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

eigenvalues = [-3.8224631793148944e-15, 0.007186033201274227, 0.01120607967588299, 0.01873604752526379, 0.028632343895081448, 0.028972035435376242, 0.03534497549423143, 0.03650551824066398, 0.03963070116533703, 0.04429764047511441, 0.052551106061592835, 0.05310608677222846, 0.053134725405700224, 0.05408377186203232, 0.0665018422803958, 0.0683865215701601, 0.07236378858363414, 0.08643727692774629, 0.08767244612082759, 0.08842996710391997, 0.08892550302015802, 0.09118446854514363, 0.10311321496571864, 0.10331110989115995, 0.10849143101432862, 0.11394391375890911, 0.11759258231668028, 0.11869066378344648, 0.12196401881940787, 0.12448083049022941, 0.12495459872774949, 0.13091145109296898, 0.13100467319704173, 0.15155613736829804, 0.15190456090824564, 0.1544614974145022, 0.15527548537392724, 0.15534732309240723, 0.1605957706277883, 0.16541905178448893, 0.1703091740423104, 0.17079139933189383, 0.17144550452017726, 0.17145143579117572, 0.17198874017129587, 0.1937070832988281, 0.19521353070296454, 0.2041537940498991, 0.2074801151879239, 0.20782778217053335, 0.21755005877342887, 0.21757288400251515, 0.2204518102467926, 0.22459100574031218, 0.23590713199651975, 0.2377497092277433, 0.23887315866780914, 0.23962201289579937, 0.24856735966020627, 0.25060505977239006, 0.25308357117317676, 0.2558981175800149, 0.25743947325533934, 0.26122973965562685, 0.26254328507048164, 0.26327695132932305, 0.267494332207901, 0.27325910726781216, 0.2742424226028784, 0.2844123178614466, 0.2858899470158448, 0.28596608168126164, 0.29040356470248213, 0.2927246079856587, 0.3002412077393418, 0.3008113408913765, 0.3074869691156052, 0.3109573092935255, 0.3144823751779978, 0.31737821225696433, 0.3176142914567867, 0.31887787701610915, 0.3238874764468255, 0.32573320513576015, 0.3325413029712157, 0.3356882300069771, 0.33822525286493554, 0.3415234322533641, 0.3486356253809676, 0.35196536594749167, 0.3531824221587703, 0.35433148166431655, 0.35718293218646346, 0.35744964550148717, 0.3587621621282873, 0.36150120987678014, 0.3669169617486748, 0.3675829461336918, 0.36793909634337685, 0.37346489383222664, 0.3741372526014039, 0.3775389530201225, 0.3786724051150738, 0.3839383402800012, 0.38847639657588695, 0.3888975993551261, 0.39163611265744286, 0.3984378994688538, 0.39974884027460716, 0.4063199299931482, 0.41103968170025973, 0.41161291183714155, 0.4128338420129927, 0.4205589709183834, 0.4217128506854517, 0.4219247976413141, 0.42459812648941964, 0.42477594735144375, 0.42963541007108563, 0.43188086345273513, 0.4328131941382088, 0.43303356843834223, 0.43369930555936326, 0.43681968641241276, 0.43791904591778735, 0.43843917651447073, 0.4395774804587518, 0.4406200237654222, 0.4407354252613559, 0.44097547709212453, 0.4410217809659827, 0.4433453855875514, 0.44388552889356986, 0.45241798524065574, 0.4558764831863692, 0.45803287738237536, 0.4659161296097277, 0.46680340848320867, 0.4702701923424637, 0.47378084369250884, 0.49786540040676613, 0.4994090514792774, 0.5010773325047027, 0.5103703000862142, 0.5118215159054403, 0.5120049578217657, 0.5180969087839653, 0.5212104724327689, 0.5212371195495645, 0.5295939002955621, 0.5319890213382659, 0.5336120803222673, 0.5346692971070952, 0.5360713676502378, 0.5366402570610219, 0.5429307328427496, 0.5580465359753416, 0.5589426944603217, 0.5611049071042323, 0.5615097774263531, 0.5657045364177918, 0.5688197213368587, 0.5697811691055001, 0.5699339449607476, 0.5734864029608662, 0.5755262088461764, 0.5896470172064797, 0.5912329981543851, 0.5944435548254459, 0.5962752077826388, 0.5973994423229084, 0.5987959589151078, 0.5995205756428602, 0.6032247265393045, 0.6084563425574784, 0.6123757975624228, 0.619278879853367, 0.6193117481289122, 0.6233227699432194, 0.6236768621633529, 0.629920548133406, 0.6301044922915426, 0.6318902763518746, 0.6358207123285361, 0.6362235511325296, 0.6384719293961334, 0.6397063856958383, 0.6499238328428899, 0.6511294691680116, 0.6523914758062442, 0.6535093978126252, 0.6584375526621158, 0.6715752435084291, 0.6721529055414274, 0.6752074824913037, 0.6754370706512713, 0.6759532887985155, 0.6770362973947845, 0.6776702416101376, 0.687384626022024, 0.6874420776560919, 0.6902982786062981, 0.6925851729820531, 0.6973235830762491, 0.7039948411362164, 0.7063943240562304, 0.706542851448262, 0.7097095299143434, 0.711276925922743, 0.7129143958649898, 0.717864957894379, 0.7226636873181852, 0.7235033487986935, 0.7274579271506154, 0.7286246838383685, 0.7298952146556699, 0.7335227107298883, 0.7401410874927655, 0.7405609792180834, 0.7424012226302931, 0.7425259771637197, 0.7431831869534377, 0.7473786063663721, 0.7523901865564376, 0.7532289960346855, 0.7535535457528476, 0.7547934636297148, 0.7587998424686194, 0.7603320992826285, 0.7608797912658519, 0.7697064512055863, 0.7714783754177187, 0.773535646460883, 0.775360948254071, 0.7756627241441396, 0.7761671736566373, 0.7766201381644011, 0.781110968051776, 0.7829522508299958, 0.783507432240689, 0.7896968717621188, 0.7907255333041731, 0.792778097737197, 0.8044198029132535, 0.8060682334202922, 0.8094241802675819, 0.8110414302833362, 0.8148856189545488, 0.817018350550537, 0.8243778049417059, 0.8260787651832632, 0.8268012133456314, 0.8284926714782879, 0.8335351219016109, 0.8381936336676127, 0.8397939912842896, 0.8399382862701407, 0.8425025031506002, 0.8432665293444828, 0.8503355993954639, 0.8511583113099802, 0.8570773925587681, 0.8602781421305737, 0.8676430275842434, 0.8773197303845974, 0.8776398279406245, 0.8799068881275636, 0.8804588571992297, 0.8809719575352972, 0.8852948535794897, 0.886199287743085, 0.8872253798088879, 0.8914271711511732, 0.8929563723014002, 0.8952253675167083, 0.9005395614705254, 0.9005499137469322, 0.9057144408918522, 0.907280710198557, 0.9134381623160208, 0.9214175281797459, 0.9235304604878838, 0.924360922922989, 0.928209268881708, 0.9330016756351037, 0.9371025795358052, 0.9375118893075681, 0.93781607714001, 0.9385519671723221, 0.9389694542041265, 0.9389841934571231, 0.9422612594815204, 0.942365656135197, 0.9439501279008631, 0.9455820994520492, 0.9487630656496404, 0.9514907853100192, 0.9521154294909057, 0.9557964264082093, 0.956339277702782, 0.958696521616572, 0.9596055154594545, 0.962734271504056, 0.9663217914637855, 0.9668143919570586, 0.9691346461583181, 0.9691741568938458, 0.9748515378224325, 0.9779264290976851, 0.9804266843218775, 0.9837137375784107, 0.9843078075205741, 0.988092319771034, 0.9884914692712913, 0.9954501561824348, 0.9981381719035077, 1.0001477591477839, 1.001210629671873, 1.0028185192008332, 1.005615115953007, 1.0098582803285718, 1.0128916489261535, 1.0173780255880482, 1.024653112655851, 1.031354359791888, 1.0314192401444808, 1.03446996588211, 1.037081103771841, 1.0419281190964247, 1.0433156937597428, 1.046203418959176, 1.0521444304567495, 1.0535668440532988, 1.0603502559347944, 1.0614569042195863, 1.0617102443055548, 1.0627992287688084, 1.0660413738351713, 1.0661204777152795, 1.071248649155792, 1.0734187356269964, 1.074653256214609, 1.0786821264424036, 1.0788576903332736, 1.0789662429355722, 1.0879427923253184, 1.0918577456240186, 1.0976011592478185, 1.1024367324538944, 1.105305798084815, 1.106307227938135, 1.1089967571769912, 1.10957922935419, 1.111879074923647, 1.1152300809559805, 1.1158918389736485, 1.1198913577647118, 1.1216902230833177, 1.127637880909809, 1.133138201919137, 1.1336087471214875, 1.1424133404725407, 1.142664363900463, 1.149909013715239, 1.1504411225737319, 1.15075880960826, 1.1515126216568663, 1.1540941377247054, 1.1573862672955604, 1.1655139431249992, 1.16758472701779, 1.1687710916882172, 1.1692158604883718, 1.1743909714323206, 1.1760195594561795, 1.1790046314903884, 1.1863947535058164, 1.1870651386693658, 1.1877268590243928, 1.1899815607968078, 1.1922451182447056, 1.1951880639137427, 1.1955982266151597, 1.2001542742057958, 1.2075468221251024, 1.2124556090678267, 1.2126454209594577, 1.2181567845838828, 1.2183722427056927, 1.2198480702545298, 1.2202722309957952, 1.2279475124733195, 1.2376157415528475, 1.2416644561710803, 1.2435684856055413, 1.244172845096054, 1.2525661969177715, 1.2549395664767757, 1.2550239497238667, 1.2571353627221804, 1.2580440661397803, 1.2584683649515338, 1.2686566337573075, 1.269818451164407, 1.2710259015838432, 1.2729551759453903, 1.2733869838800105, 1.2770104904808517, 1.2803823987933125, 1.280386473884505, 1.282261898811888, 1.2890494812164532, 1.2936755412840428, 1.2967412292893499, 1.2984078005332058, 1.3000998501926146, 1.303617001307423, 1.304631370497684, 1.3066307992921873, 1.3106557805735508, 1.3157516687047053, 1.315875845594099, 1.320941501727999, 1.3262705157001171, 1.3291325174191069, 1.3314501005331698, 1.340034015321663, 1.3443381748521033, 1.3467619491302, 1.3487959566205985, 1.351509555082906, 1.3518851559345302, 1.3533646505091503, 1.3565468918715515, 1.3572321167562784, 1.3644574422799909, 1.3644805174444448, 1.36871201729841, 1.3693654531598372, 1.370768425153173, 1.38038553840821, 1.3822650765882296, 1.3846230844382956, 1.3937840816726885, 1.3978749521808496, 1.3982453629819742, 1.3989119384955468, 1.4018860066587255, 1.4034154164825972, 1.4046961606144752, 1.4061240667441084, 1.4079157659648627, 1.4081907153027067, 1.4110166008546001, 1.4114693371047142, 1.4149942402308209, 1.4161635855440047, 1.4174901509815276, 1.4241040956961173, 1.4258365226779295, 1.4262204850312241, 1.4305930529181714, 1.4318781157546419, 1.4377706027518316, 1.4405487643048966, 1.443132921813469, 1.4433798338981436, 1.4434787656685457, 1.4441225273030143, 1.4463857905827207, 1.4497511462741854, 1.4512049273392942, 1.455351292327867, 1.4557630414831209, 1.461219298361752, 1.4628275267789272, 1.4634961631507124, 1.4635074607733876, 1.4644377787806697, 1.4678705679596427, 1.4762368155630923, 1.4771550060258367, 1.477693066805106, 1.4824572312356468, 1.4835411302348547, 1.4897985521210184, 1.4953738480159446, 1.4964384553554573, 1.4983881195509896, 1.4998402243996236, 1.499872758904488, 