992893752, 6.648273194325132, 6.840886645465069, 7.057701711871133, 7.298070366903937, 7.561209375073528, 7.846175195093682, 8.151827771866275, 8.47678436549483, 8.819364673106282, 9.177528703870308, 9.548809408648173, 9.930242756461217, 10.318298872988903, 10.708819012719555, 11.096964456613925, 11.477184829935553, 11.843214660125513, 12.188107991230593, 12.504321231601965, 12.783853734557788, 13.018453480931603, 13.199891277170863, 13.320300896913364, 13.372574730368857, 13.350795150466652, 13.250671487820675, 13.069946797285459, 12.808729434888711, 12.469708266299655, 12.058214477478245, 11.582107013784263, 11.051477261193215, 10.478189616529185, 9.875295443037706, 9.256373900726262, 8.634861662119189, 8.023430685553981, 7.433467107978208, 6.8746854076419135, 6.354894486572127, 5.879913692277798, 5.453621641820486, 5.078110683017925, 4.753915126279293, 4.480281734607437, 4.255454171539994, 4.076949502269925, 3.9418106078216995, 3.8468251339918753, 3.788706399089355, 3.7642359411931, 3.770370066573786, 3.8043144214551754, 3.8635714408569197, 3.9459656014383375, 4.0496512177276385, 4.173106810374693, 4.315119930260697, 4.474764693540597, 4.651374605161896, 4.844512206966007, 5.053936511243635, 5.279568869666084, 5.521457499986742, 5.779740646858591, 6.054607932412361, 6.346259484947922, 6.654862108115623, 6.98050171957203, 7.323131273548786, 7.682513412239231, 8.058157224618517, 8.449248762683716, 8.854575387642255, 9.272444595629235, 9.700598925347432, 10.136129533136442, 10.575392500615235, 11.013933643422684, 11.446429478337695, 11.866654070826083, 12.267483345546827, 12.64094960122716, 12.97835973913052, 13.270489379002957, 13.507861848182703, 13.681114993641387, 13.781448391052441, 13.801137341725042, 13.734078672050073, 13.576328596242405, 13.326577213681528, 12.986503156622051, 12.560953705034201, 12.057909770230474, 11.48821801269173, 10.865097305686378, 10.203460980341617, 9.519117149610178, 8.827927219774345, 8.14500503620796, 7.484029452497364, 6.8567232763873935, 6.272526018645756, 5.738462271006285, 5.259185421802834, 4.837161813275795, 4.472953165398914, 4.165554722091173, 3.912751745854695, 3.711464704376816, 3.5580624721277276, 3.4486313465559006, 3.379194720465845, 3.3458836371864047, 3.3450617831598737, 3.3734108579939233, 3.4279827739996844, 3.506225429354756, 3.605988155430371, 3.7255119557416214, 3.863409269331106, 4.018636563427659, 4.190462461125001, 4.378433335620779, 4.582337634432849, 4.802169616277314, 5.038092910308967, 5.290403697075087, 5.559493190473333, 5.845808774956768, 6.149812980806142, 6.471939328994857, 6.812543935449844, 7.1718517384925295, 7.549896207679393, 7.946451496464437, 8.360956225597942, 8.792428477581963, 9.23937220092134, 9.699676119768815, 10.17050751052633, 10.648204729327363, 11.12817472870078, 11.604803936747931, 12.071393812938702, 12.520135245361836, 12.942138293563964, 13.327535402397805, 13.665675933622945, 13.945426920328657, 14.155588809503339, 14.285423579558609, 14.325279378352638, 14.267276783901533, 14.10600344552381, 13.839148109344945, 13.467995935255347, 12.997708624897918, 12.437328664131186, 11.799476851852642, 11.099748698417013, 10.355860733395277, 9.586631220306106, 8.810904282859239, 8.04653041682297, 7.309502510311472, 6.613317409835636, 5.968596693239439, 5.382964105651814, 4.861147289836914, 4.405252594715973, 4.015154101357105, 3.688939544641613, 3.4233657790333716, 3.214286535818232, 3.057029676968625, 2.9467115447676933, 2.878485351315052, 2.847726569211046, 2.8501623929967645, 2.8819540486989834, 2.939741221804585, 3.0206573241868564, 3.122323332588892, 3.2428266585914116, 3.38069021202402, 3.5348356585443144, 3.7045437731740574, 3.889413921253372, 4.08932394916547, 4.3043911750718635, 4.534934687535958, 4.78143877228967, 5.0445169753666335, 5.324876052497288, 5.623278835566084, 5.940504859881381, 6.277307432122212, 6.634365697269382, 7.012230156185764, 7.411260018579044, 7.83155085871713, 8.272851163678492, 8.734466702558144, 9.21515222840946, 9.712990943800179, 10.22526357592591, 10.748310645190408, 11.277394205659332, 11.806568403185006, 12.328571980081252, 12.834760018261004, 13.315096404322441, 13.75823130769745, 14.151690035795756, 14.482196901538705, 14.736151806433261, 14.90026447181349, 14.962331861740108, 14.912118844678423, 14.742277459619283, 14.449209458017116, 14.033765440358598, 13.501667538945028, 12.863565020391109, 12.134670644836149, 11.33398292243347, 10.483160548769794, 9.60517190294972, 8.72287437596666, 7.857685161604145, 7.028481300193183, 6.250822027854076, 5.5365309414775385, 4.893623501562566, 4.326524182242224, 3.8364947332961945, 3.422188617811016, 3.0802540493804194, 2.8059236329507646, 2.593547747739792, 2.4370470307901213, 2.3302742580776057, 2.267287279582794, 2.242541474582371, 2.251013892022829, 2.2882724060365423, 2.3505027294898353, 2.434504682937155, 2.537667217408761, 2.6579300010686246, 2.7937371802996567, 2.9439877857181815, 3.1079858106906397, 3.285391886943932, 3.47617776055559, 3.680584139667396, 3.8990818789741954, 4.132336335324222, 4.381174193030404, 4.64655193674435, 4.929524939647611, 5.231215941112887, 5.552781515270572, 5.895374945378502, 6.260103751768365, 6.647979949226204, 7.059860949916019, 7.496378918662359, 7.9578563587564135, 8.444205820676434, 8.954811963100367, 9.488394910762526, 10.042854758459505, 10.615099455578072, 11.200860134975533, 11.794502093383123, 12.388843797872282, 12.975004107224393, 13.5422985360006, 14.078221260059214, 14.568545133496414, 14.997581715291206, 15.348636439401803, 15.604685172347208, 15.749277213371876, 15.767638343891388, 15.647906165646425, 15.382389551131013, 14.968700334738568, 14.410589206191421, 13.718324479625052, 12.90849609512826, 12.003205402411323, 11.028695459370532, 10.013575556922605, 8.986859732716926, 7.976067294300848, 7.005609199719339, 6.0956206235151145, 5.261313282548407, 4.512835874542455, 3.8555628737462575, 3.29069244699674, 2.8160240342129126, 2.426798004159994, 2.1165055969026456, 1.8776081194666896, 1.7021329696509968, 1.5821367743366221, 1.510042129011521, 1.4788634619066918, 1.4823420253367618, 1.5150100908514132, 1.572203245486063, 1.6500365113144588, 1.7453572993380657, 1.8556847447672984, 1.9791429586740579, 2.1143932183296243, 2.2605685261574324, 2.4172127476283647, 2.584225430029516, 2.7618128800586335, 2.9504454281656276, 3.1508205268970446, 3.3638310520861827, 3.5905379941538946, 3.83214660486844, 4.08998490067394, 4.365483346526279, 4.660154407468031, 4.975570473183155, 5.313338532395231, 5.675069707462306, 6.062341529132023, 6.476650520622914, 6.919352361227412, 7.391586628188255, 7.894182793107066, 8.427544056539716, 8.991505689995853, 9.585165130191863, 10.206682022403987, 10.853048410845712, 11.519832156256705, 12.200903496693092, 12.888155594043395, 13.571246933124131, 14.237396080567764, 14.871275845175411, 15.455062952440493, 15.968707400306332, 16.390486344488007, 16.69789372879777, 16.868890030889222, 16.883483472411136, 16.725548704918015, 16.38470913863725, 15.858039667803515, 15.151306578711285, 14.279474125518837, 13.266288794019555, 12.142892124703327, 10.945587972656956, 9.713053505808485, 8.483388464638416, 7.291413752515503, 6.166557924613331, 5.1315335902701475, 4.20184614686341, 3.3860408923104606, 2.6865025149926702, 2.1005884927078244, 1.6218903869889627, 1.2414602632294676, 0.948894709833175, 0.7332205482330758, 0.5835677044979284, 0.48964249673127813, 0.4420302859779277, 0.43236149817795794, 0.4533757015013366, 0.49891347956929916, 0.5638608601120536, 0.6440655929635039, 0.736239159572809, 0.8378544415292186, 0.9470456361844364, 1.0625146148839686, 1.1834460298117162, 1.3094323123788632, 1.4404088418356675, 1.57659902280236, 1.7184686474475808, 1.8666887588695318, 2.0221061005251397, 2.185720215859575, 2.358666263545105, 2.542202632832453, 2.737702462319941, 2.9466481950743795, 3.170628291815367, 3.411335210819007, 3.6705637042342545, 3.9502083829642496, 4.252259359514402, 4.578794561314844, 4.93196703993729, 5.313985229514944, 5.727083663135727, 6.173481093645637, 6.6553223596532565, 7.174599541667638, 7.733047201234369, 8.332005840462799, 8.972246976091986, 9.653753116175338, 10.37544641285435, 11.134861311915698, 11.927759979689588, 12.747695075226895, 13.585535612009755, 14.428981101638904, 15.262115138724988, 16.06506590017946, 16.813872182704962, 17.48067501161874, 18.034370302929194, 18.441848254659238, 18.66990589026249, 18.687826417213078, 18.470484404250683, 18.00166242811206, 17.2771008851799, 16.30669651397348, 15.115288284120721, 13.74165165774948, 12.235651768544097, 10.65389999899513, 9.0546041131937, 7.492470603899366, 6.01446501154986, 4.656983759032178, 3.444639980311233, 2.39052917384945, 1.4976092077811585, 0.7607356513109481, 