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

eigenvalues = [1.4467593789646571e-15, 0.011393708584475918, 0.017672605749399908, 0.01886082403070674, 0.019205166524395356, 0.03315562629784888, 0.03835046455244823, 0.03880869260631342, 0.039964494385789424, 0.04622539492941063, 0.05435685563601185, 0.056640405174584275, 0.06159553509640003, 0.061989022645247104, 0.0674405941494689, 0.0684480316468883, 0.07236378858361835, 0.07256123202311467, 0.07869391548309093, 0.08507014115928267, 0.09867265807160434, 0.10505798450994273, 0.10830798417215441, 0.11218483213078168, 0.11437508323266947, 0.11439392016178336, 0.11469530564879107, 0.11629325163226963, 0.11655775264247728, 0.1178193898078549, 0.1190203380225299, 0.12196401881940347, 0.1392614628178711, 0.14511364954047384, 0.1471880255327643, 0.1494724443518886, 0.1520328568538501, 0.15543319736294733, 0.1610661029625103, 0.1684919359222525, 0.17281797555358516, 0.1756553179184438, 0.17970427204544878, 0.18143239265448635, 0.18328693542261787, 0.18370221178704255, 0.18868652737556588, 0.1959386085489404, 0.19770904645123002, 0.19890585116001608, 0.20248948513936846, 0.2060027973766927, 0.21233788745042595, 0.2153292379992145, 0.22214310807882223, 0.24197571336431736, 0.24419544446810046, 0.2473104249500825, 0.2530835711731793, 0.2586623111603812, 0.25902258510432263, 0.2610372637091477, 0.26199825803537374, 0.26287526308105996, 0.26556845490940717, 0.26685292157623686, 0.26930156809939204, 0.27008131195380064, 0.2720759713447336, 0.2731957257601544, 0.2739159344657242, 0.27414885836434033, 0.2844123178614489, 0.2867647906759766, 0.29604184477989093, 0.2983672088756369, 0.2989928598690639, 0.30068829048421336, 0.3085363637752234, 0.3121070428406421, 0.317681244539634, 0.3194559001163446, 0.3216272686041182, 0.3240259849628854, 0.34152343225337906, 0.3464842095706274, 0.3498766191506127, 0.35045442348947764, 0.35070088764756285, 0.3523064276436371, 0.3548234592956335, 0.3577008162878226, 0.35994804049833923, 0.3605545447845215, 0.3632395465659847, 0.36394085683916905, 0.3658034280211766, 0.36654647683041286, 0.3751067762467112, 0.3777081841491231, 0.3780976786607777, 0.38089287663722793, 0.38405120093179584, 0.3867850694442923, 0.38737175977021915, 0.3897764521248951, 0.40020281787453, 0.4029846743674273, 0.40876058922423675, 0.4145233369530251, 0.41662185484765585, 0.4188900741667549, 0.4236080817657453, 0.4245981264894201, 0.4253492685738552, 0.42536525267738806, 0.42651559987205506, 0.42671386902191377, 0.4323508923029764, 0.43318693844571826, 0.4332579505283763, 0.4356851622491531, 0.4371525338033759, 0.43926972871029435, 0.44055198501884874, 0.44102178096599753, 0.44129369029678817, 0.44596331177786375, 0.4482819975006216, 0.44931340905675266, 0.4523286843787961, 0.4525287944320092, 0.46174420956207624, 0.4646496435963187, 0.4651570119268088, 0.468421292374651, 0.47703402660244537, 0.4790895126185056, 0.4828214220499457, 0.4852941210637446, 0.48530401370069054, 0.4875558150924754, 0.49375249243034786, 0.49856360295636615, 0.5125645377273476, 0.5126633115241058, 0.5196731591046293, 0.5197105219802375, 0.527358651009973, 0.527443782491408, 0.5302844201888823, 0.5385223126222398, 0.5395748829757048, 0.5397568048090318, 0.5427366355713877, 0.5429307328427401, 0.5440897437394939, 0.5576565613558901, 0.5598164688516997, 0.5607512577905592, 0.5674026518386731, 0.5688389997565967, 0.571083685431606, 0.5787936254663275, 0.5817240024493979, 0.5874468988257011, 0.5898166211064765, 0.5947637306203473, 0.5948842397853609, 0.5976806163655128, 0.6012420324587624, 0.6059287991955002, 0.6060779367265909, 0.6202426641091542, 0.6216963205598983, 0.6222659869039663, 0.6260949401076261, 0.6281973817667564, 0.6293711820116392, 0.6303431293096703, 0.6312965822586584, 0.6317737429069925, 0.6325504629141896, 0.6336750697517486, 0.6355365632939604, 0.6427301588575185, 0.6432728862849686, 0.6455696185369181, 0.6539206678571119, 0.654769742827971, 0.6549802856346963, 0.6573739471376303, 0.665798919997136, 0.6678128154310845, 0.6686119859054178, 0.6690024531886977, 0.6737643654565728, 0.6752074824912919, 0.6754488332413847, 0.6769571016355108, 0.6883640974624021, 0.6889656873025884, 0.6890291083032044, 0.6902903524177955, 0.6920999602187639, 0.6980440188109329, 0.7012377821187191, 0.7021992412806307, 0.7051572707280651, 0.7063943240562406, 0.7082232812518179, 0.7096757727334362, 0.7210854414097077, 0.7220793921124499, 0.7220878634354693, 0.726115138553391, 0.7268523773858981, 0.7282329229255499, 0.7295637531520143, 0.7378701071754483, 0.7412743094427462, 0.7426001403025632, 0.7451186304191899, 0.7460227879419039, 0.7463987587655168, 0.7465744194226195, 0.7484051953922647, 0.7548875105814731, 0.7587998424686153, 0.7588628259213426, 0.7645523592614701, 0.7674715710131479, 0.7689601551960276, 0.7703208373489294, 0.7740100795869325, 0.7785989637679782, 0.7808773117104383, 0.793838339116246, 0.7959381136070954, 0.7998534501568715, 0.8000850296431082, 0.8074295510926903, 0.8074781329088927, 0.8092810101279893, 0.810837765980934, 0.81188271647455, 0.813943061825253, 0.8180399826756719, 0.8192860722694068, 0.8204774256382064, 0.820981784346404, 0.8240563000116133, 0.8267578378365278, 0.8306712738263039, 0.8329854083035587, 0.8389080007307965, 0.8444355772151313, 0.8449334472179285, 0.8459828121270606, 0.8478388587528828, 0.8495526598819617, 0.8572913502116656, 0.8595291005864234, 0.8652035831271252, 0.865878822294562, 0.8675274222916796, 0.8696513396963148, 0.8698981970457329, 0.8706546259395677, 0.8805784187271903, 0.885491945232137, 0.8882913468137453, 0.8909858240728086, 0.8919426918687114, 0.9003552116714787, 0.9016288416247322, 0.902543127048827, 0.9091366036542826, 0.9122215530771437, 0.9162894079477109, 0.9196097679182516, 0.9197993364613422, 0.923220267985878, 0.9249906360801717, 0.9259697077572848, 0.9300899835000241, 0.9331412537813942, 0.9341617944765231, 0.9366836857605774, 0.936812218454736, 0.9369361169899387, 0.9388276623366206, 0.9413292236453018, 0.9422612594815182, 0.9422738634179479, 0.9433374876930617, 0.9437978431132217, 0.9487630656496389, 0.951746945187072, 0.9529523077368581, 0.9571995916673082, 0.960294822167248, 0.9605938928131843, 0.9621166786210986, 0.9663429850744095, 0.9679179167765088, 0.9681556739924227, 0.979324262043575, 0.9822097559275393, 0.9895839434986562, 0.9960443640998166, 0.9966096520315114, 0.9984852977947479, 1.007405934545576, 1.0124321976470299, 1.0128130484049136, 1.013294634924641, 1.0184568255614448, 1.0252995654670007, 1.0253225910729926, 1.0270814345718677, 1.0281365762994408, 1.0325008817977368, 1.036396488511696, 1.0387538492892057, 1.0398786246473737, 1.0407906695410647, 1.0413324515617273, 1.0424101851052359, 1.044589261564842, 1.0462034189591787, 1.046319253567643, 1.0520231431823404, 1.0562325575225113, 1.0571368290143703, 1.0578441955097668, 1.058583704183508, 1.0616696693877126, 1.065392362379506, 1.0695328383387723, 1.0752784482531688, 1.0755952980070396, 1.0767638452895227, 1.081622600653162, 1.0816727797776449, 1.0841228074171936, 1.087257331711462, 1.0901595209975299, 1.0915350812108864, 1.0964081760836346, 1.0976914689036616, 1.1012282361340897, 1.105108082577778, 1.1058735302324947, 1.1076046894355078, 1.1130227589824255, 1.1155141759030165, 1.118023154261011, 1.1229179406848027, 1.126172651866728, 1.1306777451796566, 1.130852791173885, 1.1314344385784099, 1.1323734508636145, 1.1369669309440396, 1.1469946285165333, 1.1484687710423411, 1.148480973509978, 1.153036745106424, 1.1618554421375114, 1.1692158604883631, 1.1705327676795965, 1.1708688741077027, 1.1712940152243723, 1.17429680229749, 1.176626900897651, 1.1827186657685844, 1.184163367026932, 1.187065138669377, 1.1886701237982333, 1.1914956406603674, 1.1939330271979023, 1.2005938802015612, 1.2046163789529512, 1.2052963539149504, 1.2064102519741342, 1.2066060862676258, 1.2116038496757564, 1.2167597105412544, 1.217779076998583, 1.2204201862263768, 1.2255264946761915, 1.2275060363661903, 1.241217439129067, 1.2430434727256243, 1.2433353766162087, 1.2450990593400417, 1.2565364075419767, 1.2608143058317869, 1.2613384463024637, 1.2620450018955836, 1.2645671032811394, 1.2648178736047309, 1.270542115064568, 1.2767737055400146, 1.2773381734854188, 1.2781325017304195, 1.2809852794624652, 1.2892006409689014, 1.289592108870291, 1.2932348902729618, 1.296624851781503, 1.297682317918349, 1.3017126734205158, 1.3046243389434384, 1.3062913799442688, 1.307160403560754, 1.3106557805735433, 1.3107291006668615, 1.3136462003225975, 1.3166510751634748, 1.3185348349356534, 1.3189066100513134, 1.3199590000723551, 1.3228992230376566, 1.3278393985088583, 1.3319625077569768, 1.3331345147174023, 1.3349301284174306, 1.344695890583762, 1.3465948410702522, 1.3509277930458086, 1.3512281393648367, 1.3552887491059762, 1.357003001790806, 1.3608967582989862, 1.3663818326174761, 1.3759410092870306, 1.376353062849854, 1.3765327857341625, 1.3781228519761235, 1.3796692514060322, 1.3817892175092645, 1.384410404504779, 1.3881940358377345, 1.389384586835385, 1.3936192808644523, 1.394438068516646, 1.3954693112915615, 1.3972602459472374, 1.4055370224492956, 1.4075815160134206, 1.417495897241769, 1.4187666317801735, 1.4205903190472304, 1.421791667605417, 1.4219723490993061, 1.428700603911494, 1.4296792033769974, 1.4304488189323894, 1.4307396071585545, 1.4336746388314168, 1.4407576507900783, 1.4429631099879021, 1.443296277126085, 1.4436875998255492, 1.4477839880571615, 1.4506580655397898, 1.4511358834538233, 1.452010887799536, 1.453067106539714, 1.453384094784298, 1.454072357412979, 1.4555613790311768, 1.4557630414830949, 1.4613407188886893, 1.4622658680524359, 1.4627939650052348, 1.4640280528540237, 1.4728525472744483, 1.4730552126991288, 1.473386546834811, 1.4785435709690005, 1.481756021660794, 1.4862021580990137, 1.4877524194731142, 1.4886850967787668, 1.49120800173684, 1.4925066993225105, 1.4931131129646078, 1.4983881195509963, 1.4998727589044858, 