1.5001887934190405, 1.5036201422814974, 1.50451778505183, 1.506335435774822, 1.5072913517007387, 1.5078461075938274, 1.508995528336436, 1.5090900337106465, 1.5110263319537818, 1.5142931456849311, 1.517862739161863, 1.5181980942024254, 1.5186251257624308, 1.5196280911239324, 1.5198391551993409, 1.5258285371607185, 1.5283108714945604, 1.5290662489140898, 1.5298107199127984, 1.5314449064316609, 1.540870898717815, 1.5418269446118822, 1.542454166904892, 1.5449577123019973, 1.5456904401668143, 1.5478685793641793, 1.5499912844071877, 1.551005540383161, 1.5532952264111213, 1.554443109631894, 1.5559224558407816, 1.5569753986567603, 1.560163734770882, 1.5605056478689094, 1.5644370608956266, 1.5686743239681724, 1.5692227381796438, 1.5700641518264973, 1.5701776311137154, 1.5732995466023834, 1.5790312418262644, 1.57983011322815, 1.5820324446653198, 1.5829212290384465, 1.5864150400277488, 1.5881689055373762, 1.5893469432893013, 1.5904153377415062, 1.590718894182424, 1.5997454432708125, 1.6000548309253446, 1.6074561778045215, 1.608443168150269, 1.6109108290181704, 1.613022827659178, 1.6174540231659396, 1.6181801468837838, 1.6202223629297263, 1.6202758146359726, 1.6205582267155065, 1.6224115460740425, 1.6255372243165511, 1.6292888417787597, 1.6305515093146714, 1.6307625665561987, 1.633134818414019, 1.6373491948355205, 1.6383713567261906, 1.6388932493267063, 1.6406485757956115, 1.6425219789487016, 1.6428185285648826, 1.6501671227692083, 1.6512101639505175, 1.652796268253585, 1.6550077242015357, 1.6577854652500967, 1.6600277241092805, 1.6647469015825203, 1.6682134043540964, 1.6689596716193433, 1.6731186010886716, 1.6774034974942342, 1.6779723961906146, 1.6799752375401773, 1.6852751487835478, 1.6853143121625611, 1.6855672001498645, 1.685660878235784, 1.6870428865051683, 1.693283751832467, 1.6934251743905933, 1.6939916183099606, 1.6989353800915974, 1.701333479033693, 1.702575606637782, 1.70282578989743, 1.7036512569244229, 1.703935232488212, 1.7078928417191064, 1.7113112868694704, 1.7124404897948062, 1.7153250418723744, 1.7190637172617187, 1.7203052751510046, 1.7215471150192438, 1.7224152029977184, 1.7229675613321545, 1.725430345628279, 1.728900367057101, 1.7291804717368748, 1.729385116160118, 1.7342863939522484, 1.734972181167973, 1.7352377030331776, 1.7399465956495535, 1.740618784804936, 1.7430901491741226, 1.743514500464259, 1.7465054339902044, 1.7476043997207071, 1.7495009670646882, 1.7502231718175212, 1.7525399284954875, 1.7550161233930188, 1.7564599516273631, 1.7596429047426752, 1.7633670841579374, 1.7635581788652284, 1.7656260052160424, 1.7659377354286698, 1.7691852123771123, 1.7704264281512516, 1.7705855730448596, 1.771198842693223, 1.7736291433019908, 1.778762381145222, 1.7812406072263873, 1.7835090882851816, 1.7861840717582143, 1.7865182173600944, 1.7871943827730912, 1.7913771552353515, 1.7915216731933667, 1.7917542148849885, 1.7926317098576052, 1.7929843624343174, 1.7930612400925618, 1.7944754270327106, 1.7957730350546395, 1.7997018794148811, 1.8016846979876182, 1.803082924430757, 1.8045702160789265, 1.806459077961699, 1.809443702055591, 1.814005408108435, 1.8192833366648584, 1.822424043107255, 1.8232521892150497, 1.8246291513668278, 1.8264865213309711, 1.8274398828577314, 1.829283018364445, 1.8297084566081616, 1.8321561409472351, 1.8390534524116353, 1.8411156145430883, 1.8419543514674261, 1.8443172676279485, 1.844759333879443, 1.8467246240100632, 1.847063714892165, 1.8483545046028311, 1.8489968137727668, 1.84979861527964, 1.8504584734473077, 1.8527861941525599, 1.855144018660599, 1.8579176460371432, 1.8592553013762358, 1.8592603609295761, 1.8617819643182207, 1.8671805590739146, 1.8675911814630255, 1.8681715017254357, 1.8690734968281892, 1.8710438643950669, 1.8746244669222767, 1.8758338109250938, 1.8765416007924065, 1.8796309920339183, 1.8802989106572057, 1.8826359404121058, 1.8849775525888752, 1.8862349694973226, 1.8878647124827534, 1.8884942881495628, 1.89127832235047, 1.8929418301151337, 1.8934434044155064, 1.8945423315378502, 1.8992124954575582, 1.899520897978659, 1.8996678482992084, 1.8998662156392352, 1.9007445850974325, 1.903019147249002, 1.9073332629644322, 1.9127957061455423, 1.9148560680878013, 1.916398158818368, 1.9169315477035835, 1.9176697763377253, 1.9184030709169837, 1.9190549024165622, 1.9192963075758112, 1.9231261518137917, 1.9254732497658793, 1.9288310350320197, 1.9310099064185149, 1.9322329871736124, 1.933785224140451, 1.9340628855248485, 1.940021251813508, 1.940044351101225, 1.9417565482009633, 1.9433787831919576, 1.9445912212366947, 1.9488623203150377, 1.950673262942303, 1.951274091235902, 1.953314275194841, 1.9551859131692515, 1.9552455722056532, 1.9559460301583775, 1.9591424987023338, 1.9596813558099064, 1.96196579272767, 1.962193343844352, 1.964350078595621, 1.9648368293046565, 1.9654690014171745, 1.9663877422520981, 1.9702039102805216, 1.970502414727937, 1.9717302918592223, 1.9726734429429253, 1.9741798245291167, 1.9742753060625873, 1.9765140035321223, 1.9765170771158653, 1.977611874968272, 1.9804342625473486, 1.9828598973381841, 1.9868550069958428, 1.9869230717052702, 1.9875226418863745, 1.987738499940811, 1.9879277520576788, 1.9919574496380847, 1.9941908637070038, 1.9954743462122073, 1.9963666554260107, 1.9963714809222373, 1.9999019969489196, 2.000000000000003, 2.0001121939832562, 2.003285165243248, 2.003660954855895, 2.0053421669837648, 2.0053672824206745, 2.0081663045471054, 2.0091355790978223, 2.009737769689204, 2.010335044977684, 2.0106184424998252, 2.0123400964326406, 2.0128655270228557, 2.0144436356830346, 2.014866489875451, 2.0152552133188975, 2.0153075532207985, 2.0169494061209665, 2.017992256217022, 2.0189589738085427, 2.0193759466002765, 2.020300052077744, 2.0205957345142966, 2.020780640598113, 2.0222175350945806, 2.022655389612395, 2.022718018716212, 2.0243077004141523, 2.0262959298350696, 2.026697798356063, 2.0271147297648184, 2.027968574182628, 2.0288348845146933, 2.028919710517016, 2.030052730851591, 2.031129847780194, 2.031490265329424, 2.032239555170617, 2.032247920111349, 2.0347602840785095, 2.0348955054154367, 2.0349318798341067, 2.035058295841367, 2.03724008906601, 2.0380330706746483, 2.0384879562446576, 2.0391850911898706, 2.040679212587942, 2.041151594702076, 2.041697748362083, 2.042209146248358, 2.0429050711712238, 2.043833398404463, 2.0439980422886133, 2.0440889801848776, 2.0443338782834233, 2.0447529640582442, 2.0448157767769093, 2.0450301162325237, 2.046222164819404, 2.047066239396356, 2.048314449203754, 2.0484648301142934, 2.048820972589307, 2.048937906206595, 2.0504576829338688, 2.050762342009355, 2.0522314072529833, 2.0533231799517044, 2.05354042600751, 2.0535899568643603, 2.0558322808595686, 2.055919707505996, 2.056842972942135, 2.0573139067671073, 2.0585961079693273, 2.059423824977813, 2.0600336977896285, 2.061001983115722, 2.0610961943066246, 2.0623358750566805, 2.062742854076885, 2.0633349792096656, 2.063597259831249, 2.064085873201777, 2.065447926444203, 2.0667404123070647, 2.0687371458023733, 2.0722814663408973, 2.0723096077203165, 2.072632412916073, 2.073262437684416, 2.0740845880170866, 2.075645058095075, 2.0756939075484424, 2.076431984260542, 2.0765657485645552, 2.0778320032364155, 2.0781358982352742, 2.0784815689911786, 2.0786814261656237, 2.080038259773003, 2.0834184772011506, 2.0860649340209405, 2.0888008365866377, 2.08946056616742, 2.089846756270205, 2.0907623521584084, 2.091783592944062, 2.0926386318036716, 2.0929641627133053, 2.0930517455995883, 2.0933625256609707, 2.095118960943722, 2.0957475155669476, 2.09615872867437, 2.096247075490401, 2.097268916284336, 2.097356393120044, 2.0984092040819236, 2.0992766014553736, 2.10005190559257, 2.10430785268729, 2.106297393486331, 2.1071479576999113, 2.1080180267093147, 2.1088700126453226, 2.1107957625942166, 2.1108919355388696, 2.112782516683598, 2.1143180824535897, 2.1143390079006483, 2.1151067138481205, 2.116218441125293, 2.1174503438231946, 2.1180132734282378, 2.1200360156972127, 2.1236006458204915, 2.123966525592787, 2.124766590466364, 2.1259703027728656, 2.128689860672113, 2.128712028757888, 2.129792107494121, 2.1304874174554387, 2.130672135770433, 2.131439339110258, 2.132200523080708, 2.1328146181913152, 2.1333507954312942, 2.134022898558419, 2.1402818404152564, 2.1406648220166113, 2.1423487839272743, 2.1426302226314133, 2.1426463374487064, 2.1431621532837997, 2.145701346473776, 2.1469743539584125, 2.149497212158463, 2.1507824456583666, 2.15237475718735, 2.1530567699449383, 2.1544489751916176, 2.156390569328365, 2.1583260153641874, 2.1597826573011565, 2.1621499510968087, 2.165340867680503, 2.1667940297228014, 2.1669923624598417, 2.1689139886867514, 2.1698796110703475, 2.17247522578591, 2.173504839817057, 2.1737907875654585, 2.1748680271619816, 2.1764908738009967, 2.1786897982507973, 2.179651576891697, 2.1810176235759053, 2.181140285959008, 2.1822584304945627, 2.1824314172227046, 2.183744981501099, 2.1846953666243603, 2.184764861527371, 2.1857288334197076, 2.1884012538528186, 2.1889374300246875, 2.191872836520881, 2.1948753806470593, 2.1979725776700785, 2.1985807450607937, 2.202270239438424, 2.207040536915249, 2.2092598980358393, 2.2197664785878595, 2.2205951953393184, 2.2207369135154513, 2.2223083603657883, 2.2238307663442547, 2.226603692227928, 2.2312788631433556, 2.232806222481553, 2.236221067033196, 2.23712967000103, 2.2394143095566506, 2.2420820155616172, 2.244819825460502, 2.2488359383679186, 2.2503106237210644, 2.2519367730117423, 2.2549676500138847, 2.2553054846655227, 2.261665626342019, 2.264418156405471, 2.2646065088521867, 2.2679897604069557, 2.2692999738181463, 2.2706335114005975, 2.2723003221064078, 2.2747002763610764, 2.27633611002039, 2.2774491215192607, 2.2786156051920328, 2.2860829378942986, 2.287110869766562, 2.2872068514662494, 2.2908652095172704, 2.293498511885743, 2.2937409950698, 2.295819615121379, 2.302953799789777, 2.304759471950809, 2.3049287502273144, 2.308406760186501, 2.30981836690445, 2.313096926066294, 