0.16891956319613724, -0.2925240092771543, -0.6401418569480796, -0.89091306266074, -1.0612284900171385, -1.1662325503110038, -1.2194563567831835, -1.232668031560914, -1.2158732628684439, -1.177411574649259, -1.1241075059868384, -1.0614472628027085, -0.9937614167462763, -0.9244014058644799, -0.8559028225130969, -0.7901319082988872, -0.7284141058044782, -0.6716448620119568, -0.6203837475213163, -0.5749333727552889, -0.5354047967235515, -0.5017711139474482, -0.4739108755902687, -0.4516428747625897, -0.43475368830156197, -0.4230192174084142, -0.41622132074735735, -0.41416049111367215, -0.4166653935764665, -0.42359996283307944, -0.4348686462830315, -0.4504202927171613, -0.4702510891380573, -0.4944068933264159, -0.5229852388870004, -0.5561372441611188, -0.5940696160501794, -0.637046903961831, -0.6853941398115496, -0.7394999652556733, -0.7998203500873968, -0.866882988348206, -0.9412924396704867, -1.0237360902834707, -1.1149910004315515, -1.215931689258533, -1.3275389249384573, -1.4509095542117338, -1.5872674052719922, -1.7379752797909642, -1.9045480044180139, -2.0886664833696824, -2.2921926193213604, -2.517184881865132, -2.76591414006026, -3.0408792256092165, -3.3448214286835785, -3.680736848551507, -4.05188448715726, -4.461788798252002, -4.914232317568118, -5.413234986552204, -5.9630140760469565, -6.567916449650575, -7.232314500265451, -7.960450961537487, -8.75621736393139, -9.622845152873168, -10.562485744734824, -11.57565241145902, -12.66049587579436, -13.811890722073136, -15.02031994716034, -16.27057168532448, -17.540305153071788, -18.79861398825107, -20.004810549692227, -21.107783216220284, -22.046394507064253, -22.751485002923133, -23.150012038818158, -23.171624229290984, -22.757465537151948, -21.87023552489794, -20.5036759768154, -18.68905947600315, -16.496333135382653, -14.028592415218727, -11.410344384197641, -8.771928169926644, -6.233650732767387, -3.893115291839047, -1.8179728181511892, -0.044533396653203106, 1.4188639436257273, 2.5856312439983107, 3.4837958380760843, 4.149397696350282, 4.621219458556514, 4.937085286873414, 5.1315982768688215, 5.235011661383695 ], "z": [ 3, 3.22444192187219, 3.6334129345607877, 4.205766581749414, 4.938893291961379, 5.843438379505869, 6.939594109030579, 8.254157898651815, 9.817684322437474, 11.661154796269889, 13.811688735435059, 16.286978924452075, 19.088425004040285, 22.19343064760006, 25.54802572430847, 29.061759065885077, 32.607370170644444, 36.027610049923084, 39.150298267783306, 41.810238082330436, 43.8737001995017, 45.2592109001205, 45.948718460569836, 45.98610048996233, 45.46418236808272, 44.50491158658681, 43.2385644477676, 41.78675502106189, 40.25163576351316, 38.711344809079584, 37.220281943976175, 35.81231086556674, 34.505201720716116, 33.30513733726166, 32.21063440753659, 31.21562959068684, 30.31172710991422, 29.489726443760258, 28.74058848345478, 28.055993389170194, 27.428618451077316, 26.852234609621746, 26.321692941802695, 25.832850229279114, 25.382465799955963, 24.96808968350325, 24.587954136668696, 24.24087411992536, 23.926159774875696, 23.643540967054395, 23.393102832607326, 23.17523056687955, 22.990561276258887, 22.839940549969537, 22.72438140799236, 22.64502331098368, 22.603088978673206, 22.599836977135347, 22.636508166288106, 22.71426437308129, 22.834118098489082, 22.99685238849286, 23.202931081998088, 23.452400211996885, 23.74478277444114, 24.0789703390886, 24.453116627423743, 24.864539764954312, 25.309641449688094, 25.783852418489253, 26.28161410312848, 26.796405925460437, 27.32082592209057, 27.846730063225348, 28.36542905236471, 28.867939733039005, 29.345278424526402, 29.788780333200236, 30.190423563228563, 30.54313426305471, 30.84104938844935, 31.079716684683934, 31.256217244224437, 31.369203450896652, 31.418853399316724, 31.406750517600727, 31.335703434349703, 31.20952498765445, 31.032790594837152, 30.810595027631816, 30.548324050221343, 30.251452366118514, 29.925376174753783, 29.575283201237987, 29.206059951370992, 28.822233196774782, 28.42794103731802, 28.026927781358772, 27.622557268265407, 27.2178391380778, 26.815463496654544, 26.417840257183425, 26.027140271776666, 25.645336033419248, 25.274240769690397, 24.915544795965086, 24.570848790304183, 24.24169376780487, 23.929587737501578, 23.636029109418637, 23.362526925840953, 23.110617950504597, 22.881880556356126, 22.677945234043648, 22.50050138661952, 22.351299907907112, 22.23215096865178, 22.144915873758233, 22.091492274805198, 22.073791421065902, 22.093706011243455, 22.153067507873477, 22.253591573042936, 22.396810435848668, 22.58399185555788, 22.816044415419444, 23.093409998980324, 23.415947291686628, 23.78280722022771, 24.19230936810028, 24.641825262814493, 25.127678940808337, 25.64507633775805, 26.18807553280148, 26.749610009652354, 27.321575070265492, 27.894984016458203, 28.4601954074811, 29.00720584657693, 29.525995245580837, 30.00690421735481, 30.441017314618573, 30.820522792661766, 31.139019952199632, 31.391748779748646, 31.575724096417673, 31.689766675615154, 31.734433650671495, 31.711860544831016, 31.625534816117238, 31.48002504906953, 31.280690897854125, 31.033397090172784, 30.74425036044733, 30.41937258037182, 30.06471785224157, 29.68593592212901, 29.28827987779701, 28.876553544984155, 28.455091972107105, 28.02776780090215, 27.598016577927755, 27.168874758737665, 26.74302518372355, 26.322845898305953, 25.910459317395542, 25.507779642919772, 25.116557257096332, 24.738419389065633, 24.374906798566347, 24.027506530732683, 23.697680862976018, 23.386892753943087, 23.096627970922736, 22.828414090541436, 22.583836412194383, 22.364550646437852, 22.172292098919147, 22.008880877611283, 21.876222398342616, 21.776302257833567, 21.711174308555407, 21.682940560012838, 21.693721330040557, 21.74561395592351, 21.84063835172673, 21.980667817426113, 22.167343865914372, 22.40197444039168, 22.685415905631555, 23.017940449388522, 23.39909260631712, 23.827540596769598, 24.30093075256916, 24.815756063992264, 25.36725218390395, 25.94933575462453, 26.55460062063435, 27.174386115522395, 27.798927802713994, 28.417595626260177, 29.019215793240427, 29.592463627951915, 30.126304643711965, 30.61045290953441, 31.035810453618303, 31.394850452327066, 31.681911289336895, 31.89337661218684, 32.027729418425785, 32.08548130685454, 32.06899100102758, 31.982196482778697, 31.83029092079348, 31.61937430318017, 31.356110270787514, 31.047411760978086, 30.700172382280897, 30.32105250477949, 29.916322639654197, 29.491761117029636, 29.05259958470986, 28.603507568358165, 28.14860723167935, 27.691509358055068, 27.235362959290985, 26.782912265105235, 26.336556229812487, 25.898407240893363, 25.47034671318768, 25.054076317978687, 24.651164277062286, 24.263086647981346, 23.891263842381807, 23.53709278451693, 23.201975170688637, 22.88734226567774, 22.594676577081437, 22.325530606333622, 22.081542719466615, 21.86444996061683, 21.676097428808088, 21.51844356839145, 21.393560465997133, 21.30362801347144, 21.250920398147745, 21.23778318952174, 21.26659897923943, 21.339739526548488, 21.459502060145283, 21.628027609913, 21.847199859341888, 22.118523363379005, 22.442981967167455, 22.82087859511659, 23.25166210329695, 23.733747728730844, 24.264342173968732, 24.83928761015784, 25.452941739468912, 26.098113202774208, 26.76607221933395, 27.44665350016564, 28.1284636334928, 28.799197088526483, 29.44605249919962, 30.056229713050133, 30.617474119226472, 31.118626365325063, 31.5501293433506, 31.90444679153546, 32.17635486435433, 32.36308256566635, 32.46429369264367, 32.48192114302535, 32.419879360202124, 32.28369124933867, 32.080070418105244, 31.81649822964732, 31.500828819747515, 31.140946591582033, 30.744490344381727, 30.31864930354061, 29.87002843112763, 29.404575303854603, 28.927557541128557, 28.443579220356366, 27.956624581689756, 27.470119063743184, 26.986999462957414, 26.509786885347008, 26.040658261141456, 25.581513437470296, 25.13403640618671, 24.699750014003463, 24.280064209479388, 23.87631826830956, 23.489817662626294, 23.12186630316706, 22.773794900311483, 22.446986008213415, 22.14289626630655, 21.863076091916273, 21.609186923289794, 21.383015840004504, 21.18648714472423, 21.02167020163017, 20.890782632521468, 20.796187203713984, 20.740381002924266, 20.725974781399447, 20.75565984092461, 20.832159788041363, 20.958164503150424, 21.136243045476927, 21.368733061510227, 21.65760517757992, 22.004301277627988, 22.40954863736345, 22.87315405283684, 23.39378562525043, 23.968754875818192, 24.59381538678907, 25.2629995610783, 25.9685176160218, 26.700744863368296, 27.44832075510966, 28.19837735573816, 28.936904726442986, 29.649245953637728, 30.320697172327474, 30.93717223770243, 31.485876636866205, 31.9559291320629, 32.33887118524004, 32.62901375709088, 32.82359133334024, 32.92271555999988, 32.92914482326236, 32.84790604825934, 32.68581782323768, 32.450968582593816, 32.15220002618688, 31.798636571697205, 31.399288988465106, 30.96274680835056, 30.49696229293319, 30.00911950269136, 29.50557613227466, 28.99186281678286, 28.472724511650718, 27.95218931810116, 27.433652950950158, 26.91996933699163, 26.413540674087088, 25.916402479030282, 25.430301110001103, 24.956762636611934, 24.497152979858043, 24.052729865230358, 23.624687513378255, 23.21419515471609, 22.82243046746675, 