{"data":[{"type":"contour","x":[-1.0,-0.9797979797979798,-0.9595959595959596,-0.9393939393939394,-0.9191919191919192,-0.898989898989899,-0.8787878787878788,-0.8585858585858586,-0.8383838383838383,-0.8181818181818181,-0.797979797979798,-0.7777777777777778,-0.7575757575757576,-0.7373737373737373,-0.7171717171717171,-0.696969696969697,-0.6767676767676767,-0.6565656565656566,-0.6363636363636364,-0.6161616161616161,-0.595959595959596,-0.5757575757575757,-0.5555555555555556,-0.5353535353535354,-0.5151515151515151,-0.4949494949494949,-0.4747474747474747,-0.4545454545454546,-0.43434343434343436,-0.41414141414141414,-0.3939393939393939,-0.3737373737373737,-0.3535353535353535,-0.33333333333333337,-0.31313131313131315,-0.29292929292929293,-0.2727272727272727,-0.2525252525252525,-0.23232323232323238,-0.21212121212121215,-0.19191919191919193,-0.1717171717171717,-0.1515151515151515,-0.13131313131313127,-0.11111111111111116,-0.09090909090909094,-0.07070707070707072,-0.0505050505050505,-0.030303030303030276,-0.010101010101010055,0.010101010101010166,0.030303030303030276,0.05050505050505061,0.07070707070707072,0.09090909090909083,0.11111111111111116,0.13131313131313127,0.1515151515151516,0.1717171717171717,0.19191919191919182,0.21212121212121215,0.23232323232323226,0.2525252525252526,0.2727272727272727,0.29292929292929304,0.31313131313131315,0.33333333333333326,0.3535353535353536,0.3737373737373737,0.39393939393939403,0.41414141414141414,0.43434343434343425,0.4545454545454546,0.4747474747474747,0.49494949494949503,0.5151515151515151,0.5353535353535352,0.5555555555555556,0.5757575757575757,0.595959595959596,0.6161616161616161,0.6363636363636365,0.6565656565656566,0.6767676767676767,0.696969696969697,0.7171717171717171,0.7373737373737375,0.7575757575757576,0.7777777777777777,0.797979797979798,0.8181818181818181,0.8383838383838385,0.8585858585858586,0.8787878787878789,0.898989898989899,0.9191919191919191,0.9393939393939394,0.9595959595959596,0.9797979797979799,1.0],"y":[-1.0,-0.9797979797979798,-0.9595959595959596,-0.9393939393939394,-0.9191919191919192,-0.898989898989899,-0.8787878787878788,-0.8585858585858586,-0.8383838383838383,-0.8181818181818181,-0.797979797979798,-0.7777777777777778,-0.7575757575757576,-0.7373737373737373,-0.7171717171717171,-0.696969696969697,-0.6767676767676767,-0.6565656565656566,-0.6363636363636364,-0.6161616161616161,-0.595959595959596,-0.5757575757575757,-0.5555555555555556,-0.5353535353535354,-0.5151515151515151,-0.4949494949494949,-0.4747474747474747,-0.4545454545454546,-0.43434343434343436,-0.41414141414141414,-0.3939393939393939,-0.3737373737373737,-0.3535353535353535,-0.33333333333333337,-0.31313131313131315,-0.29292929292929293,-0.2727272727272727,-0.2525252525252525,-0.23232323232323238,-0.21212121212121215,-0.19191919191919193,-0.1717171717171717,-0.1515151515151515,-0.13131313131313127,-0.11111111111111116,-0.09090909090909094,-0.07070707070707072,-0.0505050505050505,-0.030303030303030276,-0.010101010101010055,0.010101010101010166,0.030303030303030276,0.05050505050505061,0.07070707070707072,0.09090909090909083,0.11111111111111116,0.13131313131313127,0.1515151515151516,0.1717171717171717,0.19191919191919182,0.21212121212121215,0.23232323232323226,0.2525252525252526,0.2727272727272727,0.29292929292929304,0.31313131313131315,0.33333333333333326,0.3535353535353536,0.3737373737373737,0.39393939393939403,0.41414141414141414,0.43434343434343425,0.4545454545454546,0.4747474747474747,0.49494949494949503,0.5151515151515151,0.5353535353535352,0.5555555555555556,0.5757575757575757,0.595959595959596,0.6161616161616161,0.6363636363636365,0.6565656565656566,0.6767676767676767,0.696969696969697,0.7171717171717171,0.7373737373737375,0.7575757575757576,0.7777777777777777,0.797979797979798,0.8181818181818181,0.8383838383838385,0.8585858585858586,0.8787878787878789,0.898989898989899,0.9191919191919191,0.9393939393939394,0.9595959595959596,0.9797979797979799,1.0],"z":[[2.0,1.9600040812162023,1.9208244056728905,1.8824609733700643,1.8449137843077237,1.8081828384858687,1.7722681359044996,1.737169676563616,1.7028874604632178,1.6694214876033056,1.6367717579838792,1.6049382716049383,1.5739210284664829,1.5437200285685133,1.5143352719110295,1.4857667584940313,1.4580144883175186,1.4310784613814918,1.4049586776859504,1.3796551372308947,1.355167840016325,1.3314967860422406,1.308641975308642,1.286603407815529,1.2653810835629018,1.2449750025507602,1.225385164779104,1.2066115702479339,1.1886542189572493,1.1715131109070502,1.155188246097337,1.1396796245281093,1.1249872461993673,1.1111111111111112,1.0980512192633405,1.0858075706560555,1.0743801652892562,1.0637690031629425,1.0539740842771146,1.0449954086317723,1.0368329762269157,1.0294867870625446,1.0229568411386594,1.0172431384552596,1.0123456790123457,1.0082644628099173,1.0049994898479746,1.0025507601265178,1.0009182736455464,1.0001020304050607,1.0001020304050607,1.0009182736455464,1.0025507601265178,1.0049994898479746,1.0082644628099173,1.0123456790123457,1.0172431384552596,1.0229568411386594,1.0294867870625446,1.0368329762269155,1.0449954086317723,1.0539740842771146,1.0637690031629425,1.0743801652892562,1.0858075706560555,1.0980512192633405,1.1111111111111112,1.1249872461993675,1.1396796245281093,1.155188246097337,1.1715131109070502,1.188654218957249,1.2066115702479339,1.225385164779104,1.2449750025507602,1.2653810835629018,1.2866034078155288,1.308641975308642,1.3314967860422406,1.355167840016325,1.3796551372308947,1.4049586776859506,1.4310784613814918,1.4580144883175186,1.4857667584940313,1.5143352719110295,1.5437200285685135,1.5739210284664829,1.604938271604938,1.6367717579838792,1.6694214876033056,1.7028874604632183,1.737169676563616,1.7722681359044996,1.8081828384858687,1.8449137843077237,1.8824609733700643,1.9208244056728905,1.9600040812162027,2.0],[1.9406100593734508,1.9006141405896533,1.8614344650463412,1.8230710327435151,1.7855238436811747,1.7487928978593197,1.7128781952779502,1.6777797359370665,1.6434975198366688,1.6100315469767565,1.57738181735733,1.545548330978389,1.5145310878399338,1.4843300879419643,1.4549453312844802,1.426376817867482,1.3986245476909693,1.3716885207549425,1.3455687370594012,1.3202651966043455,1.2957778993897757,1.2721068454156912,1.2492520346820928,1.2272134671889798,1.2059911429363526,1.1855850619242108,1.1659952241525549,1.1472216296213846,1.1292642783307,1.112123170280501,1.0957983054707878,1.08028968390156,1.065597305572818,1.051721170484562,1.0386612786367913,1.0264176300295063,1.014990224662707,1.0043790625363933,0.9945841436505654,0.9856054680052231,0.9774430356003664,0.9700968464359954,0.9635669005121101,0.9578531978287104,0.9529557383857965,0.9488745221833681,0.9456095492214255,0.9431608194999684,0.9415283330189972,0.9407120897785115,0.9407120897785115,0.9415283330189972,0.9431608194999684,0.9456095492214255,0.9488745221833681,0.9529557383857965,0.9578531978287104,0.9635669005121101,0.9700968464359954,0.9774430356003664,0.9856054680052231,0.9945841436505654,1.0043790625363933,1.014990224662707,1.0264176300295063,1.0386612786367913,1.051721170484562,1.0655973055728183,1.08028968390156,1.0957983054707878,1.112123170280501,1.1292642783306999,1.1472216296213846,1.1659952241525549,1.185585061924211,1.2059911429363526,1.2272134671889796,1.2492520346820928,1.2721068454156912,1.2957778993897757,1.3202651966043455,1.3455687370594014,1.3716885207549425,1.3986245476909693,1.426376817867482,1.4549453312844802,1.4843300879419643,1.5145310878399338,1.5455483309783888,1.57738181735733,1.6100315469767565,1.6434975198366688,1.6777797359370665,1.7128781952779506,1.7487928978593197,1.7855238436811742,1.8230710327435151,1.8614344650463412,1.9006141405896533,1.9406100593734508],[1.8836193791810565,1.843623460397259,1.804443784853947,1.7660803525511208,1.7285331634887804,1.6918022176669254,1.6558875150855559,1.6207890557446722,1.5865068396442745,1.5530408667843623,1.5203911371649357,1.4885576507859948,1.4575404076475396,1.42733940774957,1.397954