1.500187352676028, 1.5002034070230965, 1.504427198151351, 1.5082056997061357, 1.509463941782653, 1.5124332597581678, 1.514344359596843, 1.5198391551993229, 1.520008050313798, 1.5203783767977466, 1.5210918719069337, 1.5217881816702197, 1.5256259434727346, 1.5286530495779098, 1.5301213405701055, 1.5330739154473267, 1.534379148349431, 1.5351390965714236, 1.53871357019258, 1.5396080638906033, 1.5402160863195236, 1.5425146205788407, 1.5438675473971428, 1.547298577704517, 1.5473419414074518, 1.548022106473155, 1.5481638374992464, 1.555080760105346, 1.5568450227533412, 1.5579995873922179, 1.5605056478689077, 1.5621353432870535, 1.564289870389776, 1.5692227381796247, 1.5716493210401519, 1.5759833429810381, 1.5771540238534119, 1.5793781534789968, 1.5848391448226113, 1.5870443212549852, 1.5879994799129076, 1.5896378826429982, 1.5955020768848103, 1.5964140531956728, 1.5972301489608383, 1.5976296755424435, 1.5978378890801728, 1.5987005195826176, 1.6019004411620177, 1.603762624996793, 1.6138410028015229, 1.6150536378475537, 1.6176818609609978, 1.6180053503622798, 1.6238350984298362, 1.6251741782345122, 1.6267092996492956, 1.6327078655350655, 1.6353057173644578, 1.6381964831163334, 1.6395416059693528, 1.6403527082852842, 1.641016642616227, 1.6410986552756763, 1.641400526282132, 1.6420476106084396, 1.6466328185293087, 1.6507173156187143, 1.6569121307964678, 1.6570652873163998, 1.6633654101652031, 1.6647145508423613, 1.6653663440709063, 1.6659259851737849, 1.6679832873882459, 1.6702187201810146, 1.672104350685858, 1.6737555603485799, 1.6753309317928415, 1.676853409410171, 1.6782575468522982, 1.6805901483382748, 1.6826310548968286, 1.6846977365787956, 1.6850210221565534, 1.6856109600519171, 1.686319624565413, 1.6883781648828653, 1.6911600874862347, 1.693697090244779, 1.6950804776249977, 1.6977870717705754, 1.6989353800916123, 1.6989759819932024, 1.6994893303975307, 1.699838858027677, 1.703662463949828, 1.7047619375494374, 1.704920702250189, 1.70856904001948, 1.7090946712834219, 1.7100525252325227, 1.710874897996686, 1.7181618338321716, 1.7187366781906404, 1.7187481172680854, 1.7196858671333097, 1.722341681634427, 1.7229842578707046, 1.724142825163451, 1.7246448295094547, 1.727030215650873, 1.7313484271941064, 1.7318975208363716, 1.732755563681137, 1.7342863939522435, 1.734898562584969, 1.7356084850435007, 1.7369463620931433, 1.7440899814527437, 1.7452745902488593, 1.7461713221921646, 1.7468513091832232, 1.7514980589206357, 1.7548000991715742, 1.760550640938438, 1.7633716484456745, 1.7647427892304377, 1.7726033873614826, 1.7728321523038943, 1.775345508710177, 1.777212651190616, 1.7796877195539766, 1.7822132367299863, 1.782436378197734, 1.7833657122116193, 1.7862059080452086, 1.788429079964811, 1.7892463431264722, 1.7919005068634823, 1.7932486220262203, 1.793563791032111, 1.79556861618909, 1.7962727468038766, 1.798032417851236, 1.8010704813634615, 1.8021138017501936, 1.8053586830685673, 1.80545010631235, 1.8064739159425702, 1.8070929126637676, 1.807347391236881, 1.8109435597185501, 1.8129157001992549, 1.813047122411798, 1.817510928881417, 1.8192118534015642, 1.8212558629654667, 1.8224662045813016, 1.8256751475507589, 1.8282300692899656, 1.8282367261678096, 1.8286744946201299, 1.8311942643462036, 1.8314521957153953, 1.8320250984190487, 1.8336241660083017, 1.837201312482901, 1.838826523435309, 1.8394850416493096, 1.8399073468008962, 1.8402032881206616, 1.8404104813754227, 1.8432496639701075, 1.8481475313239708, 1.8497986152796397, 1.8498763850279485, 1.8533610153894642, 1.8538627485029167, 1.8544606604811573, 1.8599544291628793, 1.8604404359000368, 1.8668318209232557, 1.8672016611449476, 1.8731774944561834, 1.8735971167012095, 1.8746244669222936, 1.8757773164208604, 1.8771970674857401, 1.8772432687973142, 1.877273616683957, 1.8812621223437105, 1.8823747336423167, 1.8830471666849489, 1.8849915614973782, 1.8852921598586092, 1.887534742899549, 1.888704892604104, 1.8899072915229147, 1.8940391826404903, 1.8944262943673231, 1.8974498115220326, 1.8985177618706994, 1.8990533712229754, 1.9007445850974232, 1.9010734974342807, 1.9017883341314907, 1.9030472664741076, 1.9054806243791675, 1.90631031702884, 1.906325535152926, 1.908589313482693, 1.9108282298361277, 1.9119118011336549, 1.9177803493868706, 1.9186327871553241, 1.9197884824489866, 1.9213276784997209, 1.9224166690173976, 1.9246327296173296, 1.9296163195974416, 1.9298240010714878, 1.932277584620972, 1.9354691991177682, 1.940044351101219, 1.9404641962305045, 1.941020200796959, 1.9466241110849296, 1.9483954473537102, 1.9491270328527144, 1.9498366367398634, 1.9504381011370415, 1.9504862731435666, 1.9530927534650109, 1.9535685833991423, 1.9563243666434806, 1.9565728372729188, 1.9601118984133101, 1.9624526975919983, 1.9639049635142205, 1.9666188435978278, 1.9675862548500624, 1.969831774779207, 1.9709452035953028, 1.972735854450394, 1.9733356459992388, 1.9742753060625764, 1.9745401995801628, 1.9759913906611193, 1.9764528773272603, 1.9797794097027832, 1.9801291020982728, 1.984257099562906, 1.9845889862788832, 1.9876770445948528, 1.988911609701313, 1.989034444479216, 1.9894556367521026, 1.9899022488514777, 1.9902807151935153, 1.9927709231192767, 1.9953113303702215, 1.9958981282658004, 2.000000000000002, 2.000112193983275, 2.0016674732258832, 2.0026713764679447, 2.002881848725203, 2.004440642322176, 2.004549769017771, 2.005583964456283, 2.0060526139247634, 2.007817564286826, 2.0085851799406576, 2.009023640434842, 2.0090753445694696, 2.010885564404017, 2.012368570946955, 2.012822800229013, 2.0151195979902936, 2.016126781818439, 2.0175373009972715, 2.017585084802432, 2.0185195977690835, 2.018604613332366, 2.0198702628168657, 2.0200017166540025, 2.0215907168397163, 2.0221485900317546, 2.022756296862377, 2.022885624245793, 2.0245698008040427, 2.0262959298350665, 2.0270235653556172, 2.0270876274364116, 2.0272742824159886, 2.029003660208693, 2.0303461911282237, 2.0311810119814018, 2.0315156279173627, 2.0322927037908793, 2.03331917272408, 2.0335917407151514, 2.034127011249279, 2.034362477477809, 2.0343641596692357, 2.0349995878458786, 2.035566685945226, 2.035846027408663, 2.035962648297428, 2.037031346787651, 2.037201425851946, 2.0382267788407846, 2.0397006621400497, 2.0406035902011443, 2.040679212587952, 2.043147952754202, 2.0443409131598047, 2.0450068191292488, 2.0450564255571244, 2.045642478512053, 2.0461348830602084, 2.0461810974998293, 2.0478734158481737, 2.048010001833156, 2.0490715192056266, 2.0501046567522847, 2.050428065853565, 2.0506041387165665, 2.051805286348827, 2.05278257829133, 2.0530543969207162, 2.0531131003746843, 2.0547037765498826, 2.055447682799078, 2.0569356178476315, 2.0571315875886045, 2.0573220644842407, 2.0596878308986013, 2.0602326216668336, 2.061018141122674, 2.06146237977797, 2.062279705520419, 2.0629131063386277, 2.0637408901833036, 2.065733586933918, 2.066198386533981, 2.0667404123070647, 2.067131984373252, 2.0673409219043624, 2.0681253493098963, 2.068129771762338, 2.068581213098893, 2.06889626932074, 2.0701256261214294, 2.070709754733537, 2.071621449775496, 2.0738605937722006, 2.0738908012566104, 2.0745368796385804, 2.075592233883488, 2.0762251310935906, 2.076536935381279, 2.0766348243562027, 2.0766418508871265, 2.076820528905898, 2.080652776862408, 2.0809020191985454, 2.0816900763758808, 2.0833105924222353, 2.084219051893, 2.08478747841398, 2.085352425747545, 2.0868017947949458, 2.0881230346858253, 2.0883529753883887, 2.0901899364007344, 2.090762352158404, 2.091512528090021, 2.091955825525023, 2.0944253939518545, 2.0950022486243127, 2.095199846112186, 2.0956124306715758, 2.0976049234535936, 2.0978303624518317, 2.0989299946512503, 2.0996351763729453, 2.1008552235320637, 2.100968892168012, 2.104506573244774, 2.1059520417793287, 2.106320513978965, 2.107212721460674, 2.108308016440479, 2.110993971869239, 2.1149019214795053, 2.1158371439036907, 2.1185727433196506, 2.1189074406573205, 2.1214810050860304, 2.1227899999664626, 2.1230358864764436, 2.1246180179420064, 2.127663858375222, 2.1293096538803673, 2.12956472526198, 2.1304874174554307, 2.1321148222459994, 2.1323916431634706, 2.132408265827603, 2.1349059807741626, 2.1359499661308865, 2.13654601379429, 2.1377283878672473, 2.1390008526565087, 2.1394894875066184, 2.1405575485329718, 2.142760019595198, 2.1443086162651532, 2.146012421517215, 2.1464247525379694, 2.148395333411421, 2.1501762213167424, 2.1505841550573637, 2.150630444833474, 2.154004185272068, 2.1540823356031744, 2.155210050428852, 2.1561574349947237, 2.156404457205858, 2.1583806085995136, 2.1585969165654295, 2.1589096078140626, 2.1593838406929544, 2.1622911114367116, 2.165327531917777, 2.167665471613738, 2.1695904340576657, 2.1699822609727226, 2.1702703785090436, 2.172684113164789, 2.1735048398170362, 2.1744672100801656, 2.1745980719492115, 2.1771167849456674, 2.1779722437570648, 2.1799292580461294, 2.180888378983079, 2.181468511943373, 2.1822637499988913, 2.1880243731671682, 2.190968460288551, 2.191890757764613, 2.194360154916652, 2.1949305890304656, 2.197138618252544, 2.198695124728211, 2.1989919074554476, 2.2022166155480587, 2.2042554792774265, 2.2115602263672813, 2.2129354127261838, 2.2137741812969844, 2.2159800245290002, 2.222965259204182, 2.225569894564677, 2.2301762137317134, 2.232270553226539, 2.23401210110624, 2.2359380246616936, 2.2393778492000935, 2.239995358398752, 2.2417174502766377, 2.2441883378706526, 2.245715250547155, 2.2524426928344097, 2.256197860592015, 2.2581923309780794, 2.2595654596768844, 2.2604044239301486, 2.2653001305781513, 2.266510883563112, 2.2678720262503678, 2.2732098094239115, 2.274700276361075, 2.2791320703556335, 2.2796411176406517, 2.281736876302366, 2.2852931809887713, 2.2860829378942897, 2.289511959961306, 2.2897592035174616, 2.294660969011239, 2.2956629315288057, 2.300614411191237, 2.3011558947635904, 2.3014700006447315, 2.305154129707693, 2.3064439716553253, 2.3076231375799936, 2.308860976360848, 2.3100004849265785, 2.3125019791259227, 