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

eigenvalues = [1.8755830222261238e-14, 0.011416573626819852, 0.018922064358634173, 0.019175459677364618, 0.019432070600791246, 0.027226145522874164, 0.03890747020217571, 0.040270163409251665, 0.04572906174206556, 0.04858654440797521, 0.05009119045219443, 0.05485521804135191, 0.06105858174488194, 0.062249756948063215, 0.06806805809070263, 0.07293748955838544, 0.07412914668220179, 0.07587738586158113, 0.08694519277958664, 0.08745800635331509, 0.0931165374411022, 0.09625992726824277, 0.10651973373096589, 0.10943121545002103, 0.11527584236782899, 0.11578245775837687, 0.11643683010844688, 0.11843670252808405, 0.12188713952889786, 0.12339845454287791, 0.1268704620151273, 0.13146370310517774, 0.14182129031262117, 0.14658125331786886, 0.14851339569800007, 0.14872847343374715, 0.1530764784962156, 0.1556919989994551, 0.1602093100549478, 0.17200181298070108, 0.17367295567422508, 0.1759339567896861, 0.17920465543220426, 0.18071282411892095, 0.19119666431478516, 0.19121567490748662, 0.19431663681280933, 0.19842165391925076, 0.20101272035620327, 0.20106840374666396, 0.20406118574552715, 0.21830807306941438, 0.22034770786684557, 0.2217368654253938, 0.22746705877258688, 0.24643221440805083, 0.24682891613967625, 0.2545419911680816, 0.25693302045404814, 0.2576722820257372, 0.25897505957401856, 0.2623267910719229, 0.2623863291944416, 0.2660720830060489, 0.2663668021501268, 0.2714377023364902, 0.27255663166688326, 0.27674968046372866, 0.27935180958251565, 0.27955931967059605, 0.2884291743700304, 0.28988922097724074, 0.29536919868210115, 0.296091869671199, 0.2987605882548077, 0.30506228883953895, 0.30866597397263107, 0.30906326133359885, 0.3101911647173117, 0.31132534223920855, 0.3222488595308909, 0.32662259561547374, 0.32794899402468386, 0.33032938525812067, 0.33111895322465373, 0.33426415349748206, 0.335955358411223, 0.33661663213846527, 0.338869183798708, 0.3422553718141378, 0.34969337163314523, 0.3507239362895318, 0.3530264460585618, 0.3581959694100048, 0.35987673828066613, 0.36194251926330345, 0.3684384705479357, 0.37765440736290334, 0.37849554520176953, 0.3785775451063629, 0.3801395596722249, 0.38170924246178484, 0.3818091298824456, 0.3822842171375364, 0.38420654147951816, 0.38708748051840886, 0.39210292250897594, 0.3969766038093671, 0.40109845215377493, 0.404437896808796, 0.4045111414514398, 0.4137163675407489, 0.42100905740198424, 0.42404710066443196, 0.4244028795449797, 0.42649419955057966, 0.4280946041550589, 0.4286845018202623, 0.43010298216304654, 0.43048783137451474, 0.4337032644076079, 0.4351791317556998, 0.435765987132167, 0.4377806472149154, 0.44001067707622726, 0.44094561506340113, 0.44102178096599065, 0.44175919067136277, 0.4455980457140039, 0.4469900356279846, 0.4499255040868829, 0.45100802913020843, 0.45162225913915904, 0.45632364038789186, 0.45836609464053746, 0.46624392903652606, 0.46812559613195215, 0.47750990907353275, 0.4775283822158387, 0.4797910850402254, 0.48149782696848226, 0.49087385480883833, 0.4936719554848484, 0.5002474298762776, 0.5061187551324716, 0.5079320653347793, 0.509302221711785, 0.5148852609677262, 0.5163975133553959, 0.5190398317106618, 0.5278560846402992, 0.5284952362520187, 0.5292712502334683, 0.5321278843719797, 0.5348463364866952, 0.5349391431652621, 0.5531430976271186, 0.5531785106049182, 0.5633818847287473, 0.5663240788982339, 0.5707378549309816, 0.572390312299014, 0.5751360454294924, 0.5793655726888153, 0.5828673995357309, 0.5890399767313867, 0.591665556180026, 0.5922267731985146, 0.5926082295332622, 0.593713760526569, 0.5972239753733739, 0.6006626016408304, 0.6026681668893447, 0.6027529452303074, 0.6035783736312771, 0.6043089645475387, 0.6086817890576713, 0.6150808693965041, 0.6246214848967622, 0.6285485067666018, 0.6300937864237286, 0.6327412105510857, 0.6330584268888637, 0.6370718454274773, 0.6397401371413601, 0.64226193718726, 0.6443037107830699, 0.6447014125759084, 0.6465918361609004, 0.6466519665849236, 0.6516697021061462, 0.6543020670986698, 0.6553240686504804, 0.6649278791581523, 0.6658505522678674, 0.6699902703821532, 0.6746410712559742, 0.6759601079244393, 0.6788919352466709, 0.6868712684265279, 0.6892508579716469, 0.6924804501559925, 0.6973228877978244, 0.6995911425905477, 0.7017209042131638, 0.7081266415078216, 0.7088717063110351, 0.7090953875716206, 0.7140727771663576, 0.7187416183321573, 0.7198094133331554, 0.7226604275231382, 0.7232286384214249, 0.723974830263192, 0.7288876737958375, 0.7296558749572526, 0.7297942049661753, 0.7310968387645121, 0.7311518397394203, 0.7343817152373029, 0.7352719209352756, 0.7431373302527331, 0.7451618156835073, 0.7463686893999765, 0.7498940923094382, 0.7508226308387959, 0.751162873863931, 0.7531874724056774, 0.7541663864914626, 0.7543957322370993, 0.7583915332909069, 0.75879984246861, 0.7633199000283003, 0.7633976575446253, 0.7667801313353261, 0.7669707868978152, 0.7698093037015947, 0.7713460197586484, 0.7820768709177878, 0.7866623251448285, 0.7883727634262379, 0.7934153563965105, 0.7945920918802878, 0.7988697976444782, 0.798969000506514, 0.802890116281663, 0.8052920819564436, 0.8062192681184341, 0.8097096390401408, 0.8191628828463353, 0.8214288492374611, 0.8228543671725609, 0.8276056517335721, 0.8360820068666067, 0.8381708008656541, 0.8404686633954972, 0.8460518120954208, 0.8467466427193318, 0.8553553739795221, 0.8567066561884463, 0.8568680286551986, 0.8575572992349119, 0.8650078816598061, 0.8653772086279806, 0.875046711485029, 0.879294433944361, 0.8816982771314744, 0.8821709261168882, 0.8847623054996752, 0.8894614029266626, 0.8899624253511574, 0.8929639983485955, 0.8958449720345845, 0.8965892004506899, 0.8989026117767142, 0.9019882169145448, 0.9030093875814412, 0.9049721689281747, 0.9058305625906041, 0.9083583777627264, 0.9098669602546181, 0.914401413646304, 0.9174615836341755, 0.921469146079027, 0.9287457683960176, 0.9334061814426372, 0.9335791506851971, 0.934089636433566, 0.9355833515210353, 0.9369358483573831, 0.94276826897895, 0.944181863103583, 0.9509993059547095, 0.9514458415987797, 0.9519588936322589, 0.9543614221596775, 0.9553869178881245, 0.9608839525391047, 0.9619227411956418, 0.9622210935052965, 0.9651443390112595, 0.9652644719496867, 0.9654768996841966, 0.9662863759813278, 0.9672013749610817, 0.9724706747478971, 0.9821975939954434, 0.9839374388201091, 0.9851911613571376, 0.9852797730974434, 0.9911826855608933, 0.9913445607834516, 0.9939718907677134, 0.9957914204138179, 0.999436155721231, 0.9996683733787496, 1.0013475970773724, 1.0090177355291297, 1.010375243471073, 1.0110789492611887, 1.0154372982364583, 1.017185311358726, 1.025049597101092, 1.025321382457453, 1.0282561572773103, 1.0285015396235688, 1.0292103296713733, 1.0305613205324506, 1.0357320790079874, 1.0369041170180602, 1.0383325272908108, 1.0384307294524873, 1.0473122216600108, 1.0499905202836772, 1.0525519072778868, 1.0527920025399746, 1.0551203890479555, 1.0567357008968932, 1.0569658290393729, 1.0654057052107833, 1.0673120100270308, 1.0714507009124628, 1.071860721304072, 1.073363439034626, 1.0762222961003407, 1.0770520833328634, 1.0778279372000952, 1.0789943330840752, 1.0820227367589257, 1.0848998803755259, 1.0856292849356164, 1.0859920510427437, 1.0879553406965141, 1.091721190966572, 1.091994076463518, 1.094345530382033, 1.094967663722326, 1.096524297856182, 1.1047424417269909, 1.1063254547708408, 1.107474840616807, 1.1104742332031066, 1.1105313808866943, 1.112592094453722, 1.1136088423890107, 1.113807674523718, 1.1186779485456486, 1.1197843020629004, 1.1239863364253435, 1.1340301584121357, 1.141946638270238, 1.1510053041505055, 1.1546067960581126, 1.1616010019146017, 1.1629759940053612, 1.1632129891143057, 1.1691754340612015, 1.1714601475986262, 1.1734705539770767, 1.1758155210033723, 1.182821005585113, 1.1853818798669804, 1.1979436173501823, 1.2000786882093095, 1.2001392650961293, 1.203601376468915, 1.2061201016957073, 1.2104298925042534, 1.2108396388138138, 1.2146286655243455, 1.2217455743670682, 1.2269261225651185, 1.2320888171628104, 1.2331336250589282, 1.2353260325326394, 1.2385943914679696, 1.2485929719200706, 1.2523047341726123, 1.2553388518551076, 1.259774698199619, 1.2617375800882227, 1.2617693115184456, 1.2645754705776584, 1.265052236948862, 1.2681923088221796, 1.2703586290554982, 1.2726196175364488, 1.2728816064526844, 1.2821075932340091, 1.2831235749367058, 1.283478182640714, 1.291265059476632, 1.2950655558561621, 1.2956952674678308, 1.296913052502437, 1.3040512255717578, 1.304472677089783, 1.306474128544676, 1.3065882738029935, 1.3092776136061568, 1.3111834069856458, 1.3117799701372428, 1.3144297421298974, 1.3164307540607683, 1.3247483287226978, 1.328706244492851, 1.3295149319450643, 1.3333809776681733, 1.3357232155186807, 1.3372360685447862, 1.341517447666365, 1.3444956122972782, 1.347052481237075, 1.3499682560964466, 1.357444037430818, 1.3578832284749027, 1.359614315092743, 1.3610532651534875, 1.361443517158821, 1.3631661716188324, 1.364395302733141, 1.3654376390391916, 1.3742751101754784, 1.374922266779373, 1.3834535510986914, 1.3840024069888668, 1.3843562834751557, 1.38805001534815, 1.3893494758105833, 1.3919978285569399, 1.3921159128869045, 1.3939322204623625, 1.3968751273644913, 1.3979624653864888, 1.3982739152698545, 1.4024916572728143, 1.4132673388161379, 1.415479631327933, 1.4160123587439593, 1.4180102304993174, 1.420634890905893, 1.4225274333835618, 1.4247523840985667, 1.4303407034575275, 1.4312743418569278, 1.4337866181296395, 1.4365247513276658, 1.4396252526860671, 1.4436246712027265, 1.4459184776965874, 1.4498841126013955, 1.4509077262546293, 1.4559773245903598, 1.4575922743493206, 1.4608646865611086, 1.4614214885984016, 1.4650395434447763, 1.472220289204307, 1.4735032029800181, 1.4775848564438143, 1.478852891290572, 1.479033344071565, 1.4862201377091953, 1.48775601484927, 1.4891550304888688, 1.4903256326696215, 1.4906796489149794, 1.495665722865743, 1.4961755281895432, 1.4983881195510083, 