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

eigenvalues = [8.380449112443955e-15, 0.011206079675887493, 0.017626734617448046, 0.01837399585442699, 0.0187360475252707, 0.028972035435371035, 0.03831593783988683, 0.03963070116534246, 0.04318796713626048, 0.0442976404751066, 0.05310608677223827, 0.05408377186202976, 0.055248575465916945, 0.06040963650862385, 0.0665018422803875, 0.07236378858362151, 0.07446012066795345, 0.07876608846167152, 0.08767244612082643, 0.0889255030201719, 0.09114688765813046, 0.10311321496572247, 0.10554052105002075, 0.10849143101432791, 0.10911122018212902, 0.11199768981263952, 0.11394391375890178, 0.11969971131928381, 0.12091833168571153, 0.12196401881940852, 0.12495459872774177, 0.13091145109298294, 0.1384639175989202, 0.14100058957395978, 0.14764249325003326, 0.1519045609082587, 0.154461497414504, 0.15534732309239704, 0.1557169974191567, 0.17030917404231746, 0.17144550452018814, 0.17198874017131124, 0.17943253739259543, 0.1803148212259363, 0.18688473195011157, 0.1908906785381095, 0.19370708329881284, 0.19521353070297112, 0.19988269712571585, 0.20748011518791548, 0.21144320912836695, 0.21757288400251862, 0.2200146116008143, 0.22045181024679344, 0.235620825442624, 0.2396220128958026, 0.24414238688211554, 0.24543419038175152, 0.2506050597723989, 0.2530835711731699, 0.25589811758000763, 0.2574394732553444, 0.2588862304683329, 0.26123759281974057, 0.2632769513293079, 0.2674943322078895, 0.27167135971409856, 0.2732591072678229, 0.27862894571227864, 0.27905636821404695, 0.28441231786143495, 0.2904035647024824, 0.2927246079856672, 0.2933325009270293, 0.29790804252625674, 0.3067174943784948, 0.3074869691156257, 0.31032596746919816, 0.3176142914567959, 0.31887787701611636, 0.321460778488561, 0.3222129175464069, 0.3238874764468128, 0.33254130297120776, 0.3327368947656794, 0.3382252528649128, 0.338285166248097, 0.34087371247537807, 0.34152343225335946, 0.3489667795922496, 0.3519653659474811, 0.35318242215876644, 0.35388732650266413, 0.35718293218646546, 0.3583596641901479, 0.366916961748675, 0.3675829461337008, 0.3721425627697591, 0.37239216443439704, 0.37346489383223086, 0.37753895302012686, 0.3792617964216548, 0.3898851939159137, 0.3916361126574193, 0.39180729364286776, 0.3951100388524842, 0.39843789946884467, 0.39922047011603506, 0.3997488402746005, 0.40716122483308465, 0.4116129118371301, 0.41203561291660074, 0.4128338420130023, 0.4130652347653414, 0.41368969631959385, 0.4205589709183906, 0.42181027002134086, 0.4245981264894227, 0.4247759473514314, 0.4268870614367679, 0.4295616730011248, 0.43188086345274085, 0.43229949927267497, 0.4330335684383377, 0.43681968641242097, 0.43810408168672776, 0.43835452225359683, 0.4384391765144576, 0.4406200237654201, 0.44102178096600353, 0.4438855288935614, 0.44936918845278534, 0.4506273552498589, 0.45241798524065774, 0.45509723408930114, 0.4580328773823699, 0.4659161296097224, 0.4737808436925198, 0.48637157129437913, 0.4929141019750953, 0.4978654004067607, 0.5032545133561193, 0.5052108483751497, 0.5103703000862079, 0.5118215159054179, 0.5149927409012859, 0.5212371195495685, 0.5259425091691965, 0.5295939002955531, 0.5319890213382492, 0.5336120803222648, 0.5354111701255223, 0.5360713676502479, 0.542930732842741, 0.5470944941087512, 0.5490252167677828, 0.5554892350514926, 0.5580465359753365, 0.5601610883264442, 0.5611049071042187, 0.5657045364177696, 0.5669878483827385, 0.5692685800011653, 0.5699339449607382, 0.575526208846187, 0.5868486448320993, 0.5872774568500906, 0.591232998154393, 0.593396760164963, 0.5962752077826396, 0.5995205756428632, 0.6017153877547745, 0.6022338239611343, 0.6084563425574775, 0.6089433066822487, 0.6103454001112144, 0.6123757975624118, 0.6193117481289199, 0.6199470980450257, 0.6236768621633513, 0.629402775871508, 0.6298996148949954, 0.6301044922915539, 0.6362235511325273, 0.6397063856958338, 0.6470333789980403, 0.6499238328428872, 0.6535093978126233, 0.6556664775776146, 0.6584375526621122, 0.6593905599208782, 0.6607697735596938, 0.6715752435084266, 0.6724142591757917, 0.6752074824912956, 0.6759532887985145, 0.6799742880025144, 0.6814079916893279, 0.6846713868292533, 0.6874420776560938, 0.6901796803199992, 0.6908143668532996, 0.6925851729820424, 0.6970856866639552, 0.6973235830762614, 0.7000057482418602, 0.7059548354843433, 0.706394324056237, 0.7065428514482621, 0.7115926308103638, 0.7178649578943761, 0.7226636873181748, 0.7237990213604392, 0.725917851921266, 0.7286246838383736, 0.7358334665260874, 0.7362000740371781, 0.7384749088159003, 0.7405609792180975, 0.7424012226302993, 0.74318318695345, 0.7455777975436925, 0.7473786063663709, 0.7492897386556081, 0.7508300173796578, 0.7511614713588066, 0.7523901865564456, 0.7537379996260403, 0.7547934636297104, 0.7587998424686172, 0.7603320992826266, 0.7690991956879908, 0.7697064512055967, 0.7697734871468949, 0.7735356464608725, 0.7756627241441214, 0.7796312843975276, 0.781110968051779, 0.7812736976903115, 0.7829522508299956, 0.7895703858915307, 0.7896968717621424, 0.7909890043952357, 0.8044198029132645, 0.8071003688634892, 0.8094241802675819, 0.8116595867358758, 0.813953935367919, 0.8170183505505422, 0.8190970109025361, 0.8243778049417023, 0.8260787651832586, 0.831345233712636, 0.8381936336676067, 0.8425025031506139, 0.8425268096102376, 0.8432665293444803, 0.8462931788293099, 0.8471982101699261, 0.8503355993954604, 0.851158311309987, 0.8550086495629461, 0.8675401397909259, 0.867643027584256, 0.8679481995568384, 0.8695649291463203, 0.8773197303845842, 0.8809719575352923, 0.8834948030566824, 0.8842417645231126, 0.8861992877431133, 0.8872253798088924, 0.8898411045587871, 0.8929563723013914, 0.8950289008193058, 0.8952253675167097, 0.8970416757601039, 0.9005395614705274, 0.9040634661836412, 0.9070667225759664, 0.9072807101985756, 0.9081716606840186, 0.9134381623160219, 0.92353046048789, 0.9250216260105368, 0.9302133874172808, 0.9328386258863605, 0.9330016756350953, 0.9352213363567953, 0.9378160771400127, 0.9389694542041107, 0.9417353479063185, 0.9422612594815172, 0.9428129668114588, 0.945582099452056, 0.9487630656496495, 0.9514907853100348, 0.9545784276221775, 0.9563392777027862, 0.9596055154594573, 0.9627342715040573, 0.9649457260158272, 0.9664701418110184, 0.9668143919570675, 0.9691741568938445, 0.9716145399819067, 0.9748515378224333, 0.9773001526357499, 0.9804266843218762, 0.9822309269111609, 0.9872121740402242, 0.9884914692712935, 0.9922351195566621, 0.9942813932591474, 0.9962557944540352, 1.000147759147786, 1.0020286181555091, 1.002818519200831, 1.0056151159530073, 1.0084457584556825, 1.0128916489261446, 1.0216676143368608, 1.024653112655837, 1.0262997499338935, 1.03091922261754, 1.0314192401444857, 1.0344699658821044, 1.0353635381697512, 1.0415253670627698, 1.043105800845451, 1.043315693759752, 1.0462034189591773, 1.0521444304567518, 1.0589199928912634, 1.0603502559348061, 1.061710244305588, 1.0654404795079386, 1.066041373835174, 1.0673411738135499, 1.0691660816912654, 1.071248649155812, 1.0769568662048958, 1.0788576903332803, 1.080555968784379, 1.0848234978792721, 1.0866815327187442, 1.08794279232532, 1.0918577456240277, 1.1024367324539075, 1.1061554967757437, 1.106592174344167, 1.1089967571770079, 1.1118662416790335, 1.1152300809560007, 1.1158918389736538, 1.1184411463368205, 1.1198913577647105, 1.1228214976685458, 1.127637880909814, 1.1313059201403404, 1.135865298084699, 1.1424133404725478, 1.1426643639004679, 1.1485663829036397, 1.1499636020638013, 1.1507588096082477, 1.154094137724701, 1.1543813235129312, 1.1675847270177835, 1.1680121270848198, 1.1692158604883591, 1.1699756422989884, 1.1760195594561795, 1.1788811962448449, 1.179004631490394, 1.1859140303251872, 1.1863947535058317, 1.1870651386693807, 1.187726859024414, 1.1877982492360857, 1.1899815607968192, 1.193856638916734, 1.195598226615151, 1.2047360064356423, 1.206573016192298, 1.2116267223768504, 1.211908842126762, 1.2124556090678533, 1.2183722427056893, 1.2202722309958047, 1.223222067930604, 1.226152959172181, 1.2381025396055376, 1.2416644561710624, 1.241689219030681, 1.2441728450960408, 1.2493371000174938, 1.2549395664767586, 1.255023949723849, 1.2562352118927356, 1.258468364951523, 1.265542244337088, 1.2683063343025613, 1.2698184511644175, 1.2733869838800107, 1.277010490480872, 1.2776525681198707, 1.2803823987933196, 1.2825366393576054, 1.2876210496960454, 1.2890494812164512, 1.2944275202361337, 1.2967412292893417, 1.2978596815229448, 1.3000998501926246, 1.3046313704976975, 1.3066307992921953, 1.3093943966756123, 1.310655780573563, 1.3139430696380239, 1.3142176865764585, 1.3157516687047142, 1.3158758455941146, 1.3174843436707706, 1.3262705157001073, 1.3313583196319272, 1.3315551895838802, 1.3377999351432335, 1.3400340153216515, 1.3443381748521168, 1.3487947882585356, 1.351885155934547, 1.3565468918715347, 1.3572321167562622, 1.3610870523311118, 1.364480517444433, 1.369365453159835, 1.3705168219891326, 1.3730696566763805, 1.3783242195482293, 1.380385538408205, 1.3823416296480784, 1.3838931474553957, 1.384623084438277, 1.39253445249937, 1.3958186159325974, 1.398245362981991, 1.4034154164826114, 1.4046961606144777, 1.4058333091279416, 1.408190715302704, 1.4084563424012158, 1.4101724727693756, 1.4114693371047191, 1.4142015224889553, 1.417185356068114, 1.417490150981528, 1.4241040956961133, 1.4258365226779361, 1.4299977836281554, 1.4318781157546498, 1.4336997481578926, 1.437770602751816, 1.4414206092851425, 1.443379833898146, 1.443415938269358, 1.4441225273029972, 1.446692015518505, 1.449020002712184, 1.4497511462741666, 1.4553512923278633, 1.4557630414831357, 1.456736514237321, 1.4628275267789355, 1.4635074607733833, 1.4652276681881813, 1.466420566971514, 1.4678705679596293, 1.46966570066147, 1.473391121923461, 1.4747626643155234, 1.4762368155631134, 1.477693066805104, 1.4866953315203597, 1.4877420896418483, 1.4929677991283279, 1.4960616495253014, 1.4964384553554686, 1.4983881195509934, 1.499872758904481, 1.500188793419042, 1.5012063076636792, 