# Identifications: Ident(KH,T,P,KV,T)
# Eigenvalues of Graph Laplacian
# M = 4

eigenvalues = [2.987540770327257e-14, 0.011393708584484581, 0.01799022809302411, 0.019205166524387623, 0.020056574898695646, 0.026942689589885837, 0.038557864423528355, 0.0399644943857813, 0.046225394929414326, 0.05005944751955676, 0.05205306512950559, 0.054356855635998416, 0.05708644590845361, 0.06236931013635159, 0.06637914765451347, 0.06844803164687313, 0.07236378858361453, 0.07421299939369325, 0.08507014115929427, 0.08533049973659966, 0.0946367934933326, 0.09832782808826555, 0.1083079841721642, 0.11056683065832804, 0.11174348315587505, 0.11469530564879972, 0.11606430404144355, 0.11624066514579312, 0.11714613650883943, 0.12025662889608568, 0.12196401881941428, 0.12569990175240084, 0.13713269023042174, 0.14715685070464138, 0.14734396728095786, 0.15203285685386253, 0.155433197362939, 0.15832598399886422, 0.15917151934357732, 0.16132580255131013, 0.17281797555358513, 0.17570921527152056, 0.17695707423767298, 0.17930807134620236, 0.18050672988431415, 0.18237654009196333, 0.1886865273755837, 0.19770904645122264, 0.19902272602510562, 0.19940131838919056, 0.20042269183914907, 0.20779366923707715, 0.21532923799922102, 0.2252345803054485, 0.2263955369378213, 0.23395140571741763, 0.24395667071296065, 0.24625213366961132, 0.2530835711731579, 0.25318047583149883, 0.2540141229203921, 0.25866231116037125, 0.2608718788894951, 0.2624639139489821, 0.2628752630810613, 0.26499973636074947, 0.2655684549093932, 0.2698380530077607, 0.27319572576014456, 0.2741420486349883, 0.2782309021690355, 0.28441231786143223, 0.2883580744718773, 0.2941771428516353, 0.29604184477988604, 0.29899285986906454, 0.2999912713977811, 0.30005473595468257, 0.3088710958308799, 0.3098740566641483, 0.31155297576040397, 0.31945590011634034, 0.31999764339534437, 0.3204736037009945, 0.34152343225337123, 0.3454055284089406, 0.3478781288908866, 0.3494456815406349, 0.34980664578181564, 0.3504544234894724, 0.3575783724174102, 0.3577008162878216, 0.36320296734232044, 0.36379418819891396, 0.3653022818718392, 0.36654647683041053, 0.3686352044899801, 0.37429637611213035, 0.37510677624671174, 0.3760829087622171, 0.3773130068969168, 0.37789163689403804, 0.3780976786607653, 0.3867850694442865, 0.38984988165355566, 0.3911819834084758, 0.3921225401006101, 0.3957271157289315, 0.41634600073543904, 0.41662185484765396, 0.41999901106724924, 0.42223057887376253, 0.42353140377700554, 0.4236080817657434, 0.4245981264894223, 0.424692571515423, 0.4290722571701592, 0.4307378920031075, 0.4321481398910143, 0.43219635181294325, 0.43235089230296725, 0.4354113838096869, 0.43568516224914305, 0.4371525338033733, 0.4375041625250038, 0.4388444959073941, 0.4410217809660019, 0.44496323996942627, 0.44596331177785653, 0.4480030654565581, 0.44876482962723274, 0.4523286843787995, 0.45558971882545457, 0.460598149880693, 0.4624720716484178, 0.47403178360757087, 0.48282142204994977, 0.48514002373248555, 0.485304013700684, 0.48878519789088903, 0.49279284331075224, 0.49744607690628223, 0.5004144936483192, 0.5020110800708285, 0.5026703902575871, 0.5051434153462548, 0.5125645377273216, 0.5189295781489154, 0.5196731591046347, 0.5252898527745424, 0.5302298177442928, 0.5385223126222503, 0.5398028018470106, 0.5408814831952957, 0.5427366355713814, 0.5429307328427334, 0.5436268727530896, 0.5590147912712972, 0.5613700464245588, 0.5619423036200626, 0.5621826917756876, 0.5710836854316094, 0.5740644824247363, 0.575287889384026, 0.5783036528552689, 0.5831437033284718, 0.5874468988257046, 0.5893409260326261, 0.5947637306203624, 0.5955572873914698, 0.6073507538689957, 0.6118348576762176, 0.6200784199461952, 0.620242664109152, 0.621562853641921, 0.6222659869039762, 0.6274378725409968, 0.6288268828736273, 0.6298518606561435, 0.6325504629141894, 0.6326269899743281, 0.6335858361184713, 0.6350242081050664, 0.6376887474908817, 0.6405974082372842, 0.6405979786968217, 0.6406837253606501, 0.6432728862849746, 0.6449752465975453, 0.645932894104222, 0.660826488165893, 0.6620125988723241, 0.6620434146346367, 0.6642399925297823, 0.6678128154310911, 0.6752074824912953, 0.6754488332413913, 0.6756062212383526, 0.676957101635518, 0.6771530784048786, 0.6837970401820148, 0.6840888078456892, 0.6853904580854391, 0.6909243141871887, 0.6931262802516875, 0.6949243405278528, 0.7015678200014055, 0.7051572707280718, 0.7055948674213438, 0.7063943240562427, 0.7096757727334537, 0.7119742643713206, 0.7202670500314329, 0.7210854414096989, 0.7229860957761043, 0.723158394701754, 0.7263968587719251, 0.7265203795361265, 0.7296416728924073, 0.7384423604353946, 0.7432106268313264, 0.7433071602533656, 0.7451186304191757, 0.7465749589443019, 0.7468592165680907, 0.7471862574129402, 0.7484051953922578, 0.7534463097577454, 0.7550642112527913, 0.758799842468617, 0.7591676988545903, 0.7668520819245769, 0.7706011269815752, 0.7715883867555027, 0.7753732762341098, 0.7765864366465541, 0.7808773117104337, 0.7895528923855091, 0.7938383391162489, 0.7987859639821823, 0.8039128823540819, 0.8047067578945479, 0.8074781329088804, 0.810837765980924, 0.811116669096442, 0.813189344141316, 0.8139430618252399, 0.8149561220377279, 0.8172265946529047, 0.8209817843464038, 0.8224299381143604, 0.8232439088873537, 0.8273306765586567, 0.8321304112571088, 0.8354715464369098, 0.8381937411210444, 0.8415238690368313, 0.8459828121270584, 0.8479893494417474, 0.8495526598819497, 0.8548386167686952, 0.858578916846533, 0.8652035831271202, 0.8667146145918901, 0.869969834367267, 0.8710330726342637, 0.8721376526964802, 0.8733951918894837, 0.8802944299023175, 0.8868553493051018, 0.8882913468137392, 0.888834986353763, 0.8909858240728008, 0.8923688281322196, 0.8928366133149979, 0.8932820033634565, 0.9050683494233978, 0.9071552982064588, 0.9082117458523441, 0.9097447543219269, 0.9101956598260235, 0.9138793877016342, 0.915033807603327, 0.9162894079477161, 0.9251056035990867, 0.9256531478580742, 0.9302979353683669, 0.9351132624117925, 0.9358250879537239, 0.9366836857605777, 0.937158718510876, 0.9393021159084937, 0.9407114824722498, 0.9413292236453014, 0.9422612594815264, 0.947285636639837, 0.9487630656496492, 0.9529523077368646, 0.9557375676285522, 0.9573546041013133, 0.957732273199981, 0.9616252425931573, 0.9621166786211017, 0.9658114152189903, 0.9663429850744266, 0.9752347011514434, 0.979324262043584, 0.9805743608769584, 0.9826980406416201, 0.9843382581426433, 0.992884878637136, 0.9933378968858367, 0.9966096520314998, 0.9984852977947355, 1.0089929248632243, 1.0097832460231513, 1.0124321976470232, 1.0139366543398507, 1.020940485459203, 1.022197261465192, 1.0253166199265695, 1.0281365762994539, 1.0325008817977526, 1.0347236735930956, 1.0362344752060162, 1.0382909330698813, 1.0387538492891963, 1.0447494405446207, 1.0462034189591805, 1.0474925729165887, 1.0488780748727276, 1.0500925380816049, 1.0540062617250514, 1.0594161574175178, 1.061669669387711, 1.062707798621736, 1.0646347780723662, 1.0663386748253456, 1.0695328383387888, 1.070689569799258, 1.074507870905, 1.0767638452895387, 1.077265620352015, 1.0790668641235406, 1.0828036000613022, 1.0836846638483781, 1.0840974235734635, 1.0903786566383846, 1.091535081210891, 1.0935611865737296, 1.0950160357941825, 1.0994730153553338, 1.10098734538735, 1.1071793016602258, 1.1075534226750674, 1.1076046894354974, 1.1155141759030156, 1.119170031820431, 1.1193314525809177, 1.1221458710075798, 1.1229179406848013, 1.1308423197482584, 1.1356333332696074, 1.1377090308359825, 1.1440461105370916, 1.145170945021925, 1.146994628516546, 1.1524397315646402, 1.1587541508404497, 1.1612423940977818, 1.166529165383291, 1.169215860488367, 1.1708688741076836, 1.1718046879623616, 1.1757648646968275, 1.1767595540115672, 1.1816250989142458, 1.1827688086277857, 1.1865539994456145, 1.1870651386693767, 1.1930017175315213, 1.1939330271978976, 1.199316218358509, 1.1994997455990517, 1.2051996165027556, 1.2077893371953987, 1.2096953509510993, 1.2166100506592277, 1.2171087071052828, 1.2179491039700563, 1.2255264946761968, 1.229679420407147, 1.2357191980383504, 1.2380131646546655, 1.2407910028672389, 1.2433353766161945, 1.2445202639020616, 1.2453447378413816, 1.2565364075419914, 1.2603527739384868, 1.2608143058318075, 1.2616159586767755, 1.2664154114470798, 1.2717193546277021, 1.2732095516200417, 1.2773381734854232, 1.2780268057697088, 1.281894836003236, 1.2848347067638175, 1.2881235145417822, 1.2932348902729431, 1.2969086221126485, 1.2981636449081844, 1.3005663656117943, 1.301712673420496, 1.3046039483662883, 1.3060704209341258, 1.3106557805735473, 1.3107291006668638, 1.3136462003226037, 1.3139140949180013, 1.318534834935662, 1.3190002053962282, 1.3255937236182105, 1.3258342534726486, 1.3297213654475162, 1.3315722886566768, 1.3319625077569892, 1.3406015591575766, 1.3454843996636874, 1.3464698053090582, 1.350927793045809, 1.3511129282427412, 1.3533339302487093, 1.3552887491060088, 1.3684709901310521, 1.3691444147107608, 1.3695305326126217, 1.37812285197613, 1.378901916219855, 1.3796162772466922, 1.380234135982549, 1.3817892175092763, 1.3827416744366126, 1.3863648541064284, 1.3909629443533655, 1.3936192808644572, 1.4003454832126694, 1.4016112822669986, 1.402601262112176, 1.4038750652357812, 1.4055370224492747, 1.4114227096596617, 1.4155046618692155, 1.4187666317801777, 1.4237713627784099, 1.4271383014336125, 1.4302154739576398, 1.4304488189323947, 1.432016645782152, 1.4326892641889226, 1.4334800055333508, 1.439463943316616, 1.441588981811788, 1.4436875998255443, 1.4458458935399463, 1.44750374176336, 1.4490089231568746, 1.450658065539785, 1.4515365274231167, 1.453067106539713, 1.454665070315644, 1.4557630414831255, 1.4597569777886232, 1.4608654597178297, 1.4620462288464353, 1.4622702990478493, 1.462793965005234, 1.464262404024081, 1.4657872151768194, 1.4691245432072237, 1.4725311120045521, 1.4728525472744491, 1.4782614566976784, 1.4821985510318463, 1.4886850967787617, 1.4906472873231509, 1.4912080017368368, 1.493975806439594, 