22.450608948616665, 22.100010080479336, 21.772000974348032, 21.468057954553856, 21.18978631771895, 20.938938253184926, 20.717428611246127, 20.527348066404212, 20.370972435215045, 20.250767214543718, 20.169385399789245, 20.129656376954976, 20.13456326911783, 20.187205637709898, 20.290743856959622, 20.448321241306623, 20.662960182888433, 20.937428629066726, 21.27407425102766, 21.674625449396707, 22.13996071246795, 22.669852227481687, 23.26269361384233, 23.915228711749595, 24.622303514502892, 25.376670273027703, 26.16887655878473, 26.987273563410106, 27.818174078637988, 28.646181157640456, 29.454692756774744, 30.22656657864003, 30.944904683506618, 31.593896904531714, 32.15964406055393, 32.63087839062497, 32.99950538472593, 33.26091182061526, 33.41401458717868, 33.46105863010564, 33.40720224940709, 33.25995053584705, 33.02850816721799, 32.72312141619204, 32.354468337456986, 31.933139286519257, 31.46923114248276, 30.97206153758305, 30.449995731160364, 29.910370150269745, 29.35949207502276, 28.80269427605255, 28.244425127619436, 27.68835793202764, 27.137506953959257, 26.594341297902997, 26.060890979495635, 25.53884210756338, 25.029620003212028, 24.534460415001657, 24.054469788119057, 23.590676012469537, 23.144071238661734, 22.71564834462569, 22.30643249724254, 21.917509078486155, 21.550049013456135, 21.20533230350497, 20.884770321660806, 20.589927183228966, 20.32254027121072, 20.084539611367642, 19.878065647392397, 19.705484464369736, 19.569399172593346, 19.472655641729265, 19.41834024877702, 19.40976661396589, 19.45044774445234, 19.544049242707317, 19.69431864009062, 19.904985519358313, 20.179626995489635, 20.5214937821425, 20.933293256765133, 21.416928387698192, 21.97319654691972, 22.60145500661176, 23.29927158363511, 24.06208331782404, 24.882897871485486, 25.752079325996082, 26.65726470452233, 27.583457672163576, 28.513335467357457, 29.42779000052217, 30.306694181346675, 31.12985386014288, 31.878071298728464, 32.534219115045474, 33.084210341794915, 33.51775544992918, 33.82882135019783, 34.01574783890342, 34.08102484480236, 34.03077824167851, 33.874045792102926, 33.621941738923034, 33.286807076508225, 32.88142731075421, 32.41837486336139, 31.90950662832423, 31.36562241833614, 30.796271970442866, 30.209686103235494, 29.612802782569574, 29.011358645515188, 28.41002010165266, 27.812532750871803, 27.221873730819294, 26.640396349109253, 26.069961050498158, 25.51204971078818, 24.967862722070755, 24.438399874761295, 23.92452687701183, 23.42702973565336, 22.946659337080806, 22.48416841192561, 22.040342844473642, 21.616029031692907, 21.212158607606753, 20.8297717228359, 20.47003966411323, 20.13428740764681, 19.824016465068613, 19.54092812410738, 19.28694692735007, 19.06424393729172, 18.87525897391413, 18.72272057984954, 18.60966195655438, 18.53943044243095, 18.51568737131754, 18.542394249087593, 18.623780225875365, 18.76428482391559, 18.968468953915284, 19.240886650846864, 19.585909544037985, 20.007497237144612, 20.50890831925249, 21.09235099895158, 21.758578185541285, 22.506440844615465, 23.33242467256362, 24.230208333372204, 25.19029486259372, 26.19978064413866, 27.24232527718703, 28.298391146959467, 29.34579243333622, 30.360567205018707, 31.318138084067012, 32.194676408046966, 32.96853722778841, 33.62160834609258, 34.140404734014766, 34.51677667090877, 34.74815043575882, 34.83729217114335, 34.79165468801895, 34.622421445973394, 34.34338920801619, 33.96983077572393, 33.51745667849845, 33.001556545039406, 32.43636080827219, 31.83462676636957, 31.20742679586625, 30.564100779654456, 29.91232900592189, 29.258283527542805, 28.606822128429787, 27.961697101746754, 27.325759363562014, 26.701145697594594, 26.089442747870898, 25.491825648466516, 24.909171984218116, 24.342153449777236, 23.79130846503728, 23.25709918904916, 22.739956276066554, 22.24031438343642, 21.758641027819728, 21.295460950094938, 20.85137774450193, 20.42709414938603, 20.023432092889, 19.64135332901079, 19.281981291260774, 18.946624591874045, 18.636802415391514, 18.35427186648453, 18.101057100512527, 17.879479789861858, 17.692190116380267, 17.542197005625574, 17.432895704327787, 17.368090030713102, 17.35200560643506, 17.389289211294745, 17.4849880094556, 17.644500737257754, 17.87349138255246, 18.17775453339724, 18.563020434054483, 19.03468786956505, 19.597474743094697, 20.254980565313726, 21.009162160647573, 21.859736469955664, 22.8035398657325, 23.83389425198512, 24.940051605462553, 26.106808854491128, 27.314396943750914, 28.538742849812948, 29.752181512258886, 30.924641131717788, 32.02525664751543, 33.02428124552736, 33.89509235201989, 34.61604175003519, 35.17190020425834, 35.554699579710295, 35.76387186322871, 35.80570128012174, 35.692212689218465, 35.43969508335387, 35.06708487245163, 34.59441613937231, 34.04149310264316, 33.42687481347658, 32.76719779362106, 32.07681308157854, 31.367683532066188, 30.649472946792308, 29.929760240692513, 29.214320618220665, 28.507429094819436, 27.812155438530354, 27.13063140112427, 26.46428096845131, 25.814010819148493, 25.180362798528172, 24.563632631751325, 23.963960133525546, 23.381396460344277, 22.815953523722715, 22.267640087810324, 21.73648830794454, 21.22257377449814, 20.72603147504816, 20.24706953896981, 19.78598219753999, 19.343163053533647, 18.919119502450396, 18.514489020881353, 18.130057748358883, 17.76678194053266, 17.42581260735927, 17.108523649997807, 16.81654373387518, 16.55179199525606, 16.316517508302248, 16.113342175288786, 15.945306302535615, 15.81591558352511, 15.729187358992556, 15.689693072266634, 15.702592394083371, 15.773652683415358, 15.909245292239314, 16.116307344170473, 16.402255318382416, 16.774833225502242, 17.241875262378905, 17.81096422022709, 18.488962937747335, 19.28140741156505, 20.19175570394677, 21.220509097904866, 22.36424652496726, 23.614652302287293, 24.957650360516887, 26.372805562382666, 27.83316704378263, 29.30572709736077, 30.752619867459497, 32.133086544624526, 33.40609653758452, 34.53336208931973, 35.482356724602234, 36.228896308628734, 36.7588768347925, 37.068910615726644, 37.16580576015273, 37.06504428417766, 36.78857748733863, 36.362328270543465, 35.813771943843335, 35.16987705192398, 34.45556558028252, 33.69273372719624, 32.8997838328039, 32.09156492593927, 31.279600054164618, 30.472485381863052, 29.676366401191377, 28.895422410815065, 28.132315305127005, 27.38857891547075, 26.664940105253613, 25.961572719567066, 25.278291041469398, 24.61469211207738, 23.970256832468465, 23.34441916589149, 22.73661156602961, 22.146293327616892, 21.572967156269307, 21.016188001463888, 20.475567145648935, 19.950773708702062, 19.44153508549155, 18.94763735139257, 18.468926346980137, 18.005309924148865, 17.55676169771639, 17.12332656902753, 16.70512825878966, 16.30237909493641, 15.915392303846833, 15.544597172353916, 15.190557393389593, 14.853993084445047, 14.53580696814685, 14.237115286222789, 13.9592840919277, 13.703971565438076, 13.473177006296286, 13.269297100012079, 13.095189822214829, 12.954246086304758, 12.850468783272083, 12.788557487886047, 12.773997104104238, 12.813144991448029, 12.913310499977445, 13.082815885640633, 13.331023845199281, 13.668310854579252, 14.105958840367677, 14.655930383899378, 15.330485765597789, 16.14159563856912, 17.100103951809512, 18.214606285714414, 19.490034241968985, 20.925982150784826, 22.51488451467878, 24.2402363954313, 26.075158873185458, 27.981684795642543, 29.911171897061138, 31.806174741872844, 33.60390623986739, 35.24109712456445, 36.659683797452836, 37.81244093542496, 38.66755300561057, 39.211258241039964, 39.44810727023646, 39.39890958987758, 39.09692789844518, 38.58317294317091, 37.90168320322648, 37.09549003942964, 36.20366943799196, 35.25958001425076, 34.29016114865164, 33.316038919940716, 32.35215682151653, 31.40867743695607, 30.491961985305224, 29.60549990856888, 28.750718067829702, 27.927641340510927, 27.13540426840684, 26.372629039518436, 25.63769195064839, 24.92890193798631, 24.244612916580763, 23.583288365676726, 22.94353298750842, 22.324102758345656, 21.7239016651953, 21.141971031088115, 20.577475430671026, 20.029687686143465, 19.49797464457517, 18.981784539204234, 18.480636384740773, 17.994111537025457, 17.521847396057403, 17.063533147941136, 16.618907419291208, 16.18775773046747, 15.769921669448776, 15.36528975719424, 14.973810032961245, 14.595494451185314, 14.23042724929987, 13.878775518163158, 13.540802284284712, 13.21688249878131, 12.907522409235526, 12.613382902889722, 12.335307500509153, 12.074355802738218, 11.831843277897814, 11.60938839029607, 11.408968137240882, 11.232983083264156, 11.08433291630808, 10.966503346831391, 10.883664754801966, 10.84078224430377, 10.84373546882715, 10.899444853467774, 11.0159978164554, 11.202764601678329, 11.47048768841466, 11.831321312274984, 12.298787741997018, 12.887605867666181, 13.613335631909418, 14.49177022216621, 15.538001400288904, 16.76508944440156, 18.182292683174037, 19.79286681256092, 21.591537603279107, 23.561885179602555, 25.674043005758488, 27.88327007229899, 30.130041497284534, 32.34223925318787, 