1.5015012865283208, 1.506335435774813, 1.5071838889940556, 1.509090033710658, 1.5093204416081922, 1.5107587501049347, 1.5110263319537762, 1.5134163956074007, 1.518198094202422, 1.5186251257624348, 1.5198391551993293, 1.521314136648933, 1.525395837945458, 1.525744639922231, 1.525828537160714, 1.5283108714945575, 1.5298107199127937, 1.5312439712155292, 1.5314449064316589, 1.533982894663546, 1.5357109144959726, 1.5408708987178232, 1.5424541669049003, 1.54253686220683, 1.5428943437027574, 1.5449577123019842, 1.5499912844071972, 1.5526343119896324, 1.5532952264111266, 1.5544431096318758, 1.556933407678223, 1.558634728100756, 1.5601637347708905, 1.5605056478689094, 1.5644370608956348, 1.5682255506077212, 1.5683657475700434, 1.5692227381796493, 1.5701776311136932, 1.5732995466023925, 1.5754188399381703, 1.57849367922467, 1.5790312418262764, 1.5820324446653296, 1.5853635564858295, 1.5854707654505102, 1.5864150400277328, 1.5893469432893292, 1.5939356545466998, 1.5944223201883876, 1.6043164143554236, 1.6109108290181495, 1.6133637375544239, 1.615351670631668, 1.6202223629297343, 1.6202945740408359, 1.6211927082912465, 1.6255372243165471, 1.6292888417787779, 1.6302225568936999, 1.630762566556199, 1.6358428434533474, 1.6362108767265473, 1.6373491948355137, 1.6383713567261773, 1.6406485757956073, 1.6428185285648955, 1.6437876623498486, 1.6501671227692174, 1.6515412408924677, 1.6527962682535793, 1.6542781290998432, 1.6577854652500914, 1.6606029561955464, 1.6614483142141458, 1.6647469015825214, 1.6682134043540846, 1.6689596716193564, 1.6691201120285288, 1.6728583255234961, 1.6745122869990943, 1.675710866442128, 1.6794734386969934, 1.679975237540166, 1.6822420253800108, 1.6852751487835413, 1.6853143121625642, 1.6892765211251126, 1.6914157762736681, 1.6925554210322276, 1.693425174390576, 1.6937153715336621, 1.693991618309919, 1.6980776805426008, 1.698935380091596, 1.7013334790336767, 1.7036512569244318, 1.7071867945441879, 1.711311286869453, 1.7123307235238823, 1.7153250418723793, 1.7168012867286107, 1.7190637172617038, 1.7203594585250495, 1.7224152029977173, 1.725069604799347, 1.725430345628288, 1.7272144140687495, 1.7282506489979785, 1.7289003670571024, 1.7291804717369068, 1.7293851161601066, 1.7342863939522297, 1.7377523523258254, 1.7399465956495308, 1.740584699962127, 1.7430901491741122, 1.745215894959353, 1.7457215852222638, 1.7465054339902106, 1.747831982591156, 1.7525399284954906, 1.7545999041886626, 1.7563245571215282, 1.756459951627354, 1.7596429047426516, 1.761274242058102, 1.7627243032160187, 1.7633670841579148, 1.763864856113658, 1.7691852123771026, 1.770426428151243, 1.771235013679991, 1.7736291433020013, 1.7769642042922704, 1.7825186979259, 1.783509088285191, 1.7835228702686496, 1.786184071758222, 1.7871943827730934, 1.7913771552353719, 1.7915171744615053, 1.7915216731933583, 1.7917542148850052, 1.793061240092563, 1.7939956710111395, 1.7945214994526129, 1.7950337224888027, 1.795773035054637, 1.7979944848051481, 1.799701879414874, 1.8026662056937908, 1.8064590779617, 1.8072450844610206, 1.8094437020555958, 1.8115643831311286, 1.8173387840946678, 1.8182673608791091, 1.8224240431072591, 1.823252189215054, 1.824629151366837, 1.8267494205564165, 1.8274398828577383, 1.8321561409472316, 1.8330485530552387, 1.8344012424715297, 1.8390534524116398, 1.839739231008496, 1.8421211684353402, 1.8439605627044235, 1.8447593338794515, 1.8460889457527823, 1.848354504602809, 1.8489968137727466, 1.849798615279642, 1.8510842369294143, 1.8527861941525632, 1.8538943176350886, 1.8581870844572248, 1.8591283983042608, 1.8617819643182432, 1.8626010000872646, 1.8671805590739257, 1.8675909741589176, 1.8681715017254348, 1.8690734968282015, 1.87462446692228, 1.8758338109250476, 1.8777378684855954, 1.878058984661948, 1.879630992033933, 1.8811839161515767, 1.8815249206994715, 1.8826359404120798, 1.8832107495199912, 1.8878647124827268, 1.888494288149566, 1.8897746690207489, 1.894542331537856, 1.8968784668684033, 1.8996678482991998, 1.8998662156392272, 1.8999258415872233, 1.9007445850974192, 1.903019147248991, 1.9061868984224275, 1.9085970968694215, 1.9109638032551486, 1.9126461367440315, 1.9146731354418642, 1.9148560680878086, 1.9159222953739763, 1.9163981588183774, 1.9169315477035704, 1.9190549024165744, 1.9192963075758032, 1.920548475433615, 1.927281193981278, 1.9288310350320226, 1.928925810029127, 1.9312693097130045, 1.9329470923595713, 1.9337852241404678, 1.9344701782076872, 1.9400443511012255, 1.943184846896312, 1.943378783191952, 1.9434094370204673, 1.9445912212366798, 1.9494177801138084, 1.9506040183431068, 1.9533142751948578, 1.953991027896427, 1.954142889809294, 1.9545609259602348, 1.955245572205646, 1.9559460301583667, 1.9578451945339446, 1.9621933438443664, 1.964350078595622, 1.9652807300224269, 1.965469001417185, 1.9662810763134217, 1.9702039102805264, 1.970502414727947, 1.9717302918591988, 1.97245505657649, 1.974275306062587, 1.9756761859970349, 1.9765140035321145, 1.9765170771158758, 1.980750119823551, 1.980886893497391, 1.9865768665637533, 1.9868487955241334, 1.9869230717052788, 1.9875226418863765, 1.9879277520576732, 1.9891233537311361, 1.9941369402450388, 1.9941908637070096, 1.9955409914753606, 1.996371480922235, 1.9972255613813183, 1.9999019969489156, 2.0000000000000218, 2.000112193983226, 2.001482207092632, 2.005342166983772, 2.005367282420668, 2.007703791695283, 2.008309975768317, 2.008313533183924, 2.009135579097828, 2.009387058875477, 2.010314985583193, 2.0103350449776727, 2.012340096432644, 2.0128655270228477, 2.0148664898754545, 2.0151273452952156, 2.0152410163536287, 2.0169494061209745, 2.0179922562170307, 2.0192636866659335, 2.0193759466002743, 2.0205957345142975, 2.021248726352748, 2.0222175350945895, 2.024100040846843, 2.024283089233088, 2.0243077004141528, 2.0262959298350913, 2.026697798356084, 2.026714572515897, 2.0267919363624034, 2.0272828261597304, 2.027968574182649, 2.0289197105170307, 2.0297067437165297, 2.031490265329417, 2.032239555170612, 2.0322928823303563, 2.033787329639307, 2.0347602840784993, 2.0350582958413495, 2.0357192235527317, 2.0363524613572506, 2.0367715942887137, 2.03796236201961, 2.038076324888125, 2.0384879562446705, 2.039185091189864, 2.0406792125879623, 2.0413314901547257, 2.0416977483620533, 2.041909528047934, 2.0429050711712198, 2.043833398404456, 2.0440889801848643, 2.044443712775141, 2.0446578282306778, 2.0448157767768946, 2.045030116232512, 2.045755832423768, 2.045959954982055, 2.047293044274152, 2.048314449203748, 2.0488209725892936, 2.049364146105573, 2.0504576829338523, 2.0510740147957267, 2.052400667533359, 2.053016766687613, 2.0533231799517297, 2.0533327518308746, 2.0535404260075154, 2.0535899568643634, 2.055832280859583, 2.0564609172980797, 2.0580626800345043, 2.0585961079693322, 2.0600336977896276, 2.0602215247608298, 2.061386421949806, 2.0623358750566663, 2.0635972598312184, 2.065229374807363, 2.065447926444227, 2.066492641131911, 2.066740412307062, 2.067789036524915, 2.0718457798302126, 2.0722814663408897, 2.0729877861621584, 2.074084588017076, 2.0756450580950885, 2.075693907548479, 2.075835986026885, 2.0760528297526877, 2.076431984260547, 2.076565748564515, 2.0778320032363955, 2.078294838214485, 2.078681426165644, 2.080395690133312, 2.082227984514666, 2.0834184772011306, 2.083755526916947, 2.084280176147794, 2.0894605661674017, 2.090762352158447, 2.09205413238891, 2.092218435806348, 2.0926386318036787, 2.0929641627133155, 2.093051745599587, 2.094464519684523, 2.095299039722493, 2.096158728674333, 2.097244394171803, 2.0972689162843414, 2.0973563931200716, 2.0984092040819338, 2.098908530121679, 2.0995349564172407, 2.1000519055925615, 2.100687767281612, 2.106297393486329, 2.106944553215932, 2.1088700126453164, 2.110891935538874, 2.1127825166836027, 2.112983662674529, 2.1143390079006523, 2.114444381352361, 2.117442064825391, 2.1180132734282178, 2.1192299453074717, 2.120036015697222, 2.120187341610747, 2.1226511056695623, 2.1236006458205074, 2.1245677853962444, 2.127819332832103, 2.1304874174554165, 2.130672135770421, 2.1310919868536224, 2.1313308412729417, 2.13143933911026, 2.132200523080725, 2.13281461819132, 2.133855923271234, 2.1340228985584058, 2.1348887089998194, 2.1373522176290827, 2.137780380059668, 2.1377866295617483, 2.1396257396253815, 2.1406648220166016, 2.141580926411691, 2.1426302226314156, 2.142646337448714, 2.145701346473787, 2.1457098130501002, 2.148389900323828, 2.1507824456583466, 2.153056769944947, 2.158326015364219, 2.159418351478549, 2.1616679106548684, 2.1639430589526114, 2.164607964846148, 2.1653408676804804, 2.166992362459833, 2.168915350063913, 2.1698796110703555, 2.1706286387906357, 2.1735048398170522, 2.173615320458171, 2.173790787565467, 2.1748680271619794, 2.1757936757990257, 2.178689798250795, 2.179436127006571, 2.1811402859590037, 2.182258430494554, 2.1824314172227246, 2.1826788277183526, 2.1846953666243256, 2.185487827887629, 2.186899926755765, 2.1879749702971303, 2.1884012538527924, 2.1925945017094794, 2.194875380647038, 2.195009623991596, 2.198580745060785, 2.2023994436528285, 2.2070405369152675, 2.209259898035817, 2.2104978220273654, 2.219766478587911, 2.222308360365809, 2.2236149256012596, 2.2238307663442805, 2.2280775639842685, 2.231278863143342, 2.232090330054965, 2.2371296700010186, 2.237380100543233, 2.2387096632551695, 2.2420820155616252, 2.244819825460495, 2.2473952320976296, 2.2496911942803255, 2.250310623721053, 2.2549676500138847, 2.255495528966751, 2.258448579516498, 2.2646065088521934, 2.267412386704546, 2.2679897604069383, 2.2694728104775366, 2.2706335114006024, 2.274700276361073, 2.276003467516938, 2.277449121519278, 2.277481216988489, 2.2801154194035385, 2.286082937894278, 2.286788707522102, 2.2872068514662454, 2.290865209517305, 2.2919706518866367, 2.293740995069807, 2.29790767294661, 2.298424815849685, 2.3005524606137038, 2.304759471950814, 2.3064912496644148, 2.307225275903906, 2.3084067601864873, 2.31459276804373, 2.318607778895655, 