2.314592768043734, 2.3186077788956365, 2.324994608000986, 2.3274081543277583, 2.3286250795169763, 2.329335657130789, 2.3348253231728155, 2.33506958289698, 2.340907091003731, 2.3422435801442574, 2.347416832517021, 2.348354516977467, 2.3496216002417176, 2.350361310172073, 2.3537591832714906, 2.354589413808677, 2.3547213024492946, 2.3601264307143643, 2.3606186293407276, 2.3632624301696126, 2.3667461300208674, 2.367968357672548, 2.3682594246587882, 2.368733946481714, 2.3697685426982895, 2.370385907787923, 2.3720031839701776, 2.372592523097863, 2.3755727010174272, 2.3778234336421633, 2.382013942745629, 2.3845095834884544, 2.389534361170222, 2.3903570438109654, 2.3967223357192644, 2.3978462225168635, 2.398526423791768, 2.39999914858859, 2.4024580111150273, 2.408808224117288, 2.409230830321316, 2.410035070246493, 2.411743067713625, 2.411970388340674, 2.4271857125697203, 2.436218066636351, 2.4384138116705176, 2.442690392892062, 2.4448078998723126, 2.4470601857852046, 2.45206418228117, 2.461770571646608, 2.4673522287548155, 2.469154647084361, 2.472749165981682, 2.474954123350629, 2.475718067234588, 2.4773421395963653, 2.4889496519006133, 2.4918545984815266, 2.4943654926897127, 2.49564032505493, 2.503737931793309, 2.5089206532965296, 2.509568338708621, 2.5138858500350727, 2.5173171141027586, 2.5179512873600003, 2.5186982218501592, 2.5248982666894446, 2.527586888122518, 2.5384116013117626, 2.5388979991867027, 2.5390395723846293, 2.540344422421061, 2.5426028711682624, 2.543011668265769, 2.5462932178416726, 2.5497281345867457, 2.5574747052737785, 2.5582838768132836, 2.5618413836213323, 2.5618616336487077, 2.5660370393320155, 2.5667056821018877, 2.5697767298313003, 2.571262103945801, 2.571713970263564, 2.5772259298524736, 2.5784778055382276, 2.5833964157524454, 2.5893500395037754, 2.591018871049518, 2.592118073592348, 2.59952408545477, 2.605918599764988, 2.6064251214287144, 2.611406934640364, 2.615127275610499, 2.628939832453083, 2.6337976803221115, 2.640410889957266, 2.64497944732945, 2.647003923045028, 2.6551803216046856, 2.657938434865347, 2.6602601895034277, 2.66207451412806, 2.6696507302175103, 2.6701526740201897, 2.6730348587067, 2.67410179579239, 2.6745829009915085, 2.6784401521127243, 2.68535802092535, 2.6855367898090483, 2.6869638544963617, 2.6870757272348005, 2.6891257584461816, 2.6893439308842013, 2.690862803847728, 2.6914626404230666, 2.69657279079847, 2.6991116299802793, 2.7011960098052423, 2.7054546889355597, 2.7084341173130473, 2.7094025472671, 2.7135670477789944, 2.72302410868588, 2.725725407340845, 2.7258809235520647, 2.728525526054544, 2.7299707454057227, 2.730971780072595, 2.7321407698306683, 2.736248966597734, 2.737581472768797, 2.7376832138227893, 2.7393610078046846, 2.7415234790150578, 2.7434534480741886, 2.7478013401922694, 2.750687422603203, 2.7514701258314016, 2.7523675342980196, 2.754134653826514, 2.7555710571321774, 2.756299899677166, 2.7576686667446806, 2.7582822643663945, 2.7585365999665363, 2.7620325327203465, 2.7621131210093517, 2.7633655595507918, 2.76697201632444, 2.767395730976722, 2.7679486268989186, 2.7693348503444657, 2.770842787270314, 2.771957306649288, 2.77242371747088, 2.774007039278074, 2.7770485133829412, 2.7771772232630805, 2.7796182702276897, 2.7808090499019458, 2.783044725407183, 2.7832178846234887, 2.7841128493060854, 2.7843986495660973, 2.78616017609203, 2.787654037987241, 2.7884948589238556, 2.7899300695759943, 2.791379783172008, 2.792284418606309, 2.7927326969902504, 2.7960618349561113, 2.7974596281671364, 2.7993730922049056, 2.8001693244966495, 2.801294942568409, 2.802357238581063, 2.8034614437085748, 2.8041614700984225, 2.804292983706061, 2.807662099194121, 2.808403903722465, 2.8087972769078973, 2.8144045870536063, 2.816060555502809, 2.8204304459584812, 2.820615717567659, 2.822074268293358, 2.822831701243301, 2.8248528803040207, 2.8259718525551323, 2.826956188696736, 2.829509787337051, 2.8316182947065025, 2.8317783978799564, 2.8325186670584435, 2.8349178532533394, 2.8397335214555532, 2.840016576760892, 2.842392429710646, 2.8427123676361443, 2.8436923109052006, 2.844478255735919, 2.8470951311824786, 2.8490077671366887, 2.850740445002663, 2.85160445294217, 2.8524612502294375, 2.8525694219806, 2.855381532383323, 2.8566342056480183, 2.857650087484367, 2.859962659966554, 2.862979660324429, 2.864124721057884, 2.86816192947901, 2.8688172789981996, 2.8730490624017078, 2.8762266081488495, 2.8766490333071046, 2.879599886595773, 2.879737999067789, 2.882797561049363, 2.8829231160507787, 2.8845634233179616, 2.8846814309367876, 2.886978226526189, 2.888685329388607, 2.8887223230318315, 2.888788032940073, 2.8906627266795923, 2.8937134334651504, 2.896925273050207, 2.8978101262376437, 2.9008648681679547, 2.901758346095962, 2.901841669974405, 2.9025862880164808, 2.9046480605889746, 2.9079997223221765, 2.908052495355293, 2.9084468667355354, 2.9145019366682354, 2.9157402434399207, 2.9215277281214025, 2.9227619786825363, 2.9241006038142205, 2.925312806416771, 2.9290210119627735, 2.9332740631330436, 2.933396891615719, 2.9371720697920876, 2.9412387249471323, 2.941357194241074, 2.941647630368299, 2.943138803241728, 2.9465067379711347, 2.948036979168528, 2.949298739916995, 2.9512050443543267, 2.953258894700856, 2.953400600213209, 2.954932591196592, 2.956515324874096, 2.9569965740436106, 2.958212950709665, 2.9588842242523925, 2.962584587294936, 2.9631057912549115, 2.9635369946656462, 2.9649346184092717, 2.9669321667279274, 2.9669368483396115, 2.9675811043743647, 2.968587837354358, 2.9689734376663863, 2.969438571016476, 2.969677916293822, 2.9704907528288076, 2.973522634560031, 2.974836410154533, 2.974920250683175, 2.9762865884014817, 2.9782358875883683, 2.9786381902956323, 2.9795845698287087, 2.980273499699985, 2.9831729345851508, 2.9832278199953426, 2.984046338768637, 2.9846611219787755, 2.985655524078213, 2.9873534562036177, 2.9878977503689477, 2.9881924531861945, 2.9882724353614085, 2.9885386846755173, 2.9901309221973498, 2.990656871766996, 2.9907513056894772, 2.9915049522357364, 2.991549846684914, 2.9944307922961344, 2.99473999969131, 2.9952458669756896, 2.9961407194448073, 2.996510903732081, 2.9972528712393895, 2.998600647241208, 2.9996382634524545, 3.0009595105946927, 3.0011926929524413, 3.001616205045795, 3.0027424027962057, 3.0032930978363606, 3.004311571916085, 3.0053991083948777, 3.0062462072019636, 3.0092389472840115, 3.0098880789470703, 3.0103407628952943, 3.010910356677802, 3.0120434270015415, 3.0129469913476323, 3.0129590640252375, 3.013130130387954, 3.0135077358880165, 3.0150045829252363, 3.015517683722716, 3.0172951812190574, 3.0180327101849813, 3.020581062700386, 3.0231355025196405, 3.0238879568966284, 3.0246006426558734, 3.024611623552544, 3.0249779437859554, 3.0258203206199834, 3.027066639093041, 3.0279524294297273, 3.0284401518476654, 3.0301228243047977, 3.0304844013889114, 3.031650216508778, 3.0319430660149007, 3.0323680453870403, 3.0324855662756307, 3.032739336305078, 3.0345371580374882, 3.0357270770440676, 3.0372340020398423, 3.038503727421125, 3.038950678645265, 3.0418459110690996, 3.043354948510658, 3.0435856613948484, 3.0441768012924664, 3.0448624251500616, 3.0465841781122194, 3.0470577108332177, 3.047227671414635, 3.0481950921292538, 3.0522298009508892, 3.0528670218451484, 3.053241804210451, 3.053414352483822, 3.055055938599208, 3.055080390313328, 3.055446929962764, 3.0605935508854056, 3.0629633317116847, 3.0632628072472734, 3.065158868311545, 3.067152545812419, 3.0683295011490945, 3.07036503489074, 3.0705963250320005, 3.0714587217554508, 3.073510863347811, 3.0743031529427016, 3.075781617223053, 3.0766326293777877, 3.0775488099289707, 3.077944477525671, 3.0821904373938356, 3.0824246371522612, 3.082922329750404, 3.086316254444361, 3.087385781280782, 3.088084814284923, 3.088127204231366, 3.090443625336164, 3.090707447273887, 3.0915047545665146, 3.092622922124555, 3.096105677702619, 3.098686850357103, 3.0998481362087436, 3.100063976667742, 3.101223431016353, 3.102398193928572, 3.1045187389654783, 3.1050300799353887, 3.1055098607634712, 3.105554105098264, 3.1076394995310186, 3.1086219129587165, 3.110881246499479, 3.113979487857614, 3.1146888651007525, 3.1168137473126216, 3.1195725304047124, 3.1196216175805844, 3.1208807295956045, 3.1209314397600605, 3.1231162343593093, 3.1238752654316566, 3.1261404580058687, 3.1277064675904698, 3.1291278938268783, 3.1295895724184044, 3.130803706030678, 3.130822027601196, 3.1311808857445724, 3.1312353935172643, 3.131872899452743, 3.1330797927518725, 3.1360923491475154, 3.137778437673491, 3.137831153516159, 3.1390689606836717, 3.1398858304204356, 3.1435697625889274, 3.144927189417589, 3.148327425006622, 3.1486806061684725, 3.149591368024051, 3.1519399068380247, 3.152222513450027, 3.1538263012966494, 3.1546813368606115, 3.1551197744441164, 3.1553921612613234, 3.159562627827371, 3.1596904278089792, 3.16425437887361, 3.1648583967442327, 3.1678263361401044, 3.169489292820624, 3.170832931234682, 3.17087295958034, 3.17088031738602, 3.1714849049909706, 3.172674376007692, 3.1746894870856255, 3.177326241364771, 3.1775410895458562, 3.178362830083242, 3.178845672423652, 3.179099269241204, 3.179294476961181, 3.179300130886656, 3.179819516074262, 3.1816848995297757, 3.1822177086319687, 3.1826820207363347, 3.184463822468466, 3.186896748228431, 3.1873712648803045, 3.1879629091348574, 3.1899955631935404, 3.1903355870057575, 3.1922533965677102, 3.193266615147566, 3.1949108886919735, 3.1960088720277957, 3.196498708936692, 3.1968316321591703, 3.1982150969190557, 3.1988557750687425, 3.1998841313100863, 3.1999578408475378, 3.2001423975823697, 3.2010718871867456, 3.2023794751627794, 3.2023881619379084, 3.202908457808126, 3.2034318746714603, 3.203892299092284, 3.205620582065564, 3.2063037924013083, 3.2070751792080685, 3.2076766318030714, 3.2077375403068604, 3.2087328122423657, 3.210768494911639, 3.2124921173691177, 3.212720745736668, 3.213460235327794, 3.213808492784601, 3.215527191408213, 