651092086,1.3693861376750878,1.341633867498575,1.3146978405625482,1.2885780568670069,1.2632745164119512,1.2387872191973814,1.215116165223297,1.1922613544896985,1.1702227869965856,1.1490004627439583,1.1285943817318165,1.1090045439601606,1.0902309494289903,1.0722735981383058,1.0551324900881067,1.0388076252783935,1.0232990037091658,1.0086066253804238,0.9947304902921676,0.981670598444397,0.969426949837112,0.9579995444703127,0.947388382343999,0.9375934634581711,0.9286147878128288,0.9204523554079721,0.9131061662436011,0.9065762203197159,0.9008625176363161,0.8959650581934022,0.8918838419909738,0.8886188690290312,0.8861701393075742,0.8845376528266029,0.8837214095861172,0.8837214095861172,0.8845376528266029,0.8861701393075742,0.8886188690290312,0.8918838419909738,0.8959650581934022,0.9008625176363161,0.9065762203197159,0.9131061662436011,0.9204523554079721,0.9286147878128288,0.9375934634581711,0.947388382343999,0.9579995444703127,0.9694269498371121,0.981670598444397,0.9947304902921675,1.008606625380424,1.0232990037091658,1.0388076252783935,1.0551324900881067,1.0722735981383056,1.0902309494289903,1.1090045439601606,1.1285943817318167,1.1490004627439583,1.1702227869965853,1.1922613544896985,1.215116165223297,1.2387872191973814,1.2632745164119512,1.288578056867007,1.3146978405625482,1.341633867498575,1.3693861376750878,1.397954651092086,1.42733940774957,1.4575404076475396,1.4885576507859946,1.5203911371649357,1.5530408667843623,1.5865068396442745,1.6207890557446722,1.6558875150855563,1.6918022176669254,1.72853316348878,1.7660803525511208,1.804443784853947,1.843623460397259,1.8836193791810565],[1.828978490135515,1.7889825713517173,1.7498028958084055,1.7114394635055794,1.6738922744432387,1.6371613286213837,1.6012466260400147,1.566148166699131,1.5318659505987329,1.4983999777388206,1.4657502481193943,1.4339167617404533,1.402899518601998,1.3726985187040284,1.3433137620465445,1.3147452486295463,1.2869929784530336,1.2600569515170068,1.2339371678214655,1.2086336273664098,1.18414633015184,1.1604752761777557,1.137620465444157,1.1155818979510441,1.0943595736984169,1.0739534926862753,1.0543636549146191,1.035590060383449,1.0176327090927644,1.0004916010425653,0.9841667362328521,0.9686581146636244,0.9539657363348825,0.9400896012466262,0.9270297093988555,0.9147860607915705,0.9033586554247712,0.8927474932984576,0.8829525744126296,0.8739738987672874,0.8658114663624307,0.8584652771980597,0.8519353312741744,0.8462216285907747,0.8413241691478608,0.8372429529454324,0.8339779799834898,0.8315292502620327,0.8298967637810615,0.8290805205405758,0.8290805205405758,0.8298967637810615,0.8315292502620327,0.8339779799834898,0.8372429529454324,0.8413241691478608,0.8462216285907747,0.8519353312741744,0.8584652771980597,0.8658114663624307,0.8739738987672874,0.8829525744126296,0.8927474932984576,0.9033586554247712,0.9147860607915707,0.9270297093988555,0.9400896012466261,0.9539657363348825,0.9686581146636244,0.9841667362328521,1.0004916010425653,1.0176327090927642,1.035590060383449,1.0543636549146191,1.0739534926862753,1.0943595736984169,1.115581897951044,1.137620465444157,1.1604752761777557,1.18414633015184,1.2086336273664098,1.2339371678214657,1.2600569515170068,1.2869929784530336,1.3147452486295463,1.3433137620465445,1.3726985187040286,1.402899518601998,1.4339167617404531,1.4657502481193943,1.4983999777388206,1.5318659505987333,1.566148166699131,1.6012466260400147,1.6371613286213837,1.6738922744432387,1.7114394635055794,1.7498028958084055,1.7889825713517178,1.828978490135515],[1.776637922949524,1.7366420041657262,1.6974623286224144,1.6590988963195883,1.6215517072572476,1.5848207614353926,1.5489060588540235,1.51380759951314,1.4795253834127418,1.4460594105528295,1.4134096809334031,1.3815761945544622,1.3505589514160068,1.3203579515180373,1.2909731948605534,1.2624046814435552,1.2346524112670425,1.2077163843310157,1.1815966006354743,1.1562930601804187,1.131805762965849,1.1081347089917646,1.085279898258166,1.063241330765053,1.0420190065124257,1.0216129255002842,1.002023087728628,0.9832494931974578,0.9652921419067733,0.9481510338565742,0.931826169046861,0.9163175474776333,0.9016251691488913,0.8877490340606351,0.8746891422128644,0.8624454936055794,0.8510180882387801,0.8404069261124665,0.8306120072266385,0.8216333315812963,0.8134708991764396,0.8061247100120685,0.7995947640881833,0.7938810614047835,0.7889836019618697,0.7849023857594413,0.7816374127974987,0.7791886830760416,0.7775561965950704,0.7767399533545847,0.7767399533545847,0.7775561965950704,0.7791886830760416,0.7816374127974987,0.7849023857594413,0.7889836019618697,0.7938810614047835,0.7995947640881833,0.8061247100120685,0.8134708991764396,0.8216333315812963,0.8306120072266385,0.8404069261124665,0.8510180882387801,0.8624454936055795,0.8746891422128644,0.887749034060635,0.9016251691488913,0.9163175474776333,0.931826169046861,0.9481510338565742,0.9652921419067731,0.9832494931974578,1.002023087728628,1.0216129255002842,1.0420190065124257,1.0632413307650528,1.085279898258166,1.1081347089917646,1.131805762965849,1.1562930601804187,1.1815966006354746,1.2077163843310157,1.2346524112670425,1.2624046814435552,1.2909731948605534,1.3203579515180375,1.3505589514160068,1.381576194554462,1.4134096809334031,1.4460594105528295,1.4795253834127422,1.51380759951314,1.5489060588540235,1.5848207614353926,1.6215517072572476,1.6590988963195883,1.6974623286224144,1.7366420041657267,1.776637922949524],[1.726548208335781,1.6865522895519836,1.6473726140086715,1.6090091817058454,1.571461992643505,1.53473104682165,1.4988163442402804,1.4637178848993968,1.429435668798999,1.3959696959390868,1.3633199663196602,1.3314864799407193,1.3004692368022641,1.2702682369042946,1.2408834802468105,1.2123149668298123,1.1845626966532996,1.1576266697172728,1.1315068860217314,1.1062033455666758,1.081716048352106,1.0580449943780215,1.035190183644423,1.01315161615131,0.9919292918986828,0.9715232108865411,0.9519333731148851,0.9331597785837149,0.9152024272930304,0.8980613192428313,0.8817364544331181,0.8662278328638904,0.8515354545351485,0.8376593194468922,0.8245994275991215,0.8123557789918365,0.8009283736250372,0.7903172114987236,0.7805222926128956,0.7715436169675534,0.7633811845626967,0.7560349953983256,0.7495050494744404,0.7437913467910406,0.7388938873481268,0.7348126711456984,0.7315476981837558,0.7290989684622987,0.7274664819813275,0.7266502387408418,0.7266502387408418,0.7274664819813275,0.7290989684622987,0.7315476981837558,0.7348126711456984,0.7388938873481268,0.7437913467910406,0.7495050494744404,0.7560349953983256,0.7633811845626967,0.7715436169675534,0.7805222926128956,0.7903172114987236,0.8009283736250372,0.8123557789918366,0.8245994275991215,0.8376593194468921,0.8515354545351485,0.8662278328638904,0.8817364544331181,0.8980613192428313,0.9152024272930303,0.9331597785837149,0.9519333731148851,0.9715232108865413,0.9919292918986828,1.0131516161513099,1.035190183644423,1.0580449943780215,1.081716048352106,1.1062033455666758,1.1315068860217317,1.1576266697172728,1.1845626966532996,1.2123149668298123,1.2408834802468105,1.2702682369042946,1.3004692368022641,1.3314864799407191,1.3633199663196602,1.3959696959390868,1.429435668798999,1.4637178848993968,1.4988163442402809,1.53473104682165,1.5714619926435045,1.6090091817058454,1.6473726140086715,1.6865522895519836,1.726548208335781],[1.6786598770069845,1.6386639582231868,1.599484282679875,1.5611208503770488,1.5235736613147082,1.4868427154928532,1.450928012911484,1.4158295535706005,1.3815473374702023,1.34808136461029,1.3154316349908637,1.2835981486119228,1.2525809054734673,1.2223799055754978,1.192995148918014,1.1644266355010158,1.136674365324503,1.1097383383884762,1.0836185546929349,1.0583150142378792,1.0338277170233094,1.0101566630492251,0.9873018523156265,0.9652632848225136,0.9440409605698863,0.9236348795577446,0.9040450417860886,0.8852714472549184,0.8673140959642338,0.8501729879140347,0.8338481231043215,0.8183395015350938,0.8036471232063519,0.7897709881180957,0.776711096270325,0.76446744766304,0.7