34.43973829728805, 36.34118310572959, 37.97211783573737, 39.27308633717796, 40.20609248692439, 40.75806449220057, 40.94066381433505, 40.78668263574723, 40.344052449549075, 39.668881889189755, 38.8188833502568, 37.84815041111345, 36.80372119385132, 35.72389771971769, 34.63798963582563, 33.56703139629964, 32.52503567377015, 31.52043823392384, 30.55749996780056, 29.63753484494404, 28.7599093082545, 27.922808966968695, 27.123796611070045, 26.360197592711494, 25.629350875734005, 24.92876070379897, 24.256178127932873, 23.60963548788247, 22.987451196118887, 22.388217303187854, 21.81077853862181, 21.25420854926238, 20.71778699733972, 20.20097966908126, 19.703422772383, 19.224911972658045, 18.765396343977617, 18.324977235270293, 17.90391195466423, 17.50262221371142, 17.12170729265877, 16.761961960577185, 16.424399249949193, 16.110278231091936, 15.82113695020788, 15.558830661879641, 15.325575381602462, 15.12399657861393, 14.95718248845883, 14.828740977534393, 14.742858116527742, 14.704355499496401, 14.718741816937964, 14.792252159307925, 14.931865978265515, 15.145291211188352, 15.440898197610554, 15.827584262657322, 16.314543129645145, 16.910913084913197, 17.625275844204797, 18.464982052300545, 19.435290256887296, 20.538327050068624, 21.771907360015195, 23.12830028943243, 24.593078799133124, 26.144247983873672, 27.75188595705983, 29.378535583903734, 30.980536803956042, 32.51036025366435, 33.91982854749875, 35.16389225346351, 36.20444822943447, 37.013601539517154, 37.57582678812037, 37.88868115912601, 37.9620102941428, 37.81588064551039, 37.477686647166934, 36.97896589128356, 36.35240741709569, 35.629400451040134, 34.838296390996916, 34.00339904535821, 33.14458650028601, 32.27741071953873, 31.413509234750876, 30.56118234448367, 29.726022848687844, 28.91152176595234, 28.11960552026759, 27.351084663792637, 26.606010965663728, 25.883949799811745, 25.184179790011907, 24.50583334043711, 23.84799122111572, 23.209742815606457, 22.590221642675438, 21.988623891963513, 21.40421563823214, 20.83633310225555, 20.28437889889006, 19.747816356558452, 19.226163311162942, 18.71898608041551, 18.225894223434384, 17.746536298263308, 17.28059671886495, 16.827793743353197, 16.387878587079026, 15.960635634817862, 15.545883747684686, 15.14347867999768, 14.753316653728225, 14.375339181422369, 14.009539271890459, 13.655969205760634, 13.314750124620014, 12.986083741859797, 12.670266556603188, 12.367707032698142, 12.078946301327116, 11.804683047928446, 11.545803348005007, 11.303416345439375, 11.078896793506688, 10.873935579727732, 10.690599454702076, 10.531401226854456, 10.399381623318646, 10.298203877925694, 10.232261545046441, 10.206799357880048, 10.228045600547244, 10.303352323531279, 10.441336578555351, 10.652011315208144, 10.946888189308819, 11.339025583266004, 11.842984770250151, 12.47464339490742, 13.250801610927516, 14.18850212730803, 15.30397962181405, 16.61115981183735, 18.11965942632141, 19.83230300572461, 21.742285694072763, 23.830273096537642, 26.0619202300212, 28.386472608714673, 30.737191998100943, 33.034243371316904, 35.19030038572834, 37.118505410819964, 38.74167669000579, 40.00107411417149, 40.86288727291737, 41.321042915004085, 41.395840744644325, 41.12897825684004, 40.57633244463877, 39.80016539214637, 38.86220288833699, 37.818491958289876, 36.71632936080548, 35.593070671579326, 34.47636009731353, 33.38525182889155, 32.33175634784104, 31.32246859649285, 30.360064699657137, 29.44456103273533, 28.574304696433096, 27.746709725118663, 26.958775874448506, 26.207434089453436, 25.48976133609027, 24.803101748113065, 24.14512374923819, 23.513835943689642, 22.90757831324137, 22.3250003848157, 21.76503421750149, 21.22686721879639, 20.709917863145606, 20.213816032339608, 19.73838880981138, 19.28365200069495, 18.84980745283509, 18.43724600276128, 18.046555893534723, 17.6785365001126, 17.334217234435883, 17.014881525692942, 16.722095763759043, 16.457743035663196, 16.22406134826858, 16.02368579426282, 15.85969370524611, 15.735651300638207, 15.655659483351231, 15.62439532988331, 15.647144354790061, 15.729816706486547, 15.878938129731138, 16.1016037759462, 16.405379919869198, 16.798135645583386, 17.287784142450015, 17.881912235552623, 18.58727860321481, 19.409167613750103, 20.350597109231686, 21.41140084417558, 22.587234169572344, 23.86859090642664, 25.23995974519919, 26.679286068206316, 28.15792465402501, 29.64125213259363, 31.090053673428173, 32.46268286624047, 33.71785019608237, 34.81773872122998, 35.73102793603315, 36.435369915953046, 36.91892883196161, 37.180759198872835, 37.23001812239504, 37.084214089164746, 36.76684739793632, 36.304845654272775, 35.72615930473924, 35.05777773563706, 34.32429864242609, 33.54706665879684, 32.74381298345421, 31.92868264350611, 31.11252390558177, 30.30332589748167, 29.50671396847074, 28.72643907211648, 27.96482205164132, 27.223133098037533, 26.501900674319284, 25.801152946098075, 25.120599671012755, 24.45976446125068, 23.818077555739997, 23.19493842280708, 22.589756052182306, 22.00197347116843, 21.431081490643617, 20.876625524449175, 20.338208227450075, 19.815489993135973, 19.308188668535667, 18.81607943105027, 18.33899545557663, 17.87682979785745, 17.42953879600054, 16.99714723112781, 16.579755429517842, 16.177548585323372, 15.790808519232057, 15.419928184906585, 15.065429298776374, 14.727983525544285, 14.408437729716447, 14.107843869769287, 13.827494178720166, 13.56896231596161, 13.33415118974108, 13.125348098574845, 12.945287712092645, 12.797223141584144, 12.685004884731905, 12.61316668498957, 12.587016168083903, 12.612726640874119, 12.697423545869775, 12.849256478654615, 13.077442734467798, 13.392263085063531, 13.804983651863777, 14.327670205724315, 14.972853569509473, 15.75299834588166, 16.679728026595534, 17.762762329060827, 19.00854777107946, 20.418601050645137, 21.987649728047995, 23.7017477594793, 25.53663874686868, 27.45674869241309, 29.415229234146246, 31.35543693767999, 33.21405985619539, 34.925797289525896, 36.42910423508019, 37.67215122893981, 38.617951510303186, 39.24768179951499, 39.56158638514831, 39.577397450889016, 39.326747636560455, 38.85041898048336, 38.19337183834035, 37.40034794586453, 36.51254363566235, 35.565522708096786, 34.588278311738954, 33.60319832456388, 32.62663721839643, 31.669818192774628, 30.739849384914837, 29.840707750396067, 28.974106312781746, 28.140208853802374, 27.338187270564152, 26.566635836115008, 25.823864958071837, 25.108099160902597, 24.41760258384873, 23.75075198608251, 23.10607335096567, 22.48225446833513, 21.878142644261892, 21.292734032635856, 20.72515899919416, 20.17466641105736, 19.64060861990458, 19.12242814877865, 18.619646581610944, 18.131855837893998, 17.658711832509542, 17.199930435973965, 16.7552856181123, 16.324609675245952, 15.907795483789227, 15.504800775935598, 15.115654498951391, 14.740465393377566, 14.3794330042017, 14.032861419197603, 13.701176117546163, 13.384944403795629, 13.084900010338878, 12.801972486700368, 12.537322255040309, 12.29238208138689, 12.068905950946716, 11.869026307967001, 11.695320583008094, 11.55088778935686, 11.4394357878316, 11.365378818546175, 11.333944698236348, 11.351288841461109, 11.424610577594535, 11.562263777428358, 11.773849446814818, 12.070271890648332, 12.463732633118259, 12.967624801048283, 13.596285482974524, 14.364544795634826, 15.287010035095806, 16.37701862795533, 17.64520698252613, 19.097677996243377, 20.73381501274305, 22.543890600271233, 24.506754227968102, 26.588028879952198, 28.739362759280414, 30.89930804890244, 32.99625751511835, 34.95353193552469, 36.69620563920405, 38.158704496277785, 39.29181865753596, 40.067727716414346, 40.482019201319694, 40.55239204064363, 40.31452635157931, 39.81619114589519, 39.11087794922576, 38.252087581905556, 37.288992419620364, 36.26373631594668, 35.210257313107505, 34.15429776679004, 33.11419519851063, 32.102079451428736, 31.125190975211314, 30.187131472724246, 29.288945153541, 28.429991657165754, 27.608612253804708, 26.822613026050846, 26.06959773445042, 25.347184193124395, 24.653134665882884, 23.985425649881776, 23.342277036804173, 22.72215562808295, 22.123763778768467, 21.54602066314003, 20.988041119292774, 20.449115179860314, 19.92869018179257, 19.426356447904013, 18.94183700999996, 18.474981521745068, 18.025764358520977, 17.59428684346548, 17.180783548496684, 16.785632682089418, 16.40937064337271, 16.052710909953166, 15.716567508879603, 15.402083387014217, 15.110664044540515, 14.844016800361157, 14.604196011226055, 14.393654435872076, 14.215300693980097, 14.07256234189105, 13.969453453047302, 13.910644638481264, 13.90153207730272, 13.948300240632332, 14.057970470825294, 14.238424524847728, 14.498386453085526, 14.847345895467118, 15.29539375050882, 15.852942470933488, 16.530295646644213, 17.337032870066036, 18.281180167582445, 19.36815387074253, 20.59949037623131, 21.971421690366906, 23.473416652380795, 25.086876734633805, 26.784247025832236, 28.528840275096375, 30.27566451258295, 31.973441869303915, 33.567828756592945, 35.00558413956636, 36.239169393429464, 