2.3188962456870983, 2.3256249168394265, 2.328625079516971, 2.3293356571308084, 2.3348253231728204, 2.3409070910037366, 2.341305683407974, 2.3442513246164234, 2.3452836351310817, 2.3467968430378074, 2.348354516977448, 2.3503613101721035, 2.352805108558932, 2.3537591832714764, 2.3547213024492923, 2.3572753867113563, 2.363087267923889, 2.363262430169628, 2.364695632873498, 2.3651456011675984, 2.367968357672519, 2.3682594246587767, 2.36840692390153, 2.3697685426982944, 2.3703859077879317, 2.370420170289773, 2.3720031839701803, 2.3725925230978766, 2.374199159893309, 2.381817256289286, 2.3845095834884615, 2.390357043810973, 2.3978462225168804, 2.3978889218233777, 2.3982800935291158, 2.399999148588589, 2.402124059764795, 2.4024580111150335, 2.4092308303212984, 2.4100350702465048, 2.410689820358037, 2.411743067713625, 2.4247486560070044, 2.4271857125697114, 2.4362180666363313, 2.4363858663143794, 2.444807899872307, 2.445029642465368, 2.4468263985767003, 2.4528589445959628, 2.4664639772480403, 2.4706446613059874, 2.4727491659816776, 2.4749541233506305, 2.4871564305792178, 2.488949651900588, 2.489586918066203, 2.4918545984815093, 2.4928816991593683, 2.498652989076606, 2.5028785337678983, 2.5037379317933097, 2.5078735570093005, 2.508920653296556, 2.512552440725155, 2.513170668158326, 2.513885850035055, 2.5173171141027595, 2.520855112128794, 2.5210367083640337, 2.5248982666894473, 2.538178323739499, 2.538411601311759, 2.5388979991867555, 2.540344422421064, 2.5463447361726437, 2.549728134586747, 2.550482480099733, 2.5596553607085344, 2.561841383621356, 2.5618616336487317, 2.569776729831322, 2.5701098298078415, 2.571372701596869, 2.5717139702635836, 2.575122590789043, 2.5784778055382587, 2.578483263114089, 2.5833964157524494, 2.586192311596853, 2.5886937986047607, 2.5910188710495112, 2.592118073592354, 2.602347794874628, 2.6064251214287486, 2.611406934640397, 2.6153606620658265, 2.6289398324530837, 2.633797680322118, 2.6373049390505225, 2.641078920968874, 2.6434373983791066, 2.6449794473294337, 2.650581267772893, 2.66026018950345, 2.6607676800217672, 2.664365167671627, 2.6655771574938925, 2.669650730217534, 2.6741017957924145, 2.6745829009914854, 2.678448530318249, 2.6788673475879863, 2.6854129762039665, 2.685536789809025, 2.6870757272347987, 2.689319700955744, 2.6893439308842186, 2.6900917809673306, 2.6908628038477103, 2.6919962143019607, 2.6965727907984856, 2.697161561418037, 2.701196009805224, 2.703625629691315, 2.7094025472670875, 2.715294494750987, 2.7230241086858458, 2.7254601227237973, 2.7258809235520842, 2.7279883258610793, 2.7285255260545394, 2.7303311154397374, 2.7362489665977208, 2.7371845609273477, 2.7375814727687784, 2.7393610078046984, 2.741641028989215, 2.7434534480742045, 2.747417506478519, 2.747801340192277, 2.7488774812411543, 2.7492966767361953, 2.7503477863504875, 2.751470125831421, 2.7529673291566126, 2.7555710571321876, 2.757668666744666, 2.758282264366364, 2.7594263680667677, 2.759862329743737, 2.7620325327203363, 2.762113121009319, 2.763389904241682, 2.7645923960819476, 2.7668064781130797, 2.7669720163244276, 2.7717208731093006, 2.771957306649316, 2.7741802569294522, 2.7771772232630867, 2.777672254964004, 2.7784680019569463, 2.779618270227694, 2.7810607775389573, 2.7830447254072146, 2.7840265458026825, 2.784112849306085, 2.784398649566132, 2.786160176092032, 2.7872447953551935, 2.787654037987261, 2.7884948589238796, 2.7893772754391812, 2.789930069576015, 2.7922844186063096, 2.7926790626348255, 2.7931398262371827, 2.796061834956115, 2.7969520385487736, 2.7974596281671227, 2.8011257790471835, 2.8034614437085676, 2.8041614700984283, 2.8042929837060644, 2.8046158345574224, 2.807595123084268, 2.808797276907916, 2.81121422492268, 2.81335434087846, 2.814404587053591, 2.8211182279932974, 2.8220742682933513, 2.822831701243318, 2.8234236949530476, 2.8248528803040425, 2.8286503555927807, 2.82950978733705, 2.8301391261508932, 2.8325186670584643, 2.835213439160698, 2.8364895048788625, 2.839733521455555, 2.840016576760911, 2.842392429710634, 2.843692310905208, 2.844939472977208, 2.847095131182489, 2.847173633103743, 2.847390074024658, 2.851604452942189, 2.8517033157506826, 2.8524612502294127, 2.8553815323833565, 2.8594193718097305, 2.859962659966558, 2.8624041776027997, 2.8629796603244126, 2.863027735971578, 2.8688172789982067, 2.8699801654152495, 2.872243091817592, 2.8730490624017113, 2.877051956199524, 2.877181137034198, 2.8795998865957557, 2.880194943402626, 2.881889638800159, 2.8829231160507653, 2.8831254184427952, 2.88468143093681, 2.886978226526211, 2.8886853293886374, 2.888722323031843, 2.8887880329400764, 2.889088229409501, 2.8920741667474057, 2.8939082950773227, 2.8975922000538117, 2.90175834609595, 2.901841669974404, 2.9025862880165, 2.903548861937243, 2.9046480605889786, 2.9072113337573433, 2.9080524953552773, 2.908484472374608, 2.9127806269234022, 2.915740243439929, 2.9184307881908826, 2.9206046645753667, 2.922761978682526, 2.925312806416751, 2.930667777417301, 2.9337030367304733, 2.939043144820867, 2.9395620556626603, 2.941238724947131, 2.9413571942410894, 2.941502596821282, 2.9416476303682852, 2.946506737971127, 2.9475185492655958, 2.94929873991698, 2.9503742592457898, 2.951205044354369, 2.9531041478728346, 2.9549325911965933, 2.9555213142647094, 2.956515324874113, 2.958580350607243, 2.961455725781184, 2.9625845872949665, 2.9635369946656276, 2.9645028858653375, 2.964559061338045, 2.9649346184092775, 2.966932166727951, 2.9675811043744105, 2.9676683874043897, 2.9690203756261124, 2.9692090456880247, 2.969438571016504, 2.9696779162938336, 2.97293668066498, 2.974920250683185, 2.975046942275156, 2.976237296882326, 2.9762865884015, 2.9781667641450214, 2.980273499699956, 2.980621232031281, 2.9823051568109324, 2.983564832437636, 2.98404633876866, 2.984661121978757, 2.9866556436764715, 2.9873534562036226, 2.9878977503689845, 2.9879673708132413, 2.988192453186186, 2.9885386846754827, 2.990656871766998, 2.990986853991459, 2.9915049522357404, 2.991549846684908, 2.9933879902339604, 2.994430792296145, 2.994739999691313, 2.9956573052677333, 2.996140719444818, 2.9961780929545925, 2.996510903732083, 2.998125615872442, 3.0002658992286397, 3.0009859492430637, 3.001192692952429, 3.001616205045818, 3.0024762429864538, 3.0030650930846106, 3.004311571916071, 3.006912856066458, 3.0084276552706575, 3.0088474318275416, 3.009238947284, 3.009816349826649, 3.0098880789470708, 3.0109103566778006, 3.012919469452692, 3.0129469913476488, 3.013091624035765, 3.013130130387959, 3.0150045829252257, 3.016261282788395, 3.0168274677816536, 3.018032710184979, 3.01812701601807, 3.020709381145915, 3.0231355025195965, 3.0231790434135077, 3.0238879568965826, 3.0246116235524996, 3.0249779437859594, 3.026355595913643, 3.027952429429731, 3.0287732055910523, 3.0304844013889296, 3.03080233375773, 3.0314917105413355, 3.0323680453870416, 3.0324855662756547, 3.0327393363050756, 3.034537158037462, 3.0349618149032738, 3.035614017025687, 3.0361190868888412, 3.03670502172134, 3.0372340020398734, 3.0379857760022997, 3.0433549485106246, 3.044176801292467, 3.0444028787421833, 3.044862425150104, 3.0465841781122163, 3.047057710833223, 3.0495678766226058, 3.050960562102283, 3.0515927418791273, 3.0528670218451417, 3.0532418042105016, 3.055080390313303, 3.056493130571156, 3.057837734075071, 3.0608352379254384, 3.061633342601426, 3.0632628072472414, 3.063398411584049, 3.065158868311521, 3.06561873600276, 3.067152545812415, 3.0691351546710397, 3.0705963250319774, 3.0722299834691267, 3.0743031529426736, 3.075781617223054, 3.07668651041611, 3.077944477525685, 3.079210595300918, 3.080618912538169, 3.081443496252927, 3.0821904373937716, 3.0824246371522674, 3.0837910539056246, 3.084014377894518, 3.087179963122609, 3.087385781280781, 3.0880848142849486, 3.0911719125170065, 3.091504754566528, 3.0951559634757126, 3.095998662560439, 3.096105677702613, 3.096533261049619, 3.0998481362087493, 3.101223431016351, 3.1021081831212327, 3.1023981939286323, 3.1044855040441237, 3.1050300799353825, 3.1055098607634792, 3.1076394995310297, 3.1118086342838733, 3.1120578147929527, 3.1146888651007627, 3.1153277058648214, 3.116813747312636, 3.117551572657992, 3.118986761852022, 3.1195725304046893, 3.120880729595619, 3.1238752654316624, 3.1254806638598125, 3.1263837966570613, 3.127706467590475, 3.1295873904977767, 3.1308220276011776, 3.131235393517234, 3.131340621641289, 3.131872899452732, 3.1332760106435895, 3.1332935463083715, 3.135311271356992, 3.1353805364931615, 3.1360923491475194, 3.137778437673495, 3.1390689606836455, 3.1391564868528263, 3.1415056781192185, 3.1428406879815944, 3.1435697625889336, 3.145544559747916, 3.1486806061684676, 3.151771611593392, 3.1522225134500386, 3.1527599330726033, 3.153826301296643, 3.1541101243989913, 3.155392161261302, 3.1583645779886558, 3.15941128696552, 3.159690427808967, 3.1642543788735757, 3.166893254652892, 3.1678263361401284, 3.1682104217135296, 3.169489292820621, 3.1706469735642986, 3.170832931234675, 3.1708729595803504, 3.173997681200266, 3.1746894870856477, 3.175167645539068, 3.1762786002935126, 3.1774263464139887, 3.178362830083228, 3.178845672423691, 3.1792944769612266, 3.1798195160742946, 3.181343974766414, 3.1816848995297615, 3.182682020736305, 3.182752740183522, 3.1844638224684556, 3.18555050431609, 3.187962909134908, 3.188534016629079, 3.1896570077570785, 3.1903355870057797, 3.1924557786173877, 3.19338842476989, 3.1949108886919766, 3.1953843827314565, 3.1964987089366916, 3.196831632159186, 3.1987362887909687, 3.198855775068782, 3.200142397582372, 3.2010718871867456, 3.2015953761540152, 3.202379475162708, 3.203431874671406, 3.2038922990922587, 3.2040905805563007, 3.2052463928511807, 3.205620582065575, 3.2082183618796667, 3.20838061589732, 3.2087328122423795, 3.210768494911647, 3.2124921173691185, 3.2126416917116702, 3.2134006649068385, 3.2138084927845703, 3.215916754149608, 3.216543116369008, 3.2165709063031342, 3.216716290230965, 3.217308942369135, 