530400422962407,0.742428880169927,0.7326339612840991,0.7236552856387568,0.7154928532339001,0.7081466640695291,0.7016167181456439,0.6959030154622441,0.6910055560193302,0.6869243398169018,0.6836593668549592,0.6812106371335022,0.6795781506525309,0.6787619074120452,0.6787619074120452,0.6795781506525309,0.6812106371335022,0.6836593668549592,0.6869243398169018,0.6910055560193302,0.6959030154622441,0.7016167181456439,0.7081466640695291,0.7154928532339001,0.7236552856387568,0.7326339612840991,0.742428880169927,0.7530400422962407,0.7644674476630401,0.776711096270325,0.7897709881180955,0.8036471232063519,0.8183395015350938,0.8338481231043215,0.8501729879140347,0.8673140959642337,0.8852714472549184,0.9040450417860886,0.9236348795577447,0.9440409605698863,0.9652632848225133,0.9873018523156265,1.0101566630492251,1.0338277170233094,1.0583150142378792,1.083618554692935,1.1097383383884762,1.136674365324503,1.1644266355010158,1.192995148918014,1.222379905575498,1.2525809054734673,1.2835981486119226,1.3154316349908637,1.34808136461029,1.3815473374702028,1.4158295535706005,1.450928012911484,1.4868427154928532,1.5235736613147082,1.5611208503770488,1.599484282679875,1.6386639582231872,1.6786598770069845],[1.632923459675832,1.5929275408920343,1.5537478653487224,1.515384433045896,1.4778372439835556,1.4411062981617007,1.4051915955803314,1.3700931362394477,1.3358109201390498,1.3023449472791375,1.2696952176597112,1.2378617312807703,1.2068444881423148,1.1766434882443453,1.1472587315868612,1.118690218169863,1.0909379479933503,1.0640019210573235,1.0378821373617821,1.0125785969067267,0.9880912996921568,0.9644202457180724,0.9415654349844739,0.9195268674913608,0.8983045432387335,0.877898462226592,0.8583086244549359,0.8395350299237658,0.8215776786330812,0.8044365705828822,0.7881117057731688,0.7726030842039412,0.7579107058751993,0.744034570786943,0.7309746789391723,0.7187310303318873,0.707303624965088,0.6966924628387744,0.6868975439529464,0.6779188683076042,0.6697564359027475,0.6624102467383765,0.6558803008144911,0.6501665981310916,0.6452691386881776,0.6411879224857492,0.6379229495238066,0.6354742198023495,0.6338417333213783,0.6330254900808926,0.6330254900808926,0.6338417333213783,0.6354742198023495,0.6379229495238066,0.6411879224857492,0.6452691386881776,0.6501665981310916,0.6558803008144912,0.6624102467383765,0.6697564359027475,0.6779188683076042,0.6868975439529464,0.6966924628387745,0.707303624965088,0.7187310303318875,0.7309746789391723,0.7440345707869429,0.7579107058751993,0.7726030842039412,0.7881117057731689,0.8044365705828822,0.8215776786330811,0.8395350299237658,0.8583086244549359,0.8778984622265921,0.8983045432387335,0.9195268674913608,0.9415654349844739,0.9644202457180724,0.9880912996921568,1.0125785969067267,1.0378821373617824,1.0640019210573235,1.0909379479933503,1.118690218169863,1.1472587315868612,1.1766434882443453,1.2068444881423148,1.2378617312807698,1.2696952176597112,1.3023449472791375,1.33581092013905,1.3700931362394477,1.4051915955803316,1.4411062981617007,1.4778372439835554,1.515384433045896,1.5537478653487224,1.5929275408920345,1.632923459675832],[1.5892894870550212,1.5492935682712234,1.5101138927279116,1.4717504604250853,1.4342032713627448,1.3974723255408898,1.3615576229595205,1.326459163618637,1.292176947518239,1.2587109746583267,1.2260612450389003,1.1942277586599594,1.163210515521504,1.1330095156235345,1.1036247589660504,1.0750562455490522,1.0473039753725395,1.0203679484365127,0.9942481647409714,0.9689446242859159,0.944457327071346,0.9207862730972616,0.8979314623636631,0.87589289487055,0.8546705706179227,0.8342644896057811,0.8146746518341251,0.795901057302955,0.7779437060122704,0.7608025979620714,0.744477733152358,0.7289691115831304,0.7142767332543885,0.7004005981661322,0.6873407063183615,0.6750970577110765,0.6636696523442772,0.6530584902179636,0.6432635713321356,0.6342848956867934,0.6261224632819367,0.6187762741175656,0.6122463281936803,0.6065326255102808,0.6016351660673668,0.5975539498649384,0.5942889769029958,0.5918402471815387,0.5902077607005675,0.5893915174600818,0.5893915174600818,0.5902077607005675,0.5918402471815387,0.5942889769029958,0.5975539498649384,0.6016351660673668,0.6065326255102808,0.6122463281936804,0.6187762741175656,0.6261224632819367,0.6342848956867934,0.6432635713321356,0.6530584902179637,0.6636696523442772,0.6750970577110766,0.6873407063183615,0.7004005981661321,0.7142767332543885,0.7289691115831304,0.7444777331523581,0.7608025979620714,0.7779437060122703,0.795901057302955,0.8146746518341251,0.8342644896057813,0.8546705706179227,0.87589289487055,0.8979314623636631,0.9207862730972616,0.944457327071346,0.9689446242859159,0.9942481647409716,1.0203679484365127,1.0473039753725395,1.0750562455490522,1.1036247589660504,1.1330095156235345,1.163210515521504,1.194227758659959,1.2260612450389003,1.2587109746583267,1.2921769475182392,1.326459163618637,1.3615576229595208,1.3974723255408898,1.4342032713627446,1.4717504604250853,1.5101138927279116,1.5492935682712237,1.5892894870550212],[1.54770848985725,1.5077125710734525,1.4685328955301404,1.4301694632273145,1.3926222741649739,1.3558913283431189,1.3199766257617496,1.284878166420866,1.250595950320468,1.2171299774605557,1.1844802478411292,1.1526467614621883,1.121629518323733,1.0914285184257635,1.0620437617682796,1.0334752483512815,1.0057229781747685,0.9787869512387417,0.9526671675432005,0.9273636270881449,0.902876329873575,0.8792052758994906,0.8563504651658921,0.834311897672779,0.8130895734201518,0.7926834924080102,0.7730936546363542,0.754320060105184,0.7363627088144994,0.7192216007643004,0.702896735954587,0.6873881143853594,0.6726957360566175,0.6588196009683612,0.6457597091205906,0.6335160605133056,0.6220886551465062,0.6114774930201926,0.6016825741343647,0.5927038984890224,0.5845414660841657,0.5771952769197947,0.5706653309959093,0.5649516283125098,0.5600541688695958,0.5559729526671674,0.5527079797052248,0.5502592499837677,0.5486267635027965,0.5478105202623108,0.5478105202623108,0.5486267635027965,0.5502592499837677,0.5527079797052248,0.5559729526671674,0.5600541688695958,0.5649516283125098,0.5706653309959094,0.5771952769197947,0.5845414660841657,0.5927038984890224,0.6016825741343647,0.6114774930201927,0.6220886551465062,0.6335160605133057,0.6457597091205906,0.6588196009683611,0.6726957360566175,0.6873881143853594,0.7028967359545871,0.7192216007643004,0.7363627088144993,0.754320060105184,0.7730936546363542,0.7926834924080103,0.8130895734201518,0.834311897672779,0.8563504651658921,0.8792052758994906,0.902876329873575,0.9273636270881449,0.9526671675432006,0.9787869512387417,1.0057229781747685,1.0334752483512815,1.0620437617682796,1.0914285184257637,1.121629518323733,1.1526467614621883,1.1844802478411292,1.2171299774605557,1.2505959503204682,1.284878166420866,1.3199766257617498,1.3558913283431189,1.3926222741649736,1.4301694632273145,1.4685328955301404,1.5077125710734527,1.54770848985725],[1.5081309987952167,1.4681350800114192,1.4289554044681072,1.3905919721652813,1.3530447831029406,1.3163138372810856,1.2803991346997163,1.2453006753588327,1.2110184592584348,1.1775524863985225,1.144902756779096,1.113069270400155,1.0820520272616998,1.0518510273637303,1.0224662707062464,0.9938977572892481,0.9661454871127353,0.9392094601767085,0.9130896764811672,0.8877861360261117,0.8632988388115418,0.8396277848374574,0.8167729741038589,0.7947344066107458,0.7735120823581185,0.7531060013459769,0.7335161635743209,0.7147425690431508,0.6967852177524662,0.6796441097022672,0.6633192448925538,0.6478106233233262,0.6331182449945842,0.619242109906328,0.6061822180585573,0.5939385694512723,0.582511164084473,0.5719000019581594,0.5621050830723314,0.5531264074269892,0.5449639750221325,0.5376177858577614,0.5310878399338761,0.5253741372504765,0.5204766778075626,0.5163954616051342,0.5131304886431916,0.5106817589217345,0.5090492724407633,0.5082330292002776,0.5082330292002776,0.5090492724407633,0.5106817589217345,0.5131304886431916,0.5163954616051342,0.5204766778075626,0.5253741372504765,