37.231071174160725, 37.95710550780468, 38.40812274968104, 38.58985737236928, 38.52105256739676, 38.23032371989115, 37.75240736583955, 37.12444548159609, 36.38281131621764, 35.56076743371236, 34.68703029246181, 33.7851519627521, 32.87353721243678, 31.965886386807643, 31.07187228868717, 30.19790038240572, 29.34784894813442, 28.52372837414167, 27.726231778660498, 26.955171548980374, 26.20981030253168, 25.489101219279494, 24.79185499076077, 24.11685010186712, 23.46290110325725, 22.828896954896727, 22.213818954625722, 21.61674538453637, 21.036848115038964, 20.473384722285196, 19.925688639738933, 19.393158833305638, 18.875249954263065, 18.371463451674913, 17.881339854969188, 17.404452272126637, 16.94040100045452, 16.48880916706202, 16.049319227797078, 15.621590192497223, 15.205295440804438, 14.800121012138346, 14.405764271073712, 14.021932866545486, 13.648343919276666, 13.28472338590198, 12.930805559516257, 12.586332676541394, 12.251054607259105, 11.924728613904174, 11.607119165205317, 11.297997800724968, 10.997143040000756, 10.704340338966286, 10.419382092342383, 10.14206768845337, 9.872203623663111, 9.609603684906974, 9.35408921443468, 9.105489473521528, 8.863642125156366, 8.628393861650391, 8.39960120989765, 8.177131556048707, 7.960864436083087, 7.750693155486845, 7.546526814975856, 7.3482928401601155, 7.155940122570763, 6.969442923470221, 6.788805723767279, 6.61406923219115, 6.445317833726272, 6.282688811780614, 6.126383764918668, 5.9766827307743835, 5.833961660418375, 5.698714000559377, 5.571577356192165, 5.453366377496646, 5.345113274576571, 5.248117684325724, 5.16400782183727, 5.094815336422919, 5.043066601728385, 5.0118936419909765, 5.00516768835876, 5.027659252677298, 5.085227697665666, 5.185042613423427, 5.33583767608315, 5.548193959373673, 5.834844434214425, 6.2109807327551, 6.694532898350083, 7.306367234122804, 8.070324963744739, 9.01298357185389, 10.16298521371677, 11.549728756128756, 13.20119803967366, 15.140706775086104, 17.38242909805656, 19.925796245772617, 22.749212812526235, 25.804075299800175, 29.01066558015584, 32.25790030717492, 35.408802634190906, 38.312593244285026, 40.82244884529949, 42.81573832720326, 44.21193266669748, 44.98338294549365, 45.15612072825138, 44.80097606777147, 44.01818470122628, 42.920031400746225, 41.61562723394153, 40.200270619636996, 38.74996590856587, 37.32030161413537, 35.94826950472642, 34.65559909205681, 33.45250995340511, 32.3411973489633, 31.31872029887776, 30.37920519753456, 29.515415232417478, 28.719797026655755, 27.98512899152183, 27.30488430020226, 26.67340047956503, 26.085925302798888, 25.538589013447115, 25.028337216556125, 24.55284680040326, 24.110439008910873, 23.699997466970228, 23.320895230546665, 22.972932517197926, 22.656284794391517, 22.371460187473723, 22.119264512963067, 21.900771937847406, 21.71729908260693, 21.5703802514847, 21.46174137898287, 21.393270173726403, 21.366979840483747, 21.38496369183459, 21.44933791927465, 21.56216983000399, 21.72538917489545, 21.9406806995728, 22.209356898739085, 22.53221131183332, 22.909354582004184, 23.340037961235264, 23.822471941558355, 24.353651069693665, 24.92919944233728, 25.543254391634292, 26.188407797614936, 26.85572445242351, 27.534854932427326, 28.214253753344316, 28.881505564368325, 29.523750795659367, 30.12818919373736, 30.682626829740684, 31.1760234179224, 31.598992410475915, 31.944207900919686, 32.206681288469234, 32.383885060865914, 32.47571854109989, 32.484327729119286, 32.41380666650906, 32.26981756392239, 32.05917027829702, 31.789400463680572, 31.4683787688618, 31.103974736040467, 30.703787789341025, 30.27495070207185, 29.82400165025366, 29.35681682274625, 28.878592477036488, 28.393864692643973, 27.906555339049323, 27.420034443964887, 26.93719090221807, 26.460505505338855, 25.992122096542495, 25.53391413586909, 25.08754526883373, 24.654523363358056, 24.23624810870261, 23.834052658687664, 23.449239967973067, 23.08311463573162, 22.737010871733894, 22.412317251069375, 22.110498687417852, 21.833115885746196, 21.581842345390605, 21.35847871094202, 21.164964026807784, 21.00338321522378, 20.87596965189847, 20.785101496650167, 20.73328994395631, 20.723157422912934, 20.757403188015964, 20.83875343033029, 20.96989314521551, 21.15337689116001, 21.39151561703628, 21.686238392753673, 22.038927915774565, 22.450232355402292, 22.91985742291724, 23.446347414795728, 24.02686771402574, 24.65700585152, 25.33061300698373, 26.039710410837284, 26.774486854213947, 27.523409308182686, 28.27346590191195, 29.01054464770224, 29.719941343977606, 30.386968777230628, 30.99762602465196, 31.539270876393488, 32.001233840134795, 32.37531384701735, 32.65610737881202, 32.84114232850943, 32.93081192634428, 32.928127113631156, 32.8383253245203, 32.66838593550127, 32.42650598557535, 32.12158583915325, 31.76276448776848, 31.359031192275967, 30.918926924993457, 30.450337173778102, 29.960368950714148, 29.455299222543264, 28.940579362544575, 28.42087997732713, 27.900162093242006, 27.38176275873442, 26.868485961037482, 26.362692508354833, 25.86638450527066, 25.381282106704095, 24.90889156461629, 24.450564551898974, 24.00754935954332, 23.581034937966162, 23.172188872714766, 22.782190362882872, 22.41225924576873, 22.06368188960545, 21.73783462218159, 21.43620512692309, 21.16041207074895, 20.912222819523787, 20.693569034664886, 20.50655947242326, 20.353489039669103, 20.236842733546172, 20.159292732642538, 20.123686376976412, 20.133022305448986, 20.190411558005994, 20.299019943774148, 20.461987937968857, 20.682324047522467, 20.962768201359424, 21.305622629002432, 21.712549436975472, 22.184337071768386, 22.72064141135898, 23.31971250008188, 23.978123846404948, 24.690527540714697, 25.44946439894873, 26.24526377409503, 27.066062696762394, 27.897981269624896, 28.72546728525179, 29.531818886626922, 30.299863067568193, 31.012750855478117, 31.654803143837697, 32.212329018245896, 32.67433356018153, 33.03303993758779, 33.284173375102725, 33.42698512662491, 33.464027282769074, 33.40071970292257, 33.24477153548086, 33.00552887048297, 32.69331802298073, 32.31884199178807, 31.89267055618956, 31.424845731221357, 30.924607001066725, 30.400228387736586, 29.85895035981711, 29.306985953912328, 28.749579875862217, 28.191101367571793, 27.635154941150077, 27.084696707234695, 26.542147872422646, 26.00950003328578, 25.48840925976763, 24.980278142203055, 24.48632597381361, 24.00764804212459, 23.54526555986406, 23.100167810689314, 22.673348082445667, 22.265834827430645, 21.878719293466002, 21.513180650619244, 21.170509387109167, 20.852129513904774, 20.559619878105643, 20.294734590311403, 20.059422336957333, 19.85584398767445, 19.68638757472445, 19.55367929351282, 19.460588670097177, 19.410225494218203, 19.405925474452257, 19.45122090871833, 19.549791979871458, 19.70539368684637, 19.92175310522304, 20.202431408037302, 20.55064607860337, 20.96904978471233, 21.45946535628411, 22.022580316584786, 22.65761030943303, 23.361948280800334, 24.130824952842136, 24.957015029143474, 25.83063325330101, 26.73906289346407, 27.667068315622103, 28.597122173665003, 29.509968456113405, 30.385408602566887, 31.20326887254029, 31.94447069217816, 32.59210209731733, 33.132374681587926, 33.555358150593385, 33.85541004527143, 34.03126096848478, 34.085762147890684, 34.025347362131114, 33.85929325893954, 33.59887705036955, 33.256528291333964, 32.84505479928403, 32.37699731735412, 31.86414121113175, 31.31718888463767, 30.745579137333237, 30.157428416317874, 29.559564332098613, 28.957622185879757, 28.356178842632037, 27.75890332776782, 27.168709088215277, 26.587897870139525, 26.018289395545782, 25.46133419586272, 24.918209290598924, 24.38989770457991, 23.877253820404565, 23.381056788469316, 22.90205432692204, 22.44099908828415, 21.998679534318214, 21.575946974412798, 21.17374012796955, 20.793108290061586, 20.43523391616481, 20.10145519441253, 19.793288934572022, 19.512453856127276, 19.26089410522234, 19.040802516079857, 18.854642759807525, 18.705169120193613, 18.59544206783187, 18.52883716431662, 18.50904405571115, 18.54005141146092, 18.62611267814219, 18.771686574844892, 18.98134523374956, 19.259642316496713, 19.610933307415017, 20.03914096543436, 20.54746110221472, 21.138007936860035, 21.811404515982918, 22.56633269238209, 23.399068810165254, 24.30304585482799, 25.26849107010628, 26.282208026781177, 27.327566615546807, 28.38476559621087, 29.43140904158035, 30.443405236970893, 31.396149863601405, 32.26590454904857, 33.031233129722374, 33.67433986001958, 34.1821382546035, 34.54692477398942, 34.76658005383033, 34.84429455944705, 34.787883994179325, 34.608812147933975, 34.32106422985161, 33.940011488491514, 33.481383116448185, 32.96042344285592, 32.39127144492324, 31.78656448358687, 31.157241704357073, 30.512508462138573, 29.85991774353739, 29.205526895577286, 28.554094301709245, 27.9092889053175, 27.27389371528304, 26.64999161596556, 26.039127538921246, 25.44244515027668, 24.860798952717616, 24.29484431946847, 23.745108704807926, 23.21204751744883, 22.69608798405307, 22.197663992636592, 