2.3182975743032417, 2.325390991666257, 2.3293356571308057, 2.3318409865138654, 2.3320686964088977, 2.3349910955962274, 2.3373806090975684, 2.337628376002105, 2.3397753909461745, 2.3406756724591573, 2.347281279828398, 2.3488769196757655, 2.3502926973162395, 2.352449190851795, 2.3557383127778557, 2.3562683405023663, 2.356318349293753, 2.358616527734587, 2.3615589866184323, 2.364080639488565, 2.3675780849453685, 2.367679332413151, 2.3691284037526477, 2.3710811079644816, 2.374368094906521, 2.3775087317884163, 2.3776740952549673, 2.380041455497304, 2.3833566923367475, 2.386224084632201, 2.3865102042412962, 2.393676705159041, 2.398826753092044, 2.3998390844895994, 2.400520484977464, 2.4010100563865118, 2.402083685513502, 2.4084963608067005, 2.410035070246486, 2.4198510495922068, 2.4212824300961473, 2.4297021826616545, 2.435100364774015, 2.438465844479524, 2.440215413748016, 2.4426901612718153, 2.442836320366994, 2.4444071938483933, 2.445606872675554, 2.4508636219056474, 2.4563474365213476, 2.456609837114483, 2.4643339457791003, 2.4684281883042205, 2.4695676758231304, 2.4711384521814925, 2.471881111127458, 2.4725422085412037, 2.4749541233506105, 2.4777993754541576, 2.479138061278462, 2.479305711228605, 2.479707673557946, 2.4853443240279476, 2.4975702960880253, 2.4983207883000103, 2.507804683273393, 2.5080276181624335, 2.5126628661756816, 2.515339808580583, 2.5169285874871052, 2.5253320741996927, 2.528216649075148, 2.5324169251928175, 2.533527725232541, 2.534036702893287, 2.544888058360061, 2.5475996949178827, 2.549852706029271, 2.553419503109801, 2.558648095499367, 2.558820944835525, 2.5624195579316678, 2.5651077136240756, 2.5775312370968835, 2.577870972978459, 2.582148619988152, 2.5824137579376347, 2.587031404163753, 2.588423948332708, 2.597298599054898, 2.5981728380329954, 2.6020505546811266, 2.603298638022887, 2.605091519137611, 2.60626429216382, 2.6064251214287406, 2.613376340218519, 2.6144928496093907, 2.6152190472778303, 2.6288721966409176, 2.6309141841521497, 2.6332711670737106, 2.636877325959358, 2.643013066068201, 2.646531666553409, 2.6524075586299687, 2.657284908768242, 2.661821100607408, 2.666355565037286, 2.671434316177297, 2.6730415156118283, 2.6737342779018425, 2.676607003722539, 2.6767806585294633, 2.678721292269942, 2.692667930798261, 2.6937760360592278, 2.6941990508211737, 2.701452182378891, 2.7022189334875346, 2.7031054424445076, 2.7073919113586493, 2.7089552694579773, 2.7100165979880977, 2.7118815261883302, 2.7136881407242344, 2.721173425089368, 2.7269234746985034, 2.731134869991858, 2.734141408329794, 2.734418540799152, 2.7358198094382074, 2.7394769806578747, 2.7400493643380575, 2.7410330075088605, 2.7452421681977603, 2.745478994909016, 2.746007893198996, 2.7476495948236606, 2.7493980360481682, 2.750208242734838, 2.7518402641665665, 2.752080865615767, 2.752369298455527, 2.7531600670144196, 2.7575293757240464, 2.7592661470007824, 2.7594058166138535, 2.7636883494365607, 2.7645023691723236, 2.765473025069264, 2.7660988473115786, 2.7678158076853925, 2.7693096565041726, 2.77085445310232, 2.771638941176425, 2.7745388075802335, 2.778518983652806, 2.77856692052047, 2.7788702187851406, 2.779853560601404, 2.7814400926854566, 2.781772100750956, 2.7821926888581037, 2.784181815078969, 2.7843986495661244, 2.7857242860836067, 2.786625076800092, 2.787654037987256, 2.7876669733338275, 2.788104860417977, 2.790102846476755, 2.791503760748054, 2.7924401264577736, 2.793322999599387, 2.7954508134376845, 2.799963923408082, 2.800212584297805, 2.8005045282659426, 2.8017129559576173, 2.804525777695108, 2.804744149903816, 2.8096903714889465, 2.811279467382634, 2.811923985725905, 2.8136370087654154, 2.814211764909896, 2.81995406127936, 2.8212355633187527, 2.822294801778698, 2.822516196073336, 2.8232028664801274, 2.823829511484707, 2.824852880304028, 2.8253070707896613, 2.829920063931831, 2.8328363953380955, 2.8335999512269052, 2.834477932933637, 2.8383740477335917, 2.8392775998394417, 2.8396605953410834, 2.840544094610877, 2.8406725320572535, 2.841921486428756, 2.8423924297106566, 2.8429017782045056, 2.8442638991253277, 2.8453551652416555, 2.848432959571362, 2.849494576836524, 2.8518977565449894, 2.852280131458335, 2.8530208553238166, 2.8571068436859757, 2.8587227086350673, 2.8590310491419166, 2.8604702779158315, 2.8649975280791917, 2.865459312820216, 2.8662906459635296, 2.8674943690564394, 2.8691533230776107, 2.870934543074392, 2.8721539555111604, 2.8736650620602258, 2.8769129071598996, 2.8774416364071183, 2.8792065340234765, 2.8831201144047345, 2.885500665571629, 2.886561585999903, 2.8875611207044067, 2.8876869227387205, 2.8886259875183224, 2.8915738489020812, 2.8950543171114833, 2.895296366939871, 2.895398278257335, 2.89607022089424, 2.896662575679788, 2.897567343403244, 2.9025862880165, 2.9043368639793004, 2.9085602853203607, 2.9140714356107327, 2.9148234903391947, 2.9154138044079527, 2.918457244888726, 2.9222787314154477, 2.923460212960441, 2.9239579587366022, 2.926373125116416, 2.9277779556397414, 2.931532648934913, 2.933643935209523, 2.9350396751226677, 2.935998111084717, 2.936360516544083, 2.9394142275721205, 2.9400830563181186, 2.941355099923779, 2.941647630368297, 2.9454899178594007, 2.9478056583628054, 2.9489204875660824, 2.9500631331230527, 2.951102314750604, 2.951608768546724, 2.9538827239415886, 2.9549693748973422, 2.955381589755618, 2.9554095164688943, 2.956843616232072, 2.958186778442995, 2.9589030489241392, 2.9614096453421164, 2.9615009702630006, 2.9628642560615814, 2.9634253696900377, 2.9642845573855756, 2.9649233336175365, 2.9649483460750705, 2.965282260712299, 2.967873857291691, 2.9693412820551117, 2.969960742943815, 2.970375015938326, 2.9707672898366875, 2.9720420478438463, 2.9724686406849385, 2.973999523499954, 2.974101338624461, 2.9758418259768056, 2.976749715661283, 2.9779433863360283, 2.979488897583973, 2.983100126264946, 2.9844052102268828, 2.9867181519229105, 2.987618642121288, 2.9887887752674267, 2.989034316474843, 2.989054144635809, 2.9893326745502207, 2.9901039268080587, 2.9917445559809783, 2.99245774604218, 2.9929353344080623, 2.993247507184884, 2.993295211810732, 2.9944307922961766, 2.9953646254410016, 2.9963546490272135, 2.9968016097645127, 2.9979877512202027, 2.998358431421727, 2.999171236692629, 2.999556935417467, 3.001231554167384, 3.0017441033504806, 3.003360110101673, 3.004370980297687, 3.004836682932015, 3.004877356974868, 3.0056145254546656, 3.0061368120646534, 3.007767414957474, 3.0090766231610684, 3.009286452605479, 3.0100151636614445, 3.0105360910211343, 3.0127309481591666, 3.012911183336941, 3.014121161469335, 3.0160421064838188, 3.0173901245732986, 3.0200809519074285, 3.0207160597254865, 3.0210656843652406, 3.0225039849246182, 3.0225823304012365, 3.0229428841490122, 3.0239067932334787, 3.024031474199612, 3.0267097639729656, 3.029584571935321, 3.032485566275635, 3.032770473280503, 3.03675852078489, 3.0374013228131402, 3.0377662074534735, 3.0377842150064693, 3.0391932108877913, 3.039724876541866, 3.0397315861122, 3.0405555694363517, 3.041184635205882, 3.042395055786765, 3.044262631374543, 3.044902857490649, 3.047425225476051, 3.0487379378662762, 3.048914604878406, 3.0489256676877874, 3.050507726039206, 3.051216173403212, 3.052867021845151, 3.0530853321424467, 3.054550498631529, 3.0556273812491064, 3.0564911842554126, 3.059336855057848, 3.0598026261982305, 3.060612483523032, 3.0644836618923685, 3.065201140243904, 3.06529036102808, 3.065885837472514, 3.067480772284623, 3.0714950816318956, 3.0729264448278593, 3.075073466917886, 3.0757527699980276, 3.0783090375371507, 3.0797328867586753, 3.0800306282068886, 3.0804913127804423, 3.0815944600442675, 3.0817677384281708, 3.081984182055497, 3.083441354387079, 3.08364927855836, 3.084166903039944, 3.0859200488979055, 3.0867947343846955, 3.0873146584119717, 3.088248989220758, 3.089290864529063, 3.0897498136099935, 3.0930737374958484, 3.093256972050348, 3.0935757707065377, 3.094072030671307, 3.0973882503857495, 3.0976936494667076, 3.0978261703767926, 3.0984466835477735, 3.0988512031395072, 3.0993745884903823, 3.1012234310163267, 3.1045346443767308, 3.1086259001216257, 3.1099295582834485, 3.1100496277889724, 3.1100744831978386, 3.1117009370728654, 3.112664632823445, 3.113043178212139, 3.115193275368996, 3.1154010003708765, 3.117324752432584, 3.1191441066523713, 3.1207032820933565, 3.1210406905028094, 3.1221889159868654, 3.1242926146368384, 3.128753793105633, 3.1288127082159063, 3.1304274530261615, 3.1319687386865627, 3.1326873055074387, 3.136873389551813, 3.137585306379643, 3.138222194080935, 3.138903529294384, 3.1408512933988506, 3.1413984004111524, 3.1423368443904716, 3.143400960148505, 3.1435750858680005, 3.145663283804275, 3.146084488078003, 3.1469836469186814, 3.1487874410243877, 3.148975701929616, 3.1491210281835538, 3.1511685124722644, 3.152149267335015, 3.1530085067565055, 3.1530443009052416, 3.1543543308965605, 3.1585431573427383, 3.161262054132343, 3.162167749836358, 3.1628336507444113, 3.1635936537342797, 3.1658586248896574, 3.1668419459401194, 3.1672261076414494, 3.170044226220821, 3.1718970540838782, 3.1719601365665713, 3.173949265704811, 3.1772975831179604, 3.1779598104815086, 3.1793077641693466, 3.1797425755483935, 3.181014470698201, 3.182418540982466, 3.182682020736326, 3.1828056039827293, 3.183914840890421, 3.1839265667230836, 3.1845459280689044, 3.185818050357338, 3.1869612269144816, 3.1883381784342535, 3.1905208785483885, 3.1915874152387347, 3.1916074609333602, 3.1931568515267634, 3.194989788220622, 3.196346147684543, 3.1967564560567223, 3.1967584713838115, 3.1991010686283423, 3.2005095297291137, 3.2008908210276577, 3.20340720793064, 3.2034318746714043, 3.2036655344379135, 3.2040800475689757, 3.2052481790763254, 3.2053433363878354, 3.2056842700278567, 3.2065111507625867, 3.2068374617262285, 3.2082667532902973, 3.2085084148920866, 3.2096947809004903, 3.2110815491004665, 3.211648624880113, 3.2145713881013864, 3.2146933155312496, 3.216701406266028, 3.2169763566538148, 