3.21909457347169, 3.2196847791052146, 3.220104037218092, 3.2214742158158414, 3.2219515837467614, 3.2224197937969516, 3.2229019078605625, 3.2229798774487293, 3.2243006658712385, 3.2244139511158214, 3.2252020281543436, 3.2260002546096147, 3.226877148340195, 3.2272329241701225, 3.227857670769401, 3.227964480986697, 3.2293016247822632, 3.23025440591062, 3.2304780097615198, 3.2320101072334824, 3.2326382419878845, 3.2337645932183285, 3.2339682637861658, 3.2346415571959715, 3.234772409941207, 3.2356482035169134, 3.235799733737341, 3.236165622794446, 3.236523094346581, 3.2369761611689913, 3.237855635220287, 3.2388198392117804, 3.2389131725575817, 3.240545894440116, 3.24196289029647, 3.2427976123950852, 3.24363219770336, 3.2446630132101073, 3.245168200242602, 3.2468397999218515, 3.24728096487838, 3.2488826128702057, 3.2489268450702546, 3.249653204496411, 3.2503317385733204, 3.253138075067837, 3.2535990888851423, 3.255776252948329, 3.2563119580616138, 3.2566326860344006, 3.2571326939646474, 3.2595185799804343, 3.2600285946726046, 3.260900053481682, 3.261365144122711, 3.2617111670496675, 3.264948867787408, 3.2658375240159137, 3.266307007511853, 3.267420023888034, 3.2694146392604972, 3.2702927655133776, 3.272270421773163, 3.27479657818622, 3.2748663670606337, 3.2760713491382436, 3.276821415657941, 3.278498230658997, 3.280017109701314, 3.281081311132558, 3.281860954532246, 3.2888458393294777, 3.2893148326783597, 3.28991548117031, 3.2915838952767618, 3.2956844768973954, 3.2966210086690535, 3.2968272383643833, 3.29786639553321, 3.2990851603046645, 3.3011651713342496, 3.301962498888542, 3.302236288690261, 3.3046649521793494, 3.3047364262272683, 3.3061638681022734, 3.3068916493783975, 3.307270415233054, 3.308484191454755, 3.3090925873536614, 3.3102901087601593, 3.3123915120400107, 3.3126349712830256, 3.31354203770369, 3.315124031537081, 3.317075834530961, 3.3174021848086026, 3.318305785467389, 3.3198077330280786, 3.3209635453598185, 3.3225178034619827, 3.3228637818704123, 3.323644747715292, 3.3263847925339, 3.3264155894201015, 3.32723356350285, 3.3280435739070215, 3.32930103962866, 3.329478198653455, 3.3305624322265737, 3.331163555294934, 3.3327417920839157, 3.3333334182072627, 3.333725918056661, 3.335914048543737, 3.335990765998413, 3.3360929104126567, 3.3364987430705075, 3.3385225966232372, 3.3391021151150504, 3.3391068496832585, 3.3402272730079985, 3.340419261488393, 3.340892624505561, 3.3410537133633684, 3.3435253941834944, 3.343707866170633, 3.3452860557444954, 3.345792343720652, 3.34607758613103, 3.346110080068087, 3.34707879120143, 3.348719265958526, 3.349524123633965, 3.3496205475569507, 3.3499546625268595, 3.3516695834609638, 3.3516884400379343, 3.3529331401628526, 3.3537973038255853, 3.3542026374759177, 3.3543691233790938, 3.3544650660316515, 3.356356685400597, 3.356507461860704, 3.3566559496633595, 3.3575231022737078, 3.359581845973777, 3.3602472903549443, 3.36086226009745, 3.361142477874232, 3.3629792970918793, 3.3633589845254024, 3.3640672273749677, 3.3643883333830535, 3.3645482758236938, 3.3652671874333353, 3.3663474247001175, 3.3666328947759867, 3.366996368743563, 3.3676633742959043, 3.3687248648133865, 3.369627062015083, 3.3705513278431276, 3.3708077908792258, 3.371488199716285, 3.372242652142532, 3.374332909021605, 3.376053939339737, 3.376986734997699, 3.376993446129708, 3.3778144690533183, 3.3783968398849566, 3.3795355279216497, 3.379805060813144, 3.3808490259064334, 3.3816554653077384, 3.38290580012753, 3.3837465938784823, 3.3843594580111547, 3.385140232389273, 3.387342675636635, 3.387591682802332, 3.3879677737867224, 3.388201960487679, 3.3907394880455284, 3.392932193890723, 3.3937753944742997, 3.3954338542282203, 3.3970788531643468, 3.3973455418858345, 3.398029173852772, 3.3987084004938137, 3.4005898311971627, 3.4009568610533174, 3.4012426363266384, 3.401933216346672, 3.4022043173036676, 3.4027841506234373, 3.404572370679821, 3.4051916843167227, 3.4066943645580645, 3.407367139824578, 3.408156751499961, 3.4090872581911986, 3.4097383121600653, 3.4127404880988728, 3.4137934281444284, 3.4141363943483167, 3.4163273290107, 3.418481081936779, 3.419358923411633, 3.4196657457012947, 3.4200825789230804, 3.4219762477002265, 3.4223367656294945, 3.4242367277191534, 3.425006537231642, 3.425619992738633, 3.4286540862886388, 3.430273847543767, 3.430300444820839, 3.4334792288241176, 3.434125845691303, 3.435118198697814, 3.435343616664662, 3.4365785798229704, 3.4368707374554432, 3.4378307449864303, 3.4381862314196083, 3.4396728172960844, 3.441207383873409, 3.4417117998657663, 3.446544882659019, 3.451429942629684, 3.453553218415964, 3.4542990764836072, 3.454561250882284, 3.4546552340061822, 3.4551357203887614, 3.458543606008307, 3.459807855863839, 3.4605576640138245, 3.4642726092018155, 3.464819328723069, 3.4660635820896726, 3.466485829281673, 3.468255415932388, 3.4713944541688067, 3.4789668783784413, 3.4795002248643825, 3.4834632967238086, 3.485930518428361, 3.487099949683864, 3.4916655612715006, 3.491836572733463, 3.493172379158022, 3.4949279763643366, 3.4963994577048254, 3.496662852364326, 3.498325106494831, 3.4990541050194697, 3.499916565355277, 3.5003699695137915, 3.502453345603127, 3.50245580721848, 3.5033708819954446, 3.504016115935723, 3.504164125780315, 3.505428035205477, 3.507796108918049, 3.5106839877274796, 3.5118329424444736, 3.511834775321078, 3.511854031343325, 3.513644928235197, 3.5159726066651666, 3.5186898818241428, 3.5207751041189495, 3.521086724255295, 3.5229451435896704, 3.5250280880989315, 3.527364366513477, 3.5278405080165594, 3.5323749979893457, 3.5350565407570764, 3.535196665832667, 3.5356250117031527, 3.538848251259507, 3.5398534112458653, 3.5400755370461416, 3.540235570042948, 3.5429961106510586, 3.544320734732773, 3.545876935220784, 3.547404388599476, 3.547911239564833, 3.5504476468429638, 3.550843205675678, 3.554507813985744, 3.5556401925241885, 3.5562010188722035, 3.557289446790502, 3.55768354106931, 3.5577088093047506, 3.559876156509539, 3.560229338784348, 3.5616821997350905, 3.562251869183811, 3.562984303770466, 3.564897760854866, 3.565191791363914, 3.567894976789949, 3.568432834452648, 3.5686086609178354, 3.5699772192647967, 3.570160252894478, 3.5731923549241937, 3.5732295450201685, 3.5749704007566345, 3.576081485160634, 3.577065275938554, 3.578354516499793, 3.5794536566248167, 3.579533332101195, 3.580142224314703, 3.581686377070571, 3.5831631345703965, 3.584528583807345, 3.585459127729994, 3.587364883760148, 3.588456589806041, 3.5894737192039856, 3.590574593875175, 3.5913352550820283, 3.5934686876424498, 3.595828882597203, 3.596287478231378, 3.597212328026646, 3.5999818479607, 3.6001380910858174, 3.600370975541937, 3.6006811133707877, 3.6079757462002884, 3.60854467586785, 3.609089615010333, 3.6114402776559964, 3.6130977761723435, 3.613883345382363, 3.6164891275804534, 3.617365098794794, 3.6175556750569755, 3.6186822847535574, 3.620084968615466, 3.620628642681432, 3.623818205105887, 3.6250469077841854, 3.627499728035551, 3.6278439127254125, 3.629266678744495, 3.6307472481169047, 3.632716177930918, 3.6340769722394333, 3.634298320600439, 3.6345374668276276, 3.6370210494510085, 3.6379440654446773, 3.6391695477097143, 3.6399643828258514, 3.6405072209857523, 3.6408635871316886, 3.6420650410719104, 3.6433178129825112, 3.6459879093469527, 3.6468277406954566, 3.6484442543311193, 3.649478226790113, 3.6509898510762047, 3.6510239837100653, 3.6513332333869823, 3.6528339032760835, 3.6558583499398267, 3.6571838838344126, 3.657354540500801, 3.6579315023146153, 3.65810691804793, 3.6591211231282856, 3.660200918652807, 3.660222097445713, 3.662256321014904, 3.663312327501399, 3.664595096693328, 3.666926365867677, 3.667362077904056, 3.6695764857036153, 3.669821326557511, 3.6717162275053195, 3.6748498036198423, 3.675007666864369, 3.6750566934485076, 3.6775899436292243, 3.677933740670513, 3.678511494124322, 3.679335511814006, 3.6794541458268504, 3.682158090835672, 3.6828942330833336, 3.6830706150375323, 3.6842534959994473, 3.6850345063763323, 3.6876368487566626, 3.687900142989725, 3.688525985791866, 3.6893215674437427, 3.6902931890298976, 3.691837471423266, 3.6924350707610576, 3.693989246039331, 3.6941038933469086, 3.694896844353652, 3.695616956198898, 3.6956425599437015, 3.6993215272747153, 3.7001816479933645, 3.7003410914614485, 3.700882094853877, 3.7020960679513877, 3.702212445626017, 3.7025605574392366, 3.705220450004221, 3.705342700465746, 3.706233219977552, 3.709790081421626, 3.7098345510945325, 3.7103370129104305, 3.7107619548631803, 3.710837250039457, 3.7120278102327027, 3.712121506187355, 3.713836231458465, 3.713959446613252, 3.7167705306846344, 3.719040392062679, 3.7206415005929387, 3.7209560304246896, 3.7220808711637816, 3.722159024075858, 3.7235777124555356, 3.7240907187432604, 3.724953579555706, 3.7251022314357654, 3.7267108900781896, 3.7289050731486295, 3.7297959562562966, 3.7300296858741753, 3.732684032770173, 3.732782125406373, 3.736046998935344, 3.737772283397376, 3.7384218051269302, 3.7390381930125023, 3.74382543981375, 3.745010223053749, 3.7468693630665855, 3.748166252822863, 3.7491095869880895, 3.7497522851955116, 3.750508932547933, 3.7512920786908803, 3.752479141528688, 3.75268565435221, 3.753313106167139, 3.7542243148876264, 3.7547243215040984, 3.7555316343094316, 3.7564542501016054, 3.758064984725306, 3.758694389085204, 3.758739813278929, 3.7592676838237282, 3.7594120830735815, 3.7604454900201287, 3.763326147258192, 3.7649169903522037, 3.765614143713428, 3.765670781013969, 3.767413580283586, 3.7680031585006057, 3.7682458202047053, 3.768905753863349, 3.7696744236332984, 3.770410773157684, 3.7720732356861726, 3.7751652323882174, 3.776192592101907, 3.777503345513887, 3.7780105245272515, 3.7804100882429816, 3.7817757063396624, 3.781816631052135, 3.7839715992473604, 3.784496688981285, 3.7863662727407403, 3.7880189770750334, 3.7891413581117765, 3.7897372423903253, 3.790542604506938, 3.7925086117247173, 