21.717244467219416, 21.25535740517896, 20.81261131920071, 20.389715435806224, 19.987499730067906, 19.606935615489352, 19.249157897298346, 18.915488407273532, 18.607461554843493, 18.326851838835275, 18.07570313555508, 17.856359292957602, 17.671495192031145, 17.524146958845694, 17.417739383563475, 17.35610779944197, 17.343510674154125, 17.384627971145694, 17.484538825199767, 17.64867065059092, 17.882710013012993, 18.192464278056896, 18.583662049295672, 19.061680569587185, 19.6311900706616, 20.295709471394968, 21.05707571198869, 21.914841137881314, 22.86562980469836, 23.90250495466874, 25.014420172646943, 26.185847812482674, 27.3966888624128, 28.62256410048285, 29.835558407081326, 31.005440404917252, 32.101304608740314, 33.09350177367067, 33.95564618009945, 34.66645227996209, 35.211145899845064, 35.5822626120661, 35.779737578821205, 35.81031179372434, 35.686385154478856, 35.424518706204715, 35.0438121634109, 34.564361474379005, 34.005947949576566, 33.3870444283986, 32.72415999089327, 32.03149734401008, 31.32086606977027, 30.601783391701073, 29.8816958058662, 29.166264132400006, 28.459668113238177, 27.7649006039076, 27.084033076247273, 26.41844342048225, 25.769003990547553, 25.13623175712124, 24.52040490969192, 23.921651331071875, 23.340014434709342, 22.775501480167364, 22.22811883200834, 21.697897898887604, 21.18491475834056, 20.689305843906983, 20.211281524902205, 19.751138989790444, 19.30927550487109, 18.886202880193213, 18.482563807282837, 18.099150600369732, 17.736926775347428, 17.397051850475233, 17.080909680134646, 16.790140538575592, 16.526677055629616, 16.29278392325915, 16.091101021476817, 15.9246892115442, 15.797077474866107, 15.712309287995948, 15.674985048476792, 15.69029595353763, 15.764042925646716, 15.902631927025773, 16.113034386752823, 16.40269851987696, 16.779394363863638, 17.250972883743337, 17.825018288971346, 18.50837396367189, 19.306527895947884, 20.222854284430316, 21.257727562670823, 22.407551930757588, 23.663786459618294, 25.012084884505157, 26.43170794545673, 27.89538764583036, 29.369815327103105, 30.816875473588468, 32.19564752437544, 33.46505848976554, 34.58691642120089, 35.52893060100911, 36.26727135687503, 36.78827052104865, 37.089008613863164, 37.176743246113354, 37.06734332901782, 36.783055227950534, 36.349991757901414, 35.795716188889294, 35.14719761953745, 34.42929230107222, 33.66378723332028, 32.86895293154058, 32.05950073369083, 31.246822159661512, 30.43939539047826, 29.64326508679498, 28.86252781195051, 28.09977983882464, 27.356504521707674, 26.633390979919696, 25.93058556840454, 25.247883061175756, 24.584867001929446, 23.941009195902065, 23.315737606439384, 22.7084808041404, 22.11869557392585, 21.54588295655816, 20.989596688520745, 20.449447029630235, 19.925102086120223, 19.416288123067442, 18.922789882348095, 18.444451606592263, 17.9811792457957, 17.53294414807104, 17.09978854596174, 16.68183303679289, 16.279286311994035, 15.892457395518884, 15.521770710383196, 15.167784348427935, 14.831211989338302, 14.512948947237492, 14.214103000521257, 13.9360305341787, 13.680378725269936, 13.449134426445521, 13.244680309885547, 13.069858699033977, 12.92804322434516, 12.823217879690832, 12.760062112989111, 12.744039610333648, 12.781486450679743, 12.879691884347572, 13.046959983223264, 13.29264050821591, 13.627104976219545, 14.061642354845523, 14.608239739689006, 15.279205450768911, 16.086588758548643, 17.041350400482663, 18.15224748318662, 19.424422074825603, 20.857728226114368, 22.444900109976473, 24.169757643996384, 26.005741083003063, 27.915157080458112, 29.849543887409848, 31.75149522790197, 33.55808488145745, 35.2057118992353, 36.635806091670126, 37.80051332329173, 38.66734361231246, 39.221903593776545, 39.46823351574186, 39.4268062276075, 39.130739415748536, 38.621075276557185, 37.94202124370796, 37.13686530724456, 36.24497874186919, 35.300014329110354, 34.32917668426054, 33.35331325390279, 32.38754011530988, 31.442145817335426, 30.523577191431254, 29.63537670209593, 28.77899956702662, 27.95448145669997, 27.160956007606366, 26.397037351747542, 25.66108988592678, 24.951409124512438, 24.266335560213047, 23.604320189131048, 22.963956681606554, 22.34399166015374, 21.743321500830163, 21.160981587330525, 20.596132143764116, 20.04804309913956, 19.516079758191292, 18.99969007007906, 18.49839396410058, 18.011774883182362, 17.539473498330302, 17.081183501363846, 16.636649353590897, 16.205665871222102, 15.788079585932723, 15.383791844137823, 14.992763685960341, 14.615022601321487, 14.250671331667059, 13.89989896199666, 13.562994622885148, 13.240364211015413, 12.932550629288922, 12.640258146699288, 12.364381577725087, 12.106041090525862, 11.866623557715647, 11.64783145101578, 11.451740338960388, 11.280866047185418, 11.138242442917912, 11.027510550550387, 10.953019210534954, 10.919936653251073, 10.934370876166179, 11.003494860775431, 11.135669225021404, 11.340550773323049, 11.629169182258353, 12.013946332432766, 12.508622834805996, 13.128043905641096, 13.887747045180589, 14.803281171741059, 15.889184842081107, 17.157559984386843, 18.616208354241483, 20.266361373417613, 22.100137016034573, 24.097997809307394, 26.226649071748, 28.437957735983108, 30.669525344436302, 32.84743653198788, 34.89136721870584, 36.72169808039133, 38.267662300702675, 39.47507596994837, 40.3120870514889, 40.77174485528787, 40.8709511491521, 40.646238771397016, 40.1475133805687, 39.431175741466866, 38.55388734095819, 37.56780993680172, 36.517628993485204, 35.439248272895114, 34.35978989332947, 33.298450711206215, 32.2678026314991, 31.275221277425793, 30.324237255880835, 29.415699510190528, 28.54870996345226, 27.721332849799044, 26.93110580052959, 26.17538916246836, 25.451590721444198, 24.757299062710192, 24.090353080984002, 23.44886907288961, 22.831241403179348, 22.236128185135893, 21.662429849372586, 21.109265774410865, 20.575952230301763, 20.061983533219497, 19.567017425372715, 19.090865126401177, 18.633486193344183, 18.194988162433294, 17.775630890980832, 17.37583554085488, 16.99619819187195, 16.63750814538908, 16.300771044982255, 15.987236993109951, 15.698433860467828, 15.436205960440493, 15.20275815643359, 15.000705288797853, 14.83312644345188, 14.703623090984037, 14.616379327964037, 14.576221358330987, 14.588671825328188, 14.659992569384068, 14.797206821847265, 15.008088332405297, 15.301101167350676, 15.685270521946066, 16.169958652141624, 16.76451886006124, 17.477798466148773, 18.317464962873007, 19.28914023688698, 20.395347980302148, 21.634310997635254, 22.998682047322056, 24.47434634171906, 26.039493404856326, 27.664198228881496, 29.310760801965113, 30.935006697292145, 32.48862276623967, 33.92242377682045, 35.19021769297202, 36.25274675239399, 37.08108435725501, 37.65891706579517, 37.983339323323804, 38.064087184372994, 37.921443619656884, 37.583275492768124, 37.0817551562037, 36.45027258166779, 35.72090194472536, 34.922604690313314, 34.08018625628275, 33.213906657140264, 32.339585223128736, 31.46902743993684, 30.610621809767615, 29.76998975504447, 28.9506095458225, 28.154368542196597, 27.382023512408804, 26.63356609211137, 25.908500817863338, 25.206048267987104, 24.525287538866742, 23.86525159457695, 23.22498757888149, 22.6035919730949, 22.00022845140535, 21.414134340269744, 20.844620058477865, 20.29106457956178, 19.75290900327277, 19.229649586965618, 18.720831068522433, 18.226040766691778, 17.744903647304316, 17.277078505015194, 16.82225522320081, 16.380153090670937, 15.950520121655284, 15.533133341825588, 15.12780002001387, 14.73435985638078, 14.352688167514692, 13.982700153036015, 13.624356365894505, 13.27766955778208, 12.942713123393599, 12.619631425836127, 12.308652355831697, 12.010102543529202, 11.724425748443277, 11.452205034540482, 11.194189457407797, 10.951326127252406, 10.72479860805007, 10.51607280038562, 10.326951530605383, 10.159639174797803, 10.016817798113172, 9.901736019592288, 9.818311722216677, 9.771249311961679, 9.766171077382742, 9.80976083992417, 9.909915595534573, 10.075897187337977, 10.318470765748277, 10.65000960901994, 11.084534359041722, 11.637646321720826, 12.326293078248078, 13.168294862477287, 14.181542391192027, 15.38277218436665, 16.78583671865256, 18.39942750739837, 20.22429162727532, 22.250122304330226, 24.452494480366774, 26.790433830716122, 29.205385164006834, 31.622392439120297, 33.95409985685827, 36.10767549726323, 37.99399765335152, 39.53764222235755, 40.685690107171546, 41.41342446280477, 41.72568830690137, 41.653793304899565, 41.24898928243621, 40.574204161471584, 39.69585598945542, 38.67711580876465, 37.57332760564598, 36.42965063429511, 35.28055121238145, 34.150577822680745, 33.055854423233875, 32.00583773590549, 31.00503146733913, 30.054485203079928, 29.153007445653643, 28.298088534651814, 27.486565020808705, 26.715072210724998, 25.98033350443106, 25.27933047771418, 24.609390029734595, 23.9682168241425, 23.3538920320186, 22.764853269896083, 22.19986592435331, 21.65799254570991, 21.13856442020405, 20.641157668403974, 20.165575152647747, 19.71183462559065, 19.28016322366029, 