3.217368990748361, 3.219627549655721, 3.2201963220447762, 3.2204428456993455, 3.2205922904397917, 3.2215871193667893, 3.2229987796418658, 3.2238465703024897, 3.223943797077416, 3.2247099130386143, 3.2247186392919365, 3.225806790911805, 3.226053423430162, 3.2268103241551387, 3.2269726383115724, 3.2274112637655366, 3.2277042862305745, 3.2279644809867163, 3.228485954609911, 3.228995718324664, 3.2291594833667188, 3.231454454616043, 3.2322084891150933, 3.2347724099412, 3.234951980764324, 3.235669853768784, 3.2368699784764368, 3.2373720049623853, 3.2375040462350544, 3.2376060009527663, 3.238555741007009, 3.239601128672019, 3.239781133395394, 3.240364698693152, 3.244186116832482, 3.2453126005108195, 3.2462297125330974, 3.2465486732000373, 3.2479368323764346, 3.248247307402487, 3.2484802701458912, 3.2486775854887613, 3.2524629464040204, 3.2530358145871174, 3.2542379177219622, 3.2557611661707315, 3.2560727865332275, 3.257556964029002, 3.260077334296304, 3.260558241930217, 3.264187307248084, 3.2651566659686715, 3.267301902091985, 3.2674045885195153, 3.267626293921973, 3.2685807877908175, 3.2689348886002154, 3.269312656104726, 3.2731555738576823, 3.2740747339963683, 3.2747861966689733, 3.275661315554668, 3.2759934941570985, 3.2769489278998254, 3.2775089101858645, 3.278768073344921, 3.281577228501311, 3.28186095453226, 3.2833899635506216, 3.285107728926272, 3.285292455430672, 3.2857470920875445, 3.2868736935084266, 3.2879956069435345, 3.28855445072756, 3.289462196153305, 3.2921644530295895, 3.2927278287098556, 3.2930250019737617, 3.294222329969707, 3.295336325991657, 3.2957592472297756, 3.2962569435828986, 3.2966305309387796, 3.2967151072394114, 3.297718227817413, 3.2977513497203357, 3.299249619957994, 3.3007307992167108, 3.3014205501401026, 3.3022362886902794, 3.303050478457969, 3.303632724136265, 3.3057087223102317, 3.307001497878542, 3.3073511757171694, 3.3076636304796065, 3.308068968374484, 3.309705123144971, 3.311585054198421, 3.312062296247134, 3.312176417671121, 3.3133603455129683, 3.313473067586183, 3.3149604316509533, 3.315000614697534, 3.3150978519522822, 3.319578749258906, 3.3198442359252534, 3.320871556177234, 3.321032999401406, 3.3216458656273606, 3.323076000682707, 3.3231097491457815, 3.3236229311997403, 3.3273918765108537, 3.327497807245301, 3.331255748818373, 3.333190908136634, 3.3332267815919723, 3.335395532214951, 3.336049163900622, 3.3364214532650833, 3.337982925236039, 3.3382853736870057, 3.3389963937108704, 3.3396726993151686, 3.340040396453324, 3.3421052303569474, 3.342644849480806, 3.3435253941834495, 3.3461709255311045, 3.3468961235502452, 3.3474497789424387, 3.3477389895133083, 3.3494023222095977, 3.3494828342858347, 3.3502235362456605, 3.352930159182882, 3.353657557727074, 3.354926307873443, 3.355884183767452, 3.3564560522276743, 3.357060162213937, 3.3578613875930388, 3.3588726453387774, 3.3601349862461287, 3.3604940147545173, 3.3616788571988336, 3.363218409220756, 3.363355968213532, 3.3653588201487303, 3.366708752540361, 3.3669318112681133, 3.367132115175646, 3.367257472894388, 3.3675282299733937, 3.367825703458914, 3.368081419224717, 3.3687505283096, 3.3709247794763817, 3.371859832083905, 3.3718998950430246, 3.3726555695765694, 3.3739490075620133, 3.3761182540999153, 3.3780534472461996, 3.378903562200581, 3.3795355279216595, 3.3799986203840438, 3.38010749685888, 3.3818206530757466, 3.383172296402247, 3.383974764448265, 3.386159307526574, 3.3864887277251525, 3.3871170494748903, 3.3890759304887195, 3.3894029555016543, 3.389868520541072, 3.390039408145866, 3.3919827393919353, 3.393488197461608, 3.3937702403656576, 3.396106578352832, 3.396619829095728, 3.3980747177966077, 3.3988590976027093, 3.398925419056472, 3.400093989539176, 3.4019332163466762, 3.4046389722235113, 3.405263275022105, 3.4057891874011705, 3.4064602950681167, 3.4065264508470836, 3.4071575017100897, 3.4085620296393744, 3.410833458341559, 3.41129402457996, 3.4121696530840975, 3.4132618937560473, 3.4136785772134584, 3.4137604234936068, 3.4144565368733826, 3.41569016732085, 3.4184280139866527, 3.419451492632769, 3.421164455107617, 3.4212500004408044, 3.4218362355366954, 3.4223367656295225, 3.42373872675486, 3.4256733877145122, 3.426741778610069, 3.4269614166569253, 3.427253206066094, 3.4282657626289885, 3.428389042010885, 3.428681562911451, 3.429886691449776, 3.429961344840126, 3.4307271878177907, 3.432910278614251, 3.433486054267847, 3.43752925265527, 3.4377559139548195, 3.4391119357360096, 3.439847573635406, 3.440004078199335, 3.440699105465697, 3.443511428814203, 3.445577746647758, 3.445772335808521, 3.445999913453193, 3.4486366636221835, 3.4513414292487488, 3.451722357697745, 3.453897418923642, 3.455153460905034, 3.457662963910973, 3.4591300872732815, 3.4600573259353693, 3.460909320571943, 3.461876130840676, 3.462154536120713, 3.467874632108142, 3.4685853067123595, 3.469210100972798, 3.4711342866825166, 3.4735529485198295, 3.474138456824757, 3.4743145153628774, 3.476174623522999, 3.4787548814069766, 3.4799653913195856, 3.481564042405541, 3.4843954949785796, 3.4875341153310604, 3.487617817143634, 3.490938342411125, 3.491531877525162, 3.4949669461478594, 3.4955033292174527, 3.498045621308602, 3.498394204743931, 3.5019189042334893, 3.50321902835008, 3.503805205779466, 3.506277105356547, 3.5092643380794013, 3.5102160485971488, 3.5117428909152024, 3.5118347753210726, 3.5132719939914065, 3.513617073742989, 3.513824948373534, 3.515013571707317, 3.5150907288071895, 3.5155351637432215, 3.5169105959766727, 3.51878197657116, 3.5205971769634674, 3.521257589333845, 3.5240675027250146, 3.525792721645686, 3.5273875196116897, 3.527956784251949, 3.531324094548097, 3.5319866699081706, 3.533304951035444, 3.5351274052521378, 3.5361416364590403, 3.5364293175305592, 3.538639463023005, 3.540166139540105, 3.540731496327482, 3.5420631550337696, 3.544842225939549, 3.5493836264047984, 3.549726328063397, 3.550873982408685, 3.552043968243301, 3.552263277151368, 3.5524420268321792, 3.552830277945992, 3.5535247564405887, 3.554377000649068, 3.5545857842634745, 3.5560352332849066, 3.557625234977159, 3.5583916991579083, 3.5613871083111603, 3.562617811572809, 3.5629763447240017, 3.564143084277738, 3.5650277031066113, 3.5655806398744683, 3.568005910735721, 3.5681761055122156, 3.568685565438366, 3.5703651683039763, 3.5720335646981773, 3.5734446730369203, 3.5734679964680525, 3.5746565628323363, 3.5749704007566545, 3.5753183619737277, 3.5759948996898605, 3.577714131814585, 3.578726023803196, 3.579018155659396, 3.5812801671063537, 3.58331614067505, 3.5850125838012885, 3.586906208000013, 3.587469280799405, 3.589638318748864, 3.590907191635135, 3.5918172142655793, 3.5928368156739476, 3.5946989202523807, 3.5967115810628676, 3.598637821171822, 3.5995857940280747, 3.600176301520001, 3.600514893076782, 3.6038521732301807, 3.6059207684713224, 3.6062564021956054, 3.6080698316395603, 3.610623052488285, 3.6113338017674432, 3.6128004640545206, 3.614708026210629, 3.615710779100192, 3.615836389944262, 3.6161477402846756, 3.6164949952876695, 3.6202410427093663, 3.622492855543246, 3.6244552065791806, 3.629720836513042, 3.6308693411443467, 3.6322043290655346, 3.6322493089710024, 3.637021049450988, 3.6404570331293806, 3.6404836161383125, 3.641491066617333, 3.6415414987839823, 3.6418273930005687, 3.643610908843648, 3.6446815620122486, 3.645308584850518, 3.6467931469957993, 3.6480167916281023, 3.6481786293440415, 3.649205847464523, 3.650034528882593, 3.6509898510761603, 3.651250874228083, 3.652417105345257, 3.6550341655845946, 3.6556686538451655, 3.6560073924264054, 3.6571838838344237, 3.6572648356624824, 3.6576864083674336, 3.657924240412008, 3.661378756622484, 3.6622165443402905, 3.662456464628145, 3.663312591691923, 3.663459024915473, 3.664896736392374, 3.666216999434945, 3.6692638565506805, 3.6697755267358305, 3.670338458586887, 3.673062697078557, 3.675283811042887, 3.679215227627294, 3.67999355481938, 3.6803323510382584, 3.6818276582267537, 3.6819633127421407, 3.682656984196226, 3.6833598378192542, 3.6845354875464515, 3.6846733015622344, 3.6851038593171386, 3.6868938638879722, 3.687579754783749, 3.689959233337122, 3.6904022802208494, 3.6945098887140086, 3.6954187984333995, 3.6979991148208256, 3.6981942424211773, 3.6988826104430927, 3.6990383765223327, 3.7025411503561303, 3.704635951006165, 3.704714370223986, 3.704803068170301, 3.705834019167295, 3.7065461787381087, 3.707178865838989, 3.7076647750997993, 3.7103058983587456, 3.711076721008975, 3.712796891212845, 3.7132584927372663, 3.71385080471322, 3.714807447733065, 3.717071609366927, 3.719770496810437, 3.719827754157464, 3.7202335757226614, 3.7208402843728354, 3.7217874032347193, 3.7222430925844003, 3.724415130384097, 3.724997252768873, 3.725102231435721, 3.725121744461176, 3.7281014066915983, 3.7282534763050483, 3.7283044778764083, 3.7308856932385184, 3.7323158218436294, 3.7328000151132668, 3.7348101755114556, 3.7378959755664587, 3.7385742397827544, 3.7390102613283145, 3.7391887962971504, 3.7401634194708815, 3.7421623047626293, 3.7433598534849213, 3.7442035658127644, 3.7462240059751015, 3.7476747625248197, 3.7485315303294815, 3.7494781615546953, 3.7495321009717446, 3.7498881956902004, 3.7519537073121803, 3.754346971632907, 3.7544348385380166, 3.756751438851313, 3.757172018383788, 3.75817703588604, 3.7586888192160903, 3.758921642179013, 3.7610471589592342, 3.762375541646922, 3.7636329962572233, 3.7654260654511624, 3.7654773804389894, 3.766850512164983, 3.7668583454547497, 3.7674440964709346, 3.7717843936758992, 3.772685081995749, 3.773408051098426, 3.7745163075608774, 3.776525722413051, 3.7773724615252444, 3.777624202684533, 3.779294662018114, 3.7819548048970555, 3.7821244652638324, 3.784216288294454, 3.784539580846288, 3.7861377044286733, 3.7865802189363715, 3.7868119570979277, 3.787905236335254, 3.7891413581117726, 3.7900163100265085, 3.7908646940051662, 3.792821627699665, 3.7947528602743663, 3.7959159230348436, 3.8000227085375906, 3.8000487532310094, 