0.5310878399338762,0.5376177858577614,0.5449639750221325,0.5531264074269892,0.5621050830723314,0.5719000019581595,0.582511164084473,0.5939385694512724,0.6061822180585573,0.6192421099063279,0.6331182449945842,0.6478106233233262,0.6633192448925539,0.6796441097022672,0.696785217752466,0.7147425690431508,0.7335161635743209,0.753106001345977,0.7735120823581185,0.7947344066107458,0.8167729741038589,0.8396277848374574,0.8632988388115418,0.8877861360261117,0.9130896764811673,0.9392094601767085,0.9661454871127353,0.9938977572892481,1.0224662707062464,1.0518510273637305,1.0820520272616998,1.113069270400155,1.144902756779096,1.1775524863985225,1.211018459258435,1.2453006753588327,1.2803991346997166,1.3163138372810856,1.3530447831029404,1.3905919721652813,1.4289554044681072,1.4681350800114195,1.5081309987952167],[1.4705075445816187,1.4305116257978212,1.3913319502545092,1.352968517951683,1.3154213288893426,1.2786903830674876,1.242775680486118,1.2076772211452345,1.1733950050448367,1.1399290321849245,1.107279302565498,1.075445816186557,1.0444285730481018,1.0142275731501322,0.9848428164926482,0.95627430307565,0.9285220328991373,0.9015860059631104,0.8754662222675691,0.8501626818125134,0.8256753845979437,0.8020043306238592,0.7791495198902607,0.7571109523971478,0.7358886281445205,0.7154825471323788,0.6958927093607228,0.6771191148295526,0.659161763538868,0.6420206554886689,0.6256957906789558,0.610187169109728,0.5954947907809861,0.5816186556927299,0.5685587638449592,0.5563151152376742,0.5448877098708749,0.5342765477445612,0.5244816288587333,0.515502953213391,0.5073405208085343,0.49999433164416335,0.493464385720278,0.48775068303687835,0.4828532235939644,0.4787720073915361,0.4755070344295934,0.4730583047081364,0.47142581822716506,0.4706095749866794,0.4706095749866794,0.47142581822716506,0.4730583047081364,0.4755070344295934,0.478772007391536,0.4828532235939644,0.48775068303687835,0.49346438572027806,0.49999433164416335,0.5073405208085343,0.515502953213391,0.5244816288587333,0.5342765477445612,0.5448877098708749,0.5563151152376743,0.5685587638449592,0.5816186556927297,0.5954947907809861,0.610187169109728,0.6256957906789558,0.6420206554886689,0.6591617635388679,0.6771191148295526,0.6958927093607228,0.7154825471323789,0.7358886281445205,0.7571109523971475,0.7791495198902607,0.8020043306238592,0.8256753845979437,0.8501626818125134,0.8754662222675693,0.9015860059631104,0.9285220328991373,0.95627430307565,0.9848428164926482,1.0142275731501322,1.0444285730481018,1.0754458161865568,1.107279302565498,1.1399290321849245,1.1733950050448367,1.2076772211452345,1.2427756804861185,1.2786903830674876,1.3154213288893422,1.352968517951683,1.3913319502545092,1.4305116257978212,1.4705075445816187],[1.4347886579291538,1.3947927391453563,1.3556130636020443,1.3172496312992181,1.2797024422368777,1.2429714964150227,1.2070567938336532,1.1719583344927695,1.1376761183923718,1.1042101455324596,1.071560415913033,1.039726929534092,1.0087096863956369,0.9785086864976672,0.9491239298401832,0.9205554164231851,0.8928031462466723,0.8658671193106455,0.8397473356151042,0.8144437951600485,0.7899564979454787,0.7662854439713943,0.7434306332377958,0.7213920657446828,0.7001697414920556,0.6797636604799139,0.6601738227082579,0.6414002281770876,0.6234428768864031,0.606301768836204,0.5899769040264908,0.5744682824572631,0.5597759041285212,0.5458997690402649,0.5328398771924943,0.5205962285852093,0.50916882321841,0.4985576610920963,0.48876274220626836,0.47978406656092604,0.4716216341560694,0.4642754449916984,0.4577454990678131,0.45203179638441343,0.44713433694149946,0.44305312073907116,0.4397881477771285,0.4373394180556715,0.43570693157470014,0.43489068833421446,0.43489068833421446,0.43570693157470014,0.4373394180556715,0.4397881477771285,0.4430531207390711,0.44713433694149946,0.45203179638441343,0.45774549906781314,0.4642754449916984,0.4716216341560694,0.47978406656092604,0.4887627422062683,0.49855766109209637,0.50916882321841,0.5205962285852094,0.5328398771924943,0.5458997690402648,0.5597759041285212,0.5744682824572631,0.5899769040264908,0.606301768836204,0.623442876886403,0.6414002281770876,0.6601738227082579,0.679763660479914,0.7001697414920556,0.7213920657446826,0.7434306332377958,0.7662854439713943,0.7899564979454787,0.8144437951600485,0.8397473356151044,0.8658671193106455,0.8928031462466723,0.9205554164231851,0.9491239298401832,0.9785086864976673,1.0087096863956369,1.0397269295340918,1.071560415913033,1.1042101455324596,1.1376761183923718,1.1719583344927695,1.2070567938336536,1.2429714964150227,1.2797024422368772,1.3172496312992181,1.3556130636020443,1.3947927391453563,1.4347886579291538],[1.4009248695505199,1.3609289507667224,1.3217492752234103,1.2833858429205844,1.2458386538582438,1.2091077080363888,1.1731930054550195,1.1380945461141359,1.103812330013738,1.0703463571538256,1.037696627534399,1.0058631411554582,0.9748458980170029,0.9446448981190334,0.9152601414615494,0.8866916280445513,0.8589393578680384,0.8320033309320116,0.8058835472364704,0.7805800067814148,0.7560927095668449,0.7324216555927605,0.709566844859162,0.6875282773660489,0.6663059531134217,0.6458998721012801,0.6263100343296241,0.607536439798454,0.5895790885077693,0.5724379804575703,0.5561131156478569,0.5406044940786293,0.5259121157498874,0.5120359806616311,0.49897608881386046,0.48673244020657547,0.47530503483977615,0.4646938727134625,0.45489895382763457,0.44592027818229224,0.4377578457774356,0.43041165661306463,0.4238817106891793,0.41816800800577963,0.41327054856286566,0.40918933236043736,0.4059243593984947,0.4034756296770377,0.40184314319606634,0.40102689995558066,0.40102689995558066,0.40184314319606634,0.4034756296770377,0.4059243593984947,0.4091893323604373,0.41327054856286566,0.41816800800577963,0.42388171068917935,0.43041165661306463,0.4377578457774356,0.44592027818229224,0.4548989538276345,0.4646938727134626,0.47530503483977615,0.4867324402065756,0.49897608881386046,0.512035980661631,0.5259121157498874,0.5406044940786293,0.556113115647857,0.5724379804575703,0.5895790885077692,0.607536439798454,0.6263100343296241,0.6458998721012802,0.6663059531134217,0.6875282773660489,0.709566844859162,0.7324216555927605,0.7560927095668449,0.7805800067814148,0.8058835472364705,0.8320033309320116,0.8589393578680384,0.8866916280445513,0.9152601414615494,0.9446448981190335,0.9748458980170029,1.0058631411554582,1.037696627534399,1.0703463571538256,1.1038123300137381,1.1380945461141359,1.1731930054550197,1.2091077080363888,1.2458386538582435,1.2833858429205844,1.3217492752234103,1.3609289507667226,1.4009248695505199],[1.3688667101584149,1.3288707913746174,1.2896911158313054,1.2513276835284795,1.2137804944661388,1.1770495486442838,1.1411348460629145,1.1060363867220309,1.071754170621633,1.0382881977617207,1.005638468142294,0.9738049817633533,0.942787738624898,0.9125867387269284,0.8832019820694444,0.8546334686524463,0.8268811984759334,0.7999451715399066,0.7738253878443654,0.7485218473893098,0.7240345501747399,0.7003634962006555,0.677508685467057,0.6554701179739439,0.6342477937213167,0.6138417127091751,0.5942518749375191,0.575478280406349,0.5575209291156643,0.5403798210654653,0.5240549562557519,0.5085463346865243,0.49385395635778234,0.47997782126952615,0.4669179294217555,0.4546742808144705,0.44324687544767116,0.43263571332135753,0.4228407944355296,0.41386211879018725,0.4056996863853306,0.39835349722095964,0.3918235512970743,0.38610984861367464,0.38121238917076067,0.3771311729683324,0.3738662000063897,0.3714174702849327,0.36978498380396135,0.3689687405634757,0.3689687405634757,0.36978498380396135,0.3714174702849327,0.3738662000063897,0.3771311729683323,0.38121238917076067,0.38610984861367464,0.39182355129707436,0.39835349722095964,0.4056996863853306,0.41386211879018725,0.4228407944355295,0.4326357133213576,0.44324687544767116,0.4546742808144706,0.4669179294217555,0.47997782126952604,0.49385395635778245,0.5085463346865243,0.524054956255752,0.5403798210654653,0.5575209291156642,0.575478280406349,0.5942518749375191,0.6138417