{"data":[{"type":"contour","x":[-1.5,-1.4444444444444444,-1.3888888888888888,-1.3333333333333333,-1.2777777777777777,-1.2222222222222223,-1.1666666666666667,-1.1111111111111112,-1.0555555555555556,-1.0,-0.9444444444444444,-0.8888888888888888,-0.8333333333333334,-0.7777777777777778,-0.7222222222222222,-0.6666666666666666,-0.6111111111111112,-0.5555555555555556,-0.5,-0.4444444444444444,-0.38888888888888884,-0.33333333333333326,-0.2777777777777777,-0.22222222222222232,-0.16666666666666674,-0.11111111111111116,-0.05555555555555558,0.0,0.05555555555555558,0.11111111111111116,0.16666666666666674,0.22222222222222232,0.2777777777777777,0.33333333333333326,0.38888888888888884,0.4444444444444444,0.5,0.5555555555555554,0.6111111111111112,0.6666666666666665,0.7222222222222223,0.7777777777777777,0.8333333333333335,0.8888888888888888,0.9444444444444446,1.0,1.0555555555555554,1.1111111111111112,1.1666666666666665,1.2222222222222223,1.2777777777777777,1.3333333333333335,1.3888888888888888,1.4444444444444446,1.5,1.5555555555555554,1.6111111111111112,1.6666666666666665,1.7222222222222223,1.7777777777777777,1.8333333333333335,1.8888888888888888,1.9444444444444446,2.0,2.0555555555555554,2.111111111111111,2.1666666666666665,2.2222222222222223,2.2777777777777777,2.3333333333333335,2.388888888888889,2.4444444444444446,2.5,2.5555555555555554,2.6111111111111107,2.666666666666667,2.7222222222222223,2.7777777777777777,2.833333333333333,2.8888888888888893,2.9444444444444446,3.0,3.0555555555555554,3.1111111111111107,3.166666666666667,3.2222222222222223,3.2777777777777777,3.333333333333333,3.3888888888888893,3.4444444444444446,3.5,3.5555555555555554,3.6111111111111107,3.666666666666667,3.7222222222222223,3.7777777777777777,3.833333333333333,3.8888888888888893,3.9444444444444446,4.0],"y":[-3.0,-2.9292929292929295,-2.8585858585858586,-2.787878787878788,-2.717171717171717,-2.6464646464646466,-2.5757575757575757,-2.505050505050505,-2.4343434343434343,-2.3636363636363638,-2.292929292929293,-2.2222222222222223,-2.1515151515151514,-2.080808080808081,-2.01010101010101,-1.9393939393939394,-1.8686868686868687,-1.797979797979798,-1.7272727272727273,-1.6565656565656566,-1.5858585858585859,-1.5151515151515151,-1.4444444444444444,-1.3737373737373737,-1.303030303030303,-1.2323232323232323,-1.1616161616161615,-1.0909090909090908,-1.02020202020202,-0.9494949494949494,-0.8787878787878789,-0.808080808080808,-0.7373737373737375,-0.6666666666666665,-0.595959595959596,-0.5252525252525251,-0.4545454545454546,-0.38383838383838365,-0.31313131313131315,-0.2424242424242422,-0.1717171717171717,-0.10101010101010122,-0.030303030303030276,0.04040404040404022,0.11111111111111116,0.18181818181818166,0.2525252525252526,0.3232323232323231,0.39393939393939403,0.46464646464646453,0.5353535353535355,0.606060606060606,0.6767676767676769,0.7474747474747474,0.8181818181818183,0.8888888888888888,0.9595959595959598,1.0303030303030303,1.1010101010101012,1.1717171717171722,1.2424242424242422,1.3131313131313131,1.383838383838384,1.4545454545454541,1.525252525252525,1.595959595959596,1.666666666666667,1.737373737373737,1.808080808080808,1.878787878787879,1.9494949494949498,2.02020202020202,2.090909090909091,2.1616161616161618,2.2323232323232327,2.3030303030303028,2.3737373737373737,2.4444444444444446,2.5151515151515156,2.5858585858585856,2.6565656565656566,2.7272727272727275,2.7979797979797976,2.8686868686868685,2.9393939393939394,3.0101010101010104,3.0808080808080804,3.1515151515151514,3.2222222222222223,3.2929292929292933,3.3636363636363633,3.4343434343434343,3.505050505050505,3.575757575757576,3.646464646464646,3.717171717171717,3.787878787878788,3.858585858585859,3.929292929292929,4.0],"z":[[-1.022469882334903,-0.9492631299848018,-0.8728590600991897,-0.7932077209514601,-0.7102501335993878,-0.6239184738720898,-0.5341362816500492,-0.44081869679244523,-0.34387272098381594,-0.24319750469207158,-0.13868465835244415,-0.03021858681713052,0.08232315396129586,0.19906947911336292,0.3201553770688097,0.4457214930327904,0.5759136950073547,0.7108826236973691,0.8507832276896199,0.9957742853394391,1.1460179148400798,1.3016790739865973,1.4629250511777911,1.6299249492267798,1.8028491635729456,1.9818688565053577,2.1671554290199477,2.3588799919401335,2.557212837932836,2.7623229160489835,2.974377310409924,3.193540724648317,3.4199749736943375,3.6538384844752976,3.895285807069417,4.144467137822071,4.401527855896044,4.666608074685815,4.939842209480018,5.2213585627061185,5.511278928037134,5.809718214581888,6.116784092318486,6.432576659865017,6.75718813561269,7.090702573174319,7.433195602026348,7.784734194144562,8.145376457353606,8.515171456027991,8.894159059697747,9.282369820026016,9.679824876538,10.08653589139232,10.502505013395947,10.927724871373787,11.362178596913363,11.80583987641446,12.258673032283006,12.7206331330188,13.191666131857364,13.671709033537947,14.160690088683452,14.658529015192105,15.165137245958007,15.680418202156122,16.204267591248403,16.736573728791537,17.277217883053382,17.826074641374714,18.38301229714573,18.947893256203447,19.520574461395796,20.10090783400251,20.688740730650636,21.283916414314962,21.886274537949767,22.495651639259926,23.11188164508436,23.73479638383573,24.36422610441502,25.0,25.641946735091153,26.289894974188968,26.94367391047119,27.60311379283884,28.268046449704556,28.938305807907263,29.613728405151832,30.294153894392558,30.979425538604204,31.669390694413835,32.363901283101185,33.06281424751419,33.76599199348983,34.473302814418346,35.18462129764048,35.89982871142412,36.61881337132595,37.3414709848079],[-1.0701588231456505,-1.008587153479949,-0.9437530174920195,-0.8755950046970309,-0.8040429137767706,-0.7290179691946541,-0.650433064267566,-0.5681930299445117,-0.4821949284627145,-0.39232837097505247,-0.29847585816875366,-0.20051314282433186,-0.09830961319604281,0.008271303969126897,0.11937172201746549,0.235138855879919,0.3557245678218477,0.48128489885289216,0.6119795872427707,0.7479715756287115,0.889426508235422,1.0365122197589685,1.1893982174916609,1.3482551582859514,1.5132543219712096,1.684567082848229,1.8623643808922345,2.046816194296035,2.238091014980908,2.4363553286935353,2.6417731012932535,2.854505272814748,3.0747092608672855,3.302538474902839,3.5381418428519122,3.7816633515876337,4.033241602636119,4.2930093845039945,4.561093262942734,4.83761319041408,5.122682135961618,5.416405736630541,5.718881971511253,6.030200859412531,6.350444181097151,6.679685226937039,7.017988570766592,7.365409870631984,7.721995697051231,8.087783389315018,8.462800940271592,8.847066909951293,9.240590368297289,9.64337086717906,10.055398441775212,10.476653641321162,10.907107589126928,11.34672207167979,11.795449656556931,12.25323383878409,12.720009215188847,13.195701686210318,13.680228684542685,14.173499429907038,14.675415209165353,15.18586968091231,15.70474920360512,16.231933186218818,16.767294460345028,17.310699672586182,17.862009696034164,18.421080059563963,18.987761393617497,19.56189989110223,20.143337781982318,20.73191382009798,21.327463780710723,21.929820967239635,22.53881672562455,23.154280964729466,23.776042681180193,24.403930487016723,25.037773138532486,25.677400064668305,26.32264189333096,26.973330974011994,27.629301895094677,28.290391994252204,28.956441860362915,29.627295825393368,30.30280244473164,30.982814964488817,31.667191774326554,32.35579684441366,33.0485001451632,33.74517804845532,34.44571370910726,35.149997425413915,35.857926977646315,36.5694079434634],[-1.1126472708614505,-1.0626257692237076,-1.0092621081568618,-0.9524837253110645,-0.8922095478166936,-0.828350242444901,-0.7608084912565491,-0.6894792918889774,-0.6142502815540212,-0.5350020837475506,-0.4516086766007179,-0.3639377817363121,-0.2718512724303581,-0.175205599819531,-0.07385223583926148,0.03236186847421596,0.1435938107319812,0.26000425244797665,0.38175692329764743,0.5090181159094032,0.6419561727477534,0.780740966671436,0.9255433767692933,1.0765347610913159,1.2338864279017905,1.397769107086063,1.5683524233419668,1.7458043727814436,1.9302908045573721,2.121974909115102,2.3210167146477874,2.527572593309226,2.741794778707871,2.9638308961708484,3.19382350722742,3.431909669717421,3.6782205148820095,3.932880842741718,4.1960087370102555,4.467715200732324,4.748103813769759,5.037270413192787,5.3353027975626945,5.6422804560182795,5.958274323002127,6.283346559383419,6.617550360652758,6.960929792780781,7.3135196562470375,7.675345378658743,8.046422936290679,8.426758804788385,8.816349939186765,9.215183783305658,9.62323830849358,10.040482081599844,10.466874361965544,10.902365227133966,11.346895726892654,11.800398065171663,12.262795809236952,12.734004125533136,13.213930041448169,13.702472732192021,14.19952383190429,14.70496776803071,15.218682117936808,15.740537986658428,16.270400404623306,16.808128744116765,17.353577153206203,17.90659500578561,18.467027366351438,19.034715468075564,19.60949720270037,20.19120762074423,20.779679440473817,21.374743564073103,21.976229599415884,22.58396638583221,23.197782522246136,23.817506896055402,24.44296921112089,25.074000513236836,25.710433711460336,26.352104093691413,26.9988498349131,27.65051249652281,28.30693751521466,28.967974679904007,29.633478595222666,30.30330913015467,30.97733185042816,31.655418433329285,32.337447063658004,33.02330280960444,33.71287797738524,34.40607244354649,35.10279396390713,35.802958458190055],[-1.1498246159582841,-1.1112499081348997,-1.0692392017142947,-1.0237091451052187,-0.9745681990407853,-0.9217169190344165,-0.8650482622283304,-0.8044479176877717,-0.7397946591218032,-0.6709607189423004,-0.597812182506944,-0.5202094013297227,-0.4380074239839331,-0.3510564433680683,-0.259202258954514,-0.16228675259469227,-0.060148376412545446,0.04737734871914423,0.16045732565768045,0.2792603659906563,0.40395666914653283,0.5347172972228522,0.6717136471525809,0.8151169218372871,0.9650976018790027,1.121824919540857,1.2854663365595886,1.456187027421275,1.6341493696946294,1.8195124429945624,2.0124315381219766,2.213057677894435,2.421537151146241,2.6380110613357903,2.862614891153079,3.095478084470793,3.336723646928915,3.5864677663853524,3.844819454403641,4.111880209884015,4.387743705875806,4.672495500537403,4.966212773135796,5.268964085900214,5.580809172464738,5.901798753552633,6.231974380471177,6.571368306899867,6.920003389367608,7.27789301672604,7.645041068836532,8.021441904598383,8.407080379355156,8.80193189162542,9.20596245901371,9.619128823067507,10.041378582756645,10.472650356163266,10.91287396988349,11.361970675556284,11.819853392851462,12.286426978166984,12.761588518206581,13.245227647531644,13.737226889107726,14.237462016794725,14.745802438662286,15.262111599947664,15.786247404412647,16.31806265279942,16.85740549703239,17.404119908764585,17.958046160822747,18.519021320065697,19.086879750135033,19.661453622547022,20.24257343454846,20.830068532138874,21.423767636644868,22.023499373222094,22.629092799653876,23.240377933815054,23.857186278173117,24.479351339708707,25.106709143650704,25.739098739441097,26.3763626973682,27.01834759433585,27.66490448726975,28.3158893727,28.971163631102044,29.630594454624628,30.294055256885173,30.961426063568013,31.63259388262022,32.30745305290291,32.9859055702219,33.667861389732096,34.353238703782104,35.04196419434212],[-1.1815568216810632,-1.1543075905043292,-1.1235148444535552,-1.0890848592379374,-1.0509160866523288,-1.0088994679170193,-0.9629187701923403,-0.9128509452297413,-0.8585665090526629,-0.7999299414956598,-0.7368001043689523,-0.6690306769580907,-0.5964706075149575,-0.5189645793469673,-0.4363534900662991,-0.3484749425203466,-0.25516374588861535,-0.15625242539979656,-0.05157173909628199,0.05904879994844503,0.17578039757092956,0.29879445024054796,0.42826201619411464,0.5643532876141428,0.7072370654794069,0.8570802387082708,1.014047269201881,1.1782996843762676,1.3499955787491373,1.529289126119326,1.7163301038441094,1.9112634306822933,2.114228719629141,2.325359847122858,2.5447845399519977,2.772623981138345,3.0089924360114324,3.253996899628488,3.507736766627687,3.7703035245334657,4.041780471460262,4.322242459085663,4.611755661686136,4.91037737194795,5.218155824183393,5.5351300454977,5.861329735366011,6.196775173991915,6.541477159730286,6.89543697576765,7.258646386162711,7.631087661259398,8.012733632393969,8.403547775727317,8.803484324943893,9.212488412469446,9.630496238771835,10.0574352692225,10.49322445791123,10.937774497723519,11.390988095908918,11.852760274290072,12.322978693186132,12.801523998050955,13.28827018775665,13.783085003385908,14.285830336333524,14.796362654457967,15.314533444967827,15.840189672676791,16.37317425221297,16.9133265327256,17.4604827935935,18.014476749605677,18.57514006405529,19.14230286816379,19.715794285232377,20.29544295790369,20.88107757690642,21.472527409651725,22.069622827050104,22.672195826923343,23.280080552396413,23.893113803669713,24.511135541592708,25.13398938148476,25.761523075679904,26.393588983306095,27.03004452584979,27.670752627099866,28.315582136113598,28.96440823189937,29.617112808567605,30.273584839761334,30.933720721242047,31.597424590573603,32.264608622917855,32.935193302029276,33.60910766561233,34.28628952428457],[-1.2076870938799003,-1.1916246854992956,-1.1718981061617546,-1.1484037272553769,-1.1210304991144922,-1.0896602936773983,-1.054168268985384,-1.014423254398313,-0.9702881553381717,-0.9216203763116617,-0.868272260906557,-0.8100915474041726,-0.746921838602085,-0.6786030843974018,-0.6049720756415269,-0.525862947742544,-0.4411076924613262,-0.35053667632211827,-0.25397916403799936,-0.15126384533613457,-0.042219363557199685,0.07332515560205888,0.19553957683462553,0.32459223108429835,0.4606493961393614,0.6038747835615066,0.7544290335331905,0.9124692191821149,1.0781483619122794,1.2516149592371768,1.4330125265720008,1.6224791543987473,1.8201470821706272,2.02614229027058,2.240584111282921,2.4635848617776235,2.6952494957433837,2.9356752807388657,3.1849514977613955,3.44315916575919,3.7103707916371915,3.9866501465278636,4.2720520690173425,4.56662229593405,4.870397321221978,5.183404283333981,5.505660881492701,5.83717532107737,6.177946288305068,6.5279629542845905,6.887205008430329,7.255642721133168,7.633237035494914,8.019939687843308,8.415693356655623,8.8204318394315,9.234080256969051,9.656555284414118,10.087765408369574,10.527611209271459,10.975985668160575,11.43277449690294,11.897856490840269,12.371103902782185,12.85238283718629,13.341553663309728,13.838471446057437,14.34298639319763,14.85494431756463,15.374187112822781,15.900553241323458,16.433878232549866,16.9739951906115,17.52073530922249,18.07392839257464,18.63340338049805,19.198988876288805,19.770513675575135,20.347807294590044,20.930700496220485,21.519025812209726,22.112618059901873,22.71131485193368,23.314957097301242,23.92338949225533,24.536460999510712,25.15402531429069,25.7759413157689,26.402073502515503,27.032292410603777,27.66647501308748,28.30450509961602,28.946273635016016,29.591679095733145,30.240627783095864,30.89303411243444,31.548820877163227,32.20791948701138,32.87027017966665,33.535822205179635],[-1.2280366645743204,-1.2230057813662754,-1.2141775342799104,-1.2014389082566055,-1.18466990713058,-1.1637439238921754,-1.138528131349747,-1.1088838919846902,-1.074667185734981,-1.0357290543872208,-0.9919160612059699,-0.9430707643821323,-0.8890322028394966,-0.8296363929004125,-0.764716834278099,-0.694105023834247,-0.6176309755166987,-0.5351237448728181,-0.44641195652014254,-0.3513243329467235,-0.24969022300946886,-0.1413401284997411,-0.026106227151446504,0.09617710952222325,0.22567280516122246,0.36254057583722954,0.5069364372295881,0.6590122232192703,0.8189151173862994,0.9867871988562689,1.1627650038973085,1.346979104620214,1.5395537060817475,1.7406062630342927,1.9502471175044063,2.168579158318601,2.3956975036269075,2.6316892074038183,2.876632990832311,3.1305989993996928,3.39364858645488,3.665834123894891,3.947198840564779,4.237776688869559,4.53759224000982,4.846660608164145,5.164987403852448,5.492568716623984,5.829391127123541,6.1754317484985695,6.53065829701942,6.895029191694883,7.268493682575562,7.650992007349258,8.042455575745073,8.44280718117738,8.851961238976441,9.269824050470708,9.696294092105862,10.131262328708548,10.574612549928135,11.02622172881838,11.485960401452607,11.953693066400925,12.429278602837007,12.912570705984143,13.40341833855709,13.901666196806628,14.407155189728853,14.91972292996053,15.43920423484572,15.965431636127752,16.498235896693544,17.03744653277611,17.582892340003674,18.13440192167232,18.69180421761215,19.254929032014978,19.823607558594908,20.397672901461483,20.976960590097853,21.56130908685543,22.15056028539854,22.744559998561513,23.34315843411256,23.946210656956616,24.55357703635083,25.165123676752806,25.780722830972174,26.40025329435062,27.023600778754194,27.650658265223676,28.28132633419512,28.9155134722714,29.55313635459833,30.194120101974065,30.8383985118982,31.48591426284807,32.13661909115135,32.79047393990989],[-1.2424056853296772,-1.2482351619830494,-1.2501222106175067,-1.2479449945099867,-1.2415751706643068,-1.230878285829652,-1.2157141913730145,-1.1959374757254713,-1.171397913067893,-1.1419409268716407,-1.107408066863922,-1.067637497946075,-1.022464499556154,-0.9717219739349767,-0.9152409617273243,-0.8528511633273066,-0.7843814643592681,-0.7096604636727477,-0.6285170022223259,-0.5407806912004265,-0.4462824377934531,-0.34485496693897044,-0.23633333747398844,-0.12055545108169952,0.0026374475337380687,0.1334002807877317,0.27188366018261423,0.4182334215768879,0.5725901751903013,0.7350888717332964,0.9058583859995952,1.08502111920677,1.2726926213118883,1.4689812344675337,1.6739877587184653,1.88780514097036,2.1105181881904347,2.3422033057248646,2.582928261540453,2.8327519771180345,3.0917243456428203,3.3598860780526874,3.637268577419457,3.9238938420507488,4.219774397611442,4.524913258474152,4.8393039184180004,5.162930370704391,5.495767157467798,5.837779448269249,6.1889231475700015,6.549145030793907,6.918382908558524,7.296565818568325,7.683614244577766,8.079440361748713,8.483948307645022,8.897034478028178,9.318587846541233,9.748490307294583,10.186617039296632,10.63283689160463,11.087012788007474,11.549002149991615,12.01865733668502,12.495826100421699,12.980352056521046,13.472075165832504,13.970832228556468,14.476457387817927,14.988782641438654,15.507638360329146,16.032853811900566,16.564257686881618,17.101678627914907,17.64494575830168,18.193889209263354,18.74834064409309,19.308133777579904,19.87310488910262,20.443093327810463,21.01794200833155,21.59749789547956,22.181612476463094,22.77014221914061,23.36294901490691,23.959900604844684,24.56087098782603,25.165740809304836,25.77439772960022,26.386736770534846,27.002660639358254,27.62208002895595,28.24491389341771,28.871089698114986,29.50054364351562,30.13322086204537,30.7690755873887,31.408071295706492,32.050180818334994],[-1.250574225981179,-1.2670778848800262,-1.2794829053447438,-1.287659237855555,-1.291470833968103,-1.290776066108064,-1.285428164580876,-1.2752756704481243,-1.26016290287318,-1.2399304394940351,-1.2144156083410942,-1.183452989782027,-1.146874926944891,-1.1045120430445339,-1.0561937640160073,-1.0017488448423348,-0.9410058979525928,-0.8737939220598498,-0.7999428298071871,-0.7192839725936766,-0.631650660960875,-0.5368786789341637,-0.4348067907318258,-0.3252772382783613,-0.208136227986917,-0.08323440530876525,0.04957268441439844,0.1904241502174271,0.3394533262732544,0.49678736047350736,0.6625468220976654,0.8368453297813483,1.0197892009317213,1.2114771236717132,1.4119998523254012,1.6214399273840856,1.8398714208172198,2.067359707514017,2.303961263560982,2.549723491977832,2.8046845764495147,3.068873363505621,3.342309273510808,3.6250022407407867,3.916952682728893,4.218151498977707,4.52858009903981,4.8482104598809395,5.17700521234858,5.514917756479227,5.861892405288411,6.217864556599921,6.582760892383955,6.95649960498915,7.338990649570376,7.7301360219334745,8.129830060939536,8.537959774535658,8.95440518840617,9.379039716168485,9.811730549971358,10.252339070290208,10.70072127365517,11.156728216991926,11.620206477204313,12.09099862458065,12.568943708562923,13.05387775438004,13.54563426901258,14.044044754928109,14.548939230001398,15.060146752015807,15.57749594612698,16.10081553366153,16.629934860618963,17.16468442424611,17.70489639605921,18.25040513969986,18.801047722026883,19.35666441586704,19.917099192873344,20.482200204970205,21.0518202528998,21.625817240423924,22.204054612779846,22.786401778037177,23.372734510055846,23.96293533180138,24.556893877835204,25.154507234861015,25.755680259276804,26.360325870752355,26.968365320926647,27.579728436395815,28.19435383524198,28.812189116434983,29.433191021522294,30.057325568108485,30.684568154712093,31.31490363667667],[-1.2523033737144909,-1.2792809553434457,-1.3019933224955031,-1.3203028627645916,-1.3340665021476665,-1.343136146517569,-1.3473591385861217,-1.3465787289474211,-1.340634559747886,-1.3293631594906152,-1.312598447447293,-1.2901722461211973,-1.2619148001800657,-1.2276553002575517,-1.1872224100070579,-1.140444794781613,-1.0871516503085203,-1.027173229727457,-0.9603413673658081,-0.8864899976350289,-0.8054556674469522,-0.7170780405688815,-0.6212003923612395,-0.5176700933711986,-0.4063390802900768,-0.28706431282134837,-0.15970821504948773,-0.024139099947797504,0.11976842428467371,0.27213306731093123,0.4330664903624202,0.6026729616942168,0.7810490348521908,0.9682832507448769,1.1644558644393381,1.3696385975240561,1.5838944168029263,1.807277340003239,2.039832269097201,2.2815948517512146,2.532591371330537,2.792838665798624,3.0623440757614864,3.341105421817308,3.6291110112812968,3.9263396742648977,4.232760828998178,4.548334576193725,4.873011822160916,5.20673443029071,5.549435400443445,5.9010390756862465,6.261461375741999,6.630610056429657,7.008384994295272,7.394678495555536,7.789375628400518,8.192354577630233,8.603487020530824,9.022638522830409,9.449668953513019,9.884432917210482,10.326780202838155,10.776556247090141,11.233602611363871,11.697757470642347,12.168856112825637,12.646731446970822,13.131214518872113,13.622135032390421,14.119321874923468,14.62260364539532,15.13180918313602,15.646768096019368,16.167311286229317,16.69327147203259,17.22448370394751,17.760785873716475,18.30201921451138,18.848028790828646,19.398663976562286,19.95377891977969,20.513232992766174,21.076891225949485,21.644624724365478,22.216311065379653,22.791834676437762,23.371087191679397,23.953967786314525,24.5403834877311,25.13024946237375,25.723489277508413,26.320035137065158,26.91982809083154,27.522818216350824,28.128964772964114,28.73823632752072,29.35061085136915,29.96607578832926,30.584628093435942],[-1.2473364270103775,-1.2845745907330075,-1.3173714307567521,-1.3455824594944836,-1.369058292383535,-1.3876451088305837,-1.4011851268444788,-1.4095170898924554,-1.412476764477483,-1.409897446901418,-1.401610477650265,-1.3874457618143614,-1.3672322939376542,-1.340798685676579,-1.3079736946403937,-1.268586752781145,-1.222468492702883,-1.1694512702660895,-1.109369681874807,-1.0420610748502632,-0.9673660493162144,-0.8851289500473456,-0.7951983467630819,-0.6974275013847979,-0.5916748208146476,-0.47780429383891754,-0.355685910807753,-0.22519606479631893,-0.08621793300954561,0.06135816274642192,0.21763441763834024,0.3827052284697974,0.5566569024079797,0.7395673906720432,0.931506048004791,1.132533418669885,1.3427010496348943,1.5620513315166162,1.7906173677795083,2.0284228725907543,2.2754820976472363,2.531799788200109,2.797371168412747,3.072181956097169,3.356208406783548,3.6494173869867605,3.951766476443918,4.263204099007453,4.583669681789793,4.9130938420686725,5.251398601376236,5.598497626111442,5.954296493933253,6.318692985112687,6.69157739794465,7.072832887246388,7.462335824898009,7.85995618131262,8.26555792665903,8.678999450598882,9.100133999243251,9.528810127980229,9.96487216877636,10.40816071050999,10.85851309085433,11.315763898192618,11.779745482016434,12.250288470232544,12.727222291781754,13.210375702957503,13.6995773157998,14.194656126934433,14.695442045225406,15.201766416612564,15.713462544514961,16.230366204194173,16.752316149490355,17.279154610367684,17.810727779733618,18.346886288030085,18.887485664132065,19.432386781131452,19.98145628563066,20.53456700922134,21.091598360878525,21.6524366990594,22.21697568235865,22.78511659763827,23.356768664619338,23.931849315996036,24.510284452207486,25.092008670081245,25.67696546464309,26.265107403470196,26.856396273049803,27.45080319669198,28.04830872363211,28.648902889048806,29.25258524481157,29.859364860863536],[-1.2354001784867452,-1.2826735686956052,-1.3253208728938795,-1.3631914503767053,-1.396130352557293,-1.4239788010803123,-1.446574677752512,-1.4637530247788355,-1.4753465537604793,-1.4811861618843318,-1.4811014537110028,-1.4749212669514304,-1.4624742006096838,-1.4435891438623356,-1.4180958040424718,-1.385825232099164,-1.346610343911065,-1.3002864358455093,-1.2466916929723277,-1.1856676883642066,-1.1170598719429279,-1.0407180473631152,-0.9564968354619805,-0.8642561228450476,-0.7638614942236872,-0.6551846471704224,-0.5381037880122461,-0.4125040076403321,-0.2782776360765773,-0.1353245747028815,0.016447394871949683,0.1771223262607382,0.34677584893993085,0.5254749348853052,0.7132776919215127,0.9102331844230536,1.1163812819199705,1.3317525360753955,1.5563680864145404,1.790239595096021,2.0333692109268124,2.2857495627318123,2.5473637820985573,2.818185555426811,3.0981792051225137,3.3872997996854703,3.6854932923511807,3.9926966878589347,4.308838236831601,4.633837657167414,4.967606381760479,5.310047831785761,5.6610577147051995,6.020524346075488,6.388328994164494,6.76434624631298,7.148444395911158,7.540485848796035,7.940327547815553,8.347821414249422,8.762814804724714,9.185150982216191,9.614669599678164,10.051207194815484,10.49459769446708,10.944672927045607,11.401263141452057,11.864197530864201,12.333304759782509,12.808413492707482,13.28935292281687,13.77595329901168,14.268046449704554,14.765466301734422,15.268049392806143,15.775635375874037,16.288067513912843,16.80519316354964,17.326864246064147,17.85293770430431,18.383275944107112,18.917747258862782,19.456226235912084,19.99859414352288,20.544739297251873,21.09455740456098,21.647951886625187,22.204834176338593,22.765123991599438,23.328749583030586,23.895647955371317,24.46576506185714,25.03905597098786,25.615485005169432,26.195025850801585,26.77766163947188,27.36338500000521,27.952198081208557,28.544112545240523,29.13914953162633],[-1.2162062802272038,-1.2732786525375914,-1.3255324467685021,-1.3728116219102953,-1.414956439693258,-1.4518039574801573,-1.483188531046285,-1.5089423256955778,-1.5288958341357253,-1.542878399514275,-1.550718742001857,-1.5522454872976756,-1.547287695426511,-1.535675388195548,-1.5172400736835154,-1.4918152661437292,-1.4592369997168486,-1.4193443343681929,-1.371979852488498,-1.3169901446257835,-1.2542262828495492,-1.1835442802866663,-1.1048055354110207,-1.017877259715985,-0.9226328874500851,-0.8189524661515772,-0.7067230267768796,-0.5858389322807973,-0.4562022035729263,-0.3177228218444865,-0.17031900633270425,-0.01391746666565652,0.15154637099105805,0.32612816468360606,0.5098744849300161,0.7028226710209626,0.9050007158046913,1.1164271793115592,1.3371111314847157,1.5670521241936495,1.806240192616965,2.0546558859900728,2.312270327622998,2.5790453040030217,2.8549333827073182,3.1398780587616386,3.4338139289935574,3.736666893842191,4.048354386001719,4.368785625193237,4.697861898278708,5.0354768638528284,5.381516880372796,5.735861356813647,6.098383124767022,6.468948830835334,6.847419348110481,7.233650205467441,7.627492033348139,8.02879102466003,8.437389409367286,8.853125941310086,9.275836395750002,9.705354076106069,10.141510328318144,10.584135061250233,11.033057271528115,11.488105571191808,11.949108716534727,12.415896136497718,12.88829845898751,13.366148033495719,13.849279448405554,14.337530041390242,14.830740401328118,15.328754860185736,15.83142197335118,16.338594986935515,16.850132290600406,17.36589785451466,17.885761649091364,18.40960004621065,18.937296200689744,19.46874041082356,20.00383045688313,20.542471916527386,21.08457845615531,21.630072097299045,22.17888345723632,22.730951963079562,23.286226038681196,23.84466326377835,24.406230504885894,24.970904017534,25.538669519534682,26.10952223505132,26.683466909335063,27.260517794082805,27.84069860346173,28.42404244093628],[-1.1894526847730433,-1.2560780866324075,-1.3176856505474803,-1.3741147150043238,-1.4252015503274933,-1.4707798638885787,-1.5106813132230665,-1.5447360254722229,-1.572773121547205,-1.5946212433980227,-1.6101090827603879,-1.619065909748954,-1.621322099665889,-1.6167096563992516,-1.6050627307961651,-1.5862181324112732,-1.560015833051426,-1.5262994605628264,-1.4849167813370237,-1.4357201700468853,-1.3785670651631508,-1.31332040884599,-1.2398490698542406,-1.1580282481673723,-1.0677398600716765,-0.9688729025224454,-0.8613237956578517,-0.7449967024076609,-0.6198038242105945,-0.4856656719278476,-0.3425113111168425,-0.19027858090838912,-0.028914285811888263,0.14162564014329515,0.32137599743671164,0.5103622136755739,0.7086002651346694,0.9160966274595408,1.1328482556850803,1.3588425936311408,1.5940576126462247,1.8384618795796488,2.0920146537725053,2.354666012768086,2.6263570063539285,2.9070198384601014,3.196578076352549,3.494946886475897,3.8020332962180916,4.117736480789109,4.44194807432854,4.774552504282115,5.115427348015375,5.464443710564149,5.821466622356189,6.186355455676809,6.558964358593409,6.939142704999984,7.326735559392974,7.721584154944258,8.123526383396229,8.532397295267229,8.948029608823985,9.37025422625043,9.798900755420378,10.233798035663858,10.674774665904947,11.121659533541372,11.574282342434024,12.032474138377141,12.496067830427778,12.964898706486027,13.43880494153487,13.917628096971745,14.401213609490759,14.889411268007263,15.382075677153088,15.879066705912257,16.3802499200129,16.885496996741175,17.394686120897063,17.90770236067064,18.424438022278615,18.944792982267025,19.46867499645483,19.995999984564918,20.526692289664403,21.060684911613635,21.59791971380359,22.138347602543604,22.681928678546278,23.228632360041686,23.77843747714128,24.331332337160262,24.887314760696803,25.446392088356937,26.0085811581041,26.57390825330358,27.14240902162173,27.714128365030795],[-1.1548251545774098,-1.2307491543904279,-1.3014502843811204,-1.3667640654222697,-1.4265235946565733,-1.480560060496436,-1.5287032635134006,-1.570782141609922,-1.6066252978530313,-1.6360615293411649,-1.6589203554722878,-1.6750325439832743,-1.684230633137382,-1.686349448448535,-1.68122661234802,-1.6687030452209264,-1.6486234562663533,-1.6208368226667318,-1.585196855587765,-1.5415624515710555,-1.4897981279266066,-1.429774440781736,-1.3613683844964508,-1.284463771212851,-1.1989515893674065,-1.1047303400598674,-1.0017063502409163,-0.8897940617521591,-0.7689162953266058,-0.6390044887350284,-0.49999890834334515,-0.3518488334282881,-0.1945127126825814,-0.027958292426733422,0.14783728386816897,0.3328874050537607,0.5271959509914135,0.7307572805804252,0.9435562491643603,1.1655682552617819,1.396759316477234,1.637086174358191,1.886496427874488,2.144928695108267,2.412312802655654,2.688570002155612,2.9736132132779467,3.267347292420636,3.5696693262873884,3.880468949439611,4.199628684842852,4.527024306357011,4.8625252220517305,5.20599487716427,5.557291175456421,5.916266917670353,6.282770255730484,6.656645161289831,7.037731907175156,7.425867560245268,7.820886484141773,8.22262085038091,8.630901156209514,9.045556747627089,9.466416345960244,9.893308576364621,10.326062496623575,10.764508124611904,11.208476962797132,11.65780251815988,12.112320815929039,12.571870905546593,13.036295357300858,13.505440748095676,13.979158134856725,14.457303514114134,14.93973826634334,15.426329583693082,15.916950879780785,16.41148218029079,16.909810493170163,17.411830157280008,17.917443168426168,18.426559481763512,18.939097289640674,19.45498327402786,19.97415283274885,20.496550278819186,21.022129012275364,21.550851663964853,22.082690210853396,22.617626062493578,23.15565011838798,23.696762796069926,24.240974029815142,24.78830323998828,25.338779273118938,25.892440312892063,26.44933376232736,27.009516097511337],[-1.1119988323783074,-1.1969597910051961,-1.2764881005463042,-1.3504162862303244,-1.4185751060996497,-1.4807940732277607,-1.5369019817781169,-1.5867274352813387,-1.6300993755006106,-1.6668476102534218,-1.6968033385609957,-1.7197996715049735,-1.7356721471842027,-1.744259238182655,-1.7454028499826242,-1.7389488087852754,-1.7247473372333335,-1.7026535165679872,-1.67252773379398,-1.6342361124731006,-1.587650925816802,-1.5326509908032961,-1.4691220421030455,-1.3969570846588284,-1.3160567238324705,-1.226329472099529,-1.127692031345573,-1.0200695498930124,-0.9033958534653812,-0.7776136493764039,-0.6426747033137987,-0.49853998817233425,-0.34517980447686014,-0.18257387202380126,-0.01071139245826469,0.1704089174062604,0.36077882162847974,0.56038059055233,0.7691870555140596,0.9871616926745643,1.2142587357183023,1.4504233170710181,1.6955916372005646,1.9496911614783894,2.2126408439942837,2.4843513776337334,2.764725469646292,3.0536581418546103,3.351037054577822,3.656742853269809,3.970649536802667,4.29262484625908,4.6225306730338565,4.960223484985462,5.305554769322485,5.658371490858612,6.01851656422195,6.385829338561737,6.760146093256799,7.141300543096139,7.529124351372919,7.923447649308566,8.324099560204324,8.73090872670279,9.143703839532684,9.562314166105146,9.986570077330683,10.416303571031087,10.851348790331311,11.291542535431788,11.736724767181936,12.186739100901153,12.641433288923455,13.100659690376805,13.564275726747656,14.032144321824898,14.504134324665788,14.980120914278725,15.459985984774114,15.943618509795012,16.43091488510288,16.921779248261593,17.416123774433007,17.913868947371586,18.414943804781803,18.919286157281203,19.426842780293658,19.93756957828041,20.451431720802493,20.968403749994376,21.488469659117463,22.011622941950886,22.53786661286725,23.06721319753144,23.59968469425107,24.135312506097964,24.674137344010003,25.216209101172392,25.761586699065973,26.310337905657537],[-1.0606398646426496,-1.154370242916507,-1.2424544938081281,-1.3247229838417582,-1.4010049777304805,-1.4711291652014564,-1.53492418959536,-1.5922191766089395,-1.6428442615492136,-1.6866311134723802,-1.7234134545901578,-1.7530275733408516,-1.7753128295420044,-1.790112150065922,-1.7972725135085978,-1.7966454223565393,-1.7880873611945534,-1.7714602395406476,-1.7466318179416072,-1.713476116014494,-1.6718738011749918,-1.621712556853128,-1.5628874290602082,-1.4953011502375655,-1.418864439387876,-1.3334962775629196,-1.2391241578577588,-1.1356843091399256,-1.0231218928232875,-0.9013911720794159,-0.7704556529643307,-0.6302881970251684,-0.48087110503928665,-0.32219617162745795,-0.15426471057259583,0.022912449234084864,0.20931499720698277,0.4049132037369789,0.6096680119258906,0.8235311581014386,1.0464453207409141,1.27834429734395,1.51915320870867,1.7687887299808978,2.027159347763515,2.294165642492561,2.56970059520883,2.853649917778359,3.1458924055428445,3.44630031131192,3.754739739543189,4.071071059493792,4.39514933606866,4.726824777036012,5.065943195230175,5.412346484315482,5.7658731066433235,6.126358591696884,6.493636043585677,6.867536656023828,7.2478902332031465,7.634525714953715,8.027271704571636,8.425956997685127,8.830411110527194,9.240464805984782,9.655950615801189,10.0767033573205,10.502560643179464,10.93336338237419,11.368956271155447,11.80918827223799,12.25391308084512,12.702989576150497,13.156282256724243,13.613661658639678,14.075004754950552,14.540195335306247,15.009124364533399,15.481690319077696,15.95779950026758,16.437366323433316,16.920313581989273,17.406572685664568,17.89608387214699,18.388796391487144,18.884668662693816,19.383668402037372,19.885772722665255,20.39096820522224,20.8992509392576,21.410626535291232,21.92511010750174,22.4427262270897,22.963508846460126,23.487501194458073,24.014755642980564,24.54533354537651,25.079305047133218,25.61674886943366],[-1.0004070699683338,-1.1026347656973225,-1.1990002235526132,-1.2893324990815707,-1.3734602169017358,-1.451212099501157,-1.5224174957367413,-1.5869069073998525,-1.6445125122243969,-1.6950686817235665,-1.7384124922574085,-1.7743842277542403,-1.8028278725347198,-1.8235915927178779,-1.8365282047236904,-1.8414956294265585,-1.8383573305583587,-1.826982736008293,-1.807247640719599,-1.779034589939894,-1.7422332416426185,-1.6967407070012612,-1.6424618678657974,-1.5793096702617246,-1.5072053930060725,-1.426078890611528,-1.335868809729182,-1.2365227784620099,-1.1279975679649636,-1.0102592258330185,-0.8832831808655994,-0.7470543188841128,-0.6015670293686513,-0.44682522276995496,-0.28284231844323493,-0.1096412032410492,0.07274583910696197,0.2642772276095844,0.46490221231742623,0.6745610309182766,0.8931850931412537,1.120697192400721,1.3570117440269476,1.6020350493483768,1.8556655848106942,2.117794315240541,2.388305030287281,2.667074703004687,2.9539738694660684,3.24886702824155,3.5516130585047954,3.862065655479096,4.180073781879204,4.505482133955905,4.838131620705289,5.177859854764119,5.524501653476477,5.877889548585658,6.237854302978613,6.604225432888342,6.976831733943067,7.355501809438877,7.740064599205876,8.130349907435857,8.526188927842952,8.927414764536671,9.333862947000206,9.745371937584947,10.161783629955222,10.58294383694535,11.008702766323562,11.43891548299478,11.873442356216156,12.31214949044529,12.754909138491804,13.201600095697422,13.652108073928154,14.106326054224802,14.564154617023402,15.025502248926834,15.490285625080936,15.958429866283826,16.42986877003513,16.904545014812143,17.3824103369426,17.86342567952829,18.347561312960117,18.83479692665246,19.325121691714116,19.81853429436217,20.315042939975857,20.81466532777781,21.317428596220893,21.823369239249104,22.33253299369084,22.844974698132255,23.360758123705807,23.879955777316432,24.402648677912364,24.928926106490913],[-0.930953644106673,-1.0414033518794956,-1.1457731590842974,-1.2438916645706155,-1.3355877092930326,-1.4206909044439726,-1.4990321572098395,-1.5704441925281976,-1.6347620692360545,-1.6918236890166036,-1.7414702965740054,-1.783546969492853,-1.8179030962708098,-1.8443928410493746,-1.862875593608801,-1.8732164032386454,-1.8752863951451881,-1.8689631681108505,-1.8541311721785725,-1.8306820651957656,-1.7985150471176752,-1.7575371710386203,-1.7076636299913832,-1.6488180186297923,-1.580932568987043,-1.503948359582302,-1.417815497230357,-1.3224932709933293,-1.2179502777994005,-1.104164519340947,-0.9811234699530922,-0.8488241152632225,-0.7072729614922131,-0.556486015378665,-0.396488734788095,-0.22731595015948347,-0.049011757031569125,0.13837062001949452,0.3347689916112717,0.5401123954482312,0.7543213152848374,0.9773079262829452,1.2089763660064161,1.4492230302167348,1.6979368925569451,1.9549998471374561,2.22028707296666,2.4936674191018176,2.775003809331823,3.064153665143129,3.3609693456636975,3.6652986032275354,3.9769850531540465,4.295868656292659,4.621786212843787,4.954571865932399,5.29405761338028,5.640073826097941,5.992449771496526,6.3510141403047395,6.715595575165192,7.0860231993791185,7.462127144167956,7.843739072824857,8.23069270013883,8.622824305488697,9.0199732380237,9.421982412371953,9.828698793347126,10.239973868157817,10.65566410466249,11.075631394255955,11.499743478020894,11.927874354829404,12.35990467013536,12.795722084257916,13.235221619019699,13.678305981670272,14.124885865095118,14.574880223384044,15.028216521908474,15.484830961136273,15.944668673493185,16.407683892663663,16.873840094808628,17.343110111264288,17.815476212374598,18.290930162198272,18.769473243921816,19.251116255900122,19.735879478336763,20.22379261070688,20.71489468011572,21.20923392087557,21.706867625672686,22.20786196878354,22.712291801885726,23.220240423093685,23.731799319931845,24.247067887038376],[-0.85192889308447,-0.9703234800836373,-1.0824200393667347,-1.1880475696468302,-1.2870359835670087,-1.3792166325263366,-1.4644228270663753,-1.5424903512125039,-1.613257969183004,-1.6765679229023789,-1.7322664187837726,-1.7802041022784634,-1.8202365187281386,-1.8522245590979494,-1.876034889214961,-1.8915403611875474,-1.8986204057362315,-1.8971614042253853,-1.887057039247852,-1.8682086226806978,-1.840525400199852,-1.8039248313140077,-1.7583328440537107,-1.7036840635297525,-1.639922013655628,-1.5669992914116166,-1.4848777131127755,-1.3935284322295072,-1.2929320283971615,-1.1830785673400213,-1.0639676315247555,-0.9356083214487794,-0.7980192275595157,-0.6512283728912296,-0.495273126596425,-0.3302000886386174,-0.15606494600227494,0.02706769913639384,0.21912452874759136,0.42002373517994496,0.6296752735883335,0.8479811397785935,1.0748356726118162,1.3101258800351,1.5537317877327714,1.805526809322246,2.0653781369522717,2.3331471510982844,2.6086898482904086,2.8918572854543267,3.1824960394938753,3.4804486806973767,3.785554258506811,4.097648798151078,4.416565806610787,4.742136786353464,5.074191755253917,5.41255977109549,5.757069459033829,6.107549540395539,6.463829361180133,6.825739418634438,7.193111884274696,7.565781121742511,7.943584197896694,8.32636138556401,8.71395665639747,9.106218162321497,9.502998704078253,9.904156185429542,10.309554051612608,10.719061710697108,11.132554936542935,11.549916252115636,11.971035291976614,12.395809142829595,12.824142661072537,13.255948766375251,13.691148710376709,14.12967231967303,14.571458212346354,15.016453987366521,15.464616386281001,15.915911426694333,16.37031450712511,16.827810482916856,17.288393712968887,17.752068077142575,18.218846964289565,18.688753230938747,19.16181913076963,19.63808621508948,20.117605204621572,20.60043583299999,21.086646662453955,21.57631487225046,22.069526020547894,22.56637378039559,23.066959650693775,23.571392643005996],[-0.762979985764634,-0.889041876712029,-1.0085882384117753,-1.1214493240035521,-1.2274569678147427,-1.3264451042568028,-1.4182502802415655,-1.5027121595363337,-1.5796740175015325,-1.6489832246843306,-1.7104917177760495,-1.7640564564801595,-1.8095398648811374,-1.8468102559522874,-1.875742237892657,-1.8962171010392375,-1.908123184160587,-1.9113562190016302,-1.9058196520164965,-1.8914249422966511,-1.868091834775028,-1.835748607863148,-1.7943322947571199,-1.7437888777296449,-1.6840734548085239,-1.615150378327347,-1.5369933649208654,-1.4495855766256183,-1.3529196728355979,-1.2469978329526121,-1.1318317496614654,-1.0074425928507043,-0.8738609442902638,-0.7311267032675568,-0.5792889634732026,-0.4184058615162498,-0.24854439753635393,-0.06978022846639487,0.11780256541652268,0.3141117399313389,0.5190471716241141,0.7325011667115384,0.9543587933836841,1.1844982364405627,1.4227911731683065,1.6691031692950515,1.923294093804822,2.185218551329452,2.4547263307842844,2.7316628688634337,3.015869726964321,3.307185080069961,3.605444216080409,3.910480044052745,4.222123609781204,4.540204617126671,4.864551953486881,5.194994217785898,5.5313602493537575,5.873479656064267,6.221183340101377,6.574304019731797,6.932676745473876,7.296139409070006,7.664533243692069,8.03770331383651,8.415498993397307,8.79777443044187,9.184388997255514,9.575207724265997,9.97010171650913,10.368948551350467,10.771632656235735,11.17804566530453,11.58808675376682,12.001662949010566,12.418689417480373,12.839089726442193,13.262796079826103,13.689749527419643,14.119900146766081,14.553207197206529,14.989639245590297,15.429174263265892,15.87179969405317,16.317512492987007,16.766319135712962,17.218235598505817,17.67328730897279,18.131509067593424,18.59294494033835,19.057648122698176,19.525680775542085,19.99711383331267,20.47202678514872,20.950507429611513,21.432651603771294,21.91856288748989,22.408352283811997,22.902137876451334],[-0.6637537170870824,-0.7972062814006746,-0.9239275274952514,-1.0437498112312977,-1.1565077290128545,-1.2620386281611498,-1.3601831087999408,-1.4507855157039118,-1.533694418592487,-1.6087630793870416,-1.6758499049897324,-1.7348188841868413,-1.7855400073285153,-1.8278896674899219,-1.8617510418759888,-1.8870144522928594,-1.90357770357378,-1.9113463989151636,-1.9102342311498202,-1.900163249058597,-1.8810640978986886,-1.8528762334064321,-1.8155481086142635,-1.7690373329053797,-1.7133108028153292,-1.6483448041769218,-1.5741250852932804,-1.4906469009132457,-1.3979150268734495,-1.2959437453618667,-1.1847568008483251,-1.0643873268179522,-0.9348777435336335,-0.7962796271429413,-0.6486535505334388,-0.4920688964273987,-0.32660364329267555,-0.15234412473031256,0.03061523691866075,0.22217222192525377,0.42221712858438076,0.6306331117132795,0.8472965431920603,1.0720773934338341,1.3048396326073988,1.5454416503744106,1.7937366928459415,2.0495733154100826,2.3127958500333783,2.5832448855941683,2.860757759765673,3.1451690609311163,3.4363111385820915,3.734014620625354,4.0381089360017315,4.348422841004636,4.664784947674098,4.987024252635895,5.314970664754029,5.648455529968351,5.987312151697911,6.331376305204267,6.68048674432761,7.034485699032097,7.393219362225197,7.756538364348828,8.124298234277973,8.496359845104525,8.872589843430895,9.252861060848733,9.637052906333064,10.025051738341098,10.41675121546752,10.8120526245743,11.210865185382527,11.613106330586383,12.018701960624991,12.42758667232592,12.839703960714917,13.255006393369179,13.673455756775954,14.095023174245288,14.519689195012582,14.947443854256441,15.37828670384636,15.812226813725488,16.249282743924176,16.68948248729067,17.13286338311567,17.579472001917164,18.029364001741342,18.482603956422594,18.939265156332844,19.399429382234878,19.863186652937472,20.330634947531017,20.801879903060726,21.277034488570187,21.756218656521114,22.239558972664998],[-0.5538982731782744,-0.6944672074078073,-0.8280918253925482,-0.9546074234998312,-1.0738521867994892,-1.1856676883642066,-1.2898993781157682,-1.3863970597087953,-1.4750153539804995,-1.555614147536406,-1.6280590250878841,-1.6922216842074604,-1.7479803312221236,-1.795220057023049,-1.8338331916321335,-1.8637196364312776,-1.884787173029287,-1.8969517478133362,-1.900137731306983,-1.8942781515344471,-1.8793149006710799,-1.8551989143423802,-1.8218903230183021,-1.7793585750357157,-1.7275825308694115,-1.6665505283607693,-1.59626041870282,-1.5167195730706582,-1.4279448598767535,-1.3299625927213374,-1.2228084491984763,-1.1065273608083568,-0.9811733743154836,-0.8468094849805738,-0.7035074421807457,-0.5513475280177733,-0.39041830959754664,-0.22081636574510588,-0.04264598899850691,0.14398113619894248,0.33894627811511224,0.5421240240907572,0.7533826675160946,0.9725846142281331,1.199586807074811,1.4342411673358426,1.6763950516382953,1.925891722956933,2.1825708342460612,2.4462689232105457,2.716819916689301,2.994055643094985,3.2778063513285987,3.5679012345679024,3.8641689573133777,4.166438184065509,4.474538108002056,4.78829897802402,5.107552622544063,5.432132968401092,5.761876553299976,6.096623030195019,6.436215662060995,6.780501805524954,7.129333381866623,7.4825673339339325,7.840066067563898,8.201697876146737,8.567337347023198,8.936865748461154,9.3101713960173,9.687149997153579,10.067704973044947,10.451747756585512,10.839198065673505,11.229984150931816,11.624043017099714,12.021320617412696,12.421772020370582,12.825361548379304,13.232062887838623,13.64185917033608,14.054743024696574,14.470716599727073,14.88979155758621,15.311989037799176,15.737339592029105,16.16588308980605,16.59766859550452,17.03275421694914,17.47120692611571,17.913102352480664,18.358524549656824,18.8075657360354,19.26032601023447,19.716913042232154,20.177441741137265,20.64203390062283,21.110817823116307,21.58392792390633],[-0.43306498950843064,-0.5804796881414838,-0.720740927887443,-0.8536877687116269,-0.9791627930047713,-1.097012591314896,-1.2070882357115011,-1.309245739321458,-1.4033465006186523,-1.4892577310964557,-1.566852865003395,-1.6360119498777266,-1.6966220166758692,-1.7485774283526254,-1.7917802058175933,-1.8261403302619943,-1.8515760209230527,-1.8680139874288435,-1.8753896559449683,-1.873647368425258,-1.862740554351689,-1.8426318744335823,-1.8132933358226921,-1.7747063784886636,-1.7268619324883479,-1.6697604459522521,-1.603411883701778,-1.5278356965015085,-1.443060761041425,-1.3491252908342384,-1.2460767183027839,-1.133971548421302,-1.0128751843622217,-0.8828617256864288,-0.744013739699737,-0.5964220066810619,-0.4401852397684287,-0.27540978036715025,-0.10220927002001812,0.07929570024799126,0.26897796202852664,0.4667041619239991,0.6723351730263083,0.8857265242104271,1.1067288459182842,1.3351883310573385,1.5709472095917523,1.8138442353617172,2.063715183628787,2.3203933578120175,2.5837101038512564,2.853495330610505,3.129578034715543,3.4117868282063997,3.6999504673764854,3.9938983811666295,4.293461197483587,4.598471265818951,4.908763174555949,5.224174261367798,5.544545115132838,5.8697200678176085,6.199547674810214,6.533881182221712,6.872578979713767,7.215505037455172,7.562529325859041,7.913528216805487,8.268384865111743,8.626989569072727,8.989240108959445,9.35504206243087,9.724309095885953,10.096963230856849,10.472935084621273,10.852164084291681,11.234598653720482,11.620196372644795,12.008924107579494,12.400758114054764,12.79568410988261,13.193697319226407,13.594802487337313,13.999013865912216,14.406355169118298,14.81685950042,15.230569250434142,15.647535966128283,16.06782019176609,16.49149128209035,16.918627188320237,17.349314217622926,17.783646766802015,18.22172703102426,18.6636646884835,19.109576561974826,19.559586258423053,20.013823787478053,20.47242516035353,20.935531970147338],[-0.300910093310194,-0.45490500109814214,-0.6015422079111337,-0.7406653415953741,-0.872122168542411,-0.9957650634251118,-1.1114514647142166,-1.2190443145698957,-1.3184124817509857,-1.4094311662369567,-1.4919822843141004,-1.5659548329377087,-1.6312452322459539,-1.6877576451686034,-1.7354042731443773,-1.7741056270344688,-1.8037907723963027,-1.8243975483606905,-1.835872759437028,-1.8381723396546854,-1.8312614885341074,-1.8151147784680832,-1.7897162331818284,-1.7550593770297964,-1.7111472549770976,-1.6579924232038752,-1.595616910361632,-1.5240521496010473,-1.4433388815810306,-1.353527028758288,-1.2546755413452866,-1.146852215411951,-1.0301334836923441,-0.9046041797418356,-0.7703572761724791,-0.6274935977743015,-0.4761215104077108,-0.3163565866269775,-0.14832124906655464,0.027855607309377195,0.2120390129285794,0.4040883400763602,0.6038577368201214,0.8111965770538574,1.0259499252740052,1.2479590146524502,1.4770617369315793,1.7130931426297438,1.9558859500136525,2.20527106126726,2.4610780842643707,2.723135858335017,2.991272982403267,3.2653183438668543,3.5451016465866663,3.830453936356935,4.121208122234741,4.4171994921201385,4.718266220996146,5.024249870260181,5.33499587660636,5.6503540289500265,5.970178931923009,6.294330454509339,6.62267416243715,6.955081732992571,7.2914313509756195,7.631608084576364,7.975504240011494,8.323019693827073,8.674062201842037,9.028547683779284,9.386400482705932,9.747553598482327,10.111948894499422,10.479537277066601,10.850278846896442,11.224143022219009,11.601108633145767,11.981163986991907,12.364306904355615,12.750544725842904,13.139894289417231,13.532381878443852,13.928043140589175,14.32692297782539,14.729075407879812,15.134563397556313,15.543458668443392,15.955841475608096,16.37180035995897,16.791431875041887,17.214840289111912,17.642137263400507,18.073441507570656,18.508878413423325,18.948579667985204,19.392682847171834,19.841330991279715,20.294672163617545],[-0.1570964215511612,-0.3174123605969086,-0.4701722778151747,-0.6152251503883925,-0.752424689482265,-0.8816297916383942,-1.002704974166786,-1.1155207931947544,-1.2199542430823085,-1.3158891359715486,-1.4032164602989434,-1.4818347171642436,-1.551650233518132,-1.6125774512022142,-1.664539190949502,-1.7074668905307622,-1.7413008163119184,-1.7659902475697011,-1.7814936329968343,-1.7877787189138261,-1.7848226487917631,-1.7726120337790099,-1.7511429940141974,-1.7204211705980241,-1.6804617081869293,-1.6312892082623471,-1.572937653219736,-1.5054503015116159,-1.428879554168161,-1.3432867931072194,-1.2487421917326729,-1.1453244984055542,-1.0331207934560585,-0.9122262204862106,-0.7827436927922959,-0.6447835758129137,-0.4984633465825117,-0.3439072312411944,-0.18124582171931292,-0.01061567277961295,0.16784111933969914,0.3539773553807928,0.5476411872680842,0.7486765866545921,0.9569238263670785,1.1722199732643501,1.3943993909880117,1.623294251054312,1.8587350507100755,2.1005511359548104,2.3485712281151256,2.6026239523466685,2.86253836643278,3.12814448824827,3.3992738202606603,3.675759869450566,3.9574386610468846,4.244149244491596,4.535734190073021,4.8320400746950005,5.1329179552832125,5.438223828367786,5.747819074424154,6.06157088560106,6.379352675515924,6.701044469853076,7.0265332765596105,7.355713434496617,7.688486939469937,8.024763746634445,8.364462048338773,8.70750852655312,9.05383857910127,9.403396518998768,9.75613574628209,10.112018891798748,10.47101793251445,10.833114277981792,11.198298827703354,11.566571999212467,11.937943726784848,12.312433430785148,12.69006995774296,13.070891491343232,13.454945434605701,13.842288263616837,14.232985353265871,14.627110775522247,15.024747070877279,15.425984993655032,15.83092323197845,16.23966810325468,16.65233322611935,17.069039169851962,17.4899130823441,17.915088297768722,18.344703925160672,18.77890441917827,19.217839134370227,19.661661864323406],[-0.0012951058748797983,-0.16768057085037125,-0.32631860547126923,-0.47706429097876146,-0.6197780143775939,-0.7543258992295538,-0.8805802187460943,-0.9984197899054288,-1.1077303473780176,-1.2084048961066394,-1.3003440414531218,-1.38345629589302,-1.4576583613119034,-1.5228753860321822,-1.57904119577739,-1.626098497861252,-1.6639990579714885,-1.6927038490028616,-1.7121831714802274,-1.7224167452000065,-1.7233937718073111,-1.7151129681156263,-1.6975825700662455,-1.6708203073152341,-1.6348533485263443,-1.5897182175386786,-1.5354606806677809,-1.4721356054879045,-1.3998067915311987,-1.3185467734262124,-1.2284365970831583,-1.1295655696165463,-1.022030983776827,-0.9059378177413513,-0.7813984111909769,-0.64853211867183,-0.5074649413118113,-0.35832913802823985,-0.20126281742629915,-0.03640951164753736,0.13608226651664923,0.3160594818799374,0.5033650490704353,0.6978383172373821,0.8993155657596068,1.1076305094261052,1.322614811530043,1.544098603292852,1.771911008015767,2.0058806683414017,2.245836274998454,2.491607095398077,2.743023500450775,2.9999174879783395,3.262123201105722,3.5294774400333546,3.8018201656106605,4.078994993157042,4.360849675006508,4.64723657028702,4.938013100485027,5.233042189389428,5.532192686057485,5.835339769497581,6.142365333820131,6.45315835266818,6.767615221803212,7.085640078789091,7.407145098787667,7.732050765553406,8.060286116790774,8.391788963117346,8.726506079956955,9.06439337177087,9.405416008120106,9.749548531139158,10.096774934089407,10.447088710749988,10.80049287549351,11.156999953984865,11.516631944531653,11.879420250205708,12.245405581944905,12.614637832934456,12.987175924655194,13.363087625073927,13.742449339536819,14.125345875011089,14.511870178402429,14.90212304975558,15.29621283122314,15.694255072762164,16.09637217559023,16.502693014501066,16.9133525402051,17.328491362922097,17.74825531851054,18.172795018472787,18.60226538522422,19.036825174060695],[0.16681278391003307,-0.0053996311107473716,-0.16968107612160188,-0.32589346064053504,-0.4739045452143342,-0.6135883494600605,-0.7448255407933975,-0.8675038026443738,-0.9815181810242928,-1.08677140837449,-1.1831742036976394,-1.2706455480455232,-1.3491129345132018,-1.418512591968208,-1.4787896818244097,-1.5298984672533775,-1.5718024543111322,-1.604474504544808,-1.6278969187317656,-1.6420614914927771,-1.6469695366107562,-1.6426318829769144,-1.6290688411768537,-1.6063101408196965,-1.5743948388036282,-1.5333711988009187,-1.4832965423342803,-1.4242370719040842,-1.3562676667122076,-1.2794716516128184,-1.1939405400030392,-1.0997737514468313,-0.9970783049034007,-0.8859684885067152,-0.7665655069150674,-0.6389971073188305,-0.5033971852604016,-0.359905371482641,-0.2086666010806122,-0.04983066628609589,0.11644824573522783,0.29001202864769615,0.47069914480269537,0.6583451236834157,0.8527830693993717,1.053844175664683,1.2613582466711564,1.475154222248889,1.6950607056939702,1.9209064926346242,2.1525210993038533,2.3897352885886005,2.6323815922321656,2.8802948275786364,3.133312607264761,3.391275840286642,3.6540292228950624,3.9214217178047703,4.1933070202390645,4.469544009371603,4.749997183772509,5.034537079515095,5.323040669653137,5.615391743835993,5.911481266890306,6.211207715261763,6.514477390278806,6.821204707271702,7.131312459654822,7.444732057157276,7.761403737466857,8.08127675063417,8.40430951566801,8.730469748838722,9.059734563293759,9.392090539677913,9.727533767540429,10.066069857401226,10.407713923438891,10.752490536854014,11.100433650051599,11.451586491876707,11.806001434226356,12.16373983044946,12.524871826033333,12.88947614216094,13.257639832806786,13.629458016120893,14.005033580929785,14.384476869260006,14.76790533586394,15.155443185798358,15.54722099117405,15.943375288259151,16.344048156179248,16.749386778514364,17.15954298914548,17.57467280375193,17.994935938405398,18.42049531674584],[0.3475346460058273,0.16972771513011908,0.00002650782547974906,-0.16143840379729446,-0.31454281468143996,-0.459169270074574,-0.5952074279501383,-0.7225543994816204,-0.8411150665189959,-0.950802375087763,-1.0515376040049498,-1.1432506077832456,-1.225880033073739,-1.2993735079794058,-1.363687803655199,-1.418788967696094,-1.4646524289015148,-1.5012630730928676,-1.528615289750244,-1.546712989324389,-1.5555695911705083,-1.5552079821411606,-1.5456604459659893,-1.5269685636362063,-1.4991830851012038,-1.4623637726731928,-1.4165792166230564,-1.361906623536428,-1.2984315780830418,-1.226247778934452,-1.145456749644974,-1.0561675253879663,-0.9584963165140645,-0.8525661499694999,-0.738506489680957,-0.6164528370783144,-0.4865463129879104,-0.34893322218644984,-0.20376460195917967,-0.05119575605532112,0.10861422452122671,0.275502952407217,0.4493052449467332,0.6298536338830782,0.8169788821031938,1.010510505840081,1.2102773007219634,1.4161078700449385,1.6278311536390948,1.8452769556962392,2.068276469930495,2.2966628004513767,2.5302714767420715,2.768940961153966,3.0125131473513997,3.2608338481686907,3.513753271374065,3.7711264818724475,4.032813848920984,4.298681476977277,4.568601618850959,4.842453069883727,5.120121541941617,5.401500016065423,5.686489072691187,5.9749971984217884,6.266941068403048,6.562245803433097,6.860845201011564,7.162681939615739,7.467707755573345,7.775883591986199,8.08717971924518,8.401575826764686,8.719061085653504,9.039634182128728,9.363303321569573,9.690086203198685,10.020009965468931,10.353111102324295,10.689435350593191,11.029037548861764,11.371981468262478,11.71833961570027,12.068193010123364,12.421630932529077,12.77875065047608,13.139657117953066,13.504462651530016,13.873286583791232,14.24625489511966,14.623499824968514,15.005159463819789,15.391377327088675,15.782301912288661,16.17808624082376,16.57888738582166,16.98486598746483,17.396185757314946,17.813012973160305],[0.5411648104316031,0.35798449462891924,0.18307499654953685,0.016558717411035317,-0.14144879282952671,-0.29083919201955855,-0.43151168011430796,-0.5633733102080927,-0.6863392753336952,-0.8003331701449437,-0.9052872266750343,-1.0011425234431321,-1.087849167264027,-1.1653664471998386,-1.2336629601787492,-1.2927167078931356,-1.3425151646781206,-1.3830553161610903,-1.4143436685629203,-1.4363962286222112,-1.4492384542044805,-1.4529051757487088,-1.4474404887936343,-1.432897617915411,-1.4093387524964713,-1.3768348548323508,-1.3354654411685862,-1.2853183363433178,-1.2264894027926858,-1.1590822447552065,-1.0832078885878373,-0.9989844401801649,-0.9065367205238004,-0.8059958805614817,-0.6974989965043139,-0.5811886468658503,-0.45721247251812125,-0.3257227211271214,-0.18687577737344996,-0.040831680407681814,0.11224636997060955,0.2721925168863826,0.43883875816142814,0.6120154647062479,0.7915519039319912,0.9772767665673641,1.1690186952549784,1.366606813296066,1.5698712519120601,1.7786436743961231,1.992757795537257,2.212049894714289,2.436359321076453,2.6655289892518637,2.899405864054194,3.1378414326920483,3.3806921630238804,3.6278199464445056,3.8790925240366043,4.1343838946722755,4.393574703805395,4.656552611755104,4.923212640344052,5.193457496821784,5.467197874073796,5.744352726189873,6.024849518541465,6.308624451596428,6.595622657780501,6.885798370778147,7.179115066750256,7.475545577033085,7.775072171970558,8.077686615621388,8.383390191172094,8.69219369697756,9.004117413241358,9.31919103943864,9.637453602674642,9.95895333726165,10.283747535885926,10.611902372823945,10.943492699753296,11.278601814788408,11.617321205453724,11.959750266387418,12.305995992646713,12.656172649561146,13.01040142015252,13.368810031209357,13.731532359169876,14.098708017029335,14.470481923546545,14.847003856078786,15.228427988424887,15.614912415102562,16.006618663527828,16.40371119560186,16.80635690024299,17.21472457843],[0.74798306813633,0.5596380899909037,0.37971853926938026,0.20833803460738665,0.04560289341208046,-0.1083881961936044,-0.2535444798855979,-0.38978341717259335,-0.5170309360851362,-0.6352216617340174,-0.7442991180327321,-0.8442159019615605,-0.934933829835559,-1.0164240551251296,-1.0886671574656237,-1.1516532025813224,-1.205381772938897,-1.2498619690357602,-1.285112381319336,-1.3111610328238892,-1.3280452927019244,-1.335811760916957,-1.3345161244534531,-1.3242229854876229,-1.3050056620492656,-1.2769459617897514,-1.240133929554203,-1.194667569536782,-1.1406525428763992,-1.0782018416259547,-1.0074354401011236,-0.9284799246844875,-0.8414681032273001,-0.7465385952541279,-0.6438354042348422,-0.5335074732437666,-0.41570822537705454,-0.29059509034639497,-0.15832901870979765,-0.019073985238372115,0.127003517048498,0.2797349906183362,0.4389504533459492,0.6044789630146823,0.7761491447801814,0.9537897199690524,1.1372300345808064,1.3263005858622696,1.5208335453296877,1.720663276624666,1.925626846606011,2.1355645281004847,2.3503202927611078,2.569742292512294,2.793683328096213,3.02200130327466,3.2545596632848888,3.491227816196547,3.731881535869533,3.9764033452693965,4.224682878957539,4.476617223637674,4.732111235707779,4.991077834837657,5.253438272666272,5.519122375789752,5.788068762290239,6.0602250311375645,6.335547923879206,6.614003458119708,6.895567032377629,7.180223501996542,7.467967225875736,7.758802083876583,8.052741464850724,8.349808225327076,8.650034618985115,8.953462197132131,9.260141680491385,9.570132802696962,9.883504125978087,10.200332829601752,10.520704471726349,10.844712725401198,11.172459089526553,11.50405257566593,11.839609371677245,12.17925248320048,12.523111354108327,12.871321467090768,13.224023925606216,13.581365018488961,13.943495768556566,14.310571466609952,14.682751192264,15.060197323087449,15.443075033566357,15.831551785437489,16.225796810963942,16.625980590747766],[0.9682532727695208,0.7749389034501004,0.5901933141559108,0.41412077314202844,0.246817833954323,0.08837303750132919,-0.06113336114988721,-0.20162964041084708,-0.3330528334776579,-0.45534892262302273,-0.5684730058747414,-0.6723894355664046,-0.7670719283327618,-0.8525036462103541,-0.9286772485931738,-0.9955949148830276,-1.0532683377647198,-1.1017186871267985,-1.140976544739197,-1.1710818098893299,-1.1920835762678146,-1.204039980483702,-1.2070180226766452,-1.2010933597795241,-1.18635007206945,-1.1628804037274714,-1.1307844782075351,-1.0901699892929488,-1.041151868793647,-0.9838519319096066,-0.9183985013547011,-0.844926011400795,-0.7635745930638622,-0.6744896417120758,-0.5778213684300819,-0.4737243365237713,-0.3623569845957215,-0.24388113766292685,-0.11846150782531617,0.013734813974181526,0.15253887352980255,0.2977803747024299,0.44928820488979704,0.6068909630159756,0.7704174884109989,0.9396973889486677,1.1145615668129345,1.294842740270517,1.4803759598397574,1.6709991172630505,1.8665534457122743,2.066884009683868,2.271840183071828,2.481276113943556,2.6950511745843597,2.9130303954219965,3.1350848814922934,3.361092210160792,3.5909368088732245,3.8245103117691785,4.061711894058634,4.3024485831295305,4.546635545426504,4.794196348215485,5.045063195426556,5.299177136847245,5.556488250020849,5.816955794288458,6.080548336499391,6.3472438480021465,6.617029772616579,6.889903065377583,7.165870201930699,7.444947158550716,7.727159362844842,8.012541615292637,8.301137981864724,8.593001658051712,8.888194804722783,9.18678835632053,9.488861801983735,9.794502940273695,10.103807608260635,10.416879385806386,10.73382927595566,11.054775362422156,11.379842445226409,11.709161655609577,12.042870051411509,12.381110194161437,12.724029709186514,13.071780830095182,13.424519929041239,13.782407034217844,14.14560533607034,14.514280683751608,14.888601073373586,15.26873612963412,15.654856582418542,16.047133739991146],[1.202222022097075,1.0041191055073646,0.8147163480536042,0.6341081465393819,0.46238080813188565,0.2996122840502695,0.14587192903733837,0.0012202873567552786,-0.13429109402391548,-0.26061982448787147,-0.3777328005706604,-0.48560630810509253,-0.5842260953942902,-0.673587417187095,-0.7536950493201386,-0.8245632739813953,-0.8862158356406935,-0.9386858677831604,-0.9820157906716802,-1.0162571804538274,-1.0414706100171642,-1.0577254620839645,-1.0650997151220807,-1.0636797027325562,-1.0535598472564236,-1.0348423684226695,-1.0076369679363828,-0.9720604909803228,-0.9282365656743823,-0.8762952216054476,-0.8163724886047237,-0.7486099770105497,-0.6731544407118584,-0.5901573243205576,-0.49977429587009947,-0.40216476648215016,-0.29749139848348416,-0.1859196034908832,-0.0676170320127456,0.05724694385767548,0.18850175306121497,0.3259761518912814,0.4694987523879033,0.6188985511768603,0.7740054571221562,0.9346508161636382,1.1006679317203572,1.271892579053875,1.4481635120043765,1.629322960536027,1.8152171175562855,2.0056966135070793,2.2006169772633832,2.3998390819170936,2.6032295740706255,2.810661285315624,3.0220136246271165,3.237172950462308,3.456032921415889,3.6784948243498308,3.90446787898522,4.133869518016242,4.3666256418820115,4.602670847410098,4.841948629626263,5.084411556107673,5.330021413341611,5.578749324638101,5.8305758392325595,6.0854909923035825,6.3434943357206635,6.604594939426951,6.8688113634528,7.13617160064646,7.4067129902986055,7.680482102927265,7.957534596578598,8.237935045087013,8.521756738824429,8.809081458553628,9.099999223083378,9.394608011504092,9.693013460860959,9.995328540197566,10.301673201975659,10.6121740119467,10.926963758617333,11.246181043513653,11.569969853508802,11.898479116533272,12.231862242039055,12.570276647635408,12.913883273357008,13.262846085063222,13.617331568500688,13.97750821559071,14.343546004526088,14.715615875282055,15.093889202159394,15.478537264987482],[1.4501174256518177,1.2473914746798338,1.0534844319089849,0.8684803509520964,0.6924548612856101,0.5254749348853069,0.36759867957583414,0.21887515973169447,0.0793442448829329,-0.050963513307320074,-0.17202697531385525,-0.2838344789780527,-0.38638387549294295,-0.47968253603362054,-0.5637473290125556,-0.638604568029979,-0.7042899306799573,-0.7608483484626776,-0.8083338681426437,-0.8468094849805734,-0.8763469483535846,-0.8970265403634516,-0.9089368281160644,-0.9121743904364625,-0.9068435198627034,-0.8930559008380929,-0.8709302650947648,-0.840592025291959,-0.8021728880394607,-0.7558104475002603,-0.7016477608264249,-0.6398329067382318,-0.5705185286086181,-0.49386136346281884,-0.4100217583465289,-0.3191631755548876,-0.22145168824897055,-0.11705546801612621,-0.006144265955351003,0.11111111111111094,0.23453932768374663,0.36396904826303955,0.4992294660267489,0.6401508298758749,0.7865649682230729,0.9383058079072633,1.0952098866333089,1.2571168573555163,1.4238699830486465,1.5953166203397668,1.7713086905085966,1.951703136403071,2.136362363860197,2.325154666270193,2.517954630973815,2.714643526238932,2.9151096676222377,3.1192487625856735,3.326964232304202,3.538167509671931,3.752778312587089,3.970724891672554,4.191944251667612,4.416382345807758,4.643994242592801,4.874744264428682,5.108606097715166,5.345562874039782,5.585607222227436,5.828741291085098,6.07497674277139,6.324334716811516,6.57684576486861,6.832549756472717,7.09149575599834,7.3537418712701275,7.619355074263854,7.888410994455969,8.16099368545929,8.437195365665024,8.717116133691258,9.000863659516101,9.288552852248378,9.580305505561094,9.876249921881737,10.176520516498917,10.481257402807127,10.790605959969144,11.104716384330349,11.42374322596896,11.747844911812296,12.077183256790518,12.411922964536295,12.752231119170984,13.098276669745488,13.450229908926744,13.808261947538165,14.172544186575688,14.543247788328378,14.920543148235621],[1.7121479647772437,1.5049483341600034,1.306673137326105,1.1173956646474748,0.9371804899585106,0.7660832713053818,0.6041505792061113,0.45141975295137815,0.3079187853894292,0.17366623655061797,0.04867117637809415,-0.06706684325864942,-0.17355778718101478,-0.270821106153585,-0.3588856768663411,-0.43778971283199386,-0.507580646473379,-0.5683149827647367,-0.6200581248784953,-0.6628841723755421,-0.6968756925616904,-0.7221234657158546,-0.7387262049760608,-0.7467902517476213,-0.746429247573329,-0.7377637834781585,-0.7209210278704636,-0.6960343341478294,-0.6632428292183616,-0.6226909842070811,-0.574528168672064,-0.518908189705849,-0.4559888173442741,-0.38593129774714985,-0.3088998556529181,-0.22506118764252747,-0.1345839477761286,-0.037638227189721096,0.06560497074247906,0.17497425806049538,0.29029839105774125,0.41140679867504737,0.5381301088191648,0.6703006709816905,0.8077530735458471,0.9503246541848562,1.0978560017770551,1.2501914482889906,1.4071795491087535,1.5686735503474125,1.7345318416666275,1.9046183932351952,2.0788031754662266,2.2569625602398307,2.4389797023732487,2.624744900161389,2.8141559338752686,3.007118381173852,3.2035459084560998,3.4033605372541533,3.606492884845745,3.8128823783433075,4.0224774415992695,4.2352356543507454,4.451123883112608,4.67011838341503,4.892204873070037,5.117378576240997,5.345644238179069,5.577016110581129,5.811517907614366,6.049182732743235,6.290052976584539,6.534180186105836,6.781624905570796,7.032456489722227,7.286752889779271,7.544600412909125,7.806093455915372,8.071334213964775,8.340432365251178,8.613504732569659,8.89067492284505,9.172072945727209,9.457834812429853,9.748102116050816,10.043021594668732,10.34274467856417,10.647427022962455,10.95722802773982,11.27231034557504,11.592839380064074,11.918982775346441,12.250909898818097,12.588791318526985,12.932798276863847,13.283102162172248,13.639873979908257,14.003283824981516,14.373500356906025],[1.9885014507613472,1.7769605906984158,1.5744359391637426,1.3809896570265154,1.196674939777338,1.021535853386842,0.8556071983345799,0.6989144022277649,0.5514734413411801,0.4132907913203725,0.2843634072002319,0.1646787328006145,0.054214739470018314,-0.04706000594223614,-0.13918624409505975,-0.22221389744515596,-0.2962019162049945,-0.3612180964444984,-0.4173388708977308,-0.46464907312006165,-0.5032416757235447,-0.533217503498207,-0.5546849223044557,-0.5677595046965611,-0.572563673308979,-0.5692263231058852,-0.5578824236595228,-0.5386726026845814,-0.5117427121136622,-0.47724337805276473,-0.43532953600545543,-0.3861599527998496,-0.32989673669355946,-0.26670483716823723,-0.19675153595716655,-0.12020593087639764,-0.03723841405212669,0.05197985384567749,0.14727747174108874,0.24848332703183784,0.35542712357881134,0.46793990717624134,0.5858545868812033,0.7090064505937643,0.8372336732969328,0.9703778163881291,1.108284316561464,1.250802962732292,1.3977883595324376,1.5491003759459296,1.7046045777009011,1.864172642083481,2.0276827538936897,2.1950199813215954,2.3660766305838874,2.540752578226621,2.7189555800687475,2.900601555833156,3.0856148485869657,3.2739284581905235,3.46548424803478,3.6602331244291144,3.8581351880861168,4.059159857235848,4.263285961989766,4.470501809663062,4.680805220853932,4.8942035361683836,5.110713593569875,5.330361676423655,5.5531834323961355,5.779223763459516,6.008536687341092,6.241185170844757,6.477240935558989,6.716784236550859,6.959903614728896,7.206695623638971,7.457264531536159,7.71172199965191,7.9701867376492235,8.232784137329052,8.499645885718094,8.770909558731873,9.046718196666923,9.327219862831916,9.612567186679684,9.9029168928498,10.198429317574972,10.499267913943354,10.805598747543497,11.117589984048012,11.435411370317226,11.75923371062384,12.089228339614817,12.425566593636756,12.768419282056,13.11795616020483,13.47434540557994,13.837753098909667],[2.279344086267108,2.0635768805130077,1.8569034485590123,1.6593745111283902,1.4710316195284174,1.2919070274385869,1.12202359138781,0.9613947002277239,0.8100242338196969,0.6679065510630307,0.5350265073012859,0.41135950105302843,0.29687154992279996,0.19151939545808094,0.09525063662869615,0.008003891516797923,-0.07029101328149512,-0.1397128261272158,-0.20034862735055903,-0.252293560553551,-0.29565053903247573,-0.33052992822593286,-0.35704920516837046,-0.3753325959998923,-0.3855106926508509,-0.38772004988398967,-0.3821027639375181,-0.36880603406926316,-0.34798170835481246,-0.319785815141143,-0.28437808160149736,-0.24192144087706402,-0.19258152932624117,-0.13652617543278112,-0.07392488194985702,-0.004948302877961996,0.07023228310951513,0.15144550116821542,0.23852040908148875,0.3312870247241382,0.4295768505636903,0.5332233935807582,0.6420626790042356,0.7559337562761099,0.8746791956846944,0.9981455741338341,1.1261839485492053,1.258650315460939,1.3954060553444658,1.5363183603485344,1.6812606440905602,1.8301129322548724,1.9827622327885666,2.1391028845527345,2.2990368833532138,2.462474184344882,2.629332979876369,2.7995399519178745,2.973030498293191,3.1497489320178484,3.329648653128335,3.5126922924721438,3.6988518270150115,3.8881086663095132,4.080453709858236,4.27588737519451,4.474419596594052,4.6760697944215135,4.88086681520649,5.088848842633926,5.300063279723541,5.51456660256184,5.732424186038031,5.95371010212157,6.178506891303764,6.4069053079086835,6.639004040059261,6.8749094051626525,7.114735021854486,7.358601459414244,7.606635865733547,7.858971574985329,8.115747696204444,8.3771086840492,8.643203893068323,8.914187116848664,9.190216113465722,9.471452118701214,9.75805934852977,10.050204492409815,10.348056198942288,10.65178455548411,10.9615605633222,11.277555610027495,11.599940940616962,11.928887129155557,12.264563552428427,12.607137867307527,12.95677549342517,13.313639102750955],[2.584819634750108,2.364922826493406,2.15418276021033,1.9526384630061175,1.7603196343559124,1.577246554463294,1.40343002168315,1.2388713192019951,1.0835622110785368,0.9374849676567085,0.8006124202727583,0.6729080450875847,0.5543260757856432,0.4448116447926801,0.34430095257654614,0.25272146450869304,0.16999213467890728,0.0960236559726797,0.030718735639559958,-0.02602760449780339,-0.07432770412026901,-0.11430091777396179,-0.14607324658678222,-0.16977694947604993,-0.18555013504694973,-0.19353633544102689,-0.19388406344968034,-0.18674635425923158,-0.17228029324157368,-0.1506465312474643,-0.12200878889808231,-0.0865333514044222,-0.0443885554733241,0.004255730116647816,0.05922862866672396,0.12035878281951484,0.18747488330372863,0.2604061975305132,0.3389830964103724,0.42303757776509343,0.5124037847196394,0.6069185174744318,0.706421736878901,0.8107570582524435,0.9197722339290666,1.033319623036739,1.1512566470619083,1.2734462297934694,1.3997572202886834,1.530064797555941,1.6642508557056537,1.8022043683808648,1.9438217313430581,2.089007082156094,2.237672595981829,2.3897387565747303,2.545134601639262,2.7037979417929883,2.865675552459761,3.0307233381008354,3.1989064682772357,3.3701994851234405,3.544586381900853,3.7220606523885937,3.90262531095928,4.086292883277789,4.273085367651741,4.463034167152958,4.656179992719314,4.852572737536026,5.052271323083923,5.255343517329814,5.461865725619867,5.671922754921303,5.8856075521398,6.103020917320117,6.324271192614833,6.549473927981016,6.778751524636244,7.012232857374241,7.250052876905439,7.49235219344959,7.739276642865198,7.990976836654597,8.2476076972332,8.509327979896831,8.776299782962312,9.048688047592629,9.326660048850224,9.610384879548679,9.90003292849558,10.195775354736345,10.497783559421434,10.806228656926507,11.121280946857448,11.443109388569477,11.771881079821778,12.107760741176309,12.450910207731706,12.801487929760778],[2.905048702013974,2.6811004104121663,2.466356917181572,2.260845360775057,2.0645834404152597,1.8775793614814091,1.6998318101905903,1.5313299576515929,1.372053493278814,1.2219726874631318,1.0810484833063605,0.9492326171362302,0.8264677674300295,0.712687731687386,0.6078176307064227,0.5117741396329727,0.4244657450699121,0.34579302745328055,0.27564896782387205,0.21391927804771826,0.16048275346652607,0.1152116468899238,0.07797206277551283,0.04862437038043499,0.027023634609623315,0.01302006323130045,0.006459469079783897,0.007183745819413612,0.01503135580157211,0.029837828509454156,0.05143626805256951,0.07965786814504261,0.11433243297867723,0.15528890238356885,0.20235587965581137,0.2553621604236248,0.3141372609200157,0.37851194403192145,0.44831874150264883,0.523392470676278,0.6035707441895646,0.6886944710386069,0.7786083474741876,0.873161336211056,0.972207132472509,1.0756046154322076,1.183218283660274,1.294918673230024,1.4105827571952243,1.530094325205241,1.653344342086715,1.7802312842853318,1.9106614531295358,2.0445492639495937,2.1818175101598722,2.3223976014894863,2.4662297756262284,2.6132632826207027,2.7634565414817014,2.9167772684795765,3.0732025767617746,3.2327190469730844,3.3953227686627647,3.561019352350722,3.729823912215549,3.901761019457827,4.076864626482574,4.255177962134844,4.4367533983116525,4.62165228836192,4.80994477777295,5.001709587727719,5.197033772200725,5.396012449341995,5.59874850797804,5.805352290135425,6.015941250566521,6.230639594328099,6.449577893530955,6.672892684443213,6.900726046190471,7.13322516235275,7.370541866811024,7.612832175244635,7.8602558037252654,8.112975675892862,8.37115742023424,8.63496885901549,8.904579490445254,9.180159965666615,9.461881562191525,9.749915655402454,10.044433189752027,10.345604151292417,10.653597043161913,10.96857836564731,11.290712102426252,11.620159214574961,11.957077143902513,12.301619327144365],[3.240128133494072,3.0121874632803376,2.793484495902077,2.584034345537885,2.3838426227076686,2.192905416960685,2.0112093089417264,1.8387314117982343,1.6754394418005658,1.5212918179575095,1.376237790319672,1.2402175965748437,1.1131626464521407,0.9949957333659298,0.8856312726464762,0.7849755656222265,0.6929270887388649,0.6093768068230327,0.5342085095240954,0.46729916989582077,0.40851932401152424,0.35773347044132686,0.3148004883588915,0.27957407298751336,0.25190318704194303,0.23163252677296242,0.2186030011766703,0.21265222288982155,0.21361500925649757,0.2213238920200039,0.23560963406727864,0.2563017516313282,0.28322904034037233,0.31622010349050533,0.3551038809118223,0.3997101767961274,0.4498701848575446,0.505417009205584,0.5661861793234406,0.6320161575624963,0.7027488375870918,0.7782300322315434,0.8583099492640753,0.942843653589619,1.0316915144653178,1.1247196363487721,1.22180027204961,1.3228122169095398,1.4276411827945912,1.5361801507455604,1.6483297011984845,1.7639983207562429,1.8831026845646646,2.0055679134218765,2.131327804827503,2.260325037258835,2.3925113470436017,2.527847677283617,2.6663042983697607,2.807860899716428,2.952506652432408,3.100240242734788,3.2510698760027967,3.4050132514590707,3.5620975075564774,3.7223591382389962,3.885843880335056,4.05260657243079,4.222710985658663,4.396229626923618,4.5732435151738695,4.753841931406746,4.938122143180909,5.126189104485056,5.318155131889162,5.514139557977542,5.7142683631331295,5.918673786809146,6.127493919487577,6.3408722765836245,6.558957355610771,6.781902177973031,7.0098638167980925,7.243002912268418,7.481483175945705,7.725470885618222,7.975134372229782,8.230643500473365,8.492169144652223,8.759882661425678,9.03395536106657,9.314557978861814,9.601860148287173,9.896029877581771,10.197233031337518,10.505632818703019,10.821389289781159,11.14465884177437,11.47559373640133,11.814341630074264],[3.5901305302814084,3.358237276394182,3.135599313436358,2.922219655780548,2.7180917972058785,2.523199730973749,2.3375179992186403,2.161011771501572,1.9936369522838067,1.8353403169891906,1.6860596762352908,1.5457240677265718,1.414253975217497,1.2915615738699262,1.1775510012477184,1.0721186531123583,0.975153503106888,0.8865374453417206,0.8061456588252458,0.7338469926147253,0.6695043704990533,0.6129752139646774,0.564111882139567,0.5227621273577281,0.48876956493855916,0.4619741557314887,0.44221269993693935,0.42931934067987365,0.4231260757820793,0.42346327615405965,0.43016020920696274,0.44304556566949693,0.4619479881842723,0.4866966000525199,0.5171215324956748,0.5530544488068975,0.5943290637751932,0.6407816567793829,0.6922515769687096,0.7485817389712792,0.8096191076007713,0.8752151700657862,0.9452263942247789,1.0195146714725645,1.0979477428918238,1.1803996073546557,1.2667509103149348,1.3568893120918042,1.450709834507911,1.5481151848128054,1.649016055891978,1.7533314018352162,1.8609886880139699,1.9719241148960915,2.086082814907326,2.2034190217321292,2.3238962115314017,2.447487215641389,2.574174304406026,2.7039492418840174,2.8368133112618823,2.9727773108945064,3.1118615209854674,3.2540956410099104,3.3995186980730736,3.548178926487238,3.7001336189386755,3.855448949703856,4.014199770460365,4.176469379322638,4.342349263815116,4.511938818575973,4.68534503866243,4.862682189404027,5.044071453822548,5.229640558706546,5.419523380494226,5.613859532180848,5.812793932525221,6.016476358884626,6.2250609850578895,6.438705905562722,6.657572647815154,6.881825673716332,7.111631872184624,7.347160044198798,7.588580381941366,7.836063943649144,8.089782125791519,8.349906134205021,8.616606455816173,8.890052332582586,9.17041123927556,9.457848366715607,9.75252611205531,10.054603577682506,10.364236080289778,10.681574671625238,11.006765672403338,11.339950220813863],[3.955103886305419,3.7192783350168805,3.4927102584864667,3.275390556216764,3.0673006377603484,2.8684124800829567,2.6786887140320816,2.4980827396442096,2.326538869934874,2.1639925027278646,2.010370319993382,1.865590514080057,1.729563040142766,1.6021898939873473,1.4833654144748907,1.3729766095524956,1.2709035049044872,1.1770195141482838,1.091191829432632,1.0132818312329643,0.9431455160794107,0.8806339408976468,0.8255936825915193,0.77786731144934,0.7372938769130971,0.7037094042116837,0.6769474003257139,0.656839367722713,0.6432153242774855,0.6359043277733801,0.6347350033660385,0.6395360723820711,0.650136880820986,0.6663679259296091,0.6880613792241883,0.7150516043463256,0.7471756681548324,0.784273843476466,0.8261901019642497,0.8727725955425953,0.9238741249536768,0.9793525939592838,1.0390714477966734,1.1029000945354925,1.1707143080356384,1.242396611262662,1.317836638777964,1.3969314772852603,1.479585983182525,1.5657130761395637,1.6552340077953418,1.7480786047459804,1.8441854850736292,1.9435022477481145,2.045985634316916,2.1516016623845764,2.2603257304696616,2.37214269391573,2.4870469116220875,2.6050422634500983,2.7261421382514013,2.850369392554908,2.977756280040111,3.1083443520142855,3.242184329200701,3.379335945233436,3.5198677623417214,3.6638569597925486,3.811389095744306,3.962557843246318,4.117464701198829,4.276218681165371,4.438935971003845,4.605739576354241,4.776758941089243,4.952129547898853,5.131992500241459,5.316494086951364,5.50578533084613,5.700021522726672,5.899361742207885,6.103968366858492,6.314006571164564,6.529643816862846,6.751049336216466,6.978393609827453,7.211847840597374,7.451583425459194,7.697771426510469,7.950582043179642,8.21018408705432,8.476744460991796,8.750427644119293,9.031395184312874,9.319805199721104,9.615811890871608,9.919565064865886,10.231209673130651,10.550885364151906,10.878726052571967],[4.335071348488757,4.095314176026063,3.8648012469715307,3.643511391436613,3.4314140276513747,3.228469256328403,3.034627983777079,2.8498320733883515,2.6740145250225695,2.5070996817468507,2.3490034632840855,2.1996336254532243,2.0588900448003216,1.926665027542068,1.8028436418685305,1.687304072579731,1.5799179969617971,1.4805509807428636,1.3890628929069573,1.3053083380859043,1.2291371051950581,1.1603946309285293,1.0989224766837398,1.0445588174436953,0.997138941108466,0.9564957567351249,0.9224603101179056,0.8948623051176936,0.8735306291322208,0.8582938810855603,0.8489809003077434,0.8454212946725737,0.8474459663640015,0.8548876336487431,0.8675813470451457,0.8853649982955976,0.9080798205719832,0.9355708783707362,0.9676875455858573,1.0042839702847448,1.0452195247527098,1.0903592394175083,1.1395742193149654,1.1927420418106245,1.249747134350216,1.3104811310733324,1.374843207189946,1.442740390088005,1.514087846212137,1.5888091428282811,1.6668364838665117,1.7481109191143624,1.832582526115127,1.9202105642098952,2.010963600247988,2.104819605577904,2.201766024019498,2.3017998106076605,2.4049274409879393,2.511164891435116,2.6205375895564047,2.733080335831357,2.848837196230606,2.967861366244754,3.0902150067429894,3.2159690521678885,3.3452029916582577,3.4780046237753783,3.6144697855894803,3.7547020569623943,3.898812440938824,4.0469190212324815,4.199146597863896,4.35562630207423,4.516495191703312,4.681895828280409,4.851975837132642,5.026887451868472,5.206787044641688,5.391834643645453,5.582193439325108,5.778029280833536,5.979510164282681,6.1868057143703705,6.400086660981959,6.619524312381721,6.845290026619656,7.077554682784607,7.316488153735309,7.562258781936272,7.815032860015901,8.07497411764965,8.34224321635145,8.6169972537324,8.899389278756242,9.18956781948756,9.487676424789676,9.79385322138657,10.108230487655439,10.430934245465142],[4.730031101072678,4.486323370238581,4.251831302406443,4.026521764091137,3.810352335029777,3.603271439074791,3.405218503338615,3.2161241450989753,3.03591038588802,2.8644908921047043,2.7017712414079975,2.5476492140689126,2.4020151083823595,2.2647520791655804,2.135736498298681,2.014838336194776,1.9019215630226607,1.7968445684439949,1.699460598569847,1.6096182087883084,1.527161731065927,1.4519317542810368,1.3837656161068628,1.322497904926625,1.2679609702319226,1.2199854399295047,1.178400742960204,1.1430356356174316,1.113718729941213,1.0902790225573313,1.0725464223297871,1.0603522751984296,1.0535298845823102,1.0519150257429875,1.0553464525206504,1.0636663948794611,1.0767210457268805,1.0943610355048332,1.116441893088298,1.142824491569169,1.1733754775498615,1.2079676826220214,1.2464805157606742,1.2888003354230269,1.3348208002037676,1.3844431969648694,1.4375767454274186,1.4941388782856015,1.554055495978531,1.6172611953337792,1.683699471377105,1.7533228916856738,1.8260932427467733,1.901981647870424,1.9809686562920412,2.0630443031902246,2.148208140434466,2.236469237967915,2.327846155820927,2.422366886841746,2.5200687703210525,2.6209983767768694,2.725211364255366,2.8327723065909405,2.9437544941555176,3.0582397077118744,3.1763179660687886,3.298087248316662,3.4236531915006925,3.55312876466446,3.686633920269708,3.824295224067914,3.9662454645657004,4.1126232432891845,4.263572547111495,4.4192423039631334,4.579785923296075,4.745360822719588,4.916127942268352,5.092251247801713,5.273897225066343,5.461234365983524,5.654432648746067,5.853663013329191,6.059096834033696,6.270905390688945,6.489259340147397,6.714328189701359,6.9462797740468964,7.185279737408716,7.431491022424048,7.685073367362608,7.946182813234039,8.214971222303706,8.491585809502542,8.776168688176849,9.06885643157963,9.369779651456641,9.679062595027354,9.996822761604548],[5.139956374691148,4.892259629500884,4.653734760678066,4.4243368367225075,4.2040118108697015,3.992696687858933,3.790319718313082,3.5968006201303755,3.412050826204924,3.235973757711686,3.068465122112605,2.9094132349643758,2.758699364534865,2.616198098164831,2.48177772924449,2.3553006636108504,2.236623844111847,2.1255991920272,2.0220740639839745,1.9258917229569343,1.8368918219003847,1.7549108985191864,1.679782879652264,1.6113395937122696,1.5494112896002048,1.4938271604938274,1.444415870893623,1.4010060853000765,1.363426996890946,1.3315088545672336,1.3050834867415908,1.2839848202529425,1.2680493928061491,1.2571168573555163,1.251030476875808,1.2496376079940879,1.2527901719900785,1.2603451117117124,1.2721648329959998,1.288117629233155,1.3080780877639384,1.3319274768562162,1.359554112066682,1.3908537008572792,1.4257296644029678,1.4640934355978577,1.5058647323401748,1.5509718052528014,1.5993516590750194,1.6509502470423254,1.705722637654531,1.7636331533175722,1.824655480431215,1.8887727505829914,1.955977592597806,2.026272155282629,2.0996681007960794,2.1761865686633675,2.2558581105476234,2.338722595978891,2.4248290893316744,2.5142356984306202,2.6070093952515094,2.7032258092707835,2.8029689941012688,2.9063311681341597,3.0134124299875547,3.1243204496395593,3.239170136198995,3.3580832833388756,3.4811881934866724,3.608619281931018,3.7405166620663843,3.8770257130555645,4.018296631243933,4.164483966709708,4.315746146380201,4.472244985185585,4.634145186758519,4.801613835220362,4.97481987962203,5.153933612630444,5.339126145069027,5.530568877933713,5.728432973513567,5.932888827247971,6.144105541950043,6.362250406018583,6.587488377248653,6.819981573833497,7.059888774128447,7.307364926720297,7.562560672313903,7.82562187891133,8.096689191717715,8.375897599162808,8.663376016377132,8.959246887408124,9.26362580740357,9.576621165928247],[5.564795580148249,5.313052038009756,5.070421598195532,4.836847755731334,4.612265107444736,4.39659955377485,4.189768527415862,3.9916812480888586,3.802239002655813,3.6213354497114127,3.4488569477128657,3.2846829056351963,3.1286861550700524,2.980733342619847,2.8406853413764748,2.708397680214916,2.5837209895770936,2.466501462370469,2.3565813285592045,2.2537993419834894,2.1579912779048813,2.0689904397424326,1.9866281734359919,1.9107343878495602,1.8411380796089205,1.7776678607540979,1.7201524875785037,1.6684213890229707,1.6223051929942478,1.5816362489839348,1.5462491453752514,1.5159812198414218,1.4906730612607813,1.470169001599877,1.4543175962468005,1.4429720913126198,1.4359908764589955,1.4332379218547229,1.4345831979129153,1.4399030765136798,1.4490807124742582,1.4620064040895604,1.4785779316305996,1.4987008727563442,1.5222888938657508,1.5492640164909663,1.5795568579097168,1.6131068452344406,1.6498624023175628,1.6897811088962,1.7328298314852235,1.7789848256148066,1.8282318090969736,1.8805660060950933,1.9359921618603244,1.9945245280895443,2.0561868189499437,2.1210121379059723,2.189042875574436,2.2603305789228965,2.334935792215018,2.4129278701936046,2.494384764077811,2.5793927810348247,2.6680463178682343,2.7604475697447937,2.8567062148583586,2.956939076004003,3.061269760106557,3.1698282768158768,3.282750637345676,3.400178434793802,3.5222584072388763,3.649141984961476,3.780984823186917,3.9179463217914465,4.060189133453826,4.207878661770025,4.361182550879551,4.520270168178366,4.685312081714414,4.856479533878438,5.033943913014005,5.217876224577165,5.408446563477587,5.605823589229259,5.810174005530329,6.0216620458778225,6.240448966804515,6.466692550301547,6.700546616962243,6.9421605513492715,7.191678841049762,7.4492406308406425,7.714979293339893,7.9890220174685505,8.271489415993237,8.562495153360302,8.862145594969808,9.170539478971737],[6.004472566230417,5.748605406707481,5.501777881774803,5.2639221953624595,5.034961914736387,4.814812206341218,4.603380097564895,4.4005647636173935,4.206257838638305,4.02034375007336,3.8427000752881026,3.673197919318357,3.51170231259188,3.358072627393982,3.2121630117920614,3.07382283968012,2.94289717555459,2.819227252587356,2.7026509625208064,2.5930033558732895,2.4901171509115203,2.39382324981945,2.303951260470881,2.2203300221958466,2.1427881339184176,2.0711544830363273,2.005258773410461,1.9449320508350523,1.8900072243671737,1.8403195819068958,1.7957072984372244,1.7560119353555816,1.7210789293560775,1.6907580693540658,1.6649039599813724,1.6433764702220242,1.6260411658041563,1.612769724013896,1.6034403296512654,1.5979380509063312,1.5961551939957843,1.5979916354656791,1.6033551311349659,1.612161600726535,1.6243353873075048,1.6398094907382232,1.658525774409639,1.6804351446311352,1.7054977021152966,1.7336828650921905,1.764969463673268,1.7993458051737257,1.8368097101917562,1.8773685193333676,1.9210390705620184,1.9678476472429596,2.017829897042601,2.0710307219331403,2.127504139641878,2.1873131169727045,2.250529375514099,2.317233170333127,2.3875130423383246,2.4614655450755603,2.5391949467999106,2.6208129087428187,2.7064381405672915,2.7961960340742826,2.890218276290486,2.988642443131428,3.0916115748936353,3.1992737348857885,3.311781552560717,3.4292917525579965,3.5519646711103237,3.6799637613058698,3.8134550887331704,3.95260681906485,4.097588699161225,4.2485715332949985,4.405726656113134,4.569225403962234,4.739238586208643,4.915935958184625,5.099485697386903,5.290053884543788,5.487803991152186,5.692896375065676,5.905487785690163,6.125730880313822,6.3537737530638125,6.58975947794318,6.833825667357996,7.08610404749694,7.346720051873543,7.615792434285279,7.893432902383754,8.179745772986697,8.474827650195227,8.77876712730977],[6.45888700026506,6.198800748980322,5.9476663380091885,5.7054050189906285,5.471929711594445,5.2471452722186145,5.03094878756685,4.823229892200554,4.623871109085277,4.432748212080915,4.249730609257117,4.074681745851138,3.9074595256247715,3.747916749320186,3.5959015688617972,3.4512579559026273,3.313826183269434,3.1834433178210277,3.0599437231990105,2.943159570919631,2.832921358229716,2.729058431128771,2.6313995109434085,2.5397732228292704,2.454008624569704,2.373935734039514,2.2993860537062263,2.230193090550455,2.166192869801092,2.1072244409001275,2.053130374135872,2.0037572464121722,1.958956114654705,1.9185829753935986,1.8824992091042863,1.8505720079355146,1.8226747855047019,1.7986875674961738,1.7784973618570286,1.761998507448357,1.7490930000759972,1.7396907948948257,1.733710084253473,1.7310775501221398,1.7317285903246156,1.7356075178764343,1.742667732814081,1.7528718659850508,1.7661918943550785,1.782609227476741,1.8021147648526248,1.8247089240160592,1.8504016392427622,1.879212330897383,1.9111698455095196,1.946312366764116,1.9846872976808914,2.026351114346351,2.071369191649704,2.1198156015604033,2.1717728845697586,2.227331795001837,2.286591020979574,2.3496568799101265,2.4166429904291222,2.487669921816039,2.562864821962502,2.6423610250414464,2.7262976400877204,2.8148191217596388,2.9080748246059205,3.006218542213422,3.109408032657642,3.2178045317202963,3.331572255376007,3.4508778930832156,3.5758900934428484,3.7067789438118286,3.8437154454770814,3.9868709860095386,4.136416810426169,4.292523492791925,4.455360409891957,4.625095218598208,4.801893338543012,4.985917441695957,5.177326950419056,5.376277545548936,5.582920686024018,5.797403141538854,6.019866539667774,6.250446928855131,6.489274358620705,6.736472478275511,6.9921581553862655,7.256441115165796,7.529423601902067,7.811200063470549,8.101856859903382,8.401471996914637],[6.927914869523796,6.663495875283104,6.4079270392804775,6.161119054401412,5.922974627895452,5.6933887815852495,5.472249175789944,5.259436455963412,5.054824620977753,4.8582814119156446,4.669668720171906,4.488843013604989,4.315655779423496,4.149953982441105,3.991580537285924,3.840374793107193,3.6961730292837363,3.5588089606045568,3.428114250362815,3.303919029779948,3.186052422157184,3.074343070137135,2.96861966444851,2.868711472502455,2.7744488652094748,2.6856638403913564,2.6021905411730626,2.523865767755016,2.4505294809866447,2.382025296187348,2.3182009656911315,2.2589088486259645,2.204006366478295,2.1533564430370165,2.1068279273593915,2.064295998453809,2.025642550430682,1.9907565569330536,1.9595344137224076,1.9318802583626031,1.9077062660155,1.8869329204355623,1.8694892593272536,1.8553130933081414,1.8443511978020724,1.8365594772703087,1.8319031012738685,1.8303566119472348,1.831904002551807,1.8365387668667095,1.844263919264557,1.8550919854102257,1.8690449636113387,1.8861542569397145,1.906460576333232,1.9300138149771036,1.9568728943521625,1.9871055824252133,2.0207882845424274,2.058005807671023,2.0988510987166817,2.1434249577241546,2.1918357268460342,2.244198956039379,2.3006370465217687,2.3612788730869214,2.426259386445281,2.4957191968165953,2.5698041400593636,2.6486648276759253,2.732456182081682,2.821336958572479,2.91546925546512,3.015018013922597,3.1201505090073463,3.2310358335329674,3.3478443763070294,3.470747296374955,3.599915994887204,3.7355215862194395,3.8777343699775395,4.0267233055167315,4.1826554905961935,4.345695645777873,4.5160056061604354,4.693743822016666,4.879064869875208,5.072118975555189,5.273051550625538,5.482002743719253,5.699107008087153,5.924492686725422,6.1582816163571215,6.400588751489637,6.651521809708041,6.91118093929894,7.1796584102303,7.457038329440839,7.743396381317458,8.038799594161553],[7.411409100964558,7.14252610371827,6.882378202982368,6.630865979192897,6.387882413390649,6.153313217441657,5.927037186687626,5.708926573938184,5.498847483650933,5.296660285083016,5.102220043139364,4.915376965588202,4.735976865263847,4.563861635830635,4.398869739639956,4.240836706174997,4.089595639545274,3.944977733464907,3.8068127921257027,3.6749297553577547,3.5491572264571576,3.4293240010521315,3.3152595953756827,3.2067947723147494,3.103762063612637,3.005996286613427,2.913335053953874,2.825619274630077,2.7426936448928174,2.6644071274568466,2.59061341754546,2.5211713943323195,2.4559455563875465,2.394806439784457,2.337631017576818,2.284303079413995,2.2347135901226296,2.1887610261484065,2.146351688819771,2.1073999934669896,2.071828733504428,2.039569318661204,2.010561986625106,1.9847559874467415,1.9621097401348992,1.942590960959936,1.9261767630692934,1.9128537271077641,1.9026179426246044,1.8954750201397226,1.8914400738317119,1.890537674901149,1.8928017757530577,1.8982756052324858,1.907011535236457,1.9190709191138828,1.9345239023520748,1.9534492061340032,1.9759338844341707,2.002073055402602,2.031969607865809,2.065733883850351,2.103483338108609,2.145342175697348,2.1914409687273637,2.241916253466781,2.2969101090411987,2.356569719030641,2.421046917316076,2.4904977195768474,2.5650818418846364,2.6449622078793964,2.7303044460479344,2.821276378656345,2.918047503913265,3.020788472961789,3.1296705633138626,3.24486515035195,3.366543178528684,3.4948746338962304,3.63002801959289,3.7721698359054465,3.92146406651155,4.078071672487413,4.2421500956421365,4.413852772711147,4.593328661907853,4.780721783294277,4.976170774389024,5.179808462383738,5.391761454288073,5.612149746267814,5.841086353381584,6.078676960858637,6.325019597993764,6.580204335665574,6.844313008411417,7.117418961916638,7.399586826697188,7.6908723186740655],[7.9092002962155,7.635705083018411,7.37081709996221,7.114427311873538,6.86641950840176,6.626670662600647,6.395051310543511,6.171425950800474,5.955653462545199,5.747587541000982,5.547077148882572,5.353966982440751,5.168097950671621,4.989307666211932,4.817430946405768,4.652300322996435,4.49374655887087,4.34159917026208,4.195686952798285,4.055838509775578,3.921882781024056,3.7936495707355213,3.6709700726240992,3.5536773907992996,3.4416070547443165,3.3345975268105326,3.2324907006622885,3.1351323891339007,3.0423727999935926,2.9540669981462973,2.8700753528491565,2.790263968559771,2.71450509808777,2.64267753677486,2.574666996487072,2.510366458265201,2.4496765025452865,2.3925056159302045,2.3387704735657877,2.2883961962501593,2.2413165814829465,2.1974743077414396,2.1568211113533664,2.119317935420543,2.084935050333846,2.053652145507674,2.025458392050815,2.000352476180355,1.978342603275524,1.9594464725589587,1.943691222483526,1.931113346993206,1.9217585829164263,1.9156817688393197,1.9129466758943543,1.9136258109864683,1.9178001930638806,1.9255591031239168,1.9369998087252416,1.9522272638565505,1.9713537850878167,1.994498705003355,2.021788003986105,2.0533539214892804,2.0893345479948744,2.1298733989180794,2.175118971772388,2.2252242879618085,2.2803464206140323,2.3406460099115187,2.406286767415961,2.477434970915643,2.5542589513543636,2.6369285734251062,2.7256147114311218,2.820488722031739,2.9217219154997918,3.0294850271222002,3.143947690374716,3.2652779134964747,3.393641561079383,3.5292018422720424,3.6721188071773443,3.8225488529977123,3.980644241451835,4.14655262895193,4.320416610991302,4.502373282147962,4.69255381306205,4.891083045692271,5.0980791081003325,5.313653049951901,5.5379084998588795,5.770941345620269,6.012839438348257,6.2636823213925865,6.523540984899487,6.792477646762663,7.07054556064211,7.357788851643273],[8.421097578127629,8.142825723819428,7.873021067641118,7.611565503703111,7.358334211013797,7.113196038630438,6.876013910341926,6.64664524763471,6.424942409636761,6.210753148682082,6.003921080090073,5.804286164710163,5.611685202742775,5.425952337312869,5.246919566242235,5.074417260441376,4.90827468732144,4.748320537611135,4.594383453953071,4.446292559648479,4.303877985918795,4.1669713960571775,4.0354065048526335,3.9090195916839843,3.7876500057004714,3.6711406615302016,3.5593385239868542,3.4520950802790296,3.3492667982651825,3.2507155693401284,3.1563091345865484,3.0659214928765404,2.979433289663981,2.8967321852680104,2.817713201511278,2.7422790456433326,2.6703404105496658,2.601816250320064,2.5366340303259785,2.4747299510352603,2.4160491448736554,2.3605458455256203,2.3081835291520525,2.2589350270892004,2.212782609680997,2.169718040986151,2.129742604191175,2.0928670976509585,2.0591118015690806,2.0285064154206847,2.001089966311009,1.9769106885523333,1.9560258748309323,1.9385016994232718,1.9244130140069426,1.9138431166963752,1.9068834950160134,1.9036335436040306,1.9042002575176482,1.9086979020864054,1.9172476603320885,1.929977259043245,1.9470205746580864,1.9685172201718693,1.9946121143434035,2.0254550345299664,2.0612001545303915,2.1020055688623858,2.1480328049419777,2.199446324670319,2.256413016965767,2.3191016828071023,2.3876825143768317,2.462326569911773,2.543205245881304,2.6304897481219687,2.7243505635602823,2.824956934153854,2.93247633467399,3.047073955941195,3.168912195108061,3.2981501545624177,3.4349431509968475,3.579442236159469,3.7317937307647338,3.8921387730024177,4.060612883037969,4.237345544847944,4.422459806680899,4.616071901376496,4.818290887714448,5.029218313899902,5.2489479042236615,5.477565269864079,5.715147644722962,5.961763647110669,6.217473068015633,6.482326686611761,6.7563661135728665,7.039623662677719],[8.946889544665689,8.663661233570453,8.388748622749606,8.122025125820564,7.863357934932072,7.6126084305595665,7.3696326092331725,7.134281527878569,6.906401763399602,6.685835886084583,6.4724229453755004,6.265998966501248,6.066397456442439,5.873449917666598,5.68698636804853,5.506835865371586,5.332827034791404,5.1647885976345975,5.002549899900673,4.845941438836457,4.694795385958196,4.548946104907494,4.408230662543161,4.272489331691956,4.141566084006899,4.015309071412406,3.893571094650648,3.776210057483415,3.6630894051479648,3.5540785457139448,3.4490532530412503,3.347896050095435,3.250496571437898,3.1567519037723546,3.0665669034967795,2.979854490280978,2.8965359157639172,2.8165410065417156,2.739808380696525,2.666285637198171,2.595929517594133,2.528706039488954,2.4645906014011993,2.4035680586744292,2.3456327702079456,2.2907886158631174,2.23904898449158,2.1904367326222474,2.14498411393461,2.102732679735946,2.0637331507495227,2.028045260609418,1.9957375715448646,1.9668872628228502,1.9415798926017696,1.9199091339309409,1.901976485710612,1.887890959504315,1.8777687431699488,1.871732842347506,1.8699127009096708,1.872443801546438,1.879467247716205,1.89112932825327,1.9075810659751997,1.928977751682898,1.955478464991273,1.9872455834690406,2.024444281602273,2.0672420211277167,2.115808034308495,2.1703128017466424,2.2309275263437227,2.2978236050327077,2.3711720999111376,2.4511432104074755,2.537905748109311,2.63162661587395,2.732470292828607,2.8405983268493467,2.9561688360847382,3.079336021062402,3.2102496888838425,3.3490547909757638,3.4958909758241807,3.6508921580714047,3.8141861053055663,3.9858940438176003,4.166130284542266,4.355001870337337,4.552608245689398,4.759040949865333,4.974383334456394,5.19871030618636,5.43208809577739,5.674574053586815,5.926216472645352,6.187054439642898,6.457117714321593,6.736426637648423],[9.486345325370213,9.197966249908575,8.917740668117801,8.645534145726026,8.381206551717282,8.12461249072339,7.875601751659705,7.634019771220336,7.399708110802707,7.172504945389822,6.952245562881753,6.738762872335573,6.531887919545515,6.331450408372462,6.137279226214151,5.94920297199465,5.7670504850439945,5.5906513732359855,5.4198365387545735,5.254438699866475,5.094292907090038,4.93923705216765,4.789112368271197,4.643763919897111,4.503041080939393,4.36679799946544,4.234894047760566,4.107194256252525,3.983569729977142,3.863898046299962,3.748063632666714,3.635958123216991,3.527480693160766,3.4225383698859844,3.3210463198372775,3.2229281102805816,3.1281159451459732,3.0365508742209837,2.9481829750489084,2.8629715069708377,2.780885036836091,2.7019015359931675,2.626008448261922,2.5532027286772454,2.4834908528846835,2.4168887971590216,2.35342198910747,2.293125229209583,2.2360425834359923,2.1822272472773014,2.1317413816026978,2.0846559208547584,2.041050354172288,2.001012480116568,1.9646381357578306,1.9320309009579038,1.903301778761495,1.8785688528823132,1.8579569233408877,1.8415971213783822,1.8296265048346259,1.8221876352388802,1.8194281379182757,1.8215002464812664,1.8285603330816462,1.8407684259125663,1.858287715419383,1.881284050754974,1.9099254280312783,1.9443814719461305,1.9848229123848755,2.0314210576118006,2.0843472656768975,2.143772415669009,2.209866380446868,2.2827975024749914,2.3627320743817823,2.4498338258426924,2.5442634183716546,2.6461779495797613,2.755730468430767,2.873069502989245,2.9983386021185217,3.131675892542571,3.2732136526386064,3.423077904275469,3.5813880239572944,3.748256374472244,3.9237879581829853,4.108080093028646,4.301222112238078,4.503295088680905,4.714371584706975,4.9345154282460895,5.163781515858865,5.40221564334651,5.649854364442083,5.906724878019361,6.172844944167264,6.448222829388891],[10.039215735111252,9.745478066834512,9.459721787489553,9.181805286738047,8.911581810691061,8.648899914736685,8.393603930841461,8.145534447883733,7.90452880353672,7.670421586183641,7.443045145316099,7.222230108840842,7.007805905698702,6.799601292183089,6.597444880334032,6.40116566677731,6.210593560376927,6.025559907072729,5.84589801028377,5.671443645271609,5.502035565876431,5.337516002062403,5.177731146736983,5.022531630342097,4.871772981752722,4.725316074060753,4.583027553868606,4.444780252767925,4.310453579733739,4.179933893223252,4.053114851831153,3.9298977424194153,3.810191784709126,3.693914411394469,3.580991522914559,3.4713577160969673,3.3649564859674532,3.261740400103183,3.1616712449914424,3.0647201439422536,2.9708676461910315,2.8801037869163757,2.7924281179877775,2.7078497093483875,2.6263871210285585,2.5480683458765387,2.4729307231830058,2.401020823465983,2.33239430477164,2.2671157409343747,2.205258422326113,2.1469041297096303,2.0921428818937047,2.0410726579687375,1.9937990949799282,1.9504351619708564,1.9111008114032657,1.8759226090286307,1.8450333433535786,1.818571615904224,1.7966814135536948,1.779511664232492,1.7672157773925952,1.7599511706432693,1.7578787840191947,1.7611625833797124,1.7699690544715048,1.7844666892158463,1.8048254658055498,1.831216324215836,1.8638106387474993,1.9027796892299103,1.9482941325155219,2.0005234758966446,2.0596355540693407,2.125796011258321,2.1991677901008133,2.279910628866537,2.3681805685651263,2.4641294714619533,2.567904552487952,2.6796479249894167,2.79949616221936,2.9275798759235263,3.064023313321404,3.2089439737257583,3.362452245983717,3.5246510678580547,3.69563560839977,3.875492974291971,4.064301941071245,4.262132710055808,4.469046691730487,4.685096316256944,4.910324871693781,5.144766370425816,5.388445444214553,5.641377268193801,5.903567514044861,6.175012332495865],[10.605234519367945,10.305917947561465,10.014401621889624,9.730537463632139,9.454172829416073,9.185150982216193,8.923311574986803,8.668491145432768,8.420523620393006,8.179240828280172,7.944473017995265,7.716049382716049,7.493798586943006,7.27754929517662,7.0671307005946495,6.862373052098096,6.663108178099615,6.469170005438128,6.280395071818495,6.096623030195023,5.917697143542474,5.7434647684879145,5.5737778263110656,5.408493259859861,5.247473474971308,5.090586765035624,4.937707717393568,4.7887176003130065,4.643504729350632,4.50196481196839,4.364001269341239,4.229525534363289,4.098457324932768,3.9707248916725546,3.846265239321933,3.725024321116399,3.6069572055557657,3.492028215045967,3.3802110359867705,3.2714887999657076,3.165854135807683,3.0633091923196663,2.963865631660277,2.867544593354726,2.7743766290661416,2.6844016083245705,2.597668595504514,2.5142356984306202,2.43416988907867,2.3575467969251047,2.2844504755827506,2.2149731434428026,2.1492148991233586,2.087283412602522,2.029293592989119,1.9753672339561594,1.9256326379311168,1.8802242202026223,1.8392820941651506,1.8029516389814912,1.7713830509970205,1.744730880289955,1.7231535537876095,1.706812886420153,1.69587358182025,1.6905027241092498,1.690869262338079,1.6971434891736534,1.709496515439399,1.728099742131246,1.7531243315382583,1.7847406790998241,1.8231178876290564,1.8684232455247574,1.920821710581985,1.9804754009939902,2.0475430951161013,2.1221797415351125,2.204535980955881,2.294757681380466,2.3929854880140127,2.4993543892862666,2.6139933003277513,2.7370246651858983,2.8685640790085083,3.008719931360347,3.1575930717735066,3.315276498563448,3.481855071870995,3.657405251815659,3.841994862568326,4.035682883071222,4.238519265050951,4.450544778886163,4.671790887805386,4.902279650803306,5.142023654574931,5.391025974677778,5.649280166041823,5.916770282856615],[11.18411968481082,10.878992517476421,10.581476320665761,10.291417287286297,10.008657647302192,9.733036154553638,9.464388584302188,9.202548239966902,8.947346467487623,8.698613175728351,8.456177361314872,8.219867636287209,7.989512756938776,7.764942152210403,7.54598645000884,7.332477999825687,7.124251390044165,6.921143958337495,6.722996293584016,6.529652727750271,6.340961816224356,6.156776805117335,5.976956084090871,5.80136362331376,5.629869393199112,5.462349765627037,5.298687895414776,5.138774080857239,4.982506102225438,4.8297895371783435,4.68053805211491,4.534673668567286,4.392127003813197,4.252837484965081,4.116753535875365,3.9838327362811614,3.8540419526973455,3.7273574406540892,3.6037649179634164,3.483259608788697,3.3658462583810884,3.251539118437469,3.140361903125028,3.032347715908218,2.927538947403841,2.8259871445794627,2.727752851698744,2.6329054235044915,2.541522811215858,2.453691322000032,2.369505352660603,2.2890670983643226,2.2124862373050487,2.139879592277852,2.071370770207567,2.0070897807440464,1.9471726351010066,1.8917609263762922,1.8410013926485278,1.7950454641982891,1.7540487962508913,1.7181707886825786,1.6875740941721205,1.6624241163154787,1.6428884992521677,1.6291366103781404,1.6213390177413476,1.6196669637325332,1.6242918366952603,1.6353846420855833,1.6531154748131638,1.677652994391996,1.709163904520226,1.7478124386948828,1.7937598534487318,1.8471639307729255,1.9081784912607818,1.9769529194749729,2.0536317030026225,2.138353986620663,2.231253142947076,2.3324563609028934,2.442084253254743,2.560250484448962,2.687061419885633,2.822615797714721,2.967004424167097,3.1203098933604476,3.2826063324447343,3.4539591728735166,3.6344249485069717,3.824051121169539,4.0228759342004805,4.2309282944492415,4.448227683079713,4.674784095458667,4.910598010313772,5.1556603882564405,5.409952699673968,5.6734469819050215],[11.775574908537292,11.46439523025251,11.160630059954139,10.864120630814066,10.574704834574678,10.292217721754323,10.016492010619714,9.747358603354803,9.484647107833394,9.22818636338552,8.977804968935253,8.733331811880323,8.494596596081617,8.261430367333368,8.03366603469265,7.811138886059533,7.593687096417023,7.38115222716254,7.173379714990196,6.970219348815345,6.7715257332698116,6.577158737337625,6.386983926746916,6.200872978783817,6.018704078248348,5.840362293330573,5.665739930247187,5.494736865544242,5.32726085504069,5.1632278184594185,5.00256209886755,4.845196696125428,4.691073473624005,4.540143337672662,4.392366388983984,4.247712045788038,4.106159138196276,3.9676959735238944,3.832320372369085,3.700039675337857,3.5708707203936676,3.4448397909017703,3.3219825345285714,3.2023438532462722,3.08597776478217,2.9729472359401568,2.8633239883087116,2.7571882769549005,2.6546286427872583,2.5557416393516545,2.4606315349031664,2.369409990673234,2.2821957163248676,2.199114103659019,2.120296839702384,2.045881500370485,1.976011125959853,1.9108337797791664,1.8505020912812555,1.7951727851056962,1.7450061974851843,1.7001657815078888,1.6608176027623516,1.6271298269211913,1.599272200844728,1.5774155288056595,1.5617311454509561,1.5523903871272178,1.5495640632007874,1.5534219290039313,1.5641321620333675,1.5818608430174144,1.6067714434529718,1.6390243211936228,1.6787762256452692,1.7261798140960898,1.7813831806732399,1.8445293993797685,1.9157560826217446,1.9951949565878504,2.0829714547916125,2.179204331030508,2.2840052929561474,2.3974786573862468,2.519721028421939,2.6508209993636433,2.790858879345286,2.9399064455303363,3.098026721634335,3.2652737834572627,3.441692592025866,3.62731885486073,3.8221789157962305,4.026289673693311,4.239658530295914,4.4622833673919775,4.694152553349436,4.935244979007102,5.18553012280961,5.444968144985557],[12.379291018917916,12.061807899785908,11.751536620979874,11.448314249358626,11.151975148563771,10.862351490111553,10.579273771248799,10.302571337975014,10.03207291161681,9.767607117329835,9.509003012897429,9.256090616194397,9.008701429688271,8.76666896035966,8.529829233437459,8.298021298363652,8.071087725426558,7.848875091530019,7.631234453599712,7.418021808165767,7.209098535703614,7.0043318283620035,6.8035950997583505,6.6067683755769835,6.413738663764999,6.224400303183488,6.038655289638289,5.856413578284277,5.677593361470085,5.502121321165912,5.329932855195548,5.160972276574527,4.995192985339335,4.832557612337466,4.673038134534654,4.516615961483476,4.36328199268652,4.213036645677115,4.065889854730978,3.92186104021276,3.7809790486520565,3.643282063733814,3.5088174884777494,3.3776417989703695,3.249820370100882,3.125427273838743,3.004545050675258,2.8872644549344963,2.7736841747393943,2.6639105274971078,2.558057131843264,2.456244557057341,2.358599951030965,2.265256647937069,2.1763537568105047,2.092035732309582,2.012451928983024,1.9377561404176866,1.8681061246890664,1.8036631175788822,1.7445913350617537,1.691057466596121,1.6432301607829154,1.6012795049790558,1.5653765004714706,1.5356925348310857,1.5123988530748766,1.495666029267793,1.4856634401949864,1.4825587427283993,1.4865173565003604,1.497701953480468,1.516271956030728,1.5423830449877696,1.576186679290008,1.6178296286320069,1.6674535205880852,1.7251944036026057,1.7911823271953398,1.8655409406773051,1.9483871116152192,2.0398305652219113,2.1399735457853444,2.248910501180984,2.366727791440979,2.4935034222793937,2.6293068043957626,2.7741985392996136,2.9282302323168934,3.091444333355209,3.2638740059193103,3.4455430247809073,3.6364657026186165,3.836646845854394,4.0460817398226965,4.264756163318205,4.49264643247712,4.729719473856726,4.975932926487642,5.231235272583964],[12.99494754065293,12.670902290301362,12.353861020305064,12.043657445453043,11.740123229038463,11.443088502282757,11.152382388487155,10.867833530294266,10.5892706184328,10.316522920313906,10.049420806848087,9.787796275857128,9.531483470465995,9.280319190875108,9.034143397933898,8.792799706961762,8.556135870292707,8.324004247054699,8.09626225873419,7.872772829120072,7.653404807269608,7.438033372191185,7.226540417995218,7.01881491832475,6.814753268941265,6.614259607408622,6.417246108888678,6.223633257135901,6.0333500898547525,5.846334417662801,5.662533015983892,5.481901789279289,5.304405907110009,5.130019911610536,4.958727796042269,4.790523054184332,4.62540870040934,4.46339726038217,4.304510732410442,4.148780519565979,3.9962473327866563,3.846961065257689,3.700980638459908,3.5583738203601194,3.4192170163044935,3.2835950332602497,3.151600818133068,3.0233351709677025,2.8989064339167427,2.778430156937248,2.662028741246798,2.549831061639111,2.441972068824631,2.338592373023105,2.239837810093034,2.1458589915367554,2.0568108397696734,1.9728521100876302,1.8941449008074316,1.8208541530920703,1.7531471420039808,1.69119296035676,1.635161996957983,1.5852254108530697,1.541554603192481,1.5043206883518736,1.473693965937135,1.4498433953034873,1.4329360742101112,1.4231367232189518,1.4206071774286726,1.4255058871120645,1.4379874287977672,1.4582020283049086,1.4862950972024151,1.5224067841232913,1.5666715423183524,1.6192177147837836,1.6801671382426435,1.7496347672023171,1.8277283192478828,1.9145479426659429,2.010185907424464,2.11472632046216,2.228244866165942,2.350808572837196,2.4824756058675272,2.6232950882621,2.7733069490644326,2.9325418001502794,3.101020841770858,3.2787557971367822,3.465748876244627,3.661992769057709,3.867470668062109,4.0821563201284015,4.3060141075189655,4.538999157791027,4.781057482256205,5.032126142569448],[13.622214296317845,13.291341756680048,12.967261183877483,12.649803771624276,12.338799324112232,12.034076781171446,11.73546474609801,11.442792014520144,11.155888102670856,10.874583773437083,10.598711558562131,10.32810627539008,10.062605536557689,9.802050251061052,9.546285115150955,9.295159091542143,9.048525875457917,8.806244346071937,8.568179001954324,8.334200379178395,8.104185450797917,7.878018006462254,7.65558901099805,7.4367969408509875,7.221548097349512,7.009756895823891,6.80134612968849,6.596247208672426,6.394400370463488,6.195754865112285,6.0002691116276035,5.8079108262798,5.618657122216319,5.43249458008195,5.24941928942595,5.069436860768229,4.892562408287379,4.718820503183977,4.548245097863045,4.3808794211696345,4.216775845000766,4.055995722705353,3.8986091997707044,3.7446949973797943,3.5943401695071215,3.4476398343027137,3.3046968805930814,3.165621650404783,3.030531598490202,2.8995509299061015,2.772810216763278,2.6504459953298563,2.532600344731435,2.419420448548036,2.311058140660632,2.2076694367485645,2.109414052883513,2.016454912705434,1.928957644701132,1.8470900711367046,1.7710216902207847,1.700923153096468,1.6369657372757023,1.5793208181409506,1.5281593401448466,1.4836512893395515,1.4459651688633715,1.4152674790030892,1.391722203436354,1.3754903032393786,1.3667292202212589,1.3655923911174321,1.3722287741412984,1.3867823893548836,1.4093918742767895,1.4401900560986642,1.47930354183016,1.526852327637064,1.5829494285779928,1.6477005298822047,1.7212036608444952,1.8035488923434642,1.894818058916469,1.9950845062488458,2.104412864856561,2.222858850660598,2.350469093068483,2.4872809910933515,2.6333225979546016,2.788612534516127,2.9531599318293154,3.1269644029580315,3.3100160441725546,3.5022954655087943,3.7037738505984468,3.914413045585558,4.13416567685503,4.362975297209902,4.600776560046259,4.847495420988441],[14.260753056394545,13.922782926812374,13.591389656513968,13.266402761732337,12.947651038095703,12.634963088900157,12.328167853975796,12.027095137514422,11.73157613323016,11.441443945232521,11.156534103004699,10.876685068898073,10.60173873657699,10.331540918875763,10.065941823562616,9.804796515542481,9.547965364072502,9.295314473610276,9.046716096965437,8.802049029479686,8.561198983019057,8.324058938624347,8.090529476731593,7.860519083943673,7.633944435406416,7.410730651917948,7.190811530977896,6.974129751063549,6.7606370485026375,6.550294366396973,6.343071975137438,6.138949564138425,5.937916304508727,5.739970882465428,5.545121503387757,5.353385866498353,5.16479111025008,4.979373728586921,4.797179458337301,4.6182631380873564,4.44268853896955,4.270528167888825,4.101863043793398,3.936782447680595,3.7753836471090794,3.61777159606755,3.464058611125976,3.3143640248686745,3.1688138176785863,3.0275402290089213,2.8906813493416763,2.7583806940920415,2.630786760773512,2.508052570790091,2.3903351972694757,2.277795280394123,2.1705965317257254,2.068905229052568,1.9728897033184487,1.8827198192163523,1.798566451049529,1.7206009554773054,1.6489946427725188,1.5839182482220875,1.5255414053017655,1.4740321222506823,1.4295562636607522,1.3922770386805725,1.3623544974130355,1.339945037060565,1.3252009193418455,1.3182698006691016,1.3192942765356337,1.3284114415194557,1.3457524662607012,1.371442192718085,1.405598748953306,1.4483331846320375,1.4997491283661768,1.559942467954723,1.6290010545098745,1.7070044313813644,1.7940235887154268,1.8901207444057588,1.995349152112369,2.1097529369406915,2.23336695928803,2.3662167072773928,2.5083182181106918,2.6596780285839183,2.8202931549170533,2.990151101960886,3.169229901752372,3.357498181299559,3.554915259386889,3.7614312721022394,3.976987326698283,4.201515683313504,4.434939963992047,4.677175388357553],[14.910219229541902,14.564877417568205,14.225895338275427,13.893101682392281,13.566325092561378,13.245394692083948,12.930140612181424,12.620394516146968,12.315990118769584,12.016763699428095,11.722554607271743,11.433205756928633,11.148564113212446,10.868481163331781,10.592813375145095,10.321422640047201,10.05417669912078,9.790949551237935,9.531621841852534,9.276081231283726,9.024222741354151,8.775949079313367,8.531170938046861,8.28980727164442,8.051785545477497,7.817041960013937,7.585521647679494,7.357178842158619,7.131977019612211,6.909889011376519,6.690897087795477,6.47499301292779,6.262178069959976,6.05246305724692,5.845868254992202,5.642423362670966,5.442167407388451,5.245148623456936,5.051424303562695,4.861060621982196,4.674132430393026,4.49072302690962,4.310923899056418,4.134834441471597,3.9625616492123736,3.794219787608292,3.6299300396811356,3.4698201322194517,3.3140239416614543,3.162681081002397,3.015936469001092,2.8739398830148155,2.736845496842401,2.604811405001555,2.4779991349083077,2.3565731484638093,2.2407003345864176,2.1305494942549132,2.0262908196518032,1.9280953690139055,1.8361345388105978,1.7505795348784217,1.6716008441438959,1.5993677085646287,1.5340476029119268,1.4758057180062885,1.4248044510003162,1.381202904281834,1.3451563945434248,1.3168159735332075,1.296327961965631,1.283833498030476,1.2794681018931873,1.2833612575303244,1.2956360131904376,1.3164086017131957,1.345788081878307,1.3838760018909229,1.4307660860418423,1.4865439455094185,1.5512868141954654,1.6250633104103316,1.7079332251424577,1.7999473375657429,1.90114725835401,2.0115653012860215,2.1312243835372553,2.2601379549660585,2.398309956612431,2.5457348085374276,2.702397427040785,2.8682732712035666,3.0433284186122664,3.227519670030688,3.420794682696619,3.62309213183205,3.834341899868466,4.054465292803477,4.283375283021039,4.520976777826162],[15.570263584659076,15.21727357580929,14.870425239056269,14.529547295726623,14.19446909181986,13.865021124582805,13.541035565531706,13.222346778308163,12.90879182977099,12.600210992746947,12.29644823888905,11.997351720121717,11.70277423718712,11.412573693847047,11.126613535338759,10.844763169731898,10.566898370886365,10.29290166176771,10.022662676937333,9.75607850309895,9.493053996650536,9.233502077261896,8.977343996571994,8.724509581176955,8.474937449158924,8.22857519948773,7.985379573710853,7.745316589432834,7.50836164517224,7.27449959627263,7.043724801633308,6.81604114111564,6.591462003571264,6.370010245529092,6.151718120668615,5.936627180297112,5.724788145137849,5.516260748824905,5.311113553587512,5.109423738692659,4.911276862298738,4.71676659745507,4.525994443061901,4.339069410682765,4.156107688175559,3.977232281180277,3.8025726335696026,3.63226422803353,3.4664481680304586,3.305270742394683,3.148882973943774,2.9974401534786326,2.851101360614169,2.710028972919096,2.57438816487949,2.444346398232094,2.320072905240032,2.2017381665053404,2.0895133849295813,1.9835699574457268,1.8840789461513179,1.7912105504748155,1.705133582003811,1.6260149435956106,1.55401911437743,1.4893076422253282,1.4320386452878808,1.3823663240927058,1.3404404857413077,1.30640608166039,1.280402760335965,1.2625644364103512,1.2530188774716726,1.251887309810868,1.2592840443626918,1.275316123984925,1.3000829931641458,1.333676191167243,1.376179069585464,1.427666535142588,1.488204818560781,1.5578512701973657,1.6366541830830643,1.7246526439077665,1.821876412413626,1.9283458295676166,2.044071754796933,2.1690555324808414,2.3032889878024454,2.446754451973093,2.59942481675167,2.761263618090482,2.9322251486496733,3.1122545988329855,3.3012882259096545,3.49925355070067,3.7060695812223847,3.921647062597509,4.145888752462255,4.378689721019931],[16.240533996135586,15.879618235743248,15.524626242619751,15.175387624638901,14.83173328398465,14.493495938923715,14.160510639974438,13.83261527887921,13.509651088809916,13.19146313426299,12.877900789132434,12.56881820148564,12.264074743607928,11.963535445927047,11.667071413478824,11.374560223628805,11.085886303822718,10.800941288200153,10.51962435197109,10.24184252252347,9.967510966301923,9.696553250572387,9.42890157926494,9.164497002167112,8.903289596822196,8.645238622571286,8.3903126462637,8.138489639247936,7.889757045343852,7.644111819586335,7.401560437620935,7.162118875722433,6.9258125614980415,6.692676295427315,6.462754143480885,6.236099301149355,6.012773929301911,5.792848962381133,5.576403889525823,5.363526509297264,5.1543126587656865,4.94886591779292,4.747297289423671,4.54972485737165,4.356273421657384,4.16707411352204,3.9822639908054454,3.801985615036859,3.626386611543416,3.4556192139335664,3.2898397943611073,3.129208381019188,2.9738881643531654,2.8240449935159155,2.6798468646193814,2.541463402361394,2.4090653366272985,2.2828239756813846,2.162910677573642,2.049496321392915,1.9427507799979344,1.842842395853217,1.7499374615871695,1.6641997068752392,1.5857897932313638,1.5148648182666284,1.451577830944795,1.3960773593304343,1.3485069522868725,1.3090047365380824,1.2777029904612762,1.2547277359253006,1.2401983494342859,1.2342271937763973,1.2369192713142962,1.2483718999871196,1.2686744130237115,1.2979078832937008,1.3361448731469312,1.383449210513204,1.439875791953142,1.5054704132679473,1.5802696281906816,1.6643006355951164,1.7575811955701814,1.860119574618969,1.9719145201514081,2.092955264349273,2.2232215573916614,2.3626837299383467,2.511302784678285,2.669030516660724,2.8358096620376516,3.0115740747586197,3.196248930672702,3.389750958407865,3.591988696315257,3.8028627746856656,4.022266222367254,4.250084796838559],[16.920677203566356,16.551558483836793,16.18814687126357,15.830273711786532,15.477772308824735,15.130478437639734,14.788230852071719,14.45087178208485,14.118247420586588,13.790208398018862,13.46661024325665,13.147313829391841,12.832185803026855,12.521098995753334,12.21393281654631,11.910573623862982,11.610915076298044,11.314858460713465,11.022312996830337,10.733196117342843,10.447433722690091,10.16496040969966,9.885719673397306,9.609664081360197,9.336755420075617,9.06696481285359,8.800272808929527,8.536669443482031,8.276154268380594,8.018736353568364,7.764434259075697,7.513275977750837,7.2652988488844645,7.020549442994603,6.77908341812742,6.540965348117315,6.306268523336215,6.075074724546893,5.847473970558126,5.623564240460321,5.403451171298671,5.18724773211676,4.97507387537633,4.767056166828856,4.563327394980963,4.36402616135877,4.169296452835401,3.9792871973413586,3.7941518043286226,3.6140476914064568,3.439135798609543,3.269580091797221,3.1055470567161745,2.9472051852876757,2.79472445570454,2.648275807941987,2.5080306163008097,2.374160160610382,2.246835097723154,2.1262249349314377,2.012497506931294,1.9058184579474342,1.8063507306170878,1.7142540632099714,1.6296844967357234,1.5527938934597083,1.483729468312868,1.4226333346414939,1.3696420656985975,1.3248862732299247,1.2884902044549613,1.2605713586864775,1.2412401247715965,1.2305994404730956,1.2287444748419696,1.2357623345613318,1.2517317951677662,1.2767230579794906,1.3107975334813298,1.3540076518349449,1.4063967010989442,1.4679986936581395,1.538838261274038,1.618930579080443,1.7082813187586656,1.8068866310368303,1.9147331575673041,2.0317980721455435,2.1580491511432416,2.293444872938375,2.4379345460354176,2.5914584654803288,2.7539480970877124,2.9253262889116862,3.1055075093079183,3.2943981108523137,3.4918966193019245,3.697894046706526,3.9122742277046476,4.134914177966461],[17.610340577137862,17.232743422468474,16.860639042297148,16.49386136346282,16.13224692367035,15.775635375874039,15.423869983048652,15.076798101821252,14.734271653471563,14.396147580847519,14.062288289786126,13.732562073677602,13.406843519862708,13.085013896609304,12.766961519474092,12.45258209591901,12.14177904711902,11.83446380596823,11.530556090364868,11.229984150931816,10.932684992408355,10.63860456802998,10.347697946296508,10.059929449613872,9.775272764381835,9.49371102218793,9.215236851857068,8.939852402196212,8.667569335363984,8.398408790885593,8.132401320424169,7.869586793509757,7.610014274516862,7.353741871270128,7.100836555745338,6.851373957418934,6.605438129903741,6.363121291590953,6.124523541098668,5.889752548404994,5.65892322261875,5.432157357412951,5.209583255215068,4.991335331313735,4.777553699103422,4.568383737746924,4.363975643589614,4.164483966709708,3.9700671340345246,3.780886960494228,3.597108149721486,3.418897785837646,3.2464248178936357,3.0798595385563696,2.9193730586492763,2.765136779168284,2.617321862402456,2.4760987037911826,2.341636406147575,2.2141022578704375,2.093661216754825,1.9804754009939902,1.8747035889432624,1.7765007291894337,1.6860174624373636,1.6033996566891071,1.5287879571498157,1.4623173522492294,1.4041167571178756,1.3543086158031836,1.313008523452952,1.2803248696319516,1.256358503872272,1.2412024244893747,1.2349414916240802,1.2376521653959056,1.2494022699757332,1.2702507843057904,1.3002476601126807,1.33943366777505,1.3878402705214357,1.4454895273465165,1.5123940249453036,1.5885568388753066,1.6739715240665154,1.7686221347084672,1.8724832734530708,1.9855201697813052,2.107688787292055,2.238935959581956,2.379199554297048,2.5284086648499753,2.6864838292111957,2.853337275099088,3.0288731908123774,3.212988020869229,3.405570785540718,3.606503423292784,3.8156611550799484,4.032912869366802],[18.309173879862932,17.92282592350694,17.541759807552577,17.16581286967307,16.79482569874675,16.428642626740167,16.06711220904141,15.710087691761549,15.357427464562246,15.008995497612297,14.66466176132481,14.324302627579895,13.987801251194796,13.655047930464416,13.325940445659779,13.000384374439843,12.67829338320357,12.359589493483107,12.044203322556179,11.732074297535224,11.423150842272666,11.117390536505624,10.81476024674897,10.515236228532874,10.218804199669362,9.925459384321803,9.635206527741355,9.348059881624895,9.064043160139615,8.783189466749967,8.50554119207275,8.231149883075531,7.960076084021974,7.692389149654883,7.428167031193409,7.167496035804744,6.910470560292475,6.657192799823356,6.407772432591242,6.162326281391207,5.920977953148082,5.6838574575117224,5.451100805695842,5.222849590798289,4.999250550897684,4.780455116274606,4.56661894215437,4.357901428413217,4.15446522772992,3.9564757437004383,3.764100620464288,3.577509225417421,3.3968721266077893,3.2223605664261346,3.054145933216023,2.892399232433507,2.7372905589882466,2.5889885723942405,2.4476599763496303,2.3134690043514485,2.186576912932458,2.0671414840838116,1.9553165383988285,1.8512514604401797,1.7550907377949914,1.6669735152401906,1.5870331653937653,1.5153968771767432,1.4521852633557537,1.3975119883771336,1.3514834176409627,1.3141982892972122,1.2857474095767483,1.266213372597261,1.2556703055087066,1.2541836397646504,1.2618099092252661,1.278596575714995,1.3045818825730962,1.339794736649016,1.384254619106649,1.4379715253127632,1.5009459339950313,1.573168805764856,1.6546216110095457,1.7452763870677597,1.8450958245118416,1.9540333822707368,2.072033431238354,2.1990314259241597,2.3349541036164383,2.4797197104436144,2.6332382536361254,2.7954117792104536,2.966134674218471,3.145293992629524,3.332769803839619,3.5284355627324304,3.7321585001501765,3.9438000325696194],[19.01683101785763,18.621464363051675,18.231173067236327,17.845798691809,17.46518667346382,17.08918680111613,16.71765367939776,16.35044717729273,15.987432860529182,15.628482406393243,15.273473999684935,14.92229270859432,14.574830839338095,14.230988268462312,13.890672751785921,13.55380020903181,13.220294983267099,12.890090074352138,12.563127345677877,12.239357703553694,11.918741248692175,11.601247399323388,11.28685498555879,10.975552314713568,10.66733720738592,10.362217004181852,10.060208543064823,9.761338107400086,9.465641344854047,9.173163157398909,8.883957562761967,8.598087527747115,8.31562477394283,8.03664955641618,7.761250416075698,7.489523906467255,7.221574295845927,6.957513245443156,6.697459464921949,6.441538346083262,6.189881575953786,5.9426267304490485,5.699916849865576,5.461899997512051,5.2287288028412995,5.000559990492901,4.77755389669955,4.559873974549414,4.347686289631039,4.141159007617038,3.9404618753677356,3.7457656971558277,3.5572418076282855,3.375061543131706,3.1993957130324366,3.030414072662741,2.8682847995193375,2.7131739743305454,2.565245068593263,2.424658440161075,2.2915708384398816,2.1661349207178624,2.0484987811221735,1.9388054936558623,1.8371926707250004,1.7437920385182641,1.6587290305491877,1.5821224006152437,1.5140838563680443,1.4547177146253043,1.404120579488156,1.3623810442570212,1.3295794180658245,1.3057874780780363,1.2910682480091937,1.285475803659283,1.289055106055046,1.3018418627170725,1.3238624174797327,1.3551336692039726,1.3956630196337363,1.4454483505569602,1.5044780303415815,1.5727309498264033,1.6501765874560737,1.7367751034591823,1.8324774627789107,1.937225586376862,2.0509525304432663,2.173582692960525,2.305032046982779,2.4452083999116265,2.594011677968006,2.751334234982452,2.9170611845509056,3.0910707545312066,3.2732346627863667,3.4634185130152813,3.661482209449428,3.86728038913604],[19.732971769913327,19.328324328666685,18.928551249556747,18.533499109487366,18.143018965384222,17.75696681377744,17.37520403514245,16.997597821628,16.624021586851505,16.2543553564973,15.888486138512475,15.526308271758122,15.167723752040084,14.812642534513232,14.460982811526202,14.112671265049189,13.767643292905985,13.425843208112124,13.087224410704092,12.751749531529384,12.419390547553732,12.090128868329714,11.76395539335992,11.440870540177677,11.1208842430587,10.804015922367643,10.4902944246341,10.179757933543016,9.872453852114113,9.568438656433894,9.267777721391568,8.970545118956588,8.676823389620264,8.386703287706663,8.10028350133872,7.817670347923595,7.5389774460969115,7.26432536513815,6.9938412529389336,6.727658443672199,6.465916046372794,6.208758515699032,5.956335206199634,5.708799911461458,5.466310389559998,5.229027876276975,4.997116587587007,4.770743212948534,4.5500764009624906,4.335286238985789,4.126543728305366,3.924020256492141,3.727887068563093,3.538314738583169,3.3554726433375235,3.179528439698097,3.010647547297218,2.8489926381044866,2.6947231344819067,2.5479947172661093,2.4089588453955084,2.277762288564667,2.1545466743479063,2.039448051189587,1.932596468609483,1.8341155759186067,1.7441222406836823,1.662726188117535,1.5900296625081287,1.5261271117309292,1.4711048958180832,1.4250410204836594,1.388004896427188,1.3600571251582014,1.3412493120026392,1.3316239068681162,1.3312140732593774,1.3400435859481368,1.3581267576130065,1.385468394675942,1.4220637824714064,1.467898699794075,1.5229494627801516,1.5871829979869148,1.6605569444449948,1.7430197843684772,1.834511002119532,1.934961270937027,2.044292666853,2.1624189091368606,2.2892456265254744,2.4246706484175786,2.5685843201340446,2.720869841271213,2.8814036261032427,3.0500556849214617,3.226690025133972,3.411165070887944,3.6033340999197274,3.803045696284908],[20.457263487720656,20.04308029057568,19.633576947733783,19.228605818322936,18.828024323829588,18.431695388042634,18.039487860019328,17.651276918768065,17.26694445839926,16.886379452555953,16.509478296999628,16.136145129294142,15.76629212460136,15.399839766675743,15.036717093221757,14.676861914856964,14.320221007005216,13.966750274127772,13.616414885785655,13.269189384113343,12.925057762372235,12.584013514341457,12.246059654393626,11.911208708193616,11.579482674049054,11.250912955031747,10.925540262079586,10.60341448837778,10.28459455540716,9.96914823113453,9.657151920906065,9.348690431688983,9.043856710388962,8.742751557050756,8.445483313826957,8.152167530674623,7.862926608811333,7.577889423030808,7.297190924043487,7.020971722069122,6.749377652966211,6.482559328237093,6.220671670297171,5.963873434442289,5.71232671898925,5.46619646510105,5.225649947840122,4.9908562600200606,4.7619857904484455,4.539209698170691,4.322699384337263,4.112625963323816,3.909159734736239,3.7124696579297507,3.522722830663535,3.340083973499537,3.164714921536417,2.9967741250469704,2.8364161605598333,2.6837912538941358,2.5390448166188024,2.402316997366839,2.273742249389061,2.1534489156816523,2.041558832967674,1.9381869557545066,1.843441001627233,1.757421118872454,1.6802195774581357,1.611920484322992,1.5525995238539343,1.5023237243523493,1.4611512512098406,1.4291312274315748,1.4063035820610654,1.3926989269740746,1.388338462421813,1.3932339116148986,1.4073874845499041,1.4307918711901442,1.4634302640217074,1.505276409915159,1.5562946911328854,1.616440235232104,1.6856590535244456,1.7638882076648477,1.85105600385576,1.9470822140673771,2.051878323591347,2.1653478041640404,2.287386411816688,2.4178825085332702,2.5567174067236853,2.7037657354492675,2.8588958272706027,3.021970124524021,3.1928456037730855,3.3713742171254415,3.557403349053219,3.7507762873075032],[21.189382758248595,20.765417228466944,20.345944506209882,19.93082347065106,19.519918620360606,19.113100491411842,18.710246056858523,18.31123910635002,17.915970604712975,17.524339028393072,17.13625067871876,16.751619971020297,16.37036969871206,15.992431271523154,15.617744927141379,15.246259915617333,14.877934655959814,14.51273686443917,14.15064365420285,13.791641605895641,13.435726809066802,13.08290487423624,12.73319091558255,12.38660950430631,12.04319459281254,11.702989409946289,11.366046327604579,11.032426699136328,10.70220067002884,10.37544696146509,10.052252627419579,9.732712786042331,9.416930326159859,9.105015589798722,8.797086031711302,8.49326585695436,8.193685637638698,7.898481910032438,7.607796753261176,7.321777350904939,7.040575536844694,6.764347326759787,6.493252436721896,6.227453790370978,5.967117016193836,5.712409936456569,5.463502049367811,5.220564006070653,4.98376708407705,4.753282658769457,4.529281674600514,4.311934117622379,4.10140849097336,3.8978712949402374,3.7014865132006634,3.5124151068308493,3.3308145176398885,3.1568381823632228,2.9906350592142497,2.8323491682549955,2.6821191470040615,2.5400778226530965,2.406351802211753,2.2810610818458175,2.1643186766139078,2.0562302717452785,1.95689389653473,1.86639962186086,1.7848292822610254,1.7122562234205638,1.6487450758554374,1.5943515554866359,1.5491222917216811,1.513094683573712,1.4862967842621204,1.468747214650806,1.460455105791155,1.4614200707470326,1.4716322057887172,1.491072120952115,1.5197109998689298,1.5575106886832009,1.6044238137798352,1.6603939279618638,1.7253556846253826,1.7992350393947243,1.8819494785957254,1.9734082738620469,2.0735127620889964,2.1821566498709553,2.2992263414830845,2.4246012893952456,2.558154366236591,2.6997522570630905,2.8492558707175766,3.0065207690130547,3.1713976124149124,3.3437326208468834,3.5233680481988334,3.7101426690722756],[21.929017019971145,21.49503220577817,21.06536154813535,20.639871151500284,20.218433268682602,19.800926695024017,19.387237142390553,18.977257591822998,18.570888623757405,18.168038724796645,17.76862457008655,17.37257128042524,16.97981265331235,16.590291367225163,16.203959158491415,15.82077697021291,15.440715072780533,15.063753155608682,14.689880389806145,14.319095461590008,13.951406576339494,13.58683143327725,13.225397170856139,12.867140283020142,12.512106506597684,12.160350680174897,11.81193657488425,11.466936697630686,11.125432067362421,10.787511965076778,10.453273658332424,10.122822101118054,9.796269610003641,9.4737355175735,9.155345804210572,8.841232709368068,8.531534323527982,8.22639416210551,7.925960722614139,7.63038702645788,7.339830146764424,7.054450723716232,6.774412468874995,6.499881660028998,6.231026628122039,5.9680172378471035,5.711024363507441,5.460219361762377,5.215773542884753,4.97785764216148,4.74664129306832,4.522292503844397,4.304977139081627,4.094858407928607,3.8920963604882313,3.696847393962922,3.5092637700713616,3.329493145225779,3.157678114919471,2.9939557737304545,2.83845729229886,2.6913075125834043,2.5526245626457857,2.422519492151677,2.3010959297129783,2.1884497631286832,2.084668843510996,1.989832714209646,1.9040123653708703,1.827270014888363,1.759658916422132,1.701223195077615,1.6519977112521147,1.6120079530686393,1.5812699577290967,1.5597902620294848,1.5475658821897795,1.5445843230607732,1.5508236166794198,1.5662523900537657,1.5908299619682582,1.6245064685107682,1.6672230169339741,1.7189118673763524,1.7794966418820586,1.8488925600747246,1.9270067007580076,2.0137382886356363,2.1089790052662964,2.2126133232938168,2.3245188629213964,2.4445667695298803,2.5726221112749252,2.7085442954362087,2.852187502233973,3.0034011347743474,3.16203028373502,3.3279162053574916,3.5008968112709167,3.6808071686362247],[22.67586612486451,22.231635883593782,21.791550436494518,21.35548378243883,20.923316566880594,20.494936450138944,20.070238454036534,19.649125285822908,19.23150763838356,18.817304465808284,18.406443233468515,17.998860141832118,17.594500323324837,17.19331801163112,16.795276682911876,16.400349168503343,16.00851773874946,15.619774157708935,15.234119708568281,14.851565189682386,14.472130881254829,14.095846482760752,13.722751021305399,13.352892731201045,12.986328905133966,12.623125717380624,12.263358019618614,11.90710910996237,11.55447047593633,11.205541512178666,10.860429213746606,10.519247845969684,10.182118591869688,9.849169178235165,9.520533481504328,9.196351114672431,8.876766996498286,8.561930904339171,8.251997011993916,7.947123413980233,7.647471637714144,7.353206145096808,7.064493825046576,6.781503478542232,6.504405297766281,6.2333703409555445,5.968570004579399,5.710175494474382,5.458357297567018,5.21328465581491,4.975125043989369,4.744043652910891,4.52020287973208,4.3037618268407565,4.0948758109295085,3.893695883746452,3.7003683660060354,3.515034395898042,3.337829493587913,3.168883143052211,3.0083183925394845,2.8562514748894032,2.712791448881675,2.578039862721451,2.452090440699533,2.335028793994267,2.226932156507475,2.127869146549502,2.0378995551087895,1.9570741613592348,1.8854345759746618,1.8230131127338343,1.7698326888122278,1.7259067540681938,1.6912392495417246,1.6658245952938815,1.649647707624399,1.6426840456143434,1.644899686850203,1.6562514320957824,1.676686938588877,1.7061448815514666,1.7445551434150461,1.791839030177214,1.8479095142219375,1.91267150285422,1.9860221317206053,2.067851082210086,2.158040921856095,2.256467466689161,2.363000164422208,2.477502497286077,2.599832403272312,2.7298427144833846,2.8673816112377755,3.0122930905287513,3.1644174473912803,3.3235917676918407,3.489650430820487,3.6624256207341324],[23.429643838369067,22.974953966589368,22.52424966157099,22.0774134462795,21.63433495527628,21.194911275265063,20.75904726264381,20.326655837082328,19.897658250219585,19.471984328651708,19.04957269046084,18.630370934616806,18.214335802667087,17.801433312216226,17.391638861782795,16.984937306710346,16.581323005898184,16.180799839207676,15.78338119549046,15.389089931275448,14.997958300242132,14.610027853697787,14.225349312365685,13.843982409879905,13.46599570846967,13.091466387401978,12.720480004835217,12.353130233818709,11.989518573252703