1.498691883394472, 1.5021927172607072, 1.5032460545295097, 1.506268064962713, 1.5065259279453582, 1.5104497965466883, 1.5144099761094474, 1.5168594026780133, 1.5195061918433936, 1.519735418837228, 1.52439723688898, 1.5245738114798286, 1.5273049547484219, 1.5282415855323976, 1.5320082699488202, 1.5321084652424122, 1.5341448707059664, 1.535814397363034, 1.5410459230939797, 1.5411666007670821, 1.5413797262844895, 1.5453804609009056, 1.5455747043656183, 1.5470006880244445, 1.5477162343952413, 1.5495610764584609, 1.5511537941636342, 1.554122296689946, 1.5587034444414012, 1.5644459864781741, 1.564896762914424, 1.5692227381796464, 1.569225257666416, 1.5716937366634025, 1.5774924361320632, 1.581078102974885, 1.581107265630516, 1.5830353922943365, 1.5834336163118008, 1.5880916044565445, 1.5893703962375, 1.5943594061678752, 1.594809924047697, 1.5958392879271608, 1.5995161802739033, 1.5998126631018181, 1.6017498020343393, 1.601995530496154, 1.6027994377423316, 1.6058096647084188, 1.6122150591192048, 1.6125205107477056, 1.6137520463303654, 1.6174760068062402, 1.6179798391951348, 1.619503113588044, 1.6203639291312812, 1.6231125745596084, 1.627094739003803, 1.6272187027162937, 1.6279015207356582, 1.6288149156006304, 1.6329900425509831, 1.6350955830913172, 1.6357120399076945, 1.6389976492107032, 1.6449623167676377, 1.6455788379955973, 1.6463210431040785, 1.6471718718787758, 1.6497972792026143, 1.6527338920604726, 1.6560869971714507, 1.6592002318107144, 1.6610445963737868, 1.66176364841637, 1.6630603792699712, 1.6674500359375422, 1.6676038991964577, 1.6719540802036719, 1.6749461024836385, 1.678066487331999, 1.6781520763420201, 1.6785685830839674, 1.6796297732771537, 1.6799389766759463, 1.6811808786318534, 1.681185025549437, 1.6857084215946048, 1.6904685326442197, 1.6913732680107796, 1.6932223119520304, 1.6935438667118348, 1.700045191605451, 1.7013082736914205, 1.7020295299548904, 1.7032777214011872, 1.7060816671646468, 1.7075847117284297, 1.7085509739265874, 1.7093963826255945, 1.7111271648596758, 1.7119065812581304, 1.71405425826226, 1.7164633756711245, 1.720470593493858, 1.7219417107048336, 1.7233560696574461, 1.7245736481499465, 1.7248253321856213, 1.7261449607752115, 1.726783272206243, 1.7290777936564856, 1.7316389910312575, 1.7352896786621281, 1.7375104956323109, 1.7400091827363273, 1.7416888700825974, 1.7425861881804436, 1.74375616563393, 1.746134130796804, 1.7482177978492373, 1.7491023863375836, 1.7529484387620058, 1.7546390363458588, 1.7570360798022917, 1.7591235265830412, 1.7592915817464934, 1.759903160406443, 1.7611774264108693, 1.7622943357268872, 1.7630781155758435, 1.767101621315775, 1.7674250141005332, 1.772042638508274, 1.776073618764408, 1.7766906336499193, 1.7768280882753245, 1.7789109709216915, 1.783489554913882, 1.7863006864298354, 1.786697737387437, 1.7869826453936009, 1.7893099485736235, 1.7910584312466176, 1.7927651434244123, 1.7931435522901098, 1.7962649121383838, 1.8013941288943585, 1.8024365436432772, 1.802685184978776, 1.80798527289258, 1.8096235419895716, 1.8109755510408492, 1.8113382542373186, 1.811816107279026, 1.8156377506388162, 1.817906855879747, 1.8185007066764811, 1.8213929618688625, 1.821999497823167, 1.8240888806792068, 1.8245432890661128, 1.8263259264434544, 1.8291663797398219, 1.8326349773339847, 1.8331632538916416, 1.8334861972262866, 1.833559529286363, 1.8349164217832754, 1.8388929288606708, 1.8426847537174278, 1.8461260494277674, 1.8471759008169217, 1.8480198939554473, 1.8482563410069954, 1.8536060126090455, 1.855255856517571, 1.8566220635669721, 1.8587891733323019, 1.8612479785895495, 1.8621717732660468, 1.8630313422756535, 1.8659153236271069, 1.866110847699994, 1.868067892988957, 1.8693807466391001, 1.8710005684479376, 1.8710048741175545, 1.8746244669222878, 1.8769458366746985, 1.880885734352706, 1.8829427866343846, 1.8839511408587999, 1.8839620265629835, 1.8910035419823397, 1.891909962295048, 1.8933228330589997, 1.894465614236675, 1.895085229224382, 1.8972831081550312, 1.9002337533778344, 1.90148951104889, 1.9028053671936174, 1.9044716750916049, 1.904664381496752, 1.905926173075278, 1.9072177548021993, 1.908090511830801, 1.9086707799408464, 1.9088245558971884, 1.9105403742217868, 1.910738778103902, 1.9120581702543387, 1.9144123753839362, 1.9188584084931688, 1.9242447928629378, 1.9296434564110128, 1.9329305956533518, 1.934206578429397, 1.9395821397322845, 1.9420342395818115, 1.9432710164055238, 1.9454313289943788, 1.9454744410770466, 1.947320897944025, 1.9478418551371834, 1.9494212803773656, 1.950062209392078, 1.952327733251461, 1.9546554544932935, 1.9551990995632367, 1.9556710693776957, 1.9571827950603486, 1.965802795639006, 1.9661592974862065, 1.9671428489491602, 1.9712491590207801, 1.971469076081652, 1.9759949872903064, 1.9788287675100253, 1.9805872649733114, 1.984262810972778, 1.9891599980670802, 1.9895324098652123, 1.9907380718445222, 1.9926061178065195, 1.9956297786638713, 1.9959661571873473, 1.9991952163438447, 1.9996871726914145, 2.000000000000003, 2.0006470375210395, 2.001243590860587, 2.0016684202083885, 2.0027766093619186, 2.0039301698837138, 2.005177549432904, 2.0065633604452584, 2.007223516481898, 2.0080833146122403, 2.0082369164555707, 2.0085711900240337, 2.0086604224879028, 2.01078588070051, 2.014372785001483, 2.014723393314539, 2.0148207664785107, 2.015147120472528, 2.0161562520280167, 2.0175428044398487, 2.017821561664101, 2.0190815358001335, 2.0196802132137424, 2.020533128130681, 2.023750411732813, 2.0253413579627355, 2.02619553210427, 2.026618107338767, 2.027096928245325, 2.0277296223513748, 2.0278653481581, 2.028295528427639, 2.0288521938072193, 2.0294654852452734, 2.030733294274215, 2.031237776591034, 2.031328608586422, 2.033163801213473, 2.0335539668275464, 2.0340785402442854, 2.034543165053819, 2.0346193094110667, 2.034836887947748, 2.035083789675357, 2.036099261423676, 2.038385012117286, 2.039006236823682, 2.0390430205237196, 2.0406191954850037, 2.0410435926610546, 2.0418968861222955, 2.042553265477832, 2.043487174932607, 2.0436438353156223, 2.044250291758061, 2.044574417216801, 2.045604912953686, 2.046900770864371, 2.0477840561168446, 2.048379860079863, 2.0491351217114335, 2.0498166345392557, 2.050087841787179, 2.0502188806553727, 2.0515502505861622, 2.0519628515352015, 2.052148832534327, 2.052836194059208, 2.0534444853393485, 2.0545083094701506, 2.056238698670026, 2.0563066333629765, 2.0574760212061585, 2.0605322190678557, 2.0606320221126473, 2.060993394563346, 2.062633691160091, 2.062915248225437, 2.0635765661213905, 2.0643378290726018, 2.0657683845404837, 2.0675562039887554, 2.0682653590513205, 2.069105005408902, 2.0699108892655453, 2.0710484892489305, 2.071190684698643, 2.072437309057192, 2.0740200974033094, 2.074154085756395, 2.074195785017485, 2.0747963773621465, 2.0757883432568964, 2.0759844180034333, 2.077014089714047, 2.079372202946376, 2.0799932016306166, 2.081581565511856, 2.082574467009148, 2.082846258305538, 2.0831848502454773, 2.0847050858564695, 2.0854069178365666, 2.085742469396883, 2.088811150650363, 2.0899260763198204, 2.090060028064112, 2.090769576411643, 2.0910296257533787, 2.0918426865637176, 2.0920816112761824, 2.0920863907060965, 2.0946822764581507, 2.0959107827018864, 2.09794538572343, 2.098336704634758, 2.10000138264355, 2.1007889664571717, 2.1022670681418214, 2.1038281930185425, 2.1039912641025293, 2.104487744599994, 2.1050637864729995, 2.1050870812843794, 2.1070659018428044, 2.1091332137790952, 2.110288254882268, 2.110609379638473, 2.11202675121583, 2.1130742976652312, 2.1143568832145068, 2.115214588033813, 2.1157632984095804, 2.1158188451587243, 2.1189651873407755, 2.1191498422328663, 2.12080574002589, 2.12101368596846, 2.1234582755802944, 2.1236657704032984, 2.1246302142990094, 2.12792134029542, 2.1282611003833973, 2.1291032119728595, 2.129589751761082, 2.1297840078148726, 2.130819638501915, 2.1311195774154923, 2.131888345891168, 2.132415146001749, 2.1326072379263805, 2.1348699851498627, 2.134899685915739, 2.1349312092816266, 2.1355294520093016, 2.135636613815961, 2.1365774446527737, 2.1377280456215835, 2.137903754829713, 2.1379969690278875, 2.138927262737278, 2.1401568165127873, 2.144254921220304, 2.144373670263875, 2.145464963562154, 2.1455539734421554, 2.1469454206736667, 2.147085332333084, 2.1492632044873643, 2.1497654686039893, 2.1505248564023782, 2.1522508976781456, 2.1524876213396147, 2.1546944184486585, 2.155314969038048, 2.155770640201077, 2.156027791212837, 2.1568835513750813, 2.1577255673385274, 2.1588030965199403, 2.1591396240734038, 2.160351357999059, 2.1605637784294203, 2.160662084044936, 2.165311125958508, 2.167028682549796, 2.167458927406454, 2.1683715696422117, 2.1684914997628946, 2.17052950024389, 2.170965954891984, 2.1743366196103913, 2.1743856504547914, 2.1770782911810107, 2.1838549751838263, 2.1866424621808, 2.1897347697605634, 2.1964132561710046, 2.1982035719738677, 2.1989312073807725, 2.200265443597194, 2.202097317624523, 2.205943532943358, 2.212466679128298, 2.2136378447159353, 2.2147056176368065, 2.2150837564527257, 2.2173758248489257, 2.21799906051684, 2.220675730333993, 2.2220221411092047, 2.222299740931223, 2.222565777415628, 2.2282191287428548, 2.2323320854943285, 2.2334592626553005, 2.2341285213950104, 2.2420561756490542, 2.243402887121865, 2.2445506300634315, 2.249987320514385, 2.25683673489347, 2.2569132963530802, 2.257780389166389, 2.2578877787466305, 2.2584959788097865, 2.2604657593456907, 2.261444196546317, 2.2616650423722553, 2.2661463135644766, 2.271707918256234, 2.2726221553451103, 2.2733186495593354, 2.281445578251739, 2.2858504725935096, 2.2862926354530653, 2.2865508895213864, 2.2905226619074304, 2.2979618624960967, 2.2983020836942836, 2.30584121637506, 2.3077525194242234, 2.3105255788837233, 2.3192468979673153, 2.321672985560054, 2.3240553487417506, 2.324140830271369, 2.32431746987507, 2.3280388765237725, 2.3291152102959227, 2.3293356571308146, 2.330800279881578, 2.3310471181453445, 2.3313945552176367, 2.3317398177906323, 