127091752,0.6342477937213167,0.6554701179739439,0.677508685467057,0.7003634962006555,0.7240345501747399,0.7485218473893098,0.7738253878443655,0.7999451715399066,0.8268811984759334,0.8546334686524463,0.8832019820694444,0.9125867387269285,0.942787738624898,0.9738049817633531,1.005638468142294,1.0382881977617207,1.0717541706216331,1.1060363867220309,1.1411348460629147,1.1770495486442838,1.2137804944661386,1.2513276835284795,1.2896911158313054,1.3288707913746176,1.3688667101584149],[1.338564710465537,1.2985687916817394,1.2593891161384274,1.2210256838356013,1.1834784947732608,1.1467475489514058,1.1108328463700365,1.075734387029153,1.041452170928755,1.0079861980688427,0.9753364684494161,0.9435029820704752,0.91248573893202,0.8822847390340505,0.8528999823765664,0.8243314689595682,0.7965791987830555,0.7696431718470287,0.7435233881514873,0.7182198476964318,0.6937325504818619,0.6700614965077776,0.647206685774179,0.625168118281066,0.6039457940284387,0.5835397130162971,0.5639498752446411,0.5451762807134709,0.5272189294227863,0.5100778213725873,0.493752956562874,0.4782443349936463,0.46355195666490434,0.4496758215766481,0.43661592972887747,0.4243722811215925,0.41294487575479316,0.40233371362847953,0.3925387947426516,0.38356011909730925,0.3753976866924526,0.36805149752808164,0.3615215516041963,0.35580784892079664,0.35091038947788267,0.34682917327545437,0.3435642003135117,0.3411154705920547,0.33948298411108335,0.33866674087059767,0.33866674087059767,0.33948298411108335,0.3411154705920547,0.3435642003135117,0.3468291732754543,0.35091038947788267,0.35580784892079664,0.36152155160419636,0.36805149752808164,0.37539768669245255,0.38356011909730925,0.3925387947426515,0.4023337136284796,0.41294487575479316,0.42437228112159253,0.43661592972887747,0.44967582157664804,0.46355195666490445,0.4782443349936463,0.4937529565628741,0.5100778213725873,0.5272189294227861,0.5451762807134709,0.5639498752446411,0.5835397130162971,0.6039457940284387,0.6251681182810659,0.647206685774179,0.6700614965077776,0.6937325504818619,0.7182198476964318,0.7435233881514876,0.7696431718470287,0.7965791987830555,0.8243314689595682,0.8528999823765664,0.8822847390340505,0.91248573893202,0.943502982070475,0.9753364684494161,1.0079861980688427,1.0414521709287552,1.075734387029153,1.1108328463700368,1.1467475489514058,1.1834784947732606,1.2210256838356013,1.2593891161384274,1.2985687916817397,1.338564710465537],[1.3099694011845833,1.2699734824007856,1.2307938068574737,1.1924303745546476,1.154883185492307,1.118152239670452,1.0822375370890827,1.047139077748199,1.012856861647801,0.9793908887878888,0.9467411591684625,0.9149076727895216,0.8838904296510661,0.8536894297530966,0.8243046730956127,0.7957361596786146,0.7679838895021017,0.7410478625660749,0.7149280788705337,0.689624538415478,0.6651372412009082,0.6414661872268237,0.6186113764932253,0.5965728090001122,0.575350484747485,0.5549444037353433,0.5353545659636874,0.5165809714325171,0.4986236201418325,0.4814825120916335,0.4651576472819202,0.44964902571269255,0.43495664738395057,0.4210805122956943,0.4080206204479237,0.3957769718406387,0.3843495664738394,0.37373840434752575,0.3639434854616978,0.3549648098163555,0.34680237741149883,0.33945618824712787,0.3329262423232425,0.32721253963984287,0.3223150801969289,0.3182338639945006,0.31496889103255793,0.31252016131110094,0.3108876748301296,0.3100714315896439,0.3100714315896439,0.3108876748301296,0.31252016131110094,0.31496889103255793,0.31823386399450054,0.3223150801969289,0.32721253963984287,0.3329262423232426,0.33945618824712787,0.3468023774114988,0.3549648098163555,0.36394348546169775,0.3737384043475258,0.3843495664738394,0.39577697184063876,0.4080206204479237,0.42108051229569426,0.4349566473839507,0.44964902571269255,0.46515764728192033,0.4814825120916335,0.49862362014183237,0.5165809714325171,0.5353545659636874,0.5549444037353435,0.575350484747485,0.5965728090001121,0.6186113764932253,0.6414661872268237,0.6651372412009082,0.689624538415478,0.7149280788705338,0.7410478625660749,0.7679838895021017,0.7957361596786146,0.8243046730956127,0.8536894297530968,0.8838904296510661,0.9149076727895213,0.9467411591684625,0.9793908887878888,1.0128568616478013,1.047139077748199,1.0822375370890829,1.118152239670452,1.1548831854923067,1.1924303745546476,1.2307938068574737,1.2699734824007858,1.3099694011845833],[1.283031313028252,1.2430353942444545,1.2038557187011425,1.1654922863983166,1.127945097335976,1.091214151514121,1.0552994489327516,1.020200989591868,0.9859187734914701,0.9524528006315578,0.9198030710121313,0.8879695846331904,0.8569523414947351,0.8267513415967656,0.7973665849392816,0.7687980715222834,0.7410458013457706,0.7141097744097438,0.6879899907142025,0.662686450259147,0.6381991530445771,0.6145280990704927,0.5916732883368941,0.5696347208437811,0.5484123965911538,0.5280063155790122,0.5084164778073562,0.48964288327618605,0.47168553198550145,0.4545444239353024,0.43821955912558913,0.42271093755636147,0.4080185592276195,0.3941424241393633,0.3810825322915926,0.3688388836843076,0.3574114783175083,0.34680031619119467,0.3370053973053667,0.3280267216600244,0.31986428925516774,0.3125181000907968,0.30598815416691144,0.3002744514835118,0.2953769920405978,0.2912957758381695,0.28803080287622684,0.28558207315476986,0.2839495866737985,0.2831333434333128,0.2831333434333128,0.2839495866737985,0.28558207315476986,0.28803080287622684,0.29129577583816946,0.2953769920405978,0.3002744514835118,0.3059881541669115,0.3125181000907968,0.31986428925516774,0.3280267216600244,0.33700539730536666,0.3468003161911947,0.3574114783175083,0.36883888368430773,0.3810825322915926,0.3941424241393632,0.4080185592276196,0.42271093755636147,0.4382195591255892,0.4545444239353024,0.47168553198550134,0.48964288327618605,0.5084164778073562,0.5280063155790123,0.5484123965911538,0.5696347208437811,0.5916732883368941,0.6145280990704927,0.6381991530445771,0.662686450259147,0.6879899907142026,0.7141097744097438,0.7410458013457706,0.7687980715222834,0.7973665849392816,0.8267513415967657,0.8569523414947351,0.8879695846331902,0.9198030710121313,0.9524528006315578,0.9859187734914703,1.020200989591868,1.0552994489327518,1.091214151514121,1.1279450973359757,1.1654922863983166,1.2038557187011425,1.2430353942444547,1.283031313028252],[1.257700976709241,1.2177050579254436,1.1785253823821316,1.1401619500793054,1.102614761016965,1.06588381519511,1.0299691126137407,0.9948706532728571,0.9605884371724591,0.9271224643125469,0.8944727346931203,0.8626392483141794,0.8316220051757242,0.8014210052777546,0.7720362486202705,0.7434677352032724,0.7157154650267596,0.6887794380907328,0.6626596543951915,0.6373561139401359,0.612868816725566,0.5891977627514817,0.5663429520178831,0.5443043845247701,0.5230820602721429,0.5026759792600013,0.4830861414883453,0.46431254695717505,0.4463551956664904,0.42921408761629143,0.41288922280657814,0.3973806012373505,0.3826882229086085,0.36881208782035224,0.3557521959725816,0.3435085473652966,0.3320811419984973,0.3214699798721837,0.3116750609863557,0.3026963853410134,0.29453395293615675,0.2871877637717858,0.28065781784790045,0.2749441151645008,0.2700466557215868,0.2659654395191585,0.26270046655721585,0.26025173683575886,0.2586192503547875,0.2578030071143018,0.2578030071143018,0.2586192503547875,0.26025173683575886,0.26270046655721585,0.26596543951915846,0.2700466557215868,0.2749441151645008,0.2806578178479005,0.2871877637717858,0.2945339529361567,0.3026963853410134,0.31167506098635567,0.32146997987218373,0.3320811419984973,0.3435085473652967,0.3557521959725816,0.3688120878203522,0.3826882229086086,0.3973806012373505,0.41288922280657825,0.42921408761629143,0.4463551956664903,0.46431254695717505,0.4830861414883453,0.5026759792600013,0.5230820602721429,0.54430438452477,0.5663429520178831,0.5891977627514817,0.612868816725566,0.6373561139401359,0.6626596543951917,0.6887794380907328,0.7157154650267596,0.7434677352032724,0.7720362486202705,0.8014210052777546,0.8316220051757242,0.8626392483141792,0.8944727346931203,0.9271224