math-test-functions 0.5.2

{"data":[{"type":"contour","x":[-2.0,-1.9595959595959596,-1.9191919191919191,-1.878787878787879,-1.8383838383838385,-1.797979797979798,-1.7575757575757576,-1.7171717171717171,-1.6767676767676767,-1.6363636363636362,-1.595959595959596,-1.5555555555555556,-1.5151515151515151,-1.4747474747474747,-1.4343434343434343,-1.393939393939394,-1.3535353535353534,-1.3131313131313131,-1.2727272727272727,-1.2323232323232323,-1.191919191919192,-1.1515151515151514,-1.1111111111111112,-1.0707070707070707,-1.0303030303030303,-0.9898989898989898,-0.9494949494949494,-0.9090909090909092,-0.8686868686868687,-0.8282828282828283,-0.7878787878787878,-0.7474747474747474,-0.707070707070707,-0.6666666666666667,-0.6262626262626263,-0.5858585858585859,-0.5454545454545454,-0.505050505050505,-0.46464646464646475,-0.4242424242424243,-0.38383838383838387,-0.3434343434343434,-0.303030303030303,-0.26262626262626254,-0.22222222222222232,-0.18181818181818188,-0.14141414141414144,-0.101010101010101,-0.06060606060606055,-0.02020202020202011,0.020202020202020332,0.06060606060606055,0.10101010101010122,0.14141414141414144,0.18181818181818166,0.22222222222222232,0.26262626262626254,0.3030303030303032,0.3434343434343434,0.38383838383838365,0.4242424242424243,0.46464646464646453,0.5050505050505052,0.5454545454545454,0.5858585858585861,0.6262626262626263,0.6666666666666665,0.7070707070707072,0.7474747474747474,0.7878787878787881,0.8282828282828283,0.8686868686868685,0.9090909090909092,0.9494949494949494,0.9898989898989901,1.0303030303030303,1.0707070707070705,1.1111111111111112,1.1515151515151514,1.191919191919192,1.2323232323232323,1.272727272727273,1.3131313131313131,1.3535353535353534,1.393939393939394,1.4343434343434343,1.474747474747475,1.5151515151515151,1.5555555555555554,1.595959595959596,1.6363636363636362,1.676767676767677,1.7171717171717171,1.7575757575757578,1.797979797979798,1.8383838383838382,1.878787878787879,1.9191919191919191,1.9595959595959598,2.0],"y":[-2.0,-1.9595959595959596,-1.9191919191919191,-1.878787878787879,-1.8383838383838385,-1.797979797979798,-1.7575757575757576,-1.7171717171717171,-1.6767676767676767,-1.6363636363636362,-1.595959595959596,-1.5555555555555556,-1.5151515151515151,-1.4747474747474747,-1.4343434343434343,-1.393939393939394,-1.3535353535353534,-1.3131313131313131,-1.2727272727272727,-1.2323232323232323,-1.191919191919192,-1.1515151515151514,-1.1111111111111112,-1.0707070707070707,-1.0303030303030303,-0.9898989898989898,-0.9494949494949494,-0.9090909090909092,-0.8686868686868687,-0.8282828282828283,-0.7878787878787878,-0.7474747474747474,-0.707070707070707,-0.6666666666666667,-0.6262626262626263,-0.5858585858585859,-0.5454545454545454,-0.505050505050505,-0.46464646464646475,-0.4242424242424243,-0.38383838383838387,-0.3434343434343434,-0.303030303030303,-0.26262626262626254,-0.22222222222222232,-0.18181818181818188,-0.14141414141414144,-0.101010101010101,-0.06060606060606055,-0.02020202020202011,0.020202020202020332,0.06060606060606055,0.10101010101010122,0.14141414141414144,0.18181818181818166,0.22222222222222232,0.26262626262626254,0.3030303030303032,0.3434343434343434,0.38383838383838365,0.4242424242424243,0.46464646464646453,0.5050505050505052,0.5454545454545454,0.5858585858585861,0.6262626262626263,0.6666666666666665,0.7070707070707072,0.7474747474747474,0.7878787878787881,0.8282828282828283,0.8686868686868685,0.9090909090909092,0.9494949494949494,0.9898989898989901,1.0303030303030303,1.0707070707070705,1.1111111111111112,1.1515151515151514,1.191919191919192,1.2323232323232323,1.272727272727273,1.3131313131313131,1.3535353535353534,1.393939393939394,1.4343434343434343,1.474747474747475,1.5151515151515151,1.5555555555555554,1.595959595959596,1.6363636363636362,1.676767676767677,1.7171717171717171,1.7575757575757578,1.797979797979798,1.8383838383838382,1.878787878787879,1.9191919191919191,1.9595959595959598,2.0],"z":[[2.949489742783178,2.896818673773338,2.845195229128146,2.794629045380514,2.7451302244244657,2.696709355599573,2.649377538381439,2.603146405601325,2.5580281470967936,2.5140355336706364,2.4711819412072185,2.4294813747632165,2.388948492413342,2.3495986285907358,2.3114478166160017,2.27451281005838,2.238811102517082,2.204360945350724,2.171181362818346,2.139292164027413,2.108713951013401,2.0794681222035836,2.0515768704462696,2.0250631747184955,1.9999507845631503,1.9762641962544425,1.9540286196530174,1.9332699346940183,1.9140146364587751,1.8962897678198913,1.8801228387268014,1.8655417313209206,1.8525745902423736,1.841249697718921,1.8315953333155597,1.8236396185713184,1.8174103471558987,1.8129348016371192,1.8102395584502262,1.8093502831869035,1.8102915188552577,1.81308647027772,1.817756788263717,1.8243223575879441,1.8328010930929153,1.8432087483879285,1.8555587416124872,1.8698620025543955,1.886126845054839,1.9043588680993826,1.9245608883014027,1.9467329056608995,1.9708721035644967,1.9969728830266287,2.02502693020611,2.055023315315138,2.0869486202142067,2.12078709129402,2.1565208137120635,2.194129902693641,2.233592707429328,2.2748860230966907,2.3179853066876244,2.3628648926104443,2.4094982044299043,2.457857959578186,2.5079163643855877,2.5596452973130814,2.613016478795668,2.6680016266055895,2.7245725961027194,2.782701505145643,2.8423608437849275,2.903523569147967,2.966163186153432,3.030253814866181,3.095770245425566,3.1626879815573803,3.230983273718735,3.3006331429325932,3.371615396350645,3.443908635545619,3.517492258482037,3.592346456052436,3.6684522039977736,3.745791250959436,3.824346103338211,3.9041000075648578,3.9850369303187714,4.0671415371668145,4.150399170034272,4.234795823864471,4.320318122773042,4.406953295957196,4.494689153579372,4.5835140628083035,4.673416924168393,4.764387148320066,4.856414633369298,4.949489742783178],[2.896818673773338,2.8436941101503113,2.7916077214456116,2.7405690203311566,2.6905879985947503,2.6416751516093893,2.59384150367286,2.547098634161626,2.501458704421827,2.4569344852952897,2.413539385149369,2.37128747824564,2.3301935332435457,2.2902730415905115,2.251542245499442,2.214018165157433,2.1777186247457614,2.1426622767806363,2.108868624206898,2.0763580395932064,2.0451517806880863,2.0152720015026477,1.986741757989808,1.959585007293788,1.9338265994509973,1.9094922603383502,1.8866085645928328,1.8652028971731487,1.8453034022078485,1.8269389177828663,1.8101388953739255,1.7949333027354175,1.7813525092264464,1.769427152795527,1.7591879881649006,1.750665716157954,1.743890794599411,1.7388932317832784,1.735702364137599,1.734346620400366,1.7348532753328152,1.7372481967027205,1.741555589933242,1.7477977453896612,1.7559947937227829,1.7661644749614096,1.778321927110249,1.792479499837003,1.8086465984097475,1.8268295623759183,1.8470315825779384,1.869252659015808,1.8934896008471043,1.9197360685243905,1.9479826567795913,1.978217015945005,2.010424008015924,2.0445858929635454,2.0806825401370634,2.118691659171199,2.1585890446427904,2.200348828784063,2.243943736833784,2.2893453400539565,2.33652430201654,2.3854506144275267,2.4360938194621937,2.4884232162971536,2.542408050210165,2.598017683252714,2.6552217460656946,2.7139902708947172,2.774293806264058,2.836103514087782,2.8993912502373402,2.9641296297540274,3.0302920780008584,3.0978528691009193,3.166787153017799,3.2370709726072784,3.3086812719164387,3.3815958969341704,3.4557935899119494,3.5312539782811148,3.6079575590968274,3.685885679842876,3.7650205163379864,3.8453450483950613,3.926843033801196,4.009498981108965,4.0932981216589255,4.1782263811895035,4.264270351333343,4.351417261248618,4.439654949589188,4.528971836978588,4.619356899119035,4.71079964063753,4.8032900697462715,4.896818673773338],[2.845195229128146,2.7916077214456116,2.739048190890677,2.687525980062159,2.637050922259373,2.587633368364586,2.539284214891319,2.4920149331697568,2.4458375996203534,2.4007649270424056,2.356810296815376,2.313987791876346,2.272312230296532,2.231799199232614,2.192465088973896,2.154327126743487,2.117403409839981,2.08171293762513,2.0472756417723286,2.0141124140904028,1.9822451311274194,1.951696674640971,1.922490946896056,1.8946528796215962,1.8682084353251946,1.8431845995374503,1.8196093624379324,1.7975116882123046,1.7769214704131524,1.7578694715566043,1.7403872451951377,1.7245070387775259,1.7102616757539129,1.69768441562149,1.6868087909470129,1.677668420856471,1.6702968010552495,1.664727071133573,1.6609917607130211,1.6591225168818733,1.6591498163202343,1.6611026664891893,1.6650083011997985,1.6708918767272067,1.678776175327297,1.6886813234830655,1.7006245323966,1.714619868104457,1.7306780581030554,1.7488063405244003,1.7690083607264204,1.791284118709116,1.8156299691145579,1.8420386738107415,1.8704995053012474,1.9009983975495193,1.9335181393534693,1.9680386042301017,2.0045370099235327,2.042988200158618,2.0833649411242976,2.125638225359486,2.169777576184078,2.215751346509795,2.263527006715057,2.313071417209639,2.364351082288157,2.417332382824621,2.4719817862522735,2.5282660330739253,2.5861522998394326,2.6456083391000207,2.7066025973032137,2.7691043119328818,2.8330835894364403,2.898511465628225,2.965359950328666,3.033602058007167,3.103211826156122,3.1741643230466114,3.2464356464136355,3.320002914499602,3.394844250756443,3.470938763375335,3.5482665206828807,3.6268085233173304,3.7065466739800894,3.787463745448047,3.8695433474319008,3.952769892774972,4.037128563406042,4.122605276388031,4.209186650341474,4.296859972467076,4.385613166344384,4.475434760643211,4.566313858850037,4.6582401100825965,4.751203681041572,4.845195229128146],[2.794629045380514,2.7405690203311566,2.687525980062159,2.6355090449092966,2.5845278346868144,2.5345924979567878,2.4857137427893687,2.4379028690196,2.3911718019884614,2.3455331277334244,2.301000129566269,2.257586825942404,2.2153080094856294,2.174179286984002,2.134217120115377,2.0954388665940105,2.0578628213513555,2.0215082572737533,1.986395464916175,1.9525457904938126,1.9199816713217526,1.888726667727297,1.8588054903005515,1.830244021178373,1.803069327877624,1.7773096680102844,1.75299448303161,1.730154379001506,1.7088210921894669,1.689027437238105,1.670807235535627,1.654195221452066,1.6392269241883124,1.6259385231926458,1.61436667543813,1.6045483133452483,1.5965204127923789,1.5903197314895563,1.5859825189951309,1.5835442008134377,1.5830390402908439,1.5844997833759256,1.587957292657251,1.593440178353493,1.6009744350084176,1.6105830934367253,1.6222858978807975,1.636099018294588,1.6520348071187958,1.6701016088374074,1.6903036290394278,1.7126408677248564,1.737109119304689,1.763700039294939,1.792401275254907,1.82319665723064,1.8560664409797556,1.890987595687554,1.927934126810269,1.9668774241292275,2.007786625055862,2.0506289836415954,2.0953702365400613,2.1419749582469243,2.1904068992038344,2.240629301700756,2.2926051898593123,2.34629763125902,2.4016699689268135,2.458686023414415,2.5173102655209334,2.5775079608763347,2.639245288092415,2.7024894325265594,2.7672086579092747,2.8333723581806542,2.9009510918854433,2.9699166014116627,3.040241819242448,3.111900863240945,3.184869022817045,3.259122737643448,3.3346395704050664,3.411398174886709,3.4893782605334045,3.568560554458811,3.648926761731477,3.730459524637144,3.813142381497959,3.896959725525865,3.981896764097061,4.067939478756138,4.155074586191317,4.243289500365128,4.332572295936586,4.422911673070652,4.5142969236971755,4.606717899254078,4.700164979927116,4.794629045380514],[2.7451302244244657,2.6905879985947503,2.637050922259373,2.5845278346868144,2.5330280798412663,2.4825615379397608,2.4331386588505173,2.38477049738035,2.337468750484568,2.291245796413981,2.2461147357894413,2.202089434563882,2.159184568793793,2.1174156710953085,2.0767991786030837,2.037352482181352,1.999093976554292,1.9620431109253993,1.926220439541131,1.8916476715211181,1.8583477191241546,1.8263447434450693,1.7956641963419764,1.7663328571768058,1.7383788627163046,1.7118317282893591,1.686722358035307,1.663083041815469,1.640947436108309,1.6203505259832316,1.6013285650690794,1.5839189903254924,1.5681603084171196,1.5540919506146578,1.5417540934371567,1.5311874427411745,1.5224329796847833,1.5155316679708468,1.5105241230141022,1.5074502451714191,1.5063488208911457,1.5072570975141626,1.5102103394040804,1.5152413749755056,1.5223801458821797,1.5316532709625306,1.5430836383618658,1.556690039421428,1.5724868573479256,1.5904838223134594,1.6106858425154795,1.6330929179539861,1.6577001404315292,1.6844977797760072,1.7134714527807124,1.744602368104402,1.7778676376017684,1.8132406424343839,1.850691440948506,1.8901872047295294,1.9316926694138434,1.975170587660567,2.0205821730213525,2.0678875251393287,2.117046028599761,2.168016719699783,2.220758617281324,2.275231015487827,2.33139373780024,2.3892073529478677,2.44863335426606,2.5096343047951777,2.572173950906378,2.6362173075302566,2.701730718188349,2.768681893019335,2.8370399278838763,2.9067753074530875,2.9778598949602206,3.0502669110433467,3.1239709038443504,3.198947712268404,3.275174424056712,3.3526293300896457,3.431291876120746,3.511142612946518,3.5921631458427834,3.6743360839453088,3.757644990119438,3.8420743317490373,3.9276094327776176,4.0142364272522455,4.101942214552067,4.190714416426275,4.280541335919558,4.371411918225104,4.463315713474693,4.556242841451292,4.650183958190711,4.745130224424466],[2.696709355599573,2.6416751516093893,2.587633368364586,2.5345924979567878,2.4825615379397608,2.4315500249794093,2.3815680707131244,2.3326263999164025,2.2847363910656426,2.2379101193728097,2.1921604023492645,2.147500847931231,2.1039459051668796,2.06151091742311,2.020212178017097,1.9800669881113784,1.9410937166294013,1.9033118618484464,1.8667421142059484,1.8314064197105693,1.7973280431780092,1.7645316303108196,1.7330432674090452,1.7028905372328238,1.6741025692388185,1.6467100820809466,1.6207454159062888,1.596242551596652,1.5732371137166536,1.551766353547459,1.531869108234869,1.5135857317920358,1.496957993509115,1.482028939280743,1.468842711519919,1.4574443237403512,1.4478793866151851,1.4401937834088927,1.4344332941674245,1.4306431699524298,1.4288676606972974,1.4291495028809655,1.4315293760438486,1.4360453400393822,1.4427322676066003,1.4516212891111953,1.462739267870777,1.4761083251108,1.4917454331029334,1.509662093320167,1.529864113522187,1.552351493708994,1.577118426120901,1.6041534092849183,1.633439470929377,1.6649544898288227,1.6986716026656448,1.734559679074152,1.772583846315309,1.812706044535681,1.854885594194854,1.899079758813889,1.9452442884593981,1.9933339320697305,2.0433029095989377,2.0951053377825453,2.148695605947409,2.2040287005798223,2.261060479266783,2.319747896113657,2.3800491818302874,2.441923982403522,2.5053334606875612,2.5702403654012382,2.6366090719799367,2.7044055995418486,2.7735976079398945,2.844154378520156,2.9160467818259708,2.989247235097201,3.0637296520338015,3.1394693869332215,3.2164431749797595,3.2946290701647545,3.3740063820507724,3.454555612360531,3.536258392170585,3.619097420318395,3.7030564034867863,3.7881199983088605,3.874273755736446,3.9615040678333195,4.04979811708812,4.139143828288882,4.229529822959207,4.320945376323598,4.413380376744667,4.506825287556505,4.6012711112053495,4.696709355599573],[2.649377538381439,2.59384150367286,2.539284214891319,2.4857137427893687,2.4331386588505173,2.3815680707131244,2.33101166017749,2.2814797239516427,2.2329832172897803,2.1855338006721583,2.1391438896654265,2.093826708086785,2.04959634457226,2.0064678126170836,1.9644571141124345,1.9235813063450327,1.883858572351323,1.8453082944227484,1.807951130438967,1.771809092557485,1.7369056276062438,1.7032656983052956,1.6709158641796775,1.6398843607133538,1.610201174929566,1.5818981151637017,1.5550088723208568,1.529569069385068,1.5056162953794443,1.4831901193816168,1.4623320796013162,1.4430856419617837,1.425496122142001,1.4096105646945531,1.3954775727306248,1.3831470818483336,1.3726700725710557,1.3640982166574451,1.3574834543328813,1.3528775018357329,1.350331291688792,1.349894351749163,1.351614133227468,1.3555353022720076,1.361699014060683,1.370142192226449,1.3808968394072916,1.393989406312434,1.4094402465597635,1.427263182436389,1.4474652026384094,1.470046307165824,1.494999507322535,1.522310980821433,1.5519603740446308,1.5839212362829054,1.6181615648982701,1.6546444362577715,1.6933286951835067,1.7341696755271756,1.777119926078157,1.822129918979346,1.8691487217079503,1.9181246180256009,1.9690056677069196,2.0217401989932515,2.0762772313612192,2.132566829212708,2.1905603894365315,2.2502108674801047,2.311472947664445,2.374303164066313,2.4386599784759775,2.504503821815806,2.571797105062692,2.640504205232596,2.7105914314204242,2.7820269752907887,2.854780849820447,2.928824819525436,3.0041323248807172,3.0806784031662406,3.1584396075540617,3.2373939258866766,3.317520700284427,3.3988005484558688,3.4812152873645585,3.5647478597237754,3.6493822636423396,3.7351034856250225,3.821897437035795,3.9097508940574572,3.99865144112336,4.0885874177532475,4.179547868692922,4.271522497234355,4.364501621577247,4.458476134083238,4.5534374632688195,4.649377538381438],[2.603146405601325,2.547098634161626,2.4920149331697568,2.4379028690196,2.38477049738035,2.3326263999164025,2.2814797239516427,2.231340225297421,2.182218314471583,2.1341251065414664,2.0870724748260034,2.041073108689612,1.996140575651863,1.9522893880200791,1.9095350742245467,1.867894254995089,1.8273847244596158,1.7880255361658008,1.7498370939209977,1.7128412472070251,1.6770613907485235,1.6425225675885107,1.6092515747438125,1.5772770701671166,1.546629679322072,1.5173420991742539,1.4894491968066998,1.4629880991795965,1.4379982697703375,1.4145215669607456,1.39260227810191,1.372287122217779,1.3536252133593436,1.33666797576833,1.321469001355966,1.3080838396803625,1.2965697107737606,1.286985132006519,1.279389451861888,1.2738422862005603,1.2704028564332122,1.2691292340197973,1.2700775017707293,1.2733008492610085,1.2788486268145935,1.2867653893172808,1.2970899667761795,1.3098546022171766,1.3250841984325512,1.3427957127205543,1.3629977329225744,1.3856902590386118,1.4108647032272779,1.438504108190321,1.4685835711354627,1.5010708490368159,1.535927111887271,1.5731078048010327,1.6125635774541407,1.654241240271596,1.6980847104429846,1.7440359165083525,1.7920356370570245,1.842024256228306,1.8939424255389485,1.9477316276185923,2.0033346424349965,2.0606959204300503,2.1197618696925264,2.1804810659806986,2.242804395243574,2.3066851384572056,2.3720790082705054,2.4389441463016492,2.507241089073244,2.576932709625102,2.647984140874187,2.7203626858549237,2.7940377191036623,2.8689805826677155,2.9451644795302574,3.022564366648271,3.101156849297114,3.180920077994969,3.2618336489344832,3.3438785085679807,3.427036862767554,3.5112920908033782,3.5966286642451664,3.6830320707855995,3.770488742905102,3.8589859912392606,3.948511942469138,4.0390554815274005,4.130606197896201,4.223154335764187,4.316690747807479,4.411206852361676,4.506694593757587,4.603146405601326],[2.5580281470967936,2.501458704421827,2.4458375996203534,2.3911718019884614,2.337468750484568,2.2847363910656426,2.2329832172897803,2.182218314471583,2.1324514076964616,2.0836929140191227,2.0359539991891658,1.9892466392619004,1.943583687463821,1.8989789466877274,1.8554472479899733,1.813004535448674,1.7716679577130676,1.73145596652579,1.6923884224255494,1.6544867077302348,1.6177738467507592,1.5822746329832493,1.5480157627587359,1.5150259744804977,1.4833361921331265,1.4529796711859753,1.4239921443181354,1.396411963544319,1.3702802343057061,1.3456409358980006,1.3225410212422726,1.3010304874816816,1.28116240725249,1.2629929088090894,1.2465810916024789,1.2319888625963027,1.2192806777911298,1.2085231734137367,1.1997846723607042,1.1931345541332956,1.1886424810050555,1.1863774797673792,1.1864068871532096,1.1887951777058385,1.1936027048222233,1.200884397923177,1.2106884697691616,1.2230551961931524,1.2380158343142813,1.255591743319358,1.2757937635213783,1.2986218949203419,1.3240652972032536,1.352102611183303,1.3827025797413588,1.4158249270444456,1.451421440332101,1.489437190183513,1.5298118232017224,1.5724808648434392,1.6173769783757201,1.6644311370071687,1.7135736784642424,1.7647352232456752,1.8178474484548892,1.872843717865105,1.9296595754757555,1.9882331143231973,2.048505234956429,2.110419809121061,2.173923764180829,2.2389671029925746,2.3055028726352282,2.373487093813085,2.4428786610849653,2.5136392224361566,2.585733045187568,2.6591268738698473,2.7337897844984007,2.809693038669951,2.886809940053467,2.9651156951528224,3.044587279657103,3.125203311248421,3.2069439293880677,3.2897906823334075,3.3737264214352027,3.4587352026153364,3.544802194817456,3.6319135951487618,3.7200565503827594,3.8092190844641385,3.8993900316433003,3.9905589748655386,4.08271618904544,4.175852588868406,4.26995968077634,4.365029518812273,4.461054664017787,4.558028147096794],[2.5140355336706364,2.4569344852952897,2.4007649270424056,2.3455331277334244,2.291245796413981,2.2379101193728097,2.1855338006721583,2.1341251065414664,2.0836929140191227,2.034246764262055,1.9857969209792112,1.9383544344821295,1.8919312118827332,1.846540094003928,1.8021949396006074,1.7589107175146803,1.7167036074042235,1.6755911096891523,1.6355921653377168,1.5967272860717177,1.5590186954831977,1.5224904814184748,1.487168759780233,1.453081849604556,1.4202604588625067,1.3887378798853272,1.3585501925841745,1.329736472690516,1.3023390010402527,1.2764034684216885,1.251979168668107,1.2291191704766704,1.2078804558780485,1.1883240104082673,1.1705148469504292,1.154521942111376,1.1404180611834902,1.1282794456593004,1.1181853365106695,1.1102173077463582,1.104458388935932,1.1009919632216616,1.0999004394165177,1.1012637132484326,1.1051574530966728,1.1116512681855593,1.1208068396503923,1.1326761138111299,1.1472996686352905,1.1647053653695307,1.1849073855715508,1.207905729241351,1.2336862148212309,1.2622209810645337,1.2934694500037411,1.3273796753188951,1.3638899758746952,1.4029307424468214,1.444426306656005,1.4882967727743157,1.5344597319887825,1.5828318011571345,1.6333299507098058,1.6858726066380356,1.7403805279699622,1.7967774732130555,1.8549906770749336,1.9149511629487557,1.9765939179514178,2.039857956546895,2.104686296704517,2.1710258697271207,2.2388273817814253,2.308045142079124,2.3786368697843177,2.4505634891655372,2.5237889203116266,2.598279870891344,2.674005632933626,2.7509378874023898,2.8290505183949497,2.9083194380649897,2.9887224228204654,3.0702389609395766,3.1528501114540743,3.2365383739440414,3.321287568751403,3.4070827270342483,3.493909990037685,3.5817565169388073,3.6706104006256917,3.7604605907868,3.8512968237131835,3.9431095582479165,4.035889917352607,4.129629634797819,4.224321006521303,4.319956846234325,4.41653044489125,4.514035533670636],[2.4711819412072185,2.413539385149369,2.356810296815376,2.301000129566269,2.2461147357894413,2.1921604023492645,2.1391438896654265,2.0870724748260034,2.0359539991891658,1.9857969209792112,1.9366103734394442,1.8884042291664092,1.8411891713170012,1.7949767724516401,1.7497795818522077,1.705611222231448,1.6624864968287834,1.6204215079627573,1.5794337881777232,1.5395424451751503,1.5007683217484116,1.4631341719311064,1.426664854505127,1.3913875448721338,1.357331966039918,1.324530639072964,1.2930191527532828,1.2628364513292731,1.2340251380191802,1.2066317902898638,1.1807072807474361,1.156307094644507,1.1334916314260002,1.112326473325215,1.0928825987672992,1.0752365123293686,1.059470256509036,1.0456712640826151,1.033932004245982,1.0243493722885924,1.0170237729438387,1.0120578538116523,1.0095548594613795,1.0096166006840845,1.012341067445327,1.0178197570163765,1.0261348365031995,1.0373563046518868,1.0515393523050576,1.068722134724796,1.0889241549268163,1.1121454129111181,1.138366405661988,1.167548977917341,1.1996379388345582,1.2345632896675494,1.272242863310347,1.3125851624916824,1.3554921972459957,1.4008621567822224,1.4485917965310167,1.4985784688924466,1.5507217691331203,1.6049248019635813,1.6610950981879549,1.7191452250299255,1.7789931399918815,1.8405623384967074,1.9037818421192545,1.9