2.3332151402085928, 2.33455517072958, 2.3379570988488263, 2.340049489794136, 2.341735133984543, 2.3417724818095946, 2.343859811973593, 2.3438619111972865, 2.346251197554737, 2.347627826974244, 2.3511221775663524, 2.353617041644764, 2.354719548852102, 2.357288283995808, 2.35847372339545, 2.359521014627092, 2.3595424290952782, 2.3598499473353125, 2.3629798696385147, 2.3635103027559525, 2.3653422024813757, 2.365911464396582, 2.3667390870853775, 2.3668026118149044, 2.367673300919066, 2.369410283477643, 2.375895851248178, 2.3793374799091525, 2.385296452526209, 2.3865026683146624, 2.3949721740221963, 2.3972724352290125, 2.399588870553581, 2.400994112265321, 2.4098426556674735, 2.4111410133603677, 2.4126018751452474, 2.4204116403446196, 2.423635203120021, 2.4295195254018562, 2.434888995011541, 2.438466912103827, 2.4389375820392925, 2.444749566444893, 2.472017081455728, 2.4789229455116075, 2.487256768066233, 2.4936881819797514, 2.49479151877705, 2.496395976290593, 2.503240947467958, 2.5044828390348273, 2.5053046780170356, 2.5060589136022458, 2.514875129601844, 2.5160467409091027, 2.5234522167412026, 2.5286911213009864, 2.533363652655219, 2.539075554157637, 2.5463400787407346, 2.552051595940339, 2.5553713865745578, 2.5569304115857476, 2.5582734762153665, 2.5587458595584653, 2.559131424836574, 2.561756272342418, 2.565592474548114, 2.5664034334985004, 2.5669956977498263, 2.56780365817733, 2.5708759865367097, 2.5715110211000267, 2.577354899946761, 2.5792895096946378, 2.5828830701941095, 2.5850781451980933, 2.587955548497767, 2.592861155911936, 2.5936557535058764, 2.5973186938392185, 2.6074201209154957, 2.6090803116478707, 2.6098365809086346, 2.610656658799802, 2.6109285073003194, 2.6138653749947567, 2.6154606656004704, 2.615563441261524, 2.620458697490114, 2.6215437894548055, 2.62168303444685, 2.626005523038849, 2.626981932021899, 2.628689456750142, 2.6300151289773286, 2.6311853778128587, 2.6327817795496222, 2.6340935252853592, 2.634675706398047, 2.638503796055833, 2.645239413492611, 2.6482179422124985, 2.649715789806655, 2.6501728192484597, 2.6532785371977345, 2.6534111103405547, 2.6563042508555275, 2.6581278582909236, 2.659765037225529, 2.6628427607824534, 2.662977587594482, 2.66755029107144, 2.6730674538233807, 2.6735441592112354, 2.6743168403230224, 2.677226403069975, 2.6820485540117374, 2.682850122570254, 2.683685551435297, 2.6839916912739614, 2.6857370493922037, 2.6858701324956953, 2.69070114723631, 2.6937777315188556, 2.6942675900407527, 2.6943080432908206, 2.6943706092581414, 2.6959112755670023, 2.6971806163498484, 2.7009890400133996, 2.7053813163864255, 2.7059086425484087, 2.7089374749340527, 2.7105446532952677, 2.711020547698697, 2.7134630655158087, 2.715098209780271, 2.718480776196187, 2.721647239091773, 2.7222036181924905, 2.7234298497242464, 2.724424542176899, 2.726758502711293, 2.727208946919115, 2.7281137257228503, 2.7283554051702708, 2.7331303151354103, 2.733270235655949, 2.7343763249068336, 2.7345889181186487, 2.7364060206447567, 2.738107924904098, 2.7419476938358014, 2.742280142444153, 2.7427080263990913, 2.743060358156588, 2.745818326265878, 2.747021048656564, 2.7485388816732645, 2.749375768485401, 2.750840090320371, 2.7519720863348076, 2.7519915058620725, 2.752518871621266, 2.753234347624723, 2.75550166100276, 2.7557878125190656, 2.757816298754731, 2.7589805639278087, 2.759608845621763, 2.759980283564967, 2.7605465090732917, 2.7634714841224763, 2.763672401740945, 2.7649404992102293, 2.766324095992928, 2.7666041113680127, 2.7677007340817936, 2.7678808562190595, 2.770764561131154, 2.7757535433445035, 2.7779886876631608, 2.7782885947253773, 2.778757882761581, 2.779449033085642, 2.779811949731055, 2.7818842753403814, 2.7832165412611602, 2.783484363862281, 2.784635625829403, 2.78467604956415, 2.785566649445315, 2.787326519999181, 2.7875682308988114, 2.787654037987264, 2.7877438655857025, 2.788616666261257, 2.7904345183556134, 2.7907106544728313, 2.7954007337813507, 2.7976425160490397, 2.7983739075891276, 2.7984356833905535, 2.799447746489594, 2.8019041389631174, 2.8075994649588516, 2.808300331398801, 2.808536417885941, 2.8143088486993286, 2.815655956904484, 2.817158604215177, 2.8180892326478792, 2.824425557047178, 2.8285243488805523, 2.8290228761829046, 2.831676496266347, 2.831776756316356, 2.831900933360015, 2.8324658656932225, 2.840946996504463, 2.8436239327496193, 2.844322366802085, 2.8490557511500514, 2.8532506356617144, 2.854256978993867, 2.855956482561913, 2.856234547710095, 2.8583156081079597, 2.858456296467799, 2.858787029345569, 2.861435404700698, 2.862299605964895, 2.864668755268282, 2.8651548188209572, 2.867682170821894, 2.8690625329364576, 2.8699042340662304, 2.8743836319932696, 2.8751179392167923, 2.878673385723904, 2.8791551283773518, 2.881185205488971, 2.8836041623216673, 2.889092340915418, 2.8895919839347335, 2.8896292437118025, 2.8903368073393882, 2.8914907850011096, 2.891955035457786, 2.8948203250019233, 2.8971258605215375, 2.8976915845337556, 2.899482726431236, 2.9010758261721903, 2.9026050773727787, 2.903077051925095, 2.903281398866802, 2.9051880235730727, 2.906469046657424, 2.9092691438784386, 2.9100652837605776, 2.9106651206412923, 2.910707028685271, 2.9109673891176877, 2.9140322176397686, 2.916475142019846, 2.9187946658119057, 2.9188550347056594, 2.9200561968353203, 2.9219838574320427, 2.923082065617366, 2.923129395861708, 2.932191834795974, 2.932774980381253, 2.9328539771690094, 2.933657625648754, 2.9403523342063056, 2.9406496583744066, 2.9434125208847983, 2.944456776284065, 2.9445191125987735, 2.9452741764759036, 2.9454276012658487, 2.9455145428519813, 2.9470527053565445, 2.9487156171916737, 2.9497504094541513, 2.952471899599961, 2.954397078646471, 2.959363175193165, 2.9602221171264236, 2.9611405507951067, 2.9647672085384227, 2.9658299586507035, 2.9683105994350876, 2.9690118783562243, 2.972287553593524, 2.9729624145367746, 2.9733282842816116, 2.9741735751285105, 2.9747532486907646, 2.9751407417542914, 2.9751909093672118, 2.9763643163304265, 2.9767441355790685, 2.977217494397279, 2.9790423789582423, 2.982292416328392, 2.982692002688739, 2.9833486777783955, 2.9835634817636296, 2.9869957291034805, 2.987005864551608, 2.990601869939291, 2.9934851120442136, 2.995132532556809, 2.996719254809171, 2.9977319481205584, 2.9983244332035435, 2.9998203935827665, 3.0022192114117225, 3.0032721702456637, 3.003475283177371, 3.0048936710843606, 3.005243289162366, 3.0070605930256202, 3.0080967908254, 3.009919928680023, 3.009993404888505, 3.0106510598232306, 3.01225033234285, 3.0156120490238134, 3.0162078722888124, 3.0163277808167046, 3.0164532327785305, 3.022400739420705, 3.023956128474427, 3.0241523214541695, 3.025180537280938, 3.028145654787972, 3.028471219562612, 3.0306102973072395, 3.0309164479916726, 3.032506418908433, 3.0333560573042657, 3.036525714689955, 3.03739594580919, 3.040481052008083, 3.0438333067692485, 3.0440213103102622, 3.0455446997866393, 3.0477963358802516, 3.047998756446407, 3.0490380951523126, 3.0494278976762192, 3.0528235700693602, 3.0541122220492616, 3.0559691900436032, 3.0566562140226243, 3.0572934397059393, 3.0586554260562324, 3.0618719583453724, 3.062127182967371, 3.0640366630861076, 3.0664712313481237, 3.0682422163507987, 3.0690169742281816, 3.069451338685189, 3.0710647188360625, 3.0739412763355456, 3.0745153130445613, 3.0755351751488944, 3.078859753135486, 3.0790214797485436, 3.0803333696603996, 3.081954144538109, 3.0825041091660226, 3.0826806723630527, 3.0838290658491467, 3.084152365371506, 3.084513939665578, 3.084671735914362, 3.084682966707846, 3.0853350422892447, 3.0857076844946283, 3.08688879353031, 3.0871285404949056, 3.0877000491096678, 3.0880416923751346, 3.0887264544584903, 3.088790415372547, 3.0890551298477757, 3.089372474504472, 3.089482212303481, 3.089865167824489, 3.0916479527208978, 3.092120593805263, 3.0921393057801283, 3.0923487163333525, 3.093319688005405, 3.094063800234784, 3.095213724091169, 3.096182155744758, 3.0962425707987524, 3.096488620033348, 3.0971580286823226, 3.097935761897518, 3.098313526214339, 3.0994775976991646, 3.0998725803040683, 3.10026521538706, 3.1015270695186077, 3.1016921112348, 3.105189750222566, 3.1052121050252075, 3.10542493905707, 3.106466637986755, 3.1068298417625653, 3.107506750405566, 3.108159803392497, 3.108620240094225, 3.10895211455375, 3.1105915646691673, 3.1111167325209577, 3.1128990294566923, 3.1134545223949597, 3.113857573101588, 3.11415512693489, 3.1149069279587205, 3.1149229247818306, 3.1172374201036868, 3.117367701759563, 3.119198278927643, 3.119854287784683, 3.1201760278639417, 3.120563900121921, 3.1212707867223584, 3.122372445356256, 3.1236310456934424, 3.1255613547629895, 3.125702373755767, 3.1259932208558396, 3.1260234429997236, 3.1269308821595905, 3.1287439437570534, 3.1289042739068096, 3.1304144450139115, 3.1309238851995183, 3.131486248699262, 3.1320887091902936, 3.1332327315518227, 3.1336011263852788, 3.1338327912854598, 3.134112255760034, 3.135615872070047, 3.1364100955511542, 3.1379035056550957, 3.138322709521215, 3.141197048574146, 3.1426002911029958, 3.143197988791455, 3.1450073879735467, 3.145133254427161, 3.1458935030822817, 3.1474392149735224, 3.1479909871188667, 3.150226884772607, 3.1508981044768074, 3.1513511591310865, 3.1514129936717428, 3.1548547435569767, 3.1552777857718004, 3.1566334462876116, 3.1609358448461777, 3.162386325030354, 3.1628869756904887, 3.163449312229391, 3.163497394181306, 3.164147834095818, 3.165331505487586, 3.167552003344363, 3.168893836662294, 3.1692103981351174, 3.16934754204748, 3.170919878866676, 3.172375875134129, 3.176878805562793, 3.178226687309098, 3.1782743992139126, 3.178479005116824, 3.178679081666074, 3.179334834001594, 3.1816515271922463, 3.182161574901257, 3.182893362043717, 3.1832380802477114, 3.1840945049593294, 3.1854309947365094, 3.1857072180716908, 3.186053536792397, 3.1871263808331074, 3.1879721964082304, 3.189455055482093, 3.190848676656165, 3.1913850200600318, 