643125469,0.9605884371724593,0.9948706532728571,1.029969112613741,1.06588381519511,1.1026147610169648,1.1401619500793054,1.1785253823821316,1.2177050579254438,1.257700976709241],[1.2339289229402484,1.1939330041564507,1.1547533286131388,1.1163898963103127,1.078842707247972,1.042111761426117,1.0061970588447477,0.9710985995038641,0.9368163834034662,0.9033504105435539,0.8707006809241274,0.8388671945451865,0.8078499514067312,0.7776489515087617,0.7482641948512777,0.7196956814342795,0.6919434112577668,0.66500738432174,0.6388876006261986,0.6135840601711431,0.5890967629565732,0.5654257089824888,0.5425708982488903,0.5205323307557773,0.49931000650315005,0.47890392549100835,0.4593140877193524,0.4405404931881822,0.42258314189749757,0.4054420338472986,0.3891171690375853,0.3736085474683576,0.35891616913961566,0.3450400340513594,0.33198014220358874,0.3197364935963038,0.3083090882295045,0.2976979261031908,0.2879030072173629,0.27892433157202057,0.2707618991671639,0.2634157100027929,0.2568857640789076,0.25117206139550796,0.24627460195259396,0.24219338575016564,0.23892841278822297,0.23647968306676598,0.23484719658579464,0.234030953345309,0.234030953345309,0.23484719658579464,0.236479683066766,0.23892841278822297,0.2421933857501656,0.24627460195259396,0.25117206139550796,0.2568857640789076,0.2634157100027929,0.27076189916716387,0.27892433157202057,0.28790300721736284,0.2976979261031909,0.3083090882295045,0.31973649359630385,0.33198014220358874,0.34504003405135936,0.3589161691396157,0.3736085474683576,0.38911716903758536,0.4054420338472986,0.42258314189749746,0.4405404931881822,0.4593140877193524,0.47890392549100846,0.49931000650315005,0.5205323307557772,0.5425708982488903,0.5654257089824888,0.5890967629565732,0.6135840601711431,0.6388876006261989,0.66500738432174,0.6919434112577668,0.7196956814342795,0.7482641948512777,0.7776489515087618,0.8078499514067312,0.8388671945451863,0.8707006809241274,0.9033504105435539,0.9368163834034664,0.9710985995038641,1.006197058844748,1.042111761426117,1.0788427072479718,1.1163898963103127,1.1547533286131388,1.1939330041564509,1.2339289229402484],[1.2116656824339715,1.1716697636501738,1.132490088106862,1.094126655804036,1.0565794667416952,1.0198485209198402,0.9839338183384709,0.9488353589975873,0.9145531428971894,0.8810871700372771,0.8484374404178506,0.8166039540389097,0.7855867109004544,0.7553857110024849,0.7260009543450009,0.6974324409280027,0.66968017075149,0.6427441438154632,0.6166243601199218,0.5913208196648663,0.5668335224502964,0.543162468476212,0.5203076577426134,0.4982690902495005,0.47704676599687323,0.45664068498473154,0.4370508472130756,0.4182772526819054,0.40031990139122076,0.3831787933410218,0.3668539285313085,0.3513453069620808,0.33665292863333884,0.3227767935450826,0.3097169016973119,0.297473253090027,0.28604584772322766,0.275434685596914,0.2656397667110861,0.25666109106574375,0.2484986586608871,0.2411524694965161,0.23462252357263078,0.22890882088923112,0.22401136144631714,0.21993014524388882,0.21666517228194615,0.21421644256048916,0.21258395607951783,0.21176771283903217,0.21176771283903217,0.21258395607951783,0.2142164425604892,0.21666517228194615,0.2199301452438888,0.22401136144631714,0.22890882088923112,0.2346225235726308,0.2411524694965161,0.24849865866088705,0.25666109106574375,0.265639766711086,0.2754346855969141,0.28604584772322766,0.29747325309002703,0.3097169016973119,0.32277679354508254,0.3366529286333389,0.3513453069620808,0.36685392853130855,0.3831787933410218,0.40031990139122064,0.4182772526819054,0.4370508472130756,0.45664068498473165,0.47704676599687323,0.4982690902495004,0.5203076577426134,0.543162468476212,0.5668335224502964,0.5913208196648663,0.616624360119922,0.6427441438154632,0.66968017075149,0.6974324409280027,0.7260009543450009,0.755385711002485,0.7855867109004544,0.8166039540389095,0.8484374404178506,0.8810871700372771,0.9145531428971896,0.9488353589975873,0.9839338183384712,1.0198485209198402,1.056579466741695,1.094126655804036,1.132490088106862,1.171669763650174,1.2116656824339715],[1.190861785903108,1.1508658671193106,1.1116861915759986,1.0733227592731724,1.035775570210832,0.999044624388977,0.9631299218076077,0.9280314624667241,0.8937492463663261,0.8602832735064139,0.8276335438869873,0.7958000575080464,0.7647828143695912,0.7345818144716216,0.7051970578141376,0.6766285443971394,0.6488762742206267,0.6219402472845998,0.5958204635890585,0.5705169231340029,0.546029625919433,0.5223585719453487,0.49950376121175016,0.47746519371863716,0.4562428694660099,0.43583678845386825,0.4162469506822123,0.39747335615104207,0.3795160048603574,0.36237489681015844,0.34605003200044515,0.3305414104312175,0.3158490321024755,0.30197289701421925,0.28891300516644863,0.27666935655916364,0.2652419511923643,0.2546307890660507,0.24483587018022276,0.23585719453488044,0.22769476213002376,0.2203485729656528,0.21381862704176746,0.2081049243583678,0.20320746491545383,0.1991262487130255,0.19586127575108284,0.19341254602962585,0.1917800595486545,0.19096381630816886,0.19096381630816886,0.1917800595486545,0.19341254602962588,0.19586127575108284,0.19912624871302548,0.20320746491545383,0.2081049243583678,0.2138186270417675,0.2203485729656528,0.22769476213002374,0.23585719453488044,0.2448358701802227,0.25463078906605074,0.2652419511923643,0.2766693565591637,0.28891300516644863,0.3019728970142192,0.3158490321024756,0.3305414104312175,0.34605003200044526,0.36237489681015844,0.3795160048603573,0.39747335615104207,0.4162469506822123,0.43583678845386836,0.4562428694660099,0.47746519371863705,0.49950376121175016,0.5223585719453487,0.546029625919433,0.5705169231340029,0.5958204635890587,0.6219402472845998,0.6488762742206267,0.6766285443971394,0.7051970578141376,0.7345818144716216,0.7647828143695912,0.7958000575080462,0.8276335438869873,0.8602832735064139,0.8937492463663264,0.9280314624667241,0.9631299218076079,0.999044624388977,1.0357755702108318,1.0733227592731724,1.1116861915759986,1.1508658671193108,1.190861785903108],[1.1714677640603566,1.131471845276559,1.092292169733247,1.0539287374304211,1.0163815483680805,0.9796506025462255,0.9437358999648562,0.9086374406239726,0.8743552245235746,0.8408892516636624,0.8082395220442359,0.776406035665295,0.7453887925268396,0.7151877926288701,0.6858030359713861,0.657234522554388,0.6294822523778751,0.6025462254418483,0.5764264417463071,0.5511229012912515,0.5266356040766816,0.5029645501025972,0.4801097393689987,0.4580711718758857,0.43684884762325843,0.4164427666111168,0.3968529288394608,0.3780793343082906,0.360121983017606,0.342980874967407,0.3266560101576937,0.311147388588466,0.29645501025972404,0.28257887517146785,0.26951898332369717,0.2572753347164122,0.24584792934961286,0.23523676722329923,0.2254418483374713,0.21646317269212897,0.2083007402872723,0.20095455112290134,0.194424605199016,0.18871090251561634,0.18381344307270236,0.17973222687027404,0.17646725390833137,0.17401852418687438,0.17238603770590305,0.1715697944654174,0.1715697944654174,0.17238603770590305,0.1740185241868744,0.17646725390833137,0.17973222687027401,0.18381344307270236,0.18871090251561634,0.19442460519901603,0.20095455112290134,0.20830074028727227,0.21646317269212897,0.22544184833747125,0.23523676722329928,0.24584792934961286,0.2572753347164123,0.26951898332369717,0.28257887517146774,0.29645501025972415,0.311147388588466,0.32665601015769374,0.342980874967407,0.3601219830176059,0.3780793343082906,0.3968529288394608,0.4164427666111169,0.43684884762325843,0.4580711718758856,0.4801097393689987,0.5029645501025972,0.5266356040766816,0.5511229012912515,0.5764264417463072,0.6025462254418483,0.6294822523778751,0.657234522554388,0.6858030359713861,0.7151877926288702,0.7453887925268396,0.7764060356652948,0.8082395220442359,0.8408892516636624,0.8743552245235748,0.9086374406239726,0.9437358999648564,0.9796506025462255,1.0163815483680803,1.0539287374304211,1.092292169733247,1.1314718452765593,1.1714677640603566],[1.1534341476184145,1.113438228834617,1.074258553291305,1.0358951209884788,0.9983479319261