3.216716290230978, 3.2182637065273045, 3.219094573471653, 3.219292265680583, 3.2196847791051857, 3.2212515499629077, 3.221474215815824, 3.2217738340106794, 3.222419793796957, 3.2229798774486995, 3.2231769729817694, 3.2243006658712026, 3.224394785529277, 3.2258586550669244, 3.2260002546096036, 3.2272329241701128, 3.227857670769392, 3.227964480986697, 3.2295776926876485, 3.2304780097615255, 3.233583637218761, 3.2337645932183334, 3.2347724099412116, 3.234928972115256, 3.2350141269612283, 3.2356482035169054, 3.2361656227944664, 3.2369761611690158, 3.2376284945947513, 3.2378556352202486, 3.237886673254682, 3.238855115109783, 3.238913172557572, 3.2396937087235127, 3.24054589444007, 3.2419361319907343, 3.241990761176855, 3.2427976123950324, 3.244056027989694, 3.244663013210106, 3.246839799921828, 3.2471947459411883, 3.247537280526881, 3.248882612870188, 3.2494095275445924, 3.250331738573306, 3.252324904189922, 3.254385500455264, 3.2546482037364135, 3.2557762529483085, 3.2561036190061117, 3.256632686034401, 3.25719118782669, 3.259518579980465, 3.26002859467261, 3.2617111670497514, 3.26296518602203, 3.2641683160121793, 3.264948867787394, 3.2652856722897914, 3.2656231717056863, 3.2674200238880524, 3.270406456868317, 3.27448162964677, 3.2747965781861996, 3.276001432214924, 3.2768214156579423, 3.278476967573066, 3.278498230659012, 3.281860954532258, 3.283957589003179, 3.2869866544977677, 3.288845839329476, 3.289314832678385, 3.2899154811703366, 3.294652409566682, 3.2961113440370244, 3.2962122448098663, 3.2966210086690375, 3.297866395533184, 3.2985257759922537, 3.3009083815311726, 3.302236288690239, 3.302886668586477, 3.3046649521793325, 3.304736426227245, 3.3068916493783607, 3.308484191454762, 3.309092587353644, 3.3126349712830265, 3.3130708381205083, 3.3146885806023985, 3.315124031537079, 3.3170758345309412, 3.3174602260593664, 3.3178425312818565, 3.3183057854673614, 3.3195645096402315, 3.31980773302801, 3.320963545359816, 3.3231701994888976, 3.324233173651905, 3.3264155894201535, 3.3272335635028267, 3.327387919167821, 3.327846548303951, 3.328501853598943, 3.328655326421746, 3.329595048075189, 3.3305624322265572, 3.3307840903398804, 3.3311635552949035, 3.3337033044999584, 3.333725918056639, 3.334303866053956, 3.3351129503898345, 3.335746798959164, 3.3359140485437173, 3.337512568663634, 3.338522596623201, 3.3385319728201175, 3.339988637964822, 3.3408926245055617, 3.34105371336336, 3.3424157239476013, 3.3427126240724734, 3.3435253941834775, 3.343707866170621, 3.343769888014436, 3.345792343720605, 3.3461100800680805, 3.3487192659585188, 3.3490746303258203, 3.3492378342686497, 3.349524123633927, 3.351688440037953, 3.351984613425102, 3.35293314016287, 3.35305261449484, 3.353684524448407, 3.354369123379064, 3.354465066031642, 3.3552742192346217, 3.3554518067707395, 3.356655949663331, 3.357378661297841, 3.358051341548941, 3.359225255697165, 3.3595818459737745, 3.3604977532047013, 3.360862260097436, 3.362042007499386, 3.3629792970918873, 3.3635332225775967, 3.36406722737496, 3.3643883333830735, 3.3645673934310953, 3.3663474247001037, 3.3670936663862756, 3.367353091252641, 3.367663374295918, 3.368126507195447, 3.3696270620150894, 3.370551327843134, 3.3713210676732186, 3.3722426521425297, 3.372887069158304, 3.374332909021598, 3.3751880344203147, 3.376986734997713, 3.377288541059867, 3.3778144690532947, 3.3782555770768257, 3.378766195129249, 3.3791803899261064, 3.3795355279216195, 3.380849025906494, 3.38165546530775, 3.382521892969359, 3.3837573126880867, 3.384359458011124, 3.38734267563664, 3.387591682802352, 3.3882019604876836, 3.388662171717369, 3.3900495847400927, 3.3937753944742766, 3.395569695601813, 3.3956004431795446, 3.3967946013021986, 3.39802917385282, 3.398302466049807, 3.398708400493831, 3.4012149171384722, 3.401242636326601, 3.4019332163466425, 3.40271735879909, 3.402784150623421, 3.4043518364375336, 3.4045723706798157, 3.406512295408966, 3.4066943645580916, 3.4067587618501367, 3.4071076097927997, 3.4073671398245717, 3.410986751309585, 3.413793428144421, 3.414136394348271, 3.4143091020328677, 3.4193589234115938, 3.4195843306944314, 3.4196657457012876, 3.4200825789230542, 3.422336765629452, 3.422397920433529, 3.4239260598354773, 3.4240019041791623, 3.4250065372316367, 3.425619992738624, 3.42624182735651, 3.427300085514543, 3.429513008507769, 3.430300444820831, 3.4341258456912938, 3.4351181986978707, 3.435994485865585, 3.4368707374554406, 3.437069584874045, 3.438135206684586, 3.4381862314196256, 3.439354366081942, 3.441207383873394, 3.4417117998657796, 3.445564386065264, 3.446123841221194, 3.4487317891516347, 3.451429942629683, 3.454561250882258, 3.4546552340062235, 3.459807855863844, 3.4601229652079013, 3.4605576640138183, 3.464272609201785, 3.4648193287230877, 3.465320916950309, 3.4669778273037473, 3.467386274457173, 3.4713944541688613, 3.471481620830359, 3.476554436246956, 3.4789160106734536, 3.4798165863983384, 3.4818738034533694, 3.483463296723819, 3.4859305184283653, 3.4890621367338204, 3.493172379158026, 3.494927976364349, 3.4966628523642984, 3.497093250151482, 3.4990541050194555, 3.4999165653552073, 3.500301995784833, 3.500563891131146, 3.50190992086366, 3.5033708819954326, 3.504033658092107, 3.5041641257802962, 3.5054280352054925, 3.50697559960037, 3.5106839877274756, 3.5110265036129302, 3.5118347753210815, 3.5128262540343425, 3.515972606665168, 3.5171731056897895, 3.518689881824153, 3.5210867242553356, 3.522658313399773, 3.522945143589648, 3.5231646585348697, 3.5278405080165913, 3.5302550818996083, 3.5324489770204273, 3.5347674068218993, 3.5351966658326806, 3.53562501170318, 3.5388786310008107, 3.539686190101936, 3.539787631690398, 3.5400755370461208, 3.540235570042915, 3.5408811568232395, 3.542996110651068, 3.5454958531531573, 3.546304490172733, 3.547911239564854, 3.550447646842943, 3.552952168924075, 3.5530334881121988, 3.5545939807922005, 3.554972236371071, 3.5556401925241867, 3.5562010188721977, 3.5572894467905147, 3.558848586895357, 3.5598252775470423, 3.560229338784368, 3.562246292146937, 3.562251869183801, 3.5648977608548518, 3.5661652999412334, 3.567894976789941, 3.568432834452613, 3.5696140752833103, 3.5699772192648007, 3.5700169042649157, 3.5713144021058443, 3.5727033947017888, 3.5731923549242026, 3.5732295450201184, 3.574970400756655, 3.5764205648927905, 3.5781818473690055, 3.5783545164997954, 3.5795333321011777, 3.5812497971112314, 3.582782305553007, 3.5831631345704027, 3.5856186092908318, 3.5873648837601206, 3.5884565898060177, 3.5894737192039896, 3.5905745938751927, 3.5941412832565534, 3.5954871196062617, 3.596287478231392, 3.5971824566396524, 3.597534007927776, 3.600138091085782, 3.600370975541919, 3.600567008256853, 3.6006811133708028, 3.6085446758678645, 3.608686382955142, 3.6098523236909834, 3.6129137023843656, 3.614523068415723, 3.616489127580416, 3.617365098794805, 3.617938278755827, 3.6180572372203095, 3.6206286426814076, 3.6217963602608627, 3.6224551909905043, 3.6241733524092816, 3.627499728035577, 3.6285737214683245, 3.6292666787444983, 3.6294646757747344, 3.6301889906958724, 3.6307288777525613, 3.630747248116869, 3.6327161779308694, 3.6339336563625713, 3.634298320600452, 3.637021049450984, 3.6399643828258283, 3.640863587131663, 3.6428764852760778, 3.6444544642289554, 3.6459879093469563, 3.6468277406953935, 3.647596552644414, 3.647796435832537, 3.6484442543311046, 3.6500469534058975, 3.6509898510762, 3.6510239837100746, 3.654743074054511, 3.6550181915173847, 3.655858349939822, 3.656374423712975, 3.6571838838344197, 3.65793656512156, 3.658106918047905, 3.6591211231282226, 3.6613592655185654, 3.6615318070411664, 3.662088585835515, 3.6632651956199753, 3.663312327501369, 3.6645950966933616, 3.666328388189759, 3.6684802628322504, 3.669576485703644, 3.6698213265575053, 3.6717162275053, 3.6722638910476686, 3.6750076668643654, 3.675056693448527, 3.675552882233601, 3.676954858990985, 3.6790637425179304, 3.6793355118139948, 3.680483459151053, 3.6828942330832897, 3.683070615037494, 3.6842534959994935, 3.6848269932272326, 3.687041447873035, 3.6885259857918133, 3.6893188938941375, 3.690126908190127, 3.690293189029911, 3.6918374714232294, 3.692435070761064, 3.6926203675368154, 3.6950200280612755, 3.695616956198819, 3.6956425599436327, 3.6970820476336868, 3.6971976849365586, 3.697416445789508, 3.6993215272746696, 3.699940230609944, 3.7008820948538466, 3.7022170822284677, 3.702560557439281, 3.704908742449798, 3.7050122733663744, 3.7053427004657085, 3.706233219977544, 3.70727225216791, 3.709301964357818, 3.7097900814216125, 3.7107199677547325, 3.7107619548632345, 3.7108372500394387, 3.7120278102326627, 3.7121215061873203, 3.7128316776289565, 3.713836231458463, 3.715981247989179, 3.718176645776758, 3.7209560304246754, 3.72208087116377, 3.722303412818042, 3.7235073669734158, 3.724090718743274, 3.72457267651657, 3.7251022314357725, 3.728905073148643, 3.729795956256307, 3.7342828761165716, 3.7360469989353673, 3.736938860749686, 3.7375228268121226, 3.737772283397413, 3.738421805126967, 3.7398248066014754, 3.7405733163408397, 3.7438254398137554, 3.7459466586546295, 3.746630925904724, 3.7469796498582415, 3.7481662528229056, 3.7496830038633737, 3.7497522851955156, 3.750508932547958, 3.75234975083869, 3.7526856543521987, 3.7533131061670995, 3.753427631260408, 3.7542243148876597, 3.7560265266752584, 3.7561716538997416, 3.7564542501015987, 3.756455012585965, 3.7573941976004677, 3.7587398132789405, 3.759267683823741, 3.7621948576007282, 3.7633261472582067, 3.7656141437134174, 3.766039906726316, 3.768003158500622, 3.768564902796457, 3.769432229364492, 3.769480006280861, 3.7696744236332913, 3.770410773157679, 3.772073235686174, 3.777297298367684, 3.7775033455139067, 3.7780285193056615, 3.780410088242948, 3.7805384943872835, 3.782996637484578, 3.783526950315124, 3.7839715992473595, 3.7863662727407124, 3.7867234653244246, 3.788018977075028, 3.7891413581117726, 3.7905426045069244, 3.7954360356315178, 3.7959360697775764, 3.7967708484172866, 