18.87099813875212, 18.484993211912606, 18.123031184723295, 17.786241288633946, 17.476021919280043, 17.194068040350892, 16.94240289223569, 16.723413369873608, 16.53988813117669, 16.395057016390457, 16.292629688311425, 16.236830479474502, 16.232425214477257, 16.284734222922754, 16.399623851910654, 16.583466555157607, 16.843057184820786, 17.185470675904305, 17.617844365567407, 18.147067085884736, 18.779358389373627, 19.51972681115963, 20.371303372074028, 21.334564067819098, 22.406477201100873, 23.579641009227036, 24.84151077982127, 26.17384710033673, 27.5525338473995, 28.947917574448763, 30.325779066982815, 31.648972794124276, 32.87965850677643, 33.9819226775548, 34.924473327448545, 35.68303559959753, 36.242088065878185, 36.5956858814861, 36.74727721117745, 36.70859808358102, 36.49788404706663, 36.13771974785012, 35.65285501300472, 35.06825622653287, 34.40756759204037, 33.69205276585902, 32.94000192149266, 32.166532119034805, 31.383681949447375, 30.60069840320312, 29.824426804540423, 29.059735140918118, 28.309924947091922, 27.577100550983417, 26.862483044988224, 26.166665572670606, 25.48981330650391, 24.831814888377636, 24.192393575403397, 23.571186279130316, 22.967798098333688, 22.38183873006936, 21.812946041436465, 21.26080089215682, 20.725136392305668, 20.20574391693072, 19.702477585445433, 19.2152584280826, 18.74407911095555, 18.28900988091131, 17.850206165611812, 17.427918263874396, 17.022503465787047, 16.634440944768194, 16.264349795574713, 15.91301061023966, 15.581391027872163, 15.270675728411517, 14.982301358981097, 14.717996864279758, 14.479829662084583, 14.270257907153892, 14.092188933341575, 13.949043522268065, 13.844824910230221, 13.784190759003009, 13.772524830821819, 13.816003277798998, 13.92164770201756, 14.097354551171584, 14.351885105749572, 14.694798224073216, 15.136297067221236, 15.686962961443168, 16.35733884125124, 17.157327550276474, 18.095374289347, 19.177414685710872, 20.405599807694944, 21.77685143100817, 23.281362237799772, 24.901228384578538, 26.609473581570914, 28.36977265156144, 30.137174766671837, 31.860041617025917, 33.48323036674071, 34.95229052987533, 36.21816648542196, 37.241685727190564, 37.99706384382162, 38.47380364492293, 38.67669123179976, 38.623992908038396, 38.344310227718644, 37.872753464592144, 37.24710974479508, 36.50454240423068, 35.67913576134175, 34.800374048465834, 33.89246981174498, 32.97435687522296, 32.06013132585274, 31.15974095692143, 30.279765477082293, 29.424178864892358, 28.5950296767953, 27.79300970553767, 27.017905031048866, 26.268937854354743, 25.545014573214296, 24.844897956042555, 24.167320689939853, 23.511055482168196, 22.87495425143189, 22.257966246811826, 21.659142498105204, 21.077631973757583, 20.512673201667862, 19.963583852596674, 19.429749906033177, 18.910615330882184, 18.405672789428703, 17.914455576315714, 17.436530821868505, 16.97149388320685, 16.518963792668842, 16.07857961360336, 15.649997553447676, 15.232888693324798, 14.826937219642007, 14.431839044695442, 14.047300740989119, 13.673038716727858, 13.308778581579222, 12.954254661706178, 12.60920963380974, 12.27339425654426, 11.946567184610158, 11.62849485639587, 11.318951451513419, 11.017718917667342, 10.724587071843082, 10.439353783259753, 10.16182525028148, 9.891816387513549, 9.629151344673259, 9.37366418307137, 9.125199744677621, 8.8836147562039, 8.648779220021133, 8.42057815652949, 8.198913778894061, 7.983708198262623, 7.774906790072796, 7.572482349125779, 7.376440262135098, 7.186824885135537, 7.003727426133236, 6.827295734378168, 6.6577463319346135, 6.49537927444973, 6.340596502066645, 6.193924532721151, 6.056042301718607, 5.927815306881743, 5.810338256461034, 5.7049861906257275, 5.613478162889425, 5.5379542709829375, 5.4810694570840655, 5.446107035830721, 5.437114693279754, 5.459066685660283, 5.518054550567098, 5.621508210798688, 5.778446837501137, 5.999755122394062, 6.298474219390056, 6.690086790460129, 7.192760944714421, 7.827496563838023, 8.618089011040587, 9.590791371597081, 10.77351383440267, 12.194363703365015, 13.879310702050633, 15.84878911481119, 18.11315685866542, 20.667166691796194, 23.4839916884516, 26.50986140275759, 29.660893524285346, 32.823994730801004, 35.86343099123014, 38.6335738938521, 40.99648281110262, 42.84096085140834, 44.09847139676889, 44.751676023454145, 44.83344996628202, 44.41718883904294, 43.601691779687684, 42.494882931145966, 41.199986643071206, 39.80616748983548, 38.383952201601836, 36.98457843502265, 35.64192828230753, 34.375748584194476, 33.19518050830577, 32.101999412553525, 31.093282687787063, 30.16343816280979, 29.305646274590284, 28.51282080467028, 27.778203516236346, 27.095696598234063, 26.460017433040235, 25.86673972693189, 25.31226707166151, 24.79377042825999, 24.309110497164816, 23.8567576248822, 23.435716792132414, 23.045461405129103, 22.685877302994143, 22.357216801105572, 22.060061721146614, 21.795293910003398, 21.564071258822278, 21.367807173321882, 21.208151233778523, 21.08696867502292, 21.006316123298106, 20.968410826915704, 20.975590511895394, 21.03026078496577, 21.13482694899427, 21.291607194985453, 21.502724492083388, 21.769975225976655, 22.09467387537558, 22.477474884584026, 22.918175482806177, 23.41550653053352, 23.96692243792041, 24.568405514109397, 25.214304262481306, 25.897228389878876, 26.6080246619902, 27.335856448728386, 28.06840489696777, 28.792198625369114, 29.493068969454008, 30.15670944551746, 30.76930308002591, 31.318167883408044, 31.792362905153915, 32.18319737007432, 32.48459347216568, 32.69327035555065, 32.80873796436007, 32.83311195052269, 32.77077983033428, 32.62796316420695, 32.4122255652143, 32.13197544108974, 31.796003947667206, 31.413087736339595, 30.99167330955301, 30.5396481586023, 30.064194678072024, 29.57171648776098, 29.067823268941343, 28.557359539495412, 28.04446332430633, 27.532642704302873, 27.024860864632906, 26.523622398597475, 26.031056122776498, 25.5489915199985, 25.07902732715398, 24.622591909987857, 24.180995731145895, 23.755476731610102, 23.347239515553444, 22.957489399125933, 22.58746225531453, 22.238451017899713, 21.911829478222607, 21.60907387598998, 21.33178245833092, 21.08169306477071, 20.860698437393747, 20.67085869337937, 20.514410063934616, 20.39376864307547, 20.311527488688057, 20.270444963251887, 20.27342175315087, 20.323463586440916, 20.423626178570387, 20.576938877189647, 20.78630329012697, 21.054363629136343, 21.383346402093345, 21.774868730824736, 22.229717263022977, 22.747602952627922, 23.326901842843444, 23.96439743692917, 24.655046138105003, 25.391792941639896, 26.165468922791586, 26.964799742656105, 27.776558294506795, 28.58587644598501, 29.376724592722532, 30.132540971972425, 30.836976493760766, 31.47469551457562, 32.03216046699068, 32.498323454003845, 32.86515152586764, 33.12793399960145, 33.28534616571861, 33.33927473575739, 33.29443911649674, 33.15786418699233, 32.93827060814026, 32.645448620897454, 32.289671890812826, 31.88119259606412, 31.429841853667096, 30.944742975500166, 30.434132289769313, 29.90527351174254, 29.36444689564978, 28.816993225293665, 28.267394156447313, 27.71937320655415, 27.17600498581726, 26.639823884856767, 26.112926413990376, 25.597063812768546, 25.093723567871077, 24.604199816580493, 24.12965323759046, 23.671161786881846, 23.229763699697212, 22.80649422671401, 22.402417474990088, 22.01865455425289, 21.656409020875483, 21.31699038395334, 21.00183619194146, 20.71253299732789, 20.45083619101271, 20.218688468455156, 20.01823633268344, 19.85184370601044, 19.722101301113614, 19.631829923850074, 19.584075341356236, 19.58209175176306, 19.629310267727767, 19.729288210200867, 19.885634488800534, 20.101906072921572, 20.38147055736604, 20.727330628471364, 21.141907694549246, 21.62678464629373, 22.182411882775284, 22.80778624507465, 23.500119868903177, 24.254523771732078, 25.06373940555397, 25.91795889408486, 26.80477657578296, 27.709314529952433, 28.614553340676878, 29.501882892021353, 30.351859694503485, 31.14512929351931, 31.863439219899824, 32.490646002588015, 33.01361067330237, 33.42288168390116, 33.71309146658073, 33.883030686122694, 33.935407614255034, 33.876341100653526, 33.714665329440116, 33.46113782121915, 33.1276402664067, 32.72644673692925, 32.269610587419, 31.768497001391676, 31.233465837111396, 30.673692315588156, 30.097103404592424, 29.510402336472094, 28.919154224554845, 28.327908669835427, 27.74033985120677, 27.15938964326477, 26.587404008411806, 26.02625684649825, 25.47745853680296, 24.942248598969428, 24.421673311256068, 23.916649917029535, 23.428019516656004, 22.956590757012272, 22.50317636094451, 22.068624310591144, 21.653845252246153, 21.259837407450785, 20.887710006167843, 20.538705999927046, 20.21422456523057, 19.915843661821043, 19.645342656689834, 19.404724744836894, 19.196238582928235, 19.02239817914079, 18.885999572556198, 18.790132370315565, 18.738183487353513, 18.73382968179886, 18.78101462596154, 18.883905320527422, 19.046821754105583, 19.274133099211117, 19.570113164164955, 19.938748226317944, 20.383491603190244, 20.906961971413946, 