384,0.9616169861042834,0.9257022835229141,0.8906038241820304,0.8563216080816325,0.8228556352217202,0.7902059056022938,0.7583724192233529,0.7273551760848975,0.697154176186928,0.667769419529444,0.6392009061124458,0.611448635935933,0.5845126089999062,0.558392825304365,0.5330892848493093,0.5086019876347395,0.4849309336606551,0.4620761229270566,0.4400375554339435,0.41881523118131625,0.39840915016917466,0.37881931239751865,0.3600457178663484,0.3420883665756638,0.3249472585254648,0.3086223937157515,0.2931137721465239,0.2784213938177819,0.26454525872952567,0.25148536688175505,0.23924171827447005,0.22781431290767074,0.21720315078135707,0.20740823189552915,0.19842955625018682,0.19026712384533018,0.18292093468095916,0.17639098875707385,0.1706772860736742,0.1657798266307602,0.1616986104283319,0.15843363746638922,0.15598490774493223,0.1543524212639609,0.15353617802347524,0.15353617802347524,0.1543524212639609,0.15598490774493226,0.15843363746638922,0.16169861042833186,0.1657798266307602,0.1706772860736742,0.17639098875707387,0.18292093468095916,0.19026712384533012,0.19842955625018682,0.2074082318955291,0.21720315078135713,0.22781431290767074,0.2392417182744701,0.25148536688175505,0.2645452587295256,0.27842139381778197,0.2931137721465239,0.3086223937157516,0.3249472585254648,0.3420883665756637,0.3600457178663484,0.37881931239751865,0.3984091501691748,0.41881523118131625,0.4400375554339434,0.4620761229270566,0.4849309336606551,0.5086019876347395,0.5330892848493093,0.5583928253043651,0.5845126089999062,0.611448635935933,0.6392009061124458,0.667769419529444,0.6971541761869281,0.7273551760848975,0.7583724192233526,0.7902059056022938,0.8228556352217202,0.8563216080816327,0.8906038241820304,0.9257022835229143,0.9616169861042834,0.9983479319261381,1.0358951209884788,1.074258553291305,1.1134382288346172,1.1534341476184145],[1.1367114672899796,1.0967155485061821,1.05753587296287,1.019172440660044,0.9816252515977035,0.9448943057758485,0.9089796031944792,0.8738811438535956,0.8395989277531977,0.8061329548932854,0.7734832252738588,0.7416497388949179,0.7106324957564627,0.6804314958584932,0.6510467392010091,0.6224782257840109,0.5947259556074982,0.5677899286714714,0.54167014497593,0.5163666045208745,0.49187930730630464,0.4682082533322202,0.4453534425986217,0.4233148751055087,0.4020925508528814,0.3816864698407398,0.3620966320690838,0.3433230375379136,0.32536568624722895,0.30822457819703,0.2918997133873167,0.276391091818089,0.26169871348934703,0.24782257840109082,0.23476268655332017,0.22251903794603517,0.21109163257923585,0.20048047045292222,0.1906855515670943,0.18170687592175197,0.1735444435168953,0.16619825435252433,0.159668308428639,0.15395460574523934,0.14905714630232536,0.14497593009989704,0.14171095713795437,0.13926222741649738,0.13762974093552605,0.1368134976950404,0.1368134976950404,0.13762974093552605,0.1392622274164974,0.14171095713795437,0.144975930099897,0.14905714630232536,0.15395460574523934,0.15966830842863902,0.16619825435252433,0.17354444351689527,0.18170687592175197,0.19068555156709424,0.20048047045292228,0.21109163257923585,0.22251903794603525,0.23476268655332017,0.24782257840109073,0.26169871348934715,0.276391091818089,0.2918997133873168,0.30822457819703,0.32536568624722884,0.3433230375379136,0.3620966320690838,0.3816864698407399,0.4020925508528814,0.4233148751055086,0.4453534425986217,0.4682082533322202,0.49187930730630464,0.5163666045208745,0.5416701449759302,0.5677899286714714,0.5947259556074982,0.6224782257840109,0.6510467392010091,0.6804314958584932,0.7106324957564627,0.7416497388949177,0.7734832252738588,0.8061329548932854,0.8395989277531979,0.8738811438535956,0.9089796031944795,0.9448943057758485,0.9816252515977033,1.019172440660044,1.05753587296287,1.0967155485061824,1.1367114672899796],[1.12125025378775,1.0812543350039523,1.0420746594606405,1.0037112271578144,0.9661640380954737,0.9294330922736187,0.8935183896922494,0.8584199303513658,0.8241377142509678,0.7906717413910556,0.7580220117716291,0.7261885253926882,0.6951712822542329,0.6649702823562633,0.6355855256987794,0.6070170122817812,0.5792647421052685,0.5523287151692416,0.5262089314737003,0.5009053910186447,0.4764180938040749,0.4527470398299905,0.42989222909639196,0.40785366160327896,0.3866313373506517,0.36622525633851005,0.34663541856685404,0.32786182403568387,0.3099044727449992,0.29276336469480024,0.27643849988508695,0.2609298783158593,0.2462374999871173,0.23236136489886106,0.21930147305109043,0.20705782444380544,0.19563041907700612,0.1850192569506925,0.17522433806486454,0.1662456624195222,0.15808323001466557,0.15073704085029457,0.14420709492640926,0.1384933922430096,0.13359593280009563,0.1295147165976673,0.12624974363572464,0.12380101391426764,0.12216852743329631,0.12135228419281065,0.12135228419281065,0.12216852743329631,0.12380101391426765,0.12624974363572464,0.12951471659766728,0.13359593280009563,0.1384933922430096,0.1442070949264093,0.15073704085029457,0.1580832300146655,0.1662456624195222,0.17522433806486448,0.18501925695069255,0.19563041907700612,0.2070578244438055,0.21930147305109043,0.232361364898861,0.2462374999871174,0.2609298783158593,0.276438499885087,0.29276336469480024,0.3099044727449991,0.32786182403568387,0.34663541856685404,0.36622525633851016,0.3866313373506517,0.40785366160327885,0.42989222909639196,0.4527470398299905,0.4764180938040749,0.5009053910186447,0.5262089314737005,0.5523287151692416,0.5792647421052685,0.6070170122817812,0.6355855256987794,0.6649702823562634,0.6951712822542329,0.726188525392688,0.7580220117716291,0.7906717413910556,0.824137714250968,0.8584199303513658,0.8935183896922496,0.9294330922736187,0.9661640380954735,1.0037112271578144,1.0420746594606405,1.0812543350039525,1.12125025378775],[1.107001037824423,1.0670051190406256,1.0278254434973135,0.9894620111944875,0.951914822132147,0.915183876310292,0.8792691737289227,0.844170714388039,0.8098884982876411,0.7764225254277288,0.7437727958083024,0.7119393094293615,0.6809220662909061,0.6507210663929366,0.6213363097354526,0.5927677963184544,0.5650155261419416,0.5380794992059148,0.5119597155103736,0.48665617505531794,0.4621688778407481,0.4384978238666637,0.4156430131330652,0.39360444563995217,0.3723821213873249,0.35197604037518326,0.33238620260352725,0.3136126080723571,0.2956552567816725,0.27851414873147345,0.26218928392176016,0.2466806623525325,0.23198828402379051,0.2181121489355343,0.20505225708776365,0.19280860848047865,0.18138120311367933,0.1707700409873657,0.16097512210153778,0.15199644645619545,0.14383401405133878,0.1364878248869678,0.12995787896308247,0.12424417627968282,0.11934671683676885,0.11526550063434052,0.11200052767239786,0.10955179795094086,0.10791931146996954,0.10710306822948387,0.10710306822948387,0.10791931146996954,0.10955179795094087,0.11200052767239786,0.1152655006343405,0.11934671683676885,0.12424417627968282,0.1299578789630825,0.1364878248869678,0.14383401405133875,0.15199644645619545,0.16097512210153772,0.17077004098736576,0.18138120311367933,0.19280860848047873,0.20505225708776365,0.2181121489355342,0.23198828402379063,0.2466806623525325,0.2621892839217602,0.27851414873147345,0.29565525678167237,0.3136126080723571,0.33238620260352725,0.3519760403751834,0.3723821213873249,0.39360444563995206,0.4156430131330652,0.4384978238666637,0.4621688778407481,0.48665617505531794,0.5119597155103737,0.5380794992059148,0.5650155261419416,0.5927677963184544,0.6213363097354526,0.6507210663929367,0.6809220662909061,0.7119393094293612,0.7437727958083024,0.7764225254277288,0.8098884982876413,0.844170714388039,0.8792691737289229,0.915183876310292,0.9519148221321467,0.9894620111944875,1.0278254434973135,1.0670051190406258,1.107001037824423],[1.0939143501126973,1.0539184313288996,1.0147387557855878,0.9763753234827616,0.938828134420421,0.902097188598566,0.8661824860171967,0.8310840266763131,0.7968018105759151,0.7633358377160029,0.7306861080965764,0.6988526217176355,0.6678353785791802,0.6376343786812106,0.6082496220237267,0.5796811086067285,0.5519288384302158,0.524992