,11.629754034700724,11.273952806020679,10.922237892852557,10.574738739069044,10.231590827360133,9.89293526118422,9.558918329375606,9.229691054751857,8.905408728113876,8.586230429076572,8.272318535208662,7.963838220996214,7.660956948175979,7.363843949011077,7.0726697041035465,6.787605416354947,6.508822482698253,6.236491965231006,5.970784063381663,5.71186758873782,5.459909444156779,5.215074108765759,4.977523130440817,4.7474146273305315,4.524902799962515,4.310137455438278,4.103263545184522,3.904420717687256,3.713742887588803,3.531357822477285,3.357386748643641,3.191943977022625,3.0351365504720187,2.8870639134784,2.7478176053086574,2.61748097755404,2.496128936938322,2.383827714183677,2.280634659647422,2.1865980663602818,2.101757021012144,2.0261412833451624,1.959771194326315,1.9026576133827913,1.8548018848938614,1.8161958340426239,1.7868217920404321,1.7666526506461695,1.7556519458121436,1.7537739701984956,1.7609639142089657,1.7771580351127971,1.8022838537309722,1.8362603780798485,1.8789983532821308,1.9304005369740391,1.9903619993588748,2.0587704469811356,2.1355065692221125,2.2204444064478475,2.313451738673443,2.4143904935444986,2.5231171723767485,2.639483292939338,2.763335847615455,2.8945177755266025,3.0328684471637484,3.178224160029895,3.3304186437647774,3.489283573192992,3.6546490877125537],[24.190079269820014,23.724728573797158,23.263215147818226,22.805430626022822,22.35127418362092,21.900652848000462,21.453481785606076,21.0096845637037,20.56919338622341,20.131949302952744,19.69790239143499,19.26701191101124,18.839246428530817,18.41458391534221,17.993011815265287,17.57452708333493,17.15913619519669,16.74685512712535,16.33770930672812,15.931733534484554,15.528971876365283,15.12947752786091,14.73331264984063,14.340548176747014,13.951263597718864,13.565546711317465,13.183493354613047,12.805207107467442,12.430798972925356,12.060387034700494,11.694096092813387,11.332057278505204,10.97440764961577,10.621289767674345,10.27285125800806,9.929244354225373,9.590625428480074,9.257154508965316,8.928994786126452,8.606312109116365,8.289274474046989,7.978051505616163,7.672813933709228,7.373733066590475,7.080980262309891,6.794726399956326,6.515141352388508,6.2423934620709485,5.9766490216320625,5.718071760747291,5.466822340930578,5.223057859793002,4.986931366298331,4.758591388511129,4.538181475294728,4.325839753373099,4.121698501123452,3.925883740414638,3.738514847750783,3.5597041859200558,3.3895567572851144,3.2281698797850984,3.075632886648851,2.9320268507460003,2.7974243344263927,2.671889165619824,2.5554762408869234,2.448231356028889,2.3501910647787847,2.2613825660103792,2.1818236198126044,2.111522492688553,2.0504779320481523,1.9986791700731796,1.956105956942726,1.922728623316572,1.8985081718836714,1.8833963976932724,1.8773360368973595,1.880260943445486,1.8920962931867304,1.9127588147490542,1.942157046483608,1.9801916186811734,2.0267555601899243,2.0817346284883884,2.1450076621951535,2.2164469549275596,2.2959186493558548,2.3832831502368297,2.478395555152548,2.581106101625009,2.6912606292271404,2.808701055264226,2.933265862557972,3.0647905978281234,3.203108379133769,3.3480504108086127,3.499446504301248,3.6571256033134025],[24.956918226198383,24.480719527342224,24.008221473604443,23.53932535184702,23.073940381791054,22.611983996130718,22.153382095305133,21.698069276141858,21.245989033666667,20.79709393545672,20.351345767999298,19.90871565460443,19.46918414450753,19.032741272887193,18.59938659161292,18.169129170627848,17.74198756996234,17.317989782464643,16.89717314742543,16.47958423536273,16.065278704322708,15.65432112813976,15.24678479718582,14.842751492223659,14.442311232062057,14.04556199579141,13.652609420456919,13.26356647510217,12.8785531121889,12.497695897468585,12.121127619447853,11.74898687965282,11.381417664956613,11.018568903289733,10.660594004104155,10.30765038500915,9.959898986039397,9.617503773054237,9.28063123180035,8.949449854199013,8.624129618443035,8.304841464507643,7.9917567666936264,7.6850468048303595,7.3848822357702915,7.091432566805736,6.804865632632755,6.525347077476053,6.253039843972869,5.988103670392912,5.730694597745824,5.480964488296969,5.23906055697729,5.005124917133076,4.77929414201734,4.561698843375829,4.352463268428025,4.151704916486702,3.959534176398981,3.7760539859276414,3.6013595141236747,3.435537867670198,3.278667822103793,3.1308195787426776,2.992054548071679,2.862425160252452,2.7419747033436135,2.6307371897299685,2.5287372511730286,2.435990062806594,2.352501296311976,2.278267102417302,2.2132741227749353,2.1574995311803367,2.1109111040051936,2.073467319627488,2.045117486551691,2.0258018998237644,2.015452025258308,2.0139907109094404,2.021332425132834,2.03738352050439,2.0620425227811623,2.095200444012921,2.1367411188382057,2.1865415629271787,2.244472352465288,2.3103980235067327,2.384177489965558,2.4656644789545314,2.5547079821285807,2.6511527216400648,2.7548396292681403,2.865606337243797,2.983287679256063,3.1077162000934866,3.2387226723482696,3.3761366185887742,3.519786837389103,3.6695019315926842],[25.729924482437053,25.242705552709133,24.7590629977363,24.278908250412673,23.802161028636473,23.328749583030582,22.858610918334282,22.39169098778307,21.927944859876753,21.467336857021277,21.0098406656164,20.555439417249662,20.104125740745957,19.65590178491226,19.210779211907195,18.76877916125596,18.329932184621697,17.894278151534447,17.461866126368715,17.03275421694914,16.60700939525151,16.184707290752264,15.765931957064232,15.350775612578605,14.939338355913485,14.531727857046969,14.128059025087884,13.728453653709247,13.333040045338528,12.941952615264352,12.5553314768812,12.17332200935186,11.796074409021713,11.42374322596897,11.056486887120943,10.694467207407808,10.337848890462226,9.986799020405549,9.641486546288697,9.302081760778593,8.968755774698659,8.641679989044828,8.321025566106158,8.006962901322048,7.699661097505599,7.399287443055623,7.106006895767172,6.819981573833497,6.54137025560993,6.27032788968326,6.007005116758352,5.751547804837255,5.504096599125125,5.264786488051698,5.033746386747506,4.811098739259974,4.596959140736902,4.391435980743063,4.194630108810543,4.0066345232548075,3.8275340842166723,3.657405251815659,3.496315850222647,3.3443248583798644,3.2014822280139166,3.0678287295034448,2.9433958260769915,2.828205576729233,2.7222705681551806,2.6255938759123447,2.5381690549307123,2.4599801593998256,2.391001791971589,2.331199182126986,2.2805282934648945,2.238935959581956,2.2063600481242087,2.182729652504298,2.1679653106926784,2.161979250407729,2.1646756599481805,2.175950983832192,2.195694242330843,2.223787373910067,2.260105599524392,2.3045178076384065,2.3568869587879284,2.417070508432526,2.484920846794677,2.5602857543283166,2.6430088714114417,2.73293018081342,2.8298865014483177,2.933711991890706,3.0442386621002635,3.161296891776232,3.2847159537422073,3.4143245407463714,3.549951294051586,3.691425332184382],[26.508880961933638,26.010485384540864,25.51555488713175,25.024011491238443,24.535785814138677,24.050817282944884,23.56905432150949,23.090454509569604,22.614984713640112,22.142621189251173,21.673349654214825,21.207165332694423,20.744072969941136,20.284086817651836,19.827230589993718,19.373537390431228,18.923049609581174,18.475818794411115,18.031905489184716,17.59137904864479,17.154317424010472,16.72080692244897,16.290941940763858,15.864824674121902,15.44256480071695,15.024279143344074,14.610091308928107,14.200131307118909,13.79453514913019,13.393444428059796,12.99700588198635,12.605370941190435,12.21869526089736,11.837138240983368,11.46086253412723,11.090033543924907,10.724818914515918,10.365388013296213,10.01191140831374,9.664560341959248,9.323506202576294,8.98891999562094,8.660971816002839,8.339830323235994,8.025662221018543,7.718631742847522,7.418900145255694,7.126625210234207,6.841960758376385,6.565056174244896,6.296055945426868,6.035099216699227,5.782319360679963,5.537843566290101,5.301792446296272,5.074279665144814,4.8554115882358015,4.6452869537192125,4.443996567825908,4.251623024673582,4.068240451412187,3.8939142794952915,3.728701042783068,3.572648203099957,3.42579400378522,3.2881673516882985,3.159787727973093,3.040665128006367,2.9308000305157966,2.8301833961127816,2.7387966951846305,2.656611965070006,2.5835918963412476,2.519689947927305,2.464850490722081,2.4190089792350467,2.3820921507544854,2.3540182514088244,2.3346972884284956,2.3240313078299817,2.3219146966651607,2.3282345089033747,2.342870813940632,2.3656970666605996,2.396580497905508,2.43538252415211,2.4819591751286127,2.5361615380530793,2.5978362171225964,2.6668258068353374,2.74296937768508,2.826102972729476,2.916060113499853,3.012672313691507,3.1157695990494183,3.22518103184525,3.3407352383272295,3.462260937515466,3.589587469710981,3.72254532308773],[27.29359082137065,26.783878772443707,26.277534040506154,25.774489625418354,25.274687390571252,24.77807824227423,24.284622281239876,23.79428892569825,23.307057005760804,22.822914828742746,22.34186021524226,21.863900505865352,21.389052538575484,20.917342596737903,20.44880632801903,19.98348863439105,19.52144353358127,19.062733992393575,18.60743173241645,18.155617008716966,17.70737836220364,17.262812346422358,16.82202322962819,16.385122673052585,15.952229386358537,15.523468761347008,15.09897248504469,14.678878133367116,14.263328746610807,13.85247238808444,13.446461687240848,13.04545336871961,12.649607768753421,12.259088340430448,11.87406114933923,11.494694361152389,11.12115772273025,10.753622038345503,10.392258642645118,10.037238871975703,9.68873353570359,9.346912389161057,9.011943609844813,8.683993278483182,8.36322486657306,8.049798731968032,7.743871624074,7.44559620017914,7.155120554410614,6.872587760771461,6.59813543166776,6.331895293288184,6.073992779146269,5.8245466430394846,5.583668592619446,5.351462944703868,5.128026303393877,4.913447261989905,4.707806129625868,4.51117468346524,4.323615947223558,4.145183996700808,3.975923792923732,3.815871043412918,3.6650520920027403,3.523483837554139,3.391173681811064,3.2681195065614483,3.154309680173231,3.0497230934852126,2.9543292249420423,2.868088234772312,2.7909510879192014,2.722859705344314,2.6637471432378774,2.6135377995822973,2.572147647431711,2.539484494187721,2.5154482660712603,2.499931316912865,2.49281876030848,2.4939888241159416,2.503313226198264,2.520657570254336,2.5458817605156447,2.5788404340294164,2.6193834091943335,2.6673561491647746,2.7226002386937402,2.7849538729430403,2.854252356752526,2.930328612827747,3.013013697278005,3.102137320914009,3.1975283746966223,3.299015457715379,3.4064274060675706,3.519593821006053,3.6383455947260304,3.762515432168517],[28.083878434421823,27.562727381771975,27.044859903455926,26.530220312489227,26.018762008908357,25.51044762356081,25.00524913341232,24.503147948015464,24.004134966872826,23.508210607517743,23.01538480422593,22.525676977362032,22.03911597345565,21.555739976191724,21.075596388589986,20.598741686736922,20.125241245521757,19.65516913691394,19.188607901404772,18.725648293318336,18.26638900077755,17.810936341189585,17.359403933190066,16.911912346058465,16.46858872768641,16.029566412246833,15.594984508774587,15.164987471927988,14.739724656255753,14.319349855344734,13.904020827270434,13.493898807814572,13.089148012951766,12.689935132140455,12.29642881398157,11.90879914583203,11.527217128978766,11.151854150992705,10.782881456890815,10.420469620738054,10.064788019319565,9.7160043095073,9.374283910933581,9.03978949556801,8.71268048577259,8.393112562383955,8.081237184340516,7.777201121336833,7.481146000947234,7.193207871616074,6.913516782863131,6.642196383999415,6.379363542591651,6.125127983852663,5.8795919520704185,5.64284989512038,5.414988173034693,5.196084791527431,4.986209161298119,4.785421883856294,4.593774564527892,4.411309653220529,4.238060313438951,4.07405031995487,3.9192939854469024,3.773796116336997,3.6375519979596227,3.510547409109452,3.392758665922689,3.284152694956612,3.1846871352418518,3.0943104689924956,3.0129621805707103,2.9405729432153676,2.8770648329584994,2.8223515690695207,2.776338780285295,2.738924296004561,2.709998461548187,2.689444476512514,2.677138755171706,2.672951307817085,2.676746141856757,2.688381681437887,2.7077112042968325,2.7345832944891733,2.7688423096026966,2.810328861011654,2.8588803056904686,2.914331248069267,2.9765140503827636,3.045259349937698,3.1203965817027743,3.2017545046085516,3.289161729933334,3.3824472501446863,3.4814409665646986,3.5859742142309123,3.695880282333294,3.81099492862146],[28.879590269428263,28.34689558489064,27.81741517086604,27.291104931815767,26.767930037300808,26.247865029455653,25.730893901541712,25.217010147338094,24.70621678121742,24.198526328844572,23.693960788527164,23.192551563337023,22.69433936421202,22.19937408433737,21.707714645193917,21.219428814748447,20.734592998347143,20.25329200295722,19.77561877548436,19.301674115973317,18.831566366576673,18.3654110772515,17.90333064921537,17.44545395726201,16.99191595210185,16.542857243954643,16.098423668678894,15.658765837776937,15.224038673664175,14.794400931636453,14.370014710010574,13.951044949949534,13.537658926515768,13.130025732522867,12.72831575677841,12.332700158327818,11.943350338321551,11.560437411135265,11.184131676374847,10.814602093395521,10.452015759956463,10.096537396619627,9.748328838483667,9.407548535821382,9.074351065161403,8.748886652322867,8.431300708874696,8.121733383449891,7.820319129299275,7.527186289419025,7.242456700532209,6.9662453171462015,6.6986598568460884,6.439800467918468,6.1897594203313115,5.94862082102333,5.7164603543814305,5.493345048707008,5.279333069391658,5.074473539440554,4.878806387897205,4.692362226637375,4.515162255912273,4.347218198932519,4.188532265694686,4.039097146162086,3.8988960328208098,3.767902672541422,3.646081447586309,3.533387485512687,3.4297667976321886,3.335156445599752,3.249484735617825,3.172671439656604,3.1046280430077324,3.045258017407587,2.9944571188873947,2.9521137094311385,2.9181091014487146,2.892317924001455,2.874608509649952,2.8648433007305307,2.862879273806757,2.8685683809862708,2.8817580067412107,2.9022914388226546,2.930008351816017,2.964745301845303,3.0063362308998016,3.05461297922698,3.1094058042106054,3.170543904132967,3.2378559452050997,3.3111705902387802,3.3903170273290026,3.4751254969156475,3.56542781559798,3.6610578950857384,3.7618522546854667,3.8676505257408036],[29.68059565665877,29.13627113896189,28.595106373131532,28.057069075438047,27.522136359028888,26.99029480454884,26.461540501547162,25.935879060543762,25.41332559571723,24.89390467826815,24.37765026060154,23.86460557156245,23.354822983047903,22.84836384840681,22.34529831312648,21.845705098389892,21.34967125817154,20.857291910621452,20.36866994456614,19.883915702032166,19.403146637771904,18.926486956842126,18.454067231353623,17.986023997574524,17.522499334630425,17.063640426101344,16.60959910586826,16.160531389610515,15.716596993399786,15.277958840876025,14.844782560526044,14.417235974615938,13.99548858135434,13.579711031884345,13.1700746037179,12.766750672237468,12.369910181895687,11.979723118744714,11.596357985922852,11.219981283716892,10.850756995804476,10.488846083261823,10.134405987898024,9.787590146448519,9.448547517126705,9.117422119994611,8.79435259257084,8.479471762047034,8.172906235432851,7.8747760088940755,7.585194097489327,7.304266186447858,7.03209030506447,6.76875652421776,6.5143466784450865,6.2689341134317855,6.032583459693819,5.805350433152179,5.587281663214384,5.378414548893575,5.178777143409144,4.9883880676249905,4.807256452592499,4.6353819113755375,4.4727545402443845,4.319354949234941,4.1751543219789164,4.040114504620348,3.914188123544144,3.797318731553333,3.689440982044011,3.590480830640514,3.500355763668675,3.4189750527621587,3.346240034816267,3.2820444164253857,3.2262746018646755,3.178810043603999,3.1395236142725045,3.108281998926162,3.08494610640781,3.069371498530449,3.061408835759468,3.060904338018598,3.067700259197709,3.0816353738983118,3.1025454749148436,3.130263879916682,3.1646219457674905,3.2054495888948518,3.252575810104573,3.3058292222202414,3.3650385789199495,3.430033303138403,3.500644013403945,3.5767030464864353,3.658044974743265,3.7445071165672017,3.835930038360976,3.932158046489742],[30.48678744131969,29.930765746868353,29.37786434326314,28.828062919918445,28.28135064794307,27.73772621355409,27.197197822130747,26.659783172895658,26.125509404301702,25.594413010292868,25.066539727697574,24.541944395101943,24.020690783638464,23.502851400212055,22.988507263770952,22.477747655312466,21.970669842395274,21.467378779008065,20.96798678172081,20.47261318311783,19.981383963582065,19.494431362566715,19.011893470553794,18.533913802958484,18.060640857294274,17.59222765496517,17.128831269098878,16.67061233987785,16.217734578863773,15.770364263844934,15.328669725765135,14.89282082931736,14.46298844880486,14.039343940886958,13.62205861583649,13.211303208940379,12.807247353674379,12.41005905827762,12.019904187342007,11.636945950016152,11.261344396402933,10.893255923704784,10.532832793640384,10.180222662621963,9.835568126142814,9.499006278780959,9.170668291176526,8.850679005288228,8.539156549177774,8.236211972510823,7.941948903899286,7.656463231142151,7.3798428053516245,7.112167169877434,6.853507314865819,6.603925458210473,6.363474853571401,6.132199626054047,5.910134636055705,5.697305371699391,5.4937278701870085,5.299408668314557,5.1143447823020125,4.938523717000167,4.771923504445976,4.61451277164748,4.466250837389133,4.327087837758803,4.196964880009171,4.0758142242787105,3.9635594926115756,3.8601159046314013,3.765390539141846,3.679282620846636,3.601683831304456,3.532478643159137,3.471544676613876,3.418753077049522,3.373968912621727,3.3370515906101685,3.3078552912350956,3.2862294176026294,3.2720190603904644,3.2650654758400943,3.265206575580681,3.272277426773149,3.286110761031245,3.3065374905492106,3.3333872298435248,3.36648882149877,3.405670864295411,3.450762242089856,3.501592651814873,3.5579931289711686,3.6197965689886313,3.6868382428485518,3.7589563053757526,3.8359922946322804,3.91779162087167,4.0042040435451],[31.298082519051043,30.730315498469675,30.16564456254295,29.604061475329583,29.045567520016093,28.490173494957357,27.937899680356963,27.388775775690043,26.842840808061847,26.300143011784655,25.760739679544738,25.224696985618557,24.692089781683713,24.163001365854623,23.637523225655745,23.11575475572524,22.597802951120343,22.08378207717058,21.573813316897745,21.068024397090383,20.566549194186706,20.06952732118197,19.577103696834985,19.08942809850303,18.60665469998494,18.128941595798413,17.656450313359485,17.18934531456931,16.72779348834624,16.271963635669053,15.822025948720263,15.378151485736687,14.940511643187701,14.50927762690985,14.084619923829644,13.666707775904694,13.255708657906315,12.851787760655,12.455107481303347,12.065826922239186,11.684101400155097,11.310081966799201,10.943914942885945,10.585741466605112,10.235697058122142,9.893911201413601,9.560506944728036,9.235600520905114,8.91930098872455,8.611709896391483,8.312920968196726,8.023019815318621,7.74208367165899,7.470181155528176,7.207372057914625,6.953707157992232,6.709228066434818,6.473967097021152,6.247947166926705,6.031181726009832,5.823674715310522,5.625420554889841,5.436404161047519,5.256600992864623,5.085977127927645,4.924489367000383,4.7720853673206385,4.628703804110389,4.494274559801129,4.368718940390458,4.2519499182623415,4.143872400721785,4.04438352341533,3.9533729677319727,3.8707233012051407,3.796310339865367,3.7300035314255737,3.671666358116605,3.6211567579300006,3.578327562968231,3.5430269535497843,3.5150989266679202,3.494383777357611,3.4807185914853296,3.473937748441138,3.473873432181943,3.4803561490490553,3.493215250762211,3.5122794609763632,3.537377403776407,3.5683381324791714,3.604991657110947,3.647169468932967,3.6947050603963563,3.7474344389221486,3.805196632921061,3.8678341884916057,3.9351936552639533,4.00712605989037,4.083487365721269],[32.11442225123285,31.534881189987566,30.95842738300256,30.38506471013921,29.81480656024916,29.247675789861308,28.683704652655155,28.122934699937968,27.565416652433022,27.011210243774403,26.460384036191336,25.913015208950796,25.369189320211202,24.829000043021853,24.292548876283007,23.759944831558187,23.231304096705305,22.706749677364343,22.18641101740799,21.670423599526238,21.158928527177487,20.652072089196032,20.150005308399443,19.652883475588627,19.160865670378485,18.67411427033773,18.192794449952444,17.717073670959365,17.24712116562163,16.783107414541256,16.325203620619817,15.873581180790286,15.4284111571502,14.989863749128018,14.558107768311334,14.133310117557452,13.715635275993593,13.305244791495815,12.902296782212685,12.506945448671832,12.119340597974753,11.739627181548158,11.367944847878054,11.00442751160676,10.649202940322404,10.30239236031592,9.964110082522065,9.634463149798618,9.313551006632162,9.001465192289578,8.698289058362121,8.404097511573564,8.11895678264608,7.842924221936984,7.5760481224770055,7.318367570956029,7.0699123271162065,6.830702731924521,6.600749644808157,6.380054410146388,6.16860885312231,5.96639530494728,5.773386657380177,5.589546446373312,5.4148289645868255,5.2491794024244545,5.0925340171554465,4.944820329600782,4.80595734777682,4.675855816806262,4.554418494325331,4.441540450537327,4.337109391986748,4.241006008054887,4.153104339107781,4.073272165160537,4.001371413858753,3.9372585865181655,3.8807852009079147,3.8317982494111895,3.7901406711494996,3.755651836613806,3.7281680433071145,3.7075230208691545,3.6935484441245308,3.686074452471252,3.684930174007035,3.6899442527760717,3.7009453775094423,3.717762810227602,3.7402269130739434,3.7681696717537747,3.801425213963592,3.839830321210977,3.883224932445817,3.9314526379488504,3.9843611619535526,4.041802832512214,4.103635037156327,4.169720662945338],[32.93577275802623,32.344448519923034,31.756218125611944,31.17109755136777,30.5891122247977,30.010296946381295,29.43469578208919,28.862361927411982,28.293357543218853,27.727753563952394,27.165629478751413,26.607073086177166,26.052180223299917,25.50105446998147,24.953806829266544,24.41055538486884,23.8714249368089,23.336546616327873,22.806057481265597,22.280100093151336,21.75882207731221,21.242375667356683,20.730917235438543,20.22460680975095,19.723607580739248,19.228085397556317,18.738208256314103,18.254145781710434,17.776068703630663,17.304148330339068,16.838556019885644,16.37946265135924,15.927038097618583,15.481450701128187,15.04286675451646,14.611449987458847,14.187361061469296,13.770757074158883,13.361791074491368,12.96061159053133,12.567362171142088,12.182180943047621,11.805200184625132,11.43654591774348,11.076337518906785,10.724687350903219,10.38170041609544,10.047474032422581,9.722097533113496,9.405651991037805,9.098209968545358,8.79983529356595,8.51058286266021,8.230498471629335,7.959618674206393,7.697970669265149,7.445572216894532,7.202431583597643,6.968547516784401,6.743909248636589,6.528496529333296,6.322279689534303,6.125219731928563,5.937268451565323,5.758368584596573,5.588453984971859,5.427449828540265,5.2752728439297485,5.131831569491463,4.997026635516188,4.8707510708521,4.752890632977724,4.64332416051165,4.5419239470712185,4.4485561353266725,4.363081130034807,4.285354028777687,4.2152250690773085,4.1525400905066,4.097141010370845,4.048866311491753,4.0075515405890645,3.9730298157218717,3.945132341223874,3.9236889285436707,3.9085285213829852,3.899479723512429,3.896371327636154,3.899032843673549,3.907295024827855,3.9209903898184884,3.939953739665633,3.9640226674325065,3.9930380593524344,4.026844585794413,4.065291180552272,4.108231506978477,4.155524409524306,4.207034349293063,4.262631822262442],[33.762125087684744,33.159028160526844,32.55904705368849,31.962209760017952,31.368553618805898,30.778125200570358,30.1909801633575,29.60718308100172,29.026807243874927,28.44993443273993,27.876654666405493,27.307065923961996,26.741273842454675,26.179391390927087,25.62153852184098,25.06784180094782,24.51843401675425,23.973453770786378,23.433045049917332,22.