685860686262242,2.0349146185726923,2.1027120067060485,2.1719273604201823,2.242514102248232,2.314429628971954,2.387634996342948,2.462094615579204,2.5377759656162384,2.614649323446258,2.692687513667604,2.7718656774983828,2.8521610609049963,2.9335528210940707,3.0160218503641367,3.099550616170842,3.1841230161956418,3.2697242471991155,3.356340686468516,3.4439597847219643,3.53256996939904,3.6221605573428475,3.7127216759568435,3.8042441919977206,3.8967196472411842,3.990140200329062,4.0844985741732796,4.179788008354148,4.276002216007296,4.37313534474533,4.4711819412072185],[2.4294813747632165,2.37128747824564,2.313987791876346,2.257586825942404,2.202089434563882,2.147500847931231,2.093826708086785,2.041073108689612,1.9892466392619004,1.9383544344821295,1.8884042291664092,1.8394044196657766,1.7913641325049006,1.7442933011977475,1.6982027522993466,1.6531043018906397,1.609010863846003,1.5659365714002278,1.5238969137123797,1.482908889315391,1.4429911785375347,1.4041643371769488,1.366451013890272,1.3298761939016661,1.2944674717205245,1.260255355533583,1.2272736057518243,1.1955596097636598,1.165154794163509,1.1361050744424868,1.1084613401545682,1.0822799706659845,1.0576233724643398,1.0345605233094668,1.0131675008951158,0.9935279638419416,0.9757335405812483,0.9598840671455561,0.9460875987374515,0.9344601037552056,0.9251247354930984,0.9182105702990601,0.9138507073739203,0.9121796513934616,0.9133299509471705,0.9174281465339048,0.9245901882072506,0.934916602120041,0.9484877940749862,0.9653599467427041,0.9855619669447243,1.0090938546810468,1.035926703130142,1.066004329621392,1.0992463283520866,1.1355521731693927,1.174805914019724,1.2168810104042234,1.2616449137334036,1.3089631193314821,1.35870252799763,1.410734063383916,1.4649345721960612,1.5211880860357938,1.579386549700528,1.639430127157742,1.701227189976133,1.764694079535047,1.8297547181407317,1.8963401280333563,1.9643879027253153,2.033841662850377,2.104650518854569,2.176768555246774,2.250154345432573,2.3247705020235547,2.4005832646087364,2.4775621250013833,2.5556794886921,2.6349103704567267,2.7152321216386235,2.796624186439653,2.879067884531541,2.9625462173813566,3.047043695830034,3.132546186642781,3.2190407759452224,3.3065156476564157,3.3949599752213313,3.484363825126005,3.5747180708457655,3.666014316029578,3.758244825861329,3.851402465662543,3.945480645911029,4.040473272947721,4.136374704730283,4.233179711068265,4.330883437841601,4.429481374763217],[2.388948492413342,2.3301935332435457,2.272312230296532,2.2153080094856294,2.159184568793793,2.1039459051668796,2.04959634457226,1.996140575651863,1.943583687463821,1.8919312118827332,1.8411891713170012,1.7913641325049006,1.7424632672715628,1.6944944212698159,1.6474661918922329,1.6013880167336672,1.556270274207348,1.5121243981781438,1.4689630087790073,1.4268000619264094,1.3856510204527628,1.3455330502330078,1.3064652452010437,1.2684688857286808,1.2315677354682382,1.1957883824228714,1.161160630673638,1.127717949802207,1.0954979895094525,1.064543167095059,1.0349013351051117,1.0066265352356707,0.9797798420095405,0.9544302951277996,0.9306559117909281,0.9085447584512779,0.8881960438853653,0.8697211704868757,0.8532446467678592,0.8389047205371063,0.8268535404322094,0.8172565985484861,0.8102911600346612,0.8061433660181113,0.805003731662615,0.8070608830468394,0.8124936086244932,0.8214616399870941,0.8340959713625684,0.850489871039448,0.8706918912414682,0.894702031968629,0.9224717409971952,0.9539077500386346,0.9888790648650212,1.0272259538848374,1.068769628644374,1.1133214630649646,1.1606909419828295,1.2106919242705931,1.2631471447795306,1.317891111414324,1.374771675537381,1.4336505893399107,1.4944033443098643,1.5569185380535544,1.621096961794466,1.6868505490802477,1.754101282710418,1.8227801229838998,1.8928259953778872,1.964184858196321,2.0368088588931164,2.1106555801685873,2.185687372321862,2.2618707657712687,2.339175956435751,2.417576356312155,2.497048201748159,2.577570212371955,2.6591232942496417,2.7416902815062807,2.825255711309457,2.9098056277427014,2.9953274106730614,3.081809626235667,3.169241896017291,3.2576147824230777,3.3469196880604564,3.4371487672765975,3.5282948482463694,3.6203513642314986,3.71331229282358,3.807172102148018,3.901925703146678,3.9975684071776314,4.094095888273508,4.191504149488451,4.289789492839506,4.388948492413342],[2.3495986285907358,2.2902730415905115,2.231799199232614,2.174179286984002,2.1174156710953085,2.06151091742311,2.0064678126170836,1.9522893880200791,1.8989789466877274,1.846540094003928,1.7949767724516401,1.7442933011977475,1.6944944212698159,1.645585347245629,1.5975718265487389,1.550460207651458,1.5042575187387968,1.4589715586928191,1.4146110026290382,1.371185524670114,1.3287059411959206,1.2871843784861157,1.2466344694997198,1.2070715855498042,1.16851310987061,1.1309787615862021,1.0944909804271195,1.0590753847603267,1.024761318151218,0.9915825028020218,0.9595778218075204,0.9287922561552115,0.8992780065394955,0.8710958338526532,0.8443166546850175,0.8190234275607252,0.7953133589569212,0.7733004405038795,0.7531182925129332,0.7349232229694468,0.7188973004813732,0.7052510675898003,0.6942252750067368,0.6860907048654024,0.6811448255497904,0.6797038182590656,0.6820886776773399,0.6886049187767856,0.6995171034938963,0.715021690813225,0.7352237110152453,0.7601231640999568,0.7896150197868868,0.8235028190914814,0.8615220000772472,0.9033670477720127,0.9487169674916649,0.9972555780370405,1.0486854110241437,1.1027356843197569,1.159165647211871,1.2177647571593977,1.278350945554385,1.3407679044114666,1.4048820134193116,1.470579280947644,1.5377625005193194,1.6063487136102026,1.6762670036299592,1.7474566096863087,1.8198653310848498,1.8934481868380864,1.9681662938512359,2.0439859299220684,2.1208777514851924,2.1988161401736406,2.2777786562568747,2.357745580610831,2.438699530001267,2.5206251331151126,2.603508756993346,2.687338275356311,2.7721028718241323,2.85779287227415,2.944399601590852,3.0319152608921733,3.120332821993104,3.209645936421331,3.299848856753303,3.390936368411236,3.482903730367564,3.5757466234554047,3.6694611051917962,3.7640435701928423,3.8594907154029077,3.955799509479146,4.05296716577188,4.150991118424534,4.249869001186472,4.349598628590735],[2.3114478166160017,2.251542245499442,2.192465088973896,2.134217120115377,2.0767991786030837,2.020212178017097,1.9644571141124345,1.9095350742245467,1.8554472479899733,1.8021949396006074,1.7497795818522077,1.6982027522993466,1.6474661918922329,1.5975718265487389,1.5485217922113859,1.5003184640589784,1.4529644906924795,1.406462834303107,1.3608168180686215,1.3160301823262097,1.272107151456898,1.2290525139135817,1.1868717184682414,1.1455709905923779,1.1051574739849124,1.065639403715727,1.027026319388894,0.9893293293268767,0.9525614402890553,0.9167379720250816,0.881877082541248,0.848000439067923,0.8151340824296648,0.7833095503872614,0.7525653507814847,0.7229489111658947,0.6945191825654059,0.6673501470843526,0.641535579741098,0.6171955513220946,0.5944853325128681,0.573607549399083,0.5548285634396922,0.5384998666442519,0.5250842161515821,0.5151830895924053,0.5095549617173113,0.5091017962853974,0.5147892881957172,0.5274752266266018,0.547677246828622,0.5753953488017778,0.6101118972954984,0.6509691031314527,0.6970012714105871,0.7473064383738044,0.8011261292705144,0.8578588664699953,0.9170418928334264,0.9783237163512517,1.041437975564519,1.1061820443875625,1.1724006521348578,1.2399737280199514,1.308807497024481,1.378827977044111,1.4499762170539277,1.5222047895003716,1.5954751865426704,1.669755870420036,1.74502080030791,1.8212483089759235,1.8984202384177857,1.9765212688838434,2.055538393614717,2.1354605042879427,2.216278061299448,2.2979828295793525,2.380567665428733,2.46402634337609,2.548353414649442,2.633544090795895,2.71959414743442,2.806499844227833,2.8942578579983724,2.98286522655482,3.072319301296214,3.162617707043748,3.2537583078549015,3.3457391778118035,3.438558575964244,3.5322149247576498,3.6267067913962636,3.722032871688193,3.8181919759968945,3.915183016986921,4.013004998903256,4.111657008165815,4.211138205095401,4.311447816616002],[2.27451281005838,2.214018165157433,2.154327126743487,2.0954388665940105,2.037352482181352,1.9800669881113784,1.9235813063450327,1.867894254995089,1.813004535448674,1.7589107175146803,1.705611222231448,1.6531043018906397,1.6013880167336672,1.550460207651458,1.5003184640589784,1.4509600859122638,1.402382038573536,1.3545808988899173,1.3075527904064221,1.261293305047001,1.2157974078156284,1.1710593200175508,1.1270723750699683,1.083828839002046,1.0413196849988258,0.9995343074629456,0.9584601554989349,0.9180822575983366,0.8783825972261503,0.8393392806899937,0.8009254102497849,0.7631075301852412,0.7258434394221087,0.689079038822541,0.6527436605034938,0.6167429205904517,0.5809473497299131,0.5451734290616347,0.5091500216800462,0.4724541944830837,0.43437500878432533,0.39357716698359585,0.34703917548023655,0.28445212413313126,0.2769238038401394,0.36066817626130454,0.41527430481110056,0.45701382729764617,0.4901933080748472,0.5165476231605022,0.5367496433625224,0.5507993686809077,0.5580239283077473,0.5566884462252419,0.542486358079487,0.49914602606236175,0.5470783867593938,0.6500694785105396,0.7370115104179393,0.8182133926227091,0.896696618725508,0.9737964863265107,1.0502239341121398,1.1264018951844585,1.202601506449038,1.27900628676612,1.3557457054892068,1.432914146492816,1.5105822776599886,1.5888041981285728,1.667622108972822,1.7470694659130186,1.8271731666892457,1.9079551049938843,1.989433297361936,2.071622715301856,2.154535909709116,2.2381834861810797,2.322574471532702,2.4077165997348207,2.493616537370233,2.5802800631336957,2.6677122120212307,2.7559173921088895,2.844899479851658,2.9346618984024126,3.025207682398933,3.1165395318851825,3.208659857446195,3.3015708181910437,3.3952743538783166,3.4897722122163506,3.585065972166806,3.681157063920791,3.7780467860911764,3.8757363205651894,3.9742267453818894,4.073519045935406,4.173614124753393,4.27451281005838],[2.238811102517082,2.1777186247457614,2.117403409839981,2.0578628213513555,1.999093976554292,1.9410937166294013,1.883858572351323,1.8273847244596158,1.7716679577130676,1.7167036074042235,1.6624864968287834,1.609010863846003,1.556270274207348,1.5042575187387968,1.4529644906924795,1.402382038573536,1.3524997884105896,1.3033059276487653,1.2547869404234002,1.2069272806587434,1.159708964840474,1.1131110598477647,1.0671090319995957,1.0216739100599237,0.9767711950965284,0.9323594200870342,0.888388215751171,0.844795665369288,0.801504610714318,0.7584173669546642,0.7154079445137026,0.6723102117048521,0.6288991364139221,0.5848595422496544,0.5397306841356485,0.4927994685910022,0.4428700007018342,0.3876751924138437,0.3218823441974489,0.2238460635270686,0.2697229231661722,0.3626118170081314,0.4285773957945154,0.48177099045757577,0.5268058349876288,0.5658680210809282,0.6001742360374083,0.6304562232185318,0.6571631184830429,0.6805569144671215,0.7007589346691419,0.7177691790891034,0.7314663242286328,0.7415883774515497,0.7476862028991103,0.7490280572098511,0.7443972530838383,0.7316076988248181,0.7060461604424748,0.6535613070045566,0.6480884877694929,0.7865288088439124,0.8927256974643487,0.9883245461563797,1.0786580544495883,1.165993310398275,1.2515262089163208,1.3359698434846297,1.4197849591795995,1.5032867323924908,1.5867001952374924,1.6701914794011863,1.7538865744601972,1.8378831652461205,1.922258409986025,2.007074225399559,2.0923809807669937,2.178220143110707,2.2646262113629163,2.351628156759666,2.4392505129819755,2.527514213150673,2.6164372407800784,2.706035141945943,2.79632143251293,2.8873079250359135,2.9790049934862717,3.071421789358863,3.1645664194015577,3.2584460927883794,3.3530672437678595,3.448435634480745,3.544556441631333,3.641434329927081,3.739073514609199,3.83747781493813,3.9366507001392343,4.0365953290319005,4.137314584341722,4.238811102517082],[2.204360945350724,2.1426622767806363,2.08171293762513,2.0215082572737533,1.9620431109253993,1.9033118618484464,1.8453082944227484,1.7880255361658008,1.73145596652579,1.6755911096891523,1.6204215079627573,1.5659365714002278,1.5121243981781438,1.4589715586928191,1.406462834303107,1.3545808988899173,1.3033059276487653,1.2526151123492428,1.2024820550412836,1.1528760018784767,1.1037608638286558,1.055093949105412,1.0068242991868743,0.9588904695914446,0.911217516577318,0.8637128209247211,0.8162601614818594,0.7687110694767748,0.7208717968219992,0.6724828852464381,0.6231855498444331,0.5724628973141949,0.5195286639336284,0.4630925908292241,0.4007810998108084,0.32728361446721643,0.22393073614880699,0.2293188827621303,0.34068322115174154,0.4167484726620226,0.4776922022744315,0.5294461222084301,0.5747420757886585,0.6151004860964241,0.6514609823864279,0.6844413217767265,0.7144614264126512,0.7418090495830335,0.7666767610240315,0.7891832761591,0.8093852963611202,0.827282821630092,0.8428191505931346,0.8558755678267926,0.8662595035949083,0.8736832046086502,0.8777267487226866,0.8777723788189615,0.8728804656427736,0.8615305861128155,0.8409908969044468,0.8053296857982065,0.7343693878126346,0.7693852816033524,0.9131422003258024,1.0270437260734346,1.1297592574958908,1.226599371004336,1.3199376447889422,1.4110643377232217,1.5007657135292662,1.5895586655088674,1.6778019785676839,1.7657551109768088,1.8536118108237116,1.9415205468803483,2.029597540298515,2.1179354102979855,2.2066091006205637,2.295680055747848,2.3851992342017088,2.4752093277685567,2.565746425480556,2.6568412811841187,2.748520292829311,2.840806268646541,2.9337190334402945,3.027275913329659,3.1214921269557827,3.2163811039223535,3.3119547460527885,3.408223643293467,3.505197253337518,3.6028840519985064,3.7012916598282444,3.8004269493092373,3.900296136061632,4.0009048568170495,4.1022582363765965,4.204360945350723],[2.171181362818346,2.108868624206898,2.0472756417723286,1.986395464916175,1.926220439541131,1.8667421142059484,1.807951130438967,1.7498370939209977,1.6923884224255494,1.6355921653377168,1.5794337881777232,1.5238969137123797,1.4689630087790073,1.4146110026290382,1.3608168180686215,1.3075527904064221,1.2547869404234002,1.2024820550412836,1.1505945111824363,1.09907275143442,1.0478552795485077,0.9968679810543251,0.9460204746296101,0.895201036745653,0.8442693656049879,0.7930459623410638,0.7412960041079437,0.6887038141474783,0.6348303201123295,0.5790373975628516,0.5203412891238526,0.45709286106965336,0.3861447460875766,0.2999061604740544,0.16324000292101004,0.25365814319494007,0.35772772117233226,0.4335184162026628,0.4955469568668807,0.5488881184460076,0.5960369433066515,0.6384370548752254,0.6770077959964083,0.7123715644840012,0.7449666130815995,0.7751086585329459,0.8030268858172765,0.828885971845785,0.8527998825835146,0.8748404673907948,0.8950424875928151,0.9134059431895751,0.9298960728558863,0.944441027231418,0.9569268403511278,0.9671888353038218,0.9749978271102637,0.9800380990267112,0.9818713983095688,0.9798753271450351,0.9731305426884319,0.9601934215133456,0.9385689212531676,0.9031822666268776,0.839516729053525,0.7895026291836363,0.96657282714072,1.0932154531582836,1.2045676085444006,1.3082200770026406,1.4073202258456798,1.5035171887991976,1.5977947232383873,1.6907909536028933,1.7829449522400542,1.874572395908018,1.965908107452723,2.0571315857407213,2.148383132569476,2.2397744714676997,2.3313959837576523,2.4233217839097096,2.5156133681725965,2.6083222939587536,2.7014921843458164,2.795160252412056,2.889358477376513,2.9841145239305225,3.0794524692679346,3.175393384137319,3.271955801701353,3.3691560991932263,3.4670088110927146,3.565526888014726,3.6647219121857466,3.7646042779249687,3.8651833437040537,3.966467560964248,4.068464583802857,4.171181362818346],[2.139292164027413,2.0763580395932064,2.0141124140904028,1.9525457904938126,1.8916476715211181,1.8314064197105693,1.771809092557485,1.7128412472070251,1.6544867077302348,1.5967272860717177,1.5395424451751503,1.482908889315391,1.4268000619264094,1.371185524670114,1.3160301823262097,1.261293305047001,1.2069272806587434,1.1528760018784767,1.09907275143442,1.0454373835137067,0.9918724977571981,0.9382581352969148,0.8844442448227928,0.8302396719934706,0.7753955145921341,0.7195789121978687,0.6623296437124007,0.602983529642413,0.5405254787309969,0.4732732113007468,0.3980700219661374,0.30753475969710836,0.1712154901295745,0.23345612299291985,0.34703454839513403,0.42805603097733635,0.493933994980578,0.5504508813763271,0.6003949081688922,0.6453648182546345,0.6863757700606374,0.724116603540986,0.7590762897140152,0.7916126726660468,0.8219926742229351,0.8504171119267334,0.8770366241881393,0.9019621401061805,0.9252718106564818,0.9470155067782535,0.9672175269802737,0.9858778712625423,1.0029722411162816,1.0184507656022808,1.0322352937449153,1.0442148964451574,1.0542389352923094,1.062106592744318,1.0675509469753295,1.0702141538990215,1.0696072424970589,1.0650413728153572,1.0555013864268321,1.0393885404351235,1.013914616835922,0.9732971746577603,0.900122789659587,0.8782861972002833,1.0550095071718557,1.185948809844926,1.301556039583575,1.409212347417865,1.5120744387333223,1.61182459320735,1.7094779020968587,1.8056985448951643,1.9009467427005409,1.995555355933904,2.089773286812066,2.18379168967639,2.277760615836939,2.3718000241616934,2.46600731500979,2.5604626341940966,2.655232698986395,2.750373616669644,2.8459329994175886,2.9419515770779245,3.038464444870946,3.135502041134746,3.2330909224353537,3.331254384497912,3.4300129643787423,3.529384850133243,3.6293862176903673,3.730031509904956,3.8313336692816913,3.9333043332823223,4.035953999189166,4.139292164027413],[2.108713951013401,2.0451517806880863,1.9822451311274194,1.9199816713217526,1.8583477191241546,1.7973280431780092,1.7369056276062438,1.6770613907485235,1.6177738467507592,1.5590186954831977,1.5007683217484116,1.4429911785375347,1.3856510204527628,1.3287059411959206,1.272107151456898,1.2157974078156284,1.159708964840474,1.1037608638286558,1.0478552795485077,0.9918724977571981,0.9356638484970131,0.8790414910262108,0.8217631692501863,0.763508573876937,0.7038409333690134,0.6421408303578143,0.5774831590672318,0.5083836445820078,0.4321934079849428,0.34326603433340014,0.22398681015012678,0.16871282215606886,0.31240408987188106,0.4042518594647654,0.476706192721359,0.5379860559574585,0.5917170292842036,0.6398838407330208,0.6837125631369451,0.7240215241881798,0.7613866136168742,0.7962285433800582,0.8288628491867196,0.8595303606973186,0.8884166603105794,0.9156649545404527,0.941384798971886,0.9656580890251794,0.9885431624785952,1.0100775304321525,1.0302795506341726,1.0491492230846557,1.0666681900352804,1.0827989403860274,1.0974831363586346,1.1106388825328017,1.1221566233235811,1.1318931522170226,1.1396628868144016,1.145224997455258,1.148263948430604,1.14835902778341,1.144934345783526,1.137171574738749,1.1238446418160442,1.1029688189839852,1.0709185261314325,1.0194747969425875,0.9161875696308163,1.0118655980289146,1.1715488626162285,1.3008802766718106,1.417474553672917,1.5269781085621812,1.6320398202568045,1.7341439636720437,1.834215644584007,1.9328742803612975,2.030556642541362,2.127583040416205,2.2241957300804303,2.320582552275781,2.416892176959969,2.5132443183758273,2.609736801755022,2.706450585800332,2.8034534159433955,2.900802535604278,2.9985467340930896,3.096727917708008,3.195382331846834,3.294541523518436,3.3942331079202406,3.4944813851820027,3.5953078411578074,3.696731557507992,3.7987695501096317,3.9014370503193385,4.004747740284046,4.108713951013401],[2.0794681222035836,2.0152720015026477,1.951696674640971,1.888726667727297,1.8263447434450693,1.7645316303108196,1.7032656983052956,1.6425225675885107,1.5822746329832493,1.5224904814184748,1.4631341719311064,1.4041643371769488,1.3455330502330078,1.2871843784861157,1.2290525139135817,1.1710593200175508,1.1131110598477647,1.055093949105412,0.9968679810543251,0.9382581352969148,0.8790414910262108,0.8189276687192826,0.7575278708541724,0.6943032579468196,0.6284729782164794,0.5588353773608317,0.48337564589680254,0.39823256013033004,0.2939584660612112,0.12283596251696971,0.24776906565060564,0.3612316896404841,0.4444007277580405,0.5126499668758335,0.5715150090821838,0.6237544918694785,0.670981700765333,0.7142362677345084,0.75423311548101,0.7914869525372374,0.8263808712261688,0.8592069599852601,0.8901917066969105,0.9195125834138018,0.9473092384694775,0.9736912375565765,0.9987435042234718,1.0225301655657597,1.0450972467245323,1.066474495872428,1.086676516074448,1.1057033073305929,1.1235402665758607,1.1401576456376132,1.1555094193747584,1.1695314606916998,1.1821388460400644,1.1932220097272135,1.2026413034196035,1.2102192550645525,1.2157293767796618,1.2188795801274748,1.2192867727850134,1.2164362462198786,1.2096130777280643,1.19777763534481,1.1793166335425005,1.1514714348287471,1.1087064371152315,1.0356478535293931,0.951118790799798,1.1626453347480787,1.3073234692212392,1.432870595391752,1.5487343672598222,1.6587760085195096,1.7650103286538903,1.8686389819652836,1.970442820234434,2.070960682945403,2.170581367620147,2.269595253781598,2.3682252622367255,2.466646413383118,2.564998713956945,2.663395948257016,2.761931853233591,2.860684565384523,2.9597198927325037,3.059093767890703,3.158854117782111,3.2590423097509262,3.359694284760228,3.460841455881054,3.562511428290618,3.664728581828907,3.7675145465151756,3.8708885938328903,3.9748679610986075,4.079468122203584],[2.0515768704462696,1.986741757989808,1.922490946896056,1.8588054903005515,1.7956641963419764,1.7330432674090452,1.6709158641796775,1.6092515747438125,1.5480157627587359,1.487168759780233,1.426664854505127,1.366451013890272,1.3064652452010437,1.2466344694997198,1.1868717184682414,1.1270723750699683,1.0671090319995957,1.0068242991868743,0.9460204746296101,0.8844442448227928,0.8217631692501863,0.7575278708541724,0.6911077287249483,0.6215733070616336,0.5474595680091454,0.4662187308431455,0.3726530465069312,0.2521630255694544,0.11139346841727327,0.29220206966986084,0.39470235037088247,0.47368634468228266,0.5397888475628316,0.5974219212633956,0.6489295794219799,0.6957352847960263,0.7387798356822219,0.778722279889238,0.8160440649154037,0.8511079643204393,0.8841936877897008,0.9155205307208607,0.9452623746603064,0.9735579447026834,1.0005179994169773,1.026230461551898,1.0507641175347215,1.074171287444753,1.0964897268219842,1.1177439309981174,1.1379459512001375,1.1570957874280448,1.175181388454854,1.192178258948863,1.2080486433700797,1.2227402216391996,1.236184207328946,1.2482926776906094,1.2589548741552041,1.2680320716280846,1.2753503885628636,1.2806905295618685,1.283772784939743,1.2842343811367674,1.281593870654612,1.2751922056846063,1.2640885879300625,1.2468595546335384,1.22116109215703,1.1825811382496703,1.1204848979526891,0.9800803371041439,1.1612539346603636,1.3221479960018807,1.456117720742136,1.5777625983121757,1.6922803777687032,1.8022188398360595,1.9090430223693238,2.013682361169378,2.116767477146025,2.218747747356884,2.3199556123181875,2.420644385534949,2.5210117690093625,2.6212151528116756,2.7213819442471943,2.8216167603525584,2.922006569445827,3.022624450464723,3.123532396143869,3.224783439526414,3.3264232919155297,3.428491621755435,3.531023065388843,3.634048034725815,3.7375933690884304,3.841682866087975,3.946337717585769,4.05157687044627],[2.0250631747184955,1.959585007293788,1.8946528796215962,1.830244021178373,1.7663328571768058,1.7028905372328238,1.6398843607133538,1.5772770701671166,1.5150259744804977,1.453081849604556,1.3913875448721338,1.3298761939016661,1.2684688857286808,1.2070715855498042,1.1455709905923779,1.083828839002046,1.0216739100599237,0.9588904695914446,0.895201036745653,0.8302396719934706,0.763508573876937,0.6943032579468196,0.6215733070616336,0.5436349059736386,0.4574815960368432,0.35668168482607,0.220872243187348,0.1680584773594232,0.32015482884141344,0.4179306518408584,0.4950268422965504,0.5602094992412392,0.6173759481375239,0.6686696784816932,0.7154204625719778,0.7585202596872178,0.7986008993791995,0.836128133760961,0.8714556891048606,0.9048583342562659,0.9365531282829089,0.9667136177206506,0.9954796258118833,1.022964173276597,1.0492584657946638,1.0744355361383902,1.0985529209747495,1.1216546231081646,1.143772526641248,1.1649273767785155,1.1851293969805359,1.2043785872473085,1.2226647241182655,1.239967062388891,1.256253717956572,1.271480688016886,1.2855904359028596,1.2985099288421864,1.310147961154994,1.3203915121212928,1.3291007584986902,1.3361021537513253,1.341178638811466,1.344055444833745,1.344378845545804,1.341683088834604,1.33533634514836,1.3244466552082308,1.3076842467159866,1.282905630175338,1.2462134801236866,1.1888416975282827,1.0771493864503323,1.1703671926822974,1.3465806747250615,1.4877846263398735,1.6143419766807088,1.7326844181727448,1.845818409461971,1.9554277657961292,2.0625629043167026,2.1679283094729263,2.272021782722758,2.375209263595277,2.47776823294144,2.5799144249358124,2.681819060297279,2.7836204008801957,2.8854317494572213,2.98734714083173,3.0894454859681924,3.191793651248175,3.2944487873388337,3.397460118289112,3.5008703352126216,3.6047166955606436,3.709031899966252,3.8138447988135153,3.919180966889748,4.025063174718496],[1.9999507845631503,1.9338265994509973,1.8682084353251946,1.803069327877624,1.7383788627163046,1.6741025692388185,1.610201174929566,1.546629679322072,1.4833361921331265,1.4202604588625067,1.357331966039918,1.2944674717205245,1.2315677354682382,1.16851310987061,1.1051574739849124,1.0413196849988258,0.9767711950965284,0.911217516577318,0.8442693656049879,0.7753955145921341,0.7038409333690134,0.6284729782164794,0.5474595680091454,0.4574815960368432,0.35124207327096185,0.20378478994810445,0.19305208258887951,0.3370035937256009,0.4333279343745171,0.5100186435788768,0.5751473671674593,0.6324162249665524,0.6838949319070678,0.7308808919311766,0.7742508131263115,0.8146293190241416,0.8524791163444554,0.8881532166494857,0.9219270829902888,0.9540193929946688,0.9846059774767393,1.0138294755323296,1.041806194440287,1.0686310828540622,1.0943813912714062,1.1191193929247936,1.1428944132597993,1.1657443357831907,1.1876966986353463,1.2087694594522551,1.2289714796542754,1.2483027592414069,1.266754436793292,1.2843085546739408,1.3009375747429754,1.3166036134936285,1.3312573454803247,1.34483649747059,1.357263818966673,1.368444361315123,1.378261817237093,1.3865735476367536,1.3932037216999906,1.3979336617990008,1.4004879048827275,1.4005134393889378,1.3975475585978434,1.3909656389777747,1.3798909724412998,1.363026155046247,1.3383014718617052,1.302014803061386,1.24609450281651,1.142547032083829,1.1936837798470967,1.381545103573992,1.5281886667439133,1.6585706791202566,1.7799881297316307,1.8957601252882055,2.0077187469153666,2.116996638332261,2.224348829708631,2.330306548631882,2.43525907893822,2.5395009083283466,2.643260584618085,2.746719250619753,2.8500230272760794,2.9532915619995137,3.0566240952261428,3.160103868900804,3.263801396493789,3.367776932505324,3.4720823672186167,3.5767627011001424,3.681857206665503,3.7874003545171138,3.8934225590469573,3.9999507845631506],[1.9762641962544425,1.9094922603383502,1.8431845995374503,1.7773096680102844,1.7118317282893591,1.6467100820809466,1.5818981151637017,1.5173420991742539,1.4529796711859753,1.3887378798853272,1.324530639072964,1.260255355533583,1.1957883824228714,1.1309787615862021,1.065639403715727,0.9995343074629456,0.9323594200870342,0.8637128209247211,0.7930459623410638,0.7195789121978687,0.6421408303578143,0.5588353773608317,0.4662187308431455,0.35668168482607,0.20378478994810445,0.20055034087201784,0.34498765316944696,0.44215265180459223,0.5195868273608113,0.5853656690505364,0.6432134433800993,0.6952184423699577,0.7426923508864445,0.7865229604583933,0.8273437433274415,0.8656247022693303,0.9017250627882688,0.9359257491799357,0.9684503849865831,0.9994794089219801,1.0291598680521699,1.0576123903969519,1.08493625497511,1.111213140181883,1.136509928964847,1.1608808234161767,1.1843689406434903,1.2070075083829674,1.2288207424208857,1.2498244622351087,1.270026482437129,1.2894268030269462,1.3080176093930687,1.3257830820576317,1.3426990052343584,1.3587321511870694,1.3738394028081455,1.387966558005413,1.4010467338312953,1.4129982518905537,1.4237218331644044,1.4330968496330478,1.4409762542304407,1.447179608242814,1.4514832881279163,1.4536063695900678,1.4531896271250602,1.4497630579571514,1.442693189844705,1.4310922312588872,1.4136484973333647,1.3882736960476803,1.3512435608955013,1.2944826026643963,1.1904493307710067,1.2340878202511347,1.4273887555331406,1.5773298419542567,1.710350528875983,1.8340600222770063,1.9519021445211011,2.0657732350683373,2.1768441340560343,2.285894773622388,2.39347370140234,2.499982838059161,2.6057262363336773,2.7109398975743866,2.8158109110891374,2.9204902350325597,3.0251015162489634,3.1297473479536526,3.234513816345971,3.33947387273946,3.4446898800607446,3.550215566673197,3.656097546798163,3.7623765187293694,3.8690882199343104,3.9762641962544425],[1.9540286196530174,1.8866085645928328,1.8196093624379324,1.75299448303161,1.686722358035307,1.6207454159062888,1.5550088723208568,1.4894491968066998,1.4239921443181354,1.3585501925841745,1.2930191527532828,1.2272736057518243,1.161160630673638,1.0944909804271195,1.027026319388894,0.9584601554989349,0.888388215751171,0.8162601614818594,0.7412960041079437,0.6623296437124007,0.5774831590672318,0.48337564589680254,0.3726530465069312,0.220872243187348,0.19305208258887951,0.34498765316944696,0.4450305848408108,0.524252518599789,0.5913292937848381,0.6501985312519054,0.7030495884342596,0.7512505083362313,0.7957240933569206,0.8371273426073101,0.8759470676768485,0.9125551258285918,0.9472423576779236,0.9802404816940232,1.0117367863157276,1.0418843122496984,1.0708090997778426,1.0986154615913435,1.125389888086573,1.1512039803129648,1.1761166744830351,1.2001759379984727,1.223420061695756,1.2458786356360418,1.2675732697441302,1.2885181018991085,1.3087201221011286,1.3281793303501908,1.3468887366461428,1.3648342031098974,1.3819941198166545,1.3983388967052575,1.4138302429392273,1.4284201911168761,1.442049805025687,1.4546474836162264,1.4661267364921227,1.4763832509621921,1.4852909867445283,1.492696903132469,1.4984137116871776,1.502209693939475,1.5037940092739768,1.5027948004276277,1.4987252558109787,1.4909283763130474,1.4784813595347337,1.460016162471707,1.4333434276906982,1.3945255343357603,1.3348866430684363,1.2233551128919098,1.2915793138944174,1.4837641576180425,1.634890797411954,1.7694023509864238,1.894652876035633,2.0140232768352173,2.129391474613173,2.2419235692865245,2.3523995494383287,2.4613697537323285,2.5692384551745944,2.676312145825153,2.7828291613073795,2.888978748712879,2.994913828947811,3.1007598210858127,3.206620913978417,3.312584629896615,3.418725213886087,3.525106196419145,3.631782361819489,3.7388012816298515,3.846204524188793,3.9540286196530174],[1.9332699346940183,1.8652028971731487,1.7975116882123046,1.730154379001506,1.663083041815469,1.596242551596652,1.529569069385068,1.4629880991795965,1.396411963544319,1.329736472690516,1.2628364513292731,1.1955596097636598,1.127717949802207,1.0590753847603267,0.9893293293268767,0.9180822575983366,0.844795665369288,0.7687110694767748,0.6887038141474783,0.602983529642413,0.5083836445820078,0.39823256013033004,0.2521630255694544,0.1680584773594232,0.3370035937256009,0.44215265180459223,0.524252518599789,0.5932904767147639,0.6536302071284474,0.7076507279745985,0.7568206737019555,0.8021226572033302,0.8442522736502054,0.8837228512745219,0.9209254100025543,0.9561652428307701,0.9896853847178264,1.021682292047678,1.0523166722852797,1.0817211730250713,1.1100059678389642,1.1372628918520067,1.1635685508854121,1.1889866866401282,1.2135699904116029,1.2373614989188266,1.2603956662389257,1.2826991785328525,1.3042915588980104,1.325185595542707,1.3453876157447273,1.364897619504071,1.3837092795429538,1.4018098076530672,1.4191796807370083,1.4357922126338252,1.4516129492663907,1.4665988539157153,1.48069723528635,1.4938443516773479,1.5059635972674956,1.5169631369317444,1.526732797098183,1.5351399301723718,1.542023828689356,1.5471880362651806,1.5503895179411886,1.5513229807209123,1.5495974046780776,1.5446994615807432,1.5359335562574268,1.5223170758153164,1.502381385805673,1.4737474680947384,1.4320516417035818,1.3673066240286311,1.2387655480664952,1.3632741366805656,1.5497477116454814,1.7003028365011998,1.8353067619656454,1.961431086874752,2.081842382608088,2.1983310189046414,2.3120216515377305,2.423672763670311,2.5338228595078016,2.642869464953722,2.7511151653192147,2.858796047288869,2.9661001090541523,3.0731796403119964,3.1801598163513134,3.2871448269608265,3.39422234957645,3.5014668801993065,3.608942257789385,3.7167036074042237,3.8247988567691085,3.9332699346940183],[1.9140146364587751,1.8453034022078485,1.7769214704131524,1.7088210921894669,1.640947436108309,1.5732371137166536,1.5056162953794443,1.4379982697703375,1.3702802343057061,1.3023390010402527,1.2340251380191802,1.165154794163509,1.0954979895094525,1.024761318151218,0.9525614402890553,0.8783825972261503,0.801504610714318,0.7208717968219992,0.6348303201123295,0.5405254787309969,0.4321934079849428,0.2939584660612112,0.11139346841727327,0.32015482884141344,0.4333279343745171,0.5195868273608113,0.5913292937848381,0.6536302071284474,0.7091686756680218,0.7595666171537043,0.8058950970553359,0.8489053304345984,0.8891479559185602,0.9270403374759031,0.9629071747583133,0.9970063297908912,1.0295459608138984,1.0606962897363785,1.0905979197069038,1.1193678571903916,1.1471039604849667,1.173888280849523,1.1997896056328652,1.224865413618256,1.2491633882668471,1.2727225914585245,1.295574370849465,1.317743053297849,1.3392464619378754,1.3600962834578567,1.3802983036598768,1.399852522543936,1.41875315430795,1.4369885122636064,1.4545407732767064,1.4713856104890695,1.4874916762445185,1.5028199086631682,1.5173226242838664,1.5309423443233505,1.5436102814328159,1.5552443843533685,1.5657467947868837,1.5750005062684438,1.5828649156494772,1.5891698010209396,1.5937070041425698,1.5962186629892672,1.5963800779093458,1.5937738849341236,1.5878494454365326,1.5778555443548905,1.5627211162193566,1.5408242432797876,1.509485817259801,1.4636309646775474,1.3908618995484847,1.2225045795283844,1.4454736175763625,1.6241125999041348,1.7728487110542293,1.907557592839603,2.0340031099533125,2.1550399642496716,2.2723219911655446,2.3869048746324895,2.499508792898693,2.6106495046609677,2.720710349719064,2.829984733978776,2.938702637403889,3.047047911073384,3.155169986942054,3.263192052955203,3.371216911696452,3.4793312744921465,3.5876089709773455,3.6961133896050713,3.804899361803809,3.9140146364587753],[1.8962897678198913,1.8269389177828663,1.7578694715566043,1.689027437238105,1.6203505259832316,1.551766353547459,1.4831901193816168,1.4145215669607456,1.3456409358980006,1.2764034684216885,1.2066317902898638,1.1361050744424868,1.064543167095059,0.9915825028020218,0.9167379720250816,0.8393392806899937,0.7584173669546642,0.6724828852464381,0.5790373975628516,0.4732732113007468,0.34326603433340014,0.12283596251696971,0.29220206966986084,0.4179306518408584,0.5100186435788768,0.5853656690505364,0.6501985312519054,0.7076507279745985,0.7595666171537043,0.8071417231254213,0.8512036210445844,0.8923531056265714,0.9310422833028869,0.9676209818439611,1.0023659121667101,1.035499827954746,1.067204580804724,1.097630288754037,1.1269019402829465,1.1551242533928388,1.182385315099889,1.2087593478628067,1.2343088372242712,1.259086182447756,1.2831349838743509,1.306491048095093,1.3291831693645033,1.3512337295607248,1.3726591472441574,1.393470197544867,1.4136722177468872,1.433265207850218,1.4522438305708258,1.4705973107786448,1.4883092299132747,1.5053572060965732,1.5217124450740185,1.5373391402545744,1.5521936912971501,1.5662236989382732,1.579366677635263,1.5915484049294113,1.602680793804542,1.6126591262592693,1.621358413813332,1.6286285384293364,1.6342876485106277,1.6381129903735938,1.6398278531013188,1.6390824089233722,1.6354245514082497,1.628253485840573,1.6167416370655077,1.5996934807468548,1.575264658949526,1.5403216738819072,1.4886377225479295,1.403313180780972,1.274351114032121,1.5351852262525922,1.705596443623979,1.8517646702901256,1.985614198377751,2.1119527204900175,2.233278674629388,2.351081406368516,2.4663299775494965,2.579694682246574,2.691660629998042,2.8025913862494596,2.912767104785325,3.022408612665678,3.1316932841324627,3.240765876957375,3.349746151527257,3.4587343643670696,3.5678153160259836,3.6770613907485235,3.7865348773788265,3.8962897678198916],[1.8801228387268014,1.8101388953739255,1.7403872451951377,1.670807235535627,1.6013285650690794,1.531869108234869,1.4623320796013162,1.39260227810191,1.3225410212422726,1.251979168668107,1.1807072807474361,1.1084613401545682,1.0349013351051117,0.9595778218075204,0.881877082541248,0.8009254102497849,0.7154079445137026,0.6231855498444331,0.5203412891238526,0.3980700219661374,0.22398681015012678,0.24776906565060564,0.39470235037088247,0.4950268422965504,0.5751473671674593,0.6432134433800993,0.7030495884342596,0.7568206737019555,0.8058950970553359,0.8512036210445844,0.8934133323886082,0.9330213947242489,0.9704096713088399,1.0058785168171642,1.0396687022040554,1.0719762016956644,1.1029624902793516,1.1327619096035224,1.1614870573207314,1.189232806219573,1.2160793498739249,1.2420945412224889,1.2673357070450302,1.2918510664360765,1.3156808444238304,1.338858146427051,1.3614096413212753,1.3833560879841569,1.4047127306740124,1.4254895813759827,1.4456916015780028,1.465318791280073,1.484366188994258,1.5028237827354167,1.520676328245233,1.5379030666460527,1.554477329062339,1.5703660100753332,1.5855288846568323,1.599917733712309,1.6134752304619973,1.6261335219671962,1.6378124146540274,1.648417035733897,1.6578347875542503,1.6659313284666817,1.672545183483831,1.6774803783795469,1.6804961421989963,1.681292120267396,1.6794864493274126,1.6745819657422047,1.6659115827928646,1.652544537929209,1.6331124332790892,1.6054503974704897,1.5657339130036214,1.5058134614819936,1.3992842171657571,1.4159060020693188,1.6303932542893695,1.793068561851126,1.9363168629757463,2.0689432980490556,2.1948648041891787,2.316220516884682,2.434325296554996,2.550052850256627,2.664016895710123,2.776666876707032,2.8883428050317432,2.99930869800995,3.1097739952736276,3.2199078371770744,3.329848906214667,3.4397124034529174,3.5495951143235063,3.6595791643870568,3.7697348549698857,3.8801228387268014],[1.8655417313209206,1.7949333027354175,1.7245070387775259,1.654195221452066,1.5839189903254924,1.5135857317920358,1.4430856419617837,1.372287122217779,1.3010304874816816,1.2291191704766704,1.156307094644507,1.0822799706659845,1.0066265352356707,0.9287922561552115,0.848000439067923,0.7631075301852412,0.6723102117048521,0.5724628973141949,0.45709286106965336,0.30753475969710836,0.16871282215606886,0.3612316896404841,0.47368634468228266,0.5602094992412392,0.6324162249665524,0.6952184423699577,0.7512505083362313,0.8021226572033302,0.8489053304345984,0.8923531056265714,0.9330213947242489,0.9713327459116873,1.0076170647929816,1.0421373047827815,1.0751065734729341,1.1066999200809264,1.137062693459097,1.1663166130796605,1.194564269839364,1.2218925210204687,1.2483750885564224,1.2740745713892752,1.299044018635461,1.3233281675028845,1.3469644206942035,1.3699836176573292,1.3924106395333018,1.4142648770922381,1.4355605830806395,1.4563071243773313,1.4765091445793517,1.4961666436867,1.5152749781023391,1.5338247809474432,1.5518017994755111,1.5691866429164258,1.585954430129147,1.602074321665764,1.6175089148236186,1.632213472394806,1.646134945262893,1.6592107344858287,1.6713671181301653,1.6825172389136425,1.6925585059395123,1.7013691997355604,1.708803971449448,1.7146877718636886,1.7188074933864348,1.7209001826030368,1.7206359339093997,1.717592199121467,1.7112135662942394,1.7007454578311807,1.6851174322689473,1.6627192552695829,1.63091656994831,1.5847974557933937,1.5127468411556355,1.3606320140752608,1.5398579920203406,1.7298201337969272,1.885594210445508,2.025845565240205,2.1570469241246353,2.2823438734113575,2.4035397309026867,2.521778050387186,2.637835526221539,2.7522666906041033,2.8654828068403067,2.977798164249359,3.089458839389496,3.200661399537542,3.3115655297718343,3.4223028287093307,3.532983100239945,3.6436989579694448,3.7545292623313777,3.8655417313209206],[1.8525745902423736,1.7813525092264464,1.7102616757539129,1.6392269241883124,1.5681603084171196,1.496957993509115,1.425496122142001,1.3536252133593436,1.28116240725249,1.2078804558780485,1.1334916314260002,1.0576233724643398,0.9797798420095405,0.8992780065394955,0.8151340824296648,0.7258434394221087,0.6288991364139221,0.5195286639336284,0.3861447460875766,0.1712154901295745,0.31240408987188106,0.4444007277580405,0.5397888475628316,0.6173759481375239,0.6838949319070678,0.7426923508864445,0.7957240933569206,0.8442522736502054,0.8891479559185602,0.9310422833028869,0.9704096713088399,1.0076170647929816,1.0429547992293493,1.0766568312459461,1.108914500138447,1.1398861812885395,1.1697042353651563,1.1984801218416952,1.2263082326447021,1.2532688121488054,1.2794302109916122,1.3048506446644597,1.329579577253289,1.3536588164861776,1.3771233825969285,1.400002196837454,1.4223186234729852,1.4440908902796679,1.4653324059379318,1.4860519875970992,1.5062540077991196,1.5259384665439923,1.545100991289769,1.5637327648871266,1.5818203786556357,1.599345604819151,1.6162850791124401,1.6326098802835922,1.648284988098803,1.663268594829996,1.67751123639123,1.690954697291167,1.7035306268922004,1.7151587808197017,1.725744767147125,1.7351771264010734,1.7433234979126127,1.750025506300056,1.755091812267729,1.7582884591876278,1.7593251115857151,1.757834824605429,1.7533431827411146,1.7452190428518701,1.7325913407854343,1.7141979622100982,1.6880830188445948,1.6508999586739428,1.5959158792731918,1.5043232817910732,1.4035387224528066,1.6588720188148502,1.8326599770649414,1.9824344899492756,2.1197828333615027,2.2494775167730987,2.3740254812869708,2.4949313571610556,2.6131789280198947,2.729451227385596,2.8442440922416847,2.9579300840201674,3.0707969305310607,3.183071879717759,3.294937791488913,3.4065441468009574,3.5180148029761913,3.629453594945832,3.7409484688224066,3.8525745902423734],[1.841249697718921,1.769427152795527,1.69768441562149,1.6259385231926458,1.5540919506146578,1.482028939280743,1.4096105646945531,1.33666797576833,1.2629929088090894,1.1883240104082673,1.112326473325215,1.0345605233094668,0.9544302951277996,0.8710958338526532,0.7833095503872614,0.689079038822541,0.5848595422496544,0.4630925908292241,0.2999061604740544,0.23345612299291985,0.4042518594647654,0.5126499668758335,0.5974219212633956,0.6686696784816932,0.7308808919311766,0.7865229604583933,0.8371273426073101,0.8837228512745219,0.9270403374759031,0.9676209818439611,1.0058785168171642,1.0421373047827815,1.0766568312459461,1.1096481089450152,1.141285037118711,1.1717124904484235,1.2010522172077458,1.2294072275996453,1.256865115439233,1.283500609461891,1.3093775570512687,1.3345504820705383,1.3590658175635357,1.382962886092141,1.4062746809220412,1.4290284873454122,1.451246373321237,1.472945571126135,1.4941387660351098,1.5148343036369392,1.5350363238389593,1.5547448266411703,1.573955672136236,1.5926605147353785,1.6108466691635939,1.6284969031442635,1.6455891487184038,1.662096120593839,1.6779848255048817,1.6932159408896525,1.7077430337043153,1.7215115800856977,1.7344577326501505,1.7465067626622912,1.7575710763070094,1.7675476633813374,1.776314775611682,1.783727538316653,1.789612052257529,1.793757304695952,1.7959038101267892,1.795727206162772,1.792813760365431,1.7866222921022596,1.776421950357383,1.7611839222342067,1.739376749188764,1.7085330323745067,1.664165118390985,1.5961710513839575,1.465779355316152,1.5726334332013283,1.7762239039605372,1.9383948957850077,2.0830184327619348,2.217652984730696,2.3458433086001285,2.4695818102793146,2.5901160788650217,2.708286069284811,2.8246876467719035,2.939760585576767,3.053839692940047,3.1671863222703114,3.280008737260541,3.3924757889984956,3.504726401980525,3.6168763348134094,3.729023112391487,3.841249697718921],[1.8315953333155597,1.7591879881649006,1.6868087909470129,1.61436667543813,1.5417540934371567,1.468842711519919,1.3954775727306248,1.321469001355966,1.2465810916024789,1.1705148469504292,1.0928825987672992,1.0131675008951158,0.9306559117909281,0.8443166546850175,0.7525653507814847,0.6527436605034938,0.5397306841356485,0.4007810998108084,0.16324000292101004,0.34703454839513403,0.476706192721359,0.5715150090821838,0.6489295794219799,0.7154204625719778,0.7742508131263115,0.8273437433274415,0.8759470676768485,0.9209254100025543,0.9629071747583133,1.0023659121667101,1.0396687022040554,1.0751065734729341,1.108914500138447,1.141285037118711,1.1723779049816152,1.20232690306627,1.231245005830016,1.259228190789592,1.2863583600881427,1.3127056007961322,1.3383299535862183,1.363282809471587,1.3876080204780603,1.4113427867424395,1.434518366052434,1.4571606400109784,1.4792905623497958,1.5009245084555347,1.522074540241547,1.5427485966367227,1.562950616838743,1.5826806008476075,1.6019346094656357,1.6207047037639373,1.63897882182916,1.6567405882746564,1.673969049368702,1.6906383235083633,1.7067171529059304,1.722168337424602,1.7369480250385565,1.7510048247346073,1.7642786958400969,1.7766995512845614,1.788185488924856,1.7986405312442415,1.807951703785378,1.815985207209154,1.8225813209476815,1.8275474900828432,1.8306487404495384,1.831594043445182,1.8300163190934635,1.825442017171798,1.8172427332264314,1.8045538434293418,1.7861275332790485,1.7600406905330912,1.723030160597335,1.668625384640551,1.5793577807183663,1.435967275648287,1.7139124129421215,1.893266037671002,2.046683054442888,2.1869087851249187,2.3190641294324927,2.445807426942443,2.5687230564506702,2.6888421947268952,2.8068784833140654,2.9233487683701562,3.0386407185276827,3.1530533303063835,3.266822509499717,3.3801379318209945,3.4931545542260087,3.606000710138932,3.71878394776086,3.8315953333155597],[1.8236396185713184,1.750665716157954,1.677668420856471,1.6045483133452483,1.5311874427411745,1.4574443237403512,1.3831470818483336,1.3080838396803625,1.2319888625963027,1.154521942111376,1.0752365123293686,0.9935279638419416,0.9085447584512779,0.8190234275607252,0.7229489111658947,0.6167429205904517,0.4927994685910022,0.32728361446721643,0.25365814319494007,0.42805603097733635,0.5379860559574585,0.6237544918694785,0.6957352847960263,0.7585202596872178,0.8146293190241416,0.8656247022693303,0.9125551258285918,0.9561652428307701,0.9970063297908912,1.035499827954746,1.0719762016956644,1.1066999200809264,1.1398861812885395,1.1717124904484235,1.20232690306627,1.2318540359287053,1.260399540311174,1.2880534895242648,1.31489298296319,1.3409841734818286,1.3663838626208795,1.3911407665404194,1.415296527011218,1.4388865219457558,1.4619405158286418,1.484483180189052,1.5065345067293803,1.5281101300686486,1.5492215727169014,1.5698764214757475,1.5900784416777678,1.609827633322962,1.6291202310787496,1.6479486481435217,1.6663013620072338,1.6841627380508641,1.7015127845720184,1.718326830041521,1.7345751099747628,1.7502222464592632,1.7652265977242527,1.7795394476096544,1.79310399457477,1.8058540857657197,1.8177126217872912,1.8285895293288963,1.83837915711509,1.8469568883592462,1.8541746675556738,1.8598549895744523,1.8637826562375743,1.8656931984777598,1.8652561519216793,1.8620500753235412,1.8555236921683202,1.8449323493271717,1.8292273303942888,1.8068463959071375,1.7752696433846298,1.7299052478766506,1.6603792633005687,1.5263854159222112,1.6404149275985296,1.8463348221263556,2.010682314529846,2.1572923455093287,2.2937709023082005,2.4236962736027934,2.5490835193974966,2.6711961082889646,2.790885578475012,2.9087565393639805,3.0252555568520796,3.140722839424092,3.255424121720149,3.3695712811250127,3.483336192133127,3.5968603400483903,3.710261675753914,3.823639618571318],[1.8174103471558987,1.743890794599411,1.6702968010552495,1.5965204127923789,1.5224329796847833,1.4478793866151851,1.3726700725710557,1.2965697107737606,1.2192806777911298,1.1404180611834902,1.059470256509036,0.9757335405812483,0.8881960438853653,0.7953133589569212,0.6945191825654059,0.5809473497299131,0.4428700007018342,0.22393073614880699,0.35772772117233226,0.493933994980578,0.5917170292842036,0.670981700765333,0.7387798356822219,0.7986008993791995,0.8524791163444554,0.9017250627882688,0.9472423576779236,0.9896853847178264,1.0295459608138984,1.067204580804724,1.1029624902793516,1.137062693459097,1.1697042353651563,1.2010522172077458,1.231245005830016,1.260399540311174,1.2886153133426304,1.315977407816582,1.3425588456881008,1.3684224267393517,1.3936221824248178,1.4182045345477103,1.44220922408682,1.4656700583212137,1.4886155121108409,1.511069210240255,1.533050311096181,1.5545738069348152,1.5756507521230794,1.5962884276718983,1.6164904478739184,1.63625681272914,1.6555839079449164,1.6744644525103225,1.6928873920584366,1.7108377343330632,1.7282963209474762,1.745239527117123,1.7616388779820538,1.7774605662632015,1.792664850981776,1.8072053103345653,1.821027912867087,1.8340698587971758,1.8462581261697601,1.8575076320926422,1.8677188838744128,1.8767749424358633,1.8845374409338445,1.8908412781581394,1.8954874090875522,1.8982328295007673,1.8987762938087356,1.896737307172873,1.8916240526872588,1.8827821466474857,1.8693079700862703,1.849890946793333,1.8224968522804845,1.7836362212033956,1.7262572273038101,1.6304549938996042,1.5370620492801201,1.7964053542371876,1.9748867436693072,2.1288626169088403,2.270060833704396,2.4033475590368805,2.531289096136803,2.655429852468632,2.7767816975471264,2.896048354558807,3.0137414279454777,3.130245830146814,3.245859184594983,3.360816818068621,3.475308291580258,3.589488720247169,3.7034867541953713,3.8174103471558984],[1.8129348016371192,1.7388932317832784,1.664727071133573,1.5903197314895563,1.5155316679708468,1.4401937834088927,1.3640982166574451,1.286985132006519,1.2085231734137367,1.1282794456593004,1.0456712640826151,0.9598840671455561,0.8697211704868757,0.7733004405038795,0.6673501470843526,0.5451734290616347,0.3876751924138437,0.2293188827621303,0.4335184162026628,0.5504508813763271,0.6398838407330208,0.7142362677345084,0.778722279889238,0.836128133760961,0.8881532166494857,0.9359257491799357,0.9802404816940232,1.021682292047678,1.0606962897363785,1.097630288754037,1.1327619096035224,1.1663166130796605,1.1984801218416952,1.2294072275996453,1.259228190789592,1.2880534895242648,1.315977407816582,1.3430807892695669,1.36943317871436,1.395094506809198,1.420116427647454,1.4445433887963448,1.468413491908821,1.491759186991499,1.5146078325654084,1.5369821460100688,1.5589005624573096,1.5803775161013471,1.6014236543004363,1.6220459920677612,1.6422480122697813,1.6620297149064969,1.6813876171114481,1.700314703871451,1.7188003278282507,1.7368300547876308,1.7543854496177615,1.7714437949391237,1.7879777322306882,1.8039548114858377,1.819336931051622,1.8340796433608246,1.848131294320072,1.8614319532711274,1.8739120753828507,1.8854908170522182,1.896073894266312,1.9055508289124021,1.913791360554408,1.9206406974823103,1.9259131170368653,1.9293831584232475,1.9307732011385872,1.9297354311889725,1.9258247390789256,1.918456246952516,1.9068352044680317,1.8898333910003493,1.8657514192496598,1.8318030326522128,1.7827741136995594,1.706245688929935,1.5424501958934433,1.741210545949197,1.9391128230010288,2.101693581427787,2.248047915251355,2.3848726856383906,2.515439622701111,2.641630860042211,2.7646430820229364,2.8852908501814145,3.004156849178236,3.121673974233203,3.2381735813886907,3.353915506354685,3.4691076102774354,3.5839189903254924,3.698489191379239,3.812934801637119],[1.8102395584502262,1.735702364137599,1.6609917607130211,1.5859825189951309,1.5105241230141022,1.4344332941674245,1.3574834543328813,1.279389451861888,1.1997846723607042,1.1181853365106695,1.033932004245982,0.9460875987374515,0.8532446467678592,0.7531182925129332,0.641535579741098,0.5091500216800462,0.3218823441974489,0.34068322115174154,0.4955469568668807,0.6003949081688922,0.6837125631369451,0.75423311548101,0.8160440649154037,0.8714556891048606,0.9219270829902888,0.9684503849865831,1.0117367863157276,1.0523166722852797,1.0905979197069038,1.1269019402829465,1.1614870573207314,1.194564269839364,1.2263082326447021,1.256865115439233,1.2863583600881427,1.31489298296319,1.3425588456881008,1.36943317871436,1.3955825533113968,1.4210644392314458,1.4459284461233195,1.4702173198834885,1.4939677463287544,1.5172110011859454,1.5399734756973062,1.5622770999990723,1.584139681080765,1.6055751680502304,1.6265938542482068,1.6472025232147953,1.6674045434168154,1.6871999148542673,1.7065852690603314,1.7255538224949065,1.7440952818172542,1.7621956979195286,1.779837263812208,1.7969980493590576,1.813651663317832,1.8297668299617034,1.84530686347387,1.8602290179578613,1.874483683764865,1.8880133911426462,1.900751568821776,1.912620986350769,1.9235317821058997,1.9333789397154093,1.9420390173141113,1.9493658451995193,1.9551847685657748,1.9592847883937725,1.9614075813761889,1.961231735810677,1.958349374885573,1.952230113293319,1.9421627598119313,1.9271551760265149,1.9057482669961614,1.875631755056137,1.8327181404921244,1.768274229594153,1.6538145342830546,1.6754176977328021,1.90308941561944,2.0758790140845322,2.2278657672604085,2.3683961619193745,2.5016431542930064,2.629891600205578,2.7545489728743062,2.8765523491283815,2.9965611690336047,3.1150592119086395,3.2324130921472225,3.34890796139794,3.4647703977830098,3.5801836799049402,3.6952983237335593,3.8102395584502258],[1.8093502831869035,1.734346620400366,1.6591225168818733,1.5835442008134377,1.5074502451714191,1.4306431699524298,1.3528775018357329,1.2738422862005603,1.1931345541332956,1.1102173077463582,1.0243493722885924,0.9344601037552056,0.8389047205371063,0.7349232229694468,0.6171955513220946,0.4724541944830837,0.2238460635270686,0.4167484726620226,0.5488881184460076,0.6453648182546345,0.7240215241881798,0.7914869525372374,0.8511079643204393,0.9048583342562659,0.9540193929946688,0.9994794089219801,1.0418843122496984,1.0817211730250713,1.1193678571903916,1.1551242533928388,1.189232806219573,1.2218925210204687,1.2532688121488054,1.283500609461891,1.3127056007961322,1.3409841734818286,1.3684224267393517,1.395094506809198,1.4210644392314458,1.446387581452359,1.4711117842663022,1.495278326661797,1.5189226717997566,1.5420750797970524,1.5647611042149185,1.5870019926606456,1.6088150070271672,1.6302136751530691,1.6512079827583541,1.6718045121643217,1.692006532366342,1.7118140433644147,1.7312237761631701,1.7502291484413086,1.7688201744788274,1.7869833264371409,1.804701342423315,1.8219529748300596,1.8387126700961405,1.8549501681046858,1.8706300056947833,1.8857109038779105,1.900145011859703,1.913876972193897,1.9268427593404143,1.9389682270587585,1.9501672761285578,1.9603395192195125,1.9693672684952162,1.9771115940983608,1.983407081675667,1.9880547258772603,1.9908120821159805,1.9913792617446477,1.98937839882097,1.984322423297699,1.9755654049633367,1.9622190754315505,1.9430021040523888,1.915940716107372,1.8776880505778668,1.82161539117328,1.7298797857933357,1.5773814170624219,1.8663935884224778,2.0515389856655286,2.209670697716922,2.3540562356886214,2.4900156593107603,2.6203089682481884,2.7465809441099944,2.869902230900973,2.9910140033722774,3.110453259411491,3.228622967932228,3.345834083555257,3.4623320796013166,3.5783144360737924,3.6939425799963264,3.8093502831869035],[1.8102915188552577,1.7348532753328152,1.6591498163202343,1.5830390402908439,1.5063488208911457,1.4288676606972974,1.350331291688792,1.2704028564332122,1.1886424810050555,1.104458388935932,1.0170237729438387,0.9251247354930984,0.8268535404322094,0.7188973004813732,0.5944853325128681,0.43437500878432533,0.2697229231661722,0.4776922022744315,0.5960369433066515,0.6863757700606374,0.7613866136168742,0.8263808712261688,0.8841936877897008,0.9365531282829089,0.9846059774767393,1.0291598680521699,1.0708090997778426,1.1100059678389642,1.1471039604849667,1.182385315099889,1.2160793498739249,1.2483750885564224,1.2794302109916122,1.3093775570512687,1.3383299535862183,1.3663838626208795,1.3936221824248178,1.420116427647454,1.4459284461233195,1.4711117842663022,1.4957127818653237,1.5197714554952864,1.5433222144856813,1.5663944424067144,1.589012969005065,1.6111984515582611,1.6329676801129769,1.6543338176093858,1.6753065831754632,1.6958923846887184,1.7160944048907387,1.7359126437815238,1.755343918619487,1.7743818215271183,1.793016633376443,1.8112351912272873,1.829020705032977,1.8463525175159843,1.8632057989296298,1.8795511657037074,1.8953542085087265,1.9105749107697843,1.9251669326979588,1.9390767278793632,1.9522424484794652,1.9645925798488446,1.9760442237179352,1.9865009180623192,1.9958498360311698,2.0039581377527127,2.010668143382717,2.0157908291718356,2.0190968769298734,2.020304049272792,2.0190588579511597,2.0149090077797696,2.0072601989899796,1.995304798900812,1.9778960227413203,1.9533058055360661,1.9186990023838697,1.8687642160339237,1.7908235154057448,1.6232582767015256,1.8283144027237195,2.0288287668563023,2.1936447752288486,2.3420050555837246,2.480680291048653,2.6129833689034347,2.7408220252995683,2.865410157772733,2.9875745736049293,3.1079070492645497,3.2268474586770957,3.3447326592749835,3.4618269190787228,3.5783417355121534,3.6944492349287756,3.8102915188552577],[1.81308647027772,1.7372481967027205,1.6611026664891893,1.5844997833759256,1.5072570975141626,1.4291495028809655,1.349894351749163,1.2691292340197973,1.1863774797673792,1.1009919632216616,1.0120578538116523,0.9182105702990601,0.8172565985484861,0.7052510675898003,0.573607549399083,0.39357716698359585,0.3626118170081314,0.5294461222084301,0.6384370548752254,0.724116603540986,0.7962285433800582,0.8592069599852601,0.9155205307208607,0.9667136177206506,1.0138294755323296,1.0576123903969519,1.0986154615913435,1.1372628918520067,1.173888280849523,1.2087593478628067,1.2420945412224889,1.2740745713892752,1.3048506446644597,1.3345504820705383,1.363282809471587,1.3911407665404194,1.4182045345477103,1.4445433887963448,1.4702173198834885,1.495278326661797,1.5197714554952864,1.5437356406767249,1.5672043868624996,1.5902063242639102,1.6127656599109566,1.6349025427714228,1.6566333563151958,1.6779709488794674,1.6989248096443126,1.7195011959744382,1.7397032161764585,1.7595308702503731,1.7789810498895686,1.7980474977293373,1.8167207245896044,1.8349878821331789,1.8528325868901725,1.8702346898928026,1.887169984111068,1.9036098393336702,1.9195207509042214,1.9348637845299532,1.94959389384685,1.9636590800022558,1.9769993523990053,1.9895454357342133,2.0012171487372052,2.0119213517351664,2.0215493188640226,2.029973329101277,2.037042176145635,2.042575149536392,2.046353800942916,2.048110411086293,2.0475113802959415,2.0441325058353597,2.0374206884277215,2.0266316418319716,2.0107221115004115,1.9881477352992503,1.9564398358642183,1.9111643276024979,1.8425774353397433,1.7161471705434848,1.78751656092299,2.0079509837425173,2.179998542337276,2.332408113700001,2.4737661258546146,2.608017449771248,2.737355599585298,2.8631451565350567,2.9863009511915144,3.1074701093249217,3.2271293008607635,3.3456409358980004,3.4632876621638045,3.5802945856811084,3.6968441562986802,3.81308647027772],[1.817756788263717,1.741555589933242,1.6650083011997985,1.587957292657251,1.5102103394040804,1.4315293760438486,1.351614133227468,1.2700775017707293,1.1864068871532096,1.0999004394165177,1.0095548594613795,0.9138507073739203,0.8102911600346612,0.6942252750067368,0.5548285634396922,0.34703917548023655,0.4285773957945154,0.5747420757886585,0.6770077959964083,0.7590762897140152,0.8288628491867196,0.8901917066969105,0.9452623746603064,0.9954796258118833,1.041806194440287,1.08493625497511,1.125389888086573,1.1635685508854121,1.1997896056328652,1.2343088372242712,1.2673357070450302,1.299044018635461,1.329579577253289,1.3590658175635357,1.3876080204780603,1.415296527011218,1.44220922408682,1.468413491908821,1.4939677463287544,1.5189226717997566,1.5433222144856813,1.5672043868624996,1.5906019221522936,1.6135428075124785,1.6360507179705803,1.6581453679116074,1.6798427929861017,1.7011555722602667,1.7220929980248967,1.742661198735582,1.7628632189376021,1.7826990586309572,1.802165673270368,1.8212569344002432,1.839963549729789,1.8582729401928026,1.876169070138741,1.8936322251825966,1.9106387302968428,1.9271605983240652,1.943165096042181,1.9586142109752191,1.973463996959326,1.9876637695413655,2.001155112869804,2.0138706467406866,2.0257324842302022,2.036650284323996,2.0465187661102084,2.055214494923818,2.0625916655070995,2.0684764743197337,2.0726594599763213,2.0748848375815223,2.0748352448741,2.0721092247433175,2.066186696518954,2.0563734857714175,2.041706858212062,2.0207820411059116,1.9913995220372476,1.9497350687236805,1.8878733889199717,1.7821127493298687,1.7409785694196307,1.9891719977831264,2.1689727497542126,2.325442675186176,2.469406262929475,2.6055144554209755,2.736264075780154,2.863174563920887,2.987249218942446,3.1091898908032265,3.2295091740236463,3.348594177787918,3.4667451714451296,3.5842002203917174,3.701151549529202,3.8177567882637167],[1.8243223575879441,1.7477977453896612,1.6708918767272067,1.593440178353493,1.5152413749755056,1.4360453400393822,1.3555353022720076,1.2733008492610085,1.1887951777058385,1.1012637132484326,1.0096166006840845,0.9121796513934616,0.8061433660181113,0.6860907048654024,0.5384998666442519,0.28445212413313126,0.48177099045757577,0.6151004860964241,0.7123715644840012,0.7916126726660468,0.8595303606973186,0.9195125834138018,0.9735579447026834,1.022964173276597,1.0686310828540622,1.111213140181883,1.1512039803129648,1.1889866866401282,1.224865413618256,1.259086182447756,1.2918510664360765,1.3233281675028845,1.3536588164861776,1.382962886092141,1.4113427867424395,1.4388865219457558,1.4656700583212137,1.491759186991499,1.5172110011859454,1.5420750797970524,1.5663944424067144,1.5902063242639102,1.6135428075124785,1.6364313361131755,1.6588951353683776,1.6809535520582466,1.702622327464692,1.7239138126657503,1.744837133194032,1.7653983082983475,1.7856003285003677,1.8054431938000925,1.8249239136758515,1.8440364688788335,1.8627717338764282,1.8811173575906,1.899057598739438,1.9165731105427817,1.9336406676982534,1.9502328262450983,1.9663175040394767,1.9818574658324102,1.996809692042004,2.011124603775759,2.0247451078043417,2.037605413005066,2.049629552758808,2.0607295235568843,2.070802914977632,2.0797298543148646,2.0873690107305842,2.0935522823051245,2.0980775957310374,2.100698929807914,2.101112130080873,2.0989341131570924,2.0936712439836676,2.0846690558137944,2.071027734928953,2.0514495526165106,2.023935904989279,1.9850988372112734,1.9282317992277371,1.8353063439929291,1.6783915180725253,1.972843300987686,2.160838179612877,2.3212948811696266,2.4677352069490164,2.6055761966436806,2.737627349612069,2.865562854473516,2.9904725664327256,3.113111059847766,3.23402513801918,3.3536252133593436,3.472228057141372,3.590083795919126,3.7073937049856216,3.824322357587944],[1.8328010930929153,1.7559947937227829,1.678776175327297,1.6009744350084176,1.5223801458821797,1.4427322676066003,1.361699014060683,1.2788486268145935,1.1936027048222233,1.1051574530966728,1.012341067445327,0.9133299509471705,0.805003731662615,0.6811448255497904,0.5250842161515821,0.2769238038401394,0.5268058349876288,0.6514609823864279,0.7449666130815995,0.8219926742229351,0.8884166603105794,0.9473092384694775,1.0005179994169773,1.0492584657946638,1.0943813912714062,1.136509928964847,1.1761166744830351,1.2135699904116029,1.2491633882668471,1.2831349838743509,1.3156808444238304,1.3469644206942035,1.3771233825969285,1.4062746809220412,1.434518366052434,1.4619405158286418,1.4886155121108409,1.5146078325654084,1.5399734756973062,1.5647611042149185,1.589012969005065,1.6127656599109566,1.6360507179705803,1.6588951353683776,1.6813217631347865,1.7033496419565348,1.7249942678943069,1.7462678020341549,1.7671792309036503,1.7877344827019384,1.8079365029039587,1.8277852915097108,1.8472779030442559,1.8664084093084483,1.885167823774717,1.9035439853570089,1.9215213979946402,1.9390810210008835,1.9562000033453,1.9728513528434488,1.9890035284573429,2.0046199403437712,2.0196583376159136,2.034070057565386,2.047799101687228,2.0607809923150606,2.0729413475887077,2.0841940896676356,2.094439168168951,2.1035596323026184,2.111417812157179,2.117850256953716,2.1226608995025122,2.1256116239779845,2.126408918863837,2.1246844215744365,2.1199655365017347,2.1116291105280887,2.0988243899846286,2.0803358522297715,2.0543159065461674,2.017693885808872,1.964592295517741,1.8803411885229822,1.6708631977795334,1.9594276504950163,2.155892300297266,2.32015524681413,2.4688855065027253,2.608300663404923,2.741521089460309,2.8703703815899004,2.996020343986311,3.1192747716364413,3.240712065586399,3.3607639842660175,3.4797623137962965,3.5979680945192163,3.7155907533187427,3.8328010930929155],[1.8432087483879285,1.7661644749614096,1.6886813234830655,1.6105830934367253,1.5316532709625306,1.4516212891111953,1.370142192226449,1.2867653893172808,1.200884397923177,1.1116512681855593,1.0178197570163765,0.9174281465339048,0.8070608830468394,0.6797038182590656,0.5151830895924053,0.36066817626130454,0.5658680210809282,0.6844413217767265,0.7751086585329459,0.8504171119267334,0.9156649545404527,0.9736912375565765,1.026230461551898,1.0744355361383902,1.1191193929247936,1.1608808234161767,1.2001759379984727,1.2373614989188266,1.2727225914585245,1.306491048095093,1.338858146427051,1.3699836176573292,1.400002196837454,1.4290284873454122,1.4571606400109784,1.484483180189052,1.511069210240255,1.5369821460100688,1.5622770999990723,1.5870019926606456,1.6111984515582611,1.6349025427714228,1.6581453679116074,1.6809535520582466,1.7033496419565348,1.7253524293269578,1.74697721070163,1.7682359925301152,1.789137648176299,1.809688031703925,1.8298900519059451,1.8497437087823596,1.8692460935402162,1.8883913521157714,1.9071706111451396,1.9255718641787571,1.9435798146845091,1.9611756709419106,1.9783368862057662,1.995036835396645,2.01124441690307,2.026923564645537,2.0420326510605737,2.0565237556948004,2.0703417660476378,2.0834232662736047,2.0956951540120787,2.107072903908161,2.1174583651320766,2.126736934305839,2.1347738763779214,2.1414094601453932,2.146452408009736,2.1496708874934223,2.1507798133151663,2.149422423227824,2.145142606845461,2.137341572663009,2.125206389071728,2.1075841464596445,2.0827403442499657,2.0478359312602183,1.9975726349080396,1.9194033746162815,1.7546075702006987,1.9495265239358397,2.154451293006541,2.3222123981983547,2.4729837020894596,2.613779352975972,2.7480149045491955,2.8776520746908547,3.0039371064889977,3.127717949802207,3.2496010870909933,3.3700371093463684,3.489370972224604,3.6078732426749847,3.72576043455737,3.8432087483879283],[1.8555587416124872,1.778321927110249,1.7006245323966,1.6222858978807975,1.5430836383618658,1.462739267870777,1.3808968394072916,1.2970899667761795,1.2106884697691616,1.1208068396503923,1.0261348365031995,0.9245901882072506,0.8124936086244932,0.6820886776773399,0.5095549617173113,0.41527430481110056,0.6001742360374083,0.7144614264126512,0.8030268858172765,0.8770366241881393,0.941384798971886,0.9987435042234718,1.0507641175347215,1.0985529209747495,1.1428944132597993,1.1843689406434903,1.223420061695756,1.2603956662389257,1.295574370849465,1.3291831693645033,1.3614096413212753,1.3924106395333018,1.4223186234729852,1.451246373321237,1.4792905623497958,1.5065345067293803,1.533050311096181,1.5589005624573096,1.584139681080765,1.6088150070271672,1.6329676801129769,1.6566333563151958,1.6798427929861017,1.702622327464692,1.7249942678943069,1.74697721070163,1.7685862958582643,1.78983340844878,1.810727333005182,1.83127386538835,1.8514758855903701,1.8713333936112426,1.890843509458881,1.9100004372724058,1.9287953925198118,1.9472164901165292,1.9652485900909547,1.9828730960164047,2.0000676997495392,2.0168060639513605,2.0330574312695915,2.04878614572723,2.0639510675078148,2.0785048565507265,2.092393092587966,2.105553188612422,2.1179130399879034,2.129389330543692,2.139885387008049,2.149288429200063,2.1574659976473316,2.1642612395363336,2.169486575329835,2.1729150111907054,2.1742679305424804,2.1731974435628296,2.1692599916818205,2.1618752286458327,2.1502586557386234,2.1333039908910783,2.1093598565113716,2.075754158544549,2.027592739543964,1.9537095895727616,1.8092136987504945,1.9438983960607457,2.156836152424815,2.3276451237760085,2.4801457437628054,2.622094432462795,2.7571704760140285,2.887456146536839,3.014261683947897,3.13847259698305,3.2607190658505747,3.3814674767457036,3.5010737766686764,3.619816451588519,3.7379178867062093,3.8555587416124872],[1.8698620025543955,1.792479499837003,1.714619868104457,1.636099018294588,1.556690039421428,1.4761083251108,1.393989406312434,1.3098546022171766,1.2230551961931524,1.1326761138111299,1.0373563046518868,0.934916602120041,0.8214616399870941,0.6886049187767856,0.5091017962853974,0.45701382729764617,0.6304562232185318,0.7418090495830335,0.828885971845785,0.9019621401061805,0.9656580890251794,1.0225301655657597,1.074171287444753,1.1216546231081646,1.1657443357831907,1.2070075083829674,1.2458786356360418,1.2826991785328525,1.317743053297849,1.3512337295607248,1.3833560879841569,1.4142648770922381,1.4440908902796679,1.472945571126135,1.5009245084555347,1.5281101300686486,1.5545738069348152,1.5803775161013471,1.6055751680502304,1.6302136751530691,1.6543338176093858,1.6779709488794674,1.7011555722602667,1.7239138126657503,1.7462678020341549,1.7682359925301152,1.78983340844878,1.8110718451863297,1.8319600216189456,1.85250369058532,1.8727057107873402,1.892566082225006,1.912081946196431,1.9312475498629214,1.9500541743482969,1.9684900242563772,1.9865400752920128,2.00418587529057,2.021405292313811,2.0381722014477694,2.0544560993954937,2.070221632696695,2.085428021151852,2.1000283523893604,2.1139687159272347,2.1271871347181612,2.1396122377928015,2.1511615973503746,2.1617396245669855,2.171234875862945,2.179516557843553,2.1864299219847174,2.1917900876237617,2.1953735851309912,2.1969064982819573,2.196047366086221,2.192361693815235,2.1852823985558643,2.1740453170809113,2.157577280944371,2.134285372429413,2.1016132445730578,2.0549403627143468,1.9839915767538852,1.85095322123704,1.9434452306288317,2.163352393524261,2.3366131551386093,2.4904721576755957,2.633315900611483,2.769039750174766,2.89982287296083,3.0270263193888938,3.1515651638881925,3.274088123090598,3.395073877805266,3.5148868970824667,3.633811787296376,3.7520754594329633,3.8698620025543957],[1.886126845054839,1.8086465984097475,1.7306780581030554,1.6520348071187958,1.5724868573479256,1.4917454331029334,1.4094402465597635,1.3250841984325512,1.2380158343142813,1.1472996686352905,1.0515393523050576,0.9484877940749862,0.8340959713625684,0.6995171034938963,0.5147892881957172,0.4901933080748472,0.6571631184830429,0.7666767610240315,0.8527998825835146,0.9252718106564818,0.9885431624785952,1.0450972467245323,1.0964897268219842,1.143772526641248,1.1876966986353463,1.2288207424208857,1.2675732697441302,1.3042915588980104,1.3392464619378754,1.3726591472441574,1.4047127306740124,1.4355605830806395,1.4653324059379318,1.4941387660351098,1.522074540241547,1.5492215727169014,1.5756507521230794,1.6014236543004363,1.6265938542482068,1.6512079827583541,1.6753065831754632,1.6989248096443126,1.7220929980248967,1.744837133194032,1.7671792309036503,1.789137648176299,1.810727333005182,1.8319600216189456,1.852844389576198,1.8733861613289782,1.8935881815309985,1.9134504501822585,1.9329701226290465,1.9521414744193235,1.970955829994481,1.9894014531258726,2.0074633958202943,2.0251233010552,2.042359153078656,2.0591449670138466,2.0754504070007784,2.0912403188946715,2.1064741593509413,2.121105297577625,2.1350801585754873,2.1483371665041733,2.1608054327017765,2.1724031130086385,2.183035330555387,2.1925915185528,2.2009419755269857,2.207933330624744,2.21338246798892,2.2170682192390796,2.2187197323198755,2.2179997289383766,2.2144795973483187,2.2076008379330956,2.196612398239684,2.1804623543977875,2.157595042979714,2.1255271553107873,2.079808074155345,2.0106984720183965,1.8841327020142413,1.9491327225391515,2.1742645782413716,2.3492474865140833,2.5040433496305408,2.6474989482646536,2.783663304998927,2.914783511081959,3.0422559156042683,3.167016004135522,3.2897252310827314,3.4108706957317634,3.5308226859066747,3.6498699772949745,3.768242558005708,3.886126845054839],[1.9043588680993826,1.8268295623759183,1.7488063405244003,1.6701016088374074,1.5904838223134594,1.509662093320167,1.427263182436389,1.3427957127205543,1.255591743319358,1.1647053653695307,1.068722134724796,0.9653599467427041,0.850489871039448,0.715021690813225,0.5274752266266018,0.5165476231605022,0.6805569144671215,0.7891832761591,0.8748404673907948,0.9470155067782535,1.0100775304321525,1.066474495872428,1.1177439309981174,1.1649273767785155,1.2087694594522551,1.2498244622351087,1.2885181018991085,1.325185595542707,1.3600962834578567,1.393470197544867,1.4254895813759827,1.4563071243773313,1.4860519875970992,1.5148343036369392,1.5427485966367227,1.5698764214757475,1.5962884276718983,1.6220459920677612,1.6472025232147953,1.6718045121643217,1.6958923846887184,1.7195011959744382,1.742661198735582,1.7653983082983475,1.7877344827019384,1.809688031703925,1.83127386538835,1.85250369058532,1.8733861613289782,1.8939269879654617,1.9141290081674818,1.9339922219350387,1.953513791595421,1.9726880068024915,1.9915062135221067,2.0099567049241607,2.02802457092461,2.045691501765885,2.0629355394087816,2.079730768527102,2.096046936406746,2.1118489878612596,2.1270964971182664,2.1417429731264437,2.155735007334333,2.169011222899349,2.1815009703036057,2.193122694667806,2.2037818718520787,2.2133683692547703,2.221753025827695,2.228783152144725,2.234276504633616,2.238013051394058,2.2397234521340987,2.2390724897552854,2.2356344474855865,2.2288550421092284,2.2179896473875793,2.2019967223513444,2.179338739101486,2.1475677401180673,2.102314589290413,2.0340922680024747,1.9104870170998962,1.9618186609700359,2.1897691655607003,2.365641386190963,2.5209155022982586,2.664681730684392,2.801069001733167,2.9323594200870353,3.0599674298922714,3.1848389400121473,3.3076418912999648,3.428867660697297,3.5488894876252863,3.6679982597163194,3.7864255219718785,3.904358868099383],[1.9245608883014027,1.8470315825779384,1.7690083607264204,1.6903036290394278,1.6106858425154795,1.529864113522187,1.4474652026384094,1.3629977329225744,1.2757937635213783,1.1849073855715508,1.0889241549268163,0.9855619669447243,0.8706918912414682,0.7352237110152453,0.547677246828622,0.5367496433625224,0.7007589346691419,0.8093852963611202,0.8950424875928151,0.9672175269802737,1.0302795506341726,1.086676516074448,1.1379459512001375,1.1851293969805359,1.2289714796542754,1.270026482437129,1.3087201221011286,1.3453876157447273,1.3802983036598768,1.4136722177468872,1.4456916015780028,1.4765091445793517,1.5062540077991196,1.5350363238389593,1.562950616838743,1.5900784416777678,1.6164904478739184,1.6422480122697813,1.6674045434168154,1.692006532366342,1.7160944048907387,1.7397032161764585,1.7628632189376021,1.7856003285003677,1.8079365029039587,1.8298900519059451,1.8514758855903701,1.8727057107873402,1.8935881815309985,1.9141290081674818,1.934331028369502,1.954194242137059,1.9737158117974414,1.9928900270045116,2.0117082337241268,2.030158725126181,2.04822659112663,2.0658935219679053,2.083137559610802,2.0999327887291224,2.116248956608766,2.1320510080632804,2.1472985173202863,2.161944993328464,2.1759370275363534,2.1892132431013693,2.201702990505626,2.2133247148698265,2.223983892054099,2.2335703894567907,2.2419550460297155,2.2489851723467456,2.2544785248356365,2.2582150715960783,2.2599254723361186,2.2592745099573057,2.2558364676876064,2.2490570623112487,2.238191667589599,2.2221987425533647,2.199540759303506,2.1677697603200876,2.1225166094924335,2.054294288204495,1.9306890373019165,1.9820206811720562,2.2099711857627207,2.385843406392983,2.541117522500279,2.6848837508864123,2.821271021935187,2.9525614402890556,3.0801694500942913,3.205040960214168,3.327843911501985,3.449069680899317,3.5690915078273067,3.6882002799183393,3.806627542173899,3.9245608883014027],[1.9467329056608995,1.869252659015808,1.791284118709116,1.7126408677248564,1.6330929179539861,1.552351493708994,1.470046307165824,1.3856902590386118,1.2986218949203419,1.207905729241351,1.1121454129111181,1.0090938546810468,0.894702031968629,0.7601231640999568,0.5753953488017778,0.5507993686809077,0.7177691790891034,0.827282821630092,0.9134059431895751,0.9858778712625423,1.0491492230846557,1.1057033073305929,1.1570957874280448,1.2043785872473085,1.2483027592414069,1.2894268030269462,1.3281793303501908,1.364897619504071,1.399852522543936,1.433265207850218,1.465318791280073,1.4961666436867,1.5259384665439923,1.5547448266411703,1.5826806008476075,1.609827633322962,1.63625681272914,1.6620297149064969,1.6871999148542673,1.7118140433644147,1.7359126437815238,1.7595308702503731,1.7826990586309572,1.8054431938000925,1.8277852915097108,1.8497437087823596,1.8713333936112426,1.892566082225006,1.9134504501822585,1.9339922219350387,1.954194242137059,1.974056510788319,1.993576183235107,2.012747535025384,2.0315618906005417,2.0500075137319334,2.068069456426355,2.0857293616612607,2.1029652136847163,2.119751027619907,2.136056467606839,2.151846379500732,2.167080219957002,2.1817113581836853,2.195686219181548,2.208943227110234,2.221411493307837,2.233009173614699,2.2436413911614475,2.2531975791588605,2.2615480361330462,2.2685393912308047,2.2739885285949804,2.27767427984514,2.279325792925936,2.278605789544437,2.2750856579543792,2.268206898539156,2.2572184588457445,2.241068415003848,2.2182011035857747,2.186133215916848,2.1404141347614054,2.071304532624457,1.9447387626203019,2.0097387831452123,2.234870638847432,2.409853547120144,2.5646494102366013,2.708105008870714,2.8442693656049873,2.9753895716880194,3.102861976210329,3.2276220647415825,3.350331291688792,3.471476756337824,3.5914287465127352,3.710476037901035,3.8288486186117687,3.9467329056609],[1.9708721035644967,1.8934896008471043,1.8156299691145579,1.737109119304689,1.6577001404315292,1.577118426120901,1.494999507322535,1.4108647032272779,1.3240652972032536,1.2336862148212309,1.138366405661988,1.035926703130142,0.9224717409971952,0.7896150197868868,0.6101118972954984,0.5580239283077473,0.7314663242286328,0.8428191505931346,0.9298960728558863,1.0029722411162816,1.0666681900352804,1.1235402665758607,1.175181388454854,1.2226647241182655,1.266754436793292,1.3080176093930687,1.3468887366461428,1.3837092795429538,1.41875315430795,1.4522438305708258,1.484366188994258,1.5152749781023391,1.545100991289769,1.573955672136236,1.6019346094656357,1.6291202310787496,1.6555839079449164,1.6813876171114481,1.7065852690603314,1.7312237761631701,1.755343918619487,1.7789810498895686,1.802165673270368,1.8249239136758515,1.8472779030442559,1.8692460935402162,1.890843509458881,1.912081946196431,1.9329701226290465,1.953513791595421,1.9737158117974414,1.993576183235107,2.013092047206532,2.0322576508730226,2.051064275358398,2.069500125266478,2.087550176302114,2.105195976300671,2.1224153933239123,2.1391823024578707,2.1554662004055944,2.1712317337067963,2.1864381221619533,2.2010384533994616,2.214978816937336,2.228197235728262,2.2406223388029023,2.252171698360476,2.2627497255770868,2.272244976873046,2.2805266588536544,2.2874400229948186,2.292800188633863,2.296383686141092,2.2979165992920585,2.297057467096322,2.2933717948253363,2.2862924995659655,2.275055418091012,2.2585873819544724,2.235295473439514,2.202623345583159,2.155950463724448,2.0850016777639864,1.9519633222471413,2.044455331638933,2.264362494534362,2.4376232561487106,2.591482258685697,2.734326001621584,2.8700498511848673,3.000832973970931,3.128036420398995,3.2525752648982937,3.3750982241006993,3.496083978815367,3.615896998092568,3.7348218883064774,3.8530855604430645,3.970872103564497],[1.9969728830266287,1.9197360685243905,1.8420386738107415,1.763700039294939,1.6844977797760072,1.6041534092849183,1.522310980821433,1.438504108190321,1.352102611183303,1.2622209810645337,1.167548977917341,1.066004329621392,0.9539077500386346,0.8235028190914814,0.6509691031314527,0.5566884462252419,0.7415883774515497,0.8558755678267926,0.944441027231418,1.0184507656022808,1.0827989403860274,1.1401576456376132,1.192178258948863,1.239967062388891,1.2843085546739408,1.3257830820576317,1.3648342031098974,1.4018098076530672,1.4369885122636064,1.4705973107786448,1.5028237827354167,1.5338247809474432,1.5637327648871266,1.5926605147353785,1.6207047037639373,1.6479486481435217,1.6744644525103225,1.700314703871451,1.7255538224949065,1.7502291484413086,1.7743818215271183,1.7980474977293373,1.8212569344002432,1.8440364688788335,1.8664084093084483,1.8883913521157714,1.9100004372724058,1.9312475498629214,1.9521414744193235,1.9726880068024915,1.9928900270045116,2.012747535025384,2.0322576508730226,2.051414578686547,2.0702095339339532,2.0886306315306706,2.106662731505096,2.124287237430546,2.1414818411636807,2.158220205365502,2.174471572683733,2.190200287141371,2.2053652089219558,2.219918997964868,2.233807234002108,2.2469673300265636,2.2593271814020452,2.2708034719578336,2.2812995284221906,2.2907025706142043,2.298880139061473,2.305675380950475,2.3109007167439763,2.314329152604847,2.315682071956622,2.314611584976971,2.310674133095962,2.303289370059974,2.2916727971527644,2.2747181323052197,2.250773997925513,2.2171682999586904,2.169006880958106,2.095123730986903,1.950627840164636,2.085312537474887,2.298250293838957,2.4690592651901495,2.621559885176947,2.763508573876937,2.89858461742817,3.028870287950981,3.155675825362038,3.2798867383971917,3.4021332072647166,3.522881618159845,3.642487918082818,3.7612305930026606,3.8793320281203503,3.9969728830266287],[2.02502693020611,1.9479826567795913,1.8704995053012474,1.792401275254907,1.7134714527807124,1.633439470929377,1.5519603740446308,1.4685835711354627,1.3827025797413588,1.2934694500037411,1.1996379388345582,1.0992463283520866,0.9888790648650212,0.8615220000772472,0.6970012714105871,0.542486358079487,0.7476862028991103,0.8662595035949083,0.9569268403511278,1.0322352937449153,1.0974831363586346,1.1555094193747584,1.2080486433700797,1.256253717956572,1.3009375747429754,1.3426990052343584,1.3819941198166545,1.4191796807370083,1.4545407732767064,1.4883092299132747,1.520676328245233,1.5518017994755111,1.5818203786556357,1.6108466691635939,1.63897882182916,1.6663013620072338,1.6928873920584366,1.7188003278282507,1.7440952818172542,1.7688201744788274,1.793016633376443,1.8167207245896044,1.839963549729789,1.8627717338764282,1.885167823774717,1.9071706111451396,1.9287953925198118,1.9500541743482969,1.970955829994481,1.9915062135221067,2.0117082337241268,2.0315618906005417,2.051064275358398,2.0702095339339532,2.0889887929633213,2.1073900459969392,2.1253979965026906,2.1429938527600925,2.160155068023948,2.1768550172148267,2.1930625987212515,2.208741746463719,2.2238508328787554,2.238341937512982,2.2521599478658194,2.2652414480917864,2.277513335830261,2.288891085726343,2.2992765469502583,2.3085551161240208,2.316592058196103,2.323227641963575,2.3282705898279175,2.331489069311604,2.3325979951333484,2.331240605046006,2.3269607886636425,2.319159754481191,2.3070245708899098,2.2894023282778266,2.2645585260681473,2.2296541130784004,2.1793908167262215,2.1012215564344636,1.936425752018881,2.1313447057540214,2.336269474824723,2.5040305800165363,2.6548018839076413,2.795597534794154,2.929833086367377,3.0594702565090364,3.1857552883071794,3.3095361316203893,3.431419268909175,3.55185529116455,3.6711891540427857,3.7896914244931663,3.9075786163755515,4.02502693020611],[2.055023315315138,1.978217015945005,1.9009983975495193,1.82319665723064,1.744602368104402,1.6649544898288227,1.5839212362829054,1.5010708490368159,1.4158249270444456,1.3273796753188951,1.2345632896675494,1.1355521731693927,1.0272259538848374,0.9033670477720127,0.7473064383738044,0.49914602606236175,0.7490280572098511,0.8736832046086502,0.9671888353038218,1.0442148964451574,1.1106388825328017,1.1695314606916998,1.2227402216391996,1.271480688016886,1.3166036134936285,1.3587321511870694,1.3983388967052575,1.4357922126338252,1.4713856104890695,1.5053572060965732,1.5379030666460527,1.5691866429164258,1.599345604819151,1.6284969031442635,1.6567405882746564,1.6841627380508641,1.7108377343330632,1.7368300547876308,1.7621956979195286,1.7869833264371409,1.8112351912272873,1.8349878821331789,1.8582729401928026,1.8811173575906,1.9035439853570089,1.9255718641787571,1.9472164901165292,1.9684900242563772,1.9894014531258726,2.0099567049241607,2.030158725126181,2.0500075137319334,2.069500125266478,2.0886306315306706,2.1073900459969392,2.125766207579231,2.1437436202168625,2.161303243223106,2.1784222255675223,2.1950735750656714,2.2112257506795654,2.2268421625659935,2.241880559838136,2.2562922797876084,2.27002132390945,2.283003214537283,2.29516356981093,2.306416311889858,2.3166613903911735,2.3257818545248408,2.3336400343794015,2.340072479175938,2.3448831217247346,2.347833846200207,2.3486311410860594,2.346906643796659,2.342187758723957,2.333851332750311,2.321046612206851,2.302558074451994,2.2765381287683897,2.2399161080310943,2.186814517739963,2.1025634107452045,1.8930854200017557,2.1816498727172386,2.378114522519488,2.5423774690363525,2.6911077287249476,2.830522885627145,2.9637433116825314,3.0925926038121228,3.2182425662085334,3.3414969938586636,3.462934287808621,3.58298620648824,3.701984536018519,3.8201903167414386,3.937812975540965,4.055023315315138],[2.0869486202142067,2.010424008015924,1.9335181393534693,1.8560664409797556,1.7778676376017684,1.6986716026656448,1.6181615648982701,1.535927111887271,1.451421440332101,1.3638899758746952,1.272242863310347,1.174805914019724,1.068769628644374,0.9487169674916649,0.8011261292705144,0.5470783867593938,0.7443972530838383,0.8777267487226866,0.9749978271102637,1.0542389352923094,1.1221566233235811,1.1821388460400644,1.236184207328946,1.2855904359028596,1.3312573454803247,1.3738394028081455,1.4138302429392273,1.4516129492663907,1.4874916762445185,1.5217124450740185,1.554477329062339,1.585954430129147,1.6162850791124401,1.6455891487184038,1.673969049368702,1.7015127845720184,1.7282963209474762,1.7543854496177615,1.779837263812208,1.804701342423315,1.829020705032977,1.8528325868901725,1.876169070138741,1.899057598739438,1.9215213979946402,1.9435798146845091,1.9652485900909547,1.9865400752920128,2.0074633958202943,2.02802457092461,2.04822659112663,2.068069456426355,2.087550176302114,2.106662731505096,2.1253979965026906,2.1437436202168625,2.1616838613657006,2.179199373169044,2.196266930324516,2.212859088871361,2.228943766665739,2.2444837284586727,2.2594359546682665,2.273750866402022,2.2873713704306042,2.3002316756313284,2.31225581538507,2.3233557861831473,2.3334291776038945,2.342356116941127,2.3499952733568468,2.356178544931387,2.3607038583573,2.3633251924341767,2.3637383927071354,2.361560375783355,2.35629750660993,2.347295318440057,2.3336539975552157,2.314075815242773,2.286562167615542,2.247725099837536,2.1908580618539997,2.0979326066191915,1.9410177806987878,2.2354695636139486,2.4234644422391396,2.583921143795889,2.7303614695752785,2.868202459269943,3.0002536122383314,3.1281891170997786,3.253098829058988,3.3757373224740284,3.496651400645443,3.6162514759856057,3.7348543197676345,3.852710058545388,3.9700199676118837,4.086948620214207],[2.12078709129402,2.0445858929635454,1.9680386042301017,1.890987595687554,1.8132406424343839,1.734559679074152,1.6546444362577715,1.5731078048010327,1.489437190183513,1.4029307424468214,1.3125851624916824,1.2168810104042234,1.1133214630649646,0.9972555780370405,0.8578588664699953,0.6500694785105396,0.7316076988248181,0.8777723788189615,0.9800380990267112,1.062106592744318,1.1318931522170226,1.1932220097272135,1.2482926776906094,1.2985099288421864,1.34483649747059,1.387966558005413,1.4284201911168761,1.4665988539157153,1.5028199086631682,1.5373391402545744,1.5703660100753332,1.602074321665764,1.6326098802835922,1.662096120593839,1.6906383235083633,1.718326830041521,1.745239527117123,1.7714437949391237,1.7969980493590576,1.8219529748300596,1.8463525175159843,1.8702346898928026,1.8936322251825966,1.9165731105427817,1.9390810210008835,1.9611756709419106,1.9828730960164047,2.00418587529057,2.0251233010552,2.045691501765885,2.0658935219679053,2.0857293616612607,2.105195976300671,2.124287237430546,2.1429938527600925,2.161303243223106,2.179199373169044,2.1966625282129,2.213669033327146,2.2301909013543684,2.2461953990724837,2.261644514005522,2.276494299989629,2.2906940725716685,2.304185415900107,2.3169009497709894,2.3287627872605055,2.3396805873542994,2.3495490691405116,2.358244797954121,2.3656219685374027,2.371506777350037,2.3756897630066245,2.3779151406118255,2.377865547904403,2.3751395277736203,2.369216999549257,2.3594037888017203,2.3447371612423646,2.323812344136215,2.2944298250675503,2.2527653717539837,2.1909036919502745,2.0851430523601717,2.0440088724499335,2.29220230081343,2.472003052784516,2.6284729782164797,2.772436565959778,2.9085447584512787,3.0392943788104576,3.1662048669511904,3.2902795219727494,3.41222019383353,3.53253947705395,3.6516244808182217,3.769775474475433,3.887230523422021,4.004181852559506,4.12078709129402],[2.1565208137120635,2.0806825401370634,2.0045370099235327,1.927934126810269,1.850691440948506,1.772583846315309,1.6933286951835067,1.6125635774541407,1.5298118232017224,1.444426306656005,1.3554921972459957,1.2616449137334036,1.1606909419828295,1.0486854110241437,0.9170418928334264,0.7370115104179393,0.7060461604424748,0.8728804656427736,0.9818713983095688,1.0675509469753295,1.1396628868144016,1.2026413034196035,1.2589548741552041,1.310147961154994,1.357263818966673,1.4010467338312953,1.442049805025687,1.48069723528635,1.5173226242838664,1.5521936912971501,1.5855288846568323,1.6175089148236186,1.648284988098803,1.6779848255048817,1.7067171529059304,1.7345751099747628,1.7616388779820538,1.7879777322306882,1.813651663317832,1.8387126700961405,1.8632057989296298,1.887169984111068,1.9106387302968428,1.9336406676982534,1.9562000033453,1.9783368862057662,2.0000676997495392,2.021405292313811,2.042359153078656,2.0629355394087816,2.083137559610802,2.1029652136847163,2.1224153933239123,2.1414818411636807,2.160155068023948,2.1784222255675223,2.196266930324516,2.213669033327146,2.2306043275454117,2.2470441827680134,2.262955094338565,2.2782981279642964,2.2930282372811934,2.307093423436599,2.3204336958333487,2.3329797791685567,2.3446514921715487,2.35535569516951,2.364983662298366,2.3734076725356203,2.3804765195799784,2.3860094929707354,2.3897881443772593,2.3915447545206363,2.390945723730285,2.387566849269703,2.3808550318620645,2.370065985266315,2.354156454934755,2.331582078733594,2.2998741792985617,2.2545986710368413,2.1860117787740867,2.059581513977828,2.1309509043573334,2.3513853271768608,2.5234328857716193,2.6758424571343444,2.817200469288958,2.9514517932055915,3.0807899430196413,3.2065794999694,3.329735294625858,3.450904452759265,3.570563644295107,3.689075279332344,3.806722005598148,3.923728929115452,4.040278499733024,4.1565208137120635],[2.194129902693641,2.118691659171199,2.042988200158618,1.9668774241292275,1.8901872047295294,1.812706044535681,1.7341696755271756,1.654241240271596,1.5724808648434392,1.4882967727743157,1.4008621567822224,1.3089631193314821,1.2106919242705931,1.1027356843197569,0.9783237163512517,0.8182133926227091,0.6535613070045566,0.8615305861128155,0.9798753271450351,1.0702141538990215,1.145224997455258,1.2102192550645525,1.2680320716280846,1.3203915121212928,1.368444361315123,1.4129982518905537,1.4546474836162264,1.4938443516773479,1.5309423443233505,1.5662236989382732,1.599917733712309,1.632213472394806,1.663268594829996,1.6932159408896525,1.722168337424602,1.7502222464592632,1.7774605662632015,1.8039548114858377,1.8297668299617034,1.8549501681046858,1.8795511657037074,1.9036098393336702,1.9271605983240652,1.9502328262450983,1.9728513528434488,1.995036835396645,2.0168060639513605,2.0381722014477694,2.0591449670138466,2.079730768527102,2.0999327887291224,2.119751027619907,2.1391823024578707,2.158220205365502,2.1768550172148267,2.1950735750656714,2.212859088871361,2.2301909013543684,2.2470441827680134,2.263389549542091,2.27919259234711,2.294413294608168,2.309005316536343,2.322915111717747,2.3360808323178492,2.3484309636872283,2.359882607556319,2.370339301900703,2.3796882198695535,2.387796521591097,2.3945065272211012,2.3996292130102193,2.402935260768257,2.4041424331111756,2.4028972417895433,2.398747391618153,2.3910985828283637,2.379143182739196,2.361734406579704,2.3371441893744502,2.302537386222254,2.252602599872308,2.1746618992441284,2.00709666053991,2.212152786562103,2.412667150694686,2.5774831590672322,2.7258434394221083,2.864518674887037,2.9968217527418184,3.124660409137952,3.2492485416111165,3.3714129574433134,3.491745433102934,3.610685842515479,3.7285710431133676,3.845665302917107,3.962180119350537,4.07828761876716,4.194129902693641],[2.233592707429328,2.1585890446427904,2.0833649411242976,2.007786625055862,1.9316926694138434,1.854885594194854,1.777119926078157,1.6980847104429846,1.6173769783757201,1.5344597319887825,1.4485917965310167,1.35870252799763,1.2631471447795306,1.159165647211871,1.041437975564519,0.896696618725508,0.6480884877694929,0.8409908969044468,0.9731305426884319,1.0696072424970589,1.148263948430604,1.2157293767796618,1.2753503885628636,1.3291007584986902,1.378261817237093,1.4237218331644044,1.4661267364921227,1.5059635972674956,1.5436102814328159,1.579366677635263,1.6134752304619973,1.646134945262893,1.67751123639123,1.7077430337043153,1.7369480250385565,1.7652265977242527,1.792664850981776,1.819336931051622,1.84530686347387,1.8706300056947833,1.8953542085087265,1.9195207509042214,1.943165096042181,1.9663175040394767,1.9890035284573429,2.01124441690307,2.0330574312695915,2.0544560993954937,2.0754504070007784,2.096046936406746,2.116248956608766,2.136056467606839,2.1554662004055944,2.174471572683733,2.1930625987212515,2.2112257506795654,2.228943766665739,2.2461953990724837,2.262955094338565,2.27919259234711,2.2948724299372074,2.3099533281203346,2.3243874361021275,2.3381193964363214,2.3510851835828386,2.363210651301183,2.374409700370982,2.384581943461937,2.3936096927376402,2.4013540183407853,2.4076495059180916,2.4122971501196844,2.4150545063584046,2.4156216859870723,2.413620823063394,2.408564847540123,2.399807829205761,2.386461499673975,2.367244528294813,2.3401831403497964,2.301930474820291,2.245857815415704,2.15412221003576,2.0016238413048466,2.290636012664902,2.4757814099079534,2.6339131219593463,2.7782986599310457,2.9142580835531846,3.0445513924906127,3.1708233683524187,3.2941446551433975,3.415256427614702,3.534695683653915,3.652865392174652,3.7700765077976817,3.8865745038437405,4.002556860316217,4.11818500423875,4.233592707429327],[2.2748860230966907,2.200348828784063,2.125638225359486,2.0506289836415954,1.975170587660567,1.899079758813889,1.822129918979346,1.7440359165083525,1.6644311370071687,1.5828318011571345,1.4985784688924466,1.410734063383916,1.317891111414324,1.2177647571593977,1.1061820443875625,0.9737964863265107,0.7865288088439124,0.8053296857982065,0.9601934215133456,1.0650413728153572,1.14835902778341,1.2188795801274748,1.2806905295618685,1.3361021537513253,1.3865735476367536,1.4330968496330478,1.4763832509621921,1.5169631369317444,1.5552443843533685,1.5915484049294113,1.6261335219671962,1.6592107344858287,1.690954697291167,1.7215115800856977,1.7510048247346073,1.7795394476096544,1.8072053103345653,1.8340796433608246,1.8602290179578613,1.8857109038779105,1.9105749107697843,1.9348637845299532,1.9586142109752191,1.9818574658324102,2.0046199403437712,2.026923564645537,2.04878614572723,2.070221632696695,2.0912403188946715,2.1118489878612596,2.1320510080632804,2.151846379500732,2.1712317337067963,2.190200287141371,2.208741746463719,2.2268421625659935,2.2444837284586727,2.261644514005522,2.2782981279642964,2.294413294608168,2.3099533281203346,2.3248754826043263,2.33913014841133,2.3526598557891107,2.3653980334682405,2.3772674509972336,2.3881782467523642,2.398025404361874,2.406685481960576,2.414012309845984,2.4198312332122396,2.4239312530402373,2.426054046022654,2.4258782004571415,2.422995839532038,2.416876577939784,2.406809224458396,2.3918016406729796,2.370394731642626,2.340278219702602,2.2973646051385894,2.232920694240618,2.11846099892952,2.1400641623792658,2.3677358802659048,2.5405254787309968,2.692512231906873,2.833042626565839,2.966289618939471,3.094538064852043,3.2191954375207708,3.341198813774846,3.4612076336800692,3.5797056765551045,3.697059556793687,3.8135544260444045,3.9294168624294743,4.044830144551405,4.159944788380024,4.274886023096691],[2.3179853066876244,2.243943736833784,2.169777576184078,2.0953702365400613,2.0205821730213525,1.9452442884593981,1.8691487217079503,1.7920356370570245,1.7135736784642424,1.6333299507098058,1.5507217691331203,1.4649345721960612,1.374771675537381,1.278350945554385,1.1724006521348578,1.0502239341121398,0.8927256974643487,0.7343693878126346,0.9385689212531676,1.0555013864268321,1.144934345783526,1.2192867727850134,1.283772784939743,1.341178638811466,1.3932037216999906,1.4409762542304407,1.4852909867445283,1.526732797098183,1.5657467947868837,1.602680793804542,1.6378124146540274,1.6713671181301653,1.7035306268922004,1.7344577326501505,1.7642786958400969,1.79310399457477,1.821027912867087,1.848131294320072,1.874483683764865,1.900145011859703,1.9251669326979588,1.94959389384685,1.973463996959326,1.996809692042004,2.0196583376159136,2.0420326510605737,2.0639510675078148,2.085428021151852,2.1064741593509413,2.1270964971182664,2.1472985173202863,2.167080219957002,2.1864381221619533,2.2053652089219558,2.2238508328787554,2.241880559838136,2.2594359546682665,2.276494299989629,2.2930282372811934,2.309005316536343,2.3243874361021275,2.33913014841133,2.353181799370577,2.3664824583216326,2.3789625804333556,2.390541322102723,2.401124399316817,2.4106013339629073,2.4188418656049127,2.425691202532815,2.4309636220873703,2.4344336634737527,2.435823706189092,2.4347859362394777,2.4308752441294303,2.423506752003021,2.4118857095185366,2.394883896050854,2.3708019243001646,2.336853537702718,2.287824618750064,2.2112961939804396,2.0475007009439476,2.246261050999702,2.444163328051534,2.606744086478292,2.7530984203018596,2.8899231906888962,3.020490127751616,3.146681365092716,3.269693587073442,3.3903413552319197,3.5092073542287414,3.6267244792837086,3.743224086439196,3.8589660114051902,3.9741581153279406,4.088969495375997,4.203539696429744,4.317985306687625],[2.3628648926104443,2.2893453400539565,2.215751346509795,2.1419749582469243,2.0678875251393287,1.9933339320697305,1.9181246180256009,1.842024256228306,1.7647352232456752,1.6858726066380356,1.6049248019635813,1.5211880860357938,1.4336505893399107,1.3407679044114666,1.2399737280199514,1.1264018951844585,0.9883245461563797,0.7693852816033524,0.9031822666268776,1.0393885404351235,1.137171574738749,1.2164362462198786,1.2842343811367674,1.344055444833745,1.3979336617990008,1.447179608242814,1.492696903132469,1.5351399301723718,1.5750005062684438,1.6126591262592693,1.648417035733897,1.6825172389136425,1.7151587808197017,1.7465067626622912,1.7766995512845614,1.8058540857657197,1.8340698587971758,1.8614319532711274,1.8880133911426462,1.913876972193897,1.9390767278793632,1.9636590800022558,1.9876637695413655,2.011124603775759,2.034070057565386,2.0565237556948004,2.0785048565507265,2.1000283523893604,2.121105297577625,2.1417429731264437,2.161944993328464,2.1817113581836853,2.2010384533994616,2.219918997964868,2.238341937512982,2.2562922797876084,2.273750866402022,2.2906940725716685,2.307093423436599,2.322915111717747,2.3381193964363214,2.3526598557891107,2.3664824583216326,2.379524404251721,2.3917126716243056,2.4029621775471877,2.413173429328958,2.4222294878904087,2.42999198638839,2.436295823612685,2.4409419545420974,2.4436873749553127,2.444230839263281,2.4421918526274187,2.437078598141804,2.428236692102031,2.414762515540816,2.3953454922478787,2.3679513977350295,2.329090766657941,2.271711772758356,2.1759095393541497,2.0825165947346655,2.341859899691733,2.5203412891238526,2.6743171623633857,2.815515379158942,2.948802104491426,3.0767436415913485,3.2008843979231774,3.322236243001672,3.4415029000133526,3.559195973400023,3.6757003756013593,3.791313730049528,3.9062713635231665,4.020762837034804,4.134943265701714,4.248941299649917,4.362864892610444],[2.4094982044299043,2.33652430201654,2.263527006715057,2.1904068992038344,2.117046028599761,2.0433029095989377,1.9690056677069196,1.8939424255389485,1.8178474484548892,1.7403805279699622,1.6610950981879549,1.579386549700528,1.4944033443098643,1.4048820134193116,1.308807497024481,1.202601506449038,1.0786580544495883,0.9131422003258024,0.839516729053525,1.013914616835922,1.1238446418160442,1.2096130777280643,1.281593870654612,1.344378845545804,1.4004879048827275,1.4514832881279163,1.4984137116871776,1.542023828689356,1.5828649156494772,1.621358413813332,1.6578347875542503,1.6925585059395123,1.725744767147125,1.7575710763070094,1.788185488924856,1.8177126217872912,1.8462581261697601,1.8739120753828507,1.900751568821776,1.9268427593404143,1.9522424484794652,1.9769993523990053,2.001155112869804,2.0247451078043417,2.047799101687228,2.0703417660476378,2.092393092587966,2.1139687159272347,2.1350801585754873,2.155735007334333,2.1759370275363534,2.195686219181548,2.214978816937336,2.233807234002108,2.2521599478658194,2.27002132390945,2.2873713704306042,2.304185415900107,2.3204336958333487,2.3360808323178492,2.3510851835828386,2.3653980334682405,2.3789625804333556,2.3917126716243056,2.4035712076458773,2.4144481151874824,2.424237742973676,2.4328154742178323,2.44003325341426,2.445713575433038,2.44964124209616,2.451551784336346,2.451114737780265,2.447908661182127,2.441382278026906,2.4307909351857577,2.415085916252875,2.392704981765723,2.3611282292432154,2.3157638337352364,2.2462378491591544,2.112244001780797,2.2262735134571154,2.4321934079849417,2.596540900388432,2.743150931367915,2.879629488166787,3.0095548594613795,3.1349421052560826,3.2570546941475507,3.3767441643335987,3.4946151252225666,3.6111141427106657,3.7265814252826783,3.8412827075787357,3.9554298669835988,4.069194777991713,4.182718925906976,4.296120261612501,4.409498204429904],[2.457857959578186,2.3854506144275267,2.313071417209639,2.240629301700756,2.168016719699783,2.0951053377825453,2.0217401989932515,1.9477316276185923,1.872843717865105,1.7967774732130555,1.7191452250299255,1.639430127157742,1.5569185380535544,1.470579280947644,1.378827977044111,1.27900628676612,1.165993310398275,1.0270437260734346,0.7895026291836363,0.9732971746577603,1.1029688189839852,1.19777763534481,1.2751922056846063,1.341683088834604,1.4005134393889378,1.4536063695900678,1.502209693939475,1.5471880362651806,1.5891698010209396,1.6286285384293364,1.6659313284666817,1.7013691997355604,1.7351771264010734,1.7675476633813374,1.7986405312442415,1.8285895293288963,1.8575076320926422,1.8854908170522182,1.912620986350769,1.9389682270587585,1.9645925798488446,1.9895454357342133,2.0138706467406866,2.037605413005066,2.0607809923150606,2.0834232662736047,2.105553188612422,2.1271871347181612,2.1483371665041733,2.169011222899349,2.1892132431013693,2.208943227110234,2.228197235728262,2.2469673300265636,2.2652414480917864,2.283003214537283,2.3002316756313284,2.3169009497709894,2.3329797791685567,2.3484309636872283,2.363210651301183,2.3772674509972336,2.390541322102723,2.4029621775471877,2.4144481151874824,2.4249031575068676,2.4342143300480044,2.4422478334717805,2.4488439472103076,2.4538101163454695,2.4569113667121645,2.4578566697078084,2.4562789453560896,2.4517046434344243,2.4435053594890577,2.430816469691968,2.412390159541675,2.3863033167957175,2.3492927868599613,2.2948880109031773,2.2056204069809926,2.0622299019109134,2.340175039204748,2.5195286639336283,2.672945680705514,2.813171411387545,2.945326755695119,3.0720700532050693,3.1949856827132965,3.3151048209895215,3.4331411095766917,3.5496113946327825,3.664903344790309,3.7793159565690098,3.8930851357623433,4.006400558083621,4.119417180488635,4.232263336401559,4.3450465740234865,4.457857959578186],[2.5079163643855877,2.4360938194621937,2.364351082288157,2.2926051898593123,2.220758617281324,2.148695605947409,2.0762772313612192,2.0033346424349965,1.9296595754757555,1.8549906770749336,1.7789931399918815,1.701227189976133,1.621096961794466,1.5377625005193194,1.4499762170539277,1.3557457054892068,1.2515262089163208,1.1297592574958908,0.96657282714072,0.900122789659587,1.0709185261314325,1.1793166335425005,1.2640885879300625,1.33533634514836,1.3975475585978434,1.4531896271250602,1.5037940092739768,1.5503895179411886,1.5937070041425698,1.6342876485106277,1.672545183483831,1.708803971449448,1.7433234979126127,1.776314775611682,1.807951703785378,1.83837915711509,1.8677188838744128,1.896073894266312,1.9235317821058997,1.9501672761285578,1.9760442237179352,2.0012171487372052,2.0257324842302022,2.049629552758808,2.0729413475887077,2.0956951540120787,2.1179130399879034,2.1396122377928015,2.1608054327017765,2.1815009703036057,2.201702990505626,2.221411493307837,2.2406223388029023,2.2593271814020452,2.277513335830261,2.29516356981093,2.31225581538507,2.3287627872605055,2.3446514921715487,2.359882607556319,2.374409700370982,2.3881782467523642,2.401124399316817,2.413173429328958,2.424237742973676,2.4342143300480044,2.4429814422783487,2.45039420498332,2.4562787189241955,2.460423971362619,2.462570476793456,2.4623938728294386,2.459480427032098,2.453288958768926,2.44308861702405,2.4278505889008737,2.406043415855431,2.3751996990411737,2.3308317850576517,2.2628377180506245,2.1324460219828194,2.239300099867995,2.442890570627204,2.605061562451674,2.749685099428601,2.884319651397362,3.012509975266795,3.136248476945981,3.2567827455316882,3.3749527359514775,3.4913543134385696,3.6064272522434333,3.7205063596067136,3.833852988936978,3.946675403927207,4.059142455665162,4.171393068647191,4.2835430014800755,4.395689779058154,4.507916364385588],[2.5596452973130814,2.4884232162971536,2.417332382824621,2.34629763125902,2.275231015487827,2.2040287005798223,2.132566829212708,2.0606959204300503,1.9882331143231973,1.9149511629487557,1.8405623384967074,1.764694079535047,1.6868505490802477,1.6063487136102026,1.5222047895003716,1.432914146492816,1.3359698434846297,1.226599371004336,1.0932154531582836,0.8782861972002833,1.0194747969425875,1.1514714348287471,1.2468595546335384,1.3244466552082308,1.3909656389777747,1.4497630579571514,1.5027948004276277,1.5513229807209123,1.5962186629892672,1.6381129903735938,1.6774803783795469,1.7146877718636886,1.750025506300056,1.783727538316653,1.815985207209154,1.8469568883592462,1.8767749424358633,1.9055508289124021,1.9333789397154093,1.9603395192195125,1.9865009180623192,2.0119213517351664,2.036650284323996,2.0607295235568843,2.0841940896676356,2.107072903908161,2.129389330543692,2.1511615973503746,2.1724031130086385,2.193122694667806,2.2133247148698265,2.233009173614699,2.252171698360476,2.2708034719578336,2.288891085726343,2.306416311889858,2.3233557861831473,2.3396805873542994,2.35535569516951,2.370339301900703,2.384581943461937,2.398025404361874,2.4106013339629073,2.4222294878904087,2.4328154742178323,2.4422478334717805,2.45039420498332,2.4570962133707632,2.462162519338436,2.465359166258335,2.466395818656422,2.464905531676136,2.4604138898118215,2.452289749922577,2.4396620478561415,2.421268669280805,2.3951537259153017,2.3579706657446495,2.3029865863438985,2.2113939888617793,2.1106094295235156,2.3659427258855583,2.539730684135649,2.689505197019983,2.82685354043221,2.9565482238438063,3.081096188357678,3.202002064231763,3.320249635090602,3.4365219344563034,3.551314799312392,3.6650007910908746,3.7778676376017675,3.8901425867884667,4.00200849855962,4.113614853871664,4.225085510046899,4.33652430201654,4.448019175893114,4.559645297313081],[2.613016478795668,2.542408050210165,2.4719817862522735,2.4016699689268135,2.33139373780024,2.261060479266783,2.1905603894365315,2.1197618696925264,2.048505234956429,1.9765939179514178,1.9037818421192545,1.8297547181407317,1.754101282710418,1.6762670036299592,1.5954751865426704,1.5105822776599886,1.4197849591795995,1.3199376447889422,1.2045676085444006,1.0550095071718557,0.9161875696308163,1.1087064371152315,1.22116109215703,1.3076842467159866,1.3798909724412998,1.442693189844705,1.4987252558109787,1.5495974046780776,1.5963800779093458,1.6398278531013188,1.6804961421989963,1.7188074933864348,1.755091812267729,1.789612052257529,1.8225813209476815,1.8541746675556738,1.8845374409338445,1.913791360554408,1.9420390173141113,1.9693672684952162,1.9958498360311698,2.0215493188640226,2.0465187661102084,2.070802914977632,2.094439168168951,2.1174583651320766,2.139885387008049,2.1617396245669855,2.183035330555387,2.2037818718520787,2.223983892054099,2.2436413911614475,2.2627497255770868,2.2812995284221906,2.2992765469502583,2.3166613903911735,2.3334291776038945,2.3495490691405116,2.364983662298366,2.3796882198695535,2.3936096927376402,2.406685481960576,2.4188418656049127,2.42999198638839,2.44003325341426,2.4488439472103076,2.4562787189241955,2.462162519338436,2.466282240861182,2.4683749300777844,2.468110681384147,2.465066946596215,2.4586883137689868,2.448220205305928,2.4325921797436947,2.4101940027443303,2.3783913174230573,2.332272203268141,2.260221588630383,2.108106761550008,2.287332739495088,2.477294881271675,2.6330689579202553,2.7733203127149526,2.9045216715993827,3.029818620886105,3.151014478377434,3.2692527978619332,3.3853102736962866,3.4997414380788507,3.612957554315054,3.7252729117241064,3.8369335868642436,3.9481361470122893,4.059040277246582,4.169777576184078,4.280457847714692,4.391173705444192,4.502004009806125,4.613016478795668],[2.6680016266055895,2.598017683252714,2.5282660330739253,2.458686023414415,2.3892073529478677,2.319747896113657,2.2502108674801047,2.1804810659806986,2.110419809121061,2.039857956546895,1.9685860686262242,1.8963401280333563,1.8227801229838998,1.7474566096863087,1.669755870420036,1.5888041981285728,1.5032867323924908,1.4110643377232217,1.3082200770026406,1.185948809844926,1.0118655980289146,1.0356478535293931,1.1825811382496703,1.282905630175338,1.363026155046247,1.4310922312588872,1.4909283763130474,1.5446994615807432,1.5937738849341236,1.6390824089233722,1.681292120267396,1.7209001826030368,1.7582884591876278,1.793757304695952,1.8275474900828432,1.8598549895744523,1.8908412781581394,1.9206406974823103,1.9493658451995193,1.9771115940983608,2.0039581377527127,2.029973329101277,2.055214494923818,2.0797298543148646,2.1035596323026184,2.126736934305839,2.149288429200063,2.171234875862945,2.1925915185528,2.2133683692547703,2.2335703894567907,2.2531975791588605,2.272244976873046,2.2907025706142043,2.3085551161240208,2.3257818545248408,2.342356116941127,2.358244797954121,2.3734076725356203,2.387796521591097,2.4013540183407853,2.414012309845984,2.425691202532815,2.436295823612685,2.445713575433038,2.4538101163454695,2.460423971362619,2.465359166258335,2.4683749300777844,2.469170908146184,2.4673652372062005,2.4624607536209924,2.453790370671652,2.4404233258079966,2.420991221157877,2.3933291853492773,2.353612700882409,2.2936922493607814,2.1871630050445448,2.2037847899481067,2.4182720421681583,2.5809473497299145,2.7241956508545346,2.856822085927844,2.982743592067967,3.10409930476347,3.222204084433784,3.337931638135415,3.451895683588911,3.56454566458582,3.6762215929105313,3.7871874858887384,3.8976527831524157,4.0077866250558625,4.117727694093455,4.2275911913317055,4.3374739022022935,4.447457952265845,4.557613642848674,4.668001626605589],[2.7245725961027194,2.6552217460656946,2.5861522998394326,2.5173102655209334,2.44863335426606,2.3800491818302874,2.311472947664445,2.242804395243574,2.173923764180829,2.104686296704517,2.0349146185726923,1.9643879027253153,1.8928259953778872,1.8198653310848498,1.74502080030791,1.667622108972822,1.5867001952374924,1.5007657135292662,1.4073202258456798,1.301556039583575,1.1715488626162285,0.951118790799798,1.1204848979526891,1.2462134801236866,1.3383014718617052,1.4136484973333647,1.4784813595347337,1.5359335562574268,1.5878494454365326,1.6354245514082497,1.6794864493274126,1.7206359339093997,1.7593251115857151,1.7959038101267892,1.8306487404495384,1.8637826562375743,1.8954874090875522,1.9259131170368653,1.9551847685657748,1.983407081675667,2.010668143382717,2.037042176145635,2.0625916655070995,2.0873690107305842,2.111417812157179,2.1347738763779214,2.1574659976473316,2.179516557843553,2.2009419755269857,2.221753025827695,2.2419550460297155,2.2615480361330462,2.2805266588536544,2.298880139061473,2.316592058196103,2.3336400343794015,2.3499952733568468,2.3656219685374027,2.3804765195799784,2.3945065272211012,2.4076495059180916,2.4198312332122396,2.4309636220873703,2.4409419545420974,2.44964124209616,2.4569113667121645,2.462570476793456,2.466395818656422,2.468110681384147,2.4673652372062005,2.463707379691078,2.4565363141234013,2.445024465348336,2.4279763090296833,2.4035474872323546,2.3686045021647355,2.3169205508307575,2.2315960090638,2.1026339423149496,2.3634680545354207,2.533879271906807,2.6800474985729537,2.8138970266605794,2.9402355487728458,3.061561502912216,3.179364234651344,3.2946128058323247,3.4079775105294026,3.5199434582808697,3.630874214532288,3.7410499330681533,3.8506914409485065,3.9599761124152906,4.069048705240203,4.178028979810086,4.287017192649898,4.396098144308812,4.505344219031352,4.614817705661655,4.724572596102719],[2.782701505145643,2.7139902708947172,2.6456083391000207,2.5775079608763347,2.5096343047951777,2.441923982403522,2.374303164066313,2.3066851384572056,2.2389671029925746,2.1710258697271207,2.1027120067060485,2.033841662850377,1.964184858196321,1.8934481868380864,1.8212483089759235,1.7470694659130186,1.6701914794011863,1.5895586655088674,1.5035171887991976,1.409212347417865,1.3008802766718106,1.1626453347480787,0.9800803371041439,1.1888416975282827,1.302014803061386,1.3882736960476803,1.460016162471707,1.5223170758153164,1.5778555443548905,1.628253485840573,1.6745819657422047,1.717592199121467,1.757834824605429,1.795727206162772,1.831594043445182,1.8656931984777598,1.8982328295007673,1.9293831584232475,1.9592847883937725,1.9880547258772603,2.0157908291718356,2.042575149536392,2.0684764743197337,2.0935522823051245,2.117850256953716,2.1414094601453932,2.1642612395363336,2.1864299219847174,2.207933330624744,2.228783152144725,2.2489851723467456,2.2685393912308047,2.2874400229948186,2.305675380950475,2.323227641963575,2.340072479175938,2.356178544931387,2.371506777350037,2.3860094929707354,2.3996292130102193,2.4122971501196844,2.4239312530402373,2.4344336634737527,2.4436873749553127,2.451551784336346,2.4578566697078084,2.4623938728294386,2.464905531676136,2.465066946596215,2.4624607536209924,2.4565363141234013,2.4465424130417595,2.4314079849062256,2.4095111119666566,2.37817268594667,2.3323178333644163,2.2595487682353537,2.091191448215255,2.31416048626323,2.4927994685910027,2.641535579741097,2.776244461526471,2.9026899786401805,3.0237268329365397,3.1410088598524126,3.2555917433193575,3.3681956615855615,3.479336373347836,3.589397218405932,3.6986716026656445,3.807389506090757,3.915734779760252,4.023856855628923,4.1318789216420715,4.23990378038332,4.348018143179015,4.456295839664214,4.56480025829194,4.6735862304906775,4.782701505145644],[2.8423608437849275,2.774293806264058,2.7066025973032137,2.639245288092415,2.572173950906378,2.5053334606875612,2.4386599784759775,2.3720790082705054,2.3055028726352282,2.2388273817814253,2.1719273604201823,2.104650518854569,2.0368088588931164,1.9681662938512359,1.8984202384177857,1.8271731666892457,1.7538865744601972,1.6778019785676839,1.5977947232383873,1.5120744387333223,1.417474553672917,1.3073234692212392,1.1612539346603636,1.0771493864503323,1.24609450281651,1.3512435608955013,1.4333434276906982,1.502381385805673,1.5627211162193566,1.6167416370655077,1.6659115827928646,1.7112135662942394,1.7533431827411146,1.792813760365431,1.8300163190934635,1.8652561519216793,1.8987762938087356,1.9307732011385872,1.9614075813761889,1.9908120821159805,2.0190968769298734,2.046353800942916,2.0726594599763213,2.0980775957310374,2.1226608995025122,2.146452408009736,2.169486575329835,2.1917900876237617,2.21338246798892,2.234276504633616,2.2544785248356365,2.2739885285949804,2.292800188633863,2.3109007167439763,2.3282705898279175,2.3448831217247346,2.3607038583573,2.3756897630066245,2.3897881443772593,2.402935260768257,2.4150545063584046,2.426054046022654,2.435823706189092,2.444230839263281,2.451114737780265,2.4562789453560896,2.459480427032098,2.4604138898118215,2.4586883137689868,2.453790370671652,2.445024465348336,2.4314079849062256,2.411472294896582,2.3828383771856476,2.341142550794491,2.2763975331195403,2.1478564571574044,2.272365045771475,2.4588386207363904,2.609393745592109,2.7443976710565545,2.870521995965661,2.990933291698997,3.1074219279955506,3.2211125606286397,3.33276367276122,3.442913768598711,3.551960374044631,3.660206074410124,3.7678869563797783,3.8751910181450615,3.982270549402906,4.089250725442223,4.196235736051736,4.303313258667359,4.410557789290216,4.5180331668802935,4.625794516495133,4.7338897658600185,4.8423608437849275],[2.903523569147967,2.836103514087782,2.7691043119328818,2.7024894325265594,2.6362173075302566,2.5702403654012382,2.504503821815806,2.4389441463016492,2.373487093813085,2.308045142079124,2.242514102248232,2.176768555246774,2.1106555801685873,2.0439859299220684,1.9765212688838434,1.9079551049938843,1.8378831652461205,1.7657551109768088,1.6907909536028933,1.61182459320735,1.5269781085621812,1.432870595391752,1.3221479960018807,1.1703671926822974,1.142547032083829,1.2944826026643963,1.3945255343357603,1.4737474680947384,1.5408242432797876,1.5996934807468548,1.652544537929209,1.7007454578311807,1.7452190428518701,1.7866222921022596,1.825442017171798,1.8620500753235412,1.896737307172873,1.9297354311889725,1.961231735810677,1.9913792617446477,2.020304049272792,2.048110411086293,2.0748848375815223,2.100698929807914,2.1256116239779845,2.1496708874934223,2.1729150111907054,2.1953735851309912,2.2170682192390796,2.238013051394058,2.2582150715960783,2.27767427984514,2.296383686141092,2.314329152604847,2.331489069311604,2.347833846200207,2.3633251924341767,2.3779151406118255,2.3915447545206363,2.4041424331111756,2.4156216859870723,2.4258782004571415,2.4347859362394777,2.4421918526274187,2.447908661182127,2.4517046434344243,2.453288958768926,2.452289749922577,2.448220205305928,2.4404233258079966,2.4279763090296833,2.4095111119666566,2.3828383771856476,2.3440204838307093,2.2843815925633857,2.172850062386859,2.241074263389367,2.433259107112992,2.5843857469069036,2.7188973004813732,2.8441478255305825,2.9635182263301667,3.0788864241081217,3.191418518781474,3.3018944989332786,3.4108647032272774,3.5187334046695438,3.625807095320103,3.7323241108023284,3.838473698207828,3.94440877844276,4.0502547705807626,4.156115863473366,4.262079579391564,4.368220163381036,4.474601145914094,4.581277311314438,4.688296231124801,4.795699473683743,4.903523569147967],[2.966163186153432,2.8993912502373402,2.8330835894364403,2.7672086579092747,2.701730718188349,2.6366090719799367,2.571797105062692,2.507241089073244,2.4428786610849653,2.3786368697843177,2.314429628971954,2.250154345432573,2.185687372321862,2.1208777514851924,2.055538393614717,1.989433297361936,1.922258409986025,1.8536118108237116,1.7829449522400542,1.7094779020968587,1.6320398202568045,1.5487343672598222,1.456117720742136,1.3465806747250615,1.1936837798470967,1.1904493307710067,1.3348866430684363,1.4320516417035818,1.509485817259801,1.575264658949526,1.6331124332790892,1.6851174322689473,1.7325913407854343,1.776421950357383,1.8172427332264314,1.8555236921683202,1.8916240526872588,1.9258247390789256,1.958349374885573,1.98937839882097,2.0190588579511597,2.0475113802959415,2.0748352448741,2.101112130080873,2.126408918863837,2.1507798133151663,2.1742679305424804,2.1969064982819573,2.2187197323198755,2.2397234521340987,2.2599254723361186,2.279325792925936,2.2979165992920585,2.315682071956622,2.3325979951333484,2.3486311410860594,2.3637383927071354,2.377865547904403,2.390945723730285,2.4028972417895433,2.413620823063394,2.422995839532038,2.4308752441294303,2.437078598141804,2.441382278026906,2.4435053594890577,2.44308861702405,2.4396620478561415,2.4325921797436947,2.420991221157877,2.4035474872323546,2.37817268594667,2.341142550794491,2.2843815925633857,2.180348320669996,2.223986810150127,2.4172877454321307,2.5672288318532472,2.7002495187749735,2.8239590121759965,2.941801134420091,3.055672224967328,3.1667431239550248,3.2757937635213783,3.38337269130133,3.4898818279581514,3.5956252262326673,3.7008388874733766,3.805709900988128,3.91038922493155,4.0150005061479535,4.119646337852643,4.2244128062449615,4.32937286263845,4.434588869959734,4.540114556572187,4.645996536697154,4.75227550862836,4.858987209833301,4.966163186153432],[3.030253814866181,2.9641296297540274,2.898511465628225,2.8333723581806542,2.768681893019335,2.7044055995418486,2.640504205232596,2.576932709625102,2.5136392224361566,2.4505634891655372,2.387634996342948,2.3247705020235547,2.2618707657712687,2.1988161401736406,2.1354605042879427,2.071622715301856,2.007074225399559,1.9415205468803483,1.874572395908018,1.8056985448951643,1.7341439636720437,1.6587760085195096,1.5777625983121757,1.4877846263398735,1.381545103573992,1.2340878202511347,1.2233551128919098,1.3673066240286311,1.4636309646775474,1.5403216738819072,1.6054503974704897,1.6627192552695829,1.7141979622100982,1.7611839222342067,1.8045538434293418,1.8449323493271717,1.8827821466474857,1.918456246952516,1.952230113293319,1.984322423297699,2.0149090077797696,2.0441325058353597,2.0721092247433175,2.0989341131570924,2.1246844215744365,2.149422423227824,2.1731974435628296,2.196047366086221,2.2179997289383766,2.2390724897552854,2.2592745099573057,2.278605789544437,2.297057467096322,2.314611584976971,2.331240605046006,2.346906643796659,2.361560375783355,2.3751395277736203,2.387566849269703,2.398747391618153,2.408564847540123,2.416876577939784,2.423506752003021,2.428236692102031,2.4307909351857577,2.430816469691968,2.4278505889008737,2.421268669280805,2.4101940027443303,2.3933291853492773,2.3686045021647355,2.3323178333644163,2.2763975331195403,2.172850062386859,2.223986810150127,2.4118481338770223,2.558491697046944,2.688873709423287,2.810291160034661,2.926063155591236,3.038021777218397,3.1472996686352914,3.2546518600116614,3.3606095789349117,3.46556210924125,3.569803938631377,3.6735636149211155,3.7770222809227834,3.8803260575791096,3.983594592302544,4.086927125529173,4.190406899203834,4.294104426796819,4.398079962808354,4.502385397521647,4.607065731403173,4.712160236968533,4.817703384820144,4.923725589349988,5.03025381486618],[3.095770245425566,3.0302920780008584,2.965359950328666,2.9009510918854433,2.8370399278838763,2.7735976079398945,2.7105914314204242,2.647984140874187,2.585733045187568,2.5237889203116266,2.462094615579204,2.4005832646087364,2.339175956435751,2.2777786562568747,2.216278061299448,2.154535909709116,2.0923809807669937,2.029597540298515,1.965908107452723,1.9009467427005409,1.834215644584007,1.7650103286538903,1.6922803777687032,1.6143419766807088,1.5281886667439133,1.4273887555331406,1.2915793138944174,1.2387655480664952,1.3908618995484847,1.4886377225479295,1.5657339130036214,1.63091656994831,1.6880830188445948,1.739376749188764,1.7861275332790485,1.8292273303942888,1.8693079700862703,1.9068352044680317,1.9421627598119313,1.9755654049633367,2.0072601989899796,2.0374206884277215,2.066186696518954,2.0936712439836676,2.1199655365017347,2.145142606845461,2.1692599916818205,2.192361693815235,2.2144795973483187,2.2356344474855865,2.2558364676876064,2.2750856579543792,2.2933717948253363,2.310674133095962,2.3269607886636425,2.342187758723957,2.35629750660993,2.369216999549257,2.3808550318620645,2.3910985828283637,2.399807829205761,2.406809224458396,2.4118857095185366,2.414762515540816,2.415085916252875,2.412390159541675,2.406043415855431,2.3951537259153017,2.3783913174230573,2.353612700882409,2.3169205508307575,2.2595487682353537,2.1478564571574044,2.241074263389367,2.4172877454321307,2.558491697046944,2.685049047387779,2.8033914888798144,2.9165254801690415,3.026134836503199,3.133269975023773,3.2386353801799963,3.3427288534298283,3.445916334302347,3.5484753036485097,3.6506214956428824,3.7525261310043496,3.854327471587266,3.9561388201642913,4.058054211538799,4.160152556675263,4.262500721955245,4.365155858045904,4.4681671889961825,4.571577405919692,4.6754237662677145,4.779738970673322,4.884551869520585,4.989888037596819,5.095770245425566],[3.1626879815573803,3.0978528691009193,3.033602058007167,2.9699166014116627,2.9067753074530875,2.844154378520156,2.7820269752907887,2.7203626858549237,2.6591268738698473,2.598279870891344,2.5377759656162384,2.4775621250013833,2.417576356312155,2.357745580610831,2.2979828295793525,2.2381834861810797,2.178220143110707,2.1179354102979855,2.0571315857407213,1.995555355933904,1.9328742803612975,1.8686389819652836,1.8022188398360595,1.7326844181727448,1.6585706791202566,1.5773298419542567,1.4837641576180425,1.3632741366805656,1.2225045795283844,1.403313180780972,1.5058134614819936,1.5847974557933937,1.6508999586739428,1.7085330323745067,1.7600406905330912,1.8068463959071375,1.849890946793333,1.8898333910003493,1.9271551760265149,1.9622190754315505,1.995304798900812,2.0266316418319716,2.0563734857714175,2.0846690558137944,2.1116291105280887,2.137341572663009,2.1618752286458327,2.1852823985558643,2.2076008379330956,2.2288550421092284,2.2490570623112487,2.268206898539156,2.2862924995659655,2.303289370059974,2.319159754481191,2.333851332750311,2.347295318440057,2.3594037888017203,2.370065985266315,2.379143182739196,2.386461499673975,2.3918016406729796,2.394883896050854,2.3953454922478787,2.392704981765723,2.3863033167957175,2.3751996990411737,2.3579706657446495,2.332272203268141,2.2936922493607814,2.2315960090638,2.091191448215255,2.272365045771475,2.433259107112992,2.5672288318532472,2.688873709423287,2.8033914888798144,2.913329950947171,3.020154133480435,3.1247934722804898,3.2278785882571364,3.329858858467995,3.4310667234292986,3.5317554966460603,3.6321228801204737,3.7323262639227868,3.832493055358306,3.93272787146367,4.033117680556938,4.133735561575834,4.23464350725498,4.335894550637525,4.437534403026641,4.5396027328665465,4.642134176499955,4.745159145836926,4.848704480199542,4.952793977199086,5.05744882869688,5.162687981557381],[3.230983273718735,3.166787153017799,3.103211826156122,3.040241819242448,2.9778598949602206,2.9160467818259708,2.854780849820447,2.7940377191036623,2.7337897844984007,2.674005632933626,2.614649323446258,2.5556794886921,2.497048201748159,2.438699530001267,2.380567665428733,2.322574471532702,2.2646262113629163,2.2066091006205637,2.148383132569476,2.089773286812066,2.030556642541362,1.970442820234434,1.9090430223693238,1.845818409461971,1.7799881297316307,1.710350528875983,1.634890797411954,1.5497477116454814,1.4454736175763625,1.274351114032121,1.3992842171657571,1.5127468411556355,1.5959158792731918,1.664165118390985,1.723030160597335,1.7752696433846298,1.8224968522804845,1.8657514192496598,1.9057482669961614,1.9430021040523888,1.9778960227413203,2.0107221115004115,2.041706858212062,2.071027734928953,2.0988243899846286,2.125206389071728,2.1502586557386234,2.1740453170809113,2.196612398239684,2.2179896473875793,2.238191667589599,2.2572184588457445,2.275055418091012,2.2916727971527644,2.3070245708899098,2.321046612206851,2.3336539975552157,2.3447371612423646,2.354156454934755,2.361734406579704,2.367244528294813,2.370394731642626,2.3708019243001646,2.3679513977350295,2.3611282292432154,2.3492927868599613,2.3308317850576517,2.3029865863438985,2.260221588630383,2.1871630050445448,2.1026339423149496,2.31416048626323,2.4588386207363904,2.5843857469069036,2.7002495187749735,2.810291160034661,2.9165254801690415,3.020154133480435,3.1219579717495853,3.222475834460554,3.3220965191352985,3.4211104052967496,3.519740413751877,3.6181615648982697,3.7165138654720966,3.8149110997721674,3.9134470047487424,4.012199716899675,4.111235044247655,4.210608919405854,4.310369269297262,4.410557461266078,4.511209436275379,4.6123566073962055,4.714026579805769,4.816243733344058,4.919029698030327,5.022403745348042,5.126383112613759,5.230983273718735],[3.3006331429325932,3.2370709726072784,3.1741643230466114,3.111900863240945,3.0502669110433467,2.989247235097201,2.928824819525436,2.8689805826677155,2.809693038669951,2.7509378874023898,2.692687513667604,2.6349103704567267,2.577570212371955,2.5206251331151126,2.46402634337609,2.4077165997348207,2.351628156759666,2.295680055747848,2.2397744714676997,2.18379168967639,2.127583040416205,2.070960682945403,2.013682361169378,1.9554277657961292,1.8957601252882055,1.8340600222770063,1.7694023509864238,1.7003028365011998,1.6241125999041348,1.5351852262525922,1.4159060020693188,1.3606320140752608,1.5043232817910732,1.5961710513839575,1.668625384640551,1.7299052478766506,1.7836362212033956,1.8318030326522128,1.875631755056137,1.915940716107372,1.9533058055360661,1.9881477352992503,2.0207820411059116,2.0514495526165106,2.0803358522297715,2.1075841464596445,2.1333039908910783,2.157577280944371,2.1804623543977875,2.2019967223513444,2.2221987425533647,2.241068415003848,2.2585873819544724,2.2747181323052197,2.2894023282778266,2.302558074451994,2.314075815242773,2.323812344136215,2.331582078733594,2.3371441893744502,2.3401831403497964,2.340278219702602,2.336853537702718,2.329090766657941,2.3157638337352364,2.2948880109031773,2.2628377180506245,2.2113939888617793,2.108106761550008,2.2037847899481067,2.3634680545354207,2.4927994685910027,2.609393745592109,2.7188973004813732,2.8239590121759965,2.926063155591236,3.026134836503199,3.1247934722804898,3.222475834460554,3.319502232335397,3.4161149219996223,3.512501744194973,3.608811368879161,3.7051635102950193,3.8016559936742143,3.898369777719524,3.9953726078625875,4.09272172752347,4.190465926012282,4.288647109627199,4.387301523766026,4.4864607154376275,4.586152299839433,4.686400577101194,4.7872270330769995,4.888650749427184,4.990688742028824,5.093356242238531,5.196666932203238,5.300633142932593],[3.371615396350645,3.3086812719164387,3.2464356464136355,3.184869022817045,3.1239709038443504,3.0637296520338015,3.0041323248807172,2.9451644795302574,2.886809940053467,2.8290505183949497,2.7718656774983828,2.7152321216386235,2.6591232942496417,2.603508756993346,2.548353414649442,2.493616537370233,2.4392505129819755,2.3851992342017088,2.3313959837576523,2.277760615836939,2.2241957300804303,2.170581367620147,2.116767477146025,2.0625629043167026,2.0077187469153666,1.9519021445211011,1.894652876035633,1.8353067619656454,1.7728487110542293,1.705596443623979,1.6303932542893695,1.5398579920203406,1.4035387224528066,1.465779355316152,1.5793577807183663,1.6603792633005687,1.7262572273038101,1.7827741136995594,1.8327181404921244,1.8776880505778668,1.9186990023838697,1.9564398358642183,1.9913995220372476,2.023935904989279,2.0543159065461674,2.0827403442499657,2.1093598565113716,2.134285372429413,2.157595042979714,2.179338739101486,2.199540759303506,2.2182011035857747,2.235295473439514,2.250773997925513,2.2645585260681473,2.2765381287683897,2.286562167615542,2.2944298250675503,2.2998741792985617,2.302537386222254,2.301930474820291,2.2973646051385894,2.287824618750064,2.271711772758356,2.2462378491591544,2.2056204069809926,2.1324460219828194,2.1106094295235156,2.287332739495088,2.4182720421681583,2.533879271906807,2.641535579741097,2.7443976710565545,2.8441478255305825,2.941801134420091,3.038021777218397,3.133269975023773,3.2278785882571364,3.3220965191352985,3.4161149219996223,3.5100838481601713,3.604123256484926,3.698330547333022,3.7927858665173293,3.887555931309627,3.9826968489928762,4.078256231740821,4.174274809401156,4.270787677194178,4.367825273457978,4.465414154758586,4.563577616821144,4.6623361967019745,4.761708082456475,4.8617094500136,4.962354742228189,5.063656901604924,5.165627565605554,5.268277231512399,5.371615396350645],[3.443908635545619,3.3815958969341704,3.320002914499602,3.259122737643448,3.198947712268404,3.1394693869332215,3.0806784031662406,3.022564366648271,2.9651156951528224,2.9083194380649897,2.8521610609049963,2.796624186439653,2.7416902815062807,2.687338275356311,2.633544090795895,2.5802800631336957,2.527514213150673,2.4752093277685567,2.4233217839097096,2.3718000241616934,2.320582552275781,2.269595253781598,2.218747747356884,2.1679283094729263,2.116996638332261,2.0657732350683373,2.0140232768352173,1.961431086874752,1.907557592839603,1.8517646702901256,1.793068561851126,1.7298201337969272,1.6588720188148502,1.5726334332013283,1.435967275648287,1.5263854159222112,1.6304549938996042,1.706245688929935,1.768274229594153,1.82161539117328,1.8687642160339237,1.9111643276024979,1.9497350687236805,1.9850988372112734,2.017693885808872,2.0478359312602183,2.075754158544549,2.1016132445730578,2.1255271553107873,2.1475677401180673,2.1677697603200876,2.186133215916848,2.202623345583159,2.2171682999586904,2.2296541130784004,2.2399161080310943,2.247725099837536,2.2527653717539837,2.2545986710368413,2.252602599872308,2.245857815415704,2.232920694240618,2.2112961939804396,2.1759095393541497,2.112244001780797,2.0622299019109134,2.239300099867995,2.3659427258855583,2.477294881271675,2.5809473497299145,2.6800474985729537,2.776244461526471,2.870521995965661,2.9635182263301667,3.055672224967328,3.1472996686352914,3.2386353801799963,3.329858858467995,3.4211104052967496,3.512501744194973,3.604123256484926,3.696049056636983,3.78834064089987,3.8810495666860265,3.97421945707309,4.067887525139329,4.1620857501037865,4.256841796657795,4.352179741995208,4.448120656864592,4.544683074428626,4.6418833719205,4.739736083819988,4.838254160741998,4.937449184913019,5.037331550652242,5.137910616431327,5.239194833691521,5.341191856530131,5.443908635545619],[3.517492258482037,3.4557935899119494,3.394844250756443,3.3346395704050664,3.275174424056712,3.2164431749797595,3.1584396075540617,3.101156849297114,3.044587279657103,2.9887224228204654,2.9335528210940707,2.879067884531541,2.825255711309457,2.7721028718241323,2.71959414743442,2.6677122120212307,2.6164372407800784,2.565746425480556,2.5156133681725965,2.46600731500979,2.416892176959969,2.3682252622367255,2.3199556123181875,2.272021782722758,2.224348829708631,2.1768441340560343,2.129391474613173,2.081842382608088,2.0340031099533125,1.985614198377751,1.9363168629757463,1.885594210445508,1.8326599770649414,1.7762239039605372,1.7139124129421215,1.6404149275985296,1.5370620492801201,1.5424501958934433,1.6538145342830546,1.7298797857933357,1.7908235154057448,1.8425774353397433,1.8878733889199717,1.9282317992277371,1.964592295517741,1.9975726349080396,2.027592739543964,2.0549403627143468,2.079808074155345,2.102314589290413,2.1225166094924335,2.1404141347614054,2.155950463724448,2.169006880958106,2.1793908167262215,2.186814517739963,2.1908580618539997,2.1909036919502745,2.1860117787740867,2.1746618992441284,2.15412221003576,2.11846099892952,2.0475007009439476,2.0825165947346655,2.2262735134571154,2.340175039204748,2.442890570627204,2.539730684135649,2.6330689579202553,2.7241956508545346,2.8138970266605794,2.9026899786401805,2.990933291698997,3.0788864241081217,3.1667431239550248,3.2546518600116614,3.3427288534298283,3.4310667234292986,3.519740413751877,3.608811368879161,3.698330547333022,3.78834064089987,3.878877738611869,3.969972594315432,4.061651605960624,4.153937581777854,4.246850346571607,4.340407226460972,4.434623440087096,4.529512417053667,4.625086059184102,4.72135495642478,4.818328566468831,4.9160153651298195,5.014422972959558,5.1135582624405505,5.213427449192945,5.314036169948363,5.41538954950791,5.5174922584820365],[3.592346456052436,3.5312539782811148,3.470938763375335,3.411398174886709,3.3526293300896457,3.2946290701647545,3.2373939258866766,3.180920077994969,3.125203311248421,3.0702389609395766,3.0160218503641367,2.9625462173813566,2.9098056277427014,2.85779287227415,2.806499844227833,2.7559173921088895,2.706035141945943,2.6568412811841187,2.6083222939587536,2.5604626341940966,2.5132443183758273,2.466646413383118,2.420644385534949,2.375209263595277,2.330306548631882,2.285894773622388,2.2419235692865245,2.1983310189046414,2.1550399642496716,2.1119527204900175,2.0689432980490556,2.025845565240205,1.9824344899492756,1.9383948957850077,1.893266037671002,1.8463348221263556,1.7964053542371876,1.741210545949197,1.6754176977328021,1.5773814170624219,1.6232582767015256,1.7161471705434848,1.7821127493298687,1.8353063439929291,1.8803411885229822,1.9194033746162815,1.9537095895727616,1.9839915767538852,2.0106984720183965,2.0340922680024747,2.054294288204495,2.071304532624457,2.0850016777639864,2.095123730986903,2.1012215564344636,2.1025634107452045,2.0979326066191915,2.0851430523601717,2.059581513977828,2.00709666053991,2.0016238413048466,2.1400641623792658,2.246261050999702,2.341859899691733,2.4321934079849417,2.5195286639336283,2.605061562451674,2.689505197019983,2.7733203127149526,2.856822085927844,2.9402355487728458,3.0237268329365397,3.1074219279955506,3.191418518781474,3.2757937635213783,3.3606095789349117,3.445916334302347,3.5317554966460603,3.6181615648982697,3.7051635102950193,3.7927858665173293,3.8810495666860265,3.969972594315432,4.059570495481296,4.149856786048283,4.240843278571267,4.3325403470216255,4.4249571428942165,4.518101772936911,4.611981446323733,4.706602597303213,4.801970988016098,4.898091795166686,4.994969683462434,5.092608868144553,5.191013168473484,5.290186053674588,5.3901306825672535,5.4908499378770745,5.592346456052436],[3.6684522039977736,3.6079575590968274,3.5482665206828807,3.4893782605334045,3.431291876120746,3.3740063820507724,3.317520700284427,3.2618336489344832,3.2069439293880677,3.1528501114540743,3.099550616170842,3.047043695830034,2.9953274106730614,2.944399601590852,2.8942578579983724,2.844899479851658,2.79632143251293,2.748520292829311,2.7014921843458164,2.655232698986395,2.609736801755022,2.564998713956945,2.5210117690093625,2.47776823294144,2.43525907893822,2.39347370140234,2.3523995494383287,2.3120216515377305,2.2723219911655446,2.233278674629388,2.1948648041891787,2.1570469241246353,2.1197828333615027,2.0830184327619348,2.046683054442888,2.010682314529846,1.9748867436693072,1.9391128230010288,1.90308941561944,1.8663935884224778,1.8283144027237195,1.78751656092299,1.7409785694196307,1.6783915180725253,1.6708631977795334,1.7546075702006987,1.8092136987504945,1.85095322123704,1.8841327020142413,1.9104870170998962,1.9306890373019165,1.9447387626203019,1.9519633222471413,1.950627840164636,1.936425752018881,1.8930854200017557,1.9410177806987878,2.0440088724499335,2.1309509043573334,2.212152786562103,2.290636012664902,2.3677358802659048,2.444163328051534,2.5203412891238526,2.596540900388432,2.672945680705514,2.749685099428601,2.82685354043221,2.9045216715993827,2.982743592067967,3.061561502912216,3.1410088598524126,3.2211125606286397,3.3018944989332786,3.38337269130133,3.46556210924125,3.5484753036485097,3.6321228801204737,3.7165138654720966,3.8016559936742143,3.887555931309627,3.97421945707309,4.061651605960624,4.149856786048283,4.238838873791051,4.328601292341807,4.4191470763383265,4.510478925824576,4.602599251385589,4.695510212130438,4.78921374781771,4.883711606155745,4.9790053661062,5.075096457860185,5.17198618003057,5.269675714504583,5.368166139321284,5.4674584398748,5.567553518692787,5.668452203997774],[3.745791250959436,3.685885679842876,3.6268085233173304,3.568560554458811,3.511142612946518,3.454555612360531,3.3988005484558688,3.3438785085679807,3.2897906823334075,3.2365383739440414,3.1841230161956418,3.132546186642781,3.081809626235667,3.0319152608921733,2.98286522655482,2.9346618984024126,2.8873079250359135,2.840806268646541,2.795160252412056,2.750373616669644,2.706450585800332,2.663395948257016,2.6212151528116756,2.5799144249358124,2.5395009083283466,2.499982838059161,2.4613697537323285,2.423672763670311,2.3869048746324895,2.351081406368516,2.316220516884682,2.2823438734113575,2.2494775167730987,2.217652984730696,2.1869087851249187,2.1572923455093287,2.1288626169088403,2.101693581427787,2.0758790140845322,2.0515389856655286,2.0288287668563023,2.0079509837425173,1.9891719977831264,1.972843300987686,1.9594276504950163,1.9495265239358397,1.9438983960607457,1.9434452306288317,1.9491327225391515,1.9618186609700359,1.9820206811720562,2.0097387831452123,2.044455331638933,2.085312537474887,2.1313447057540214,2.1816498727172386,2.2354695636139486,2.29220230081343,2.3513853271768608,2.412667150694686,2.4757814099079534,2.5405254787309968,2.606744086478292,2.6743171623633857,2.743150931367915,2.813171411387545,2.884319651397362,2.9565482238438063,3.029818620886105,3.10409930476347,3.179364234651344,3.2555917433193575,3.33276367276122,3.4108647032272774,3.4898818279581514,3.569803938631377,3.6506214956428824,3.7323262639227868,3.8149110997721674,3.898369777719524,3.9826968489928762,4.067887525139329,4.153937581777854,4.240843278571267,4.328601292341807,4.417208660898254,4.506662735639648,4.596961141387182,4.688101742198336,4.780082612155239,4.872902010307678,4.966558359101084,5.061050225739698,5.156376306031627,5.252535410340329,5.349526451330355,5.44734843324669,5.546000442509249,5.645481639438835,5.745791250959436],[3.824346103338211,3.7650205163379864,3.7065466739800894,3.648926761731477,3.5921631458427834,3.536258392170585,3.4812152873645585,3.427036862767554,3.3737264214352027,3.321287568751403,3.2697242471991155,3.2190407759452224,3.169241896017291,3.120332821993104,3.072319301296214,3.025207682398933,2.9790049934862717,2.9337190334402945,2.889358477376513,2.8459329994175886,2.8034534159433955,2.761931853233591,2.7213819442471943,2.681819060297279,2.643260584618085,2.6057262363336773,2.5692384551745944,2.5338228595078016,2.499508792898693,2.4663299775494965,2.434325296554996,2.4035397309026867,2.3740254812869708,2.3458433086001285,2.3190641294324927,2.2937709023082005,2.270060833704396,2.248047915251355,2.2278657672604085,2.209670697716922,2.1936447752288486,2.179998542337276,2.1689727497542126,2.160838179612877,2.155892300297266,2.154451293006541,2.156836152424815,2.163352393524261,2.1742645782413716,2.1897691655607003,2.2099711857627207,2.234870638847432,2.264362494534362,2.298250293838957,2.336269474824723,2.378114522519488,2.4234644422391396,2.472003052784516,2.5234328857716193,2.5774831590672322,2.6339131219593463,2.692512231906873,2.7530984203018596,2.815515379158942,2.879629488166787,2.945326755695119,3.012509975266795,3.081096188357678,3.151014478377434,3.222204084433784,3.2946128058323247,3.3681956615855615,3.442913768598711,3.5187334046695438,3.5956252262326673,3.6735636149211155,3.7525261310043496,3.832493055358306,3.9134470047487424,3.9953726078625875,4.078256231740821,4.1620857501037865,4.246850346571607,4.3325403470216255,4.4191470763383265,4.506662735639648,4.595080296740579,4.684393411168807,4.774596331500778,4.8656838431587115,4.957651205115039,5.050494098202879,5.144208579939271,5.238791044940317,5.334238190150383,5.430546984226621,5.527714640519356,5.6257385931720085,5.724616475933946,5.824346103338211],[3.9041000075648578,3.8453450483950613,3.787463745448047,3.730459524637144,3.6743360839453088,3.619097420318395,3.5647478597237754,3.5112920908033782,3.4587352026153364,3.4070827270342483,3.356340686468516,3.3065156476564157,3.2576147824230777,3.209645936421331,3.162617707043748,3.1165395318851825,3.071421789358863,3.027275913329659,2.9841145239305225,2.9419515770779245,2.900802535604278,2.860684565384523,2.8216167603525584,2.7836204008801957,2.746719250619753,2.7109398975743866,2.676312145825153,2.642869464953722,2.6106495046609677,2.579694682246574,2.550052850256627,2.521778050387186,2.4949313571610556,2.4695818102793146,2.445807426942443,2.4236962736027934,2.4033475590368805,2.3848726856383906,2.3683961619193745,2.3540562356886214,2.3420050555837246,2.332408113700001,2.325442675186176,2.3212948811696266,2.32015524681413,2.3222123981983547,2.3276451237760085,2.3366131551386093,2.3492474865140833,2.365641386190963,2.385843406392983,2.409853547120144,2.4376232561487106,2.4690592651901495,2.5040305800165363,2.5423774690363525,2.583921143795889,2.6284729782164797,2.6758424571343444,2.7258434394221083,2.7782986599310457,2.833042626565839,2.8899231906888962,2.948802104491426,3.0095548594613795,3.0720700532050693,3.136248476945981,3.202002064231763,3.2692527978619332,3.337931638135415,3.4079775105294026,3.479336373347836,3.551960374044631,3.625807095320103,3.7008388874733766,3.7770222809227834,3.854327471587266,3.93272787146367,4.012199716899675,4.09272172752347,4.174274809401156,4.256841796657795,4.340407226460972,4.4249571428942165,4.510478925824576,4.596961141387182,4.684393411168807,4.772766297574593,4.862071203211972,4.952300282428112,5.0434463633978845,5.135502879383013,5.228463807975095,5.322323617299533,5.417077218298193,5.512719922329146,5.609247403425023,5.706655664639966,5.804941007991021,5.904100007564858],[3.9850369303187714,3.926843033801196,3.8695433474319008,3.813142381497959,3.757644990119438,3.7030564034867863,3.6493822636423396,3.5966286642451664,3.544802194817456,3.493909990037685,3.4439597847219643,3.3949599752213313,3.3469196880604564,3.299848856753303,3.2537583078549015,3.208659857446195,3.1645664194015577,3.1214921269557827,3.0794524692679346,3.038464444870946,2.9985467340930896,2.9597198927325037,2.922006569445827,2.8854317494572213,2.8500230272760794,2.8158109110891374,2.7828291613073795,2.7511151653192147,2.720710349719064,2.691660629998042,2.664016895710123,2.637835526221539,2.6131789280198947,2.5901160788650217,2.5687230564506702,2.5490835193974966,2.531289096136803,2.515439622701111,2.5016431542930064,2.4900156593107603,2.480680291048653,2.4737661258546146,2.469406262929475,2.4677352069490164,2.4688855065027253,2.4729837020894596,2.4801457437628054,2.4904721576755957,2.5040433496305408,2.5209155022982586,2.541117522500279,2.5646494102366013,2.591482258685697,2.621559885176947,2.6548018839076413,2.6911077287249476,2.7303614695752785,2.772436565959778,2.817200469288958,2.864518674887037,2.9142580835531846,2.966289618939471,3.020490127751616,3.0767436415913485,3.1349421052560826,3.1949856827132965,3.2567827455316882,3.320249635090602,3.3853102736962866,3.451895683588911,3.5199434582808697,3.589397218405932,3.660206074410124,3.7323241108023284,3.805709900988128,3.8803260575791096,3.9561388201642913,4.033117680556938,4.111235044247655,4.190465926012282,4.270787677194178,4.352179741995208,4.434623440087096,4.518101772936911,4.602599251385589,4.688101742198336,4.774596331500778,4.862071203211972,4.950515530776887,5.03991938068156,5.130273626401321,5.221569871585133,5.3138003814168835,5.406958021218099,5.501036201466585,5.596028828503275,5.691930260285838,5.78873526662382,5.886438993397156,5.985036930318771],[4.0671415371668145,4.009498981108965,3.952769892774972,3.896959725525865,3.8420743317490373,3.7881199983088605,3.7351034856250225,3.6830320707855995,3.6319135951487618,3.5817565169388073,3.53256996939904,3.484363825126005,3.4371487672765975,3.390936368411236,3.3457391778118035,3.3015708181910437,3.2584460927883794,3.2163811039223535,3.175393384137319,3.135502041134746,3.096727917708008,3.059093767890703,3.022624450464723,2.98734714083173,2.9532915619995137,2.9204902350325597,2.888978748712879,2.858796047288869,2.829984733978776,2.8025913862494596,2.776666876707032,2.7522666906041033,2.729451227385596,2.708286069284811,2.6888421947268952,2.6711961082889646,2.655429852468632,2.641630860042211,2.629891600205578,2.6203089682481884,2.6129833689034347,2.608017449771248,2.6055144554209755,2.6055761966436806,2.608300663404923,2.613779352975972,2.622094432462795,2.633315900611483,2.6474989482646536,2.664681730684392,2.6848837508864123,2.708105008870714,2.734326001621584,2.763508573876937,2.795597534794154,2.830522885627145,2.868202459269943,2.9085447584512787,2.9514517932055915,2.9968217527418184,3.0445513924906127,3.094538064852043,3.146681365092716,3.2008843979231774,3.2570546941475507,3.3151048209895215,3.3749527359514775,3.4365219344563034,3.4997414380788507,3.56454566458582,3.630874214532288,3.6986716026656445,3.7678869563797783,3.838473698207828,3.91038922493155,3.983594592302544,4.058054211538799,4.133735561575834,4.210608919405854,4.288647109627199,4.367825273457978,4.448120656864592,4.529512417053667,4.611981446323733,4.695510212130438,4.780082612155239,4.8656838431587115,4.952300282428112,5.03991938068156,5.128529565358637,5.2181201533024435,5.30868127191644,5.400203787957317,5.49267924320078,5.586099796288658,5.680458170132876,5.775747604313744,5.871961811966891,5.969094940704926,6.0671415371668145],[4.150399170034272,4.0932981216589255,4.037128563406042,3.981896764097061,3.9276094327776176,3.874273755736446,3.821897437035795,3.770488742905102,3.7200565503827594,3.6706104006256917,3.6221605573428475,3.5747180708457655,3.5282948482463694,3.482903730367564,3.438558575964244,3.3952743538783166,3.3530672437678595,3.3119547460527885,3.271955801701353,3.2330909224353537,3.195382331846834,3.158854117782111,3.123532396143869,3.0894454859681924,3.0566240952261428,3.0251015162489634,2.994913828947811,2.9661001090541523,2.938702637403889,2.912767104785325,2.8883428050317432,2.8654828068403067,2.8442440922416847,2.8246876467719035,2.8068784833140654,2.790885578475012,2.7767816975471264,2.7646430820229364,2.7545489728743062,2.7465809441099944,2.7408220252995683,2.737355599585298,2.736264075780154,2.737627349612069,2.741521089460309,2.7480149045491955,2.7571704760140285,2.769039750174766,2.783663304998927,2.801069001733167,2.821271021935187,2.8442693656049873,2.8700498511848673,2.89858461742817,2.929833086367377,2.9637433116825314,3.0002536122383314,3.0392943788104576,3.0807899430196413,3.124660409137952,3.1708233683524187,3.2191954375207708,3.269693587073442,3.322236243001672,3.3767441643335987,3.4331411095766917,3.4913543134385696,3.551314799312392,3.612957554315054,3.6762215929105313,3.7410499330681533,3.807389506090757,3.8751910181450615,3.94440877844276,4.0150005061479535,4.086927125529173,4.160152556675263,4.23464350725498,4.310369269297262,4.387301523766026,4.465414154758586,4.544683074428626,4.625086059184102,4.706602597303213,4.78921374781771,4.872902010307678,4.957651205115039,5.0434463633978845,5.130273626401321,5.2181201533024435,5.3069740369893275,5.396824227150437,5.487660460076819,5.579473194611553,5.672253553716244,5.765993271161456,5.860684642884939,5.956320482597961,6.052894081254886,6.150399170034272],[4.234795823864471,4.1782263811895035,4.122605276388031,4.067939478756138,4.0142364272522455,3.9615040678333195,3.9097508940574572,3.8589859912392606,3.8092190844641385,3.7604605907868,3.7127216759568435,3.666014316029578,3.6203513642314986,3.5757466234554047,3.5322149247576498,3.4897722122163506,3.448435634480745,3.408223643293467,3.3691560991932263,3.331254384497912,3.294541523518436,3.2590423097509262,3.224783439526414,3.191793651248175,3.160103868900804,3.1297473479536526,3.1007598210858127,3.0731796403119964,3.047047911073384,3.022408612665678,2.99930869800995,2.977798164249359,2.9579300840201674,2.939760585576767,2.9233487683701562,2.9087565393639805,2.896048354558807,2.8852908501814145,2.8765523491283815,2.869902230900973,2.865410157772733,2.8631451565350567,2.863174563920887,2.865562854473516,2.8703703815899004,2.8776520746908547,2.887456146536839,2.89982287296083,2.914783511081959,2.9323594200870353,2.9525614402890556,2.9753895716880194,3.000832973970931,3.028870287950981,3.0594702565090364,3.0925926038121228,3.1281891170997786,3.1662048669511904,3.2065794999694,3.2492485416111165,3.2941446551433975,3.341198813774846,3.3903413552319197,3.4415029000133526,3.4946151252225666,3.5496113946327825,3.6064272522434333,3.6650007910908746,3.7252729117241064,3.7871874858887384,3.8506914409485065,3.915734779760252,3.982270549402906,4.0502547705807626,4.119646337852643,4.190406899203834,4.262500721955245,4.335894550637525,4.410557461266078,4.4864607154376275,4.563577616821144,4.6418833719205,4.72135495642478,4.801970988016098,4.883711606155745,4.966558359101084,5.050494098202879,5.135502879383013,5.221569871585133,5.30868127191644,5.396824227150437,5.485986761231816,5.576157708410978,5.667326651633216,5.7594838658131176,5.852620265636084,5.946727357544017,6.04179719557995,6.137822340785464,6.234795823864471],[4.320318122773042,4.264270351333343,4.209186650341474,4.155074586191317,4.101942214552067,4.04979811708812,3.99865144112336,3.948511942469138,3.8993900316433003,3.8512968237131835,3.8042441919977206,3.758244825861329,3.71331229282358,3.6694611051917962,3.6267067913962636,3.585065972166806,3.544556441631333,3.505197253337518,3.4670088110927146,3.4300129643787423,3.3942331079202406,3.359694284760228,3.3264232919155297,3.2944487873388337,3.263801396493789,3.234513816345971,3.206620913978417,3.1801598163513134,3.155169986942054,3.1316932841324627,3.1097739952736276,3.089458839389496,3.0707969305310607,3.053839692940047,3.0386407185276827,3.0252555568520796,3.0137414279454777,3.004156849178236,2.9965611690336047,2.9910140033722774,2.9875745736049293,2.9863009511915144,2.987249218942446,2.9904725664327256,2.996020343986311,3.0039371064889977,3.014261683947897,3.0270263193888938,3.0422559156042683,3.0599674298922714,3.0801694500942913,3.102861976210329,3.128036420398995,3.155675825362038,3.1857552883071794,3.2182425662085334,3.253098829058988,3.2902795219727494,3.329735294625858,3.3714129574433134,3.415256427614702,3.4612076336800692,3.5092073542287414,3.559195973400023,3.6111141427106657,3.664903344790309,3.7205063596067136,3.7778676376017675,3.8369335868642436,3.8976527831524157,3.9599761124152906,4.023856855628923,4.089250725442223,4.156115863473366,4.2244128062449615,4.294104426796819,4.365155858045904,4.437534403026641,4.511209436275379,4.586152299839433,4.6623361967019745,4.739736083819988,4.818328566468831,4.898091795166686,4.9790053661062,5.061050225739698,5.144208579939271,5.228463807975095,5.3138003814168835,5.400203787957317,5.487660460076819,5.576157708410978,5.665683659640855,5.7562271986991185,5.847777915067917,5.940326052935904,6.033862464979196,6.1283785695333926,6.223866310929303,6.320318122773042],[4.406953295957196,4.351417261248618,4.296859972467076,4.243289500365128,4.190714416426275,4.139143828288882,4.0885874177532475,4.0390554815274005,3.9905589748655386,3.9431095582479165,3.8967196472411842,3.851402465662543,3.807172102148018,3.7640435701928423,3.722032871688193,3.681157063920791,3.641434329927081,3.6028840519985064,3.565526888014726,3.529384850133243,3.4944813851820027,3.460841455881054,3.428491621755435,3.397460118289112,3.367776932505324,3.33947387273946,3.312584629896615,3.2871448269608265,3.263192052955203,3.240765876957375,3.2199078371770744,3.200661399537542,3.183071879717759,3.1671863222703114,3.1530533303063835,3.140722839424092,3.130245830146814,3.121673974233203,3.1150592119086395,3.110453259411491,3.1079070492645497,3.1074701093249217,3.1091898908032265,3.113111059847766,3.1192747716364413,3.127717949802207,3.13847259698305,3.1515651638881925,3.167016004135522,3.1848389400121473,3.205040960214168,3.2276220647415825,3.2525752648982937,3.2798867383971917,3.3095361316203893,3.3414969938586636,3.3757373224740284,3.41222019383353,3.450904452759265,3.491745433102934,3.534695683653915,3.5797056765551045,3.6267244792837086,3.6757003756013593,3.7265814252826783,3.7793159565690098,3.833852988936978,3.8901425867884667,3.9481361470122893,4.0077866250558625,4.069048705240203,4.1318789216420715,4.196235736051736,4.262079579391564,4.32937286263845,4.398079962808354,4.4681671889961825,4.5396027328665465,4.6123566073962055,4.686400577101194,4.761708082456475,4.838254160741998,4.9160153651298195,4.994969683462434,5.075096457860185,5.156376306031627,5.238791044940317,5.322323617299533,5.406958021218099,5.49267924320078,5.579473194611553,5.667326651633216,5.7562271986991185,5.846163175329006,5.93712362626868,6.029098254810114,6.122077379153007,6.216051891658996,6.311013220844577,6.406953295957196],[4.494689153579372,4.439654949589188,4.385613166344384,4.332572295936586,4.280541335919558,4.229529822959207,4.179547868692922,4.130606197896201,4.08271618904544,4.035889917352607,3.990140200329062,3.945480645911029,3.901925703146678,3.8594907154029077,3.8181919759968945,3.7780467860911764,3.739073514609199,3.7012916598282444,3.6647219121857466,3.6293862176903673,3.5953078411578074,3.562511428290618,3.531023065388843,3.5008703352126216,3.4720823672186167,3.4446898800607446,3.418725213886087,3.39422234957645,3.371216911696452,3.349746151527257,3.329848906214667,3.3115655297718343,3.294937791488913,3.280008737260541,3.266822509499717,3.255424121720149,3.245859184594983,3.2381735813886907,3.2324130921472225,3.228622967932228,3.2268474586770957,3.2271293008607635,3.2295091740236463,3.23402513801918,3.240712065586399,3.2496010870909933,3.2607190658505747,3.274088123090598,3.2897252310827314,3.3076418912999648,3.327843911501985,3.350331291688792,3.3750982241006993,3.4021332072647166,3.431419268909175,3.462934287808621,3.496651400645443,3.53253947705395,3.570563644295107,3.610685842515479,3.652865392174652,3.697059556793687,3.743224086439196,3.791313730049528,3.8412827075787357,3.8930851357623433,3.946675403927207,4.00200849855962,4.059040277246582,4.117727694093455,4.178028979810086,4.23990378038332,4.303313258667359,4.368220163381036,4.434588869959734,4.502385397521647,4.571577405919692,4.642134176499955,4.714026579805769,4.7872270330769995,4.8617094500136,4.937449184913019,5.014422972959558,5.092608868144553,5.17198618003057,5.252535410340329,5.334238190150383,5.417077218298193,5.501036201466585,5.586099796288658,5.672253553716244,5.7594838658131176,5.847777915067917,5.93712362626868,6.027509620939005,6.1189251743033966,6.211360174724465,6.304805085536303,6.399250909185148,6.494689153579371],[4.5835140628083035,4.528971836978588,4.475434760643211,4.422911673070652,4.371411918225104,4.320945376323598,4.271522497234355,4.223154335764187,4.175852588868406,4.129629634797819,4.0844985741732796,4.040473272947721,3.9975684071776314,3.955799509479146,3.915183016986921,3.8757363205651894,3.83747781493813,3.8004269493092373,3.7646042779249687,3.730031509904956,3.696731557507992,3.664728581828907,3.634048034725815,3.6047166955606436,3.5767627011001424,3.550215566673197,3.525106196419145,3.5014668801993065,3.4793312744921465,3.4587343643670696,3.4397124034529174,3.4223028287093307,3.4065441468009574,3.3924757889984956,3.3801379318209945,3.3695712811250127,3.360816818068621,3.353915506354685,3.34890796139794,3.345834083555257,3.3447326592749835,3.3456409358980004,3.348594177787918,3.3536252133593436,3.3607639842660175,3.3700371093463684,3.3814674767457036,3.395073877805266,3.4108706957317634,3.428867660697297,3.449069680899317,3.471476756337824,3.496083978815367,3.522881618159845,3.55185529116455,3.58298620648824,3.6162514759856057,3.6516244808182217,3.689075279332344,3.7285710431133676,3.7700765077976817,3.8135544260444045,3.8589660114051902,3.9062713635231665,3.9554298669835988,4.006400558083621,4.059142455665162,4.113614853871664,4.169777576184078,4.2275911913317055,4.287017192649898,4.348018143179015,4.410557789290216,4.474601145914094,4.540114556572187,4.607065731403173,4.6754237662677145,4.745159145836926,4.816243733344058,4.888650749427184,4.962354742228189,5.037331550652242,5.1135582624405505,5.191013168473484,5.269675714504583,5.349526451330355,5.430546984226621,5.512719922329146,5.596028828503275,5.680458170132876,5.765993271161456,5.852620265636084,5.940326052935904,6.029098254810114,6.1189251743033966,6.209795756608942,6.301699551858531,6.394626679835131,6.488567796574548,6.5835140628083035],[4.673416924168393,4.619356899119035,4.566313858850037,4.5142969236971755,4.463315713474693,4.413380376744667,4.364501621577247,4.316690747807479,4.26995968077634,4.224321006521303,4.179788008354148,4.136374704730283,4.094095888273508,4.05296716577188,4.013004998903256,3.9742267453818894,3.9366507001392343,3.900296136061632,3.8651833437040537,3.8313336692816913,3.7987695501096317,3.7675145465151756,3.7375933690884304,3.709031899966252,3.681857206665503,3.656097546798163,3.631782361819489,3.608942257789385,3.5876089709773455,3.5678153160259836,3.5495951143235063,3.532983100239945,3.5180148029761913,3.504726401980525,3.4931545542260087,3.483336192133127,3.475308291580258,3.4691076102774354,3.4647703977830098,3.4623320796013166,3.4618269190787228,3.4632876621638045,3.4667451714451296,3.472228057141372,3.4797623137962965,3.489370972224604,3.5010737766686764,3.5148868970824667,3.5308226859066747,3.5488894876252863,3.5690915078273067,3.5914287465127352,3.615896998092568,3.642487918082818,3.6711891540427857,3.701984536018519,3.7348543197676345,3.769775474475433,3.806722005598148,3.845665302917107,3.8865745038437405,3.9294168624294743,3.9741581153279406,4.020762837034804,4.069194777991713,4.119417180488635,4.171393068647191,4.225085510046899,4.280457847714692,4.3374739022022935,4.396098144308812,4.456295839664214,4.5180331668802935,4.581277311314438,4.645996536697154,4.712160236968533,4.779738970673322,4.848704480199542,4.919029698030327,4.990688742028824,5.063656901604924,5.137910616431327,5.213427449192945,5.290186053674588,5.368166139321284,5.44734843324669,5.527714640519356,5.609247403425023,5.691930260285838,5.775747604313744,5.860684642884939,5.946727357544017,6.033862464979196,6.122077379153007,6.211360174724465,6.301699551858531,6.393084802485054,6.485505778041957,6.578952858714995,6.673416924168393],[4.764387148320066,4.71079964063753,4.6582401100825965,4.606717899254078,4.556242841451292,4.506825287556505,4.458476134083238,4.411206852361676,4.365029518812273,4.319956846234325,4.276002216007296,4.233179711068265,4.191504149488451,4.150991118424534,4.111657008165815,4.073519045935406,4.0365953290319005,4.0009048568170495,3.966467560964248,3.9333043332823223,3.9014370503193385,3.8708885938328903,3.841682866087975,3.8138447988135153,3.7874003545171138,3.7623765187293694,3.7388012816298515,3.7167036074042237,3.6961133896050713,3.6770613907485235,3.6595791643870568,3.6436989579694448,3.629453594945832,3.6168763348134094,3.606000710138932,3.5968603400483903,3.589488720247169,3.5839189903254924,3.5801836799049402,3.5783144360737924,3.5783417355121534,3.5802945856811084,3.5842002203917174,3.590083795919126,3.5979680945192163,3.6078732426749847,3.619816451588519,3.633811787296376,3.6498699772949745,3.6679982597163194,3.6882002799183393,3.710476037901035,3.7348218883064774,3.7612305930026606,3.7896914244931663,3.8201903167414386,3.852710058545388,3.887230523422021,3.923728929115452,3.962180119350537,4.002556860316217,4.044830144551405,4.088969495375997,4.134943265701714,4.182718925906976,4.232263336401559,4.2835430014800755,4.33652430201654,4.391173705444192,4.447457952265845,4.505344219031352,4.56480025829194,4.625794516495133,4.688296231124801,4.75227550862836,4.817703384820144,4.884551869520585,4.952793977199086,5.022403745348042,5.093356242238531,5.165627565605554,5.239194833691521,5.314036169948363,5.3901306825672535,5.4674584398748,5.546000442509249,5.6257385931720085,5.706655664639966,5.78873526662382,5.871961811966891,5.956320482597961,6.04179719557995,6.1283785695333926,6.216051891658996,6.304805085536303,6.394626679835131,6.485505778041957,6.577432029274515,6.670395600233491,6.764387148320065],[4.856414633369298,4.8032900697462715,4.751203681041572,4.700164979927116,4.650183958190711,4.6012711112053495,4.5534374632688195,4.506694593757587,4.461054664017787,4.41653044489125,4.37313534474533,4.330883437841601,4.289789492839506,4.249869001186472,4.211138205095401,4.173614124753393,4.137314584341722,4.1022582363765965,4.068464583802857,4.035953999189166,4.004747740284046,3.9748679610986075,3.946337717585769,3.919180966889748,3.8934225590469573,3.8690882199343104,3.846204524188793,3.8247988567691085,3.804899361803809,3.7865348773788265,3.7697348549698857,3.7545292623313777,3.7409484688224066,3.729023112391487,3.71878394776086,3.710261675753914,3.7034867541953713,3.698489191379239,3.6952983237335593,3.6939425799963264,3.6944492349287756,3.6968441562986802,3.701151549529202,3.7073937049856216,3.7155907533187427,3.72576043455737,3.7379178867062093,3.7520754594329633,3.768242558005708,3.7864255219718785,3.806627542173899,3.8288486186117687,3.8530855604430645,3.8793320281203503,3.9075786163755515,3.937812975540965,3.9700199676118837,4.004181852559506,4.040278499733024,4.07828761876716,4.11818500423875,4.159944788380024,4.203539696429744,4.248941299649917,4.296120261612501,4.3450465740234865,4.395689779058154,4.448019175893114,4.502004009806125,4.557613642848674,4.614817705661655,4.6735862304906775,4.7338897658600185,4.795699473683743,4.858987209833301,4.923725589349988,4.989888037596819,5.05744882869688,5.126383112613759,5.196666932203238,5.268277231512399,5.341191856530131,5.41538954950791,5.4908499378770745,5.567553518692787,5.645481639438835,5.724616475933946,5.804941007991021,5.886438993397156,5.969094940704926,6.052894081254886,6.137822340785464,6.223866310929303,6.311013220844577,6.399250909185148,6.488567796574548,6.578952858714995,6.670395600233491,6.762886029342232,6.856414633369298],[4.949489742783178,4.896818673773338,4.845195229128146,4.794629045380514,4.745130224424466,4.696709355599573,4.649377538381438,4.603146405601326,4.558028147096794,4.514035533670636,4.4711819412072185,4.429481374763217,4.388948492413342,4.349598628590735,4.311447816616002,4.27451281005838,4.238811102517082,4.204360945350723,4.171181362818346,4.139292164027413,4.108713951013401,4.079468122203584,4.05157687044627,4.025063174718496,3.9999507845631506,3.9762641962544425,3.9540286196530174,3.9332699346940183,3.9140146364587753,3.8962897678198916,3.8801228387268014,3.8655417313209206,3.8525745902423734,3.841249697718921,3.8315953333155597,3.823639618571318,3.8174103471558984,3.812934801637119,3.8102395584502258,3.8093502831869035,3.8102915188552577,3.81308647027772,3.8177567882637167,3.824322357587944,3.8328010930929155,3.8432087483879283,3.8555587416124872,3.8698620025543957,3.886126845054839,3.904358868099383,3.9245608883014027,3.9467329056609,3.970872103564497,3.9969728830266287,4.02502693020611,4.055023315315138,4.086948620214207,4.12078709129402,4.1565208137120635,4.194129902693641,4.233592707429327,4.274886023096691,4.317985306687625,4.362864892610444,4.409498204429904,4.457857959578186,4.507916364385588,4.559645297313081,4.613016478795668,4.668001626605589,4.724572596102719,4.782701505145644,4.8423608437849275,4.903523569147967,4.966163186153432,5.03025381486618,5.095770245425566,5.162687981557381,5.230983273718735,5.300633142932593,5.371615396350645,5.443908635545619,5.5174922584820365,5.592346456052436,5.668452203997774,5.745791250959436,5.824346103338211,5.904100007564858,5.985036930318771,6.0671415371668145,6.150399170034272,6.234795823864471,6.320318122773042,6.406953295957196,6.494689153579371,6.5835140628083035,6.673416924168393,6.764387148320065,6.856414633369298,6.949489742783178]],"colorbar":{"len":480,"lenmode":"pixels","y":0.0,"yanchor":"bottom"},"colorscale":"Viridis"},{"type":"scatter","name":"Global Minima","mode":"markers","x":[-1.0],"y":[-1.0],"marker":{"symbol":"diamond","size":10,"line":{"width":3.0,"color":"rgba(255, 0, 255, 1.0)"},"color":"rgba(255, 255, 255, 1.0)"}}],"layout":{"title":{"text":"Function: happy_cat"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}