3.79879458140739, 3.7999998572672475, 3.8017891282782035, 3.8024043237341476, 3.8024848900918524, 3.8030092009318848, 3.8034329551370396, 3.8041213311502253, 3.8051155230470877, 3.806975851216842, 3.80902114738777, 3.8096390074465853, 3.8121237373060204, 3.8126130561237432, 3.8169756865108666, 3.819447578596721, 3.8202897898807042, 3.8222511178776126, 3.8228673676473095, 3.828614247747997, 3.8294291009803696, 3.8327722755672182, 3.834209117657627, 3.838123209303418, 3.838671030224543, 3.8394125383529327, 3.8407499706457995, 3.8410079504387156, 3.8436244727381754, 3.8485602428497234, 3.8491067169586044, 3.8505951785562633, 3.8510541477096134, 3.851464796113294, 3.8569000210134137, 3.863130557131695, 3.8678452343611234, 3.8702527203805577, 3.87134373884797, 3.8763343643013988, 3.878186142591232, 3.879568402518352, 3.8812998088576274, 3.88504946459538, 3.8853127370660907, 3.8893532767572276, 3.8923729108654475, 3.894916278095943, 3.9002093356382357, 3.9007792884660533, 3.9011655154041205, 3.902819656096126, 3.9035128574590026, 3.9054059849977625, 3.9079251191863733, 3.910725910011591, 3.9127862823790824, 3.9143228007222195, 3.9197136593234143, 3.9207829709602353, 3.9218356655032736, 3.923391059313831, 3.924552933865239, 3.9302353263759375, 3.931502007728365, 3.936872413300097, 3.937360475305481, 3.940430926599752, 3.9433891197627537, 3.944192248089223, 3.9469168202122127, 3.949245841606153, 3.950936812740957, 3.9526586093598817, 3.952888278594015, 3.9586355766686303, 3.960596789753794, 3.963316666111495, 3.964601276354889, 3.9662213647045577, 3.9685768385536844, 3.9724704054110687, 3.9741170393095855, 3.9769200367793918, 3.977428356922749, 3.979658163136792, 3.9806583323424225, 3.9839575472585604, 3.9876703126946587, 3.9908468826077717, 3.993587298716856, 3.9953004484208563, 3.9966733777933467, 3.9989409868954153, 4.00000000000001, 4.001407838902353, 4.002686040521307, 4.00551040189082, 4.0057304892281245, 4.007531408277406, 4.010868517126112, 4.016875875627577, 4.02216401092413, 4.023975992918582, 4.024992758392935, 4.026143385510475, 4.028164746976162, 4.0304637784956725, 4.034407854247504, 4.04060796854605, 4.040842630958363, 4.041360316338536, 4.042836385262892, 4.052903491366059, 4.056800206269219, 4.059806679182537, 4.061095514599634, 4.063505059828212, 4.0681059601743765, 4.068344470666557, 4.069902204264884, 4.070054762710839, 4.0705515701782655, 4.071122887369118, 4.071879443422473, 4.073887350824389, 4.0757534195085325, 4.079572414972132, 4.081660306237457, 4.082754868579145, 4.083959843581831, 4.08471772737241, 4.088350119609496, 4.089213704257073, 4.089925934814195, 4.097085023319988, 4.097897446687218, 4.1010172783959975, 4.101074057162023, 4.101327601531594, 4.101857377811015, 4.105536384487056, 4.113743559877993, 4.115393626069377, 4.115769843814334, 4.117539487986641, 4.117806967699383, 4.118691728455763, 4.12287849436914, 4.123545330585749, 4.126096420441309, 4.126187346398187, 4.126879053849706, 4.131248117649882, 4.132209015943114, 4.1332561476652785, 4.142895473697979, 4.143780366089389, 4.148919182318749, 4.148991974698521, 4.150034277415181, 4.153157001640436, 4.1580944241555775, 4.159125291366223, 4.162662370634536, 4.162868985189563, 4.165965396629153, 4.166159359573027, 4.171589479532704, 4.171919116141921, 4.176493441822447, 4.183080099926001, 4.184413224837446, 4.188679954876332, 4.193427218137408, 4.194241059193308, 4.197726553337993, 4.199329308062252, 4.201918418601525, 4.208612114674875, 4.209514347575772, 4.212731061819159, 4.212872133222555, 4.2130354950672375, 4.217196406673546, 4.217389559594032, 4.217769864576571, 4.221090900495717, 4.22546645193924, 4.229781665528093, 4.231114482396908, 4.231207304649697, 4.232444864490918, 4.2365994094990915, 4.243094850842033, 4.243906412806928, 4.246341572356927, 4.250012815133619, 4.251491197721665, 4.253733978617643, 4.255063354319856, 4.259975592813446, 4.2613845456755515, 4.261497118542456, 4.264787740408159, 4.266994927493034, 4.268035637809486, 4.268289277488248, 4.2705036434440515, 4.272509710507867, 4.2750832378761, 4.278554405033765, 4.279340843606616, 4.280881255515698, 4.2855575108108575, 4.285662746322339, 4.286299795803542, 4.287786262531659, 4.291655176034801, 4.291963350398154, 4.292806243314246, 4.293549165658137, 4.299653576340352, 4.300393257314735, 4.302477627433709, 4.302684326310519, 4.306324809116829, 4.3073317443170644, 4.308064386569549, 4.312802749994424, 4.313154697878567, 4.315754972761939, 4.316177336469816, 4.317099797580213, 4.320188268025244, 4.320790918256082, 4.32080939520126, 4.3211697582815765, 4.3223053907978235, 4.325288871995762, 4.325750814813169, 4.3277749975232345, 4.330150653014302, 4.33100722713187, 4.332925348662717, 4.333857756295769, 4.3367414459439555, 4.338726059301578, 4.338840928106156, 4.340217142468414, 4.344659190543965, 4.347015374558271, 4.347177974789377, 4.347801088590988, 4.3486873727456095, 4.348998744637128, 4.352678331635478, 4.353265490146717, 4.353299100527802, 4.354707481681697, 4.3551996693990045, 4.358343241198402, 4.359258927911117, 4.359830823773552, 4.361467007222392, 4.36150389849023, 4.364083301186586, 4.364346635976115, 4.368207902703903, 4.3719544588136205, 4.371962815137459, 4.37486192708697, 4.376692646846077, 4.376976321525526, 4.377209063441542, 4.3786188919626605, 4.380801107316489, 4.383493165611644, 4.384575803280003, 4.389484809612174, 4.389549209350315, 4.3917627416565574, 4.39235176431402, 4.393916223468793, 4.396934652382208, 4.397783651249186, 4.399930599778047, 4.402805541518377, 4.4041773008463645, 4.405817918056257, 4.405921117331224, 4.406230988942701, 4.410642579088836, 4.412090595415096, 4.4128158161304185, 4.415371675142569, 4.416059934654448, 4.421274989446458, 4.422289004659503, 4.423345163106642, 4.423961295931064, 4.425420795932247, 4.42564551548423, 4.428417846162685, 4.429065855907802, 4.42995342856541, 4.430716287087813, 4.431628716771272, 4.431680626541245, 4.4321419931341985, 4.432146614013655, 4.436693943739712, 4.438224884299867, 4.439673726024601, 4.439928016053779, 4.443077050879881, 4.4448566252682875, 4.445685118161471, 4.449345249726195, 4.449767343411264, 4.449993878868451, 4.450923208725426, 4.45257105460575, 4.45307883620608, 4.4545824434388575, 4.455855920786292, 4.457523227216152, 4.457643778462167, 4.458890535448088, 4.45902691185568, 4.459991926767182, 4.460445449775652, 4.46140342919915, 4.464040778253606, 4.464961674740911, 4.465726555972559, 4.467776417354306, 4.468470291252817, 4.4690609529796985, 4.4695520728954525, 4.471503209120074, 4.473386226674694, 4.476189968232642, 4.476841777898844, 4.477198457379666, 4.477997316335162, 4.4783258652740265, 4.479691714926424, 4.481237838979853, 4.484305405755861, 4.48502427107939, 4.485570860017211, 4.485982283334776, 4.486562272648975, 4.487031057481647, 4.487369914033726, 4.489470823336452, 4.490335583062503, 4.491042553312159, 4.492563562783232, 4.494178459212932, 4.494936924513329, 4.495809558162072, 4.499946913421663, 4.501114843680404, 4.5012770573633, 4.501801395663263, 4.503664284768077, 4.503739184503198, 4.505882522952458, 4.5072500097884, 4.5075944021845515, 4.508818835841524, 4.510568375802258, 4.514473259246049, 4.5146417142210495, 4.515952095754049, 4.516394714606478, 4.516747508665339, 4.517303901957401, 4.517690268881011, 4.520018784623845, 4.520366856978696, 4.523068633803542, 4.523319681740975, 4.523360956711066, 4.525315100381709, 4.526206402086754, 4.526979858656115, 4.527509801336954, 4.530673810194683, 4.530784679442164, 4.53213457705889, 4.5328329073754645, 4.5335149231755425, 4.538184014970112, 4.538953724236404, 4.539424778564944, 4.539856335605773, 4.540992949056513, 4.5430546563897405, 4.544031499773706, 4.545481377844114, 4.545978454480681, 4.546965732566051, 4.547871364490353, 4.550341866857338, 4.553093110747294, 4.553405456511098, 4.554927720284774, 4.555520143202069, 4.5564803674033865, 4.5626166675271, 4.563741171469267, 4.5641577280939485, 4.566793886074007, 4.56763386304729, 4.568385571176805, 4.5705638499373995, 4.57405869611484, 4.575679193409258, 4.576893507649559, 4.579844138504988, 4.581099646682582, 4.58134785820524, 4.581745007587898, 4.582551019407048, 4.582755426008569, 4.58743578459615, 4.588116775345953, 4.590479366683725, 4.592722585934503, 4.593017679088122, 4.5933335082768165, 4.5990184374072935, 4.600402563549001, 4.602017897855009, 4.60393245990372, 4.604858429368293, 4.605695459807351, 4.608012638785865, 4.609029730430267, 4.6101421553587265, 4.613364405845587, 4.614340403075944, 4.61557633247044, 4.615668471390041, 4.616252985743127, 4.618102684318131, 4.621105261453392, 4.622867091842665, 4.623328478970936, 4.625253273058451, 4.626806988932433, 4.626839133994995, 4.630579471427357, 4.63206411040106, 4.634278935575782, 4.634994929403027, 4.635487857263903, 4.636221372418213, 4.637925185285849, 4.638036256938783, 4.638972786875515, 4.641981468363061, 4.642335816207724, 4.644372082991268, 4.6450540657972255, 4.64550032336887, 4.646474307228602, 4.646745090288367, 4.648154317922495, 4.649013513365699, 4.649809585642985, 4.651139335361443, 4.651825439486647, 4.653130482985504, 4.653972897852771, 4.6539910395994495, 4.655323291244232, 4.655655919371499, 4.656188005427852, 4.6565704146484, 4.658151138232582, 4.6600717650130425, 4.662482125832337, 4.663079709595403, 4.664088346727109, 4.664194506394259, 4.665509849433219, 4.6689642896446575, 4.66910338399562, 4.670033796451803, 4.670312227371569, 4.674924164228062, 4.675907183682108, 4.676126769174156, 4.676237338267411, 4.677906781128289, 4.678714150226931, 4.679470567596957, 4.68122649281821, 4.682403290093237, 4.682662523627748, 4.683330077737855, 4.6839746321261035, 4.683983459105757, 4.684554451447392, 4.684784020126587, 4.687500601783198, 4.688504486715539, 4.690669264993814, 4.690867860820032, 4.6913294659210285, 4.691443700831556, 4.691716097036173, 4.693329810698319, 4.697216290701864, 4.697811057596216, 