1.4967730299579163, 1.4983881195510067, 1.499312935043018, 1.49987275890448, 1.5012443714516674, 1.503714846782456, 1.5044271981513455, 1.5045953874317706, 1.5118481541940036, 1.5129601393750125, 1.5198391551993424, 1.520378376797747, 1.5216812843868512, 1.5223184518673032, 1.524666002268577, 1.525625943472744, 1.526264340310882, 1.5264466760425406, 1.5286530495779134, 1.5309630703092607, 1.5335813462723815, 1.5363378549158684, 1.5402160863195211, 1.540398658275701, 1.5406456626082132, 1.5433028468452408, 1.547298577704489, 1.5480221064731525, 1.5485007749232405, 1.5494140186601766, 1.5515940417537029, 1.551771410124006, 1.5550807601053287, 1.5579995873922126, 1.5605056478688921, 1.5680739489218176, 1.5687269675343596, 1.5692227381796047, 1.5719960249942584, 1.5755496827830011, 1.5780333672720743, 1.5824284801680288, 1.5879994799129011, 1.5905083917869915, 1.5930235675777857, 1.5950302107498942, 1.595502076884795, 1.5976296755424342, 1.5982718848837199, 1.5993120776867962, 1.6060870302552, 1.6081365972764354, 1.6093292616189019, 1.6103962797185751, 1.6104882427446872, 1.6180053503622842, 1.6181761877030096, 1.6296705926479569, 1.6303684431204128, 1.6318587537804603, 1.6324422977221615, 1.6327078655350482, 1.6383895596478248, 1.638509309465832, 1.6410986552756635, 1.6413462979203124, 1.6451146281364564, 1.6475584889827788, 1.6507242437828524, 1.6529918644249066, 1.6543641937791016, 1.657065287316395, 1.6584290064406044, 1.661854316020034, 1.6629866278919536, 1.6659259851737946, 1.6664288228386464, 1.6702500645950957, 1.672104350685852, 1.6768534094101986, 1.6773985719273519, 1.6775398910667185, 1.6777077633167288, 1.6794170463844484, 1.6817895861174323, 1.6836953615956054, 1.6846977365787916, 1.684830561728512, 1.6850210221565545, 1.6867002868281522, 1.6874214911983216, 1.6883798398575431, 1.6926841246494557, 1.6960395899523188, 1.6960507249723618, 1.6962877951262327, 1.6977870717705772, 1.6989353800916063, 1.6998388580276673, 1.7043101959588405, 1.7045542504589222, 1.7063681145063692, 1.707081935418946, 1.7079771805355255, 1.7100525252325018, 1.7102273403511594, 1.7163932732390197, 1.7167209185090713, 1.718736678190631, 1.723857293644796, 1.7246448295094503, 1.724916621388319, 1.7251386465708167, 1.728542632438181, 1.730376052687505, 1.7320944474928193, 1.7327555636811445, 1.73299178357842, 1.7342863939522277, 1.7368307037465418, 1.7369463620931298, 1.7381517439869676, 1.7405337059969297, 1.7410220679574204, 1.743313030315003, 1.7440899814527575, 1.74438200345181, 1.7476875062500623, 1.7514980589206466, 1.7542778110635275, 1.7543505682963494, 1.7633050767173615, 1.764742789230435, 1.7656489668027193, 1.7704610589813745, 1.7730561928100956, 1.7771802094087872, 1.7791473679458694, 1.7816676018414261, 1.7833657122116244, 1.7846651441244976, 1.7859762461404551, 1.7873860696071195, 1.793561250631984, 1.7935637910321316, 1.796034661062099, 1.7980324178512284, 1.8015519668578437, 1.8016276764036896, 1.802058641409264, 1.8036340891107077, 1.8053586830685695, 1.8054981003666262, 1.8070929126637953, 1.8129157001992449, 1.8157580727103437, 1.8191212704430662, 1.8194759333613486, 1.8208897500572572, 1.822479383793045, 1.8245668857348654, 1.8261607850263348, 1.8280756035941115, 1.8282300692899671, 1.8302695122289616, 1.8310868330898633, 1.834015038172716, 1.8387491511462635, 1.8388265234352985, 1.8394850416493012, 1.8399080492907907, 1.8400220602185335, 1.841276110833187, 1.842760789957319, 1.8432496639701008, 1.8452942470276144, 1.8493428869132764, 1.8497986152796355, 1.849876385027956, 1.8505244043629554, 1.8516378971132381, 1.8524228489560297, 1.8526415652242965, 1.855570008959151, 1.859954429162897, 1.8623344259276866, 1.8658746477906503, 1.8710670012695139, 1.8729621126662006, 1.874624466922274, 1.875777316420847, 1.8772780142102603, 1.8778570039569713, 1.8790897847315235, 1.8809561712672145, 1.8815319923875102, 1.8823747336423053, 1.8852921598586, 1.8869561967642081, 1.887436678096973, 1.888736926095086, 1.8903127451044064, 1.8914105012424354, 1.8940391826404952, 1.894131812418302, 1.8978469549393089, 1.8979974707191236, 1.900744585097428, 1.9010734974342618, 1.9027981914581042, 1.9045219912358378, 1.9054806243791589, 1.9074435796581215, 1.909375322529662, 1.9108282298361385, 1.9130754209899234, 1.9134053211985091, 1.9136965369638048, 1.9177803493868872, 1.9224166690173972, 1.922650142534684, 1.9233188800989864, 1.9266132728464458, 1.929616319597426, 1.930163193400453, 1.932427323854903, 1.9339987706407435, 1.935469199117754, 1.9400443511012064, 1.9400974697777917, 1.9402911574843629, 1.943420509202929, 1.946848354773719, 1.9484007003040076, 1.9498366367398534, 1.9520121171502423, 1.9535685833991465, 1.9574262185057067, 1.9605279166641794, 1.9625457609436652, 1.9628285643811076, 1.9645312711905927, 1.9660431258908568, 1.9665993832972979, 1.9667639983349612, 1.9675862548500571, 1.9698317747792085, 1.9718110449216433, 1.9739116329607145, 1.9742753060625828, 1.9744705890648353, 1.9745401995801803, 1.9797794097027992, 1.9802066979197865, 1.9805061549591914, 1.9813640756718018, 1.9827491079976225, 1.9843176170049026, 1.9899022488514893, 1.9908038563642003, 1.992245045599487, 1.9927657828552277, 1.9953113303702201, 1.9967241686983284, 1.9971821952536513, 1.9974406628170167, 1.998403818869165, 1.999999999999988, 2.000112193983247, 2.0018556375117367, 2.0028423913623983, 2.004440642322186, 2.005583964456325, 2.0061949332899087, 2.007838580845949, 2.007959228946998, 2.0090236404348403, 2.009736292185083, 2.0100925220983195, 2.0108855644040173, 2.011169343725366, 2.0128228002289843, 2.0128246800937486, 2.013025806169977, 2.014735809520793, 2.0175320737674727, 2.0175850848024455, 2.017890334996737, 2.018519597769097, 2.020668459090394, 2.0206822503829494, 2.0220625340206455, 2.022067736189982, 2.022468454522378, 2.0227562968624, 2.02629592983509, 2.026736457343571, 2.0270876274364196, 2.0273133310365714, 2.027348076432743, 2.029003660208691, 2.0299360473486625, 2.030317652845101, 2.03180535464438, 2.032292703790878, 2.0326040425068745, 2.0335917407151505, 2.0341498264841458, 2.034362477477811, 2.034999587845883, 2.0361353434826466, 2.0361544889992746, 2.036886706330812, 2.0373275104026822, 2.038226778840789, 2.0390831926519972, 2.039555351535491, 2.0399030039574617, 2.0406425270895885, 2.04067921258795, 2.0424915986379766, 2.0425241153357585, 2.0440844167795564, 2.044699752023228, 2.045642478512045, 2.045955631289473, 2.0463967812300625, 2.0466842820120665, 2.0478734158482057, 2.047907448874056, 2.0487282531549855, 2.049574989851806, 2.0504280658535627, 2.0507216219967104, 2.0518052863488094, 2.0520049498046937, 2.0531131003746443, 2.053495600722586, 2.053745698279765, 2.05396467480949, 2.055809984724139, 2.056546604563123, 2.061056776050113, 2.0614623797779723, 2.061977007454699, 2.0626518033103807, 2.062689340746544, 2.0643472940208163, 2.0657335869338938, 2.065923029371315, 2.066211790631514, 2.066740412307051, 2.068581213098879, 2.0685842853197918, 2.0688962693207227, 2.0690688531323627, 2.0692365536864252, 2.0705453037131223, 2.0726088392193027, 2.073009937779426, 2.073890801256596, 2.0741263926630835, 2.0766348243562143, 2.077179476121106, 2.0784987688416625, 2.0789382910509273, 2.0802277050239844, 2.08042915422428, 2.080523224471806, 2.080652776862429, 2.0825301077411713, 2.083282816398937, 2.08389652641843, 2.0843490887306197, 2.084787478413949, 2.084930953612818, 2.0863227116511194, 2.0875835322987375, 2.088123034685815, 2.08854897549394, 2.0887071055917077, 2.090762352158401, 2.0923294980966247, 2.0926690663167324, 2.093732930089578, 2.094122560280363, 2.094828185758375, 2.0951998461121653, 2.0972282881903532, 2.099635176372963, 2.100746239743861, 2.101179941057858, 2.103057533972883, 2.10396371060933, 2.1055944927000603, 2.1072127214607037, 2.1073481568442376, 2.1089952926113975, 2.1149019214795004, 2.1154946978994964, 2.1162909223904327, 2.1185727433196404, 2.1191540546552576, 2.1204234849704195, 2.1210195228427264, 2.1216145572567053, 2.1250271258685216, 2.1254493733687068, 2.1270863951329266, 2.1277427973475884, 2.129141362440791, 2.130487417455424, 2.1318669264151078, 2.1324082658275993, 2.1337774179369484, 2.1340660937927995, 2.137124800174581, 2.1374919460796495, 2.1385575239120165, 2.1394894875066135, 2.140573520038505, 2.1413951401081146, 2.1418458214770424, 2.1425425906035818, 2.1464247525379725, 2.148097735599176, 2.1502777393333794, 2.151431899342384, 2.155210050428856, 2.1556941392158584, 2.156253286902816, 2.1564044572058436, 2.1580746454860105, 2.1586890633667153, 2.159669774188204, 2.1614773158370593, 2.161861978170235, 2.1630583933848495, 2.1658467898791014, 2.167024333734631, 2.167664099844742, 2.168076799087574, 2.1695904340576706, 2.1702703785090356, 2.1726841131647836, 2.173504839817037, 2.1746056465846397, 2.1751506270925125, 2.176418523216199, 2.180888378983064, 2.1814685119433785, 2.1828736584988926, 2.1847000034276434, 2.1852458661319187, 2.1853023217754766, 2.1897763069352703, 2.1918907577646114, 2.1935523521231555, 2.1986951247281756, 2.199978144310464, 2.2007941469287147, 2.2023604430114263, 2.206682570806058, 2.2105360102584095, 2.2124890404072617, 2.2129354127261953, 2.2150462030536167, 2.215067588529672, 2.2159037603908107, 2.2159800245290358, 2.222195038586887, 2.227782287923378, 2.2312790330763157, 2.234703484053551, 2.2359380246617233, 2.239377849200084, 2.2397996453111895, 2.244835631735623, 2.248473063596433, 2.249484219893801, 2.2524426928344243, 2.2561978605920676, 2.2568196952344004, 2.264931578884438, 2.265963137345175, 2.268197119873684, 2.273584490825641, 2.274700276361071, 2.2751394257619917, 2.281736876302365, 2.2829174530605867, 2.2852931809887567, 2.2860829378942933, 2.2869369874226666, 2.2894344602083074, 2.289759203517459, 2.2938612360985546, 2.2951608809089943, 2.29696733472035, 2.3004563354902308, 2.3004846029300228, 2.303256573043495, 2.3051541297076983, 2.3104604842398127, 2.3118621904568504, 2.312941732994712, 2.3151749652891227, 2.317776544364591, 2.3205981005918574, 2.3253909916662603, 2.32555641983871, 2.3293356571307853, 2.332068696408886, 2.3350309043901696, 2.3406756724591715, 2.3455159238229477, 2.3471541414759756, 2.3477470404400784, 2.350292697316266, 2.3505297722707095, 2.351370319913274, 2.3550069919287746, 2.35631834929372, 2.3607388985255335, 2.3611763486546034, 2.3626230363361627, 2.364993951840217, 2.3664224456694307, 2.366689216965348, 2.3676793324131507, 2.368439827486116, 2.373601891873257, 2.374368094906533, 2.376601856122461, 2.378813382438433, 2.3831310280487115, 2.3833096711018515, 2.3868671982978267, 2.395515731940136, 2.396319764353085, 2.398826753092053, 2.4009249371076264, 2.405651824182318, 2.4056909995143, 2.408496360806698, 2.4100350702465088, 2.4120740394206472, 2.419356088166547, 2.420894107927158, 2.435100364774026, 2.436179537933464, 2.437464152668934, 2.4380581363164873, 2.4417907442940514, 2.442690161271829, 2.4485660236761504, 2.4508636219056505, 2.451330518636986, 2.456347436521323, 2.4591900178512143, 2.460960670366339, 2.4740434080559184, 2.4749541233506194, 2.4756047688928047, 2.479118878761743, 2.479138061278457, 2.483631697526765, 2.489120580222798, 2.4914638304713685, 2.491493096569059, 2.498320788299979, 2.4999849456097705, 2.5038081082169237, 2.5050677553614458, 2.508027618162409, 2.5100397804742673, 2.514874863048283, 2.515228614011481, 2.5153398085805816, 2.528152774955974, 2.528216649075147, 2.532397592504886, 2.5351885383610795, 2.540824599235843, 2.5419345305598853, 2.5432223811984267, 2.5475996949178974, 2.5480236727932404, 2.5514878503781073, 2.562621157932773, 2.5630207661497897, 2.5631362323947533, 2.5739224444318034, 2.577870972978452, 2.5824137579376303, 2.589310144518947, 2.590824895017573, 2.591876984397401, 2.597298599054919, 2.599900380052813, 2.6021574678441666, 2.6064251214287473, 2.6121113199975308, 2.612285466206821, 2.615219047277824, 2.615757622865582, 2.6162878423709923, 2.6402174995462913, 2.642708465514436, 2.6430130660681974, 2.645410145072153, 2.6507617660335745, 2.6522378910167825, 2.6579875072549726, 2.661821100607381, 2.668530254525719, 2.671434316177304, 2.674591127604199, 2.674799044969181, 2.6785571243662507, 2.679256694000949, 2.68390261581074, 2.6864810103996626, 2.689556034127037, 2.6909246710251677, 2.6918372666719677, 2.692667930798252, 2.692676386362214, 2.6955408259824116, 2.7022189334875484, 2.7047996620389085, 2.708051135898087, 2.71001659798808, 2.711775927500587, 2.7173035701387276, 2.7184833959681516, 2.720683047458035, 2.7272600681921877, 2.727880697703694, 2.731134869991849, 2.7341414083297586, 2.7377745788481906, 2.738176570807293, 2.743765807741298, 2.7441722762719483, 2.7481565522644633, 2.749398036048142, 2.7503324758143903, 2.7518402641665465, 2.7519951455586424, 2.75360052248607, 2.754296600429656, 2.755243911606492, 2.758132829584313, 2.759050013010076, 2.759405816613858, 2.7615057593082395, 2.7635975999375497, 2.763917195611045, 2.7660988473115875, 2.768601933095693, 2.769629080864613, 2.7699659416034454, 2.7702992686093992, 2.771638941176443, 2.7738656512362203, 2.776675699546299, 2.7768933068160973, 2.77862812852649, 2.7807217688296197, 2.781772100750944, 2.784398649566138, 2.785114765959103, 2.7870477440149655, 2.7876540379872607, 2.7876669733338306, 2.7879851986879127, 2.790102846476724, 2.790739222810082, 2.7924344188726944, 2.7933229995994004, 2.793545502681032, 2.7950091855323485, 2.800212584297782, 2.8024479229598334, 2.803017445426344, 2.8037661479133056, 2.80474414990378, 2.8050261362449445, 2.8098088304432496, 2.8112937243745515, 2.8123464054909957, 2.814211764909917, 2.817429966520973, 2.8184658418747346, 2.8199540612793705, 2.823202866480112, 2.823975803237325, 2.824024628245001, 2.8242177121694962, 2.824520743917567, 2.824852880304042, 2.825375389995718, 2.8293810277663147, 2.8299200639318296, 2.830103223109135, 2.8316364994435217, 2.8320864718835894, 2.8333095372672794, 2.8355977631614286, 2.8394288572232202, 2.8400784073239884, 2.842392429710659, 2.842646857263091, 2.8427472000150233, 2.8429017782045136, 2.84477160915354, 2.847889082905527, 2.8483099806054715, 2.8494945768365576, 2.8520220434068806, 2.8522801314583694, 2.856415298095495, 2.8571068436859677, 2.8593443522805035, 2.8596493496231914, 2.863044311172202, 2.86499752807918, 2.8672354118831542, 2.8686102379155978, 2.868751357853285, 2.870934543074386, 2.8712079611861476, 2.8713399082169335, 2.8737128169303716, 2.8830749475903232, 2.8831201144047265, 2.8834627596450364, 2.8840010052260157, 2.884166380542088, 2.8875611207043934, 2.8877849416267987, 2.88944930644711, 2.890442616651665, 2.8917992712666276, 2.8952963669398657, 2.896329717049503, 2.8973276185871724, 2.8982531032810916, 2.9025862880165305, 2.9048782929865915, 2.9102797357413484, 2.910295023832048, 2.914814807754091, 2.9154138044079327, 2.920479471820594, 2.9204921179940264, 2.92361471454077, 2.923957958736605, 2.9266831377402385, 2.9271999616214956, 2.92862273057284, 2.9314500737463733, 2.9315326489348856, 2.9331220192102645, 2.9334901452426583, 2.935428616464169, 2.93650978708814, 2.938559748538172, 2.939211395512071, 2.9416476303683083, 2.945740985273867, 2.9478056583627956, 2.9484388597449804, 2.951054844018431, 2.951102314750615, 2.952746996471293, 2.9527548181945322, 2.954644938395607, 2.954925857182645, 2.9580291638679084, 2.9593771063526026, 2.959703608167035, 2.9599680305202374, 2.960219441201276, 2.962264383422426, 2.962864256061555, 2.963425369690029, 2.9639585356578526, 2.964923333617531, 2.965917060725203, 2.965996845739478, 2.9679514067264856, 2.9702360197131865, 2.970363503089819, 2.970375015938328, 2.970524329954412, 2.9711654659017714, 2.972330966358688, 2.9741013386244686, 2.9758418259767847, 2.9758785629542195, 2.976528375275394, 2.9776477982865703, 2.978171650781436, 2.979744297103248, 2.9805264584770144, 2.98440521022687, 2.9859262449221857, 2.9859614201918876, 2.9876360154546435, 2.989300716665648, 2.9901039268080547, 2.9904929212257714, 2.9918974734869987, 2.992153009037821, 2.992935334408062, 2.9932475071849076, 2.994430792296172, 2.994696952567096, 2.9955846047419747, 2.9957963498761546, 2.99635464902728, 2.9966335669458846, 2.9970306633389, 2.9974088474817306, 2.997646675258178, 2.998942724090738, 2.9995569354174765, 3.0011975155300044, 3.0017441033504833, 3.0030511586426627, 3.003759645156104, 3.0048773569748914, 3.0069567085220963, 3.0090766231611035, 3.010487314387971, 3.011092726982986, 3.012677243305274, 3.013959025055465, 3.014357171838498, 3.016733678768731, 3.0167701808637752, 3.017390124573304, 3.0186478763780378, 3.020716059725516, 3.020728665836258, 3.021930162535545, 3.022503984924624, 3.025675146076339, 3.0257032964998003, 3.0271595803253235, 3.0274251526263756, 3.0281195827334995, 3.0302442473714986, 3.030616165438325, 3.031925344674178, 3.032485566275678, 3.0327236125393084, 3.0327704732805247, 3.0350510277179454, 3.03713649647022, 3.0375810813766924, 3.0377842150064405, 3.0391932108877615, 3.03999993872723, 3.0405817114951543, 3.041143418401661, 3.0424670680208084, 3.0474252254760392, 3.0484144804708566, 3.0498032676695987, 3.0517312896578166, 3.0526830780673553, 3.052867021845148, 3.053052454082505, 3.053827878021308, 3.0545504986315644, 3.054817521414319, 3.055208941007167, 3.0564911842554237, 3.059959371835241, 3.063221935068783, 3.0641502057974868, 3.0652011402438464, 3.0677452337120896, 3.0712113910370316, 3.0713325053239164, 3.072926444827829, 3.0752796451190734, 3.076780377984172, 3.07813756739225, 3.0781526368542185, 3.078309037537102, 3.080203887586665, 3.081304182538489, 3.0817677384281645, 3.081848200083945, 3.0819524143404746, 3.0823423905714136, 3.0824854506199175, 3.084059560339082, 3.084159331675445, 3.085039652861811, 3.0873146584120033, 3.0881513673583574, 3.0883583017052545, 3.0892053360182206, 3.0892908645290516, 3.090983370690069, 3.0935757707065625, 3.0937695254901634, 3.094063583725682, 3.0956687931175173, 3.0968011753354667, 3.0984466835477713, 3.100281592457092, 3.1010904002300523, 3.1012234310163667, 3.1019527183679596, 3.1037303627373225, 3.105325718481048, 3.1079439506301307, 3.1096883404989475, 3.1099295582834756, 3.1119533934977825, 3.112664632823454, 3.113338944410715, 3.1147614815181037, 3.120607530002218, 3.12218891598689, 3.123413465156952, 3.124120574856329, 3.1256014480849252, 3.1271016738863655, 3.1278225212004678, 3.1304274530261917, 3.1307642536527407, 3.1317048282682363, 3.1345769576821834, 3.1368540700408434, 3.1368733895517864, 3.138781523219971, 3.140648171604832, 3.142311579105921, 3.142336844390496, 3.1430126413341806, 3.1435583104695692, 3.1444411340277147, 3.1451585415075045, 3.1460099839793934, 3.146867592081632, 3.1478558449023266, 3.1491210281835547, 3.152740113266108, 3.1532708431139533, 3.1540167546624054, 3.154354330896569, 3.1548836154609954, 3.157938908423426, 3.1582092254411087, 3.159046938710042, 3.161733302377509, 3.1635936537342486, 3.1645582040502838, 3.16637368941588, 3.1699668854652048, 3.171589745024674, 3.171960136566548, 3.172611724850578, 3.1754683283013243, 3.176189069415255, 3.177297583117931, 3.177555927379234, 3.178478265088488, 3.182287770384676, 3.182371050684422, 3.182682020736302, 3.1828056039827133, 3.1835960623022084, 3.18376944719907, 3.1844794362182665, 3.1845459280688653, 3.1850063233344765, 3.1869612269144385, 3.187297661641805, 3.190175054701583, 3.1906597445232356, 3.1915874152387733, 3.191950039868263, 3.1944600478514036, 3.1947580477107587, 3.196756456056778, 3.1973747274760345, 3.1982103705557874, 3.1985658544018887, 3.1991147307339842, 3.2005095297291497, 3.201611017410648, 3.201726352301034, 3.2034318746714168, 3.2042487477279495, 3.204735370509169, 3.2052859355036394, 3.2056842700278083, 3.206060305158408, 3.2081966738100065, 3.208266753290262, 3.209013183971998, 3.210114045511885, 3.21038094533048, 3.2126361339867597, 3.214589892088493, 3.215400081968582, 3.217368990748334, 3.2176541508693894, 3.2176986386163566, 3.2196066236388945, 3.2199065574084216, 3.220592290439756, 3.221838100405511, 3.223846570302468, 3.2243876795014397, 3.224709913038626, 3.22536257297957, 3.2254773731770707, 3.2256772101841835, 3.2269726383115676, 3.227872074025415, 3.227964480986679, 3.2283844616629938, 3.2287157344501027, 3.229157248356083, 3.230669132758253, 3.2310384106365366, 3.2314544546160167, 3.232416626441489, 3.2338656897242957, 3.2342245695758827, 3.2347724099411868, 3.2357849427718124, 3.2358960381641273, 3.2364328552450385, 3.2366699962742174, 3.237372004962394, 3.239763798179487, 3.240085558635061, 3.240364698693145, 3.2432531160014575, 3.244186116832472, 3.2443723089314727, 3.245533856621446, 3.245805655049566, 3.2461105497122738, 3.248523057938602, 3.24867758548876, 3.251426678596181, 3.252270315737522, 3.2524629464040222, 3.2528020515840708, 3.253763475978739, 3.2554169982847743, 3.2557995760308724, 3.2595953406858813, 3.260558241930228, 3.2612491280107565, 3.2619997564119334, 3.2657954316856572, 3.2676262939219813, 3.2677143527079577, 3.268147040173423, 3.268706083677126, 3.2693126561047396, 3.2699589257673622, 3.2709313456853417, 3.27231786735553, 3.2728438243991342, 3.275661315554701, 3.2759934941571047, 3.2772993633037317, 3.2818609545322577, 3.2839308269845064, 3.2843031239917324, 3.2847644339338915, 3.285107728926275, 3.2852913179494543, 3.2863369807491716, 3.286498232332696, 3.28705386287588, 3.288287881530002, 3.2884316576012247, 3.2907170921087827, 3.2927278287098547, 3.293597778837797, 3.294222329969681, 3.295359315732048, 3.2957000075095144, 3.2960172567788057, 3.2964407440515857, 3.2967151072393985, 3.2971577108390706, 3.298578955187363, 3.3002383417930266, 3.3013787803061567, 3.302236288690243, 3.302298628975358, 3.30232929015276, 3.3030504784579704, 3.3040700415929964, 3.30570872231025, 3.3065045578163015, 3.307336432511763, 3.307663630479599, 3.3082139764531977, 3.310295718617134, 3.3115850541984315, 3.3117560709856964, 3.3131687564418377, 3.31326280424711, 3.3145908281627174, 3.3147667411362, 3.314960431650953, 3.3171657991633974, 3.3200755747583535, 3.3210329994013783, 3.3215994333881085, 3.32247080035432, 3.3254711157491057, 3.327391876510854, 3.3279056732316232, 3.3299175877974645, 3.3299203122796435, 3.329924875280976, 3.3306169702743706, 3.3312557488183616, 3.3331909081365882, 3.3341023594168138, 3.336155533043326, 3.336289840950082, 3.3372093339127207, 3.3394965461639017, 3.339672699315173, 3.341647400558323, 3.342644849480798, 3.343525394183488, 3.3446306231851843, 3.34575704225513, 3.3458003261766014, 3.3468961235502444, 3.3476528708270643, 3.3482253503439487, 3.34831792858172, 3.3505784930209117, 3.3513528503222507, 3.3513680358611793, 3.35588418376745, 3.355915018845312, 3.3559836599445694, 3.3569934679762623, 3.358872645338739, 3.359302724952688, 3.360570685555864, 3.3616788571988754, 3.3617675877775386, 3.3632024361781716, 3.363798352515948, 3.3645052322046265, 3.36570552982758, 3.3666128503747865, 3.367132115175654, 3.3679226022535533, 3.3680814192247275, 3.368229133836393, 3.370120298928797, 3.370290761294894, 3.370870033335115, 3.3726379763423644, 3.3734699071241243, 3.3739490075619725, 3.376120381687158, 3.3776444775105796, 3.379535527921644, 3.379542346150248, 3.3801074968588356, 3.3811757870706214, 3.3818206530757338, 3.3832284737149037, 3.383942741026671, 3.3840488856997464, 3.3842968720592985, 3.3846728438904266, 3.3864887277251716, 3.3874179555551334, 3.3888293689501783, 3.3894029555016565, 3.3895385366734683, 3.3919827393919255, 3.3931761487902583, 3.3932012193563756, 3.395077935931695, 3.3954593870376897, 3.396285364281517, 3.3987527219194282, 3.4000939895391635, 3.401302774813969, 3.4019332163466784, 3.403265594343304, 3.404905022835759, 3.405263275022103, 3.4056501287759486, 3.4080749392428045, 3.4085620296393793, 3.4090048489658735, 3.409966471854134, 3.410509157906822, 3.412210714369697, 3.41378248874042, 3.4138430562696556, 3.4140451451376075, 3.414240820058669, 3.4156901673208626, 3.416251009626866, 3.4174486959664483, 3.418520857215625, 3.419186129915274, 3.419434509181663, 3.4194514926327626, 3.420507077339434, 3.422336765629458, 3.4238929791935644, 3.425302022263014, 3.426961416656899, 3.4278948814088874, 3.428681562911424, 3.431270617920936, 3.431398338470686, 3.4329102786142696, 3.434063574713905, 3.4354764458489475, 3.436651126040626, 3.4372789665334107, 3.4377154516941175, 3.4391119357359736, 3.4396126035448384, 3.441091355419857, 3.4426857701935445, 3.4435457393742435, 3.4457723358085657, 3.447436648262413, 3.4480208754262587, 3.448278105759993, 3.4513414292487443, 3.4542869391803137, 3.4564960521882013, 3.457545142415912, 3.457662963910973, 3.459737972688002, 3.4618761308406447, 3.461999150001098, 3.4622453569083933, 3.46321703604099, 3.4659046204311497, 3.4687251774235337, 3.470960740925566, 3.473241090562434, 3.473552948519786, 3.4736363556435474, 3.4758156970479064, 3.479244312883765, 3.479681634111942, 3.4813062693837766, 3.4815640424055347, 3.482665949208817, 3.484650258206508, 3.4849464084828137, 3.487534115331053, 3.4901942910792676, 3.490938342411149, 3.494923174271417, 3.4952605332035986, 3.4955980075216795, 3.503481982183492, 3.503805205779471, 3.505955269438879, 3.507564240997724, 3.5078577014094647, 3.510052322287399, 3.5117428909152437, 3.5118347753211, 3.5133056933917715, 3.514138932808186, 3.515001674376644, 3.515090728807184, 3.5150938716570304, 3.5162341541110167, 3.516332170030243, 3.517708490013885, 3.5192823518204945, 3.523109559784222, 3.5246110558976773, 3.5274315463478096, 3.527518458315147, 3.528898492013402, 3.533334344902103, 3.5351274052521227, 3.5361844538972855, 3.5366086048266956, 3.540181870113044, 3.540731496327475, 3.5414753518754027, 3.541702957802428, 3.543225751342067, 3.544334238649214, 3.54463965969214, 3.5448422259395307, 3.5475107277866234, 3.549686457874785, 3.54988184969432, 3.5508739824086875, 3.5521956098012306, 3.5522632771513916, 3.552608436699595, 3.554377000649061, 3.5551059581624433, 3.5556361091098174, 3.5566637491829414, 3.55958700007373, 3.560410316914341, 3.5608565400169625, 3.561217864909615, 3.5613871083112087, 3.5619599359966654, 3.5637418893601134, 3.5655806398744403, 3.5666711877036508, 3.567814411102431, 3.567815818248797, 3.5681761055121974, 3.5706382751817207, 3.570660357960205, 3.5723284931679595, 3.5735143465865997, 3.574970400756627, 3.575994899689884, 3.5772512447069578, 3.577381937766561, 3.5813371609739124, 3.583316140675091, 3.584487860520857, 3.5859544246769355, 3.5867024477728697, 3.589638318748865, 3.5901008871797866, 3.5907729302720988, 3.5931896183954684, 3.5934921069682715, 3.5946989202524184, 3.5950724481156513, 3.596748018750001, 3.597456890979154, 3.600514893076774, 3.6039186092114566, 3.605679259705845, 3.606090689955143, 3.6079302563082067, 3.608069831639564, 3.6120025252815506, 3.612345530940872, 3.6137490569924884, 3.61470802621065, 3.6159314732710817, 3.6164949952876744, 3.6184739712567224, 3.621074345379551, 3.6210945816335838, 3.6224201556811795, 3.623408544034992, 3.6302849116716738, 3.630869341144349, 3.633484874406527, 3.633956097253457, 3.6342521097912486, 3.635009745554195, 3.6370210494509867, 3.6414910666173945, 3.6420874155217344, 3.643465564639304, 3.6438779921811952, 3.6452711762148753, 3.6465321959596193, 3.6467931469958024, 3.6471097320998145, 3.6482409617716463, 3.6496311071315004, 3.6500345288825127, 3.6509898510761847, 3.6518147480531677, 3.652020019527686, 3.6529153560108205, 3.655405293381108, 3.6571838838344406, 3.659044695018202, 3.65934381847932, 3.659816990513741, 3.660681159736269, 3.661320210928763, 3.6627682614687163, 3.663312591691905, 3.663553877192095, 3.6639847471354416, 3.666085937863076, 3.666216999434969, 3.666317201686691, 3.6666134791748854, 3.6692638565506748, 3.6714759710454166, 3.6757738594578906, 3.678015743785847, 3.679215227627264, 3.6794485052323567, 3.6810237726295707, 3.681608470504593, 3.682422107351582, 3.6825112363992947, 3.6826569841961727, 3.685056239639774, 3.6861252332500434, 3.6868999129307594, 3.687579754783735, 3.6882285947308864, 3.6904022802208574, 3.690488722926903, 3.693740556925486, 3.698114196189414, 3.699038376522315, 3.7000529859446827, 3.7014587693631102, 3.701624285716108, 3.7032970591646164, 3.703812153306847, 3.703903408092378, 3.7058340191672707, 3.7065461787380536, 3.708830452250052, 3.7102363351912713, 3.7129225591140913, 3.714282526432958, 3.714599483097671, 3.7148074477330595, 3.71491032643955, 3.715470417282719, 3.7155926134473827, 3.717071609366924, 3.7177492429770527, 3.718803395877735, 3.7205304734418094, 3.7215936702028793, 3.724369127752039, 3.7251022314357574, 3.725121744461205, 3.725423517501287, 3.726779489812483, 3.727777269698918, 3.7285354442394403, 3.730147879095253, 3.7316934706927354, 3.7333299434125533, 3.7341247915389113, 3.7346193415261792, 3.734810175511491, 3.737765117359023, 3.737895975566446, 3.7392303118192776, 3.74258699331456, 3.744203565812766, 3.7442096643393366, 3.7459658603384733, 3.747026989586754, 3.747119546406661, 3.7471880729603675, 3.7475710814397774, 3.749532100971778, 3.751248456152302, 3.751367301710746, 3.7517955110852683, 3.754669764933599, 3.755926886795517, 3.7570750467268317, 3.758921642179013, 3.7599394308092133, 3.7601426580605937, 3.760805090575595, 3.7615760492970396, 3.7623755416469318, 3.763652517791219, 3.7646089276057277, 3.765675745938403, 3.766149872050607, 3.7662943858323255, 3.767444096470906, 3.7679412840289515, 3.771724020259982, 3.7717843936759095, 3.7733420649371037, 3.7734014159801825, 3.7763237049864875, 3.778613771486841, 3.7829548123180934, 3.783912659270111, 3.784216288294452, 3.7860606311765523, 3.7861377044286786, 3.787875805242398, 3.7891413581117943, 3.789891394852822, 3.7928216276996998, 3.7929346159006827, 3.79514718329628, 3.797442191093709, 3.7989254966095505, 3.799286584457269, 3.7993346902666514, 3.800022708537613, 3.8014323686948406, 3.8022102964232936, 3.8031306252176855, 3.8035330341050466, 3.805110763381499, 3.805119456573784, 3.806438682499678, 3.8094821784187625, 3.8103574449372686, 3.814511805971401, 3.8148980922775086, 3.8155652232155854, 3.817823788679895, 3.8184464185686955, 3.8213535761098236, 3.8233399056049997, 3.8274604642853873, 3.8277224752241032, 3.8311886169457265, 3.833167988586702, 3.837265606001151, 3.838400657207021, 3.839930149837731, 3.8406078318005945, 3.8419022124985283, 3.8450019993849742, 3.8463590374275105, 3.846600787683561, 3.8489897867872473, 3.849609988100414, 3.851972221313751, 3.861113225701596, 3.8626643123272055, 3.864093790629424, 3.865022616549904, 3.870932044378546, 3.8713275564257845, 3.872146544295279, 3.8739360238073295, 3.878669610959875, 3.8824820126528907, 3.887097599047719, 3.8873537497982777, 3.892290795207804, 3.8924670218852606, 3.8936970199592653, 3.896941106347442, 3.900391000139637, 3.9043996603157476, 3.904587466442335, 3.9067662434018278, 3.9080374089560452, 3.9080545995274028, 3.9087212593999143, 3.9097568609050115, 3.9124937229749355, 3.9144272122667614, 3.9145222470997822, 3.9166231794389934, 3.919031580408124, 3.9192468442607726, 3.923009601777249, 3.9245821272051957, 3.932420964544542, 3.9352354558603917, 3.9360841876955925, 3.9422413300761594, 3.9431528121695214, 3.943551245992615, 3.9453637974422584, 3.9471439959695966, 3.9488477801332365, 3.956080689853056, 3.9587809222522865, 3.9594524279320673, 3.959909724196612, 3.9639438360381987, 3.965626150962714, 3.968576838553678, 3.972148285109496, 3.9723333638813547, 3.9727651199053517, 3.9769657237665594, 3.9772991068372003, 3.9801127054517074, 3.9807919592882173, 3.9845838966094593, 3.984791756894442, 3.985948915821373, 3.9905104516497207, 3.9916275589643306, 3.9922047785979817, 3.9978453002205483, 3.9997701417631966, 3.999999999999987, 4.000116734154601, 4.002649671483305, 4.003377532080327, 4.004775196503617, 4.006852742983933, 4.018499094494566, 4.020702792974167, 4.0249927583928775, 4.025292370142861, 4.028132429370672, 4.030232260127522, 4.031873019835434, 4.032292127626684, 4.033623881972344, 4.036263312401804, 4.038590698915452, 4.040536472717134, 4.041007054983217, 4.041064615426108, 4.041919577720976, 4.043823190237706, 4.048973210897678, 4.050311083052071, 4.050727435414097, 4.05367057633803, 4.058721486953854, 4.059042713912737, 4.059932735518477, 4.061493678943816, 4.063511586722681, 4.064832152699144, 4.067329056158988, 4.069375958609776, 4.0704857380170525, 4.071339294528865, 4.075079768455536, 4.0754703716478184, 4.077654100867356, 4.082845618162765, 4.086718144958763, 4.087370008760321, 4.090758239437574, 4.09482427980899, 4.095864736079957, 4.097989075783105, 4.098379122168105, 4.099188598346445, 4.1031820679056565, 4.105257155396152, 4.106904862353738, 4.107138540218654, 4.10830115034319, 4.115012199311599, 4.117806967699365, 4.117843892904943, 4.120366117450444, 4.1203985195284805, 4.120521787326808, 4.120554956974519, 4.126233861763864, 4.130184046471255, 4.131938184245201, 4.132209015943097, 4.136178363064204, 4.1366383442470385, 4.138755621597606, 4.142158335476097, 4.145429674270608, 4.145468001242652, 4.148688622758924, 4.157302540886744, 4.162951428276881, 4.167287656105108, 4.1676258940326845, 4.172147555679854, 4.175402736984706, 4.179713194140981, 4.180331040965101, 4.182447292382263, 4.193755555994855, 4.1960343464172425, 4.196728923780135, 4.196825748967717, 4.199538297380594, 4.2024818425632855, 4.204307433662262, 4.204477534302371, 4.206275010110008, 4.208030308016711, 4.2118699271861955, 4.212569740265212, 4.212931234636795, 4.213035495067243, 4.219072022734917, 4.227580936238647, 4.227996282606612, 4.229556335289305, 4.233604926797056, 4.235644031263859, 4.239947985773987, 4.2420765589890825, 4.246241495183775, 4.248346964261607, 4.251918009928376, 4.253612567450134, 4.254532765297767, 4.256815639438386, 4.2582696789702865, 4.261100352643053, 4.263859446568293, 4.265542092700305, 4.268976171686564, 4.270650716998095, 4.2724933081102625, 4.275141316000312, 4.275672911796457, 4.275944284343531, 4.280198508417295, 4.2803528724482565, 4.28060273618641, 4.283487908644553, 4.284237915837849, 4.2865946433500675, 4.288492096562263, 4.289800401714187, 4.293044813725737, 4.297785428479508, 4.2991765232884225, 4.300063546635676, 4.300282498352022, 4.301029249635948, 4.303769204882999, 4.307121678646853, 4.307827502301637, 4.3081352058090525, 4.30831717834823, 4.309347104311887, 4.309758861019411, 4.312281050604357, 4.315445329119056, 4.31596188720297, 4.317609553867759, 4.317883797207796, 4.320790918256038, 4.321711559023441, 4.322218849060089, 4.324010741363146, 4.324136795497691, 4.326129238968975, 4.327153123582789, 4.3274141859656625, 4.329302872501995, 4.330358403767696, 4.331781551820362, 4.333319090679919, 4.339166457671095, 4.3436318256450335, 4.34704402179369, 4.347088333884939, 4.347581016637871, 4.348196354404002, 4.34868737274565, 4.349494331149284, 4.3518409793946, 4.355546124944478, 4.355863110959442, 4.355950582940404, 4.356121050501643, 4.357131944728294, 4.35807632183586, 4.3604640166305755, 4.36361435411446, 4.365864476185474, 4.368186201529455, 4.370133112276621, 4.370600215416961, 4.37375367190568, 4.374268886390759, 4.376692646846071, 4.377132344940366, 4.378029376093135, 4.381930093262622, 4.382330336457816, 4.383236402857215, 4.384502447548161, 4.389095805903772, 4.390791399879287, 4.3919122707377225, 4.391981825770801, 4.392225010618926, 4.392261492257959, 4.39238041533628, 4.396321938611459, 4.396463999493209, 4.396596407283491, 4.399843812670558, 4.401943662672491, 4.402602530324105, 4.403124752218972, 4.404138965019736, 4.407972144127003, 4.409342768267947, 4.409774327251721, 4.414756503947674, 4.4164253200112675, 4.4207385512277195, 4.4212709398339785, 4.4217443093652955, 4.422785080071002, 4.4232426211080185, 4.4248577042518145, 4.427620442662092, 4.427656020643581, 4.428651618716767, 4.4297624299485685, 4.4312632424781695, 4.432146614013676, 4.432151731126618, 4.433292607227217, 4.435163215579557, 4.436268167048363, 4.437236674111379, 4.437879862210822, 4.441948572087213, 4.447919208621228, 4.448583352466346, 4.449330403837497, 4.450545925517087, 4.452196435119665, 4.45257105460576, 4.453897645873994, 4.455297117568027, 4.455928399244634, 4.456536569054787, 4.45742546580881, 4.458105063807647, 4.459220321406457, 4.4609313113117555, 4.46141462380734, 4.463299003589502, 4.464344233504405, 4.466139790841319, 4.4672426656738855, 4.467550313126064, 4.468116279362231, 4.469060952979706, 4.469701411786803, 4.474390481237159, 4.475374231545759, 4.475800688976242, 4.476678186125068, 4.477252941424771, 4.479460326889124, 4.480280257834694, 4.480561944701147, 4.480695646249535, 4.482313791533172, 4.4823970809543, 4.48374792081015, 4.484419192346587, 4.484865599158269, 4.486041907416313, 4.4886334079541514, 4.488682485089042, 4.490059154685553, 4.492185121859764, 4.49389403273054, 4.4952068560193625, 4.4976165914213775, 4.497708625079088, 4.49877707401396, 4.499495250194035, 4.5021593573653105, 4.504765071456786, 4.505222242968941, 4.50706897335144, 4.507521586160608, 4.50919252898552, 4.509574944791457, 4.5097710069677275, 4.510752471358494, 4.512398480884447, 4.512905330143544, 4.515376341316786, 4.515746695060222, 4.516057655285049, 4.517221933207098, 4.517551754167766, 4.52005137619774, 4.5212678080812525, 4.52291241263143, 4.523138470811384, 4.52434256668462, 4.525982164094126, 4.526516580251777, 4.526743252729732, 4.526904411312369, 4.527921557852124, 4.5297893032680845, 4.531759977370456, 4.532134577058909, 4.5323732439383955, 4.532454924429825, 4.532599714749639, 4.535407976612806, 4.536918698789528, 4.543405559534354, 4.545177846409233, 4.547842050953792, 4.549484699289233, 4.549784714654198, 4.553151201059364, 4.553159159055382, 4.5534193569150805, 4.556802858573671, 4.556824610319641, 4.55879308040317, 4.5592397117186545, 4.561477634416301, 4.562507529432005, 4.563741171469249, 4.56468811495035, 4.567098743008052, 4.567344989752218, 4.567990090642599, 4.568442103449016, 4.570225896320316, 4.573051771998796, 4.576128236399289, 4.576625762931948, 4.576853659987022, 4.577767356902679, 4.579321093546458, 4.579837645901396, 4.58206778189432, 4.583096534277602, 4.583294881224145, 4.590490841776839, 4.590836087634067, 4.592622870844367, 4.596215941039225, 4.5964698499901235, 4.597103428391543, 4.59720356019067, 4.602213200748554, 4.603770526290707, 4.604005380319478, 4.60407282394282, 4.60544238378347, 4.606130623497062, 4.608789830819492, 4.609731765055192, 4.6126852251348875, 4.614566414657251, 4.615294566175932, 4.617162789975752, 4.6176639717177945, 4.620036782538579, 4.621694720611436, 4.621730791624606, 4.621835414121284, 4.623009115319074, 4.625915256060385, 4.627064735106381, 4.631451398140451, 4.632520393950942, 4.633215061834434, 4.633667978249986, 4.637110257417406, 4.638085238892025, 4.638645297361236, 4.640333327982847, 4.641131761286805, 4.6439898914374655, 4.645108001666145, 4.648154317922546, 4.648815981353168, 4.6492978254227175, 4.650028464814848, 4.650626459221463, 4.651251722487197, 4.654044727591688, 4.654853074451455, 4.655323291244227, 4.656590642885123, 4.657532521401105, 4.6583076810387265, 4.658315240378978, 4.6589036121155205, 4.662324196164156, 4.662751972055158, 4.663000848482169, 4.663746942583774, 4.665909668132599, 4.666666443066783, 4.668243104469298, 4.670571016195871, 4.671047068833254, 4.671310856139673, 4.671467198968493, 4.673036764889133, 4.674688240855886, 4.6760434537088384, 4.6762371891201955, 4.6763795566671424, 4.677866035211636, 4.677882351324104, 4.679362203191504, 4.6797777550213295, 4.680753965986801, 4.681310111834371, 4.6821689077237725, 4.6849146550316165, 4.689206397299051, 4.689208958293366, 4.6893853372309655, 4.690185089634595, 4.690661338520008, 4.692361994264932, 4.694280027327959, 4.6945937357873815, 4.695901808927139, 4.6961297316470825, 4.696391437645439, 4.696777856060792, 4.696837291316002, 4.699191195784506, 4.700374331681591, 4.702785158579577, 4.70328735186862, 4.705247672815947, 4.705317207546563, 4.709540377332236, 4.709729947446409, 4.709837307874673, 4.711153730641392, 4.713063648426195, 4.713081451031588, 4.713560477438207, 4.714649414199057, 4.714712085191511, 4.716619576660007, 4.71671218169422, 4.7178775052662925, 4.721390401499272, 4.722381853471375, 4.723316272596657, 4.723422658253273, 4.725740261013919, 4.7268645798617905, 4.72890823267262, 4.730525895646116, 4.731241296655088, 4.731257531320806, 4.732048201067756, 4.732073974852304, 4.7326119456389675, 4.733754053349211, 4.734647411008083, 4.735757485670112, 4.73593008157626, 4.739962015238163, 4.743248329325531, 4.743939920870531, 4.746538270061749, 4.746815207716931, 4.7487852275782, 4.749043576331769, 4.749180707079283, 4.7513525180967235, 4.752839044429442, 4.754667807399343, 4.7563880820271285, 4.757530456137515, 4.759075696300024, 4.760296829934072, 4.7606472030974025, 4.761593642994479, 4.762267896112767, 4.7628590666891135, 4.766568925651326, 4.768261338743189, 4.770932043057372, 4.7736717298141444, 4.7749696172602665, 4.780489407381247, 4.782844313777913, 4.789548285185547, 4.791714058893893, 4.793980630161346, 4.794637714160133, 4.797878057587449, 4.799960495581339, 4.803679874589362, 4.80448996164151, 4.8054263664057615, 4.808931542409105, 4.809387326597565, 4.809863546352273, 4.811416566566822, 4.813896053213609, 4.816057143693375, 4.824272133488053, 4.826097685478682, 4.82672194259656, 4.831041714883538, 4.832107711253487, 4.833149687744696, 4.833624124187363, 4.834315740144336, 4.836033138539321, 4.837739679189985, 4.840926631548258, 4.844730043043685, 4.8477952760987515, 4.84790429531192, 4.848035115426778, 4.85236547020871, 4.853099218090559, 4.853985195895653, 4.855373266129393, 4.856430108150037, 4.856470245206875, 4.859326441743517, 4.859863474896593, 4.860810957897574, 4.862829029649142, 4.863823034174549, 4.865535568286484, 4.865791649802903, 4.868546411292551, 4.8715194135917645, 4.873439240229437, 4.876370455803997, 4.878381325638686, 4.878852897166792, 4.880624432081055, 4.887200408554323, 4.890289777873871, 4.890436483823479, 4.892699784834639, 4.89311840655604, 4.896218085650726, 4.897274437031058, 4.897380091131981, 4.8976192935506315, 4.9004226811805545, 4.903942828729853, 4.907507775819787, 4.908083716771113, 4.908526002160484, 4.90920212937044, 4.910291855536835, 4.9107867418446824, 4.913281380490136, 4.91478927735696, 4.916555598583782, 4.916847554075913, 4.919755922518524, 4.920655801443962, 4.923378319792581, 4.923398256123633, 4.925127990948765, 4.927080958190451, 4.927796328142608, 4.92820239356184, 4.930125606244051, 4.931654461119011, 4.931937861437485, 4.935467549331722, 4.935995917034522, 4.936646733587041, 4.937934232123902, 4.938597496513962, 4.941882034162793, 4.9443996166708875, 4.944717703433855, 4.944923129978288, 4.949882608919066, 4.949916885314316, 4.949960219012251, 4.952903224212277, 4.9529309301482085, 4.9532376277723085, 4.953958561587611, 4.954638739205856, 4.955114709981671, 4.956600789337374, 4.957330444609934, 4.958626564748439, 4.959231348736139, 4.960819178563106, 4.962038367719381, 4.962732577390433, 4.962970305904164, 4.964305708367308, 4.966644539951703, 4.967106873084872, 4.967379261523524, 4.96789719308339, 4.969131990897855, 4.96964918885495, 4.97265838229233, 4.9735115021442065, 4.974116160529788, 4.97453757778863, 4.974717005323766, 4.979628081518763, 4.980695462626437, 4.980729349392334, 4.981728783140326, 4.982218077672233, 4.983801612093552, 4.983837684729973, 4.985353439860681, 4.985794670868192, 4.986041246151591, 4.986241771067736, 4.986903270277684, 4.987852113013865, 4.9899952295696846, 4.990126105346646, 4.9912062932202526, 4.992289319650841, 4.992309891453552, 4.99237888492551, 4.992772853960863, 4.992989446164973, 4.993901870269967, 4.994556249789993, 4.994959359540653, 4.995482215392038, 4.996888088689939, 4.997602309655308, 4.998290752203454, 4.999764487922367, 5.000411193659395, 5.000866306034356, 5.001525073543582, 5.002446032701831, 5.002675201036891, 5.003545360521373, 5.003664227479099, 5.004368805233218, 5.005072904179148, 5.0051950713995295, 5.005556029043963, 5.007061767312472, 5.007100215668048, 5.008440512958614, 5.009709809656632, 5.011310906706996, 5.011434617323654, 5.01200814581425, 5.013347661576845, 5.013400908265085, 5.014027249819551, 5.014665620051165, 5.014940868896266, 5.015764797123897, 5.01775212417499, 5.018841446558, 5.019553620947704, 5.021568087642596, 5.022405052415673, 5.0244089287133, 5.024455161743438, 5.025198107335883, 5.026162653239407, 5.026569553976124, 5.027549903042288, 5.0279921785481445, 5.031952019657381, 5.033162334067489, 5.035168881642708, 5.036135666794432, 5.037998415555063, 5.0382399984294075, 5.038863584609159, 5.0400882851673465, 5.040927914026589, 5.0410360700353225, 5.041386881563121, 5.042950860952242, 5.043257590001919, 5.04529188019728, 5.046490556235028, 5.04735063597436, 5.048622142971341, 5.049043452479852, 5.049947531611246, 5.050082419175426, 5.053650540788891, 5.054183352203112, 5.062623044072474, 5.065371014723818, 5.068649084799575, 5.069570274909632, 5.072487714998538, 5.073657496486348, 5.074048833004741, 5.074193412543451, 5.07744437857276, 5.082893858070721, 5.085181738868487, 5.088097481763255, 5.090124702885695, 5.095086863306945, 5.09677886978155, 5.097813344048854, 5.100390155143147, 5.101969256787373, 5.102438958385644, 5.103025525727648, 5.10354683034337, 5.10420912470873, 5.104371507228071, 5.10968697477569, 5.110853265053, 5.110896263817769, 5.113333209418689, 5.115822551836959, 5.1165185076554796, 5.1171427026177, 5.117551911851214, 5.117833143231203, 5.118739801237901, 5.120256628251882, 5.120516055574132, 5.121980859866663, 5.123627116840246, 5.124948398274665, 5.127326483852455, 5.127772705369922, 5.129692511414338, 5.129991972291024, 5.131470541123472, 5.1317548129658155, 5.132840158344084, 5.132941366109526, 5.133552733739844, 5.1351181449086045, 5.136169481686407, 5.136851871811603, 5.138421776014263, 5.139800813757363, 5.142757988138956, 5.1432167214952775, 5.143218718414536, 5.144194408114992, 5.145203415762385, 5.145557284179017, 5.146566357403414, 5.146994199211325, 5.149348930846284, 5.149416977930862, 5.151132085796746, 5.155401177839543, 5.157026118653324, 5.157349892770301, 5.158562426542374, 5.158706260906354, 5.159753487709333, 5.161514506959997, 5.165961382604476, 5.166534360168626, 5.166759390801894, 5.168737189028946, 5.169775335727144, 5.170927703260089, 5.17279239586267, 5.173770147395573, 5.173876566438311, 5.173956506020598, 5.174282773153057, 5.1771632649100265, 5.17727772498872, 5.1800756861509605, 5.180728588527536, 5.181047501145636, 5.183707553909163, 5.184096024723936, 5.18412521717956, 5.184376683941967, 5.184400420757613, 5.189013195172961, 5.1901926402101335, 5.190484034149201, 5.191221061018508, 5.192763791307428, 5.193225679147919, 5.194557896873165, 5.1950361909870235, 5.19603202509214, 5.197278434036726, 5.198186366525265, 5.200754509152159, 5.202180163042858, 5.202792798427518, 5.2043074192187735, 5.20523462633986, 5.2071024656658045, 5.209868459103175, 5.2121510814878, 5.213871491426543, 5.213896480228283, 5.214316212934152, 5.216177097360912, 5.216429295358195, 5.219788173206191, 5.220154512593528, 5.222183018160951, 5.222621349686752, 5.223923755022139, 5.224377838553444, 5.225593839937481, 5.226431005299576, 5.22735148370805, 5.227430888944777, 5.228249000412482, 5.229433556909624, 5.229558559930802, 5.229821237174519, 5.230941715937637, 5.231104323237863, 5.231755369936431, 5.235026243021599, 5.237723044336502, 5.237740941742835, 5.237823840267535, 5.242736493782551, 5.243484517855472, 5.244981076104125, 5.245371889145986, 5.246165660463492, 5.246748189918187, 5.251582454333951, 5.253196658830737, 5.253238719436673, 5.254603307903682, 5.255607526336783, 5.256416023265898, 5.256786179824868, 5.258779887211716, 5.260114762521237, 5.260336255589478, 5.263216622923591, 5.26457623041202, 5.266610248752817, 5.267044002621594, 5.269963109439301, 5.270329503912056, 5.273075788707701, 5.276987954226868, 5.27781907102862, 5.278635123591007, 5.279529847932502, 5.281201550658356, 5.281603453215375, 5.282508068762509, 5.284065853644586, 5.28688614591995, 5.287846122578916, 5.29175233827139, 5.292207772441549, 5.292730662575667, 5.293062038783407, 5.293614413353081, 5.295989446055875, 5.297841221753239, 5.299018045268549, 5.301502394742869, 5.301957183718655, 5.305788077755387, 5.305802155977614, 5.307262882963543, 5.307815839227004, 5.310735171722548, 5.312752965473666, 5.31487909952112, 5.316507452820272, 5.31775561183786, 5.320015297582745, 5.320703408091559, 5.321695544662583, 5.323155318090379, 5.324657450319381, 5.326360209644286, 5.326404318212415, 5.326910301678658, 5.332946771578462, 5.333410229983916, 5.334214742384773, 5.337057163438947, 5.338335725584136, 5.338590039920734, 5.338877427313045, 5.341577526499245, 5.341972930372712, 5.34205755073358, 5.342601876163044, 5.343566465123043, 5.350292606912026, 5.3523936920844095, 5.359155972709482, 5.3611301056125695, 5.365369358104039, 5.3671056568163555, 5.369376827834675, 5.370078274721668, 5.370510853429791, 5.37348147076126, 5.374400259913758, 5.374984451574724, 5.378691025579023, 5.380740113094101, 5.38103213606652, 5.383680548875026, 5.387020416582573, 5.387154527041956, 5.3871913078468525, 5.3875164529921635, 5.3944964965289115, 5.396124339672979, 5.402560701547632, 5.4027123546318565, 5.404293999863889, 5.404895899179352, 5.407196059549453, 5.407297706254856, 5.408073727368162, 5.411485854856209, 5.412099154130713, 5.4192778380808155, 5.421587999703822, 5.427386365647404, 5.430215189201187, 5.433769427331538, 5.439279891797002, 5.445649329637488, 5.448530851681599, 5.4494427034448805, 5.449640676060771, 5.455673139843961, 5.45590896719093, 5.461888889990247, 5.4637337076645025, 5.464912814044898, 5.4720966034974765, 5.474770157099219, 5.47707620903644, 5.477782405203114, 5.479684075649253, 5.4803913940431315, 5.480741361306618, 5.484932540692507, 5.501670740230164, 5.509108921465025, 5.511068306472507, 5.512486326134059, 5.513288735394305, 5.514828462675815, 5.518671180849792, 5.52052726111317, 5.520984226087, 5.522580357444064, 5.522763356322767, 5.5230144620979695, 5.52448665859812, 5.5270160312416055, 5.527919166753067, 5.529245019506569, 5.531853299576725, 5.534713299752543, 5.535614997389835, 5.53606812240468, 5.53663900472738, 5.537363434576768, 5.537935611871715, 5.545290249467473, 5.545957501522154, 5.550567473657271, 5.552226507267449, 5.552875832224317, 5.555354628637431, 5.555821384914094, 5.555886516997697, 5.558294727467745, 5.5617745151632825, 5.561804417426277, 5.563436270499508, 5.571863867490136, 5.57853306151488, 5.578980923718138, 5.581051162296221, 5.582449223804781, 5.582472883926189, 5.587130095183088, 5.587247069296452, 5.593527471066963, 5.598087535457548, 5.598710805579341, 5.609058596388688, 5.609511386682045, 5.610201070025073, 5.612110970422726, 5.620001500822891, 5.621401336249894, 5.624418054741484, 5.628300834481675, 5.629012334998284, 5.630976139491595, 5.632517210490511, 5.6326189119248, 5.636009852647883, 5.636670850048967, 5.640121429390564, 5.643140117666614, 5.647153320157965, 5.648380899920914, 5.6506860342877845, 5.653838877899124, 5.654095434771138, 5.655524819253502, 5.656911075589058, 5.6587099965976995, 5.658828902191719, 5.660102287913163, 5.6624713820781185, 5.66629140075474, 5.669394755140073, 5.670674536544934, 5.671334697867008, 5.673342820260988, 5.674706482647213, 5.675464387703235, 5.676072612961909, 5.6806107713023914, 5.681317514281149, 5.682754940139689, 5.687134752615819, 5.691220656617936, 5.691946157243598, 5.692428924231511, 5.694259582233108, 5.696238910686117, 5.697583892384722, 5.699000916976907, 5.699729007939567, 5.700515487060717, 5.703271297861164, 5.707407993050208, 5.709956652924482, 5.709998013607447, 5.7104194344034225, 5.711738708852339, 5.713145599614131, 5.71325638941717, 5.715904284077629, 5.71646323480502, 5.720565981557837, 5.723368470451485, 5.725744554080549, 5.727705608731037, 5.728679816580906, 5.728884778244229, 5.729163849225645, 5.73047207248042, 5.7322075665164265, 5.734908421279771, 5.7367886509192125, 5.738690672874624, 5.739023225741809, 5.742176840082439, 5.742331300627311, 5.743458246441951, 5.746866848096793, 5.747885807949617, 5.748266246806719, 5.7511376700680445, 5.7518252288023115, 5.755728796974123, 5.758177676556341, 5.76131535765326, 5.764322148176834, 5.7758212940826095, 5.793416534316226, 5.799658821385257, 5.800312621959633, 5.80143179463765, 5.804581734882601, 5.807323815809878, 5.807885610971602, 5.8088911857458685, 5.810164880003684, 5.81113844083263, 5.812104179721927, 5.812152360683233, 5.816028331528542, 5.818197798950776, 5.8200161066735845, 5.820492672011404, 5.825625833816625, 5.826637580710265, 5.830921203385254, 5.8364295225974265, 5.839413760327786, 5.844043098333555, 5.8466957680502265, 5.849065365898351, 5.854509910170746, 5.855074275874788, 5.855787367534722, 5.856955647528388, 5.865796716635542, 5.867006609057038, 5.875194781419242, 5.876342500005562, 5.878506804927202, 5.880198123362883, 5.881366558804711, 5.88226783000099, 5.882844206652072, 5.8844511749148145, 5.886841131780411, 5.887465796951131, 5.888576801458622, 5.888940746655144, 5.893180449397405, 5.893894410682261, 5.894645054636275, 5.896609531332729, 5.896891399588741, 5.90226864802865, 5.903470787536922, 5.904635706336461, 5.905523532969134, 5.906198087994122, 5.9097888939786465, 5.91585563760369, 5.91793597708174, 5.918515495773758, 5.920043672177179, 5.924763653570857, 5.925048792300628, 5.927039363483723, 5.928027567018625, 5.929582657749659, 5.930830596748632, 5.931814722817303, 5.933451911767541, 5.934834210522956, 5.935062995214969, 5.938089516285559, 5.942568858542985, 5.946224065264199, 5.946913705937314, 5.950370665701716, 5.950676143877482, 5.95724737632726, 5.9648820726858975, 5.96808262475373, 5.969138506674063, 5.976205742942277, 5.980254632613822, 5.981838721420323, 5.985294152656974, 5.985614986489633, 5.989536155046068, 5.989893905768689, 5.999580330698878, 6.001235366854276, 6.002753634900131, 6.0049354605374345, 6.005161526734822, 6.006746681813799, 6.0142951765493, 6.014758488655962, 6.016454322326459, 6.016613665351543, 6.016644655131077, 6.020747564472669, 6.021885311837089, 6.023858950947635, 6.024911650707277, 6.0254136482117495, 6.026606197323033, 6.02972856599103, 6.030102843460985, 6.0342447874788, 6.037934474507559, 6.038255360996423, 6.04243151153635, 6.048909532227422, 6.050266983442557, 6.0539850307165315, 6.054303806267833, 6.063264080931265, 6.06451427196215, 6.065007223086372, 6.065577375754179, 6.068382834097408, 6.07004825964082, 6.07303382394144, 6.078988737100284, 6.087215940569484, 6.087938302265453, 6.088663485811617, 6.092008887499561, 6.09456543353291, 6.09645983022075, 6.096901755220147, 6.098067433248643, 6.098503253977103, 6.098805686144899, 6.10171063864072, 6.103430125847906, 6.104357560248817, 6.107142239056467, 6.109451109606674, 6.11211120160019, 6.115452800122882, 6.115876840814961, 6.117819861844793, 6.120806356374772, 6.1219721189655, 6.122889881391427, 6.1263747298338425, 6.127314716593864, 6.129786298122869, 6.132717573727951, 6.134702096244664, 6.136511035079097, 6.138320755613168, 6.139705780014169, 6.140471372298064, 6.144469376426452, 6.147813297796655, 6.149442060140317, 6.152019552736818, 6.154721322735367, 6.154851069392366, 6.157263807882008, 6.160156850861751, 6.161442761280138, 6.163272574999042, 6.163824619302001, 6.166367033266466, 6.16724294927826, 6.167444311779266, 6.167834265747768, 6.171606135658166, 6.172502398982623, 6.178509781963057, 6.181556056757578, 6.18341469128504, 6.184519527224747, 6.190293413182304, 6.194408382746416, 6.19535697924145, 6.196952508544498, 6.198606652653583, 6.203081415975187, 6.203680558128765, 6.205340430338082, 6.207920463186053, 6.212741674491118, 6.213603318616137, 6.21949520095888, 6.222748698006226, 6.22325553889738, 6.223567838299834, 6.227124297816075, 6.229964711636791, 6.231901137782633, 6.2323193494742215, 6.232375604965419, 6.238206061310107, 6.238313900152868, 6.238593746035318, 6.240584358575171, 6.241871839693828, 6.2454052514149305, 6.245405932647633, 6.246700949903872, 6.2486699029851795, 6.251401965462178, 6.252638106648532, 6.253242682187214, 6.2543443392365345, 6.2566811628874826, 6.262830857998607, 6.268897128684451, 6.269453750335794, 6.274336643716978, 6.278225434935735, 6.278375476809454, 6.279550258559459, 6.279630906038611, 6.283632084459736, 6.284507833723538, 6.285910911559162, 6.2871900858257606, 6.290116439675563, 6.290580070454494, 6.293811954804589, 6.296585729350585, 6.296998938729651, 6.298765866435729, 6.299586127859298, 6.301450002201577, 6.3060215031366145, 6.309009034542684, 6.311041226500089, 6.311165410844722, 6.311570769265386, 6.312177392016715, 6.313625212853016, 6.314014764942186, 6.314119651291459, 6.316466328125416, 6.317328767725997, 6.319972764421158, 6.321300067895276, 6.3237244156943095, 6.325823334023413, 6.326029641482082, 6.3275406138397345, 6.328566994840139, 6.331887319999193, 6.333998544673232, 6.335669288247185, 6.336059708251707, 6.3684058313380465, 6.3708508065484235, 6.372322788715299, 6.37553462984759, 6.375681798211823, 6.38077726018846, 6.381416774776407, 6.382161792430495, 6.383059952905778, 6.397570331518149, 6.4058452232173515, 6.407865964682189, 6.41886740239903, 6.430578502825487, 6.436627043362469, 6.437049305831497, 6.448749032994762, 6.457318864480125, 6.463385431791156, 6.466399166149856, 6.467105639664206, 6.468273082023417, 6.471894024333022, 6.4751228664200875, 6.476572461302331, 6.479462548514544, 6.480819895269563, 6.481175656871092, 6.481725355326534, 6.483102707206058, 6.483552502732448, 6.48733917410955, 6.48839376947814, 6.490074366365416, 6.490719902020043, 6.4907458465259245, 6.4938705738328375, 6.496113083986621, 6.497440871529066, 6.499033814871807, 6.500154191897203, 6.500532303477865, 6.500635723181002, 6.500669902606685, 6.5047003520647, 6.504839543776437, 6.505140849667102, 6.505523199750273, 6.507432954340661, 6.508881771449954, 6.509404470785624, 6.510358873414311, 6.5121696942649745, 6.512557946867598, 6.513361107759876, 6.513796601270382, 6.5163146014466085, 6.5188478129061025, 6.520261147388893, 6.521332349423029, 6.524213601526521, 6.526792512102295, 6.529762398445353, 6.529874201781497, 6.530205613431842, 6.530813882120731, 6.533319914268229, 6.533763700058563, 6.538094077935213, 6.539030381865567, 6.539081786099087, 6.545297366971513, 6.549156601646794, 6.550435946785001, 6.556770032003862, 6.561494693813504, 6.561942365363089, 6.563021050471484, 6.565785506518889, 6.569721637484789, 6.571290154575142, 6.577568239313045, 6.579408304944709, 6.583039145222368, 6.590645501173801, 6.592020284723381, 6.59421013637582, 6.596126767242606, 6.602099123564024, 6.61488574935665, 6.6158386841372145, 6.618211608004735, 6.621097482527715, 6.621168430075241, 6.622145314330764, 6.6349373249735635, 6.6359641221628145, 6.636162664407568, 6.643556173984677, 6.643931062123985, 6.645735335832655, 6.646428939553216, 6.648935552103351, 6.652669458922212, 6.654008072681508, 6.654646684189214, 6.658557784843347, 6.6613540924321315, 6.663529182086217, 6.663793915049752, 6.667284083936134, 6.667625221523858, 6.668175100632029, 6.678035475306046, 6.67989443043097, 6.683223420835209, 6.6885131739200325, 6.690890002731188, 6.699500236850211, 6.701421891677661, 6.703052637560225, 6.708597832593873, 6.71103220087194, 6.7147652922166, 6.717552269598745, 6.719241619762285, 6.723763243311793, 6.728805200307049, 6.73620420256673, 6.736558140339014, 6.738450789098956, 6.740422143563311, 6.745178344171271, 6.746470546346112, 6.747610302179051, 6.748169654159314, 6.748304141332442, 6.750944022498967, 6.7544491476794635, 6.760426792205372, 6.760879310862186, 6.774543865168411, 6.775605240345658, 6.7766262827975225, 6.797834433242537, 6.804239197919262, 6.807826638323774, 6.810567432542296, 6.81068495110292, 6.8122863391041735, 6.816558187317017, 6.825160344421118, 6.827828255969599, 6.828060908797164, 6.8301120779704805, 6.831199181740712, 6.833641087241131, 6.834604353608322, 6.836599093520793, 6.8367849783116394, 6.839546370731043, 6.840461231987257, 6.842808344907285, 6.84906054377176, 6.853923183004557, 6.855152525574315, 6.867879571161536, 6.869476427766057, 6.8720960134431115, 6.872247363382873, 6.873021341630354, 6.873346946122915, 6.873475164099576, 6.881293367769051, 6.885354710013696, 6.885680056744987, 6.886113214728474, 6.894406060014822, 6.89511147496695, 6.89880802372942, 6.903468214705918, 6.908367440205384, 6.9110620278024175, 6.912573696021724, 6.914138885339172, 6.915608100905191, 6.917990021421019, 6.921784211750152, 6.923739632097028, 6.925648504493307, 6.92764568472899, 6.930780005303173, 6.932360147841074, 6.934343695275106, 6.934588484562259, 6.946422715906942, 6.949076590987989, 6.94955567737098, 6.951495433905724, 6.95167773450097, 6.952869115605583, 6.95415271650893, 6.958465292593104, 6.9639283307903685, 6.970643189510805, 6.971099032745715, 6.972440226406829, 6.977666204357289, 6.983511667448375, 6.987947336958266, 6.993123257600757, 7.001160164913731, 7.001205309858855, 7.002577878434992, 7.005047011677567, 7.008968393610567, 7.010814426731266, 7.013202023949683, 7.013296691531113, 7.020226221773681, 7.021009921934189, 7.021720083211679, 7.022756038678246, 7.024613281310485, 7.025122583901602, 7.025802936889889, 7.025874276765553, 7.029398268930733, 7.029616267471585, 7.033666415286829, 7.036877409949276, 7.0401747722185215, 7.041278752405677, 7.04181602283966, 7.042279207125861, 7.043854292726721, 7.044174173980336, 7.045797470549075, 7.045986065986082, 7.0466331938604005, 7.050419435225927, 7.050890449938821, 7.053800891751165, 7.054560382503975, 7.057004121659759, 7.057350327583371, 7.05790713824285, 7.058084156809478, 7.05808567632608, 7.058673835469451, 7.058992834480794, 7.059950287504759, 7.060138440722457, 7.065038063459739, 7.065422909807748, 7.067890273188157, 7.069893414455809, 7.070858820431426, 7.071145585078936, 7.072907115965551, 7.0732240008939335, 7.07470423332884, 7.077154369444944, 7.078029754051889, 7.0784726482234595, 7.078904190132933, 7.080372725194549, 7.080511727678871, 7.080933185899666, 7.081087451197364, 7.081232748097178, 7.084945267024107, 7.085986566856641, 7.086509320908724, 7.08705109303014, 7.088739659775095, 7.090242629269589, 7.090868786557105, 7.091224589790631, 7.091468460052176, 7.091932924945768, 7.093803387099154, 7.095177463157997, 7.09551268423671, 7.095676326228716, 7.096416283831725, 7.09698773171651, 7.097012783469688, 7.099930041696393, 7.100378175702829, 7.10064724136923, 7.1019648103535875, 7.102705407403056, 7.103060661485939, 7.103242791986327, 7.104752283954078, 7.105023892684399, 7.106700477761097, 7.106856007966861, 7.107018415243353, 7.107590553239601, 7.111845909192125, 7.1120932189513795, 7.112190468871647, 7.113725127314362, 7.113864174456096, 7.11530435493205, 7.116073219196417, 7.1172735912944125, 7.1180603842237025, 7.119728707439985, 7.119923492526575, 7.119935141930518, 7.121266975905783, 7.121408122272567, 7.1219778859243466, 7.123234655143783, 7.124976681947775, 7.125588574381148, 7.125624981488354, 7.126103567165477, 7.127074171766966, 7.128316556180776, 7.1287459281927505, 7.129771158201467, 7.130068227000063, 7.131429309462715, 7.133505129747541, 7.134095657050719, 7.134327070425927, 7.13571050537448, 7.1358096987145565, 7.138785563442801, 7.139440415598931, 7.143669607788669, 7.146630178334522, 7.146917790001827, 7.147201590527646, 7.147233365661069, 7.149695313185065, 7.151383127154832, 7.152225425719859, 7.155936357028792, 7.157802185507779, 7.1587153393948615, 7.15896356278099, 7.161233722616308, 7.163221958473796, 7.1637611735006885, 7.164505560896545, 7.167352122386241, 7.167947076377511, 7.169040179311686, 7.169416780502061, 7.169499840711698, 7.170118367541504, 7.170815545658083, 7.171126532884951, 7.173940375704498, 7.1756397644375705, 7.176040177386717, 7.17668698905003, 7.177351839753783, 7.177549278837184, 7.177628639693901, 7.178461990726559, 7.178697201089572, 7.180250220415282, 7.181721356991453, 7.183080484949542, 7.1840159979336855, 7.184040536951418, 7.18637675607353, 7.186417606169809, 7.186625904971244, 7.18692631861146, 7.188699691688688, 7.188760019449444, 7.190806904053215, 7.191088068709889, 7.191250924829152, 7.192747348590978, 7.194004128754078, 7.194230119420707, 7.194667833950737, 7.196541515130743, 7.198230607279756, 7.20031111426712, 7.200722187178172, 7.200932857670478, 7.201479956827908, 7.202163563451967, 7.2022468859246835, 7.202735368397081, 7.204021050226405, 7.205880267202617, 7.206061011353376, 7.20679132547963, 7.207049911977511, 7.207790833427061, 7.207983807796105, 7.208070871469819, 7.20821502848138, 7.209897864890464, 7.211225333525081, 7.21167626202369, 7.211856284310629, 7.211928263784942, 7.212848171715046, 7.212896111486433, 7.213423082471868, 7.2134443849804875, 7.2153165535946275, 7.2161249500471225, 7.216311259051156, 7.216559597770874, 7.2168706130479245, 7.217762754653897, 7.21799168826209, 7.218070274697181, 7.218466052675976, 7.21985304709535, 7.220474616229084, 7.220872706979543, 7.2220571511629785, 7.222114296301496, 7.2222425856722285, 7.222543446998463, 7.223625068878007, 7.223677753219191, 7.223924025675129, 7.224246575060333, 7.226227473632464, 7.227176615916414, 7.227381727353775, 7.227795759178287, 7.227795929080274, 7.229566241423094, 7.230192524866997, 7.230278023349137, 7.230384167999471, 7.232050927859407, 7.23314296489135, 7.2333127906023265, 7.233390106320113, 7.23402437433441, 7.234375230261988, 7.2344907782382295, 7.235040506724886, 7.23680574858475, 7.2368223193921075, 7.236856159686117, 7.237356544883986, 7.237619962312838, 7.237807277809234, 7.23871015186849, 7.240157523907483, 7.240236799870447, 7.240279765026161, 7.240636157012227, 7.2411160397537095, 7.241248553745308, 7.241826386197908, 7.242085133183966, 7.242148468063062, 7.244074418828864, 7.245581221093536, 7.245778385832794, 7.245880749666005, 7.246272474498841, 7.247476867442914, 7.247936640416321, 7.24831676506513, 7.248401862784086, 7.248903214010029, 7.249014280718322, 7.249587485704243, 7.2498761787257315, 7.251165839254891, 7.251345614021254, 7.252171953423647, 7.252277094932828, 7.2523730860561875, 7.253113303119975, 7.253198858725629, 7.253587445347047, 7.254162363028027, 7.254597027136732, 7.254897051894631, 7.255417137482992, 7.2557309169075035, 7.256036339021691, 7.256095455450268, 7.256713377959685, 7.256748047409106, 7.257324390920428, 7.257335099718063, 7.25768060588779, 7.258277594239736, 7.259863023936758, 7.259949071695896, 7.2599844401515385, 7.260455409061786, 7.261141550691333, 7.26122868720304, 7.261656359195006, 7.262091726562877, 7.26349698098076, 7.263819246910475, 7.2648163204489276, 7.265332295585143, 7.265573546371528, 7.266645841671299, 7.266947953364567, 7.267901268637983, 7.26811214077991, 7.269557156004106, 7.270015617212333, 7.271036826692092, 7.271080531534119, 7.272477174754484, 7.2729998159554246, 7.273361895093551, 7.2734363586453705, 7.273746003810086, 7.2745705068841255, 7.275528104907514, 7.276297568411182, 7.276840042481187, 7.277601189110442, 7.278576693362794, 7.279522852423741, 7.279814196458026, 7.279970809308222, 7.281410760166643, 7.282311322220107, 7.282404823464033, 7.28274581611338, 7.285356487015887, 7.285362025523904, 7.285785069468975, 7.28764054147475, 7.288829873328136, 7.289352750572024, 7.291519062518181, 7.291536135143549, 7.291948149214461, 7.29219586901465, 7.292268525215433, 7.292342680149423, 7.292612869581354, 7.2934704846518015, 7.293661557677667, 7.294118760786441, 7.296171272456847, 7.297569940264092, 7.297584387446618, 7.298631812448781, 7.299727601422925, 7.303884497512012, 7.303972624711837, 7.306172880148359, 7.306347476846576, 7.307230570195474, 7.308001512165374, 7.308291635641717, 7.308871388575891, 7.309994897950745, 7.310451663402694, 7.310577347114679, 7.3107610818691, 7.311357139851561, 7.311654953083908, 7.313916578831446, 7.314221785866503, 7.315014378922724, 7.316767399119554, 7.3170849501665405, 7.317361596135261, 7.318258937502114, 7.319715629092868, 7.3201121485549505, 7.320162700389985, 7.320824323590457, 7.320911550787884, 7.3217486776888165, 7.322131587276036, 7.323683241009032, 7.324131318368597, 7.324823732062537, 7.325191574862995, 7.326684424045898, 7.326964015753719, 7.328940002329776, 7.329661966602927, 7.329743248313519, 7.332469970171626, 7.335114795008033, 7.335445215743498, 7.335697227172189, 7.335719992094756, 7.337072121930661, 7.3371467667251045, 7.337346250551188, 7.3389838787109465, 7.339299519530079, 7.341135237399069, 7.341732627373228, 7.341856796766713, 7.341901718824394, 7.342307472646407, 7.343444658171886, 7.343984719058988, 7.344413592171516, 7.3458587680290695, 7.346858332942378, 7.348129229450332, 7.348248014817553, 7.348585734248671, 7.349168372784047, 7.349492122283405, 7.350515875456562, 7.352717685856963, 7.352838092748682, 7.353136241333445, 7.354762337086277, 7.355601438095821, 7.357558602401898, 7.357978976044157, 7.358811980801333, 7.359374513272434, 7.359644396860922, 7.359995445298072, 7.360640659581578, 7.362244690434937, 7.362831952544488, 7.364341116569812, 7.36484851866024, 7.367403525519441, 7.370703145589279, 7.372223380934354, 7.373132318553049, 7.374931014015285, 7.380517530201732, 7.381261605042864, 7.38212638251712, 7.388219103261686, 7.388885953738091, 7.390988458481728, 7.3920906871770065, 7.394967605843183, 7.3963239432764185, 7.397066365697838, 7.409219682737498, 7.410209864383388, 7.410944962315725]