3.7951670096478307, 3.7966233880153135, 3.7967708484172644, 3.7987945814074235, 3.8014056247559123, 3.801789128278207, 3.802404323734169, 3.804121331150239, 3.804331910690561, 3.8069758512167953, 3.807756745270577, 3.808929736566277, 3.8121237373060284, 3.815922466804242, 3.8163836358101446, 3.8169756865108324, 3.8194475785966593, 3.820398951423481, 3.821729983440915, 3.822867367647334, 3.8298007276285073, 3.8342091176576, 3.8351957869348676, 3.838497308416342, 3.8386710302245772, 3.839412538352938, 3.840749970645792, 3.8410079504387666, 3.841582758209861, 3.8428448877165784, 3.8490284103742134, 3.8514647961133126, 3.859902739631606, 3.8602704224451094, 3.8620080536057078, 3.8631305571317176, 3.866925362873374, 3.867845234361132, 3.871343738847981, 3.8764990214154427, 3.878186142591187, 3.879259789973785, 3.8795684025183634, 3.8812154909785566, 3.881299808857614, 3.8850494645953635, 3.88518778747783, 3.8893532767572196, 3.8938743069563766, 3.9002093356382126, 3.9028196560960526, 3.9035128574590092, 3.9039002108556193, 3.9065583451689117, 3.909866709591024, 3.9107259100115264, 3.9165656320856828, 3.9166394797208923, 3.9197136593234423, 3.9207829709602424, 3.9216328139297323, 3.923391059313834, 3.9240351458210547, 3.930235326375962, 3.9315020077283354, 3.935939449086166, 3.936049823407717, 3.9397913316609583, 3.9404309265997846, 3.9436424097309533, 3.9447228053280097, 3.9509368127409723, 3.952658609359873, 3.9527861099795234, 3.952888278594027, 3.9605967897538314, 3.9633166661114947, 3.963494645423187, 3.9646012763548653, 3.965612008272685, 3.968576838553658, 3.9721494333652085, 3.97395086406762, 3.97411703930959, 3.9758439668728247, 3.977428356922755, 3.9796581631367878, 3.985438131524866, 3.9867786133311, 3.9935872987168493, 3.9953004484208643, 3.997196276905152, 3.9988654666128562, 4.000000000000046, 4.001141625139949, 4.0014078389023435, 4.002438794847428, 4.002686040521291, 4.007531408277432, 4.019359491568227, 4.02084111624621, 4.022164010924115, 4.023975992918565, 4.024156477364227, 4.024992758392904, 4.0261433855104665, 4.028164746976133, 4.029016326356865, 4.029728506190748, 4.030463778495643, 4.039729176926578, 4.040016283978421, 4.040607968546021, 4.041360316338555, 4.042639613506993, 4.0428363852628815, 4.051592595674966, 4.052903491366043, 4.062355289690392, 4.063505059828242, 4.06810596017436, 4.068261673861994, 4.070054762710823, 4.071167877005795, 4.073887350824424, 4.075670598585014, 4.077377501605636, 4.0804070126957015, 4.081660306237496, 4.083107737157287, 4.083959843581833, 4.085783908662202, 4.08835011960959, 4.089925934814145, 4.091121684645832, 4.094174535050676, 4.096249458910878, 4.097573303766525, 4.097897446687203, 4.101327601531587, 4.101857377811014, 4.105536384487068, 4.107695005401737, 4.11211689718158, 4.113743559877971, 4.115393626069381, 4.116065089480562, 4.117539487986622, 4.117806967699349, 4.118083228531294, 4.121268161731202, 4.124819762427481, 4.12609642044131, 4.126879053849707, 4.132209015943081, 4.137149480249401, 4.137932371083847, 4.142895473698004, 4.143780366089368, 4.146183277343588, 4.1531570016404595, 4.15809442415556, 4.158250419524726, 4.162662370634513, 4.162868985189546, 4.16527884768873, 4.167805303110756, 4.176493441822445, 4.179958388579446, 4.18308009992604, 4.188679954876344, 4.189701484207945, 4.192218895558796, 4.193427218137417, 4.1942432222938235, 4.194469891340348, 4.197726553337994, 4.1977865665338605, 4.201918418601556, 4.204742150871694, 4.207473453923612, 4.209514347575818, 4.2130354950672535, 4.213082928818943, 4.213951208702525, 4.217389559594093, 4.217769864576635, 4.219317988739277, 4.21972366635669, 4.225466451939246, 4.228086716444271, 4.229781665528076, 4.2324448644908905, 4.234651923644386, 4.241458212906347, 4.243906412806871, 4.246341572356969, 4.247739281788611, 4.2508659738239, 4.253733978617655, 4.257110834321294, 4.257455696577006, 4.259975592813485, 4.261497118542423, 4.265238287621964, 4.265289114465226, 4.266994927492982, 4.268035637809497, 4.269655752952367, 4.272509710507845, 4.273000428193687, 4.2767193169326765, 4.277258994091285, 4.279340843606588, 4.285557510810849, 4.285662746322355, 4.286086837256139, 4.288034559247006, 4.291310684479442, 4.291655176034819, 4.291963350398104, 4.293549165658146, 4.294914741593001, 4.299334108970961, 4.299653576340335, 4.29999775722693, 4.302684326310475, 4.306901786069819, 4.307331744317024, 4.311675245137656, 4.313154697878536, 4.315754972761932, 4.316276368083889, 4.317099797580204, 4.320422172317725, 4.320790918256114, 4.3208093952012225, 4.321169758281587, 4.322687239294725, 4.325288871995768, 4.325548830498637, 4.32656134211052, 4.3277749975232265, 4.329311622726108, 4.329486481855528, 4.330150653014334, 4.332342302296778, 4.333857756295773, 4.338726059301559, 4.339458822086518, 4.340035916737274, 4.344659190543974, 4.345366379015759, 4.3471779747894495, 4.348687372745669, 4.349025183176438, 4.351977113128572, 4.352678331635467, 4.353299100527749, 4.354707481681723, 4.355150277323801, 4.358343241198407, 4.359830823773601, 4.361503898490224, 4.363750211655677, 4.36408330118661, 4.365670991719779, 4.367217161929996, 4.367305320859134, 4.369026613019248, 4.370397402147747, 4.371962815137411, 4.376692646846048, 4.376782547427719, 4.377209063441518, 4.378618891962693, 4.38000803822514, 4.38239432708832, 4.383752576696312, 4.384575803280001, 4.386310215757712, 4.389484809612184, 4.390542502651201, 4.392351764314021, 4.393916223468842, 4.394119600826914, 4.397783651249252, 4.399930599778054, 4.404177300846361, 4.404782773059462, 4.405817918056316, 4.4062309889427365, 4.408693869841046, 4.41064257908887, 4.410851497288852, 4.412387280080882, 4.413717383928987, 4.416059934654457, 4.41817341922851, 4.419180060577274, 4.422296739571252, 4.4239612959310675, 4.4256455154841685, 4.427008401631814, 4.429065855907778, 4.430716287087827, 4.431680626541204, 4.432146614013623, 4.433744622886023, 4.435025692162999, 4.435825799216727, 4.4382248842998155, 4.439212457217484, 4.439673726024633, 4.4430485918030955, 4.444751969213429, 4.4456851181613946, 4.447666956993589, 4.447729586629584, 4.449767343411244, 4.449990098180521, 4.449993878868476, 4.450923208725397, 4.452038246212176, 4.452380848777516, 4.452571054605762, 4.45307883620609, 4.454582443438884, 4.455409901410252, 4.459026911855689, 4.4599919267672075, 4.4609878056525325, 4.461403429199137, 4.4638847783048154, 4.465545291076781, 4.467776417354346, 4.468470291252849, 4.469060952979726, 4.469320108916449, 4.471503209120107, 4.471695957039137, 4.473422641031582, 4.475816315056787, 4.476189968232652, 4.47682829573271, 4.4779973163351245, 4.478118240692504, 4.479427723169154, 4.47969171492641, 4.481237838979857, 4.48280920253647, 4.484305405755807, 4.4857709572424564, 4.485982283334703, 4.486362896620115, 4.48656227264897, 4.487031057481615, 4.487462059575804, 4.490776195740093, 4.491042553312151, 4.4917231915580755, 4.493737238150869, 4.494936924513265, 4.497299095593912, 4.49951518299032, 4.499946913421708, 4.5011148436804245, 4.501801395663252, 4.502450285181043, 4.503739184503206, 4.50759440218458, 4.508818835841524, 4.509148545468902, 4.509681599686212, 4.510568375802264, 4.5146417142211055, 4.515613628238278, 4.515864451040496, 4.517690268881013, 4.518594455500143, 4.521839885017725, 4.523068633803528, 4.5233196817409205, 4.524476038546944, 4.525315100381741, 4.52557735049545, 4.526206402086736, 4.527509801336931, 4.527906751143542, 4.529286398235682, 4.530673810194629, 4.530784679442108, 4.53213457705889, 4.533429452081406, 4.538787372002648, 4.538953724236292, 4.540992949056507, 4.542078618669373, 4.542572867294334, 4.543054656389758, 4.545275990511083, 4.545481377844136, 4.5478713644903355, 4.5504418854844015, 4.552085574382091, 4.553093110747296, 4.553405456511103, 4.553760180295128, 4.554927720284755, 4.555520143202089, 4.555918528394511, 4.558860250565651, 4.5613343040586, 4.561943743961963, 4.563741171469188, 4.564157728093984, 4.567526577797131, 4.567633863047199, 4.568178976480257, 4.568385571176785, 4.570968419612309, 4.571533637588521, 4.5756791934092265, 4.578938590409833, 4.5792601448017525, 4.5795620965564305, 4.579844138504972, 4.582551019406959, 4.582755426008577, 4.587378496782443, 4.588116775345941, 4.590479366683718, 4.59243495761345, 4.593017679088126, 4.595316934662367, 4.596914338843035, 4.599018437407312, 4.600879175798962, 4.603531346268726, 4.604225115778612, 4.604858429368245, 4.609682251321566, 4.609740148321307, 4.610142155358701, 4.613672850174282, 4.6143404030759445, 4.615576332470458, 4.615668471390035, 4.618102684318161, 4.623328478970902, 4.625299335013882, 4.626806988932417, 4.626839133994958, 4.628852537495974, 4.632609926468297, 4.633650547269027, 4.6342789355757725, 4.634336036576311, 4.635032969829722, 4.6362213724183166, 4.63677412239941, 4.637925185285862, 4.638036256938821, 4.638972786875469, 4.63993523006448, 4.641906455424047, 4.6431248270485845, 4.645500323368894, 4.646474307228602, 4.647717254418354, 4.648154317922409, 4.649013513365674, 4.649809585642931, 4.650006181349284, 4.651139335361507, 4.651825439486743, 4.652400326599267, 4.652609047521581, 4.653972897852822, 4.654840232130155, 4.655323291244193, 4.655748740836435, 4.656570414648376, 4.658583400010545, 4.660935742340356, 4.661320086721378, 4.663079709595417, 4.663847152045053, 4.664194506394332, 4.66544159627378, 4.665509849433263, 4.668567803233397, 4.668964289644617, 4.670033796451849, 4.670996405039324, 4.674352675461922, 4.675907183682084, 4.676126769174142, 4.676699532613724, 4.677906781128296, 4.681226492818172, 4.681857510338697, 4.682041016396835, 4.682403290093253, 4.683330077737915, 4.683983459105746, 4.684619167771515, 4.685660903810166, 4.6877350921775465, 4.687896996964422, 4.688504486715543, 4.690669264993795, 4.69086786081996, 4.691411143505319, 4.693329810698276, 4.693819301101519, 4.694281160182287, 4.697784873485471, 4.69781105759626, 