21.510587272465422, 22.194202446147003, 22.955619423866736, 23.790197705190057, 24.690457055631146, 25.645786363460367, 26.642308139647355, 27.66296122686547, 28.687852322693594, 29.69490596059648, 30.660805223658475, 31.56217232856439, 32.376891179696734, 33.08543769634969, 33.67206598839538, 34.12570718872377, 34.44047387772043, 34.61572003320208, 34.65567254634953, 34.568708987714466, 34.36639803989008, 34.06243544716738, 33.67160016177917, 33.20882930125127, 32.68847460290322, 32.12376694342891, 31.526484335379685, 30.906798387392882, 30.273261850771586, 29.632897477047738, 28.991350454693503, 28.353073778399203, 27.721522642365045, 27.09934178782558, 26.48853585849205, 25.890617835220585, 25.306734230433012, 24.737768012318373, 24.18442166852849, 23.647283366729447, 23.126879387057134, 22.623715855068777, 22.138312452201745, 21.67123042693499, 21.22309684699048, 20.794626594382557, 20.386643416896067, 20.00010094363518, 19.636104384056267, 19.29593341997874, 18.98106659254504, 18.69320728268289, 18.43431115037004, 18.20661462546188, 18.01266369817556, 17.855341807032115, 17.737895054158244, 17.66395225340885, 17.63753641876341, 17.66306320766126, 17.745320510245573, 17.88942231296317, 18.10072760222579, 18.384715131334527, 18.746802880448083, 19.192101541675424, 19.72509293981458, 20.349228031817322, 21.06644525083903, 21.87662149172058, 22.776980981100703, 23.761506617488557, 24.82041651988498, 25.93978779669564, 27.101420140088226, 28.283030993984692, 29.458853750128245, 30.600669319810947, 31.679240153742928, 32.66604080997058, 33.53511183490016, 34.26481554888426, 34.839265273423024, 35.24923622790031, 35.49244657508547, 35.57319879949996, 35.50147201065413, 35.29163015139988, 34.960947595996544, 34.52814612134604, 34.01209883914206, 33.43079952507862, 32.80063793977682, 32.1359719384342, 31.448955199159006, 30.749561672170323, 30.04574528567028, 29.343678958273863, 28.648028398600964, 27.9622280527403, 27.288737971820943, 26.62927012070499, 25.98497924427336, 25.356618458772026, 24.744662540923205, 24.14940331318651, 23.571022069304647, 23.009643847443236, 22.46537788195648, 21.938347975379436, 21.42871582338639, 20.93669979741085, 20.462591103979214, 20.006768833891286, 19.56971506364218, 19.152030905835325, 18.75445423681166, 18.37787962480879, 18.023380921032103, 17.692236868910822, 17.38595995560923, 17.10632864742716, 16.855422943054602, 16.63566297050846, 16.449849990649305, 16.301208679383794, 16.193428957138792, 16.130704670436877, 16.117765316311072, 16.159895312719776, 16.262933756410565, 16.433245205163043, 16.67764953506923, 17.003296537094467, 17.417467309815038, 17.92728760338047, 18.539331111199836, 19.259102545903463, 20.090391999037816, 21.034510452996745, 22.08943494978586, 23.248924365887994, 24.501693820835865, 25.830779577787958, 27.21324112546617, 28.620360082542987, 30.018462565346326, 31.370425742054355, 32.63782160457494, 33.783522001911486, 34.77446436490236, 35.58420398375508, 36.19487118801872, 36.5982412589135, 36.79577787659725, 36.79769845704007, 36.6212757215668, 36.28869255899385, 35.824792883648435, 35.25502258062906, 34.60376128798175, 33.893139756091095, 33.142342535695434, 32.36733230072532, 31.580896324726105, 30.79290980539394, 30.010720967421783, 29.239582774171026, 28.48307846505456, 27.74350847982651, 27.022222029659574, 26.319888617702553, 25.636711826575365, 24.97259187981793, 24.327245369706723, 23.700290682569833, 23.091307007174716, 22.49987375129009, 21.92559595358178, 21.368120112958028, 20.82714381063584, 20.302421643846785, 19.7937692934008, 19.30106705047739, 18.824263723833138, 18.36338159804423, 17.918522937113195, 17.489878426320814, 17.077737896271202, 16.682503659060096, 16.304706803689555, 15.945026830577318, 15.604315046264768, 15.283622182356249, 14.984230735327914, 14.707692542932648, 14.455872083865843, 14.23099591328362, 14.035708475933571, 13.873134237567834, 13.746945622778856, 13.661435462257568, 13.6215915866052, 13.633169707874625, 13.702758516948688, 13.837828049533263, 14.046748819104296, 14.338764511323895, 14.723895760862451, 15.21274692634681, 15.816180972843183, 16.54482868238042, 17.40839111283931, 18.414710709927736, 19.56859903626304, 20.870447215206628, 22.314697278790064, 23.88831863913962, 25.56951737554515, 27.326968839727538, 29.11990276066104, 30.899328549868347, 32.610560614557734, 34.19697323337893, 35.60462427585843, 36.78711467645826, 37.709888443521805, 38.35320941050659, 38.71329276732496, 38.80145771337247, 38.64158268703508, 38.26645545958571, 37.71373686615413, 37.02219455360403, 36.228666417502524, 35.365970861429304, 34.46176391832132, 33.53819689396567, 32.61215812695808, 31.69587690132765, 30.797699999408003, 29.922901473925123, 29.074435692908565, 28.25358612291299, 27.460492463993116, 26.694558547552536, 25.954754249866614, 25.23982933631977, 24.548457831001418, 23.87932996031492, 23.231206084476405, 22.60294423660861, 21.993510131585136, 21.401976213522932, 20.82751438664666, 20.269385641813685, 19.7269285661563, 19.199548089806143, 18.68670514481481, 18.187907584630658, 17.702702464772972, 17.2306696470984, 16.77141661169337, 16.324574326430067, 15.889794017692573, 15.466744694776565, 15.05511129840474, 14.654593363804388, 14.264904112308894, 13.885769904741508, 13.516930010391883, 13.158136662385921, 12.80915538679383, 12.469765607933715, 12.139761545164648, 11.818953435117864, 11.507169123381331, 11.204256089881971, 10.910083989775305, 10.624547813506087, 10.347571800264179, 10.07911424424187, 9.81917343254022, 9.567794920331055, 9.325080443982433, 9.091198870064364, 8.86639959173149, 8.65102891016064, 8.445550070187684, 8.250567716682463, 8.066857794138226, 7.895403926201183, 7.7374416419537315, 7.594511924700317, 7.468526519733975, 7.361845592261032, 7.277371777049869, 7.218661537410878, 7.190056819107826, 7.1968387617917395, 7.2454040880428705, 7.343464039526776, 7.500261856930732, 7.72680073779919, 8.03606694461401, 8.443222441197083, 8.965725969803056, 9.62332344738436, 10.437822452311712, 11.432537954628161, 12.631270462438156, 14.05665892983817, 15.727762788766322, 17.656782532152324, 19.84496732082387, 22.277989749135486, 24.92140602538941, 27.71720314965359, 30.58274036579141, 33.41341914701496, 36.089953950683125, 38.49007840478233, 40.503098215094646, 42.04439529092816, 43.06646009289696, 43.563702157515756, 43.570024757187554, 43.15023709052559, 42.387933500836716, 41.37293487476497, 40.19079690809361, 38.91572444994001, 37.60705993474922, 36.30871336174992, 35.05056350553013, 33.850884190298146, 32.719065891355044, 31.658168524844932 ] } ], "layout": { "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 }, "autotypenumbers": "strict", "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 } } } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "go.Figure(\n", " [\n", " go.Scatter3d(\n", " x=trajectory1[:, 0], y=trajectory1[:, 1], z=trajectory1[:, 2], mode=\"lines\"\n", " ),\n", " go.Scatter3d(\n", " x=trajectory2[:, 0], y=trajectory2[:, 1], z=trajectory2[:, 2], mode=\"lines\"\n", " ),\n", " ]\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "polar-particular", "metadata": {}, "outputs": [], "source": [ "go.Figure(\n", " [\n", " # go.Scatter3d(\n", " # x=trajectory2[:, 0], y=trajectory2[:, 1], z=trajectory2[:, 2], mode=\"lines\"\n", " # ),\n", " go.Scatter3d(\n", " x=trajectory2[:, 0], y=trajectory2[:, 1], z=trajectory2[:, 2], mode=\"lines\"\n", " ),\n", " ],\n", " layout=go.Layout(\n", " scene=go.layout.Scene(\n", " xaxis=dict(range=[-25, 25], autorange=False, zeroline=False),\n", " yaxis=dict(range=[-25, 25], autorange=False, zeroline=False),\n", " zaxis=dict(range=[0, 50], autorange=False, zeroline=False),\n", " ),\n", " width=1000,\n", " height=1200,\n", " # title_text=\"Kinematic Generation of a Planar Curve\", hovermode=\"closest\",\n", " updatemenus=[\n", " dict(\n", " type=\"buttons\",\n", " buttons=[\n", " {\n", " \"args\": [\n", " None,\n", " {\n", " \"frame\": {\"duration\": 50, \"redraw\": True},\n", " \"fromcurrent\": True,\n", " \"transition\": {\"duration\": 50},\n", " },\n", " ],\n", " \"label\": \"Play\",\n", " \"method\": \"animate\",\n", " },\n", " {\n", " \"args\": [\n", " [None],\n", " {\n", " \"frame\": {\"duration\": 0, \"redraw\": False},\n", " \"mode\": \"immediate\",\n", " \"transition\": {\"duration\": 0},\n", " },\n", " ],\n", " \"label\": \"Pause\",\n", " \"method\": \"animate\",\n", " },\n", " ],\n", " )\n", " ],\n", " ),\n", " frames=[\n", " go.Frame(\n", " data=[\n", " go.Scatter3d(\n", " x=trajectory2[:k, 0],\n", " y=trajectory2[:k, 1],\n", " z=trajectory2[:k, 2],\n", " mode=\"lines\",\n", " marker=dict(color=\"blue\", size=4),\n", " )\n", " ]\n", " )\n", " for k in range(0, len(trajectory2), 10)\n", " ],\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "passive-feeling", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9 (system)", "language": "python", "name": "py39_system" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }