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

eigenvalues = [1.0869777300470673e-14, 0.008124701954672308, 0.01130331470673131, 0.018971986386966854, 0.026878773760000266, 0.027101605309653883, 0.037338576358579616, 0.03993078971106244, 0.04132967247667204, 0.04530982972969449, 0.0497397825376753, 0.05017286673809017, 0.05430242677721345, 0.06745772873910451, 0.06826122415829337, 0.07171808716244972, 0.07236378858362859, 0.07525699935448313, 0.07575709819729201, 0.0866187936169851, 0.09076456678741755, 0.0952354671395479, 0.0953897441673954, 0.10740385733166048, 0.10841131141804379, 0.11442701543735435, 0.11635853278845522, 0.11971396753471228, 0.12196401881940222, 0.12599302247252403, 0.12679691837937931, 0.13298789877467804, 0.14468012645107792, 0.1457227651641197, 0.15191307633275974, 0.15500217588523335, 0.15513543071055386, 0.1585598031617566, 0.1596386932766877, 0.15991827088094424, 0.17119822502706564, 0.1722105302253975, 0.17386133774535673, 0.17995337450531446, 0.18165211869294448, 0.18963175350835837, 0.19250722819049254, 0.19449280632316926, 0.19674080524075496, 0.19949906622737945, 0.20251496748536973, 0.219842549869086, 0.22620587554168034, 0.22699001753996995, 0.22732317087378318, 0.23885395418357516, 0.24108197067020093, 0.24859734698203056, 0.2500270627633724, 0.25308357117316704, 0.2546929800318905, 0.2565410268908553, 0.2577777648127596, 0.2603803763837086, 0.2627394952837446, 0.264902522144151, 0.2715528174356858, 0.27586235195017594, 0.279355531611698, 0.2795366789433135, 0.28441231786144294, 0.2876963420550558, 0.290589683853668, 0.2954063021002723, 0.30062802075703765, 0.301832286534683, 0.30772271935904233, 0.3080068456367023, 0.3108414077139398, 0.31385934956346584, 0.31708740469017366, 0.3222265850922134, 0.3243799959335826, 0.329892979748162, 0.33027461435320415, 0.3368924854070045, 0.3389905486203743, 0.3390184583141623, 0.34152343225336473, 0.3429959445542229, 0.34546554706487687, 0.3505566561250682, 0.35615042492730026, 0.35892293394802144, 0.35966918702140954, 0.36114778468326336, 0.3657872676244941, 0.3677755359309257, 0.36943469532198264, 0.3713449050566968, 0.373914872769071, 0.3767367175110824, 0.38222687721809073, 0.38409439067683093, 0.3844943281343656, 0.3853896770928115, 0.3961490895338045, 0.4015617700765071, 0.4052718609143878, 0.40585865132590027, 0.4060964556327851, 0.419275321139323, 0.4210552613257003, 0.42225447971624563, 0.4230699289156033, 0.4240304058124187, 0.42459812648942546, 0.4269337151016344, 0.4276814465606139, 0.4283858581915448, 0.43038688244564344, 0.43143111670001744, 0.43343075029142963, 0.43715570198290904, 0.43746662976699496, 0.4385085408577547, 0.43854392846850965, 0.4408105609210284, 0.44102178096597694, 0.44119344586886733, 0.44649420752127866, 0.4483974400405381, 0.4498347418247024, 0.450425045840508, 0.4580876996332343, 0.46008042277753763, 0.46034379199914466, 0.4757383331803708, 0.4824722295118728, 0.48548144566461154, 0.4927722569436031, 0.49319120510566533, 0.4968094993633505, 0.5048009823817152, 0.5057370059207547, 0.508770772743463, 0.5108005204533388, 0.5116400548311012, 0.5133693264695457, 0.5250018844885362, 0.5309251349524582, 0.5334520082229535, 0.5338935923128588, 0.5382581700386779, 0.5429307328427389, 0.5445121637217568, 0.5470505882127442, 0.5584657292148765, 0.5589700850870982, 0.5591719758733811, 0.5663197451452492, 0.5701816559865676, 0.571425586190157, 0.5780973078072029, 0.583889247263154, 0.587814701785304, 0.5897173434880081, 0.592590483042955, 0.59281567513395, 0.5987983364814388, 0.5999651837368422, 0.6004415136337111, 0.6044324656709753, 0.6046962942950072, 0.6100255445076525, 0.6106030276408985, 0.6146583450754624, 0.6179217418327145, 0.6206312106879754, 0.6283202719732086, 0.631725848150851, 0.6341313509705704, 0.6353933508609231, 0.6380707993757049, 0.6385632036699268, 0.6392488136792629, 0.6401108019941723, 0.6491366097441754, 0.6508031942227646, 0.6509384805305222, 0.6525237144850646, 0.6594828287019079, 0.6596928880773186, 0.6714535097715897, 0.6738473985431822, 0.6750619945389812, 0.6752074824912969, 0.6756514685182318, 0.6800646260144951, 0.6873458904266248, 0.6906943574763889, 0.6912411538463074, 0.698467294908588, 0.7005632376592709, 0.7061732189058909, 0.7063943240562303, 0.7092778645057006, 0.7107357931738754, 0.7152492620550066, 0.7165769068187338, 0.7167513561040739, 0.7194294148540004, 0.7214482660968976, 0.728160134415798, 0.7323668535978038, 0.7356507963596142, 0.7375951263699472, 0.73931133787932, 0.7412326455846532, 0.7420751016831079, 0.7425464099267413, 0.7480328945363389, 0.7488212595495913, 0.7517669354604959, 0.7529674755059392, 0.7536736768928859, 0.7552903026819855, 0.7569268749522322, 0.7585648416060875, 0.7587998424686097, 0.7590373155650166, 0.7637361376627894, 0.767399573845102, 0.7687962875386055, 0.7707292391533623, 0.775531518096929, 0.7765931734009126, 0.7773246390859085, 0.7779676852474701, 0.785131309566211, 0.7876384345080548, 0.7893274150993405, 0.7919717700884314, 0.7958835034561575, 0.7997730155518912, 0.8052636418441069, 0.8083432861978596, 0.8084040728297098, 0.8107370721907315, 0.8167141558687001, 0.8193486528351805, 0.8210582165955571, 0.8234885778016027, 0.8347415627975905, 0.8347544954249534, 0.8374739741633638, 0.8379250459858051, 0.8395367780808971, 0.8415043936433528, 0.8492934749609969, 0.8514989815390656, 0.8651531593913453, 0.8661756167936637, 0.8699652421864945, 0.8721915374823086, 0.8771417716321357, 0.8782867011299262, 0.8820857113254003, 0.885586948545054, 0.8865395628473717, 0.8912601255030761, 0.8960148681584283, 0.8994431215529594, 0.9012258052895259, 0.9024341233077204, 0.9039969046254936, 0.9061364186658387, 0.9062814143716539, 0.9083458239836589, 0.9110104898547304, 0.9121602932647849, 0.9126556826608955, 0.9178105022365346, 0.9240638202122665, 0.9259656881746461, 0.9278629052000622, 0.929340734293032, 0.9343187552986224, 0.9349884734582332, 0.9372679691371638, 0.9421671267188999, 0.9422612594815207, 0.9440068987525899, 0.9479776378254224, 0.9487630656496485, 0.9514874509635627, 0.9549724912467552, 0.9569561619299842, 0.9593513191741873, 0.9598966708199442, 0.961453296266619, 0.9625135005505221, 0.9667723007354406, 0.9704754258367894, 0.9718165588273017, 0.9738217341562605, 0.9763049681704519, 0.979393799721311, 0.980664955566215, 0.9807887134115003, 0.988426313675328, 0.9939212385070307, 0.994451203171636, 0.9966292781955266, 0.9970381340544033, 1.001274854101705, 1.0118309176780724, 1.0161964379126494, 1.0175449360004825, 1.0187323792349163, 1.020285291033935, 1.0205035524809543, 1.0283078051292478, 1.0289347519196834, 1.0303300516354286, 1.0318941813178684, 1.0348403917547098, 1.0402497824698884, 1.041233709681298, 1.0422385643322585, 1.046203418959172, 1.0472025801532645, 1.050229020634325, 1.0509602346707039, 1.0517659930085992, 1.0542417064337433, 1.0572652715839286, 1.0600167347239555, 1.0612374981605857, 1.0664347446994116, 1.0679642109336946, 1.0711770396547602, 1.0773053081973256, 1.0816812173112618, 1.0865916099928783, 1.087608160675705, 1.090922771855856, 1.0939396920085052, 1.1002679887478275, 1.1016102369656802, 1.1027055631094047, 1.1027466038624174, 1.1069190372302766, 1.1094540225106102, 1.1139301744482795, 1.116178769691857, 1.1184438548552833, 1.1197297707626634, 1.1205995928544883, 1.1207854392552807, 1.1293327404223534, 1.1294291636073501, 1.1297092457080746, 1.1324891950631404, 1.1412229152604951, 1.1455406672428108, 1.1463531128217876, 1.1589305577055813, 1.1665092970794806, 1.166567388887562, 1.1676212431913024, 1.1681651922068772, 1.1692158604883522, 1.1725439057969314, 1.1746896059735505, 1.1803983436882726, 1.180858332952291, 1.1870651386693787, 1.1873269152697887, 1.193676123128804, 1.19660713237262, 1.200238666938056, 1.2015804225506368, 1.2117501189419004, 1.2150126945998279, 1.2174238764171195, 1.2189005256529082, 1.2189261225798858, 1.2226280546372128, 1.2247048761144006, 1.2250594779986639, 1.2260611763808882, 1.230772031148245, 1.232979955927542, 1.2393548363882145, 1.2422749617662836, 1.2462293460604632, 1.2480472683588701, 1.2491223233728217, 1.2568096572619407, 1.2584230918819204, 1.2611281223877013, 1.2663343452232523, 1.2668897207981622, 1.2678789911431763, 1.270320809442723, 1.2770203923557877, 1.2786283760853707, 1.284466343550492, 1.2853061193315725, 1.2857995768250305, 1.2887747810352606, 1.2945235594661164, 1.2968652038639839, 1.3008985562348179, 1.302687535690352, 1.3038218462236169, 1.3060530207228978, 1.309190011935328, 1.3106557805735601, 1.313274069142647, 1.3145262292326123, 1.3183935640311695, 1.3187530014180668, 1.3272044267301195, 1.3314252847930719, 1.3320178430176983, 1.332268266661883, 1.3399825180131084, 1.344850646330086, 1.3450075484181068, 1.3454937518122951, 1.3535028998763037, 1.355015030800497, 1.3623165931227712, 1.3639777411121619, 1.364317138141051, 1.364751180933272, 1.373022627883839, 1.3751342602681627, 1.378028594419402, 1.3826417202362584, 1.3876655464526853, 1.388565401981939, 1.3890078822642433, 1.3969246314445363, 1.3986935621432008, 1.4020689330943326, 1.4025947392229905, 1.4062372741752145, 1.4082666943059243, 1.4134404200977642, 1.4137111856634141, 1.419936558756552, 1.4220542690731413, 1.4221987810654413, 1.4250491947880648, 1.4288515614700514, 1.4311272203706638, 1.433675602875553, 1.4338130602343104, 1.437106921685432, 1.4378353642597392, 1.438000877206774, 1.4391216115473422, 1.444587451714702, 1.4507854234995954, 1.4516353185487354, 1.4536787474277293, 1.453947685987685, 1.4546380507943402, 1.4553921817135793, 1.4557630414831235, 1.4567982283117489, 1.4608638196432222, 1.460930280822802, 1.463109730851856, 1.4645013476805768, 1.468567623332694, 1.4750940815019558, 1.4755862196534377, 1.476811190568258, 1.481543688000322, 1.483635122705483, 1.4846120349409409, 1.490326758220281, 1.4929450701698772, 1.4944119371665467, 1.496181860079143, 1.49665304114005, 1.497567988966035, 1.4983881195510067, 1.4998727589044856, 1.49990475579491, 1.5032887770480856, 1.5063862218221136, 1.5070372831620518, 1.507330224988071, 1.5097429916068807, 1.5134717844278267, 1.5141203607071303, 1.5146480870036454, 1.515379323526259, 1.5168651157905877, 1.519658926078252, 1.5198391551993395, 1.5210488734976546, 1.5222487171975871, 1.5241736199371783, 1.5245725463545203, 1.528631535036851, 1.5309819321164773, 1.5310316617907387, 1.5330917768527277, 1.5341623394556128, 1.538749988735832, 1.5408711031201308, 1.5455678769741938, 1.5475647290384844, 1.5486264756871784, 1.5510164150177386, 1.5511616225245228, 1.5546151705974218, 1.5578448355594265, 1.5581074496603144, 1.5605056478689088, 1.5650973609829981, 1.5651762376481346, 1.5660442404051793, 1.56922273817962, 1.570335227680148, 1.5745920505058564, 1.5804887330973725, 1.5872040919381147, 1.587995605339997, 1.5893093047084217, 1.5951751967268695, 1.596787777561192, 1.5978242371724176, 1.601196032372288, 1.6041521188606622, 1.6073544851808574, 1.608132765938288, 1.6130571956765334, 1.6166313610655405, 1.617488802763853, 1.6219229383705402, 1.6245769919210606, 1.6251065035852916, 1.6275351045422755, 1.6316476614457927, 1.6333628288421635, 1.634767850282758, 1.6359245865934826, 1.6383973252838193, 1.6388620010072599, 1.6399731276646692, 1.6431486387603358, 1.6443814246896826, 1.6492617698158227, 1.649860522818772, 1.6542616664188308, 1.6567655136190953, 1.6580073912928734, 1.658838853746457, 1.6613121858127817, 1.6616405643027075, 1.6616730001408588, 1.6619738859012891, 1.6663571152473686, 1.6705245604633785, 1.6723572110573288, 1.6728913394523885, 1.6739131905121272, 1.6756640417363982, 1.676640709698917, 1.6787711989830063, 1.6804603350323368, 1.6830339133784034, 1.6850289905339737, 1.6853798329605632, 1.6911125071849278, 1.6941828871357947, 1.6942274324601387, 1.6953162288967376, 1.6962147133768202, 1.6980363231027809, 1.6989353800915872, 1.699107720249635, 1.6996030622494203, 1.6997433907969852, 1.7069796168801379, 1.7081529578572765, 1.709542469116597, 1.711611497305423, 1.7119851293743684, 1.712065617504567, 1.714573983737631, 1.71812749222838, 1.7186491714275185, 1.7198630993017237, 1.7256153025727992, 1.726384660924359, 1.7273201017049398, 1.7278385812534673, 1.7287306704515013, 1.7295548604524351, 1.7324724565727496, 1.732844549287475, 1.7342863939522466, 1.734375431769887, 1.737961289953898, 1.7388384851269632, 1.7388911415336674, 1.7432039116380904, 1.7477660921184248, 1.7481664369557228, 1.7498596073735717, 1.7527157334208026, 1.7527660851432492, 1.754768551880426, 1.7549893734416149, 1.7633892969625808, 1.764351241215828, 1.766272441707206, 1.7668955805395503, 1.769724756114165, 1.7719323326872227, 1.7735780938236183, 1.77677327587665, 1.779374601705787, 1.7798801785403955, 1.7798949526828274, 1.7842884005498836, 1.7877870698656153, 1.7881526694405512, 1.7956741987902707, 1.7961137272754002, 1.8011054427241766, 1.8017843491581935, 1.8019913292838503, 1.8071133342676675, 1.8072527324814267, 1.8083918241811783, 1.8179231547483072, 1.818576898431103, 1.8213896626289252, 1.8224179308260848, 1.8230506525331616, 1.8254815510985993, 1.8293100053958637, 1.8312941190234424, 1.832751457628062, 1.832975146311204, 1.8332511875697437, 1.8367025040813134, 1.8386584077585106, 1.8389146659391973, 1.8400980159488856, 1.8431749461642222, 1.8438692920004824, 1.8465509327484027, 1.8471833341749269, 1.8497986152796366, 1.8515886428748083, 1.851731614280234, 1.8546633330157336, 1.8553209764246397, 1.857908244930353, 1.860026279302811, 1.861608922303249, 1.8654133709053096, 1.8655250883661423, 1.8671594526032886, 1.8685295166938551, 1.8690421378943023, 1.873326150583205, 1.8746244669222671, 1.876232399349751, 1.8791358583390665, 1.8791439507134178, 1.8806295051038162, 1.8832492192677466, 1.8844665542326322, 1.8895404250095609, 1.890340404056586, 1.890990384873003, 1.892222430396811, 1.8931909254582588, 1.8960839720181923, 1.896916095682678, 1.897298084312697, 1.898254826983394, 1.9007445850974283, 1.901464111057896, 1.9034511679054225, 1.9034516859161141, 1.9045163581181306, 1.9063984566312355, 1.9089864686917648, 1.911179715440085, 1.912202292092822, 1.912563262931733, 1.9132511117923685, 1.9142830587342443, 1.9167632358445805, 1.9171258604863362, 1.925071849439275, 1.9254703770606836, 1.9263024147144754, 1.9264749229267846, 1.9297063484960733, 1.934693362729138, 1.9356855868706198, 1.9373790110691305, 1.9376447081479504, 1.9384514864567866, 1.9398568628621253, 1.9400443511012198, 1.9417882220631864, 1.9428446449505996, 1.9471143889125875, 1.9475939359307541, 1.9487011030563266, 1.9495663443875206, 1.950354383486992, 1.9526146204557604, 1.9531825588863785, 1.9556053900696004, 1.9556163331242227, 1.9572557007693716, 1.962758738502998, 1.9651875052575611, 1.965942885581273, 1.9666573416796627, 1.9672458673970472, 1.9688729181543616, 1.9704371966220462, 1.9742753060626024, 1.9744753390019354, 1.9746346313933179, 1.9771710735098968, 1.9774138387719504, 1.9802956240832805, 1.981593272485655, 1.9839099150076338, 1.98503526862464, 1.9857328803264418, 1.9882281682777345, 1.9884610977690413, 1.9889783163140557, 1.9922174824974221, 1.9938502718016358, 1.9944732224454436, 1.9946406545204574, 1.9948202975693472, 1.9965240849295725, 1.9989780880264543, 2.000000000000007, 2.0001121939832385, 2.00393479509271, 2.004153674586845, 2.005348277519296, 2.0058762869950395, 2.007464532747979, 2.007654036366476, 2.0093381208776946, 2.0109605406002045, 2.011444650431855, 2.0123867505075532, 2.0135211743509305, 2.0158655029930586, 2.017092202937472, 2.017222444115206, 2.017376715830454, 2.017619923196321, 2.018248682106592, 2.018311860895812, 2.0200184918632926, 2.0203506169372374, 2.020749151348381, 2.0210200508021345, 2.0218000500263353, 2.023381410389315, 2.02357413839222, 2.023999989896182, 2.0260588005713482, 2.0262959298350753, 2.0270198669682626, 2.028149301734703, 2.028309446840537, 2.0285420041896813, 2.0300087393390136, 2.0304022817213045, 2.0319674600639273, 2.032782717783768, 2.033119700968144, 2.0340839015304106, 2.034214845723611, 2.0346617163643033, 2.035480266022106, 2.035557464652645, 2.0363670358478543, 2.0378611845595485, 2.0379621039722977, 2.0389428791741335, 2.0397681686342843, 2.0404781248140917, 2.040679212587952, 2.0406980236560566, 2.0419799958674427, 2.0423745558049724, 2.042980330354218, 2.0446773273597016, 2.0448603396688405, 2.0464263128816094, 2.0473357825486658, 2.0473584086403633, 2.0487662840094454, 2.0492251485231456, 2.049824513683146, 2.050025993295577, 2.050196452411693, 2.0503206413923696, 2.0513776867002305, 2.0517197598372108, 2.0524355917421806, 2.0546041930021937, 2.056279705477395, 2.0567803729598575, 2.0572157995683065, 2.059533699976268, 2.060257921292635, 2.0610837688156183, 2.062260352700196, 2.0625997417789756, 2.0628975854859224, 2.0641306083028654, 2.064527693621089, 2.06502646498331, 2.065116981744247, 2.0667404123070465, 2.0672047772138336, 2.067631474996007, 2.0711577315602736, 2.0714130733865073, 2.072080994218774, 2.073282071882844, 2.0750155081625783, 2.0756179041284835, 2.076002596891041, 2.0766450703188206, 2.0767024053894154, 2.078355732433649, 2.0789397643993035, 2.0800509720151767, 2.080964849291639, 2.0811871934616746, 2.0817790163754943, 2.0832011113254523, 2.0845915688159553, 2.08545228688398, 2.0860238360068295, 2.087721926433682, 2.088078751685372, 2.0890283694625253, 2.089347710317922, 2.0907623521584218, 2.0923440435249225, 2.0930262764965337, 2.0960562593698913, 2.0966173274295867, 2.096841112791347, 2.0978253661430712, 2.09806857546741, 2.0987505693301647, 2.0988448394899835, 2.0993427056768583, 2.1000366535561543, 2.1005537357970536, 2.1035869872693493, 2.105148256782545, 2.108615748807539, 2.1103270222560115, 2.1106460186013973, 2.111007317121453, 2.1130804642931755, 2.1144079621980025, 2.1151048136674113, 2.117877752210367, 2.118385395594831, 2.1206155946881196, 2.122394612462795, 2.124653055178365, 2.124917521072162, 2.126556365248203, 2.1268615304350726, 2.128324832666497, 2.128348159543437, 2.130472963808601, 2.1304874174554476, 2.1305671419749483, 2.1319437420941796, 2.132059947585365, 2.132067471237886, 2.1340327805318484, 2.134424305114125, 2.134678979080029, 2.136195396616501, 2.1370728994582096, 2.1387356950126373, 2.140790584798529, 2.1418643295078197, 2.1426390695855857, 2.144277315138828, 2.1462206773415957, 2.1475693068977453, 2.1500528594058697, 2.1521438551790224, 2.1547765300961146, 2.155745171093945, 2.156047589155661, 2.1586291147345693, 2.1588822997687975, 2.1617007568138225, 2.16349875481769, 2.16825135991578, 2.168639334826065, 2.169626842489692, 2.17166601072051, 2.1720673235387022, 2.1724080049247187, 2.1735048398170655, 2.17454839475192, 2.1750892218517177, 2.1757709021134395, 2.1775171316525093, 2.178199624804216, 2.179390899804094, 2.179797121498855, 2.1805745035669193, 2.1822596969863346, 2.183309293609301, 2.183629931958419, 2.1870186080139082, 2.192393250809395, 2.196415495364785, 2.197847894633764, 2.197879182985239, 2.1988975641628627, 2.1993413811944285, 2.201053133347676, 2.206068517118492, 2.208351140137987, 2.2098510321735305, 2.210967268430517, 2.218185251657744, 2.22149657316895, 2.2244257418646955, 2.2272031511252566, 2.230759190938316, 2.2313390357114398, 2.237327193968577, 2.2374442291951824, 2.2408024563120708, 2.243365587694681, 2.246340285215417, 2.247399514957998, 2.248201774531048, 2.253189393641811, 2.2532144431472263, 2.2596670645351757, 2.2615016247535937, 2.2625201625523657, 2.2663010831040196, 2.2694661877075992, 2.2719378404517276, 2.2747002763610693, 2.282509686799589, 2.2838026579548427, 2.283899441129965, 2.2860829378942924, 2.286931576351444, 2.2895865715878942, 2.289820295385929, 2.2911224717931074, 2.293334645993145, 2.296542778597039, 2.300276368486451, 2.300939809251603, 2.304129173032012, 2.306020868737957, 2.3077859652217914, 2.3084765200654602, 2.308806887315237, 2.3154809174008473, 2.3194513288678658, 2.3210936121439927, 2.3231149915798444, 2.327693028091772, 2.328583553751761, 2.3293356571307777, 2.3312278096564016, 2.3337548239474075, 2.3369002206970952, 2.3388652747835845, 2.3422069506150867, 2.3426147038684513, 2.3448828530421855, 2.3472936437858367, 2.348106563684818, 2.349689839879893, 2.3520544919935165, 2.3544668459553635, 2.3558849039291623, 2.3582204414677066, 2.3613483781768774, 2.3644693969956356, 2.3670345315277963, 2.3684814745799314, 2.372680381822522, 2.378186747558371, 2.3783807863344415, 2.379457787174036, 2.382320707515681, 2.383274058132341, 2.384099894890886, 2.384259956302015, 2.3888786020550175, 2.391313745207101, 2.398510822370448, 2.4024953869075754, 2.4053007243615157, 2.406485618776385, 2.407594143098985, 2.4100350702464888, 2.4147934780201785, 2.418531231733212, 2.4192152159902474, 2.425954399637699, 2.4274772993541465, 2.4306803420588023, 2.434149953201301, 2.436419174705247, 2.4412120806631985, 2.441221622624836, 2.4488555165218666, 2.450361128544008, 2.4607838933023674, 2.461787649905952, 2.469503605985774, 2.4720918116013255, 2.4749541233506367, 2.4753692596781725, 2.4806360443416318, 2.482005458148822, 2.4871824422928177, 2.4921996846783054, 2.4977188611454193, 2.497943114721026, 2.4993577210760254, 2.4999736051497887, 2.5032087341380103, 2.504035860442788, 2.514241749045467, 2.5178805755952247, 2.518218534665185, 2.521787687988654, 2.5228024660574015, 2.5284398017833656, 2.534083355349005, 2.535938155567628, 2.53657464956584, 2.5433617076578354, 2.5508519254957416, 2.5526865108167183, 2.55355461534204, 2.5567392526664237, 2.558756963204239, 2.561579861935232, 2.56351231573865, 2.564291472272878, 2.5673001279382293, 2.5698677214798282, 2.571759210758652, 2.5731937104976788, 2.578032958566861, 2.5780480841031266, 2.5799647852892407, 2.591530915462428, 2.5922233399121124, 2.6064251214287606, 2.6140722829407443, 2.6154171105944566, 2.6210954427427606, 2.6336378733159185, 2.6380719118499796, 2.6458613809595772, 2.65193770218508, 2.653987501922052, 2.6580134936391944, 2.6590026000136295, 2.662415490444344, 2.6657390771229825, 2.668357248311506, 2.671359091808074, 2.671995252591043, 2.6730797876241033, 2.6736747427776817, 2.6748944759531486, 2.67775116660459, 2.6813789149813476, 2.6860254756760877, 2.695280781676335, 2.697731738988548, 2.7028925249412934, 2.7030131330675373, 2.705645179973517, 2.7095411216628666, 2.711055198950081, 2.7125519697494465, 2.71478949584347, 2.7158718813310454, 2.716542449157831, 2.720106001938811, 2.721244721659774, 2.7235059202460166, 2.7256144478204116, 2.726950892841673, 2.7324567176880854, 2.733994914223025, 2.737160662946906, 2.738486048194286, 2.7393351279688773, 2.7411586821879257, 2.7482758107367427, 2.748501105591953, 2.749334042858226, 2.7502881070855123, 2.75129733149194, 2.756696404395619, 2.7575642085859386, 2.7584701832118013, 2.7585381995848253, 2.7610372029198484, 2.7613758210426598, 2.7636971087742355, 2.763905257765704, 2.7641182020195, 2.7644921251206, 2.769399369175941, 2.770204059663117, 2.7707302870708226, 2.7710853462337885, 2.7716998508814146, 2.7747892187971415, 2.7774758932366788, 2.7784830818734316, 2.779267424196006, 2.7800488507992425, 2.7813342842591497, 2.782082996068883, 2.7840627329128345, 2.7843986495661444, 2.7847951722708193, 2.7858534472445258, 2.787654037987274, 2.7877493542927034, 2.789644380000273, 2.7922240006699552, 2.7925294013182653, 2.796388796631036, 2.7964647289762943, 2.7965153553139026, 2.7996312518946356, 2.8023140474528656, 2.803546480695754, 2.8036009722185398, 2.80439361613879, 2.806854101167002, 2.8075135004520178, 2.807887378254088, 2.8086569694958157, 2.8090419840724707, 2.8103583863314396, 2.811636965186482, 2.815355666178804, 2.816702937276439, 2.8188354556242756, 2.820030254691775, 2.8220377405257433, 2.8220788845423423, 2.8248528803040442, 2.825636020844624, 2.827211525416345, 2.8289492169312407, 2.830908321193091, 2.832649318331748, 2.8330412621218777, 2.8344679720773005, 2.8359389091683256, 2.8373118377483126, 2.8405360755774067, 2.8413589859114836, 2.8419878992599976, 2.8423924297106153, 2.843130418684141, 2.846535187834238, 2.849196865458066, 2.85070260037758, 2.850933628383765, 2.8522006828961186, 2.8530225851987128, 2.8541024511677437, 2.857032045333772, 2.857156134913049, 2.859817373407885, 2.862234676511628, 2.864491978855568, 2.864638044587841, 2.8646532832668097, 2.868168067613021, 2.868857985283571, 2.869430471009116, 2.8713548289616906, 2.8798830663446093, 2.879993246347414, 2.8822692938303573, 2.8826917110729915, 2.885230303006552, 2.8885339309448907, 2.891103639918776, 2.893413357586733, 2.894978654438477, 2.8953457545896337, 2.8990266547126646, 2.899612899376502, 2.9016949620852626, 2.902586288016508, 2.9049291652782694, 2.9071856725930654, 2.909167632221934, 2.915060236622943, 2.9157476266721725, 2.920126362556679, 2.920222911531653, 2.9215760393706787, 2.9263402512259704, 2.927710780310228, 2.927780886309417, 2.9289317097041976, 2.9296821030675173, 2.9304524810379555, 2.9322388561543336, 2.9325214841791327, 2.937128917058737, 2.9389329504398347, 2.941061134952093, 2.9416476303682773, 2.942918648679843, 2.94299833591442, 2.9453402924403136, 2.9504328317618165, 2.951266516797182, 2.954873577480843, 2.9577824360029403, 2.958335102454104, 2.959102054667479, 2.9596152093604133, 2.9602839417830786, 2.9629214533854653, 2.963785899528839, 2.963853223866597, 2.964073918771675, 2.9647856560286288, 2.9667705833976274, 2.9690085665358015, 2.9701086250620534, 2.970533595655581, 2.971345528325844, 2.971997006678976, 2.9730935118264825, 2.973728673028825, 2.9753774858212374, 2.9757093419384724, 2.976745889231213, 2.9781960297906793, 2.9794813635052058, 2.979694441419206, 2.979975541164497, 2.9825373060407228, 2.982703847628458, 2.9830089612859707, 2.9835996854421145, 2.984524177513103, 2.985376905998363, 2.985694726679943, 2.9865412086145104, 2.9878130761645245, 2.9883973480368953, 2.9887321669156397, 2.9909770209019784, 2.9916435939810024, 2.99246369882172, 2.992568307383226, 2.9929345567946637, 2.9944307922961797, 2.994865236345654, 2.99606068411436, 2.996377408389105, 2.996662961494485, 2.996799523708659, 2.997553450152608, 2.998872219381144, 2.999355903164915, 3.000491061658995, 3.001870673833107, 3.002262854682782, 3.0024634176448353, 3.004273709554144, 3.0053937923057834, 3.006732778860795, 3.00821480168397, 3.0088118135681237, 3.009391800942749, 3.0141057927355943, 3.0143502607564767, 3.0143694509410452, 3.0147833506791137, 3.0150307625902752, 3.0183700067339903, 3.019248328724619, 3.0199760247745413, 3.020119241169507, 3.020710677092694, 3.0235535214502605, 3.0235858060468113, 3.025269717560794, 3.02623705195701, 3.027669835486889, 3.028145281506235, 3.028744026624021, 3.028839668668089, 3.028849837639618, 3.029337311899363, 3.031152580927589, 3.0317077969171002, 3.0324855662756716, 3.033564450141695, 3.034103877765632, 3.0341907524817953, 3.0351578833086843, 3.0373937170335013, 3.0383072304383107, 3.0384365945358662, 3.0402744302112796, 3.040911947651992, 3.040994361135198, 3.0439905339635738, 3.045904938692035, 3.047725453534736, 3.0488480446084183, 3.0510337657492377, 3.0511377595533276, 3.0523752112830276, 3.052867021845136, 3.054168129954598, 3.0551109430348555, 3.0603202420063464, 3.061042975078928, 3.0619070018918295, 3.0626294233971305, 3.0652195045706576, 3.066744431123033, 3.0677482773177838, 3.068343065048726, 3.07095157244495, 3.072333616629296, 3.07243998894153, 3.072537810245916, 3.073183557335478, 3.076977358193387, 3.077431851552077, 3.078239765157682, 3.078816530022219, 3.081276715874163, 3.0820934808849776, 3.0828024580771793, 3.082828391883964, 3.085583547623803, 3.0856500065160097, 3.0867718795221983, 3.0873348991797074, 3.08845886276614, 3.088907555715513, 3.0893071046934617, 3.0898258392089413, 3.0915985375009085, 3.0917644942700866, 3.092427010223733, 3.094513396293335, 3.097233588379458, 3.10049310601006, 3.1009162231510277, 3.101202523734868, 3.1012234310163507, 3.102900091591087, 3.104223796427406, 3.1061160236347827, 3.108795958755854, 3.109399801422066, 3.110071804939365, 3.1115065586574837, 3.1129266190063136, 3.114776154254142, 3.1163698025424797, 3.116983530152569, 3.1188652844802136, 3.1193268549914097, 3.123641996753373, 3.125069714524033, 3.125893446782789, 3.1262027582468708, 3.1265686496216585, 3.1267097014589442, 3.1276294478613687, 3.1279849620672304, 3.1298622969531786, 3.1301054858037745, 3.1313388122010357, 3.1315271061235084, 3.135802365529144, 3.1360853362725796, 3.1373750774526252, 3.139034892586096, 3.140818464366526, 3.141141074641977, 3.1451291453502055, 3.146441192380445, 3.1470298988897007, 3.1491275302129145, 3.150058689321803, 3.1516706208687224, 3.152072073649121, 3.1526463024644555, 3.1564184102584005, 3.1584947172312483, 3.15913781329548, 3.1599380405358297, 3.1605949138346627, 3.165428398266965, 3.165759678810478, 3.1689186129860114, 3.1690454637254786, 3.170593537976266, 3.170950420381934, 3.1726021006023037, 3.1728279047978782, 3.1744291061666154, 3.1754128102082473, 3.176161439512293, 3.1769141185508185, 3.1804502860802497, 3.1804617238361734, 3.1811782232322905, 3.181702550108791, 3.1826494178857656, 3.182682020736313, 3.1842386661847586, 3.184750294161251, 3.1848763512402996, 3.1861177887037435, 3.1873909846566204, 3.1877375509472534, 3.188949276397718, 3.189124916584438, 3.1907911176083745, 3.192403420642487, 3.1931727064969677, 3.194005277699469, 3.1966825000923835, 3.1970321350260638, 3.1977896734578435, 3.198760159138129, 3.2004815561984565, 3.2005283907291644, 3.2006124700766, 3.2017690884908516, 3.2020734899669483, 3.2030887218879944, 3.2032075759425043, 3.203431874671431, 3.2036248314873994, 3.204208417589615, 3.2072131400330717, 3.2086367662321735, 3.2093728821238314, 3.2098472173243056, 3.210262678437237, 3.211427717001144, 3.2129945443176546, 3.2130600238950966, 3.2131833102464187, 3.2136025397750942, 3.214922892164035, 3.2160632164727323, 3.2172146677186637, 3.218484145261458, 3.2195750647961323, 3.2203886521589182, 3.222205443845656, 3.2223717439362254, 3.222430627524006, 3.2234935948074876, 3.22412170012959, 3.224639124050967, 3.2251302447382506, 3.225418779868613, 3.227669045969999, 3.227964480986664, 3.228084821210532, 3.228643172431958, 3.2291536466316626, 3.229806822473635, 3.2300204855116257, 3.2305146037753087, 3.231441475460886, 3.2325560328953125, 3.232807817035439, 3.2335207682229368, 3.2347724099412036, 3.234949542545898, 3.2357497314463273, 3.2358720858606547, 3.2365188044596125, 3.23670413735417, 3.23677014980725, 3.238967852096992, 3.2396635419250694, 3.2397509708194048, 3.2402659292855756, 3.240391597299499, 3.2420780412685906, 3.2425273839092172, 3.24382949610214, 3.2453434876444867, 3.245839197476682, 3.246587721056523, 3.247373726297253, 3.2478854130703523, 3.2482038016100345, 3.252271698565447, 3.2532390346438547, 3.25500245954032, 3.2556648947413267, 3.2577765464843456, 3.258011880644215, 3.2580492360209163, 3.258363058334453, 3.2624339732717176, 3.262510453956224, 3.2630017920829784, 3.2662143693604597, 3.267130761290282, 3.2679260369453096, 3.272203515551313, 3.273284574609023, 3.2747860003862828, 3.27496783347452, 3.2763511955489144, 3.2800844488280267, 3.280562729375241, 3.281860954532247, 3.283024895654569, 3.2831381610225043, 3.2843029255120646, 3.2866469539890693, 3.286762306470129, 3.2886632005191525, 3.2891125399728876, 3.2891542391731594, 3.2916256554388528, 3.294456230437069, 3.2949462293307534, 3.2954565826578692, 3.2988295780650487, 3.299194780034434, 3.299437754119245, 3.3022362886902665, 3.3031107477467034, 3.304611941966262, 3.3057750728163757, 3.3065612952972137, 3.3073265262482123, 3.3081024693477907, 3.3081810557606914, 3.309365115059484, 3.3104721456928625, 3.311247769412938, 3.312099829438333, 3.312500870831784, 3.314569546951051, 3.3148843141387343, 3.317240638253843, 3.318976318861052, 3.320421323486969, 3.3220307431283302, 3.3232116744197024, 3.3251309146777337, 3.3256348471300825, 3.3261404951668903, 3.326616872879255, 3.3270052519615714, 3.327171952450907, 3.3295971481339923, 3.3300940817101674, 3.331219307618799, 3.331570956315514, 3.332353875740136, 3.33260018850904, 3.3328352222982547, 3.333695279208126, 3.334035388259063, 3.3351681241311293, 3.3356779474396006, 3.3379270844350377, 3.338063935866032, 3.3382171336188136, 3.339150505371865, 3.3397172204256313, 3.3401023433516803, 3.3408079661828527, 3.3435253941835215, 3.345357008108487, 3.3458452562362417, 3.3472198535852815, 3.3477058093044443, 3.3492386537386123, 3.349698833205971, 3.3501557639684294, 3.350761047130945, 3.353284615698154, 3.354345254972481, 3.3545413964650788, 3.355962804123021, 3.3560448360263693, 3.3577189604113826, 3.357985178765149, 3.3580421832346525, 3.359868497236826, 3.359887677682026, 3.360075081562121, 3.362227851362299, 3.3628267128517613, 3.364852913130671, 3.3651342434969655, 3.3667564185084626, 3.3671322922523075, 3.3680322739027004, 3.3684024576265794, 3.3688168785546333, 3.3691092774789166, 3.370289698237578, 3.3715259289776593, 3.372244079324002, 3.3728290205558467, 3.3736147129082794, 3.374198323824543, 3.374732025617139, 3.3771184911817964, 3.3780495139784024, 3.3787078691013255, 3.3788757901010085, 3.3795355279216692, 3.380311843904392, 3.3821350570525786, 3.3830203845231104, 3.383024969530897, 3.38438652245365, 3.384715283812001, 3.3865289450986085, 3.3870344086865627, 3.387937330015601, 3.388659319584806, 3.390119625721074, 3.391766170680461, 3.391956864611186, 3.3930119340778244, 3.393114726206758, 3.393308240377815, 3.393618584831495, 3.396175577143631, 3.39719712659097, 3.3981877469063697, 3.399116048137716, 3.3995412852736986, 3.400455118747112, 3.4019332163466904, 3.4026831751194306, 3.403558765115729, 3.404311202931532, 3.404513671352819, 3.404914453397012, 3.4056972401190917, 3.4075605299505383, 3.4096111312044424, 3.4103824271183507, 3.4155550066143316, 3.416208699264097, 3.41667347719725, 3.419072676085557, 3.4194861246393633, 3.42054011631021, 3.4223367656294963, 3.4237058171315367, 3.424708016457335, 3.425078009048873, 3.425200031042164, 3.4262251896179645, 3.428792927392951, 3.4306830968110247, 3.43099585879011, 3.432250667622181, 3.432618249855525, 3.433403832001753, 3.4336114100847794, 3.4368638650386685, 3.4382600691082645, 3.4402351281280277, 3.4405305802067003, 3.4411695611600917, 3.445009470903695, 3.4450931536507365, 3.450816730619852, 3.451512916588277, 3.4523879080299187, 3.4544213202688043, 3.4586671423850457, 3.460129919830352, 3.4618150238813468, 3.4625745199715854, 3.4646387271802124, 3.4678405911653725, 3.4701242001656416, 3.47109250735673, 3.471489388392356, 3.472706480187313, 3.4739132387804106, 3.474792713217651, 3.477767411573696, 3.4782592875990237, 3.479295219101526, 3.4796758646577226, 3.4807030515542325, 3.482400143628121, 3.4838403831452913, 3.485361826345225, 3.485979280791193, 3.487132704126151, 3.4899638634765733, 3.490308949528135, 3.490896326226631, 3.4913795344502647, 3.4925373344537776, 3.4926836062362203, 3.493332349890888, 3.497256465958248, 3.4999725704873565, 3.501614226271984, 3.501769243095567, 3.5035315127545745, 3.504012585372101, 3.5040483867705694, 3.5053257464549348, 3.505607314572974, 3.5073649140992944, 3.511513141272939, 3.5118347753210677, 3.5124205754131346, 3.5137372530893964, 3.5138876613885754, 3.5173053448621894, 3.5184812171243696, 3.519816147017445, 3.5215067968357445, 3.5225410240972708, 3.5228251205106105, 3.525209258286113, 3.5259508575603666, 3.526056593010632, 3.527759830257163, 3.5315330239910225, 3.536003299972159, 3.5376640267557895, 3.5381842134481842, 3.5384472572127033, 3.540270195322151, 3.54306957122167, 3.5431883014325254, 3.5439000713428777, 3.5448465499462443, 3.5455175568121393, 3.547765403676183, 3.5499718630658763, 3.550071061767979, 3.5510958752651614, 3.5521455284099024, 3.5536500029682276, 3.5546474379409863, 3.554843375839099, 3.5556829692764267, 3.555748906332728, 3.559398874120589, 3.560414135827073, 3.5608062696774905, 3.5609847295551442, 3.5615006403641987, 3.5627324533584903, 3.563076181410552, 3.563532525046992, 3.5651072976134146, 3.5679319592804815, 3.568905474487737, 3.5698791394238367, 3.570865177378886, 3.5719368147269495, 3.5729281393845387, 3.5731715009234337, 3.574364685771682, 3.5749704007566483, 3.5757747788707257, 3.5757752202587882, 3.576796625034243, 3.57820345953683, 3.5829196624172783, 3.583337477632045, 3.5850271259407025, 3.5853323230971124, 3.5868652437931856, 3.587057711131596, 3.5880833103476437, 3.5901569517245595, 3.5921525754101666, 3.5926278493179615, 3.596200726704785, 3.59914950077582, 3.5996449070054357, 3.599691601434977, 3.602235511851354, 3.604456244778153, 3.605231949928809, 3.6055986677072043, 3.608988436525205, 3.610426291784064, 3.6128046846605444, 3.6142831247106675, 3.614286585546064, 3.614848281288574, 3.6156383408825783, 3.6185994728715807, 3.619417739794047, 3.6207410214393554, 3.62304475118418, 3.6232240138387564, 3.623891776449873, 3.6269504814518574, 3.629262805068555, 3.6297234312854347, 3.6310536267821645, 3.63292241129747, 3.6350312638853954, 3.6368767709142356, 3.6370210494509645, 3.6372425263925385, 3.637606076609259, 3.6381003272191825, 3.642171724925011, 3.643815964611429, 3.6458205545426154, 3.647896549797177, 3.6480712538763513, 3.648400997510806, 3.648612463699385, 3.6496162998106416, 3.6500030269788297, 3.6509898510761283, 3.651729750376842, 3.6521853763020933, 3.6537805301725603, 3.65507613814549, 3.657183883834409, 3.657192316335089, 3.657722039260216, 3.659834389413823, 3.6602834868663985, 3.6610972384600773, 3.6640520504311724, 3.6652637946199595, 3.66612392219059, 3.6689229754025026, 3.6700134679831438, 3.671212993735068, 3.6715453845430543, 3.6716467810842186, 3.6732095795144755, 3.6753895506322927, 3.6760968692750873, 3.6763842541279113, 3.679771429082818, 3.6808998200268728, 3.681160136501382, 3.684652306689604, 3.6862998976247265, 3.6866519455517452, 3.6880786672434223, 3.6883186705006157, 3.690887953641819, 3.6909988363095545, 3.691428799122027, 3.6939954010941505, 3.69504012194788, 3.69531194600204, 3.6953787452952995, 3.6960734186297746, 3.699341582670512, 3.6993450490737034, 3.7009411912091603, 3.701569568880551, 3.7027680131363767, 3.7035809007057408, 3.7036261423465633, 3.7059056620930826, 3.705926930800753, 3.707597220136591, 3.7077177536962913, 3.708387965912428, 3.7107992740481515, 3.711087371428462, 3.712141128082408, 3.7121531154859695, 3.7123149002129554, 3.7141094820867777, 3.714571011884959, 3.716048284017387, 3.717311613374666, 3.7174262141859318, 3.7175763880870862, 3.7181097926401097, 3.718906457812978, 3.7226905306965343, 3.723241990108053, 3.72430064422295, 3.724369050199131, 3.7247425002520145, 3.7251022314357374, 3.727688896282666, 3.7301479964385544, 3.730503806602222, 3.734861733143632, 3.7349776208416023, 3.7369633288545927, 3.7380615576220753, 3.739186658035151, 3.741593498761394, 3.7417785199073585, 3.743532079479974, 3.74364704520063, 3.743841463846774, 3.744140657280514, 3.7445066993782454, 3.7467517371287453, 3.7487101985757807, 3.7499043313676172, 3.750925509061353, 3.7524599118275033, 3.7542739952359008, 3.756582912559865, 3.757080551248279, 3.7573635417341773, 3.7588985426609036, 3.7609892699523106, 3.7610645179552313, 3.762633636627857, 3.763255679967667, 3.764521061565905, 3.764782841330401, 3.7661202221989476, 3.7675417181724176, 3.7681074567600272, 3.7681490809536866, 3.768287598064486, 3.7715996046463127, 3.7721631263527278, 3.7729259527691026, 3.772966139134524, 3.7764637149140703, 3.781333773858545, 3.781593704489961, 3.7826203236963756, 3.7847545968355036, 3.7855302228883394, 3.7861850495461393, 3.7867532597784774, 3.7884110491477427, 3.7891106735107667, 3.7891413581118027, 3.7906387954345937, 3.7931673304005877, 3.795559228602203, 3.7986709965193826, 3.8006885756741284, 3.8008135503799103, 3.8010726291216366, 3.801998978923578, 3.8034964662234176, 3.8035466826316897, 3.804221638260489, 3.8052050307024308, 3.8057510022726935, 3.8064091324804212, 3.8087888831114283, 3.8096579027635156, 3.8100640595460944, 3.811198958286903, 3.811895480289337, 3.8127682241507195, 3.8164991810424214, 3.817104432208049, 3.8178829642742285, 3.8182354891160117, 3.819134146631089, 3.82172044309224, 3.821989634364854, 3.8259081315682826, 3.830204206045571, 3.831613904972827, 3.832872121878501, 3.8336724731494956, 3.836395629954922, 3.8384970606039563, 3.839884161513571, 3.8430440192964284, 3.8451743381423684, 3.859328410466182, 3.861676915335682, 3.8646918567745936, 3.8649033975472555, 3.866692053063585, 3.867308242428797, 3.8695191672396505, 3.8770607563466664, 3.8776569621654686, 3.879658337250261, 3.8821377104575934, 3.8830625013217417, 3.885900992918838, 3.888354729378841, 3.891972726924621, 3.892654439913027, 3.89492334225462, 3.89979272346178, 3.900316731356952, 3.9005744536683666, 3.900700821087558, 3.90354114154807, 3.903982547994696, 3.9100965675368267, 3.91012861913301, 3.9127821592336645, 3.9158314842798934, 3.916151161142938, 3.9232243616083577, 3.9264402171400556, 3.9266595995200806, 3.9306312361215685, 3.9327369577362483, 3.9333055983061893, 3.933311097195674, 3.937907688894851, 3.939938611010941, 3.941856551199413, 3.942900358290813, 3.9466981762914743, 3.948589067724085, 3.9508781099171015, 3.951235767493075, 3.9518976062275657, 3.9567487140593616, 3.959459783226883, 3.9596611281277574, 3.961909911265739, 3.9643780719173765, 3.9655594364354614, 3.9674443581319307, 3.9675564398489085, 3.9681303740737537, 3.9685768385537075, 3.969604697521002, 3.97470034678391, 3.9777488734088915, 3.982324128086476, 3.984312539555244, 3.984933457218839, 3.9878299513057045, 3.9910064791818525, 3.993268960755234, 3.9952728962372106, 3.996362315409411, 3.996858565034919, 3.9999999999999947, 4.001741724443387, 4.005233683221682, 4.007376450404548, 4.008405321676022, 4.010492002835796, 4.012118820944878, 4.014987058441525, 4.019073427804534, 4.0246042851972454, 4.0249927583929495, 4.027369878662089, 4.030980605896831, 4.034429171670393, 4.035035483363642, 4.0364601964947315, 4.038535385988159, 4.040465417152927, 4.043668696735649, 4.044298655213972, 4.051327858336931, 4.058823099007023, 4.059379280981931, 4.059861050027513, 4.066551463250238, 4.068251701101646, 4.069430373826398, 4.070039724908366, 4.070940911179119, 4.071164011288974, 4.072191763828219, 4.074816803118589, 4.078280565782684, 4.079540586121029, 4.083504436302771, 4.083753210975625, 4.08569798206398, 4.088496243564202, 4.089298266842444, 4.090098582322191, 4.091802627515555, 4.0949715813014755, 4.100569491097871, 4.102478106125786, 4.102929706615809, 4.10580126143286, 4.107409781640409, 4.10767538468917, 4.1092422073634705, 4.110430294393322, 4.114568353846129, 4.117628203488578, 4.11780696769937, 4.1205687669864925, 4.1222931506943485, 4.1247623198880605, 4.126288462801182, 4.132209015943075, 4.135003989596347, 4.135781405762447, 4.138757935391421, 4.140496405173089, 4.14702503540091, 4.149107604408441, 4.149213748245515, 4.15032472315315, 4.150904804857771, 4.154499404689262, 4.156139595477309, 4.1561794046840514, 4.164260441184088, 4.166791843904324, 4.170644093936022, 4.171178533379819, 4.175525281082392, 4.177231545076708, 4.179964329243144, 4.184264352240652, 4.18712328307341, 4.199464584328383, 4.199681955910128, 4.201654629996177, 4.203578327108123, 4.204241610418159, 4.205528092148504, 4.209398569147446, 4.212354035184656, 4.213035495067228, 4.216927442625649, 4.217246632436203, 4.21835694619884, 4.219941913363313, 4.225745936036443, 4.226432153907287, 4.229605230463521, 4.233992663659967, 4.23773717341022, 4.242662155534522, 4.24574871362226, 4.245795933446919, 4.2464425540815265, 4.249190027788046, 4.255348140836596, 4.25567099505217, 4.257516952336105, 4.26094680278629, 4.263249706544522, 4.266957361276453, 4.267476571665321, 4.267607314373172, 4.2686710045408045, 4.271163141696444, 4.2740118315569795, 4.274590225030254, 4.275550240594879, 4.282361401464847, 4.282497686085311, 4.284721879710287, 4.284913087496478, 4.2858692129349505, 4.286292175080325, 4.289835594317159, 4.290840204414535, 4.292724524252111, 4.293858001016204, 4.295213426370012, 4.29641597819709, 4.299730826507494, 4.300205517222833, 4.300935238353204, 4.30384037300774, 4.3075151196785955, 4.312018769272431, 4.314493748118324, 4.3154072742357075, 4.315991281925296, 4.317740398374268, 4.319773886986501, 4.320019982628976, 4.320677096906182, 4.320790918256095, 4.323769742078368, 4.3244603121358445, 4.325664470087134, 4.328355734750698, 4.331321907283856, 4.331534799700396, 4.333737387968836, 4.335947568840075, 4.337018469333098, 4.33722702204069, 4.338627061883613, 4.338976926673399, 4.342546779677809, 4.343821445875762, 4.34713840461799, 4.3478555287809195, 4.347898059308328, 4.348687372745635, 4.352646579690935, 4.354016215463873, 4.354975564120626, 4.355685027549452, 4.357048804441947, 4.357090959314666, 4.360172363336525, 4.361916251702226, 4.362026474741953, 4.362442038862725, 4.36626485534678, 4.3663610536899125, 4.3677598452209665, 4.370998863493412, 4.373030538632744, 4.373914818222176, 4.374304990549113, 4.376692646846043, 4.377017004604976, 4.382198761690761, 4.38362524490253, 4.3839676588648695, 4.385079093735993, 4.385945479878386, 4.388252160564308, 4.388428631326479, 4.393452573773616, 4.39488027693651, 4.394898301638036, 4.396275630081793, 4.399443366876773, 4.401701977618246, 4.4017916519179145, 4.402212810635636, 4.402773026309029, 4.4029866977634375, 4.409395326729099, 4.41199751191603, 4.413051564913889, 4.41351341488331, 4.418165182194873, 4.419061777682577, 4.420619527643883, 4.421791844843448, 4.421924256661116, 4.423477645108226, 4.425034312306467, 4.427966280707538, 4.427993548236492, 4.428334251189744, 4.430840959455413, 4.432146614013674, 4.43228666817693, 4.434829408473786, 4.436963477947661, 4.4407833660231475, 4.440867760455713, 4.442807313352803, 4.4444478191157595, 4.446852952877992, 4.447540941493663, 4.448104502084719, 4.452033473051824, 4.452571054605753, 4.452614805397156, 4.454397358642238, 4.454742091478336, 4.456598773429748, 4.457806045224555, 4.459174455657899, 4.459281752457354, 4.460928048979856, 4.4626066702923275, 4.4644850686881234, 4.465870862112812, 4.466100217944609, 4.469060952979682, 4.470160671703382, 4.470663105771862, 4.470715761563465, 4.471137475304597, 4.471822151245034, 4.47336767824153, 4.473473817516923, 4.475136299258575, 4.475732380301039, 4.475901399998842, 4.476051560773562, 4.477791199346104, 4.478239463818841, 4.479768293613738, 4.4815013236645935, 4.481762989494319, 4.483048203678651, 4.483578127212209, 4.483723961362203, 4.484894727765676, 4.48871172980675, 4.4917555678292125, 4.492615438395921, 4.492625642813135, 4.493453634217789, 4.49385991113276, 4.494145791164706, 4.495264458156079, 4.496307528926768, 4.496826032233849, 4.498381241671024, 4.498650692865442, 4.500854231973007, 4.502152970630501, 4.503440551541416, 4.5039980283510594, 4.504485897808249, 4.507043424377777, 4.507835471560203, 4.508098818000188, 4.51042906636207, 4.510794763082219, 4.511404238319451, 4.513000718427511, 4.5131449184552865, 4.51351239199986, 4.514193318165835, 4.515302414496838, 4.517410171724592, 4.519242543846622, 4.519251918244709, 4.521451388286848, 4.5214681805145265, 4.5218018473271595, 4.522527442899366, 4.526205765089838, 4.527452929185449, 4.527658898776546, 4.528111372031321, 4.5291786112969, 4.529485387571184, 4.5302092839906365, 4.532134577058867, 4.532210495999765, 4.532899141907657, 4.533943479642396, 4.535527093465989, 4.536124541465797, 4.539649029169887, 4.542495169720699, 4.54304285368077, 4.544232261292778, 4.544708618214977, 4.5454574373908425, 4.5470774300613845, 4.55174171926503, 4.552341038871839, 4.553262218598215, 4.55431353988597, 4.5563715218622445, 4.557790368959879, 4.5582503298845225, 4.560148035568807, 4.560912343301488, 4.56374117146924, 4.567210824456126, 4.567308743626169, 4.570219022713705, 4.570896257561118, 4.571300805622863, 4.571942394501238, 4.572985791170819, 4.577841223798914, 4.579799263561269, 4.581201634149348, 4.583191828311606, 4.583410232796522, 4.588771562470385, 4.58971066384899, 4.593417940091973, 4.593772726743768, 4.596452805061634, 4.59676846334772, 4.596856760678301, 4.5991392493527545, 4.599229714390565, 4.601078324790299, 4.602405941758341, 4.602603500267654, 4.604588046163332, 4.605396994213354, 4.605854567188548, 4.612123059009191, 4.61393168880224, 4.6159669366246145, 4.616734241951104, 4.61685660027042, 4.617404544073589, 4.617715583719203, 4.620544764003358, 4.62123065100666, 4.622387661105886, 4.627398470705613, 4.628131283420628, 4.629892416069677, 4.630342931489508, 4.632088677964555, 4.6350970069032895, 4.635357229332627, 4.6357229296935225, 4.6360732069288195, 4.636759678200376, 4.638792636777762, 4.639164989019797, 4.640520956423904, 4.643075189218164, 4.643393107432614, 4.645630220640748, 4.646308137210879, 4.647198999787331, 4.647733447305317, 4.647967548726454, 4.648022399610609, 4.648154317922525, 4.651248137880927, 4.652004342818925, 4.652326439175688, 4.653336683454884, 4.655323291244246, 4.655803862982726, 4.657322743570167, 4.660801415369647, 4.6626702414633945, 4.6632445424138345, 4.66382933189236, 4.664595416331955, 4.665449243981559, 4.666571087486227, 4.6674714878603165, 4.6686974801250996, 4.669403722502192, 4.671578296639232, 4.671798917000355, 4.671961167178139, 4.672398941102484, 4.67275713772219, 4.674574199997839, 4.675625051026431, 4.678013885825346, 4.679088557396217, 4.679470599053325, 4.680431856495242, 4.681942984419127, 4.682473661399646, 4.682802704739526, 4.684010786424508, 4.6866515153218975, 4.688385158449031, 4.690383825210001, 4.691627043402308, 4.6927470061084104, 4.694564752729563, 4.69606637681648, 4.696176686904811, 4.696323470951171, 4.698891925543305, 4.699134043177699, 4.699191195784563, 4.702983650303445, 4.704070473868543, 4.704602965910093, 4.706276427734579, 4.706831462974207, 4.707898919386395, 4.70864011186406, 4.708777651306657, 4.708966978422777, 4.7097299474463785, 4.710287493233065, 4.710405340078518, 4.710492886013811, 4.713693249397638, 4.715356613032087, 4.715824395140221, 4.718187614813559, 4.719263052906156, 4.719389014741735, 4.720934275806241, 4.722874856852289, 4.7236328741466735, 4.725706384838241, 4.726768152536441, 4.7279164433985255, 4.728754916550617, 4.7305776693489765, 4.73095342768731, 4.731427388092633, 4.732345769802403, 4.7338433806394296, 4.734516939108578, 4.736614671375355, 4.736748648810317, 4.7401606311180995, 4.741733477969479, 4.741967264699423, 4.742469961891807, 4.745390918984615, 4.7462741934671895, 4.746974807878279, 4.750262595579928, 4.751352518096695, 4.751506535834923, 4.752910831680506, 4.7551998354207585, 4.755423260321929, 4.757258015541724, 4.758287096940126, 4.758847238124938, 4.761704429733422, 4.761978251737581, 4.764996803478656, 4.767536382861016, 4.769561975852308, 4.770017507329387, 4.772669553128631, 4.773919392343002, 4.7765385556797115, 4.777441548627163, 4.778405391193586, 4.778694004758914, 4.778742196126068, 4.7825887115995425, 4.785323391028578, 4.7891528554073055, 4.790782977299955, 4.791927937682867, 4.793600801662318, 4.798758782077774, 4.801298088747003, 4.802632290291473, 4.813534714255098, 4.814492877413996, 4.816305606846605, 4.816845044662764, 4.822620966850177, 4.8232183685232295, 4.823389260932011, 4.827626660677235, 4.828338697864053, 4.8299881568551, 4.830034916406704, 4.83376565794009, 4.835097462843957, 4.836134549471298, 4.839203212569825, 4.839495622722551, 4.844694157318869, 4.84529140307862, 4.847684732002637, 4.8478645654780586, 4.852563919514728, 4.8534859675495206, 4.85471387212382, 4.855373266129381, 4.856100645482966, 4.860202958669106, 4.862151410733734, 4.862929654770515, 4.8642987841038146, 4.864349972652095, 4.865852506930526, 4.867921349513315, 4.868051382222288, 4.872492302284588, 4.8741371657541945, 4.874606457601169, 4.874826829128646, 4.874948051392849, 4.879222098770283, 4.8818663621745575, 4.88201407004747, 4.883282597541665, 4.8838190926378795, 4.887208235726198, 4.890224780109002, 4.891395852899317, 4.892276211309655, 4.8947257806031335, 4.896537572009839, 4.89764757627198, 4.900269850020467, 4.903541746461259, 4.9035482835975035, 4.903854021405637, 4.905833896786619, 4.906685611846155, 4.909375868545587, 4.910786741844664, 4.912337744312416, 4.9126665759860275, 4.914764695485066, 4.918552032557924, 4.9204350186070585, 4.920559255816199, 4.921564740388147, 4.923292921478091, 4.923856442668047, 4.926012788667211, 4.9280351290826685, 4.929923821038397, 4.930167788075067, 4.931624039464953, 4.9352697151430105, 4.9385503199228085, 4.938621689349142, 4.939204398670375, 4.9412624036487625, 4.942174184508165, 4.943661804851916, 4.944115718300167, 4.94504661691824, 4.94728850817859, 4.947399431646607, 4.949147908251635, 4.9519256694437646, 4.956833295183913, 4.9568515078792865, 4.957013320923255, 4.959818483073193, 4.960959071548803, 4.961513440752615, 4.96180323389091, 4.9620383677193285, 4.963369724141115, 4.963506499279665, 4.967411955405375, 4.96753056169922, 4.967772744488763, 4.968824961872824, 4.969131990897886, 4.970823522773588, 4.973013078298467, 4.97381677096682, 4.97502266664818, 4.976831401872313, 4.976897255391264, 4.977787562644928, 4.9794618767256225, 4.980310127447478, 4.982013946768526, 4.98234564674581, 4.982505221785106, 4.983648524087376, 4.984337884565389, 4.985960631180155, 4.986241771067678, 4.986581929693916, 4.986628110129523, 4.988172813858706, 4.989460837328326, 4.990849473617796, 4.990943057245694, 4.991309217092453, 4.992309985884486, 4.993648979856137, 4.994432666745537, 4.9946424227085835, 4.994799968066338, 4.995499013364531, 4.9963259655895875, 4.996646108641397, 4.997191269761607, 4.997726263920119, 4.998290752203477, 4.99913917337733, 4.999951940049415, 5.000167039057744, 5.000534441389383, 5.000859040994487, 5.001473563267018, 5.002569481897292, 5.003708335672042, 5.003781985567246, 5.004451903322157, 5.005714372051994, 5.0088250368870275, 5.008998868771316, 5.009149479175845, 5.009543233769069, 5.009902901255089, 5.012642992448747, 5.012771706463482, 5.013637967054987, 5.013681452577597, 5.01468727998788, 5.017480739915353, 5.017891233224445, 5.020295943254568, 5.02118988779387, 5.021429977333098, 5.021627010067804, 5.0229292390755695, 5.023204036657474, 5.024436917361443, 5.0249048815129465, 5.025397773134158, 5.026162653239326, 5.027554644756189, 5.029692400030502, 5.0308386990062335, 5.032129713559052, 5.032672040814982, 5.033565372052877, 5.03601166783634, 5.03723724827401, 5.037611574126575, 5.039501222037356, 5.039542750092762, 5.040034515679535, 5.041969599642962, 5.042228207255672, 5.042900704871575, 5.044607089331477, 5.044704604042644, 5.044756695394017, 5.045363347543572, 5.046795708632701, 5.051077244318877, 5.0525330724816975, 5.0545418849641806, 5.056013844599519, 5.056901322510357, 5.057511751317954, 5.058447369074305, 5.061049831054827, 5.0612254760759265, 5.062751144330939, 5.064007873035111, 5.065592168193399, 5.066229534252461, 5.06743663504423, 5.069993604647321, 5.070788658319714, 5.071956275541004, 5.075331884059158, 5.0764452776403335, 5.0778349972746915, 5.081582198069356, 5.08235740336344, 5.08315712030952, 5.08391714149803, 5.087376569433902, 5.087647786318049, 5.088600803781482, 5.090375920730989, 5.09099185571015, 5.09468865699205, 5.096399471189309, 5.098593786983886, 5.0994717884835605, 5.101131445015378, 5.102311288056038, 5.102438958385763, 5.103983070668367, 5.104350519149185, 5.106956751917936, 5.109495677830206, 5.112202389921834, 5.112479069708801, 5.114212368731728, 5.115599042564029, 5.118024793014887, 5.120893862441543, 5.12122938707995, 5.122494250851849, 5.124440374991009, 5.126435175121637, 5.1282893414513575, 5.128332814581762, 5.129960841795626, 5.130021585788512, 5.13333505914656, 5.133381405325955, 5.134335150480846, 5.134369955492639, 5.1354790454694035, 5.135991811227626, 5.1366553121321035, 5.136685848179892, 5.138151243942596, 5.138805014629448, 5.139612153774979, 5.139801114512275, 5.142163153726152, 5.143079482890471, 5.144123678290607, 5.144877222641896, 5.145557284179055, 5.145652115532606, 5.1466005038222695, 5.14829382950484, 5.148340419221175, 5.148763131286414, 5.149444821955145, 5.15210837115911, 5.15399078613332, 5.154234786298316, 5.1564131428295426, 5.15732179112316, 5.158831950789103, 5.159181673668393, 5.162594901404019, 5.16443813425034, 5.164924765411952, 5.167352166482618, 5.168512274358905, 5.169484467999309, 5.169660708020034, 5.173242341850317, 5.173876566438302, 5.175762639829923, 5.178607610675486, 5.178662770022632, 5.18126328943076, 5.183380489061783, 5.1834259669848715, 5.183927658873542, 5.185877889157795, 5.186097022718051, 5.187125842155547, 5.18834841973878, 5.190289565051784, 5.191494137014442, 5.193488865722529, 5.194374863052795, 5.1952767174219066, 5.196346186403503, 5.199302020345322, 5.200009596098497, 5.20056103797408, 5.200619839973238, 5.200790012713633, 5.203404403683516, 5.20637533643194, 5.2075689030592525, 5.2076004524483555, 5.2110827859256155, 5.2113643909752465, 5.21162617627351, 5.212889764859132, 5.213560221661207, 5.213871491426468, 5.214264759745025, 5.219558395314481, 5.219711673308999, 5.221516365469446, 5.221979021237677, 5.223998082273146, 5.224424327510455, 5.226546198852181, 5.22763829169813, 5.2291920436224775, 5.230369740083493, 5.230758621497631, 5.2307847059541475, 5.23123199741301, 5.232390090661589, 5.2337766959741, 5.23511643118607, 5.237108278441957, 5.238061596322425, 5.239076927756461, 5.240206532751066, 5.241607440278127, 5.242824035879805, 5.244076441887777, 5.246748189918205, 5.248559077898878, 5.24877511168937, 5.250349450243229, 5.2507308933398065, 5.251545042057915, 5.2534910803313375, 5.25467898759735, 5.255779475107226, 5.256161933605796, 5.2570795636758945, 5.257250033155513, 5.25770199209969, 5.259496511879852, 5.260042878344699, 5.262374936016863, 5.26278260680392, 5.264053602906159, 5.265541859725531, 5.2660742435369325, 5.268468103873894, 5.270257238658069, 5.270443166625832, 5.272689833620025, 5.276272975159777, 5.27705703455389, 5.281238559923561, 5.281603453215389, 5.282557516490974, 5.283829675716887, 5.284987817003386, 5.288678614680802, 5.2894443052632125, 5.291780984267095, 5.291809193504307, 5.295431931919875, 5.298809583797634, 5.300131431326915, 5.303957392992591, 5.3046627570044755, 5.306015954153539, 5.307119723065766, 5.307319110886135, 5.311714857090324, 5.312111113467673, 5.316493218521016, 5.31775561183785, 5.31782878535462, 5.318766307364368, 5.320493541626429, 5.3222489198883896, 5.323637511788397, 5.3236545697002855, 5.324468539961736, 5.327759189347228, 5.328109826059741, 5.332722120356941, 5.3328164333916925, 5.3335572529892135, 5.339637614588307, 5.342347359993349, 5.345756079802415, 5.345846467140974, 5.347790581868649, 5.350472444226246, 5.350835942890958, 5.3584454913742965, 5.3585439316033465, 5.3588237481024485, 5.365761519002787, 5.365836510766822, 5.368222263007143, 5.3682342477095535, 5.3687324361329445, 5.372190546722033, 5.373201682175021, 5.380066309711972, 5.380519229160172, 5.380588924052152, 5.381903275459253, 5.383324941108024, 5.384720832024292, 5.385900118786541, 5.385924667244994, 5.388306083208747, 5.388910664264204, 5.389004889623924, 5.392673251804971, 5.395196562964542, 5.395856849065896, 5.4035094252596805, 5.404293442884371, 5.407854613871814, 5.408252230776796, 5.4103211443358665, 5.413579134271825, 5.414035505781471, 5.416146568948661, 5.417734076999467, 5.418491142559718, 5.4253719930475315, 5.4270782710469705, 5.429851919076654, 5.430691812788022, 5.4336839549412455, 5.435446509241234, 5.446174553906009, 5.448997829249309, 5.449840127643175, 5.450297024744327, 5.451489425922926, 5.452511133920624, 5.460568650816614, 5.464877558192285, 5.472240963611924, 5.481463041010953, 5.48210978895039, 5.488117964400241, 5.491922263962707, 5.493949287120084, 5.49663873930406, 5.497106705865984, 5.498060566540511, 5.498263318704169, 5.503278963950377, 5.509664576740807, 5.51069747806473, 5.5118302515071305, 5.512175569442409, 5.512632236574137, 5.515549468816947, 5.515658475002655, 5.52055711784248, 5.522763356322814, 5.5253640093454885, 5.527355726383223, 5.527474866114898, 5.530950610282416, 5.533121221070966, 5.535802629903964, 5.537935611871663, 5.540533021259593, 5.540762127151366, 5.545146954355647, 5.547284618457505, 5.554740489007168, 5.555831181789523, 5.557288365604732, 5.5590023318677035, 5.564498096244767, 5.565575880043271, 5.56623510267007, 5.5700038004698005, 5.572572311628919, 5.579812033282076, 5.5819653573352195, 5.582091494341559, 5.584660098243963, 5.584877442993971, 5.589450139523046, 5.589827620830238, 5.595437613181804, 5.601141288672037, 5.60761018863147, 5.609898679883132, 5.612852821876581, 5.615474043974289, 5.616775420679868, 5.616841850835368, 5.617646101816394, 5.618925518771912, 5.6240862578278, 5.633358617339672, 5.634664870479291, 5.638071495002122, 5.639356669560446, 5.641260564778275, 5.644592897212719, 5.646378868628523, 5.64803352395402, 5.648819686445649, 5.650166275228917, 5.653509339725979, 5.6537539393289284, 5.654233789895618, 5.655027082660797, 5.657468441870952, 5.6624588594289955, 5.662722568435363, 5.664144645807522, 5.665088931885824, 5.666283146641459, 5.666334056745592, 5.667018797541695, 5.669899428452005, 5.67285230982476, 5.674147823061044, 5.674354823665686, 5.675117703455657, 5.675498145174716, 5.679600286412883, 5.679896208216851, 5.68023287732989, 5.681340601125842, 5.6830881802706354, 5.683832985785418, 5.685714579089057, 5.687696323445797, 5.688382859186276, 5.690978886715828, 5.692793780374656, 5.694233410107269, 5.695095925483342, 5.696950329533406, 5.697227778869118, 5.698285586088371, 5.6990210955071, 5.699283699554308, 5.700663254676614, 5.701371510073209, 5.703610989547856, 5.7052250900175405, 5.705460267716778, 5.709027259962403, 5.709350317610406, 5.709956652924497, 5.710167106022574, 5.711110045976513, 5.712147805255686, 5.712609268342844, 5.716605306009041, 5.717827854848582, 5.7249573131132765, 5.730749099763978, 5.731995057727384, 5.732313047936139, 5.733699728003464, 5.737685131803516, 5.7386276066496436, 5.738850900374949, 5.741309657254794, 5.743389801397213, 5.745909862449086, 5.747267680624021, 5.749965961581252, 5.752124015543952, 5.754671084319094, 5.75553060381799, 5.757786891672087, 5.75797918086541, 5.759835132232452, 5.76131535765332, 5.764563617945937, 5.768226163743805, 5.780294656227419, 5.784206726998048, 5.784644780497659, 5.798602574224618, 5.800030788784854, 5.801496130974204, 5.807810133294545, 5.810093678145134, 5.810835965911027, 5.811028368428236, 5.81493630113115, 5.817413273669122, 5.819225822278978, 5.8256570381229835, 5.827215947443292, 5.8307824240107475, 5.830803244343414, 5.834966370959362, 5.842761823477353, 5.84412822503008, 5.84693545029463, 5.852450862313428, 5.856439212476917, 5.859118639221837, 5.859907465686835, 5.864022844063227, 5.864608219545111, 5.86696431495787, 5.869421197564935, 5.876253783785662, 5.877192081524571, 5.881631707776074, 5.881808485418985, 5.882059324434481, 5.88335843297154, 5.884217083328976, 5.887545585612059, 5.887747757195874, 5.888301804964924, 5.889082115813948, 5.890980172698361, 5.893852036533623, 5.895682768633666, 5.8959519040336135, 5.89742923230127, 5.901144807007505, 5.901632069265291, 5.902550878780216, 5.903508826936715, 5.906505194590764, 5.906877241934783, 5.911761327352225, 5.912706700279365, 5.913010037421595, 5.919495370993677, 5.920400838627592, 5.9212663226407765, 5.924283575397163, 5.924893676676078, 5.9257451223196895, 5.929582657749725, 5.930740459732863, 5.932070367932553, 5.934432263680549, 5.935062995214999, 5.941129536583216, 5.946224065264246, 5.94691370593739, 5.951565886366969, 5.957314506092931, 5.9606429932103415, 5.9646403392663245, 5.965269830575179, 5.967992988544523, 5.97598693584212, 5.978035345779809, 5.980019676429709, 5.980383858528853, 5.982579437386005, 5.9846618593271455, 5.985767818031588, 5.990896252093465, 5.991559428698626, 5.998488634308525, 6.002399636950855, 6.006970506229043, 6.010698213384181, 6.01318642331875, 6.014626925266806, 6.015068543424131, 6.0151810036001825, 6.016680322604422, 6.016946124771995, 6.017950905369515, 6.020633704412676, 6.0239014557491615, 6.025397216037354, 6.028999711942752, 6.030465645406439, 6.032432754895827, 6.033803151075165, 6.036207828999575, 6.036771678287479, 6.0415031120950085, 6.050430696730971, 6.0507578406556854, 6.053415795553591, 6.054721640342074, 6.06423836293037, 6.066197789828961, 6.06740923697123, 6.0682399843317905, 6.0692094790125095, 6.071897797572, 6.074800566478032, 6.0761063908362205, 6.081253079871393, 6.083112913267287, 6.086461639081322, 6.086972965543425, 6.087616227500367, 6.088145016094856, 6.08977958175583, 6.0938371899288795, 6.0951089264828475, 6.095446422833022, 6.100076919993586, 6.101569154722643, 6.104348670462235, 6.104994674239198, 6.105687580098192, 6.110808223113082, 6.11220269932122, 6.114855679808449, 6.11694422001258, 6.118059917322685, 6.119970725446677, 6.120635711692704, 6.121247717219252, 6.122516617177746, 6.127242705952307, 6.128275345267642, 6.130061250036976, 6.132054898611165, 6.133105258849689, 6.134223853628954, 6.136053189519155, 6.136748886905994, 6.136834312492019, 6.13817106498829, 6.143112264644054, 6.143648831496423, 6.145769451366004, 6.146298752004477, 6.150783995062538, 6.155056377760989, 6.156570348788406, 6.1570623754119005, 6.161628104442682, 6.168988788797457, 6.170178236764853, 6.170374879260691, 6.171030953996063, 6.171321478623, 6.172720764597864, 6.173540854725103, 6.174957453529922, 6.187008428226374, 6.187274673894625, 6.187473355971873, 6.190293413182261, 6.191549735340363, 6.193346944713871, 6.193937333366828, 6.19792573669045, 6.198310135850927, 6.198702066862087, 6.20316801824766, 6.2036248907243925, 6.2052633725087185, 6.209053138462301, 6.210688643088992, 6.2121858845866935, 6.21576705748925, 6.216977911392381, 6.219028533832663, 6.221779909545876, 6.222863284998492, 6.22431972463057, 6.2266139473958715, 6.227124297816046, 6.228666083673421, 6.229542433376684, 6.2302037626560915, 6.234876770201364, 6.234891581791836, 6.236964627463123, 6.241145794442102, 6.242676360459807, 6.242769506333043, 6.245094454062292, 6.253682673511028, 6.254273840297871, 6.254776143400893, 6.259148199048095, 6.2594825732347585, 6.261098887629386, 6.263369611041251, 6.270367547400529, 6.271374880507478, 6.27227404865406, 6.277067421867199, 6.282139141279176, 6.2840927505954856, 6.286818859010313, 6.287307632609892, 6.28881131686197, 6.289223809953513, 6.291135808579888, 6.291529138764302, 6.294203061464923, 6.296460777712559, 6.297535753587105, 6.299021193920596, 6.3017329735928405, 6.30372284357097, 6.304163691676549, 6.304278246080428, 6.306026150847005, 6.309721169050351, 6.309813751610546, 6.311194103846147, 6.314119651291511, 6.3145371467018565, 6.316338263391504, 6.3172934978319555, 6.317310386239795, 6.317804032108573, 6.321266452425266, 6.3216058155380175, 6.327063266030959, 6.327190764904782, 6.333999358992351, 6.336175080355729, 6.3475380135150425, 6.365583282683199, 6.369918474424033, 6.375013340100263, 6.378994805686902, 6.381039684473974, 6.3835959362726316, 6.3870722538488245, 6.387788020263326, 6.40845070088281, 6.410083238792106, 6.420204901972891, 6.432059192153416, 6.437347574489196, 6.447380124928344, 6.448749032994849, 6.456054512247262, 6.456826359199908, 6.457704518093253, 6.466700356529004, 6.467034822812265, 6.472107236323937, 6.472981019855224, 6.473620765963207, 6.475038987243335, 6.478159480910155, 6.480207954877684, 6.482665203045286, 6.483102707206027, 6.483552502732423, 6.484459706379673, 6.486470957659436, 6.486577979137817, 6.489568275972963, 6.490771317291579, 6.491008751588819, 6.491478026246155, 6.492903146971887, 6.495602742751456, 6.495651934024534, 6.4979422939312945, 6.49993354619248, 6.500510632781372, 6.502079535005326, 6.502457526926837, 6.502460077211435, 6.504201216471639, 6.5042716411271515, 6.50496719499268, 6.5087619868055455, 6.510491126741296, 6.511110814817882, 6.51241140489756, 6.513147701143591, 6.514241413858214, 6.515853609896649, 6.517667749638699, 6.5188295489058685, 6.519781110775054, 6.521993957717288, 6.522784743925353, 6.524679413783567, 6.528415150508397, 6.528479669056278, 6.530205613431898, 6.530331565407481, 6.530599367931557, 6.531618809787326, 6.532085361294266, 6.533825965770273, 6.539481827995497, 6.542606316728462, 6.544694604177906, 6.54658707645654, 6.552045455076084, 6.553527996697309, 6.5563316609152364, 6.556995179461556, 6.565561294150711, 6.565872043980723, 6.567410988259946, 6.568558594736035, 6.577127932609207, 6.578519035526714, 6.582387491041629, 6.592349958476823, 6.59421013637579, 6.598685756407213, 6.60156605374208, 6.610987659185139, 6.611336103845997, 6.615193797229432, 6.620002998980099, 6.620138155428966, 6.622474489067713, 6.6328488533925265, 6.639457654009967, 6.640067971969268, 6.64036434578889, 6.642359913410379, 6.645029874435161, 6.647671016346043, 6.651927207774964, 6.653633160079677, 6.653680590022314, 6.655006184993922, 6.65956175641122, 6.659811785936959, 6.666104464814911, 6.666339915004126, 6.668175100631991, 6.669196634622151, 6.669844803650323, 6.671238682665983, 6.675786327126455, 6.677964375773625, 6.686053144510983, 6.690327906768862, 6.690659480896713, 6.692598370672556, 6.696249737181827, 6.709827902581173, 6.712484978762726, 6.71441601851026, 6.714586581008574, 6.715623809287816, 6.717541654659672, 6.72221345801506, 6.722568691266885, 6.7364024203327055, 6.738706281687324, 6.739021511541584, 6.740422143563261, 6.743113608091954, 6.745985558803327, 6.7464012277804795, 6.748805843182521, 6.752131020370393, 6.7532938184941305, 6.757869033534067, 6.761628951722132, 6.770490678332947, 6.771413786339917, 6.777534010095262, 6.798052687605751, 6.807614844542583, 6.809359197550359, 6.813119837468169, 6.822015910229606, 6.822407885729286, 6.8250426980861345, 6.827631438964709, 6.828453017330188, 6.835625773843752, 6.837920977449315, 6.83972808098416, 6.84123025945234, 6.84134665321381, 6.843325592368756, 6.8434704340525085, 6.850946890258096, 6.851480085520625, 6.855293053165829, 6.857550227759326, 6.864064368358008, 6.8644252335324385, 6.868749442647896, 6.873117196470918, 6.876414584347252, 6.878656818279467, 6.880791255236754, 6.883142171480568, 6.885697642042443, 6.8878621009475385, 6.89184713237858, 6.8936804579410635, 6.9047681826955865, 6.906284976066033, 6.91004490551196, 6.910719657698125, 6.919771774207084, 6.920449565412813, 6.921047265662872, 6.923858287446318, 6.926673763344158, 6.93062731296984, 6.931344120484485, 6.934101091124447, 6.9457437744650825, 6.947395259545086, 6.947902902810168, 6.950547702147212, 6.9528631347986645, 6.954548296668612, 6.963671185981703, 6.963820423339003, 6.9639283307904885, 6.964659491876682, 6.965353365930518, 6.967584197847248, 6.9700234533586425, 6.972029190870489, 6.974927084323137, 6.977876605837935, 6.981691738977327, 6.982818952089753, 6.9851659761167255, 6.9877389914680625, 6.9883154153004865, 6.992226584971449, 6.99514337127611, 6.995604112808307, 6.998552894528611, 7.0021028412507835, 7.003773106390347, 7.0089298491953675, 7.0098561729358915, 7.011703416447606, 7.012067452206607, 7.014229633025996, 7.01646865557637, 7.020021653367915, 7.0222000354907905, 7.02228179299242, 7.024728327967634, 7.025850566408568, 7.0261715369975155, 7.029479385234946, 7.033225432477645, 7.036100702738393, 7.036315807458616, 7.037596751984413, 7.039291430017514, 7.042110661475466, 7.042969239713722, 7.043332101139193, 7.044292367585139, 7.048754316033002, 7.049145646685957, 7.050981554399516, 7.051174613103867, 7.052715999769385, 7.053229898794682, 7.057350327583338, 7.057843882966193, 7.058035365895991, 7.059569570637543, 7.060313661991612, 7.06043804034799, 7.06156585243141, 7.061598683267273, 7.064154388989328, 7.064179925384648, 7.065202746430032, 7.069420704345299, 7.070858820431402, 7.071536438986011, 7.07293720184966, 7.073722596168754, 7.074456770045457, 7.075231975122822, 7.075263325276506, 7.07704622472943, 7.077781274475359, 7.0789488299664844, 7.079969606208105, 7.0801046762487045, 7.080587190967955, 7.080732887957929, 7.081357221573438, 7.081806934975789, 7.082452367980032, 7.0842512071301895, 7.085007332715756, 7.0858148836216905, 7.085990705661596, 7.088167650988534, 7.088785951136637, 7.0926507890339705, 7.093134876605659, 7.093803387099099, 7.094234529002288, 7.094786672142148, 7.0956651034637055, 7.096591613379226, 7.09764564809894, 7.0978425959938365, 7.0987764827822994, 7.099117946065201, 7.100308197938595, 7.101981222520077, 7.103136886399768, 7.104903619583861, 7.105738919009243, 7.106157940194942, 7.106980238811851, 7.107754281670186, 7.107981334047434, 7.109969381733572, 7.110002356730595, 7.110630911224944, 7.1106860744637475, 7.113330236574654, 7.113442255349368, 7.114460992901181, 7.1155861944566, 7.115802589317258, 7.115840681078191, 7.115877482064915, 7.117155477368469, 7.117536632232669, 7.118346522144675, 7.118464024568578, 7.120428482402482, 7.121908723639184, 7.122466076794277, 7.122741616706176, 7.1239584516940395, 7.125894286997868, 7.126347162405302, 7.128935918226109, 7.129046634513138, 7.132056374875717, 7.133143252866971, 7.133262966388715, 7.133630980889858, 7.135299265378468, 7.135917543738147, 7.1360724217768245, 7.13643762645365, 7.138264456445557, 7.1384890675216885, 7.141225589101758, 7.143120923794485, 7.144195380391299, 7.144302437320825, 7.144416965847897, 7.144497078027502, 7.146215149037636, 7.146571716587141, 7.1470296670197255, 7.147594408162864, 7.149085484362317, 7.1531026548431855, 7.1539082245389425, 7.153989703683987, 7.1541223406543875, 7.157232469612331, 7.15906030595476, 7.1621178646778985, 7.1621637289542175, 7.1638162306228335, 7.1658638859017785, 7.1667909167668995, 7.167580285188424, 7.167626790947922, 7.168054299866668, 7.1690997539182995, 7.16944713971215, 7.170789931764171, 7.172800574635557, 7.172838619464899, 7.173814284745986, 7.174338682279063, 7.175456016392886, 7.176057858036391, 7.177429221367247, 7.178601488671426, 7.178756768700349, 7.180068868329694, 7.180500356425342, 7.180524366924112, 7.181182701534004, 7.1818021096336855, 7.183367064509215, 7.183450016971743, 7.184509665390192, 7.185266294563658, 7.185746905203308, 7.186664191002992, 7.186848283851706, 7.189284736777062, 7.189774078445175, 7.19019246047568, 7.190948244474565, 7.192120379304304, 7.193900819663229, 7.194667833950836, 7.194915606669075, 7.19580007987009, 7.196504424571096, 7.196541160818157, 7.19907528214134, 7.200449321818974, 7.201833280882785, 7.202885814765915, 7.2039838377801475, 7.204491534507451, 7.205507019995133, 7.205948750282769, 7.206561665407948, 7.207118062726755, 7.20765976960208, 7.207930390988235, 7.208116210149927, 7.209268503052979, 7.210825917750414, 7.210952886752688, 7.211845931721396, 7.21192826378501, 7.211993889254878, 7.2126660420600945, 7.212838569794913, 7.212896728066226, 7.213639905332739, 7.215128544269778, 7.215152628554572, 7.2159025053391925, 7.216374323425887, 7.2166263364774546, 7.2170311646782155, 7.217107236207967, 7.2181586244173115, 7.218265083704269, 7.218676198357319, 7.2197896051288, 7.220365889111454, 7.2204108680064145, 7.221482970801389, 7.221752467320834, 7.222840531825282, 7.223307346622364, 7.223411875066597, 7.223542300472535, 7.223731170402068, 7.224149330147558, 7.224434775096782, 7.22626945954381, 7.226774400214845, 7.226983586542151, 7.228171880976626, 7.228247394104351, 7.228597225359961, 7.2294442134810835, 7.229969610543499, 7.231085425908934, 7.231155912062497, 7.23214602520731, 7.232300697694494, 7.233381306745134, 7.233416007619657, 7.234019733153686, 7.2340712591723415, 7.234864866637146, 7.235168160094347, 7.236266109910007, 7.2362846006566715, 7.237239138088148, 7.237356544884003, 7.23782705703767, 7.238474248426012, 7.23925130598438, 7.2403887718972095, 7.24067602009024, 7.240678803375895, 7.24097731335621, 7.241604636999125, 7.242793471362683, 7.242832126988276, 7.244423614049942, 7.24453142360212, 7.245888611932729, 7.24590659874091, 7.246710941109895, 7.247476316992675, 7.248046729099787, 7.24821500533454, 7.248390936341481, 7.248684532928859, 7.249241207384078, 7.249289180236219, 7.2498594030038594, 7.250477666779732, 7.250543509121027, 7.25080816290785, 7.251688799515327, 7.252566581479104, 7.252762822307566, 7.2529361212432315, 7.253100857752344, 7.253620367612752, 7.253943430636757, 7.255077092421416, 7.255269431427637, 7.255592791233697, 7.255969474603342, 7.256669148621943, 7.256746231430587, 7.257850389339149, 7.258301271336327, 7.25880108852405, 7.258973068349542, 7.259115737461311, 7.260285261610721, 7.260325792504066, 7.260864449864221, 7.261072319593104, 7.2611839629780786, 7.261790213186657, 7.263444740666625, 7.263615101608182, 7.264469433077828, 7.26501698775113, 7.2651307666620095, 7.265523657346335, 7.268147489007242, 7.26851197366486, 7.269557156004207, 7.269571243505714, 7.269841198307808, 7.270229139050689, 7.27218153610615, 7.27243792413737, 7.274068431235519, 7.274251854311129, 7.274517136859462, 7.276221939001412, 7.2769852914125766, 7.277006347366141, 7.278534708764227, 7.278838683416955, 7.279002957024263, 7.279373944379701, 7.279768071161311, 7.280467651949837, 7.281949890975515, 7.282762162058376, 7.2830328413129415, 7.28410725861254, 7.285325491345335, 7.287087916571139, 7.287905147798748, 7.287994388702254, 7.288146741808198, 7.2884128840157665, 7.289186262280066, 7.289194532504179, 7.29064267816468, 7.29068179999382, 7.290883707736097, 7.292472143149031, 7.292604831187715, 7.293115150632326, 7.293132478549068, 7.294594605313568, 7.294795683997119, 7.296772092755903, 7.297033818104848, 7.297170253304011, 7.29781621362106, 7.29788702988786, 7.301255137017236, 7.303728762387155, 7.304069671505079, 7.306228239076374, 7.30623443753233, 7.306905875796974, 7.307131596669936, 7.307394900751644, 7.308567032912735, 7.309977477461639, 7.310395740112789, 7.311253801639034, 7.311322374719776, 7.311390935126777, 7.313565900119832, 7.313582198009404, 7.314066738602065, 7.314254905507471, 7.315095640009377, 7.315422280914804, 7.317280326013208, 7.317358360767697, 7.318591133743695, 7.3193500593406196, 7.320824323590488, 7.321188369983135, 7.323296355591969, 7.325334841769445, 7.327074862601749, 7.327575945118563, 7.3276178016256255, 7.33048147524484, 7.330581226948053, 7.330822735914457, 7.331738802353155, 7.332053520346817, 7.332707345197317, 7.33336761486972, 7.333609277719912, 7.334101917151255, 7.335207420470291, 7.33577752346597, 7.336036925368758, 7.336524411007158, 7.337457038839422, 7.340757874846759, 7.340820687955106, 7.341203388158144, 7.342151853138936, 7.342195838255688, 7.343003839413782, 7.343022164867374, 7.344261379842993, 7.346266558758728, 7.346378531743392, 7.3472750114704155, 7.349032485666364, 7.349194640823222, 7.34985633637234, 7.350105798557456, 7.351032292091676, 7.351416942036201, 7.352091586794172, 7.352186912888411, 7.3532566133110295, 7.355151000828982, 7.3557763738870205, 7.356361076540034, 7.356699752575715, 7.356992641717694, 7.358743202927632, 7.359568796014908, 7.359799774023779, 7.363164986640713, 7.364425714726675, 7.365116500237273, 7.367332955437548, 7.3675436510956, 7.367938495174245, 7.368844368416623, 7.372192291534185, 7.375603377706696, 7.379047074938373, 7.379355344233418, 7.381366504455614, 7.384126308907673, 7.38647511989839, 7.388647727213883, 7.389346492758544, 7.3918734569451, 7.396854435311022, 7.398627926764355, 7.400758469666248, 7.402009092901589, 7.402645908461828, 7.404822311258295]