89735678207761,22.366542376719195,21.840759251451345,21.320168346308755,20.80493362715076,20.295221579724032,19.791200695949854,19.293040954021038,18.800913293912807,18.31498908992595,17.83543962188984,17.362435546656933,16.896146371519542,16.43673993117372,15.984381869844182,15.539235130168155,15.101459450415357,14.67121087159543,14.248641255973737,13.833897818481217,13.427122672464165,13.028452391175588,12.638017586361238,12.255942505240593,11.882344647126434,11.51733440086587,11.161014704221692,10.813480726244888,10.47481957361857,10.145110021879328,9.82442227234537,9.512817735501532,9.210348841509466,8.917058878427788,8.632981858641303,8.358142413911525,8.092555719372251,7.836227446704791,7.58915374663728,7.351321260822074,7.122707163054636,6.903279229706651,6.692995939156107,6.491806599907471,6.299651507006704,6.11646212626841,5.942161305746701,5.776663513797256,5.619875102995972,5.471694599099906,5.332013014158824,5.200714182811268,5.077675120727403,4.9627664040926724,4.8558525689612795,4.756792529247265,4.665440012063398,4.581644009064607,4.505249242403254,4.436096643858488,4.374023845661303,4.318865681500732,4.270454696165316,4.228621662247261,4.193196102314924,4.164006814942414,4.140882402973156,4.123651802387423,4.1121448101419125,4.106192609352697,4.105628290200976,4.110287364954361,4.1200082755144996,4.134632891924941,4.154007000301046,4.177980778676354,4.206409259297147,4.239152775938706,4.276077394863064,4.317055328088411,4.36196532769503],[34.59349526128991,33.978655704465844,33.36696922165873,32.75847568239865,32.15322415106007,31.551272735467656,30.952688407597194,30.357546796925106,29.765931957064232,29.177936106405767,28.593659343567808,28.01320933852844,27.436701000396525,26.86425612284505,26.29600300830149,25.732076072054475,25.172615427498485,24.617766453796307,24.067679347293314,23.522508658067736,22.98241281304687,22.447553627160893,21.918095804042473,21.394206427812954,20.876054447523266,20.36381015584032,19.857644663587546,19.357729371760875,18.86423544264937,18.377333271692414,17.89719196170313,17.42397880108031,16.957858747619024,16.498993919512507,16.047543095116104,15.603661223016593,15.167498943918844,14.73920212582491,14.318911413939936,13.906761796693676,13.50288218921664,13.10739503555627,12.720415930860359,12.342053264693682,11.97240788658832,11.611572794859745,11.259632849648773,10.916664511074917,10.582735603309068,10.257905105293444,9.942222968754656,9.635729964071345,9.338457554472054,9.050427798951453,8.771653284204563,8.502137085788888,8.241872758634415,7.99084435693069,7.749026483329613,7.51638436731217,7.2928739724772385,7.078442132421461,6.873026714790875,6.676556812998124,6.488952965013667,6.310127398555877,6.139984301923489,5.97842011963466,5.825323871960473,5.680577497366857,5.544056216808341,5.415628918749517,5.295158563726199,5.182502607197959,5.077513439387269,4.980038840748069,4.889922451658355,4.807004254887494,4.731121069349553,4.662107053619099,4.599794217655819,4.544012941158948,4.494592496952085,4.451361577783408,4.414148824915783,4.3827833568757395,4.357095296729791,4.33691629626111,4.322080055429176,4.312422835509491,4.307783964330057,4.308006332045602,4.312936875919803,4.322427052619649,4.336333296564607,4.35451746291632,4.376847253841896,4.403196626735559,4.433446183138976,4.467483537160258],[35.429924192687324,34.803391486951995,34.18006419992909,33.5599938785862,32.94324106718696,32.32987512047419,31.71997398966704,31.113623981932705,30.51091949407475,29.911962721259947,29.316863341682158,28.72573817813644,28.138710837547634,27.555911329565596,26.977475665404043,26.403545438160805,25.83426738591453,25.269792938945763,24.71027775247985,24.15588122639302,23.606766013364044,23.063097516988883,22.525043381407052,21.992772974014507,21.466456862859197,20.946266290331863,20.43237264477607,19.924946931647874,19.424159245856938,18.93017824691725,18.44317063852696,17.9633006541831,17.490729550418436,17.02561510922411,16.568111151193445,16.118367060889117,15.676527325898249,15.242731090997772,14.817111728805664,14.399796428242965,13.990905802076295,13.590553514751997,13.198845931670146,12.815881790980718,12.441751898914571,12.076538849589408,11.720316770155176,11.373151092065438,11.035098349180377,10.706206003324425,10.386512297836848,10.076046139567087,9.774827009679043,9.482864903539477,9.200160299876067,8.926704159300213,8.662477952199222,8.407453715911759,8.16159414101016,7.924852686423378,7.697173723045314,7.478492705385441,7.26873637073204,7.067822965213539,6.875662496060372,6.6921570092890175,6.517200891951358,6.350681198016732,6.192477996881149,6.042464743428277,5.900508668500346,5.766471188574109,5.640208333377772,5.5215711901294,5.410406363026078,5.306556446565978,5.209860511242881,5.120154600114439,5.037272234711976,4.961044928730788,4.8913027079158615,4.827874634538854,4.770589334847995,4.719275527863391,4.673762553886067,4.6338809010899755,4.599462728572098,4.570342384246686,4.54635691598566,4.5273465744279235,4.513155305906149,4.5036312339700295,4.498627128020204,4.498000857606827,4.5016158309909695,4.509341416615657,4.521053346185978,4.536634098114587,4.5559732601493526,4.578967870064288],[36.271477484023514,35.633320284222705,34.99843567724008,34.366886629879545,33.738744863729586,33.11409063385725,32.4930124811711,31.875606959216974,31.26197833624996,30.65223827350151,30.046505480634636,29.444905349450266,28.847569566975103,28.254635709124692,27.66624681619554,27.082550951496337,26.503700744479907,25.929852919785823,25.361167813646794,24.797808879150985,24.239942181886928,23.687735887527246,23.141359742932266,22.600984552374683,22.06678165050146,21.5389223736592,21.01757753121425,20.50291687849888,19.995108593009796,19.494318755475323,19.00071083739236,18.514445196614496,18.035678582547625,17.564563652479926,17.10124850053856,16.645876200726565,16.198584365450024,15.759504720897613,15.328762700582853,14.906477058303235,14.492759501710353,14.087714347621937,13.691438200139107,13.304019652562296,12.925539014025418,12.55606806169195,12.19566981927743,11.844398362581838,11.502298652631925,11.16940639694827,10.845747939365253,10.531340178743813,10.226190516827899,9.930296835405443,9.643647502844384,9.36622140998353,9.097988035267518,8.83890753892495,8.588930885898998,8.347999997151273,8.116047928871994,7.892999079043577,7.67876942072015,7.47326676130332,7.2763910270140215,7.088034571682785,6.9080825089055615,6.736413066540183,6.572897962449666,6.417402800332899,6.269787484421368,6.129906651762299,5.997610120754377,5.8727433545519805,5.755147937908106,5.644662065984566,5.541121043621212,5.444357793523595,5.354203371801012,5.270487489264175,5.193039036873951,5.121686613719867,5.056259055899221,4.996585964664862,4.942498232212,4.893828563481647,4.8504119923706,4.812086390755131,4.778692968757757,4.7500767647134,4.726087123323137,4.70657816052011,4.691409213613188,4.680445275319434,4.673557410346077,4.670623153236619,4.671526886253414,4.67616019613078,4.684422208597783,4.696219899638514],[37.11824509790536,36.46855088987947,35.82221094249145,35.179299327710794,34.53989858602879,33.90409947176951,33.27200067305589,32.64370850729508,32.019336593122716,31.399005499818283,30.78284237527339,30.170980553660975,29.563559144015887,28.96072260099645,28.362620279151372,27.769405972067517,27.181237437820375,26.59827591219167,26.02068561115603,25.44863322417188,24.882287399840152,24.321818225517774,23.76739670249167,23.21919421833277,22.677382018058044,22.14213067573244,21.61360956814111,21.091986352156006,20.57742644740945,20.07009252587104,19.570144009902776,19.077736580341302,18.593021696125025,18.116146126948504,17.647251500386062,17.186473864882064,16.73394326995628,16.289783364919728,15.854111017339124,15.427035952427298,15.008660414472212,14.599078851349335,14.198377623090806,13.806634735410707,13.423919599008554,13.05029281539389,12.68580598989265,12.330501572412446,11.98441272645803,11.647563226801108,11.3199673861203,11.001630010837555,10.692546386287344,10.392702291264332,10.102074041904729,9.820628564765816,9.548323498878213,9.285107326456018,9.030919531861393,8.785690788333211,8.549343171903502,8.321790401841685,8.102938106884618,7.892684116431045,7.690918775801834,7.497525284593319,7.312380057079673,7.135353103552212,6.966308431419046,6.805104464827336,6.651594481513441,6.505627065532943,6.367046574473626,6.235693619709745,6.11140555821572,5.994016994421678,5.883360290562335,5.779266083944432,5.681563809536668,5.590082226269603,5.504649945421548,5.4250959594600605,5.351250169707234,5.282943911200608,5.2200104731301495,5.162285613245476,5.109608064646008,5.061820033390307,5.018767685389173,4.980301621080104,4.94627733641847,4.916555668762958,4.891003226279427,4.869492799538227,4.851903754034919,4.838122402423243,4.828042355311744,4.821564849541649,4.8185990529330365,4.81906234455897],[37.97034090782017,37.309215571201875,36.65154024862773,35.99739974706496,35.34688701341926,34.70010284773538,34.057155592165905,33.41816079666789,32.78324086245892,32.15252466433272,31.52614715299972,30.904248938679675,30.28697585723108,29.674478520156285,29.066911849870685,28.464434601670124,27.867208873871405,27.275399607637524,26.689174078030916,26.10870137786518,25.534151895947883,24.965696791324447,24.403507465145342,23.84775503178622,23.298609790852964,22.756240701700797,22.2208148620889,21.692496992579223,21.171448928270426,20.6578291194353,20.15179214260248,19.653488223591104,19.163062773970097,18.680655942372454,18.206402182048993,17.740429835995904,17.28286074093625,16.833809851377403,16.39338488490445,15.961685989803993,15.538805436043994,15.124827330563173,14.719827357748434,14.323872545901171,13.937021060412983,13.559322024289038,13.190815366572853,12.83153169914018,12.481492222242242,12.140708659089647,11.809183219678975,11.486908593973535,11.17386797445942,10.87003510800719,10.575374376879239,10.28984090863278,10.013380714579439,9.745930856374164,9.487419640219397,9.237766838085337,8.996883935263625,8.764674403490641,8.541033998797609,8.325851083168512,8.11900696901325,7.92037628539315,7.729827364868807,7.547222649776547,7.372419116679934,7.205268717686608,7.045618837268709,6.893312763177313,6.7481901699978355,6.610087613854284,6.478839036735942,6.35427627889028,6.236229597701065,6.124528191450589,6.019000726349882,5.919475865210721,5.825782796128106,5.7377517595419105,5.655214572051405,5.578005145366323,5.505959998793211,5.438918763675709,5.376724678232245,5.3192250712642615,5.266271833242442,5.217721873317321,5.173437560844129,5.133287150059495,5.09714518659959,5.064892894605386,5.036418543220522,5.011617791350955,4.990394009622534,4.972658578543129,4.958331161949227,4.94733995489329],[38.827902129063645,38.15546940815422,37.486596061763024,36.82137720804009,36.15991573581194,35.50232198710513,34.84871341667203,34.19921422956941,33.553954997908065,32.913072257956124,32.276708088839186,31.645009674137267,31.01812884773134,30.396221625300758,29.779447722917187,29.16797006422059,28.56195427769777,27.961568185614823,27.366981286180387,26.77836423053755,26.195888296198266,25.61972485854499,25.050044862030372,24.48701829270656,23.930813653711862,23.381597445333057,22.839533651247805,22.304783232532312,21.777503630995675,21.257848283373328,20.745966147878676,20.242001244573743,19.74609221097713,19.25837187428049,18.778966841493464,18.307997108781848,17.84557569120426,17.391808273989955,16.946792886433723,16.510619599414177,16.08337024746866,15.66511817628252,15.255928016371714,14.855855483657233,14.464947207546599,14.083240587052952,13.710763675395683,13.347535093438687,12.99356397223336,12.648849924843557,12.313383047539563,11.98714395035728,11.670103816928417,11.362224493397008,11.063458606147965,10.773749707984315,10.493032452302153,10.221232794725816,9.958268221581138,9.704048004501782,9.45847348038305,9.22143835581933,8.99282903508578,8.772524970652263,8.560399035147931,8.356317913628748,8.160142514937556,7.971728400887355,7.790926231943535,7.617582228029826,7.4515386430360975,7.29263425156386,7.1407048464075515,6.995583745236552,6.8571023049145206,6.725090441869041,6.599377156905923,6.479791062848753,6.366160913375621,6.258316131421234,6.156087335513936,6.059306862423587,5.967809284507579,5.8814319201586756,5.800015335779609,5.723403837735535,5.651445952766362,5.583994895376568,5.520909020760364,5.4620522618645735,5.407294549240675,5.356512212390478,5.309588361367019,5.2664132474532295,5.22688460180543,5.190907951016731,5.1583969086266315,5.129273441677334,5.103468111494266,5.080920287947854],[39.69108863301898,39.007489518387665,38.32757219929762,37.651441629737576,36.97921012627749,36.31099702150167,35.64692829579306,34.98713618860488,34.331758790419116,33.68093961665096,33.03482716481392,32.39357445631197,31.75733856427284,31.126280128878967,30.500562861692053,29.880353040500378,29.265818996247745,28.657130593627123,28.054458706941784,27.457974692851046,26.867849861627732,26.284254948558782,25.707359587119946,25.137331785550344,24.5743374084419,24.018539664943198,23.47009860515714,22.92917062628615,22.395907990048915,21.870458352857653,21.352964310205664,20.843562956670965,20.3423854628937,19.849556670832563,19.365194708549264,18.889410625709473,18.422308050925096,17.963982871995125,17.514522940031757,17.074007798384727,16.64250843720027,16.22008707437209,15.806796963560178,15.402682229869985,15.007777733698802,14.622108963169648,14.245691955484428,13.878533247439133,13.520629855253752,13.171969283779065,12.832529565052035,12.5022793260807,12.181177885649515,11.869175379846343,11.566212915923872,11.272222754020573,10.987128516180597,10.710845422027585,10.44328055036519,10.18433312589714,9.933894830182119,9.691850135863962,9.458076663145862,9.232445557408667,9.014821886808035,8.805065058623637,8.603029253075723,8.408563873270417,8.221514009885414,8.041720919162202,7.86902251272995,7.703253857749579,7.5442476858348355,7.3918349091799636,7.245845142301437,7.106107227783841,6.972449764407643,6.84470163602925,6.722692539581428,6.606253510564882,6.495217444409507,6.389419612096587,6.288698168450949,6.192894651534637,6.101854471601186,6.015427388101776,5.933467973271364,5.855836060864377,5.782397178655331,5.713022963369825,5.647591556765596,5.585987981641478,5.528104496614049,5.473840928567242,5.423104981749116,5.3758125225620335,5.331887839167466,5.291263875104425,5.253882436200611,5.219694370137872],[40.56008214821467,39.86547417211133,39.17468286133358,38.48782248121098,37.80501421476531,37.12638578878511,36.452071079708595,35.78220970053102,35.11694657001119,34.4564314655064,33.800818560815465,33.150265950456095,32.50493516184433,31.864990656881318,31.230599324485404,30.601929965635385,29.979152772513757,29.362438803357335,28.75195945463551,28.14788593218482,27.55038872293177,26.959637068833985,26.375798444662763,25.79903804123861,25.229518255714122,24.66739819047712,24.11283316222019,23.565974222691455,23.02696769260536,22.495954710151686,21.97307079549588,21.458445432614496,20.952201669756093,20.454455739760334,19.965316701406927,19.484886102901022,19.013257668533427,18.550517009482483,18.09674135965001,17.65199933734636,17.216350733559963,16.789846327464733,16.37252772973448,15.964427254147974,15.565567817880687,15.175962870790976,14.795616353918827,14.424522687325304,14.062666787310146,13.710024112954407,13.36656074184459,13.03223347474449,12.706989968891907,12.390768899508815,12.083500149026717,11.785105023443208,11.49549649514225,11.214579471428856,10.94225108794956,10.678401026093363,10.42291185339369,10.17565938588108,9.936513071268447,9.705336391786638,9.481987285427195,9.266318584292586,9.0581784687013,8.857410935646595,8.663856280163447,8.477351588118324,8.297731238901292,8.124827416469259,7.958470627163532,7.79849022270385,7.644714926745163,7.496973363372366,7.3550945859022905,7.218908604361228,7.088246910010408,6.962942995300956,6.842832867653909,6.727755555479983,6.617553604877689,6.512073565477197,6.4111664639307735,6.314688263588832,6.222500308943153,6.134469753465926,6.050469969524458,5.970380939106683,5.89408962415186,5.82149031534376,5.7524849582900695,5.686983456081585,5.624903947297568,5.566173058599486,5.510726131133678,5.458507420044409,5.409470266481637,5.363577241572781],[41.43508535215282,40.72964180125516,40.02816156022943,39.330767634715635,38.63758946858644,37.94876254453185,37.26442796601026,36.58473202185597,35.90982573488654,35.23986439590288,34.575007084519896,33.915416178306295,33.26125685174818,32.612696566582265,31.969904555071686,31.33305129781848,30.702307997724205,30.07784605172182,29.459836521908898,28.84844960771388,28.24385412072435,27.646216963797634,27.055702616060934,26.472472625390317,25.896685109934353,25.328494270220652,24.768049913350737,24.2154969907513,23.670975150908358,23.134618308464226,22.606554231007024,22.086904144827702,21.575782360861012,21.07329592196473,20.579544272625427,20.094618952110004,19.61860331200971,19.151572259048315,18.69359202394799,18.244719957066053,17.805004351433233,17.37448429373942,16.953189543726758,16.54114044236223,16.13834784907303,15.74481310823842,15.360528045041505,14.985474990693632,14.619626836953692,14.262947119773985,13.91539013181466,13.576901063479449,13.247416172037603,12.926862978310098,12.615160490313297,12.312219453169899,12.017942624516127,11.732225074555286,11.454954509831866,11.186011619727166,10.925270444607218,10.672598764487137,10.427858507012512,10.190906173499085,9.961593281715997,9.739766824046432,9.525269739611904,9.317941398903368,9.117618099423838,8.924133570813037,8.737319487895576,8.557005990069458,8.3830222054324,8.215196778028599,8.053358396589129,7.897336323134448,7.74696091980795,7.602064172314943,7.46248020835192,7.328045809426465,7.198600914488466,7.07398911381866,6.954058131650525,6.838660296036346,6.7276529945076184,6.620899114123789,6.5182674645515135,6.419633182868947,6.324878118846039,6.233891199511949,6.146568771884691,6.062814922805471,5.982541774890826,5.9056697576893615,5.8321278532064085,5.761853815038991,5.694794360444943,5.630905334753532,5.57015184761025,5.512508380635406],[42.31632085844724,41.60022990787671,40.88825995364392,40.180542126990055,39.477213485754945,38.77841659146784,38.08429906945588,37.39501315332751,36.71071521523653,36.031565283376096,35.35772654819156,34.68936485883578,34.026648211420735,33.369746230644225,32.71882964639161,32.07406976692718,31.435637950300926,30.80370507560167,30.178441015688175,29.56001411302494,28.948590660240367,28.34433438700992,27.74740595484753,27.157962461364274,26.576156955523928,26.002137965391043,25.436049039828962,24.878028305561656,24.32820804096633,23.786714267911837,23.2536663629023,22.729176688725893,22.213350247745275,21.706284357899584,21.208068352417655,20.718783304169122,20.238501775503835,19.767287594351593,19.30519565727301,18.8522717600693,18.40855245647351,17.97406494535943,17.548826986815975,17.132846847346247,16.726123274360162,16.328645500039514,15.940393274563382,15.561336928591547,15.191437464812969,14.830646678276889,14.4789073051353,14.136153199337745,13.802309536733311,13.477293045949954,13.16101226533883,12.853367825190716,12.554252754353787,12.263552810306575,11.981146831667658,11.706907112054388,11.440699794137,11.182385282672298,10.931818675242337,10.68885020936912,10.453325724625573,10.225087138316978,10.003972933265047,9.789818656189517,9.582457425149485,9.381720444478647,9.187437525625604,8.99943761229208,8.817549308248683,8.64160140619957,8.471423416064127,8.30684609104559,8.147701949863384,7.99382579353769,7.845055215131724,7.701231100878811,7.562198121147951,7.427805209732971,7.297906029986338,7.172359426359325,7.051029859955243,6.933787826751782,6.820510257201995,6.711080895980884,6.6053906607058614,6.503337978524185,6.404829099528788,6.309778386035436,6.218108576828589,6.129751025560619,6.044645912568764,5.962742429456236,5.883998935867929,5.808383087976983,5.73587193828574,5.6664520064331345],[43.204030104332546,42.47749387726657,41.75524658690016,41.03742683475944,40.324178607717556,39.61565083370499,38.91199692217374,38.21337429073305,37.51994387941762,36.83186965408678,36.14931810048722,35.4724577105402,34.80145846243854,34.13649129615747,33.477727585997776,32.82533861178884,32.17949503038308,31.540366349072848,30.908120402554186,30.28292283505181,29.664936589202945,29.054321403277303,28.45123331828454,27.85582419649001,27.26824125282465,26.688626600634755,26.11711681317334,25.55384250218615,24.99892791489267,24.452490550605667,23.914640798172265,23.385481595355245,22.865108111205604,22.35360745240645,21.851058394494363,21.357531138787564,20.87308709577089,20.39777869560599,19.931649226351468,19.474732700392146,19.027053749489525,18.58862754877741,18.15945976993711,17.73954656369676,17.328874571708713,16.927420967768438,16.53515352824762,16.152030731524228,15.778001886102757,15.413007287029147,15.056978400118014,14.709838073423466,14.371500775301183,14.041872858327057,13.72085284825815,13.408331757144232,13.104193419623837,12.808314851367133,12.52056662855956,12.240813287255328,11.968913741368473,11.704721718011768,11.448086208840138,11.198851936005944,10.956859831288341,10.721947526918315,10.493949856584905,10.27269936507665,10.058026824985754,9.849761758880579,9.647732965335228,9.45176904719313,9.261698940434558,9.07735244201621,8.898560735054154,8.725156909729593,8.556976478310137,8.39385788269744,8.23564299293504,8.082177595138305,7.933311867340774,7.788900841788727,7.648804852257448,7.5128899650089656,7.381028392061472,7.253098885495252,7.128987111578404,7.0085860035579834,6.89179609202796,6.778525811854605,6.668691784712239,6.562219076357575,6.4590414278487565,6.359101459995679,6.262350850410709,6.168750482613499,6.078270566729812,5.990890731411945,5.906600086697074,5.825397257609615],[44.09847214410396,43.36170570168411,42.629405550955276,41.901717071080256,41.17879045840443,40.460780263006,39.74784491181231,39.04014621975348,38.337848890462226,37.64112000805987,36.950128521597335,36.26504472374155,35.58603972531594,34.913284927316425,34.24695149203208,33.587209814902295,32.93422899874017,32.28817633194451,31.649216772310382,31.01751243803103,30.39322210746178,29.77650072918943,29.167498943918847,28.566362619652068,27.973232401594263,27.388243278175153,26.81152416452528,26.24319750469207,25.683378893823324,25.132176721483802,24.589691837205603,24.05601723930419,23.531237787920375,23.015429943173686,22.508661529234992,22.010991525046528,21.522469882334903,21.043137371478757,20.57302545570662,20.112156194013185,19.66054217309345,19.21818646850494,18.785082635177623,18.36121472730106,17.946557347527143,17.54107572533686,17.144725824329093,16.757454478100474,16.37919955429705,16.009890146331458,15.64944679217416,15.297781719543531,14.954799116738304,14.620395428276634,14.294459674429607,13.976873793663154,13.667513006931799,13.366246202700136,13.072936341503976,12.787440878802897,12.509612204819367,12.239298100007328,11.976342204744773,11.720584501801074,11.471861810090294,11.230008288187001,10.994855946050881,10.76623516338117,10.543975213001467,10.32790478765995,10.117852528619487,9.913647554406603,9.715119988087816,9.522101481446295,9.334425734441522,9.151929008348997,8.974450630996724,8.80183349253943,8.63392453024079,8.470575200767795,8.311641938539918,8.156986598718788,8.006476883471526,7.85998675019235,7.717396800422927,7.578594648271369,7.443475267193051,7.311941314063251,7.18390342954163,7.059280513801737,6.937999976774739,6.819997962135222,6.705219544337937,6.593618898097484,6.48515943978801,6.379813940326591,6.277564609191999,6.1784031493196,6.08233078270299,5.9893582466233815]],"colorbar":{"len":480,"lenmode":"pixels","y":0.0,"yanchor":"bottom"},"colorscale":"Viridis"},{"type":"scatter","name":"Global Minima","mode":"markers","x":[-0.54719],"y":[-1.54719],"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: mccormick"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}