3.1954102661588926, 3.1957982528163607, 3.1960031230851347, 3.1969421040604105, 3.1971693654797644, 3.197508432360484, 3.199727908598156, 3.200085350771319, 3.2006520487604186, 3.201018448883072, 3.201458922084923, 3.2021663872605095, 3.203483797107013, 3.2045296744865555, 3.2047036360854135, 3.2056348577680813, 3.206694115064033, 3.2076055499099643, 3.2077875540776404, 3.208311148422931, 3.2085589276294155, 3.2096461181779103, 3.2096499590056142, 3.2104957512077728, 3.211920736744109, 3.2151906794986824, 3.2153554610548976, 3.2168143028208283, 3.217924576378528, 3.2184548946868765, 3.2185790801988077, 3.2217609190884877, 3.222668417703794, 3.2226697619533815, 3.2242691871923053, 3.2247352467850683, 3.2272825424552427, 3.2276215841101004, 3.227654467260945, 3.2279654531128403, 3.2282249018811764, 3.2282698035855546, 3.22904053581631, 3.2293311033326253, 3.230302336264534, 3.2303194839159675, 3.230384656546497, 3.230840368146283, 3.2309207889821225, 3.231132393052978, 3.2319323665097253, 3.23299118889905, 3.233409908846038, 3.2337049079058913, 3.234448465267889, 3.2347724099412134, 3.235252249750174, 3.2369234330651198, 3.2370077898729175, 3.238635502769994, 3.238858403756961, 3.239726562960131, 3.240133335674833, 3.2414766806879385, 3.241556561382701, 3.242522885056055, 3.2432939323018233, 3.24344951257345, 3.2442686930820113, 3.2453598376710024, 3.2460980918217937, 3.246932791563611, 3.247596273899783, 3.2480705096268614, 3.249461004848549, 3.2497204771917474, 3.2510512630734762, 3.2523517365437415, 3.254198370845453, 3.2560531979238054, 3.256077753415443, 3.2575716152775662, 3.263546464589089, 3.2670328256511034, 3.270076124013844, 3.2714022328777457, 3.27192975077747, 3.2733130281795044, 3.2742339265482996, 3.274363551634437, 3.2774355861363533, 3.2783412601934905, 3.2806471673355464, 3.2825546383645707, 3.283101794407978, 3.2854249095569457, 3.285942980867868, 3.289673215846053, 3.290145622827077, 3.2907563622234624, 3.2910103295947186, 3.2925555161067024, 3.2930259240088207, 3.294643166383824, 3.297415843988565, 3.298047449862109, 3.299510921734592, 3.299957187882893, 3.3025577884387083, 3.3049526208094093, 3.305102885133688, 3.307874555749692, 3.3079283597332476, 3.3098755208659223, 3.3105691236421397, 3.3108694934706, 3.31235904124089, 3.31302732091344, 3.313102759866164, 3.314237719501914, 3.3160441033413433, 3.3166689483212184, 3.318712336085327, 3.3189533075259137, 3.319072556456004, 3.321135748758103, 3.3229129986427495, 3.323526619365256, 3.3236509823739695, 3.3246305977574724, 3.325018383090738, 3.3267547995254834, 3.329511663475893, 3.329645836561601, 3.3296927226971196, 3.330869075551893, 3.331392791254538, 3.333225373082934, 3.3332263869688785, 3.3348188692036724, 3.3351318763625377, 3.335602231092644, 3.3360934763984793, 3.336741611888331, 3.336997177056426, 3.338049307894947, 3.3396864941541855, 3.3411044438949826, 3.3416524307176525, 3.3420160557130814, 3.344126583231285, 3.344403433577112, 3.345124108212073, 3.3477059083501977, 3.3496549923576917, 3.350575708524549, 3.3522629684550687, 3.3523149885886947, 3.353046185132761, 3.3531606798205122, 3.354192342056148, 3.3544229986900604, 3.3546463856886644, 3.3559008556705066, 3.3567248165250634, 3.3580692046074128, 3.359501724034597, 3.3618126255054945, 3.362005625301848, 3.3620994213509445, 3.3633251355204186, 3.363375269921151, 3.364808929792936, 3.365887685412093, 3.36619503780737, 3.3662185371499698, 3.366774226298636, 3.368159875672381, 3.3690014196287477, 3.369167049591048, 3.3694233152045636, 3.3701658359825486, 3.370559335551666, 3.371673020310807, 3.3729165150841265, 3.374333078617549, 3.375718903656541, 3.376037089335315, 3.3764107441990485, 3.3773036016940803, 3.383111973320247, 3.3839297495169234, 3.3870133729690983, 3.387333577099746, 3.388170303560881, 3.3896162636125124, 3.393700410768885, 3.3960415996728748, 3.3963461378142425, 3.3967945840475635, 3.3981801855590463, 3.398936309321775, 3.4026654038048063, 3.4031659559917693, 3.4037713550300963, 3.409199552016474, 3.411281030870326, 3.4118354367495964, 3.4125041938788794, 3.414603426566324, 3.4166256896072804, 3.4170338068009762, 3.419241425244037, 3.420757900644601, 3.422246020891471, 3.423530737702201, 3.42372466964927, 3.4252114084564993, 3.425281184568834, 3.4266448604686626, 3.427334994931575, 3.428224402800324, 3.4291565714806502, 3.4295924103401485, 3.429616576838891, 3.432113023374407, 3.433131377591148, 3.434191124542861, 3.4398557025250334, 3.440530523666064, 3.4430619502039495, 3.4444752460926313, 3.445874033796208, 3.446714758908864, 3.449163960301, 3.4531437730439163, 3.4541063043691618, 3.455659786602085, 3.456369742533117, 3.457210662505357, 3.459854531762764, 3.461158267497968, 3.4621957299385167, 3.46531035405033, 3.46618477626292, 3.4663309911523643, 3.4710067684128765, 3.4740670436323535, 3.4758551714925026, 3.4774873192123366, 3.4797969847690795, 3.482955967994659, 3.4849647171241367, 3.486816190895742, 3.487191955663046, 3.488103106705712, 3.4904885115373996, 3.4923731953445656, 3.4966571951659735, 3.499479505305859, 3.5054449321358567, 3.506205423923641, 3.5098556687442084, 3.510175623607405, 3.5116253641018154, 3.5117194804083627, 3.511931004095784, 3.512429707980713, 3.5141954730024847, 3.5175230894132277, 3.5186612863695035, 3.519807278560611, 3.520438105488275, 3.521571668750978, 3.523296186527247, 3.523874974663786, 3.523897098422197, 3.525901309843758, 3.5273343523330243, 3.52874535189987, 3.5300859557990445, 3.530716849831141, 3.531303641462885, 3.533800280469122, 3.534014311339585, 3.5340961585469484, 3.5346104066383197, 3.536136435735803, 3.536249398475331, 3.537179192110055, 3.538256420159905, 3.5384164033786907, 3.5386090193763335, 3.5388882158320905, 3.5399318820972905, 3.5437182788607773, 3.5440266720506997, 3.54408357351822, 3.545237167738917, 3.546072541231589, 3.547334165249283, 3.5476067129665916, 3.547933887321409, 3.5484685387277146, 3.5490815729560206, 3.5515628758891973, 3.5525092562651515, 3.5537803560257095, 3.5542195379965014, 3.555124436987735, 3.556139635455397, 3.556953052606249, 3.5575581908407328, 3.557765578541912, 3.5595762976049876, 3.5597248037485767, 3.562848397530581, 3.564142149249042, 3.5645554918475284, 3.5660613426536005, 3.5680245804723505, 3.5682908982551904, 3.5687370499355158, 3.5723376491001035, 3.5744383862071794, 3.576225048547241, 3.577958450655117, 3.5802720403304273, 3.580456778913975, 3.5867741913513593, 3.5867922987712855, 3.5875459989330825, 3.589023513152835, 3.5909646130314883, 3.5924351651037183, 3.5926889351640807, 3.5941527992133326, 3.5954538469780215, 3.595560371572532, 3.597961588125946, 3.5984015580104463, 3.5993476704487892, 3.60265111658047, 3.6042883118791043, 3.6080313645355684, 3.6089524623056777, 3.6123179570621824, 3.6160324477156633, 3.6167902888148764, 3.6168071032530187, 3.61863353923669, 3.62056681660564, 3.6221444988851923, 3.623569205706162, 3.624212449010945, 3.624983962174241, 3.6268949393651453, 3.630843711999693, 3.6310478747933708, 3.6325705356604905, 3.633751906541604, 3.634381886194111, 3.635517544778025, 3.6357722282842455, 3.637329248324052, 3.6385731610928924, 3.640039750540154, 3.6424318197487113, 3.643777874163861, 3.644850479434258, 3.6465579165316604, 3.648133433735094, 3.650989851076166, 3.6517153989695657, 3.6556936270213902, 3.6559910085769247, 3.656052093004572, 3.657279282406197, 3.660242591779242, 3.6616798257576155, 3.6641233506430546, 3.6641533295590847, 3.6661553519972196, 3.6681534382756302, 3.668633722817923, 3.6719947582733425, 3.672141806987145, 3.6752043914977377, 3.675426460456173, 3.6758183766898385, 3.676020590648167, 3.678086789043062, 3.6782573105560403, 3.679355696962736, 3.679480515824947, 3.681895014648294, 3.6840568141051064, 3.685613136399283, 3.6856728835330084, 3.687092427875985, 3.687186762240025, 3.687712088110746, 3.6883505977511954, 3.6900815674636775, 3.6901078942985497, 3.691130726305234, 3.6949203844517315, 3.696546037940054, 3.6966579356245393, 3.6991231948967735, 3.7022694996999372, 3.7080306048179428, 3.7081599709588735, 3.7085854242106366, 3.709939739549914, 3.711035452443233, 3.7128835930854693, 3.713151537364918, 3.7133092904330893, 3.713414303397852, 3.715147446038564, 3.7153815019137633, 3.715974283168236, 3.719026679211882, 3.719161717996635, 3.7211426388914837, 3.7222993465729375, 3.7225090340273916, 3.723245738973675, 3.7232746950512867, 3.726569265468173, 3.726984417105116, 3.7276887418890308, 3.7288124528901347, 3.730691465006246, 3.731055857450568, 3.731795540132571, 3.7330819294811066, 3.733316612289141, 3.7334263381064994, 3.736030469253382, 3.737512473576795, 3.7379012302606047, 3.7381378016045685, 3.739000877114388, 3.7410609114440976, 3.7420740881618677, 3.7427976152495925, 3.744824486847439, 3.7448827045824213, 3.7494584279669576, 3.750379014231131, 3.750890572670706, 3.7510712495347067, 3.7521215570088087, 3.752485781502229, 3.7556423917737782, 3.7560583986787477, 3.7572130828606825, 3.7593626705762078, 3.7618784483008074, 3.762802725605539, 3.763163695065083, 3.7633626859710048, 3.7645958518181226, 3.764711484026814, 3.764910419033848, 3.7651114044166003, 3.7667783149773197, 3.7672299617158695, 3.7674075532203966, 3.768254036172433, 3.769544816417875, 3.7711561246750156, 3.772461496113679, 3.772633160335664, 3.7729088476614585, 3.7753189898396426, 3.776342641518533, 3.7780048972915714, 3.778612013198866, 3.779468707622017, 3.783029296517379, 3.783901675517824, 3.7862272588923744, 3.786756719523701, 3.7870896644696748, 3.7890318022153475, 3.7899249782140454, 3.7906896762058424, 3.7914956833166458, 3.792272052280013, 3.7933850565140395, 3.79422585131798, 3.7963184926909506, 3.7973439954991095, 3.7978162446696166, 3.799994968413657, 3.8007792970935954, 3.801465721234936, 3.8109192824319207, 3.8229477343909606, 3.8271772301873863, 3.8279533662486998, 3.8312043277160566, 3.8321198823411686, 3.8338670780823123, 3.837610594167056, 3.8411711536019313, 