3.801432368694854, 3.80222028468462, 3.8033148853873087, 3.804165135229515, 3.8051107633814554, 3.8052539672780576, 3.8104246049263555, 3.8109896772372194, 3.8124524293902415, 3.813472949748515, 3.814898092277527, 3.816409973283089, 3.8199506305305015, 3.8202535980367114, 3.821353576109826, 3.821849866025746, 3.824444548349895, 3.828216171089411, 3.828716718890626, 3.8325782895163854, 3.835184042741549, 3.8419022124985016, 3.8433867693322794, 3.843871044922656, 3.844405486942979, 3.848522782943561, 3.8488014830734834, 3.8489897867872305, 3.8519722213137615, 3.8531136570349993, 3.853683917041931, 3.853953855450309, 3.8589716299001284, 3.860875350428388, 3.8626643123271838, 3.8666011055693335, 3.8703922917569313, 3.8738223828880542, 3.873936023807278, 3.8743541115539317, 3.883909658755905, 3.8848053118962165, 3.8869433064927725, 3.8883522677659887, 3.888970708574967, 3.889199946606938, 3.8967200268324045, 3.896941106347496, 3.897901818657448, 3.899378119538021, 3.9033285409092113, 3.9045874664423055, 3.9097568609050484, 3.9099233506020803, 3.910441588841687, 3.911860159426834, 3.913634947467661, 3.915334803522229, 3.9169762037759455, 3.9181807410037464, 3.919031580408167, 3.9284258612429936, 3.9324209645445203, 3.9341430278395135, 3.9375097201166858, 3.9407717265275726, 3.940944445670818, 3.942893878400619, 3.948847780133268, 3.9500533734109595, 3.954964864437745, 3.955055506186054, 3.9576522479139564, 3.9608899675106897, 3.9614157276989137, 3.963943836038233, 3.9643708338187316, 3.9663084476748813, 3.9679545070466844, 3.968576838553689, 3.971497647777315, 3.9719103789692003, 3.9721482851095375, 3.978576701090141, 3.9840761358325563, 3.9845838966094482, 3.9860479842204506, 3.9875349862058957, 3.9881010583901753, 3.988313232414891, 3.9905104516497514, 3.99256903652137, 3.9937093128380954, 3.9953171551102433, 3.9969308065549964, 3.9978453002205794, 4.000000000000007, 4.005308774241287, 4.007660061222739, 4.009567349455462, 4.019722676770521, 4.021223350836684, 4.022247107777106, 4.024992758392961, 4.025292370142861, 4.026578981502157, 4.027989801940724, 4.030232260127542, 4.031873019835468, 4.034982729175491, 4.036334546852749, 4.037751879166586, 4.040218933934018, 4.041007054983223, 4.041919577720969, 4.045173355873242, 4.045327933040646, 4.046646308224525, 4.048973210897684, 4.05341353679278, 4.054378583515576, 4.057470780327956, 4.060830602809699, 4.066330058191945, 4.067329056159029, 4.068380188012204, 4.070485738017072, 4.070898329995854, 4.076475599565021, 4.0768830840767025, 4.077801862517158, 4.082845618162794, 4.083288429407116, 4.0852919541066965, 4.086385928539127, 4.086693591263573, 4.09075823943759, 4.0938616604356755, 4.094169587658453, 4.094824279808988, 4.0986608566708425, 4.099479582133485, 4.1023691923014685, 4.103182067905678, 4.103429412822494, 4.106982820219133, 4.107138540218607, 4.113409547004485, 4.116185264725758, 4.117806967699356, 4.118871487101609, 4.120366117450476, 4.123190542939283, 4.1266884509117565, 4.129320410091415, 4.1301840464712045, 4.132209015943127, 4.132836170029766, 4.134894683003213, 4.135292251047351, 4.137376227238261, 4.138755621597678, 4.139549002477532, 4.140834771170988, 4.145468001242635, 4.149749340710865, 4.153443451987401, 4.162696725690567, 4.162951428276917, 4.171916884882631, 4.1760097973208214, 4.180331040965057, 4.19134834883807, 4.193386245757768, 4.196862601706836, 4.199538297380579, 4.199969074741798, 4.20059274399293, 4.201274143579931, 4.202452683468165, 4.203977254468865, 4.204477534302307, 4.205602080668282, 4.2079984344762, 4.208096477653753, 4.211063036909801, 4.211977870464187, 4.2126184642641915, 4.213035495067229, 4.220090689919113, 4.226442613567936, 4.228480933943476, 4.228932786282111, 4.235556965705589, 4.242076558989069, 4.242478748919709, 4.246637519054843, 4.2476948932462255, 4.249065867522738, 4.249632828910048, 4.251918009928384, 4.256815639438355, 4.259354757164868, 4.265542092700332, 4.266816842802696, 4.2687853175331885, 4.270456140201565, 4.273397852081732, 4.273551104055823, 4.277015122906857, 4.279144712402453, 4.280198508417304, 4.280459814350783, 4.282563674552855, 4.2842379158378385, 4.288173162440022, 4.2883249759705935, 4.288492096562261, 4.291708543197717, 4.294311693754183, 4.295026813364544, 4.295991839498588, 4.296859884641774, 4.297785428479503, 4.302561922946253, 4.30415962265376, 4.30461816097639, 4.305623182584816, 4.30602895079921, 4.307707601985054, 4.30782750230162, 4.308012587972083, 4.309347104311845, 4.312329090159891, 4.312449651317085, 4.317609553867737, 4.318689063334946, 4.3207909182560424, 4.3212434746660255, 4.322145594107325, 4.322218849060059, 4.322836410357472, 4.325473574943982, 4.327414185965688, 4.32763726942591, 4.329593315422956, 4.329676846516773, 4.331781551820376, 4.333149533987809, 4.333819111084409, 4.335778474251829, 4.335790529436973, 4.3366346247672105, 4.341222610693981, 4.343103257153472, 4.346773285810738, 4.34704402179372, 4.348237994012968, 4.348687372745636, 4.355546124944512, 4.355884512034576, 4.355950582940379, 4.356304853718317, 4.356411185273908, 4.358824406883996, 4.3597434871152085, 4.360464289751444, 4.364161556030827, 4.365864476185496, 4.3659277951603475, 4.369058257318696, 4.371598836544166, 4.373753671905655, 4.374247251025918, 4.376301670610795, 4.376692646846042, 4.381691977447764, 4.382330336457804, 4.383838229334319, 4.387099921106757, 4.3897600578223965, 4.3907913998792845, 4.391981825770806, 4.392270057932606, 4.393762855716935, 4.3960121677292054, 4.396321938611514, 4.398118794258251, 4.39973225708959, 4.400454417841994, 4.401183659746543, 4.401943662672569, 4.404941574907599, 4.405517380692969, 4.40600706918586, 4.409342768268047, 4.410269169699958, 4.410992325217341, 4.413618212956671, 4.414868960414491, 4.416164679957041, 4.417789182634659, 4.418118924104563, 4.4207385512277835, 4.42498254660217, 4.426851957837707, 4.428446594003561, 4.430785524594763, 4.432146614013616, 4.432549836090007, 4.433171692800656, 4.433292607227236, 4.4347195256914915, 4.43626816704832, 4.437322797890644, 4.43752337107235, 4.440043068617849, 4.441437505958369, 4.443442517646382, 4.4455085252857245, 4.446215857580263, 4.447919208621147, 4.449367929859422, 4.450545925517094, 4.450691058615215, 4.451649262782838, 4.451769906927219, 4.452571054605732, 4.4538213571069845, 4.455297117568051, 4.456177095148905, 4.46139847799574, 4.461414623807346, 4.463794524684053, 4.465853530005757, 4.4661397908413445, 4.466523533777408, 4.467353965435994, 4.468116279362261, 4.469060952979641, 4.469239874336197, 4.470467160395228, 4.472605544907164, 4.473231005603952, 4.474711369014091, 4.475374231545703, 4.4760840671706905, 4.477252941424738, 4.4781902647485206, 4.480280257834712, 4.480935726263485, 4.481083625440692, 4.482313791533209, 4.482680941086264, 4.486041907416341, 4.486163128831122, 4.486325764036079, 4.488631016743285, 4.489029750012817, 4.4890439055282325, 4.490059154685592, 4.490789863960634, 4.494318161847819, 4.500862229801261, 4.500943781261763, 4.501833472581955, 4.502159357365278, 4.502696488935607, 4.504665195659855, 4.5050368377998975, 4.505222242968984, 4.507780904895366, 4.5087791390104295, 4.5088030303556135, 4.5097710069677435, 4.511334861142405, 4.514132002095868, 4.515376341316835, 4.515580512839254, 4.516727284946204, 4.5175517541677355, 4.519276249775848, 4.519304455005557, 4.522168078625519, 4.522498816319241, 4.522996886869996, 4.523858990294041, 4.523948463622309, 4.52598216409408, 4.5261250611384565, 4.5261639700268335, 4.528303012506183, 4.529789303268073, 4.529874000546268, 4.5301996128787385, 4.531348930750494, 4.532134577058908, 4.53245492442988, 4.536030955853283, 4.5363944956849265, 4.539816951284548, 4.540009775858691, 4.540564969427357, 4.542396179830116, 4.547732084123602, 4.5477786778203955, 4.547842050953797, 4.550672650653813, 4.553159159055356, 4.553731436749014, 4.554968906723087, 4.555892795443465, 4.556540399176913, 4.561133141768877, 4.562507529432013, 4.563075445426642, 4.563741171469241, 4.56709874300801, 4.5684421034490335, 4.569966360095629, 4.570693262639507, 4.572053826597476, 4.574458913198961, 4.576228454980386, 4.576853659987007, 4.580595968545522, 4.581629016872604, 4.581725405425893, 4.583096534277573, 4.585650798267188, 4.586644724194731, 4.592946031567021, 4.593102638053291, 4.593790505651104, 4.594825578296696, 4.595097491483336, 4.596187184808504, 4.596469849990132, 4.599062907181158, 4.599122744434219, 4.601047523216625, 4.602213200748566, 4.60350195806645, 4.606333117281442, 4.607091488377075, 4.607877322336848, 4.609731765055205, 4.612483216993666, 4.6134007944972435, 4.6140366678044025, 4.614566414657265, 4.615230531893622, 4.615984177378281, 4.618247369910516, 4.619313766914378, 4.621730791624553, 4.622508717892459, 4.623738874603856, 4.625143254422747, 4.625433314901404, 4.62887797094539, 4.63120981667749, 4.631451398140459, 4.6318923177421905, 4.632173066136877, 4.637110257417406, 4.640004589363136, 4.640061269706106, 4.643989891437506, 4.644480574504377, 4.64667686275713, 4.647636238226552, 4.648154317922447, 4.648815981353233, 4.650922822210371, 4.653139720740456, 4.653158975379315, 4.653403322723139, 4.654828239311492, 4.655323291244249, 4.6565906428851385, 4.6575325214010865, 4.65860680557459, 4.659775350573418, 4.661793585492618, 4.662783088125223, 4.664105089598723, 4.665384547523973, 4.66590966813262, 4.666569438712362, 4.6690917638101, 4.6713507711649065, 4.671467198968436, 4.673036764889148, 4.673608043800661, 4.6760434537089, 4.676204008993885, 4.676887813358565, 4.678996833510201, 4.67977775502128, 4.680017437154435, 4.68012659028606, 4.682779848759746, 4.6828800934097, 4.683169425539032, 4.6839032913291865, 4.684219452148112, 4.684914655031635, 4.689798231926101, 4.690332641842691, 4.690661338519982, 4.69183256478682, 4.692740251083111, 4.693542970812663, 4.696342713092293, 4.696391437645467, 4.696694718021717, 4.696837291316123, 