4.69889308728884, 4.699191195784565, 4.7014296834026235, 4.7024556145272625, 4.703180066982658, 4.7042439016464614, 4.704865738174816, 4.70588227564032, 4.706382368608024, 4.708336388689129, 4.70929716790238, 4.709729947446399, 4.710933649075331, 4.71124082520978, 4.712866664958417, 4.713856164984225, 4.715117910556238, 4.715162683978175, 4.715348844231639, 4.718210587535604, 4.71862604351196, 4.719514956479281, 4.721606342498796, 4.7236722968422, 4.723805281002077, 4.723929222382647, 4.724268177277918, 4.725710801595364, 4.727361214679994, 4.729569718830132, 4.730838672244317, 4.7323398187702725, 4.7328927144120145, 4.7331160812274256, 4.735987655231537, 4.7363246915134685, 4.736508861716053, 4.737196895579397, 4.738633229973933, 4.738895490329599, 4.739717448314726, 4.741723534070598, 4.744350241719707, 4.747120384554396, 4.747417103465379, 4.750218842902618, 4.7513525180967315, 4.754111983686208, 4.755774141675004, 4.760603233059007, 4.760915005828103, 4.763653198245022, 4.764392940557565, 4.765550909091401, 4.765799339073742, 4.7685768362757015, 4.769735579128374, 4.773918313771245, 4.775928605673717, 4.776161356862702, 4.7764174124787475, 4.778144765348434, 4.778974962525469, 4.779175418276948, 4.781306845690443, 4.784944641118522, 4.786106762671955, 4.788226889406828, 4.79477002032806, 4.801928399894783, 4.802037354264469, 4.807482450767926, 4.813556375597191, 4.817127674856929, 4.818376129856955, 4.818482150518702, 4.82325518480429, 4.82340747362849, 4.825355546086285, 4.826268503905757, 4.828330860195678, 4.8291421402763985, 4.832456607979613, 4.8339276686685215, 4.834288892412759, 4.838160256889686, 4.840820718005871, 4.845694304150027, 4.846354467118636, 4.847578352312683, 4.851974857503849, 4.852373166570191, 4.852990427229983, 4.855373266129364, 4.855468805527632, 4.85575569816049, 4.858406063317176, 4.8585913097390625, 4.8598942377960235, 4.862622241311345, 4.862773483594947, 4.866206925654044, 4.866609798977972, 4.870793120196596, 4.874012767943765, 4.874814578637302, 4.876088223223347, 4.878966324573483, 4.879619752104429, 4.880499414968574, 4.882776451582344, 4.884033142420339, 4.886030993162131, 4.887101881767938, 4.888459618370511, 4.889012623744704, 4.890945643073778, 4.8909808444737095, 4.89335668415345, 4.894870191611796, 4.89611807525181, 4.89740245878683, 4.900812716625126, 4.901084099212956, 4.902883769031762, 4.904506348933147, 4.905201626517176, 4.908055945259624, 4.908964602261363, 4.910786741844694, 4.912671141579074, 4.914516321058576, 4.915198603392447, 4.915871130541212, 4.918692356524149, 4.923226311215739, 4.923868684324037, 4.924742724018959, 4.925368562748064, 4.928353014740022, 4.9284113657699224, 4.929596496893183, 4.930816131920438, 4.93274520657971, 4.933436720645205, 4.934561103526242, 4.935708088419546, 4.936931143506365, 4.93756597624615, 4.938150204262421, 4.938859843071134, 4.940403483282666, 4.942096541853272, 4.944099494909174, 4.944808719519658, 4.945290552480491, 4.946407170361378, 4.949520996075516, 4.950322020736717, 4.951931884887383, 4.952912752129183, 4.953688620846515, 4.95622987892119, 4.957516426851807, 4.957577773653434, 4.959199639426649, 4.960786016719061, 4.961685857074735, 4.961796370533959, 4.962038367719325, 4.964028834502207, 4.96653280432407, 4.967964796137105, 4.9685001420548245, 4.969131990897863, 4.974727146304824, 4.975820035321019, 4.9764244345284565, 4.976687542943883, 4.978022041403752, 4.978685691080285, 4.979213673623301, 4.979423793834702, 4.97959894697987, 4.979672519162787, 4.979875458577164, 4.9806903046423585, 4.983066171478209, 4.983068896573217, 4.983349599279264, 4.98480581550674, 4.986214067271957, 4.986241771067675, 4.986922114154874, 4.987335550365452, 4.987389055312995, 4.990116159659158, 4.990314991912405, 4.991745343371783, 4.992185590439715, 4.9923446847729895, 4.9932121424969305, 4.993235019945134, 4.994578258832093, 4.995256266153526, 4.99650586557791, 4.997287442880417, 4.997386930050021, 4.997631869101412, 4.997651346436531, 4.998290752203422, 4.999797782592749, 5.000531351522328, 5.00119297519147, 5.00189719923913, 5.001906542237322, 5.002885629797634, 5.003546296057118, 5.004065768785223, 5.0043586071532715, 5.007527425242527, 5.010354150871816, 5.012565998813015, 5.013406862559309, 5.014064093259261, 5.014112263042849, 5.0156655946258235, 5.016590514032671, 5.017522144483869, 5.0178017668151105, 5.0179683036524905, 5.018320902148589, 5.018851833417184, 5.018874437442819, 5.0216962528587965, 5.022297818132181, 5.023266004150442, 5.023707259297157, 5.026162653239255, 5.028771029429637, 5.029119392564333, 5.029427497045512, 5.0300114654746775, 5.030909061529053, 5.032828733881252, 5.032874886742297, 5.034797645739013, 5.034960008949111, 5.036403906492548, 5.037402938258003, 5.037751560420476, 5.039030082889445, 5.039251205192729, 5.04071181397889, 5.043098247941568, 5.043670088052038, 5.045435670858661, 5.0454681952672225, 5.047112000762646, 5.049295599448335, 5.05262858007893, 5.053440260050781, 5.056999387405453, 5.058615223828272, 5.0599210940661905, 5.062144055215078, 5.062481104808011, 5.062644980194021, 5.063434629063086, 5.065929543853184, 5.071261801548842, 5.0714795686139995, 5.073576383882278, 5.073694018317366, 5.074236794774272, 5.076280817178795, 5.07713561123239, 5.078781872902198, 5.080721690283767, 5.082605514711091, 5.084325849557982, 5.085135861602697, 5.086710880296824, 5.089332631599877, 5.091177335915644, 5.093909716461323, 5.095053889513842, 5.0978177998022804, 5.098548009511294, 5.099909378339714, 5.102052691898165, 5.1024389583856635, 5.104753089703171, 5.1048845704543995, 5.105126233252468, 5.1086174557943735, 5.1137386804762635, 5.114288949607628, 5.1143592006314265, 5.115377359881422, 5.11749429846474, 5.118219161226855, 5.119717933246213, 5.120422360647317, 5.123520383672106, 5.123587678709205, 5.125328726662939, 5.126558730061628, 5.127113480051235, 5.12718871836005, 5.12738525447264, 5.128414456868811, 5.128654478897891, 5.1309882695080855, 5.13129165233353, 5.131866899719764, 5.132222368683451, 5.133116776584587, 5.134062994781621, 5.134887300140881, 5.13590448162047, 5.136391925888463, 5.138487511819982, 5.1392100960131275, 5.139633453287398, 5.1401715782653765, 5.140448860358936, 5.142314020719978, 5.142395013836835, 5.1441407884275865, 5.144845515838765, 5.145557284179028, 5.145905325233264, 5.146512326559158, 5.148324997128789, 5.148464219886987, 5.150361018532134, 5.150865095979536, 5.151225057161373, 5.151444418974875, 5.155814657743526, 5.156347203879358, 5.159700571322293, 5.159951834527805, 5.160866511053849, 5.161239916865685, 5.162491939048264, 5.163048423660054, 5.163651108153649, 5.165374119824736, 5.166470606096595, 5.167024661329085, 5.168560396305068, 5.172089925614285, 5.17320052570298, 5.173876566438271, 5.174549702693408, 5.177359320830643, 5.179805417221936, 5.180337686830826, 5.1806072316080805, 5.183435256485653, 5.184110075044488, 5.188363861805806, 5.188640143134209, 5.188781337246538, 5.191239725793429, 5.1913742347469505, 5.192661620328962, 5.194030298483029, 5.195040084759969, 5.195963320980125, 5.197628890680286, 5.198590769624529, 5.200046845919229, 5.202587180062033, 5.203310166562234, 5.204831571054694, 5.205078677883363, 5.2054406097222525, 5.207722504282738, 5.2089413696523055, 5.209129850804366, 5.213871491426534, 5.214350592434351, 5.21477740596305, 5.217825589925911, 5.218542110472661, 5.218862902918517, 5.219254372349118, 5.220757714691371, 5.2218900812315745, 5.2222424856657055, 5.2234633481049, 5.22552520621727, 5.226274291432233, 5.228312525021083, 5.2319602197381885, 5.232302317868072, 5.234460162362848, 5.234613786234195, 5.2354741713014805, 5.236488388167859, 5.239289459174559, 5.2393079739646, 5.2408052965524075, 5.245206013777639, 5.2467481899181765, 5.247746013447167, 5.248786421412285, 5.249399164452946, 5.251022015271072, 5.2553755617120235, 5.255865970246147, 5.257029971471029, 5.257145622157195, 5.257699680090055, 5.258820772278181, 5.260273509174502, 5.261132369439592, 5.261265060564294, 5.26171615152369, 5.264641091393415, 5.2676369564900964, 5.268401653606859, 5.268989669263767, 5.269989902350796, 5.271750632409939, 5.27238842743769, 5.2750744734785515, 5.279522629509545, 5.280369365073746, 5.280888528968641, 5.2809143325677015, 5.281603453215383, 5.282987234574749, 5.284345952846103, 5.285422469111753, 5.285996833422372, 5.28982949654736, 5.292449803397267, 5.293196807312537, 5.293968600781429, 5.296156109599975, 5.29645461348792, 5.299548906780667, 5.301106237740589, 5.302084568448349, 5.303089332968819, 5.303935467629204, 5.304431966779223, 5.306465026159746, 5.310432708944412, 5.314255189455267, 5.316518543547287, 5.317755611837874, 5.3183804762117415, 5.32003548693898, 5.320502877458935, 5.32518588327082, 5.325779424701244, 5.3261451183400315, 5.326465773424367, 5.328109543166497, 5.332118300779538, 5.333147687074918, 5.333193408617045, 5.333310748006825, 5.340393188541191, 5.343389949799551, 5.344801012936101, 5.345602069678435, 5.346834189451752, 5.347089029735607, 5.348540599713903, 5.352580804513616, 5.353872762165433, 5.356976219316625, 5.359898685651317, 5.360293831536744, 5.360507901659079, 5.363958008593367, 5.36623037796608, 5.367003342539625, 5.368597358806216, 5.370793765379808, 5.372080700570241, 5.3761528923374495, 5.380962184554051, 5.38209937671946, 5.38493959363131, 5.385688001649401, 5.385897624265557, 5.38862635520109, 5.390368813491397, 5.395501673423248, 5.399328793209, 5.400477360088544, 5.4017706063075215, 5.406253642912258, 5.406283885511112, 5.414985293954928, 5.415047306727322, 5.41572332351909, 5.417594204737205, 5.424882737591347, 5.425709745084683, 5.428096912811494, 5.436635163042208, 5.437547737897986, 5.4379174499515255, 5.44357090577619, 5.4453594559590845, 5.445887628270181, 5.451157038121149, 5.452023603933384, 5.4525759895083885, 5.455253214926085, 5.456384447687807, 5.463052926405611, 5.464031769104868, 