4.697990201997709, 4.6988930872888535, 4.6991911957845325, 4.69920082004343, 4.701947535749273, 4.702455614527303, 4.704243901646492, 4.70638236860797, 4.707580358101077, 4.708247612121389, 4.709297167902403, 4.709729947446386, 4.710097213787212, 4.711240825209723, 4.7117001095724405, 4.712393270278439, 4.712839603576368, 4.715348844231651, 4.716562636644098, 4.718626043511929, 4.720222543769386, 4.720236509599086, 4.721606342498747, 4.722011740790988, 4.723672296842222, 4.724136524417457, 4.724268177277893, 4.725710801595311, 4.725723443854825, 4.727361214680019, 4.727792737236966, 4.728999984984362, 4.7315782137047515, 4.73233981877025, 4.736508861716052, 4.737190422517789, 4.7371968955793315, 4.7386332299738925, 4.7397174483147495, 4.741384607288359, 4.743396819289176, 4.7443502417196735, 4.74655822156412, 4.750218842902678, 4.7513525180967235, 4.751469319466484, 4.754102586216987, 4.755774141675104, 4.757388305024169, 4.760603233058919, 4.7612433437178066, 4.761415233652351, 4.763653198244989, 4.765023763194343, 4.765191566004202, 4.765550909091397, 4.767413272781787, 4.768576836275746, 4.773383191929087, 4.773918313771246, 4.775909438256265, 4.775928605673716, 4.776417412478806, 4.779175418277022, 4.779437288394405, 4.786106762671953, 4.788226889406785, 4.788630714339647, 4.792410801797966, 4.7960822766139835, 4.796192031764865, 4.799372293387451, 4.807482450767895, 4.807694848301537, 4.817127674856846, 4.822082949918747, 4.823255184804282, 4.823407473628463, 4.826268503905776, 4.829142140276406, 4.830732488721215, 4.832968367610406, 4.833927668668506, 4.834288892412726, 4.8381602568897035, 4.840133585801975, 4.8405485564960795, 4.843076154358238, 4.8456943041500296, 4.845990985954543, 4.84635446711862, 4.851974857503876, 4.852461125836353, 4.854081858727132, 4.855373266129361, 4.855755698160463, 4.858406063317112, 4.859121260645595, 4.859894237796031, 4.860745577105087, 4.8626222413113, 4.865274586237243, 4.866609798977967, 4.8683122831841175, 4.870793120196532, 4.874814578637254, 4.877340549852885, 4.878924704506359, 4.879619752104436, 4.880553719365407, 4.882776451582309, 4.8849047746850065, 4.887101881767932, 4.888459618370512, 4.893356684153414, 4.893482778128344, 4.8941527085894645, 4.894987720305027, 4.896118075251828, 4.897402458786817, 4.899421682664232, 4.900211876164617, 4.900812716625148, 4.901057834675388, 4.901730614703257, 4.902883769031811, 4.905201626517168, 4.908964602261351, 4.910013561309639, 4.910786741844699, 4.913997117143247, 4.914516321058565, 4.9154493573094715, 4.915977152189385, 4.918253970312931, 4.9203120471632165, 4.92104638178608, 4.922328412520708, 4.922338859648735, 4.9238686843240265, 4.925368562748111, 4.926602479830423, 4.9284113657698985, 4.929596496893168, 4.931211692473685, 4.932745206579719, 4.933529194439013, 4.934561103526202, 4.938150204262368, 4.938859843071171, 4.938879136017653, 4.940645199873725, 4.945290552480509, 4.946407170361407, 4.946861423418997, 4.951931884887364, 4.9525789401513425, 4.952912752129192, 4.9530164218670665, 4.953688620846546, 4.953941871906865, 4.957577773653505, 4.95919963942665, 4.959924869996392, 4.9607860167190765, 4.961312182215009, 4.961369287592672, 4.9620383677193365, 4.9640288345022245, 4.964289758343972, 4.96658588052421, 4.9679647961371245, 4.969131990897801, 4.969813288311896, 4.971563580878021, 4.972330053014524, 4.974727146304832, 4.975820035321031, 4.976330885687832, 4.977661928087698, 4.9786856910802655, 4.979393685886462, 4.979423793834707, 4.979598946979823, 4.979666787229557, 4.980690304642319, 4.98104413299386, 4.981669194516047, 4.981939229811578, 4.983349599279294, 4.984393277523526, 4.984805815506814, 4.985772503650636, 4.986214067271969, 4.986241771067644, 4.9873355503655175, 4.987899263809082, 4.9901161596592, 4.990314991912501, 4.991876415003079, 4.99234468477299, 4.993212142496914, 4.9945782588321475, 4.994713631860036, 4.9965058655779195, 4.996890438490308, 4.997631869101407, 4.998290752203485, 4.998907925715425, 4.9993283230735575, 4.999678155624261, 5.000531351522415, 5.000769686082567, 5.001192975191513, 5.001906542237328, 5.002385479825068, 5.003546296057112, 5.004358607153239, 5.0052298143802405, 5.005827235974358, 5.006872453946794, 5.010354150871851, 5.010962877718125, 5.0118874699828915, 5.01256599881306, 5.013265867376444, 5.01406409325925, 5.015665594625805, 5.016760925511357, 5.016849328236277, 5.017801766815102, 5.0188518334172185, 5.018874437442781, 5.021647401465224, 5.0222978181321665, 5.0226950184866315, 5.024338836937462, 5.024511052193956, 5.024856084043927, 5.0261626532393855, 5.027637775100555, 5.02877102942964, 5.029119392564299, 5.029336452117588, 5.030011465474732, 5.033311283993745, 5.0347976457389905, 5.03482753551873, 5.0349600089491595, 5.036403906492566, 5.039251205192672, 5.040711813978856, 5.0426760712340855, 5.043472339877097, 5.043670088052054, 5.044833529078322, 5.045468195267117, 5.0463743703749975, 5.0471120007626675, 5.048497247019019, 5.05110884748336, 5.052628580078906, 5.053766670567785, 5.055157408151124, 5.056999387405431, 5.0621420875462135, 5.062144055215066, 5.063434629063066, 5.06387733760357, 5.065929543853198, 5.068471226366808, 5.068958766493579, 5.070938418457912, 5.07147956861396, 5.073576383882237, 5.073941240547546, 5.075558022431821, 5.077135611232397, 5.077745058411632, 5.082249069916435, 5.082605514711069, 5.085135861602696, 5.086211840274816, 5.087691084680189, 5.089332631599875, 5.091177335915672, 5.093041992844844, 5.094068678618003, 5.096426850547235, 5.098548009511216, 5.099239640401336, 5.099909378339706, 5.102438958385641, 5.104753089703151, 5.104884570454429, 5.10814307175932, 5.108617455794436, 5.109280161768094, 5.110549272634234, 5.114288949607632, 5.1143592006314895, 5.116898449899477, 5.1172268802081975, 5.118219161226883, 5.119540914077235, 5.120422360647278, 5.121401412117096, 5.1235203836720995, 5.125328726662976, 5.125344668807184, 5.12655873006161, 5.127330530972451, 5.127385254472609, 5.130988269508176, 5.1312695325942475, 5.131866899719791, 5.131908313939894, 5.133116776584553, 5.1351324884928236, 5.135904481620505, 5.137117102012518, 5.138487511819979, 5.138575858236588, 5.14017157826538, 5.140448860358944, 5.141644531579416, 5.1437085268973055, 5.143882559690138, 5.144140788427636, 5.144845515838775, 5.145086006507296, 5.145557284179027, 5.145654542307085, 5.146025390636841, 5.146512326559173, 5.148397461681212, 5.150110834136479, 5.15024423126934, 5.150361018532155, 5.150865095979504, 5.150931923803306, 5.15144441897489, 5.155814657743553, 5.1563472038794185, 5.156558658174301, 5.157318345255305, 5.158807891402791, 5.159700571322325, 5.160288186064839, 5.161239916865713, 5.165374119824791, 5.165836573625488, 5.167096415411199, 5.173200525702992, 5.173447168211022, 5.173876566438296, 5.174549702693406, 5.176366412963281, 5.176818598743554, 5.180337686830854, 5.1806072316081275, 5.184048820879521, 5.184110075044486, 5.185366320818052, 5.188363861805832, 5.188640143134196, 5.190787624594116, 5.1911663412315345, 5.191239725793433, 5.19193699140968, 5.194030298483041, 5.195231271954932, 5.197628890680235, 5.198034797327858, 5.19891065180766, 5.200046845919247, 5.202587180062011, 5.20483157105466, 5.205259987544622, 5.207722504282717, 5.207949079411943, 5.208973696131791, 5.209129850804376, 5.209843824142346, 5.213871491426565, 5.217478893354754, 5.21782558992598, 5.219254372349136, 5.219889297443061, 5.220757714691348, 5.221890081231603, 5.222242485665686, 5.222499409899658, 5.223965022768349, 5.225525206217239, 5.226274291432272, 5.230911603793462, 5.231960219738188, 5.232166159051919, 5.234055065345808, 5.2344601623628595, 5.2364883881678175, 5.237304956532757, 5.239514888058342, 5.239695882039993, 5.240423402636396, 5.2408052965524154, 5.240841025796223, 5.246748189918249, 5.24684200609043, 5.247746013447186, 5.248786421412252, 5.252139912240826, 5.254819231726098, 5.2553755617120625, 5.257029971470974, 5.258820772278216, 5.260273509174508, 5.260981677063956, 5.261265060564319, 5.261716151523749, 5.2635023725405965, 5.263654026830962, 5.264434832302632, 5.264723372806969, 5.266362522658105, 5.267825632714849, 5.268401653606869, 5.2691749169661595, 5.2723884274376696, 5.275926667309714, 5.280369365073788, 5.280704927655353, 5.280914332567745, 5.281603453215408, 5.2818152315909845, 5.2829872345747635, 5.284079831871678, 5.285422469111774, 5.289260734795767, 5.289829496547423, 5.290982597018152, 5.2924498033972665, 5.293257802314531, 5.296454613487941, 5.298142948336655, 5.299548906780696, 5.301106237740606, 5.303089332968819, 5.303935467629229, 5.30602343696419, 5.307368653549449, 5.310432708944399, 5.3122092121939595, 5.3129727564968245, 5.314255189455253, 5.317209894629004, 5.317755611837853, 5.317767877991892, 5.320035486938991, 5.320502877458923, 5.323399224609396, 5.32614511834005, 5.32646577342436, 5.332776552480316, 5.33314768707491, 5.33319340861701, 5.333714345948966, 5.334716270788037, 5.34380238662713, 5.344801012936093, 5.3455720718519055, 5.345602069678471, 5.346834189451769, 5.350443715988054, 5.351236286554904, 5.353872762165448, 5.356237110652795, 5.35697621931662, 5.359898685651328, 5.3620222593703275, 5.363177701881416, 5.36395800859338, 5.36496728867906, 5.365222092601206, 5.366230377966082, 5.36723620199004, 5.369355474569371, 5.3720807005702955, 5.379431322379926, 5.380962184554033, 5.383042438542498, 5.385688001649374, 5.385897624265531, 5.388626355201077, 5.396767776415237, 5.39932879320905, 5.399946563042185, 5.401770606307476, 5.403383360241659, 5.406253642912286, 5.4105479036103885, 5.412655994490614, 5.414985293954904, 5.417594204737219, 5.419181426210758, 5.424882737591353, 5.428107633897933, 5.428700835847228, 5.437547737897996, 5.443261977493658, 5.4434510267998535, 5.44357305400631, 5.445359455959117, 5.445887628270188, 5.45202360393339, 5.456384447687769, 5.4583268588724, 5.459969999714155, 5.464031769104854, 