3.8468991508596395, 3.8473462007195356, 3.849202218318796, 3.8518988136844086, 3.8519680250967694, 3.852762934573307, 3.8534690165412937, 3.85379788587358, 3.8567491359674726, 3.858127628394607, 3.858290939566235, 3.858362596002825, 3.8597652572917025, 3.8609287197795075, 3.8655318116712447, 3.866575428790774, 3.867207973778851, 3.868584106624882, 3.8716316889611204, 3.8737374327810437, 3.8745001271350716, 3.8747824158998307, 3.8769905709759525, 3.877287830631887, 3.8778897360100895, 3.879980980781203, 3.8813817580320404, 3.8814992197152915, 3.8815239269531654, 3.884371036325126, 3.8902447876339337, 3.891773979833434, 3.892117895065199, 3.8930614134014307, 3.8973398052690573, 3.8988208219617855, 3.8993959839404835, 3.899573731656856, 3.901388662711976, 3.90269806965921, 3.904785301883452, 3.904811695520644, 3.905283464620297, 3.9054033331921016, 3.911142212409425, 3.9114784493379338, 3.9114846887162655, 3.9127688219732217, 3.9128012276397475, 3.914327446110228, 3.916002237592338, 3.9169511316698156, 3.923387832687224, 3.9239641306013926, 3.924689047660171, 3.9311840422102486, 3.931352125512278, 3.9317513673013744, 3.9335488493279427, 3.9426290406133537, 3.943055456719538, 3.945139872158437, 3.947517750271906, 3.948798612062946, 3.949368044414335, 3.950158043060148, 3.9535574336664476, 3.955659101507563, 3.9562984986545704, 3.957374877208876, 3.957413052303686, 3.958052010217723, 3.9592243192450893, 3.9622115291481785, 3.9625682218730716, 3.9655982212964656, 3.967726589497175, 3.96867680566534, 3.9727238969772456, 3.9732477850330663, 3.978127410146776, 3.9795691114491616, 3.985075441125146, 3.9863572071541173, 3.987272773555094, 3.9922674288927444, 3.9940880287815683, 4.00000000000001, 4.000615539918721, 4.006805278824811, 4.008032207158605, 4.010290682034302, 4.012924624622762, 4.02525387114887, 4.039593553216989, 4.04017308325915, 4.040584810559919, 4.04484914346487, 4.045926964486584, 4.048578903157837, 4.050270468294699, 4.053939097366071, 4.056087468929588, 4.060278425261476, 4.062071578470781, 4.063752475930706, 4.069015721698029, 4.069505394409003, 4.072463552831725, 4.073950728603649, 4.076895208433009, 4.07689542201724, 4.083683245420636, 4.085395352685262, 4.086342153115862, 4.086841226578934, 4.09050842646227, 4.092819279588463, 4.093420145233057, 4.093539907986862, 4.095323133892788, 4.096501497434357, 4.0982988301919905, 4.098649239402893, 4.099286141131096, 4.102042975735128, 4.102061700174371, 4.104422824829128, 4.105914336206246, 4.106510006733287, 4.106568942735618, 4.108043049292301, 4.108328341830668, 4.108654077322299, 4.109030093437065, 4.110206740608905, 4.111319409809792, 4.112430137298758, 4.114832315682693, 4.1154045595782245, 4.1170038631100825, 4.11830005190828, 4.1191688186894995, 4.120399422255609, 4.122039837880283, 4.125011461113606, 4.1265306951949245, 4.1268279144932825, 4.127632110789461, 4.128026889624121, 4.12814642575066, 4.130365988563808, 4.130585605883854, 4.131521603760443, 4.131673583090439, 4.131697648161066, 4.132723188554702, 4.1344015861904015, 4.138889679418137, 4.139075802074124, 4.141540619954044, 4.143381994331991, 4.1472518019448446, 4.147370821061331, 4.151380353372126, 4.1518686651180445, 4.153148382511719, 4.153510603116575, 4.1554839260866565, 4.157726170318331, 4.158081036898895, 4.161780009323912, 4.1624280553236, 4.166083511768061, 4.168701961275756, 4.16925947528112, 4.1734935822247285, 4.176102489690299, 4.178335249662099, 4.178906604535904, 4.183140922237505, 4.184143088044481, 4.185229715377958, 4.187310477315914, 4.187804330897402, 4.190363189622218, 4.195804173310228, 4.1976746378415015, 4.198618166595967, 4.200987079256925, 4.202009616952513, 4.203321151773679, 4.205253173420918, 4.205708512843152, 4.210319186808966, 4.21316955843668, 4.214626466139201, 4.2148569455724765, 4.216683739581956, 4.219950986245088, 4.220398183253137, 4.222521848453919, 4.227320390127206, 4.2285091408620135, 4.229603086450747, 4.229981036663194, 4.2332235108091805, 4.23465780956477, 4.237425860381116, 4.237434032345411, 4.2399056308341, 4.24119268749567, 4.242257707474853, 4.244123521912467, 4.244669248221048, 4.245405894660116, 4.2465426190707225, 4.249371806075354, 4.249486475020109, 4.249658768816038, 4.25255544339273, 4.253183761961415, 4.2548179703707545, 4.255758000220018, 4.257280840701115, 4.258436371836035, 4.258898541845509, 4.261577041440757, 4.262053496196876, 4.264291098793854, 4.2649632537544875, 4.267286188046698, 4.268334522515967, 4.268873315201549, 4.270362146602753, 4.273451978355907, 4.273746460360591, 4.273952256604686, 4.274862943264898, 4.278837492762697, 4.28054487501237, 4.2829167689295895, 4.289726578170444, 4.296975858432564, 4.29698033962778, 4.2972298779913505, 4.3004973244686076, 4.301018533413785, 4.301200745138033, 4.302456314784615, 4.308463633798943, 4.311406868053822, 4.312450269304486, 4.312664340094977, 4.313767659811852, 4.3171230362872075, 4.317164844359303, 4.31926657971952, 4.319541391640355, 4.321116199972589, 4.323627454070952, 4.324949567481638, 4.3260288178972734, 4.32753373889225, 4.328952390270673, 4.329550517002527, 4.33023358872987, 4.332475952192369, 4.332986543616042, 4.332989403743565, 4.339217565459473, 4.340855200271692, 4.343477406866041, 4.345495372763128, 4.34695978272442, 4.347231683257633, 4.3522058687020575, 4.353209675866641, 4.3547253850390435, 4.3615789678636645, 4.364475555002418, 4.365813665942564, 4.367689481535407, 4.369278608310391, 4.373290482714963, 4.378482768222151, 4.383285851267828, 4.384721115402606, 4.386183287384977, 4.388307447307838, 4.389906652113796, 4.391628272525752, 4.394387257377123, 4.395079594369149, 4.39807640294339, 4.402677158315119, 4.40487979216788, 4.405723818702518, 4.408192044335352, 4.411453717726703, 4.412737757899351, 4.41563390088538, 4.417581038486458, 4.420503674246956, 4.421665031925129, 4.42358001291084, 4.425260198884273, 4.428525178430786, 4.432753992809671, 4.433147544389754, 4.434878803304052, 4.436529429562942, 4.437957974783705, 4.443404370117727, 4.445707997877585, 4.445744003700421, 4.449801165849377, 4.452571054605793, 4.453814370446907, 4.454152299507958, 4.454986368759465, 4.455824196072404, 4.457738122127514, 4.4582664018042, 4.461692959013741, 4.462757647593907, 4.46364702407814, 4.46433356937521, 4.465756459358101, 4.467545788446354, 4.46775876701122, 4.469109744997107, 4.470191203747997, 4.471223903518546, 4.471227917031159, 4.472802455504632, 4.47411764037623, 4.474719887407753, 4.475223202243673, 4.475877247005801, 4.477210182184323, 4.477400977488982, 4.478339700562018, 4.478734977494713, 4.480723506750755, 4.482011132365707, 4.482857725572921, 4.483686381422357, 4.485197332368365, 4.485302004964109, 4.486744239425666, 4.48676117747224, 4.486789647774871, 4.487910472113763, 4.4918386885441794, 4.492640210525522, 4.493231256869371, 4.495048326049873, 4.495142278402563, 4.496554769549523, 4.497728676394091, 4.498923618214183, 4.499041629738725, 4.499856148269149, 4.501146129193182, 4.503239050923123, 4.50380478989316, 4.504581956785346, 4.5071996440543565, 4.507831112819209, 4.509405349285822, 4.511382484952586, 4.511441058685225, 4.512478267574174, 4.513459789579259, 4.513747127383325, 4.514979362754843, 4.5158512685572525, 4.520600601849366, 4.522769389481408, 4.523299012715359, 4.523800036302507, 4.52585253155719, 4.5277256556693875, 4.528863988651621, 4.531042026113155, 4.533519802897759, 4.5347719903056385, 4.53620979461934, 4.537712343772888, 4.539840295769269, 4.539885169509388, 4.540007702328139, 4.541042970625629, 4.543272866886533, 4.544723600973984, 4.546270046323891, 4.546448364577095, 4.550758211245423, 4.551800397933442, 4.55361242005364, 4.556254809850948, 4.556456663778912, 4.5567439376622545, 4.556900256758886, 4.558146033319185, 4.55958372059304, 4.5612781717903985, 4.561893750944161, 4.562744323780727, 4.563606366237373, 4.563942369091814, 4.568279247351907, 4.570825602034211, 4.571524177927915, 4.573958651272192, 4.574181527478397, 4.574553298928908, 4.5759120759318765, 4.581232741858802, 4.582121085869607, 4.582298155311064, 4.582920878222383, 4.585568431775114, 4.585595982064819, 4.586634636384427, 4.5866686767878395, 4.587885997121522, 4.5899515259752395, 4.590901215719149, 4.593799324222464, 4.594806610285705, 4.596196667163842, 4.597020165070784, 4.597154328741631, 4.5981219753348865, 4.598329867815714, 4.601026401001745, 4.60324832213981, 4.604839105184133, 4.60586835734499, 4.608724876405763, 4.609199006624935, 4.609823449204735, 4.610320101743394, 4.614285684831656, 4.614571725539577, 4.616382123338116, 4.617039472970132, 4.6179082295577, 4.6193940923330175, 4.619533713175892, 4.625194727189923, 4.625212826333231, 4.625409846492229, 4.626057892565871, 4.629262218026297, 4.630840297508042, 4.630844448738777, 4.631038564187254, 4.631087153622762, 4.6374735454086355, 4.63952199185163, 4.64091286639114, 4.641664134806094, 4.6456175208387895, 4.646307848867197, 4.646528950185959, 4.6465548360425, 4.649111796679238, 4.649241270868451, 4.651265485424035, 4.651657770695714, 4.651863550168403, 4.652675569282425, 4.6550621664710805, 4.65532856227482, 4.656169660236089, 4.659640560798729, 4.660173881503032, 4.661066130236426, 4.661811699858254, 4.662960996738347, 4.664055739501259, 4.665511421497558, 4.666544752147843, 4.666955516220414, 4.667014776368544, 4.668661365678671, 4.669978873512911, 4.670872875374406, 4.672238805942184, 4.673479630690476, 4.673963352378888, 4.674242527740214, 4.675312546305801, 4.676915732166875, 4.67728288063295, 4.678772684556423, 4.679021945419048, 4.679781937648017, 4.680629573355627, 4.682388300868237, 4.683381246324838, 4.684929214774466, 4.685272176824359, 4.689514498078563, 4.689569503857129, 4.690743452368364, 4.691638905761759, 4.6922779897961835, 4.692459154932708, 4.694740352284767, 4.6960164435703575, 4.69656847388935, 4.698515086822202, 4.699191195784486, 4.699725911868004, 4.699898110996683, 4.699941291830982, 4.700301864575561, 4.701057479761792, 4.7031238943922435, 4.703898689440749, 4.706234994734265, 4.706372688743095, 4.706881823440951, 4.707624028977866, 4.708021778890022, 4.708810761132818, 4.709445082298217, 4.71112559867504, 4.71160398120855, 4.712370683855297, 4.712678211525123, 4.714446574832567, 4.714972697648573, 4.715300178116408, 4.717621630922431, 4.719452179904971, 4.719625367421723, 4.721427169167248, 4.72496577927469, 4.729401152368889, 4.730936231118181, 4.7337157247029715, 4.73577488687105, 4.738695106499621, 4.741139942630508, 4.7412367727899, 4.741564042988984, 4.741576485278413, 4.744721597078987, 4.74709588197227, 4.750250955941406, 4.752087286019179, 4.752221652770031, 4.756284773073992, 4.757384688717775, 4.758590812917863, 4.758793810452132, 4.761502096942279, 4.76526101798172, 4.765811069426097, 4.766027029489395, 4.769686561190656, 4.770683816225131, 4.773280276887443, 4.775615332227951, 4.7761648671634624, 4.777603739559419, 4.778063700422379, 4.77925912889963, 4.77928779769212, 4.780256936609675, 4.784273056708688, 4.785528637420966, 4.787762870920477, 4.789124804096476, 4.795814820005602, 4.796546406630827, 4.7989785332132024, 4.800367496688542, 4.802263420245784, 4.805703509253184, 4.807155948228234, 4.819077563775437, 4.81997175634482, 4.822615424493118, 4.823906609762702, 4.827462786790056, 4.8275479810134305, 4.832072175591058, 4.832501908087114, 4.833447919745678, 4.833648764545492, 4.83592330070651, 4.83860796695611, 4.842271718674877, 4.843596550273248, 4.844498088088422, 4.844528072483928, 4.846202769529712, 4.846252245583705, 4.8479499495845975, 4.849652142234423, 4.850073386303031, 4.850692234357869, 4.852989491237708, 4.854312295886261, 4.856073121843588, 4.856304324198857, 4.857943649566794, 4.86020120296217, 4.861091367364791, 4.86117377633179, 4.862600096836099, 4.863811512107906, 4.866838896238858, 4.86707008388064, 4.867677551518982, 4.869487267314508, 4.875490731206538, 4.875864895610307, 4.878671896505946, 4.878766496537873, 4.8791896033652495, 4.87951196626449, 4.886650824295396, 4.887055987254381, 4.887524352887905, 4.887592806639795, 4.889143885190404, 4.891453585437396, 4.893151990828804, 4.8946172674544375, 4.895270021863848, 4.897161381663576, 4.897497879469478, 4.89888448857557, 4.8993361863883536, 4.900849843552204, 4.901835686967831, 4.902619996523933, 4.904129718024496, 4.904443598029416, 4.905470500765136, 4.907059587665628, 4.907351236919285, 4.908129638236446, 4.909422781702181, 4.911652746369387, 4.913158439555077, 4.914353197791602, 4.914473658404202, 4.9156303660786245, 4.917460671768638, 4.91754297031952, 4.920892569487761, 4.9237699172292215, 4.9258611019158005, 4.926145125763304, 4.9267064682507185, 4.926875353783809, 4.929413161145949, 4.933484173888949, 4.9335392960361935, 4.93453047428577, 4.935463986914016, 4.936868601478635, 4.937465027798391, 4.939324679497145, 4.941230138599895, 4.941557601201018, 4.944103987528964, 4.946929001945117, 4.948274737606101, 4.951478333946442, 4.952701289629386, 4.953497910344348, 4.954912367045148, 4.956422690703718, 4.956494724515543, 4.9583577309872835, 4.958661529022119, 4.959734582742605, 4.960530229808739, 4.962646302144002, 4.9634064202372254, 4.963936764218766, 4.9648191790805045, 4.965861564664939, 4.966443030909624, 4.966476326041687, 4.969788125217655, 4.970609496873858, 4.972157202345567, 4.973322086716445, 4.97429437147385, 4.974359458798797, 4.974541590332412, 4.97523571821585, 4.976170460907642, 4.977995569943266, 4.980685325763745, 4.981099553349061, 4.981781112988076, 4.983859112409895, 4.984762018855688, 4.98717054822681, 4.987274298610345, 4.987442672148254, 4.9875723754016725, 4.988127973930606, 4.98901844428639, 4.989594867601368, 4.990108495607502, 4.991201397948243, 4.991279311330814, 4.991522523919207, 4.992155247323816, 4.992741206127911, 4.9936710342388, 4.994437361232512, 4.995197262276846, 4.995980443169831, 4.996325216848647, 4.996881899701723, 4.998239375328324, 4.999178691379868, 4.999987424795476, 5.001177939875226, 5.001323797056157, 5.0016963065970215, 5.002275992536881, 5.002293896494929, 5.0029689400597395, 5.003037632948255, 5.003324725063397, 5.004102512481727, 5.004680437540564, 5.005190783966646, 5.0052963801717745, 5.006123753003637, 5.006240481308485, 5.007185089610594, 5.0076066588215715, 5.011003738207062, 5.011688168679307, 5.012138795353636, 5.01233323233271, 5.015704887413207, 5.015991609186405, 5.016162735124288, 5.016229559534659, 5.018212304760732, 5.021248629329741, 5.0219229361446756, 5.022874964921641, 5.023047816642746, 5.025258249594195, 5.0253110977813575, 5.025630877323424, 5.026162653239346, 5.0298908400984335, 5.033982662867086, 5.034785583597195, 5.0374004950509566, 5.039544406468113, 5.0395831477544695, 5.041719201016913, 5.042928891108856, 5.045039254650517, 5.046911880737244, 5.048897996891043, 5.049437784159642, 5.05472845058783, 5.0552191603638255, 5.06042077775946, 5.061475615225629, 5.062676558458443, 5.063051889926747, 5.064685660243562, 5.065855652153205, 5.066153112299073, 5.0668537774061155, 5.067608327632723, 5.069230039422712, 5.071448135486208, 5.072309490452389, 5.074675061531762, 5.075186725276438, 5.080677749494916, 5.082006788923757, 5.082076265205204, 5.084201183781366, 5.08837829825625, 5.090334397989664, 5.09148647271056, 5.092967567233544, 5.096847278548218, 5.099434527559387, 5.100289706918024, 5.1011508127653835, 5.101745423295095, 5.102592787589858, 5.103129750420002, 5.104010519244315, 5.104407218793323, 5.105211132088024, 5.1056349348464245, 5.105737844622653, 5.105934877631467, 5.1073789950528266, 5.1079546148215265, 5.108732496865665, 5.109326850294532, 5.1105276543380205, 5.112062316515309, 5.112064788178473, 5.113935758066208, 5.114729917172641, 5.11474504882914, 5.116781842900723, 5.118494508730874, 5.118626554404522, 5.121393074440244, 5.123253497252255, 5.124220258773368, 5.124782088607042, 5.1270144786982845, 5.129056441986499, 5.130823866636488, 5.130918868195397, 5.132550944250087, 5.135020566872525, 5.135464963187603, 5.136040775495451, 5.136537223361473, 5.1400357765065765, 5.141785008720735, 5.142403554792175, 5.143498183108978, 5.143874394555435, 5.145185719410564, 5.1471139698982675, 5.148694268773016, 5.149179352965512, 5.151446661361359, 5.154495507801788, 5.155344844372196, 5.155678058090099, 5.156039501080545, 5.1561363941425995, 5.15906775022095, 5.159573900631285, 5.159925825542634, 5.161347848860479, 5.16200702323912, 5.166831017705153, 5.1669408496498015, 5.16746753449166, 5.168724052771631, 5.169119887619754, 5.169825189378692, 5.172680713539747, 5.174226623033658, 5.177213703407826, 5.177401733438192, 5.1775189052625, 5.180936383339542, 5.181765267995163, 5.1827308227200115, 5.182895748078906, 5.185085264635748, 5.185702349209302, 5.186041399788328, 5.186641405544282, 5.188267938810844, 5.19227481073654, 5.193044752495328, 5.194723878858681, 5.19768342349439, 5.19780306600824, 5.199919266604569, 5.202250046929165, 5.204659626633572, 5.206299317903934, 5.207334322492446, 5.207475287343688, 5.209380540812746, 5.210068793923696, 5.211148612902682, 5.2115456348044455, 5.212327425986551, 5.216143744088781, 5.216760139286493, 5.217147819275212, 5.219682030201167, 5.223375434736177, 5.224499453494524, 5.224580025874734, 5.2270247358098985, 5.228055887187081, 5.229079799142357, 5.229802138142085, 5.231621719091535, 5.233734429173133, 5.235734121907696, 5.236855099648932, 5.2375385046180805, 5.237746754067715, 5.238159895287437, 5.2382205005067135, 5.239422761757398, 5.2409157670399305, 5.241900017481927, 5.24273994284064, 5.2435881246915255, 5.243712248840447, 5.244408622310077, 5.245581813927586, 5.246343754027026, 5.2489514471138925, 5.249117057803284, 5.251149191046607, 5.2515668763500365, 5.252236348206372, 5.254001763730824, 5.2547927112670845, 5.256383948678759, 5.257098382721737, 5.262904774039476, 5.263055659485738, 5.263518474282492, 5.264619345280865, 5.26471001541714, 5.265197818097494, 5.266784262439045, 5.267858087169143, 5.268791455608639, 5.26910023914574, 5.271096749781049, 5.271820881442879, 5.275404634614588, 5.277726278970595, 5.277763948991281, 5.280050603195962, 5.281119824790544, 5.281603453215374, 5.282620436109445, 5.285187919428657, 5.285843682055243, 5.286468960340982, 5.28772042958253, 5.288236514450103, 5.289529097340625, 5.290277746994501, 5.293639123384074, 5.294387508290245, 5.295849998864568, 5.296075754152974, 5.297895104630893, 5.301476313391798, 5.302284660597001, 5.303858686540441, 5.305362886491468, 5.309930602054892, 5.311508453289971, 5.313662217694311, 5.314473357546746, 5.317190723190694, 5.317799404845025, 5.317850872861859, 5.318426312173111, 5.320604268600703, 5.321232192511642, 5.322290768679246, 5.32518925264541, 5.325255239219733, 5.3260544658174345, 5.326479660873372, 5.327620110601442, 5.329322438252693, 5.33308959774509, 5.333723965034156, 5.3349712991389815, 5.335990680826293, 5.336976627938691, 5.338541781384, 5.341834389288971, 5.343147562668015, 5.344777282460587, 5.344920928106605, 5.3454961158652905, 5.346490869902083, 5.347467736846641, 5.3478183532610775, 5.349707021526063, 5.352596499076878, 5.353164465656621, 5.353428655699378, 5.362209102657752, 5.362700898479811, 5.363018322355114, 5.3666574362166655, 5.36747308328411, 5.368739373417913, 5.372185166614253, 5.372841393723639, 5.374624721924523, 5.374844219048819, 5.385084571509339, 5.385488580281033, 5.38714814436139, 5.388336979876313, 5.392498046048801, 5.393652169025813, 5.397131972015228, 5.398543736280914, 5.3991754473417295, 5.403937813969288, 5.405604629905574, 5.410053937527015, 5.412008697152453, 5.412305539235447, 5.420303063256052, 5.422207791201407, 5.424612122566796, 5.424950225760479, 5.425339785880243, 5.425622220464608, 5.425862366834142, 5.426910966734815, 5.430588049224115, 5.430669972472907, 5.435225584452621, 5.444550943838899, 5.450454193367148, 5.457830917774736, 5.458079344900028, 5.458692709874591, 5.4625771345078995, 5.471057862815573, 5.4726095143022935, 5.4853590746671195, 5.486590930865157, 5.493504154705014, 5.4944593299067925, 5.499070012460614, 5.502324339973898, 5.50529917645691, 5.5065414977731475, 5.507061143623119, 5.511705258428274, 5.51432642975798, 5.5239547106524105, 5.526389951946759, 5.527834435066069, 5.5319421687390165, 5.534119090121827, 5.536943037589447, 5.536999588840112, 5.546074538908023, 5.549752974664899, 5.549795342912664, 5.551656626010881, 5.554167190736102, 5.554204268113617, 5.560906795209979, 5.562921565750473, 5.5641799233364475, 5.568951998132554, 5.5698176417011265, 5.571343298811031, 5.573883991158448, 5.576084214581226, 5.577014087107932, 5.5811239727657505, 5.587024313834816, 5.587797362825105, 5.598311881876225, 5.5988229224629436, 5.599279692020184, 5.599429521718819, 5.602097335116706, 5.602632810800421, 5.60380869955887, 5.607851118353644, 5.612107198184641, 5.612825573834383, 5.614424436326102, 5.618685856082792, 5.62291751080435, 5.623893685842391, 5.623928560254667, 5.6260542552216855, 5.627720905714771, 5.629783635360609, 5.63197549823739, 5.634659355800072, 5.635142946195721, 5.637419656911444, 5.640503378172233, 5.642044325801518, 5.643729544024315, 5.643796356990147, 5.6455605090893375, 5.648850635387673, 5.650670006553448, 5.6508467374719125, 5.651126317291938, 5.654071982920291, 5.6548579794883524, 5.656333295948598, 5.656336891275373, 5.656481298493523, 5.657118953996033, 5.65717346762403, 5.659170840639033, 5.659374499253802, 5.659713907549366, 5.660160356363531, 5.660445723478992, 5.664898507484203, 5.6649335719432345, 5.665368619269003, 5.665672880170352, 5.6660111138566185, 5.668239633528724, 5.669513522179613, 5.672298295274409, 5.672625442285731, 5.672750042919062, 5.675195649919835, 5.675548943467006, 5.676858403521821, 5.67802796708802, 5.6802317167688825, 5.681302289970172, 5.681819985910762, 5.682555985344679, 5.683814830000862, 5.684452054078199, 5.684696829585563, 5.685596629425555, 5.685872191268614, 5.687019901696334, 5.6874798037153935, 5.689712852904828, 5.691168420434954, 5.693997586241398, 5.694335998333096, 5.695196946984888, 5.6963014224880775, 5.696334493614134, 5.696659963157877, 5.697434843488374, 5.6992768381027314, 5.699440907166234, 5.6995966065042944, 5.700856397075687, 5.70094902721537, 5.701286332113095, 5.701595527820681, 5.704337451100568, 5.706966791647691, 5.707989654171898, 5.710203537693729, 5.71058146738239, 5.710740693684124, 5.712268991070323, 5.714062076771402, 5.714405556732432, 5.715367429086129, 5.719658712909627, 5.722672593310145, 5.728373856546137, 5.735289208267557, 5.737365301577971, 5.7399934947816815, 5.74465549687698, 5.745530941374196, 5.757429520650581, 5.7630220327084425, 5.763654408754398, 5.774497819554318, 5.778103729538956, 5.778214986259815, 5.779338309486009, 5.779845760797222, 5.78175872499476, 5.78477430226994, 5.786051958673761, 5.786685860145901, 5.788508386129015, 5.791037587242572, 5.791161689720351, 5.792635104832298, 5.793578336627655, 5.798612711559093, 5.807295595596478, 5.809433573936799, 5.809457150178047, 5.8097657862281675, 5.817628849960004, 5.8188275759864245, 5.820339694273948, 5.822382683724372, 5.826195395295054, 5.836731084493667, 5.836979601618426, 5.838468237014926, 5.8414238825745795, 5.842981208955705, 5.844472793436988, 5.84931249000386, 5.855847686083808, 5.860136182314685, 5.860616993698827, 5.860857157863734, 5.8648817929752814, 5.873275240268883, 5.874842574970265, 5.877340148124492, 5.877976133260865, 5.883411271067967, 5.8850624325703285, 5.8870848646312615, 5.892089416441699, 5.892107046557598, 5.893913615472976, 5.8979911751567515, 5.902717375821401, 5.904146322780116, 5.904591609213802, 5.906647959604366, 5.906951050305772, 5.908396102086841, 5.910421118178248, 5.912723813022076, 5.9138333858947405, 5.917288194171809, 5.918464439021377, 5.921542998991738, 5.922219228701834, 5.924016640379435, 5.924810301348848, 5.927959734150094, 5.928830093716243, 5.9318977911075335, 5.932329756649149, 5.933904875035206, 5.93569099182582, 5.936344111563323, 5.9383314992159, 5.9390811959125935, 5.940648024316181, 5.943756576320047, 5.946913705937389, 5.947374852852295, 5.947912492681994, 5.949293634981267, 5.955949834737465, 5.958765303171806, 5.961203726326295, 5.961840912685539, 5.967299944205874, 5.973980329335731, 5.974888429414484, 5.984411027832845, 5.994925881458653, 5.997100959293013, 6.0086020273745815, 6.018950324649493, 6.025334440422585, 6.025714803329439, 6.025812318706144, 6.027487712130841, 6.0303619655235305, 6.034652905362551, 6.0409580380326835, 6.04218463199555, 6.0505180262955625, 6.055749946432416, 6.057398519376693, 6.0635236511963955, 6.06785843893002, 6.078407129245941, 6.079676766861818, 6.082396566988477, 6.082901224651005, 6.088250208652205, 6.0937157817440335, 6.094262202437905, 6.097056850127179, 6.09962456283089, 6.099756510828536, 6.10048359675621, 6.10076681572127, 6.102393404654622, 6.104419056347926, 6.105393744176492, 6.107259870209576, 6.110809818667641, 6.1114605389572985, 6.112227112550989, 6.117206293547219, 6.119676498655261, 6.121524621160843, 6.123452450431069, 6.123564043063984, 6.12364477373898, 6.124170924381969, 6.124383148278239, 6.12574156434177, 6.126862263161324, 6.1274921955567665, 6.129043904491434, 6.130274183914073, 6.131006095106992, 6.132705140413844, 6.13540426805308, 6.136333606479384, 6.13859328700604, 6.139687744858536, 6.142369697546504, 6.143095133685546, 6.1436773484645375, 6.144662425171711, 6.1450960679361994, 6.145970971813732, 6.154572033601912, 6.155803329972761, 6.15897169760628, 6.163814583350031, 6.164822158481835, 6.16501768006589, 6.16723452777952, 6.16732033900014, 6.168390230234874, 6.169094712629282, 6.169134496481339, 6.169304034218196, 6.17156471010366, 6.175922326503488, 6.1777483723220605, 6.1801284145353925, 6.183508990324346, 6.187359692679312, 6.187440145111392, 6.18881608671354, 6.19512145002629, 6.198527672262248, 6.200314966351071, 6.202489998099869, 6.207774116666381, 6.208207813617573, 6.208623624712379, 6.210362280178688, 6.213939476128686, 6.214000743222642, 6.218627523663481, 6.220955309864644, 6.221112990441118, 6.2234059765506, 6.224630205673232, 6.224688729681801, 6.229301677454313, 6.229748515391709, 6.230460435662479, 6.230805047371642, 6.233280375365113, 6.234528600400367, 6.235490875173961, 6.23713708108263, 6.239675426519826, 6.240706166089702, 6.241793886232185, 6.242027336251867, 6.242406397473087, 6.242408297844339, 6.244455867611178, 6.249600066821779, 6.253809358274194, 6.254188202749254, 6.25647545794261, 6.256521630627967, 6.259936076083823, 6.263725260088989, 6.2701274729973715, 6.27126443037173, 6.272118391224754, 6.275171559152336, 6.276477311598352, 6.277669187343427, 6.279781562811803, 6.284219197991385, 6.28457584875453, 6.2850204433209615, 6.28763551855084, 6.287771963599083, 6.2892294119951035, 6.290022903985153, 6.291256994962273, 6.291265932680401, 6.293025523938402, 6.293411580360876, 6.295110186303217, 6.295848211722411, 6.298122084232888, 6.298184497203728, 6.298995103135175, 6.299672650617033, 6.303933848131547, 6.308918065054383, 6.3100561960627495, 6.310787889542262, 6.312866083158071, 6.313900602834582, 6.316624416570145, 6.317270183744232, 6.317532166361882, 6.318587397909123, 6.320957260907752, 6.325252259689557, 6.325344627207137, 6.331414164178062, 6.3365964371794545, 6.341974179848865, 6.346206872406184, 6.3483790981907, 6.351034878870222, 6.359230265951799, 6.363243016075216, 6.36403566074305, 6.379280608681385, 6.387897039143854, 6.409188308779882, 6.410406267869117, 6.41836709538683, 6.419111878826974, 6.4203587288075825, 6.423265423816873, 6.448749032994797, 6.461803669579151, 6.470136394565356, 6.470460045515116, 6.471374371529007, 6.4774506404964, 6.487257782405836, 6.487261125352545, 6.489765144843637, 6.4913593673835415, 6.497330133482148, 6.500986936711426, 6.502404542739095, 6.502963814210244, 6.506792624185148, 6.511435105311815, 6.512601161090462, 6.5145202559420055, 6.51532025651561, 6.515638408188655, 6.516494568518784, 6.51685693725199, 6.518685796258181, 6.52062158639011, 6.522716873365951, 6.523861617359889, 6.525774232390841, 6.527647646909821, 6.527753751927832, 6.528619154146755, 6.529094717203637, 6.52952715297749, 6.532795741427757, 6.5348518720284945, 6.53650743890915, 6.5367174765989, 6.537462068350398, 6.540579504427267, 6.5432662913663195, 6.548061129238519, 6.551456894902317, 6.551876830510456, 6.553350860751852, 6.554641737331235, 6.558891837911606, 6.559481789815294, 6.5624892467951845, 6.5640108654433265, 6.566379597064502, 6.568018251552567, 6.569663549603864, 6.571955675717254, 6.572172404740243, 6.578235641409991, 6.588232521846353, 6.588997401754428, 6.589544182239331, 6.592381317459995, 6.594380754942728, 6.596828332804047, 6.5971134878596285, 6.597515325002224, 6.60083000083204, 6.602056609664145, 6.6062622907897595, 6.616747193355237, 6.619705336164569, 6.6200103746678876, 6.620826300530087, 6.622120622109009, 6.6280243235511245, 6.628442541721766, 6.629590910887689, 6.634280884869526, 6.637982880515225, 6.641644757380023, 6.646448891287449, 6.646919820437853, 6.6477302485501815, 6.648583767335945, 6.6541234182913165, 6.654971504086691, 6.659558919568671, 6.662470027715103, 6.664137061278628, 6.668409495847788, 6.66985431208258, 6.6762026154279415, 6.6787158065542025, 6.682880349172191, 6.683942503446256, 6.687734278600346, 6.690176661966742, 6.6960897528268495, 6.70047599595037, 6.703257416688298, 6.703353267350027, 6.70666538972403, 6.707433412444514, 6.711380541948454, 6.712366377763305, 6.716876065011964, 6.716961240723409, 6.719121012980606, 6.723946141233421, 6.729485669081442, 6.7387428946494845, 6.743563501535632, 6.743914510664664, 6.7471865548374685, 6.748040907958406, 6.757615218592604, 6.757992981542473, 6.7629296441103275, 6.76545594846064, 6.7673222981360555, 6.768439523046633, 6.77840673625709, 6.778861823691231, 