5.467471296255984, 5.469002024860489, 5.475823831093446, 5.478370091645595, 5.481558061902114, 5.486592550653929, 5.490125181197772, 5.491230952697712, 5.494403112321695, 5.499901432550069, 5.5007655157475766, 5.501945784507376, 5.504906065272948, 5.506616450349162, 5.507915937334699, 5.5122773864381225, 5.515888012826041, 5.517367104464199, 5.517416416051148, 5.518173273843368, 5.522763356322853, 5.522794542124001, 5.524846481606606, 5.5275212052958524, 5.5288537138073695, 5.5301924176058455, 5.531254038672103, 5.5316333976114915, 5.537935611871681, 5.544566759830233, 5.5477000229607505, 5.5511211401872975, 5.551891706294574, 5.5539322066114405, 5.557019907087209, 5.560660296012347, 5.563976630843325, 5.566274605786277, 5.568294936392319, 5.569026412050421, 5.576796431350469, 5.578238147063994, 5.581244378880164, 5.583847172741975, 5.586491594367056, 5.590082201807938, 5.595853788143135, 5.5980798069398805, 5.598365229572871, 5.600030509940349, 5.6035544706314155, 5.603567000856426, 5.606958107923613, 5.610200948045186, 5.612421355765593, 5.614710998693774, 5.619009836261367, 5.620469085128069, 5.621249661153358, 5.623367570149, 5.627098736214443, 5.627486605843107, 5.629285799606538, 5.631119112389883, 5.634413353347262, 5.635534799166721, 5.6395878077936965, 5.641654520187035, 5.642681261741443, 5.644521786912758, 5.649088737424253, 5.654959506452643, 5.655469262546901, 5.657251341764352, 5.657310522942453, 5.657625831974376, 5.658080372374661, 5.66197183833731, 5.662354963305358, 5.662424988289743, 5.664094171136953, 5.6643193737060775, 5.665820663481886, 5.667268230417641, 5.668075377989159, 5.66856155599066, 5.668587624422412, 5.671420115994492, 5.672747858953859, 5.673293792202815, 5.675224717205679, 5.676689945592794, 5.677012252996089, 5.677799417794199, 5.679945979898525, 5.681076079319278, 5.6818114416963, 5.683042334040658, 5.684206304592864, 5.68507994627107, 5.687642857632191, 5.687878202562124, 5.688517868104907, 5.688786563152562, 5.694923391380946, 5.697593497131845, 5.699961610406922, 5.702466893075073, 5.703011695469945, 5.707887198407814, 5.708573137943173, 5.708794495693897, 5.709956652924575, 5.7105739220885585, 5.710745999241422, 5.712264299913037, 5.71365267459044, 5.71690374846144, 5.7192189355958, 5.719802761586782, 5.719859044067949, 5.724854177234696, 5.724985789949274, 5.725436010607972, 5.735986386564637, 5.739241252177618, 5.743511856817346, 5.7447573965897165, 5.747989539916633, 5.749591966937221, 5.752244771731713, 5.753202777688942, 5.7543735371491245, 5.7580199027443895, 5.758060352034682, 5.758628431700409, 5.760372040506829, 5.761315357653284, 5.7625486307615645, 5.762609566771033, 5.764004831049617, 5.764859240558073, 5.772010581480347, 5.77659942283181, 5.793331006267504, 5.79462551924818, 5.801422374876844, 5.803130739131634, 5.8100131712128595, 5.810394797338672, 5.812246815952407, 5.815170901893653, 5.816327372767792, 5.818115358380983, 5.81923479337558, 5.8192778563003635, 5.821229783498707, 5.8226502567057015, 5.8282287503662085, 5.833883772291411, 5.833916293611524, 5.835477767277315, 5.841188472432803, 5.841602357204817, 5.847138130353585, 5.855788757939272, 5.857584080128286, 5.86080832817042, 5.863340759498743, 5.863670199501012, 5.8648495629221795, 5.867922026685165, 5.8684829047154885, 5.870411662374771, 5.874210509458451, 5.8759029964878895, 5.87607902660568, 5.877916899406542, 5.878975463200937, 5.884689342299679, 5.886866307957075, 5.8874217445042705, 5.89073803455047, 5.890827093079164, 5.8908920905691415, 5.891659625469893, 5.895502879340493, 5.897589897870337, 5.898797355156345, 5.900997962338844, 5.902642477247673, 5.905862982153, 5.907102004563963, 5.9104413467688595, 5.911064451491851, 5.917622297843538, 5.918282920730669, 5.9209838806883885, 5.923327635217076, 5.924512238240012, 5.9295826577496324, 5.932873194401846, 5.935062995214981, 5.937191660938163, 5.939286151736378, 5.939659628177822, 5.944614955067795, 5.9462240652641976, 5.946913705937387, 5.949247906005132, 5.9535952293540655, 5.954755429315289, 5.960655597908185, 5.9647063275703855, 5.965582182490806, 5.971531980500744, 5.97299424540858, 5.975174130239467, 5.977137608316353, 5.97872527032166, 5.982547831055085, 5.986343574359707, 5.990077782421194, 5.991854889821068, 5.993728902303481, 6.003302187440555, 6.006857499608217, 6.009956728519599, 6.0101196960343275, 6.012028328063533, 6.0128627694001, 6.01520234771581, 6.019013291819408, 6.019070101352078, 6.019215919841251, 6.020627977315942, 6.026293749398615, 6.027968803336856, 6.0294026317401315, 6.02944947471503, 6.029877995433055, 6.0322881746457195, 6.036023419260229, 6.040313622786825, 6.044186006297101, 6.045029960010037, 6.048312958777232, 6.053232695018145, 6.053611782614989, 6.055799040064685, 6.056456344476483, 6.059965670331924, 6.061385885073148, 6.063155172531107, 6.067326828822799, 6.069313584448129, 6.073429010914005, 6.075495113712325, 6.080332794774529, 6.080405704344188, 6.082330628431291, 6.085231641367808, 6.0897046533043975, 6.090495179815155, 6.091847848810195, 6.0960647275265405, 6.096780304963746, 6.097004452987045, 6.101450554474563, 6.10155268293576, 6.102093837417568, 6.102104852648755, 6.10432949381434, 6.105361085989478, 6.107458882525925, 6.108896174415316, 6.110006514847721, 6.112274879335251, 6.114486910529827, 6.115356865816846, 6.119914968996341, 6.122468024750219, 6.12449517346791, 6.1249362920765416, 6.126093306168966, 6.1284951545680375, 6.129673747528864, 6.131106342828506, 6.132158981707262, 6.139105882978603, 6.139677779777472, 6.1401331881526415, 6.140177102100538, 6.140980812522936, 6.143894706780696, 6.145096577182759, 6.147490574540333, 6.1500896331874735, 6.154113208447036, 6.157015818637631, 6.157957447026363, 6.16081336800158, 6.1624459529265465, 6.164138634064945, 6.168262854538163, 6.170144462175211, 6.1740624735114356, 6.175516982346983, 6.17905576515461, 6.182192899572317, 6.182536706359593, 6.186567008166254, 6.189792953805701, 6.190293413182341, 6.191617404515225, 6.194865443343887, 6.195415706639235, 6.198485812844377, 6.198600799972331, 6.199750048497608, 6.201622502567871, 6.203333732735818, 6.209180911195211, 6.210701120598921, 6.212145803192857, 6.21519928344818, 6.21735110412486, 6.2174015589159914, 6.218982245065723, 6.219177102270325, 6.220340634576142, 6.222139576829723, 6.226601590194673, 6.227124297816109, 6.22857916709267, 6.232312811889117, 6.233246642769066, 6.236409481844289, 6.2375354358043, 6.245523499039712, 6.246844619956317, 6.248161638916134, 6.250734938657247, 6.250854562455557, 6.254555395497706, 6.257752905277273, 6.263401548690667, 6.26752825073728, 6.269280953574599, 6.271851462602766, 6.273716971937335, 6.27511620677158, 6.276004976848009, 6.278286571938918, 6.280260546881127, 6.2802815845460165, 6.281192081869111, 6.283702623738394, 6.2859571554099105, 6.289147891659261, 6.291138037032534, 6.292555664769327, 6.292635024221398, 6.293661486400541, 6.2965177419950225, 6.29703975029002, 6.297709133660687, 6.2983751437452025, 6.298552080569004, 6.300323617311428, 6.305027273831597, 6.305553404553976, 6.307931652960976, 6.311675643078747, 6.311709396390157, 6.314119651291461, 6.315579700696722, 6.315928230047708, 6.316738263571919, 6.317506742851899, 6.318900385833621, 6.320474217590726, 6.32058142221566, 6.323264506668111, 6.326030328561761, 6.332768697412935, 6.340890101645988, 6.358115777907506, 6.361850614613301, 6.370446769736888, 6.373614932584431, 6.385398552145307, 6.396741411367156, 6.399999201867438, 6.429258216882542, 6.438322005137336, 6.440451670741916, 6.446876715727469, 6.4487490329947885, 6.448804722673822, 6.451701520854579, 6.452063954801428, 6.45226620382548, 6.457230646614999, 6.458099677269551, 6.460757269175398, 6.466840029835482, 6.46707536194774, 6.473072355175882, 6.474885501702499, 6.474920400791205, 6.475009105901879, 6.479368341565891, 6.48181320139688, 6.48248033089131, 6.483102707206021, 6.4835525027324, 6.4838949297855, 6.48449838188249, 6.487881091671588, 6.488527976184503, 6.4889998370483415, 6.48987887576239, 6.490869370753134, 6.491021333425713, 6.4934845512083355, 6.495345387362346, 6.495925888363635, 6.497225519515985, 6.501271177543375, 6.5020987423302214, 6.503573608504462, 6.5038569591033815, 6.504093295352775, 6.505013018884911, 6.506137614764931, 6.506732658585852, 6.506795399902551, 6.508433543370902, 6.508854147264387, 6.510685035585134, 6.51226899019822, 6.512800154361964, 6.514962284047945, 6.515003077139176, 6.516572969502143, 6.524176931983719, 6.524539175944446, 6.525666322436108, 6.530205613431854, 6.530792590193469, 6.531008823440574, 6.5314771814270145, 6.532453773649527, 6.535610641471305, 6.535901289428086, 6.536014473444754, 6.541512652489744, 6.546508124350997, 6.554447864782768, 6.555322248896939, 6.5565366407321894, 6.560974530385192, 6.560986799555599, 6.562292868360971, 6.564955427252299, 6.565297867297862, 6.568859899900621, 6.570526062256747, 6.570645414084312, 6.572955793428445, 6.579863373315816, 6.594200696266521, 6.594210136375833, 6.596055232267851, 6.59850952137649, 6.605628479946704, 6.618509439709972, 6.621355909140123, 6.622339166968281, 6.62345527090034, 6.6277898612513875, 6.633267091733972, 6.633792108437304, 6.638350159673934, 6.640201849121732, 6.64091785246358, 6.642947232739861, 6.646329193354559, 6.650341400008098, 6.651387567473626, 6.6531955630457205, 6.6567143882594255, 6.660186662792366, 6.662364497746908, 6.666063160875987, 6.668175100632003, 6.66828646566395, 6.6691407476750175, 6.66966412248507, 6.670160150048879, 6.683157134270585, 6.6844532476619785, 6.687888568758164, 6.696876340751507, 6.699957647784454, 6.703163795594262, 6.704032698165213, 6.7049529626716105, 6.71452970216695, 6.714745369534962, 6.71783972304046, 6.717889628513581, 6.719365882550912, 6.719941905116783, 6.7213696648818075, 6.726619575469052, 6.727337019135531, 6.737275640257753, 6.739681824013074, 6.740422143563281, 6.742416000298101, 6.743101523274374, 6.743343827395488, 6.754080944248948, 6.754245583357536, 6.75738056996387, 6.758763662953835, 6.765341948571308, 6.771291200389061, 6.778008620067546, 6.80035736854138, 6.808017671631525, 6.811943482820573, 6.825213792125034, 6.82588107221653, 6.8260947419981255, 6.826486879962306, 6.835130021543114, 6.83746363873078, 6.837662228177971, 6.838055843522354, 6.838814367343489, 6.841021444999723, 6.848516331230351, 6.85153506779306, 6.855190305853975, 6.856152773317282, 6.856848082686585, 6.865660706764071, 6.866140514067291, 6.868269573774143, 6.869478779461737, 6.879144748011789, 6.880792862372036, 6.8815158727671815, 6.882659355314975, 6.8880646116161595, 6.896159132641543, 6.898078174649709, 6.898567824389772, 6.9007339695361365, 6.903238410315382, 6.903445659079596, 6.906440807914911, 6.909618064117558, 6.912318117981963, 6.912947061299241, 6.914960592176081, 6.9151838109879495, 6.916396094710737, 6.92971585160743, 6.9310057405384535, 6.933575049287424, 6.934782017008004, 6.935845857977625, 6.936146457845036, 6.941060345834049, 6.9460982753336555, 6.948574476212875, 6.954022731102771, 6.955667729238422, 6.959256837089391, 6.962649279859797, 6.963928330790456, 6.968315127947666, 6.96957330676823, 6.970834841624816, 6.970837634292919, 6.972711487207656, 6.97295968353698, 6.973948603473101, 6.979393024440497, 6.981683549864142, 6.984847515019379, 6.985290378656182, 6.98939117680959, 6.989631756163086, 6.9961660732872, 7.002189289467569, 7.002316635045904, 7.005508292455187, 7.006939025099235, 7.007750274000838, 7.012037365487035, 7.016010253481041, 7.018310009733364, 7.018382012120454, 7.019902295809625, 7.020080260904496, 7.0226226243945575, 7.0227894299608415, 7.026430213569961, 7.028995233873209, 7.029297450387725, 7.031001673383083, 7.033068524097147, 7.037043404115409, 7.0389607119022415, 7.039076115314842, 7.0397210156220495, 7.0401339013599555, 7.044690978731661, 7.0448946258923435, 7.045953932476601, 7.04841803345476, 7.048813759924337, 7.04929411403314, 7.051563685325236, 7.0517773574498355, 7.053749474703357, 7.054397398920081, 7.05471993407778, 7.0548240267157, 7.057350327583364, 7.058348598341446, 7.05920212470289, 7.06168605962868, 7.061916028463083, 7.06325234329264, 7.06367683399159, 7.064353607681633, 7.064860065844354, 7.065891874831108, 7.066201872499713, 7.068766038636556, 7.070858820431461, 7.070910160320105, 7.072334324369945, 7.073447469042656, 7.0757323018026455, 7.078535099262112, 7.078953204957051, 7.079098553432719, 7.0795530575354135, 7.080480110690952, 7.081467379179238, 7.08212962437423, 7.082589491890367, 7.08325359050376, 7.083918881879867, 7.084580283240847, 7.087304632585964, 7.087573119089462, 7.088516395027078, 7.089657349426126, 7.090098578046279, 7.092139757487152, 7.093182076584727, 7.09380338709915, 7.094201045228822, 7.094843961908444, 7.096737517152147, 7.0977899383528005, 7.097936683037895, 7.098295255303818, 7.098634180249292, 7.100620872308482, 7.101891343123132, 7.102774499714624, 7.103296125512904, 7.1051480238379, 7.106574400306234, 7.106616045037644, 7.107826802740346, 7.1080438343256915, 7.109009794609108, 7.109582233795564, 7.109593809754999, 7.111866280331789, 7.112139915512542, 7.112197592159595, 7.113154767117469, 7.114581743874456, 7.115333667637664, 7.116323990220926, 7.11640002995045, 7.117350424370203, 7.119566709821391, 7.119566974700644, 7.119945391315278, 7.120071503574988, 7.120915267984947, 7.121398616352925, 7.122546211920662, 7.12265445888962, 7.123602909645257, 7.124161682275517, 7.125765155723391, 7.126359169132781, 7.12778195963649, 7.128426911163944, 7.128576461742149, 7.129754699765571, 7.130690563158394, 7.135476763545238, 7.135532398441063, 7.135961285564325, 7.13686621548835, 7.138358774105559, 7.140249647216911, 7.14575585237034, 7.147398109025792, 7.14741590106002, 7.148534238613637, 7.148746534832554, 7.150556883052151, 7.151420281775357, 7.152041943606199, 7.155826418497745, 7.157590258076797, 7.161750407033693, 7.162314301323622, 7.16271962499108, 7.162821671263055, 7.164346692647084, 7.165156896597333, 7.166301942861455, 7.167444704702619, 7.167488712183861, 7.1694460096692385, 7.170912283411442, 7.172078611897084, 7.173426655836399, 7.1745497910235745, 7.175648886224492, 7.176261378735416, 7.1774636710163575, 7.17777341176075, 7.179262852836913, 7.1793583537003745, 7.179367562792339, 7.179801403267841, 7.17988054054025, 7.181637620192563, 7.182302762383421, 7.183952841495126, 7.184129926222616, 7.1842991216916054, 7.185955891929359, 7.186160460095672, 7.186589587958931, 7.188497621518333, 7.188512657394213, 7.189318369320218, 7.189891196418624, 7.19017045535729, 7.190827941550117, 7.192407093191871, 7.194351461565732, 7.194667833950855, 7.194915876945271, 7.196081914566637, 7.197309400875423, 7.197899783753107, 7.1989878431100225, 7.199603652908078, 7.200069384540792, 7.200788726317626, 7.202283876635028, 7.2035147955667815, 7.203877678872228, 7.205383122825006, 7.20660561668789, 7.207065065443528, 7.207170628637257, 7.207277101888008, 7.207396907055035, 7.208171216797286, 7.208810416702785, 7.20914660112336, 7.209286665280108, 7.21009939037836, 7.210489233928088, 7.210760464057962, 7.211366801064294, 7.21148631126646, 7.211496426121092, 7.211928263784988, 7.213079577639821, 7.213225364401058, 7.21339068489011, 7.2142327861533255, 7.214397343987581, 7.215478073366799, 7.216382164702489, 7.2167710429067276, 7.217525153416428, 7.2183219886271806, 7.218743821948022, 7.218900480530838, 7.219313964950364, 7.219896777848336, 7.220229589552138, 7.22062563984347, 7.221099639944097, 7.2212544499895905, 7.222627514136629, 7.223675041719468, 7.2249132712783615, 7.224970895442389, 7.22543309997256, 7.226540457385235, 7.2277604809704235, 7.228450056992766, 7.228784653875328, 7.228830747585933, 7.2295916833857845, 7.231262119342583, 7.231302179713998, 7.231345095125577, 7.23144566443143, 7.232250738078737, 7.232846708659555, 7.232891605355737, 7.233231994483323, 7.233708121750048, 7.235014995459929, 7.2354063490666025, 7.235938580541195, 7.236066006995666, 7.236380288224543, 7.2364838964594, 7.237350418893467, 7.23735654488398, 7.237518626389437, 7.238782786034268, 7.238821748740485, 7.239274255035645, 7.241069373913997, 7.2411001405698014, 7.242236438553468, 7.242489493189964, 7.24339903300792, 7.244286552793376, 7.244363418430959, 7.2445210876517026, 7.244785318469471, 7.245041500866806, 7.245102851829349, 7.246746993679337, 7.247603382627667, 7.247752243941611, 7.247896931194646, 7.2482281720874155, 7.248602073117111, 7.248835614681995, 7.249217008641018, 7.249343402932296, 7.249361529847608, 7.249772911903312, 7.250701990505395, 7.251258922492496, 7.2516024951845655, 7.252442604073688, 7.2525115600434615, 7.25352348434068, 7.253937790173928, 7.254222623587214, 7.254578434377648, 7.255726603796372, 7.2557574020116515, 7.256468642855341, 7.256625018088927, 7.257040456197617, 7.257806381794312, 7.25875607330729, 7.2589135300457075, 7.258928792796408, 7.259588250317129, 7.2596231407871255, 7.259636903047342, 7.2597529812787585, 7.260857399248679, 7.260890678473717, 7.261023707980779, 7.261639206651847, 7.262506359577229, 7.262589049669063, 7.264296368615819, 7.264378278905856, 7.266723560639445, 7.266729093674004, 7.267931554023265, 7.268328564499723, 7.26859601778218, 7.269214984490615, 7.269557156004107, 7.269629792058478, 7.270075131283626, 7.270751142146163, 7.271157652158207, 7.2711836787130055, 7.272248940981545, 7.27257619476331, 7.272921796886126, 7.273246007281767, 7.274295725067367, 7.27620226308053, 7.2762270357213765, 7.276976067710462, 7.277919874924608, 7.278058250508793, 7.27886550848565, 7.2789379545127195, 7.27962139561576, 7.279987122356755, 7.281375539560378, 7.281884257846622, 7.284857512861008, 7.2849094545401485, 7.2849743945737915, 7.2851045159431065, 7.28568869603449, 7.287259606884139, 7.287931779828312, 7.290839041181083, 7.2908471456268575, 7.292431943169194, 7.293942852091999, 7.294320025386982, 7.296009692719233, 7.296363851160232, 7.297103370547699, 7.298587168676618, 7.2990154153608175, 7.299335613952497, 7.3012384276212146, 7.302228820716302, 7.3034025966897484, 7.304861969615176, 7.304894485062717, 7.306618933222797, 7.306686975454592, 7.307150750694442, 7.311129053081223, 7.312181097707562, 7.313069083446762, 7.313436504674754, 7.3139658390405184, 7.314458332269276, 7.3149129504887105, 7.315166645715344, 7.315280763601755, 7.317175902247875, 7.317341688603775, 7.3191965750247885, 7.3194990241279125, 7.319992413258839, 7.320824323590485, 7.3216646778461305, 7.322771144894226, 7.323050128391321, 7.323669860958526, 7.324762000914976, 7.3255072651409145, 7.3255540424791015, 7.3260980930835835, 7.329319119858814, 7.329753038269629, 7.331373434563315, 7.3315908794123255, 7.332503112443523, 7.332995377588941, 7.333268778429026, 7.333495693096544, 7.333642056461799, 7.333992818979169, 7.335922631596232, 7.3380162368620345, 7.338097202906515, 7.338238692379428, 7.33915428080158, 7.339927475522944, 7.339951791747458, 7.340235688561767, 7.3431775410042945, 7.344443272161823, 7.346112758731571, 7.346279980184506, 7.347050904248849, 7.347449999360264, 7.347944630379453, 7.349591673537395, 7.349670088629667, 7.35008029029709, 7.350384305989105, 7.350610588647964, 7.350787120961618, 7.351073614417753, 7.35235948473765, 7.353502418119941, 7.355184326998813, 7.355231908299193, 7.355577485444551, 7.356605041915277, 7.356703851976295, 7.357548291488572, 7.357685253102513, 7.360217037952773, 7.360534419157819, 7.361130515263387, 7.3620552781180395, 7.362238194734234, 7.362360810789447, 7.362747142142539, 7.367320549776506, 7.372530003412111, 7.376350424087881, 7.37653375204739, 7.37862298326377, 7.382158800219602, 7.383863991445239, 7.387262542352484, 7.387344821289103, 7.3880650893773705, 7.397725424869166, 7.3978584900147375, 7.398303806846796, 7.398820931163618, 7.400810054579361, 7.403882574238054, 7.405941270800593]