5.466083154368591, 5.467471296256003, 5.473615385110248, 5.474672129138746, 5.478370091645645, 5.481313533178508, 5.481558061902184, 5.484321920748598, 5.487500305194244, 5.489733843217448, 5.4901251811976985, 5.493787831447217, 5.4999014325501046, 5.501486722019262, 5.501945784507393, 5.506616450349078, 5.507915937334665, 5.5100385257637585, 5.515638459642973, 5.517060273201433, 5.517367104464153, 5.518173273843336, 5.520187060518656, 5.522763356322804, 5.527521205295856, 5.528853713807336, 5.5312540386720785, 5.53352693868646, 5.534377740039255, 5.537935611871651, 5.544566759830163, 5.550017435915369, 5.550590743383732, 5.55106396446012, 5.551354733443839, 5.553932206611409, 5.557019907087167, 5.562728493105237, 5.563051212490183, 5.56902641205038, 5.569517790029406, 5.578238147063988, 5.580370105560566, 5.581244378880102, 5.581865640083543, 5.585509044575812, 5.590082201807911, 5.592047104157885, 5.59585378814309, 5.597233100012118, 5.598365229572854, 5.603104688248945, 5.606958107923575, 5.607866432425554, 5.612421355765577, 5.612544898805845, 5.619009836261418, 5.619825074659738, 5.620469085128036, 5.6212496611532785, 5.623913227707404, 5.6254651451597235, 5.629285799606526, 5.631119112389859, 5.631378166730942, 5.63553479916666, 5.639587807793745, 5.639988258633932, 5.6423096291029315, 5.642681261741391, 5.649925400392691, 5.650810054828799, 5.6523485060664465, 5.654734027874742, 5.654959506452695, 5.657251341764235, 5.657625831974364, 5.658052329427613, 5.65835917731224, 5.661319468609232, 5.662424988289701, 5.664319373705964, 5.664604499930808, 5.6648263858446954, 5.668561555990556, 5.668587624422349, 5.670610394535502, 5.672747858953848, 5.673293792202739, 5.673753213873784, 5.675224717205687, 5.677012252996004, 5.679359054896341, 5.679945979898517, 5.681471673414327, 5.683042334040697, 5.684206304592899, 5.685079946271132, 5.687878202562173, 5.6883963828838615, 5.688786563152619, 5.689591446727946, 5.691046167223429, 5.692042383601845, 5.697355260910508, 5.697593497131743, 5.700228498681358, 5.701286269866702, 5.7024668930750835, 5.705461144883536, 5.707124474854725, 5.707887198407851, 5.708573137943083, 5.7099566529245545, 5.710573922088589, 5.710745999241421, 5.711590347767608, 5.716903748461408, 5.717354146207866, 5.7197641550983, 5.719802761586768, 5.724985789949244, 5.725436010607946, 5.726009508127294, 5.73307350702155, 5.740155396794807, 5.7447573965896925, 5.745163023636489, 5.747989539916598, 5.7488746619546705, 5.749591966937239, 5.752154583352675, 5.752244771731752, 5.754074990818815, 5.757031599442101, 5.7580199027443975, 5.758628431700348, 5.759168754665045, 5.761315357653242, 5.762609566771063, 5.764859240558106, 5.766804651932537, 5.7679965055979485, 5.781683118732545, 5.785367235878528, 5.794625519248189, 5.800191455087731, 5.801422374876788, 5.80522533636183, 5.810394797338659, 5.8111947082457975, 5.812246815952387, 5.813206788010879, 5.818115358381007, 5.81923479337554, 5.82122978349872, 5.822650256705655, 5.82326724709256, 5.833916293611573, 5.835477767277326, 5.835798928247164, 5.8359577897168915, 5.83731982404043, 5.839255590189319, 5.84160235720484, 5.854286999211462, 5.8557887579393, 5.856567790450527, 5.86080832817045, 5.861301640107627, 5.861406434776422, 5.863340759498805, 5.863552455117958, 5.864200956006215, 5.86848290471549, 5.87421050945844, 5.87607902660567, 5.8779168994065225, 5.879745153138514, 5.882892485132536, 5.886333371474285, 5.887421744504215, 5.89073803455046, 5.890827093079122, 5.895390949967167, 5.8955028793405155, 5.896650696979034, 5.897589897870321, 5.900264632245104, 5.9026424772476735, 5.902705344157774, 5.906352545308554, 5.907102004563962, 5.909598671864784, 5.916166006883717, 5.91828292073057, 5.9188231684683315, 5.9209838806883655, 5.924512238239875, 5.927709228843211, 5.92958265774964, 5.93287319440181, 5.935062995214974, 5.939659628177855, 5.940920626179428, 5.942397575331429, 5.944614955067786, 5.94608329569248, 5.946224065264239, 5.946913705937311, 5.9501156728401465, 5.954755429315247, 5.955712941663409, 5.960419297449553, 5.960655597908196, 5.962610321968419, 5.970257379731752, 5.971531980500708, 5.9722714474851974, 5.97517413023943, 5.976279175028776, 5.98634357435967, 5.9900777824211975, 5.990923828065744, 5.993878090946874, 5.999296687718231, 6.0033021874405605, 6.009200406357285, 6.009956728519596, 6.010119696034275, 6.012028328063483, 6.013270517701368, 6.014499772125414, 6.015771368107184, 6.019215919841241, 6.0196063245229485, 6.020117552075921, 6.020627977315981, 6.026506315980604, 6.027968803336841, 6.029402631740123, 6.029449474715053, 6.031136534009674, 6.036023419260279, 6.0374042678755115, 6.046299043071161, 6.046640078524712, 6.048312958777256, 6.048984104231506, 6.053611782615009, 6.054799875163158, 6.055535513503903, 6.059965670331946, 6.061385885073149, 6.064577437713672, 6.066153702812217, 6.069313584448102, 6.074067416653767, 6.075495113712345, 6.080405704344149, 6.082695971976449, 6.085231641367756, 6.086067785331316, 6.088699205186469, 6.090026491599619, 6.091847848810171, 6.0960647275265645, 6.0967803049637395, 6.097197815815361, 6.0974767350219485, 6.100728952697395, 6.1014505544745505, 6.1021048526487265, 6.103006954734478, 6.105361085989447, 6.105709000503635, 6.108335944559919, 6.110006514847785, 6.115183139115954, 6.115356865816748, 6.115756335653554, 6.1199149689963885, 6.122287648483748, 6.122468024750155, 6.12457406002774, 6.124936292076433, 6.1296737475289, 6.129950749388257, 6.132158981707273, 6.132498852554554, 6.1396777797774185, 6.140133188152676, 6.140177102100532, 6.140980812522956, 6.143347596574116, 6.14749057454033, 6.150476514102787, 6.1529058842975495, 6.153584531910202, 6.156410734586049, 6.157015818637669, 6.15795744702641, 6.158126513172695, 6.162232045058502, 6.1682628545380895, 6.17014446217513, 6.174507053902953, 6.175477614060757, 6.176917566316668, 6.177579793020601, 6.177729835965017, 6.1821928995723345, 6.185293873759394, 6.186567008166278, 6.189792953805694, 6.190293413182291, 6.191617404515211, 6.194629225274125, 6.1948654433439, 6.195589490233564, 6.19848581284439, 6.198600799972357, 6.201622502567884, 6.205951893835525, 6.2063068240962, 6.2121458031928345, 6.214274678779332, 6.217401558915924, 6.218982245065669, 6.220340634576138, 6.222775991193883, 6.224730206947517, 6.227124297816059, 6.228295220319741, 6.228579167092708, 6.232948182045522, 6.233246642769047, 6.2364094818442535, 6.24037905619792, 6.2424987767258315, 6.243427158509666, 6.245523499039712, 6.246844619956261, 6.2481616389161045, 6.2488794014250795, 6.24975699448278, 6.258183159980449, 6.259474932922799, 6.263401548690653, 6.267528250737238, 6.269613407903251, 6.273716971937313, 6.276004976848022, 6.276190036930696, 6.280520807646968, 6.281192081869088, 6.28370262373836, 6.285945706519509, 6.290141715768593, 6.291138037032508, 6.292419481537446, 6.292555664769307, 6.29366148640052, 6.293937762467688, 6.295792004436996, 6.296517741994982, 6.297017895814877, 6.297039750290141, 6.297709133660638, 6.2983751437452336, 6.30130595105659, 6.305553404553975, 6.305680920967398, 6.309143460715046, 6.311709396390107, 6.314119651291493, 6.315419136878788, 6.315928230047687, 6.317506742852014, 6.320581422215677, 6.32138712990122, 6.323226219285218, 6.323264506668094, 6.326030328561743, 6.328485441390087, 6.329952379888459, 6.342818184786881, 6.358115777907457, 6.361850614613213, 6.363063617568352, 6.366248592115886, 6.373614932584372, 6.385398552145286, 6.386795773440418, 6.429258216882569, 6.432792445742354, 6.437238391659921, 6.442033352354392, 6.442134206522288, 6.4487490329948445, 6.448804722673836, 6.451701520854524, 6.452044191331496, 6.455470711946973, 6.457230646615005, 6.458099677269612, 6.463404639325216, 6.466840029835507, 6.467939705191582, 6.47022460952212, 6.473072355175875, 6.474920400791222, 6.479368341565891, 6.481813201396932, 6.48248033089137, 6.4831027072060445, 6.483231605731056, 6.48348982504035, 6.483552502732406, 6.4840158686372735, 6.485361066384639, 6.487881091671578, 6.488288670663091, 6.488527976184488, 6.491021333425685, 6.492351919586495, 6.493292698352452, 6.493484551208255, 6.495345387362421, 6.4995828001272695, 6.500016028711613, 6.500787396621311, 6.503472165116145, 6.503856959103355, 6.504093295352831, 6.505013018884946, 6.506475174835514, 6.506795399902541, 6.508854147264373, 6.50895973489864, 6.510678069471412, 6.5106850355851735, 6.512344808979126, 6.513228942639538, 6.514295325322164, 6.514962284047915, 6.515003077139132, 6.519217299785091, 6.524176931983721, 6.52628351786461, 6.526998065778873, 6.530205613431865, 6.530792590193461, 6.53121218181511, 6.5324537736495305, 6.535610641471354, 6.53601447344474, 6.5361618131122965, 6.545175511546142, 6.547712841030429, 6.549510373700178, 6.554447864782749, 6.554751563494662, 6.555322248896977, 6.55653664073223, 6.562292868360931, 6.564997321549266, 6.5652978672978435, 6.568859899900609, 6.570526062256721, 6.570746149002199, 6.582529236234614, 6.594210136375812, 6.596055232267816, 6.597318930357861, 6.5985095213763945, 6.600304412099213, 6.614347131982536, 6.616156343446411, 6.618509439710021, 6.621355909140111, 6.624516393755715, 6.627789861251405, 6.628931223237514, 6.631913679607315, 6.6383501596739265, 6.640917852463582, 6.643854430976949, 6.645579901211378, 6.651387567473635, 6.653195563045625, 6.653400747336294, 6.65566962310562, 6.656714388259504, 6.661669854814438, 6.662784992805128, 6.6660631608760035, 6.668175100632015, 6.669140747674949, 6.669664122485089, 6.673489405521754, 6.675130554616836, 6.684453247661996, 6.686900132246747, 6.687760048692586, 6.687888568758159, 6.6999576477844345, 6.702037752810264, 6.703163795594217, 6.704952962671677, 6.7104222972062235, 6.714741310814539, 6.714745369534969, 6.719365882550841, 6.719402732867076, 6.721369664881842, 6.724869439808269, 6.727337019135578, 6.733893126192969, 6.7376494841727474, 6.7404221435632845, 6.742050853912131, 