4.697221144942541, 4.6991911957845085, 4.699845678033296, 4.7001554632335445, 4.700264954046059, 4.701882465370149, 4.7025757987743555, 4.702785158579592, 4.7041763543271236, 4.705341725323251, 4.70777841050425, 4.709540377332285, 4.709729947446421, 4.710900589090408, 4.713552268794186, 4.713560477438231, 4.71388526061748, 4.714300917812849, 4.715951059758056, 4.716291673808976, 4.716373432229668, 4.7166195766600145, 4.7166373108744635, 4.7174038206927635, 4.71747736302998, 4.719356081065655, 4.724280349878833, 4.725428708175777, 4.725740261013866, 4.729842322296747, 4.730330632971342, 4.731257531320808, 4.731940327424359, 4.735595225309854, 4.736995897522341, 4.737026537766736, 4.740425583814377, 4.7430805039463, 4.743248329325522, 4.74393992087055, 4.74418573815772, 4.745874892638906, 4.7459256046527685, 4.746815207716907, 4.74784190811998, 4.748290766118691, 4.749180707079309, 4.751148476256662, 4.751352518096688, 4.753808460478251, 4.755166521769244, 4.760296829934145, 4.760809961483072, 4.761410168220282, 4.764905673871704, 4.765357977861574, 4.768142627638049, 4.773671729814103, 4.7746784052847815, 4.7749696172602185, 4.775784560909869, 4.780489407381253, 4.78087741182655, 4.784561492261555, 4.788724963110988, 4.7906001964588985, 4.790750840850079, 4.792931294090452, 4.794026591407284, 4.797342578050321, 4.802017531626939, 4.804887125384324, 4.805939996852191, 4.807267697943947, 4.809863546352251, 4.811596530098182, 4.813025445587715, 4.816057143693397, 4.819562951703588, 4.822072199571917, 4.823643660544861, 4.824215978796862, 4.8274659203392485, 4.829985216528463, 4.831041714883522, 4.832429403380022, 4.836033138539338, 4.839134849607861, 4.841384200568442, 4.84473004304367, 4.844912398866848, 4.844992465184025, 4.8475347356637695, 4.850089420118368, 4.853985195895615, 4.855373266129342, 4.856481198178964, 4.857364103962454, 4.858015679611553, 4.859662575755898, 4.859863474896706, 4.860178412077585, 4.8610065924441175, 4.862829029649117, 4.862924934242702, 4.863316309705234, 4.864924807149671, 4.867162337942573, 4.869737602229892, 4.8700731113875415, 4.873400031725791, 4.878852897166829, 4.879958199876087, 4.882742037021872, 4.885782035344112, 4.889855772698795, 4.891129030427404, 4.893118406556049, 4.895666582311072, 4.896218085650786, 4.897274437031065, 4.9052717737045555, 4.906136594460372, 4.906651969958074, 4.907654221041021, 4.908526002160477, 4.9092670489440255, 4.909942248954338, 4.910786741844693, 4.9112979224925875, 4.914804678321289, 4.916847554075888, 4.917832304041565, 4.918713350063242, 4.919729292650848, 4.919755922518578, 4.922680389293746, 4.922702701541628, 4.923116241942331, 4.924961885870777, 4.92820239356181, 4.930068535971613, 4.932799073478456, 4.934342662275181, 4.935163069063546, 4.935467549331748, 4.936537241605274, 4.936646733586984, 4.937199424238806, 4.937476140618442, 4.938389982117129, 4.939708761957307, 4.93984494269889, 4.942005517669965, 4.944756574825474, 4.94492312997828, 4.945393888032315, 4.946539852682297, 4.946989438714483, 4.948718929132682, 4.949882608919147, 4.951434233328602, 4.951887562684051, 4.952205728506291, 4.952903224212312, 4.95511470998168, 4.9556057891638625, 4.956785941642591, 4.957508081012634, 4.958933172920181, 4.960819178563049, 4.9610424877293, 4.962038367719356, 4.962090344674005, 4.963216933633583, 4.967139365682823, 4.9678971930833855, 4.968569500243961, 4.969131990897858, 4.9704894606157275, 4.971319118265595, 4.972570123487388, 4.974116160529818, 4.979358637080501, 4.980729349392362, 4.981517417734447, 4.983364253597386, 4.983529515302623, 4.983801612093516, 4.984383031418186, 4.986041246151591, 4.986241771067695, 4.986607580505961, 4.986903270277781, 4.986999512776663, 4.988338324903287, 4.988621410715368, 4.989015128898198, 4.989488358306916, 4.989759102332781, 4.990126105346662, 4.990944820484138, 4.9921006259563, 4.99228931965097, 4.992714263642838, 4.992989446165009, 4.994225222791976, 4.995316004822566, 4.995467671236487, 4.997541559211431, 4.997602309655383, 4.9982907522035065, 4.998956942444986, 4.999382274708813, 5.000107614186191, 5.000713466063275, 5.000866306034347, 5.001275877345528, 5.002321309239636, 5.002965398057465, 5.00348278933504, 5.0035453605214295, 5.003689601689712, 5.005188785762948, 5.005556029044009, 5.00633148815968, 5.007153323856041, 5.007817367309128, 5.008388076316035, 5.008772049736636, 5.009588605040194, 5.009709809656613, 5.011404160916868, 5.011717963919759, 5.014038109373161, 5.014940868896245, 5.01775212417506, 5.018841446558004, 5.018847452858532, 5.019611133811107, 5.020142522672297, 5.021534683184919, 5.021568087642566, 5.021680381159629, 5.024408928713354, 5.026162653239292, 5.0267966758044205, 5.028588561686232, 5.029850522675519, 5.031870950875174, 5.033225613267907, 5.034862474611142, 5.035063717170012, 5.036135666794466, 5.036984170938426, 5.037982041115864, 5.03823999842941, 5.0398194553616955, 5.041386881563134, 5.042029259182333, 5.043338755052448, 5.043406442258823, 5.0445525049197, 5.045397409653041, 5.047147737779573, 5.048580779539937, 5.048622142971328, 5.048888841698964, 5.05132532817831, 5.051977277195846, 5.058450857938675, 5.059630332563494, 5.065371014723797, 5.0658172629950595, 5.068210944558649, 5.072143398539164, 5.072540763606659, 5.07419341254346, 5.075507477420564, 5.081160225498626, 5.081439070187544, 5.084377375790461, 5.092856933660613, 5.09508686330695, 5.096788377191472, 5.096858859513353, 5.099348699619209, 5.100009581101884, 5.101628706379006, 5.10173897922191, 5.1024389583856244, 5.1030255257276345, 5.1035468303433955, 5.103807598335155, 5.104585288515157, 5.10752166483916, 5.109086846127011, 5.112626683690879, 5.113333209418702, 5.116359341203757, 5.116518507655467, 5.118092768462393, 5.120319842014251, 5.1219808598667305, 5.123838867408207, 5.126912365226125, 5.127466527998759, 5.129155086050261, 5.129692511414346, 5.131470541123466, 5.131536712932832, 5.13217673781194, 5.132840158344106, 5.133645372774806, 5.135053481453559, 5.135522611190138, 5.135886934199218, 5.136055573230335, 5.139816215331968, 5.141043356522096, 5.1418577294944425, 5.141872641928179, 5.143162704451937, 5.143216721495365, 5.145119164394089, 5.1452034157623885, 5.145557284179037, 5.145578998743353, 5.1458711548933485, 5.146566357403415, 5.148391695379408, 5.14963504435952, 5.150327604899604, 5.152576240179591, 5.153465995962706, 5.153510095000172, 5.154566067829278, 5.1559333192404155, 5.157349892770277, 5.160036634367641, 5.160353808964882, 5.162769979372496, 5.163724308531776, 5.165018994843686, 5.165512312015266, 5.16844270581486, 5.169775335727147, 5.170417540105359, 5.170463635904679, 5.170927703260073, 5.173426409183581, 5.173876566438307, 5.173956506020592, 5.175333948057209, 5.177851177344274, 5.179798913491809, 5.1814355249981405, 5.1815311803649555, 5.183707553909085, 5.185478972966362, 5.187612720569654, 5.189013195172962, 5.189207273929936, 5.189614694259201, 5.192320449884551, 5.193171440376508, 5.193842134572848, 5.19443860439932, 5.196640407871418, 5.196943866096959, 5.197278434036721, 5.198102130704375, 5.198935767261799, 5.2027927984275095, 5.2038671335556685, 5.205232591082725, 5.207833802503281, 5.207852620345571, 5.209868459103126, 5.211204400747403, 5.212319206837854, 5.213871491426527, 5.21487120546753, 5.216177097360914, 5.217186655844149, 5.217884835190519, 5.220037922710916, 5.220690355030215, 5.2208727882553, 5.2218728731312405, 5.222918380209139, 5.2239237550221596, 5.2250388249437965, 5.22625162832336, 5.2264310052995775, 5.226615592098503, 5.228667492555263, 5.22982123717453, 5.229868706770517, 5.230400359390158, 5.231141606964654, 5.231652884690134, 5.234406405101188, 5.23555280735275, 5.2359488195883355, 5.237723044336573, 5.241879894526214, 5.242736493782537, 5.243992866893638, 5.2450076573708655, 5.245371889145943, 5.245762163376004, 5.246748189918241, 5.247357905513365, 5.25115915862407, 5.252590587023879, 5.254603307903664, 5.256416023265898, 5.256839527761417, 5.258043685154388, 5.2587091833619155, 5.260082298920704, 5.260114762521199, 5.261441984495857, 5.2620837096944895, 5.263216622923567, 5.263615074278592, 5.269048570451371, 5.2696514261563205, 5.269963109439265, 5.273075788707745, 5.273195621348652, 5.273763434147356, 5.276947839146853, 5.27863512359094, 5.279511009566715, 5.279580002074505, 5.281603453215391, 5.281995888435165, 5.286330230164476, 5.286511287956928, 5.290717061642568, 5.292730662575712, 5.296579054885992, 5.297841221753228, 5.297937584953852, 5.298604448336567, 5.299046139080708, 5.300840355738746, 5.301957183718653, 5.303429551916276, 5.3068182968553055, 5.307284946739689, 5.308147501602325, 5.3088501877273035, 5.310350949150227, 5.311479892223632, 5.312752965473688, 5.317755611837863, 5.319227087905803, 5.319239737272645, 5.320015297582755, 5.325272370138598, 5.3263602096442515, 5.328169484526654, 5.329246081933683, 5.329770433040013, 5.329968499865562, 5.331850896666252, 5.334125720569555, 5.334350959766481, 5.337404290948144, 5.337826098076742, 5.338590039920747, 5.339880370925145, 5.3426018761630205, 5.344540325836356, 5.3460264766825745, 5.347110636108117, 5.3507974642251135, 5.354420182478537, 5.36160643074963, 5.363104131692161, 5.363496432469496, 5.364823774409375, 5.36625172881078, 5.368522411219005, 5.369890272899778, 5.372492696735155, 5.37365552496307, 5.378691025579037, 5.381458969129433, 5.382632247422801, 5.38368054887503, 5.3858652315149795, 5.387154527041918, 5.389515495134201, 5.39023287349713, 5.396520915905159, 5.398058156122343, 5.401309312515256, 5.402712354631795, 5.403946564408127, 5.405134109713983, 5.40729770625482, 5.408014060692045, 5.408219475938406, 5.4097320621573495, 5.412120610649491, 5.415185626271571, 5.4181106858326835, 5.419277838080821, 5.4211886234583, 5.422203504823175, 5.430215189201194, 5.430764227883728, 5.436763228281729, 5.440555077749665, 5.44936970817563, 5.44944270344484, 5.454849585531804, 5.4592305914692085, 