6.783691648854132, 6.786061601485611, 6.788259240446756, 6.788457807180464, 6.789706905369301, 6.791264609636366, 6.791293220562372, 6.791498245127926, 6.795490786554478, 6.80151679718014, 6.801954158136072, 6.803711442636376, 6.804226219758276, 6.805910130240563, 6.805946954683474, 6.807072259944647, 6.807768520862682, 6.810850181579932, 6.8109264829076634, 6.813721613327732, 6.8143675888753465, 6.814843664360397, 6.817296249520005, 6.817912078091704, 6.821002033269933, 6.821303819316861, 6.821307492531509, 6.821557595935115, 6.8217673229848215, 6.823232783139905, 6.823343935420042, 6.823355117867739, 6.823787268149195, 6.824475034683896, 6.824765446003742, 6.825712900905653, 6.82597511352945, 6.825982092011369, 6.826670696992721, 6.827059296932232, 6.827203438196444, 6.827906138577028, 6.828041522467905, 6.828639474532288, 6.828723774707403, 6.82926674205475, 6.830568293488732, 6.832368024617746, 6.833295500329632, 6.834199859610854, 6.834614479978193, 6.8350155976008145, 6.836329161529912, 6.836872803454054, 6.8371590360959456, 6.837188250948367, 6.8405465608080664, 6.841554140760958, 6.842664441599706, 6.842819367521153, 6.843334586311328, 6.843478301977282, 6.844474280890402, 6.848368701590461, 6.848621868204454, 6.850947388507041, 6.8510748203751195, 6.8541754211135, 6.854263040307927, 6.854308479048656, 6.854868628901535, 6.863258924655391, 6.86341357560402, 6.973755241519418, 6.974622131505212, 6.977606511567232, 6.978106809535314, 6.97944330063479, 6.982836590458931, 6.98284132874407, 6.98338384563607, 6.986999299597126, 6.987610651951929, 6.989700528486262, 6.994127101584594, 6.994582286787444, 6.999518827707944, 7.001479176156921, 7.002941225303007, 7.004922017223013, 7.006075841855338, 7.007508553268499, 7.007824593135121, 7.008910797840804, 7.009595717288837, 7.010535135106368, 7.011830803269551, 7.013090460628928, 7.014284661388864, 7.015800817274222, 7.0166364391655724, 7.016865579964441, 7.01703601679147, 7.017464396733248, 7.018653652449215, 7.021503958895553, 7.021642066843276, 7.0227543330637285, 7.022808237543333, 7.02398453764801, 7.024809212624525, 7.028763580168147, 7.031063563314529, 7.031719006190041, 7.035488316547315, 7.035864706385137, 7.036525157123002, 7.039147476112481, 7.0395973709343584, 7.043662712418316, 7.045198288143476, 7.04555747950387, 7.04561677375605, 7.046283753517516, 7.049557893812585, 7.049809759618036, 7.050185910500543, 7.0505409802546115, 7.052203013198177, 7.052838917253648, 7.053440717238705, 7.056065307396086, 7.0572227494825395, 7.061568695265852, 7.061752863543917, 7.063598168920329, 7.065799531547697, 7.066527780283411, 7.068941475526472, 7.0715178523330025, 7.0731120932537745, 7.073112860918149, 7.074467590560866, 7.0750270843194745, 7.077261641449475, 7.080447343574015, 7.080966708658517, 7.0828188988350105, 7.083718706521016, 7.0874141907831625, 7.088528970169619, 7.094072964372855, 7.095461292436389, 7.097624671542186, 7.099527231371926, 7.0999682650800455, 7.101847429662892, 7.103992305266083, 7.104423099284149, 7.1051771877281, 7.107362317014889, 7.10738841512825, 7.109471236866029, 7.109529857029555, 7.109913518366276, 7.110389003694241, 7.111712925681383, 7.112779291322536, 7.114824539413923, 7.115302935520592, 7.119403664221931, 7.119620480471402, 7.1198746540996405, 7.121089572781376, 7.1237947756501745, 7.124533769945827, 7.1269668298640125, 7.13065945378627, 7.131261725025943, 7.1319746485035225, 7.1329233899308315, 7.13306801176442, 7.133459308730938, 7.135173954265635, 7.13583468500552, 7.137114607156349, 7.139780310815386, 7.1403822152103045, 7.14069867537408, 7.14147802307518, 7.143247881242286, 7.145048935150358, 7.145470743346256, 7.146567327198698, 7.149599210238886, 7.149718359257731, 7.150638908037417, 7.151326109004633, 7.152414666972742, 7.15263070947676, 7.1557289316160375, 7.155839997634155, 7.1558483992040225, 7.156356802583995, 7.1596280891932755, 7.161625539633659, 7.166362708909335, 7.168382181548361, 7.168636123333745, 7.169954415031719, 7.170899815217786, 7.171719046130127, 7.172569101728992, 7.172654505912404, 7.174282427055706, 7.175018052762194, 7.175801169367692, 7.175952591145389, 7.176824495677411, 7.176943043072659, 7.179353129131298, 7.182355990129389, 7.182722710063869, 7.185622297806246, 7.1869972568193585, 7.18850437700487, 7.188508912375263, 7.188978150942944, 7.191173814398231, 7.191814497970803, 7.193325991184154, 7.194241980572465, 7.194272831631764, 7.195468037557919, 7.196121751160051, 7.1962721644628775, 7.196845258089648, 7.197362277658635, 7.197673458246163, 7.1985647527110705, 7.198846388420028, 7.201078878963777, 7.201129756700254, 7.202346978600775, 7.202498549201765, 7.202771777820706, 7.203170848203367, 7.20342659699678, 7.204727841947538, 7.205616187296099, 7.206269628377149, 7.208390457827642, 7.208548755465218, 7.2091381322114305, 7.210173122609158, 7.210732338638916, 7.2112204873716665, 7.212041120292436, 7.212341284473238, 7.212388526117197, 7.2135369538938745, 7.213595403293476, 7.214338278162137, 7.215047968626913, 7.215339099670997, 7.215765823396628, 7.216010751164479, 7.216239093061962, 7.216919909988234, 7.217725239097824, 7.217775908629919, 7.218007852581303, 7.218833477670115, 7.219676360819415, 7.219992233307803, 7.220350481770906, 7.2204280689186735, 7.220660122859427, 7.2210287381104035, 7.221082912302713, 7.222519790391045, 7.223697165491585, 7.224337279632277, 7.224896531399232, 7.225972567301702, 7.226164605549288, 7.226216866527122, 7.227086996124196, 7.227836006518994, 7.22805584323951, 7.228245386611416, 7.229619236727467, 7.230890617036139, 7.231547219001332, 7.231942788502418, 7.232126939694538, 7.232257336799732, 7.232829212921879, 7.233724735619513, 7.234015114212126, 7.234981903049113, 7.235219030813979, 7.235305272768931, 7.236240720442084, 7.236914028062416, 7.237385488814187, 7.2374156960189575, 7.23821186970227, 7.2388621359683025, 7.24061645164033, 7.241189849952287, 7.2412606133101525, 7.24307430988913, 7.243492167726971, 7.243535428388586, 7.243570064883709, 7.245142796057157, 7.245187818182087, 7.245310345832821, 7.245651338068839, 7.245702040634004, 7.246576982906622, 7.246618416966331, 7.247729254801586, 7.247939807148722, 7.248167961305794, 7.2483434831333975, 7.2486041419348135, 7.248712100931971, 7.249284667736409, 7.249297107732384, 7.249698074444285, 7.24971957187325, 7.250513872385325, 7.250570427463182, 7.251781303448435, 7.251873005349207, 7.252610891264978, 7.252869443365253, 7.2530270808001305, 7.253067646721928, 7.253195058051013, 7.2540051007373005, 7.254688659724901, 7.254732173636546, 7.254840659295661, 7.255456899050874, 7.256053027982143, 7.256795082748212, 7.256914952018564, 7.256973979707185, 7.2571337207849345, 7.257371715838803, 7.257624771023104, 7.258475888982398, 7.258575163415109, 7.258898443423162, 7.259531033837675, 7.2596319526616515, 7.260017722360759, 7.260159553234258, 7.260646056022149, 7.260813363496361, 7.261177590321298, 7.261823084859092, 7.262249163901273, 7.262890384771509, 7.2639457266987755, 7.264150822406515, 7.264167040994455, 7.264309483369762, 7.264603367003457, 7.26488809088661, 7.2654315863040635, 7.266431319381722, 7.267016233651856, 7.268400603321376, 7.269114058378525, 7.269192141775983, 7.269546236913312, 7.270094553839607, 7.271475975465567, 7.272579799422681, 7.272837983726517, 7.27309049853457, 7.273524202901314, 7.2745226921321775, 7.274732805766709, 7.274990640784578, 7.276416828355283, 7.277554228596815, 7.2775749335826, 7.2781779582414865, 7.278289980514569, 7.278391169006324, 7.2793750631179694, 7.279657757372606, 7.280417573943692, 7.280429004906587, 7.281304242073104, 7.28213942883653, 7.284357155626092, 7.2849303861938886, 7.28565919615389, 7.286905844931328, 7.286943153122197, 7.287183894095216, 7.2883110364136865, 7.289097688700976, 7.2891487578917165, 7.291106699698858, 7.291629786451665, 7.293543155317147, 7.294350445139994, 7.296278819642015, 7.297740396431538, 7.298431808489137, 7.299345803155578, 7.299629326956716, 7.301247132498101, 7.301448822879576, 7.301777660944749, 7.301958604329917, 7.302417669234041, 7.30353572794221, 7.3046448864096964, 7.3048833726319495, 7.305034345681908, 7.3068095122921966, 7.308388554428152, 7.30974871886303, 7.310086045486829, 7.311280747220571, 7.311592124624339, 7.311846119950695, 7.31247332509989, 7.312991420732685, 7.314734513339475, 7.314877029207401, 7.315301251852092, 7.3153377504300545, 7.315815093150742, 7.316806663437313, 7.31735050863132, 7.317357441362997, 7.324346747272812, 7.325802129474584, 7.32646794858062, 7.3265363601002065, 7.327485339761038, 7.3278735304081275, 7.328777509474959, 7.329640431647599, 7.331845087531975, 7.332054476171839, 7.332748078184747, 7.335063650460037, 7.336913048658372, 7.339224993226479, 7.339323683956888, 7.340180363824072, 7.341577711856391, 7.343122784427694, 7.344219099110792, 7.345957045770014, 7.346313071287942, 7.347632519377649, 7.34840368432536, 7.349119230293973, 7.350040658137804, 7.351255576780998, 7.353308151851076, 7.353568471537421, 7.353960380133496, 7.355684538782823, 7.355777386820393, 7.356069235269382, 7.356781096986423, 7.358934214987363, 7.359179053172689, 7.359524671056557, 7.360445765748891, 7.360768678424966, 7.362957108487361, 7.363208083639881, 7.363884366804021, 7.36869621727476, 7.368877203185868, 7.370890929549452, 7.371356533260543, 7.3717204625727, 7.373126888560538, 7.375585338446212, 7.376756125243995, 7.377883168395386, 7.378382387211758, 7.378636139182703, 7.379050003136969, 7.381033960459743, 7.381282262540662, 7.383041027916282, 7.3840541868791805, 7.385941063594623, 7.386404381174348, 7.388289999681979, 7.388922274247007, 7.392011829525545, 7.393144602382593, 7.394146024475913, 7.394987858311079, 7.395938526580578, 7.396862573038124, 7.397123808281466, 7.39798983086946, 7.400833128505016, 7.401968700027432, 7.402001652366079, 7.404789455383232, 7.407328364398961, 7.4092584588209505, 7.411270468711679]