6.742416000298085, 6.743101523274391, 6.750216366953296, 6.752350514584017, 6.757380569963893, 6.758763662953796, 6.760407467085403, 6.77800862006749, 6.782782110365251, 6.7947147822976826, 6.800357368541345, 6.808017671631494, 6.812472563923045, 6.8229223220613635, 6.825881072216497, 6.826094741998185, 6.8284720306716125, 6.831407896625256, 6.835130021543026, 6.838055843522385, 6.83881436734353, 6.841482015502695, 6.847476504675665, 6.8485163312303365, 6.851042234011223, 6.856848082686592, 6.859366923764068, 6.8661405140672, 6.86826957377426, 6.872247466284397, 6.8728769453120915, 6.879758532532444, 6.880792862372084, 6.882659355314952, 6.887838812201927, 6.88785711490523, 6.889644342079588, 6.891210747565401, 6.898078174649675, 6.900339042967979, 6.900733969536138, 6.903445659079578, 6.9064408079148745, 6.909618064117598, 6.911687055375514, 6.912947061299199, 6.913431857060942, 6.914493676461303, 6.914960592176039, 6.922203788198166, 6.9290343129103436, 6.929376717907195, 6.931005740538399, 6.936146457845104, 6.940325159776638, 6.941060345834003, 6.943636053840247, 6.946098275333655, 6.950657534850405, 6.951462528178032, 6.963928330790462, 6.96404159284845, 6.965303220298996, 6.9683151279475775, 6.969573306768296, 6.97295968353701, 6.973948603473024, 6.977158228754923, 6.980696445654079, 6.981576403912596, 6.981683549864161, 6.981717877201289, 6.984847515019375, 6.988462731965378, 6.9893911768096135, 6.992092994092262, 6.996166073287188, 7.00210781446002, 7.002189289467567, 7.0055082924552226, 7.006367933103426, 7.0067211782758285, 7.007750274000808, 7.0120373654870125, 7.015058518883879, 7.0180540542721035, 7.018223520819699, 7.018382012120512, 7.019902295809622, 7.025965019310271, 7.02643601349919, 7.028995233873218, 7.029297450387685, 7.030736120840637, 7.031689226347061, 7.036870143603574, 7.037043404115452, 7.0374962315078395, 7.038322243562202, 7.039076115314851, 7.040133901359918, 7.042659901903414, 7.04469097873164, 7.044894625892432, 7.04841803345475, 7.051777357449838, 7.053095181883849, 7.0537494747033715, 7.054325408910222, 7.05439739892013, 7.0548240267157505, 7.057004244669588, 7.057350327583389, 7.057985527299127, 7.05834859834139, 7.059291926871893, 7.059337042883579, 7.061686059628745, 7.061769868738952, 7.063035995021872, 7.064353607681586, 7.066201872499804, 7.067165895793805, 7.067994642856383, 7.070858820431405, 7.072334324369951, 7.0729380760729885, 7.073737987897645, 7.075732301802532, 7.077013727182413, 7.078330645867924, 7.078953204957096, 7.079553057535522, 7.0800254991758145, 7.080443365368408, 7.080480110690958, 7.082473319177414, 7.082589491890437, 7.083253590503815, 7.083918881879819, 7.086659970410129, 7.087304632585986, 7.088359476004879, 7.089650851724491, 7.090098578046282, 7.092139757487199, 7.092545254704697, 7.0938033870992125, 7.093926860974192, 7.094201045228824, 7.095834169629826, 7.096737517152143, 7.097789938352836, 7.098634180249247, 7.0996101403070195, 7.101098886638024, 7.101391218031258, 7.102774499714704, 7.103116384997377, 7.104363207029081, 7.104646569225064, 7.106217406357118, 7.107248210771981, 7.107826802740323, 7.109391526801396, 7.109582233795488, 7.109593809754962, 7.111866280331748, 7.112136378320909, 7.112139915512491, 7.114581743874493, 7.114823077142307, 7.115325121857433, 7.116323990220854, 7.116400029950356, 7.116845842799715, 7.117877072030308, 7.119566709821397, 7.119670189313939, 7.1200715035749, 7.120793703628925, 7.121398616352856, 7.12344245650676, 7.123602909645244, 7.124161682275509, 7.124925450866203, 7.126013148445492, 7.126232942438553, 7.126359169132808, 7.1282685068222635, 7.128426911163905, 7.1291104598415735, 7.129713145094816, 7.132173745077997, 7.135476763545255, 7.1359612855642585, 7.1362226808064655, 7.138358774105535, 7.140249647216862, 7.140966841054824, 7.143068102751759, 7.145755852370448, 7.147415901059971, 7.148534238613639, 7.148770034673825, 7.148972431938936, 7.150556883052165, 7.157590258076799, 7.158538245866553, 7.158555975032892, 7.161750407033688, 7.162821671262975, 7.16321976567089, 7.1643466926470305, 7.165506410544986, 7.165644057596696, 7.1674887121838475, 7.169446009669179, 7.170912283411452, 7.173277164402013, 7.173379145449967, 7.173666321890429, 7.174549791023572, 7.175068935754117, 7.176025871800115, 7.177299401146553, 7.177463671016344, 7.178057937183485, 7.179262852836896, 7.179358353700376, 7.180108732045568, 7.180665131453479, 7.182302762383402, 7.182538299140706, 7.182713806061212, 7.183066402471826, 7.183952841495214, 7.184034008557136, 7.186160460095642, 7.187056674968911, 7.188497621518305, 7.188512657394286, 7.189318369320197, 7.189891196418693, 7.19047328443738, 7.190763548074637, 7.190827941550155, 7.194268497725917, 7.194667833950806, 7.1949158769452595, 7.196081914566651, 7.197023887700793, 7.197253552562895, 7.197854539898845, 7.1978997837531535, 7.1986586529674605, 7.199888615149702, 7.202283876635007, 7.203037572002449, 7.203299342694631, 7.20351479556669, 7.2049653396809035, 7.2053831228249985, 7.206820166540745, 7.2070650654435315, 7.207170628637405, 7.207407683005019, 7.207828484489269, 7.208171216797292, 7.209056558952637, 7.2092866652801195, 7.210760464057892, 7.2112905139673185, 7.211366801064305, 7.211496426121028, 7.211928263785081, 7.212573325463606, 7.213390684890017, 7.213841888724168, 7.214232786153301, 7.214397343987568, 7.2153999671013285, 7.215853292198214, 7.216382164702445, 7.217525153416387, 7.217721946274747, 7.21832198862729, 7.218504476587201, 7.218693833040533, 7.219480079427843, 7.220625639843524, 7.22109963994411, 7.221254449989532, 7.221401753817756, 7.222205797511953, 7.222239683938463, 7.2231516159396065, 7.2249132712783135, 7.225433099972532, 7.226128944624397, 7.226540457385257, 7.227102236538644, 7.22809517893765, 7.228784653875402, 7.229446823697164, 7.229790738234566, 7.231061919018446, 7.231262119342548, 7.231302179714008, 7.231345095125549, 7.231445664431451, 7.231482542041683, 7.232188417357396, 7.232891605355728, 7.2337081217500625, 7.234075116477396, 7.234714108284002, 7.234983987501244, 7.235406349066593, 7.236066006995618, 7.237129585097591, 7.237350418893378, 7.237356544883989, 7.237518626389397, 7.238196228519372, 7.238214523399907, 7.238985779218565, 7.239274255035618, 7.241069373914085, 7.2411001405698805, 7.241146320827397, 7.242123916420834, 7.242544705000586, 7.243907208966687, 7.244363418431099, 7.244369047344959, 7.244521087651684, 7.244785318469503, 7.245544595622876, 7.24741817043593, 7.247603382627698, 7.247626696576222, 7.247752243941568, 7.248228172087369, 7.24860207311712, 7.249217008640997, 7.249361529847492, 7.249606567502558, 7.250999464894168, 7.25125892249256, 7.251532199595316, 7.252016769667964, 7.2523095973246825, 7.252442604073649, 7.2525115600433585, 7.25352348434062, 7.254121051456614, 7.254222623587299, 7.255579827028223, 7.255662579847993, 7.256506756266001, 7.257040456197704, 7.257595588339632, 7.257806381794276, 7.25875607330727, 7.259550861148144, 7.259588250317157, 7.259623140787163, 7.260054885873487, 7.26032778023581, 7.260890678473747, 7.261023707980932, 7.261189230280281, 7.261639206651801, 7.262202027725283, 7.262280542470996, 7.263596408158231, 7.263864943851062, 7.264156488598961, 7.264378278905866, 7.265630972504376, 7.266729093674025, 7.267931554023264, 7.2683285644997415, 7.2685739578151045, 7.2686526466433214, 7.269557156004195, 7.269629792058574, 7.270075131283632, 7.271183678712999, 7.272576194763187, 7.273246007281718, 7.273672330715584, 7.274207229488589, 7.274295725067381, 7.2747414388825735, 7.275871408759915, 7.2761010524899055, 7.27641146797532, 7.276484194275102, 7.277919874924673, 7.278593531232564, 7.278865508485731, 7.278937954512645, 7.279987122356858, 7.280454348014416, 7.280884717726373, 7.281834777636153, 7.2845792993304554, 7.284974394573762, 7.285104515943212, 7.2856886960345335, 7.288661565295818, 7.289348769541669, 7.290839041181053, 7.290847145626871, 7.292349385320055, 7.293942852091962, 7.294320025386865, 7.295502128293474, 7.29700077992623, 7.29710337054766, 7.297830258630673, 7.298105676798062, 7.299015415360831, 7.30081713784409, 7.301037950940565, 7.30123842762114, 7.30333974936101, 7.304894485062636, 7.305227231562395, 7.306618933222862, 7.307150750694462, 7.309366325808204, 7.312233609673158, 7.313248060301947, 7.313436504674736, 7.313965839040469, 7.314458332269287, 7.3149129504887105, 7.3151004617587425, 7.315655156569144, 7.317175902247918, 7.317341688603796, 7.319196575024724, 7.319992413258844, 7.320535232183818, 7.320824323590468, 7.321447163608208, 7.321664677846133, 7.3219857641409245, 7.3225331980757815, 7.323669860958472, 7.324762000914953, 7.325942394524649, 7.32609809308359, 7.327809339703548, 7.32880535244332, 7.331590879412334, 7.332503112443563, 7.333185366878981, 7.333268778428991, 7.333571042177898, 7.333642056461757, 7.333992818979208, 7.334132385990488, 7.334660523151586, 7.334886179275688, 7.33809720290645, 7.338685228512509, 7.339419818197231, 7.3399274755229, 7.339951791747426, 7.34092076708089, 7.34373935493236, 7.344443272161823, 7.344653710099391, 7.345637587736944, 7.346112758731684, 7.346530342578406, 7.347050904248949, 7.349591673537467, 7.3496700886295985, 7.350069566321324, 7.350384305989103, 7.350610588647953, 7.35081558849437, 7.3517206807248305, 7.351965526567562, 7.353235079963506, 7.354038356937104, 7.355184326998839, 7.355231908299131, 7.35559915192464, 7.356606496902124, 7.3575482914886585, 7.357603637028511, 7.357685253102375, 7.359988495941639, 7.360351936975746, 7.360534419157882, 7.361631062032108, 7.362055278118089, 7.362747142142432, 7.363329231591256, 7.366821799740666, 7.372530003412229, 7.376533752047329, 7.376557094652656, 7.383176041963081, 7.383863991445349, 7.385289104247077, 7.387262542352514, 7.388065089377492, 7.392619122457199, 7.393262164329413, 7.397858490014693, 7.398303806846726, 7.402307932543529, 7.403454624929047, 7.403882574238157, 7.40594127080082]