5.464522316315796, 5.465871445009534, 5.4661305883540585, 5.468425568500434, 5.472096603497498, 5.477090174975851, 5.480741361306649, 5.485107765940607, 5.486497047861391, 5.493774470988364, 5.495459893103768, 5.503534232270979, 5.504613614757316, 5.506453934005508, 5.5080120640765715, 5.5083685187847715, 5.514828462675787, 5.516454714346095, 5.519880739898619, 5.521103815045339, 5.521584765879139, 5.522580357444101, 5.5227633563229, 5.525107528998641, 5.527016031241615, 5.527919166753032, 5.528275304696657, 5.531251125852436, 5.532787390825815, 5.535238326613233, 5.536068122404669, 5.537469965957195, 5.5379356118716565, 5.542939426134944, 5.545290249467435, 5.546956617705555, 5.547978726117103, 5.550477293721911, 5.554832396002606, 5.555354628637484, 5.556423175594045, 5.5572635646881565, 5.557982088565126, 5.5580085242854755, 5.558294727467695, 5.561774515163275, 5.568582870563127, 5.569625194327229, 5.570301897819797, 5.578533061514904, 5.580509995319969, 5.581088744712575, 5.589263568873041, 5.594756058137167, 5.598710805579329, 5.601472098820001, 5.603203527875805, 5.604912907246874, 5.6061217222380115, 5.607580935534898, 5.619329393352738, 5.619674686840216, 5.619769088554459, 5.622557711229507, 5.6241393337805725, 5.626088337875805, 5.627769357566258, 5.629012334998274, 5.632517210490473, 5.641203110662055, 5.641952058976824, 5.641985515770049, 5.645197330512667, 5.645882294459929, 5.647153320158046, 5.65078583017682, 5.651781921001779, 5.6523691722436435, 5.655096583627677, 5.658372769359739, 5.659979141893116, 5.660102287913142, 5.664550642826554, 5.670542185678091, 5.672660423914022, 5.67281330599946, 5.673342820260919, 5.6741348436890275, 5.675464387703222, 5.678047809162152, 5.679002482866693, 5.6827549401397315, 5.684841405811965, 5.6859881917701705, 5.686249862321299, 5.6869954964143465, 5.688587228151875, 5.6899261190263895, 5.690055633088486, 5.691220656617877, 5.69625904297534, 5.699000916976959, 5.699003866920222, 5.699729007939624, 5.702005713381381, 5.702263335845683, 5.705103284788803, 5.708192510578179, 5.708866561502891, 5.709956652924549, 5.710283709054117, 5.711315342816452, 5.71173870885238, 5.711800911016503, 5.713145599614062, 5.715399295567965, 5.715716298610919, 5.719626650824895, 5.7203493544290325, 5.725458757832866, 5.725744554080519, 5.728884778244215, 5.735131054933963, 5.739051271670762, 5.739256600092467, 5.73959917549857, 5.742176840082424, 5.742254556535598, 5.7432717769443045, 5.747010970901776, 5.747559605165382, 5.7477221160709835, 5.751554204180699, 5.751734253943202, 5.75190403148423, 5.752755766132585, 5.756213353633091, 5.7569815809752845, 5.761315357653247, 5.764322148176781, 5.779510979259696, 5.781697618794587, 5.792340396263369, 5.79394710779576, 5.801960894374588, 5.803584053108591, 5.803676481501784, 5.808891185745912, 5.809049348655018, 5.809869053014816, 5.81022362614524, 5.813748726559663, 5.815939738033484, 5.816028331528533, 5.817078553051566, 5.819479562694649, 5.820492672011365, 5.823876471729905, 5.824846469918866, 5.829099437612475, 5.831159894051836, 5.839413760327788, 5.844725572228365, 5.845770582525666, 5.846695768050233, 5.849211365988178, 5.854816763957755, 5.856955647528416, 5.85856124747574, 5.859274385326905, 5.8720297438377225, 5.873683065944642, 5.875789338019268, 5.878506804927185, 5.881366558804753, 5.883239373405686, 5.88343330151574, 5.885102758705556, 5.886922789538583, 5.887465796951081, 5.888940746655196, 5.888959584867019, 5.8896226243711665, 5.891087857689622, 5.894094128131315, 5.895452492719133, 5.896891399588635, 5.89725084920724, 5.902368003325447, 5.902438412038359, 5.902578055704667, 5.903470787536953, 5.907118756842423, 5.909753586452149, 5.91470860495244, 5.917935977081674, 5.9189955615629435, 5.920043672177114, 5.925048792300568, 5.926378892327206, 5.926678139459824, 5.929582657749637, 5.929811596345956, 5.930830596748653, 5.93345191176747, 5.933552455298312, 5.9338164388150645, 5.934834210522962, 5.935062995214964, 5.942568858542978, 5.946224065264219, 5.946913705937333, 5.956236990987864, 5.9580382143531985, 5.959264139064152, 5.961046892087989, 5.9659572591189605, 5.974597910668801, 5.975244914690773, 5.978171529966595, 5.979598686444681, 5.985000875261845, 5.988246702448505, 5.989893905768655, 5.996839589076832, 5.996965204549851, 5.9978385727628964, 6.004266964885431, 6.00654942965804, 6.006746681813813, 6.013368969774021, 6.014997415912215, 6.015762310282014, 6.016380578537615, 6.016507909748156, 6.01661366535153, 6.016834334651629, 6.020840550610566, 6.021234737089171, 6.022127349994381, 6.022243300215576, 6.023858950947686, 6.026882816169105, 6.02732812247962, 6.029589309704879, 6.044741854749532, 6.047992960254177, 6.0489095322274045, 6.050816345766552, 6.052439057206825, 6.053985030716545, 6.054390234552482, 6.059972187262936, 6.060615962974529, 6.0688032066494895, 6.070048259640869, 6.071768588964028, 6.072427117095348, 6.075860821151118, 6.078045458039122, 6.083381138135053, 6.087430765255613, 6.087910811483408, 6.087938302265415, 6.09182820334174, 6.094187581634181, 6.096179719876971, 6.097719885244592, 6.098805686144937, 6.099495933914645, 6.101454872994042, 6.102222731936916, 6.103605916930859, 6.104357560248866, 6.106077599179954, 6.106565096911051, 6.109358833589479, 6.114889754299063, 6.115876840814966, 6.1160732923376715, 6.118243584691299, 6.121045552311461, 6.123192846913344, 6.125946152022168, 6.12731471659379, 6.129065757002917, 6.134027001926516, 6.135507095204895, 6.1381298460893055, 6.138320755613139, 6.143459461078808, 6.144940841159882, 6.148212042565281, 6.149442060140294, 6.154721322735379, 6.155608863081506, 6.156053724851098, 6.157028468061446, 6.157263807881982, 6.158971446418644, 6.160944783705077, 6.163626647749851, 6.167242949278214, 6.172654292622926, 6.174540860289103, 6.1782094124555025, 6.1785097819630055, 6.178729692824463, 6.1832162183972, 6.183414691284963, 6.184931496304447, 6.190293413182333, 6.1935821013308825, 6.1953569792415015, 6.200289355269242, 6.2025554746874825, 6.20308141597512, 6.203380618942372, 6.204520437553674, 6.205072640320519, 6.2066000025261365, 6.21289893773534, 6.212947289886072, 6.213598309597925, 6.218638782630052, 6.221242957447671, 6.222748698006237, 6.224014910834284, 6.226378932937142, 6.227124297816071, 6.232080694826646, 6.23237560496541, 6.233354861461197, 6.2368071102560165, 6.237488889560999, 6.238313900152952, 6.239515218819665, 6.2429697469996785, 6.243837277125195, 6.245405251414882, 6.2469434299099715, 6.249222956764293, 6.249345094258074, 6.252619877187326, 6.261711817100426, 6.262830857998664, 6.263998210868886, 6.264534186576347, 6.276533655232147, 6.276656664491161, 6.277188180526219, 6.278248461556222, 6.278375476809585, 6.279630906038678, 6.284409218004675, 6.28450783372356, 6.287625797544236, 6.289991278010773, 6.290285741742461, 6.290482856103064, 6.293198051420052, 6.293811954804561, 6.296285347761361, 6.296664423187989, 6.296998938729704, 6.302304799201927, 6.309117724119159, 6.309323954453219, 6.309810129099239, 6.310741785172383, 6.311165410844666, 6.314119651291443, 6.314901011293018, 6.315046212604662, 6.3154359286801345, 6.317107797518487, 6.318256746509357, 6.3183230805132276, 6.323540488345437, 6.324406590806323, 6.326092507218376, 6.327540613839685, 6.327736384156412, 6.329482884163325, 6.330129003300918, 6.330256965114996, 6.331698090892714, 6.339648450182525, 6.3578053021601635, 6.372181094778794, 6.3734480700350025, 6.375534629847613, 6.379793904126423, 6.3799940030141356, 6.381011202715067, 6.381416774776446, 6.382544870735346, 6.39405765088779, 6.398268102128454, 6.407865964682186, 6.42859533320243, 6.430578502825448, 6.432132655649835, 6.448749032994805, 6.4573188644801585, 6.459681503425988, 6.461400078229762, 6.463885645558574, 6.466212363056218, 6.466399166149919, 6.471894024332986, 6.474474951001633, 6.475122866420042, 6.476632583099466, 6.4780136867722335, 6.479326913823154, 6.480819895269566, 6.483102707206074, 6.483162459339404, 6.483552502732482, 6.486927333476857, 6.490074366365427, 6.490745846525983, 6.493811357714253, 6.494361746197076, 6.496113083986525, 6.496466028983932, 6.49908616159229, 6.4993951447062415, 6.499892496567088, 6.5006357231809275, 6.500923410330011, 6.502788762557582, 6.504077517136729, 6.5051408496669945, 6.506184242239736, 6.508393597083208, 6.509952382543325, 6.510358873414362, 6.510872894730711, 6.5110749915232535, 6.512557946867555, 6.5127871309062035, 6.5172620757979844, 6.518020942338922, 6.51884781290605, 6.5202093664976335, 6.520569102646506, 6.523861211181555, 6.52760533060512, 6.528121509483662, 6.530205613431889, 6.53081388212071, 6.531226361455779, 6.532455508531134, 6.53468620777537, 6.535356343824134, 6.538094077935257, 6.547828232744037, 6.548997430265224, 6.549156601646812, 6.554222450395153, 6.556169420607544, 6.562692339769949, 6.563021050471446, 6.563301747050102, 6.567213619091419, 6.567500956869749, 6.5697216374847605, 6.57103674138689, 6.577336195979387, 6.578469672692597, 6.584405664415913, 6.59202028472344, 6.594210136375771, 6.603624231341399, 6.604378171316192, 6.613095826708662, 6.618211608004732, 6.618903875388366, 6.6210974825276985, 6.6226967398531835, 6.627156398845449, 6.627689609364404, 6.631356129245143, 6.636162664407565, 6.638688609326047, 6.645487255657542, 6.6465830311037655, 6.648935552103405, 6.652025941538345, 6.652669458922168, 6.6530195340724525, 6.653343001397575, 6.654869436394725, 6.6597255056012905, 6.659857038122747, 6.661354092432052, 6.6681751006320535, 6.672052113560967, 6.677536526444814, 6.6783876015218855, 6.682069748858485, 6.688438475472588, 6.689897192138989, 6.690890002731255, 6.701421891677678, 6.701695558582308, 6.702647981680314, 6.707932502456829, 6.708716953646237, 6.714765292216604, 6.71643374531818, 6.716894691463225, 6.719789979527434, 6.719823806400465, 6.736355464418145, 6.736558140338976, 6.738450789098923, 6.740422143563309, 6.745202965074968, 6.748304141332444, 6.749931118016991, 6.750017311524203, 6.750644033600478, 6.752975699068515, 6.754449147679457, 6.7606822298366085, 6.761115163740223, 6.7625015961053325, 6.776626282797466, 6.794880471476795, 6.796195515124209, 6.802077190383778, 6.804239197919213, 6.809269732367737, 6.809783143753474, 6.810310096502034, 6.810567432542411, 6.824540749584023, 6.825645066994519, 6.826653735743276, 6.826688430690261, 6.829409181851229, 6.833859891844216, 6.836599093520825, 6.840695705519119, 6.841971803037485, 6.842808344907307, 6.844140777488669, 6.848229865813305, 6.850633371403699, 6.854654759200272, 6.863405758866798, 6.864675713814549, 6.867535214218926, 6.869931686800642, 6.870309018770819, 6.873262034030008, 6.873346946122914, 6.8834520779936765, 6.884579043582136, 6.88532177027229, 6.885680056745024, 6.887678743952979, 6.888189528901735, 6.899613213575054, 6.901053812716783, 6.903468214705966, 6.906313783302618, 6.908937744919109, 6.911951070000924, 6.912765363465984, 6.91301754488801, 6.913998604568456, 6.915608100905297, 6.916107826587789, 6.920192666061213, 6.921784211750163, 6.921896415667321, 6.923215513275912, 6.927490681688915, 6.934343695275218, 6.937006473253356, 6.94482568474595, 6.945431503714611, 6.949295222968626, 6.952869115605654, 6.963928330790384, 6.970643189510827, 6.971081816959143, 6.972926065281263, 6.973311600008758, 6.98061197410583, 6.983421584908184, 6.984291937642333, 6.987005205471483, 6.98707942091131, 6.987947336958325, 6.994135312173782, 6.997811417819849, 7.001160164913687, 7.003384017234849, 7.010602756555255, 7.0137661704590455, 7.013898722186445, 7.020226221773669, 7.020995547665046, 7.021110049047938, 7.0242613516862, 7.024326962411393, 7.025122583901627, 7.026890332687881, 7.028206922959383, 7.029125519314071, 7.02953923327181, 7.036420260257047, 7.0365229212612155, 7.036877409949264, 7.0371153408859595, 7.038741358672025, 7.041860195840816, 7.042279207125881, 7.044165315002777, 7.044202854698017, 7.044759985171621, 7.046371838441313, 7.046633193860452, 7.047061189561567, 7.047414093826152, 7.04994681948885, 7.050890449938877, 7.051323960884301, 7.053881419580444, 7.05443867152542, 7.056848653582489, 7.05735032758343, 7.058084156809463, 7.0581681027039505, 7.059950287504747, 7.060283670126367, 7.061307937486808, 7.0630457174430274, 7.063872364486944, 7.065038063459672, 7.066009244231593, 7.069477120750051, 7.070419608574655, 7.070858820431419, 7.072872274663752, 7.073224000893989, 7.078419817603742, 7.078472648223551, 7.079473370317407, 7.0800312805701155, 7.0810874511974085, 7.0815275647584235, 7.083060396152123, 7.083288719620913, 7.08494526702402, 7.085450945561509, 7.0864421277688034, 7.089049110232067, 7.089233797438, 7.089581978898505, 7.090242629269689, 7.092432150335025, 7.092439602569199, 7.092481462817652, 7.0938033870990775, 7.094211097619318, 7.096157521502542, 7.096244878109481, 7.09641628383175, 7.096875752906558, 7.097012783469591, 7.099163791675422, 7.100036827920367, 7.102705407403042, 7.102991396218835, 7.1033535290111285, 7.1036960075743165, 7.105023892684421, 7.105717239287238, 7.105722922965222, 7.106856007966925, 7.107273096393599, 7.108264064484117, 7.10845492357425, 7.10887140689744, 7.1120932189515, 7.112227159027992, 7.113043083165648, 7.114677821007288, 7.1153043549320465, 7.11570087788727, 7.116768038345174, 7.119493580969749, 7.120014290751646, 7.120084803427761, 7.121408122272486, 7.122477410565556, 7.122640220104351, 7.124617020079646, 7.124906018640026, 7.124976681947765, 7.125564603143232, 7.12674542714502, 7.127049691310702, 7.127691490183912, 7.128546573437695, 7.12864757455426, 7.129633774473872, 7.130318609174557, 7.131432494936345, 7.131547566739588, 7.132612574676849, 7.135535803796663, 7.137443566331043, 7.138785563442791, 7.139569003265101, 7.143669607788664, 7.146551958485971, 7.146630178334497, 7.147710081864155, 7.149183285269932, 7.151383127154867, 7.1523911511704314, 7.1536282793694665, 7.153743615481372, 7.155402618182238, 7.156583446772292, 7.157246117239957, 7.157802185507803, 7.15996581735654, 7.161635002626644, 7.162300935303276, 7.163449704130407, 7.16556298440006, 7.167352122386247, 7.168712403120515, 7.1690773618682595, 7.169867867951389, 7.170592643774624, 7.17081554565809, 7.172651823644216, 7.173158562099676, 7.174148243040597, 7.174349285765311, 7.174612025946524, 7.17594811625006, 7.1766869890500065, 7.177279727123605, 7.178494110729413, 7.178650411101031, 7.179170898742515, 7.180020450029945, 7.180250220415232, 7.182881421499151, 7.184064008452025, 7.184354863094679, 7.185198455146667, 7.185687590863233, 7.186926318611481, 7.187655858005277, 7.188123077753454, 7.1887600194494885, 7.191395338467936, 7.191717928435634, 7.193515990415229, 7.194510217593715, 7.194545746787413, 7.194667833950777, 7.195072436458332, 7.195566518223277, 7.197154291640964, 7.1976716553541245, 7.19887811339786, 7.200311114267091, 7.200722187178138, 7.202574666551112, 7.204922674113066, 7.206061011353412, 7.2064381336854675, 7.20649543613863, 7.207546290354549, 7.207790833427149, 7.20792936561556, 7.208070871469769, 7.210819263446226, 7.2119282637849995, 7.212223003468167, 7.212611425530181, 7.2126850560599305, 7.212848171715086, 7.212941040692252, 7.2139558742955625, 7.2144482243093755, 7.215134409152675, 7.215731625781307, 7.216046449524629, 7.216311259051166, 7.216559597770939, 7.216856055943699, 7.217098585735958, 7.2180826517200956, 7.218276258804548, 7.218832006283568, 7.219197257949061, 7.219937465526487, 7.2210595383017315, 7.221339094884961, 7.222114296301523, 7.222131118313633, 7.22230525188688, 7.22333424467642, 7.223805194513064, 7.22392402567519, 7.225130839903692, 7.2254224354327965, 7.225897700610257, 7.2262274736324486, 7.22667443549797, 7.2271524568492165, 7.227176615916506, 7.227668849826671, 7.228974531191438, 7.230862373471833, 7.231001353166834, 7.231179437651066, 7.231556470146727, 7.233142964891305, 7.233219724465416, 7.234041106031546, 7.234470712295551, 7.234472557945163, 7.234490778238239, 7.235557440635442, 7.235676377044044, 7.237356544883995, 7.237454018823143, 7.237619962312905, 7.23806805242905, 7.238630267996255, 7.23866900414601, 7.239543054682819, 7.239852661769371, 7.240029157512083, 7.241248553745317, 7.2415177211411725, 7.24208698313783, 7.24214846806305, 7.24256122388071, 7.2447594495484235, 7.244942076487971, 7.245389482144909, 7.245851940304833, 7.245926160960909, 7.247240168700941, 7.2479366404164605, 7.248117857265646, 7.248602982959808, 7.249153110192615, 7.249299126552041, 7.249876178725692, 7.250271864209412, 7.250664831887706, 7.250871077474057, 7.2510195513297795, 7.25159602094017, 7.251875879377097, 7.252373086056107, 7.252756563179427, 7.253159111009404, 7.253196032491022, 7.254109204702231, 7.2545733756118995, 7.2548496462455905, 7.25489705189466, 7.255233410923001, 7.255370886622979, 7.25603633902177, 7.256951894178112, 7.257273324184253, 7.257335099718046, 7.257696860691591, 7.258297088443967, 7.259448799369287, 7.259984440151605, 7.260110928074074, 7.260619540119387, 7.261113753603668, 7.2613415786494375, 7.26177418325321, 7.2631936486904705, 7.26340181314771, 7.264488299584167, 7.265691292533308, 7.266389274207488, 7.266645841671353, 7.26698885570313, 7.2669968249387, 7.267725398666873, 7.267901268637972, 7.268618920789232, 7.269175449474902, 7.269557156004146, 7.269822439047122, 7.2710805315341505, 7.27178169701555, 7.272676600273804, 7.273436358645293, 7.2757581485815335, 7.276218712957915, 7.27748368228435, 7.277592164196363, 7.278092724351751, 7.279451897404713, 7.279472746634563, 7.2795228524237805, 7.280217119316764, 7.281410760166493, 7.282620488882397, 7.283810809329744, 7.284120165310012, 7.285195729745222, 7.285594567795916, 7.285785069468981, 7.286382247934755, 7.286679692768943, 7.288664459003329, 7.290206868887984, 7.290581086786858, 7.291519062518223, 7.292016794562562, 7.292342680149419, 7.292668451593517, 7.293127660849552, 7.293160254888753, 7.2939974662300475, 7.294118760786482, 7.2951034019506125, 7.295579746630797, 7.296662040607564, 7.297584387446541, 7.298732628312961, 7.29991165393408, 7.302267734480476, 7.302630373573446, 7.304479010511237, 7.307075993020967, 7.307085653708362, 7.308001660656728, 7.30809927899066, 7.308291635641778, 7.308571620687966, 7.3095535411703665, 7.310058695643736, 7.310650172265891, 7.31077840706965, 7.311346829965307, 7.311357139851559, 7.31422178586644, 7.315618668124746, 7.31678059299648, 7.316821997526782, 7.317480221176499, 7.3175657936943495, 7.318213565019774, 7.319037435657837, 7.31915484529163, 7.3197156290929115, 7.320824323590442, 7.322239601006239, 7.322692580548396, 7.3232708138765785, 7.324766069691918, 7.324823732062564, 7.32533947378483, 7.325824459293719, 7.329743248313444, 7.3299486154153914, 7.330407926977071, 7.3309422044424615, 7.3323757887349785, 7.332469970171615, 7.332916843681149, 7.333844292870323, 7.334121299317293, 7.335697227172151, 7.338538382202277, 7.339378834116849, 7.340148115734963, 7.340557086043564, 7.340704400131205, 7.341278514181812, 7.341856796766737, 7.34215927001063, 7.343785184961829, 7.3439694254416255, 7.344119003454232, 7.344501469111702, 7.345858768029052, 7.346794583582488, 7.347150679193434, 7.347732855633169, 7.349168372783953, 7.352134278187741, 7.35278585985844, 7.352890910014099, 7.3531797246658765, 7.353698910840613, 7.354246313465657, 7.3547623370863064, 7.355404460087412, 7.355601438095843, 7.355637155674972, 7.356219751440051, 7.358860250339529, 7.360053808333968, 7.360149420861605, 7.360372396076394, 7.3609997546894785, 7.36283195254444, 7.366137587527516, 7.366747838488252, 7.36717576654316, 7.370404845462035, 7.37074442233537, 7.3709772710122206, 7.378182171859009, 7.380807150781353, 7.381261605042937, 7.382836634115711, 7.38342945848438, 7.386015495459464, 7.388463804451359, 7.393225884790351, 7.397066365697987, 7.401290587273617, 7.40190264672407, 7.402665883516004, 7.410587469170157, 7.411214665736351]