811494189,0.4988730277986476,0.47356948734359205,0.4490821901290222,0.42541113615493775,0.40255632542133923,0.3805177579282263,0.359295433675599,0.3388893526634573,0.31929951489180136,0.3005259203606312,0.28256856906994654,0.26542746101974757,0.24910259621003425,0.23359397464080658,0.21890159631206463,0.20502546122380838,0.19196556937603773,0.17972192076875276,0.16829451540195345,0.1576833532756398,0.14788843438981186,0.13890975874446954,0.1307473263396129,0.12340113717524188,0.11687119125135656,0.1111574885679569,0.10626002912504294,0.1021788129226146,0.09891383996067195,0.09646511023921495,0.09483262375824363,0.09401638051775796,0.09401638051775796,0.09483262375824363,0.09646511023921496,0.09891383996067195,0.10217881292261459,0.10626002912504294,0.1111574885679569,0.11687119125135659,0.12340113717524188,0.13074732633961283,0.13890975874446954,0.1478884343898118,0.15768335327563984,0.16829451540195345,0.17972192076875282,0.19196556937603773,0.20502546122380833,0.21890159631206468,0.23359397464080658,0.24910259621003433,0.26542746101974757,0.28256856906994643,0.3005259203606312,0.31929951489180136,0.33888935266345743,0.359295433675599,0.3805177579282262,0.40255632542133923,0.42541113615493775,0.4490821901290222,0.47356948734359205,0.49887302779864784,0.524992811494189,0.5519288384302158,0.5796811086067285,0.6082496220237267,0.6376343786812108,0.6678353785791802,0.6988526217176353,0.7306861080965764,0.7633358377160029,0.7968018105759154,0.8310840266763131,0.8661824860171969,0.902097188598566,0.9388281344204208,0.9763753234827616,1.0147387557855878,1.0539184313288998,1.0939143501126973],[1.0819407213652699,1.0419448025814724,1.0027651270381603,0.9644016947353342,0.9268545056729937,0.8901235598511387,0.8542088572697694,0.8191103979288857,0.7848281818284878,0.7513622089685755,0.7187124793491491,0.6868789929702082,0.6558617498317528,0.6256607499337833,0.5962759932762993,0.5677074798593011,0.5399552096827884,0.5130191827467616,0.48689939905122026,0.4615958585961647,0.4371085613815948,0.4134375074075104,0.3905826966739119,0.36854412918079893,0.34732180492817166,0.32691572391602997,0.307325886144374,0.28855229161320384,0.2705949403225192,0.2534538322723202,0.2371289674626069,0.22162034589337923,0.20692796756463727,0.19305183247638102,0.17999194062861038,0.1677482920213254,0.1563208866545261,0.14570972452821243,0.1359148056423845,0.12693612999704218,0.11877369759218552,0.11142750842781453,0.1048975625039292,0.09918385982052955,0.09428640037761558,0.09020518417518725,0.08694021121324459,0.08449148149178759,0.08285899501081627,0.0820427517703306,0.0820427517703306,0.08285899501081627,0.0844914814917876,0.08694021121324459,0.09020518417518723,0.09428640037761558,0.09918385982052955,0.10489756250392923,0.11142750842781453,0.11877369759218548,0.12693612999704218,0.13591480564238445,0.1457097245282125,0.1563208866545261,0.16774829202132546,0.17999194062861038,0.19305183247638097,0.20692796756463733,0.22162034589337923,0.23712896746260698,0.2534538322723202,0.2705949403225191,0.28855229161320384,0.307325886144374,0.3269157239160301,0.34732180492817166,0.3685441291807988,0.3905826966739119,0.4134375074075104,0.4371085613815948,0.4615958585961647,0.4868993990512205,0.5130191827467616,0.5399552096827884,0.5677074798593011,0.5962759932762993,0.6256607499337834,0.6558617498317528,0.6868789929702079,0.7187124793491491,0.7513622089685755,0.784828181828488,0.8191103979288857,0.8542088572697696,0.8901235598511387,0.9268545056729934,0.9644016947353342,1.0027651270381603,1.0419448025814726,1.0819407213652699],[1.071030682294839,1.0310347635110415,0.9918550879677295,0.9534916556649033,0.9159444666025628,0.8792135207807078,0.8432988181993385,0.8082003588584549,0.7739181427580569,0.7404521698981447,0.7078024402787182,0.6759689538997773,0.644951710761322,0.6147507108633524,0.5853659542058685,0.5567974407888703,0.5290451706123576,0.5021091436763307,0.4759893599807894,0.4506858195257338,0.42619852231116395,0.40252746833707953,0.379672657603481,0.357634090110368,0.33641176585774074,0.3160056848455991,0.29641584707394314,0.2776422525427729,0.2596849012520883,0.2425437932018893,0.226218928392176,0.21071030682294833,0.19601792849420638,0.18214179340595016,0.16908190155817948,0.1568382529508945,0.1454108475840952,0.13479968545778154,0.1250047665719536,0.11602609092661129,0.10786365852175464,0.10051746935738365,0.09398752343349832,0.08827382075009867,0.0833763613071847,0.07929514510475637,0.07603017214281371,0.07358144242135671,0.07194895594038539,0.07113271269989972,0.07113271269989972,0.07194895594038539,0.07358144242135672,0.07603017214281371,0.07929514510475635,0.0833763613071847,0.08827382075009867,0.09398752343349837,0.10051746935738365,0.1078636585217546,0.11602609092661129,0.12500476657195356,0.1347996854577816,0.1454108475840952,0.1568382529508946,0.16908190155817948,0.18214179340595008,0.19601792849420646,0.21071030682294833,0.2262189283921761,0.2425437932018893,0.2596849012520882,0.2776422525427729,0.29641584707394314,0.3160056848455992,0.33641176585774074,0.3576340901103679,0.379672657603481,0.40252746833707953,0.42619852231116395,0.4506858195257338,0.47598935998078956,0.5021091436763307,0.5290451706123576,0.5567974407888703,0.5853659542058685,0.6147507108633525,0.644951710761322,0.6759689538997771,0.7078024402787182,0.7404521698981447,0.7739181427580571,0.8082003588584549,0.8432988181993387,0.8792135207807078,0.9159444666025626,0.9534916556649033,0.9918550879677295,1.0310347635110417,1.071030682294839],[1.0611347636141024,1.021138844830305,0.9819591692869929,0.9435957369841668,0.9060485479218262,0.8693176020999712,0.8334028995186019,0.7983044401777183,0.7640222240773203,0.7305562512174081,0.6979065215979816,0.6660730352190407,0.6350557920805854,0.6048547921826158,0.5754700355251319,0.5469015221081337,0.519149251931621,0.49221322499559417,0.46609344130005287,0.44078990084499725,0.4163026036304274,0.392631549656343,0.3697767389227445,0.3477381714296315,0.3265158471770042,0.3061097661648626,0.28651992839320656,0.2677463338620364,0.24978898257135174,0.23264787452115274,0.21632300971143945,0.20081438814221178,0.18612200981346982,0.17224587472521358,0.15918598287744293,0.14694233427015796,0.13551492890335864,0.12490376677704498,0.11510884789121706,0.10613017224587473,0.09796773984101809,0.0906215506766471,0.08409160475276176,0.0783779020693621,0.07348044262644814,0.06939922642401981,0.06613425346207714,0.06368552374062016,0.06205303725964882,0.06123679401916316,0.06123679401916316,0.06205303725964882,0.06368552374062017,0.06613425346207714,0.06939922642401979,0.07348044262644814,0.0783779020693621,0.0840916047527618,0.0906215506766471,0.09796773984101803,0.10613017224587473,0.115108847891217,0.12490376677704504,0.13551492890335864,0.14694233427015801,0.15918598287744293,0.17224587472521352,0.1861220098134699,0.20081438814221178,0.21632300971143953,0.23264787452115274,0.24978898257135163,0.2677463338620364,0.28651992839320656,0.3061097661648627,0.3265158471770042,0.34773817142963137,0.3697767389227445,0.392631549656343,0.4163026036304274,0.44078990084499725,0.46609344130005304,0.49221322499559417,0.519149251931621,0.5469015221081337,0.5754700355251319,0.604854792182616,0.6350557920805854,0.6660730352190405,0.6979065215979816,0.7305562512174081,0.7640222240773206,0.7983044401777183,0.8334028995186021,0.8693176020999712,0.906048547921826,0.9435957369841668,0.9819591692869929,1.0211388448303051,1.0611347636141024],[1.052203496035758,1.0122075772519605,0.9730279017086485,0.9346644694058224,0.8971172803434818,0.8603863345216268,0.8244716319402575,0.7893731725993739,0.755090956498976,0.7216249836390637,0.6889752540196372,0.6571417676406963,0.626124524502241,0.5959235246042714,0.5665387679467875,0.5379702545297893,0.5102179843532766,0.4832819574172497,0.4571621737217084,0.4318586332666528,0.407371336052083,0.38370028207799856,0.36084547134440004,0.33880690385128703,0.31758457959865977,0.2971784985865181,0.27758866081486216,0.25881506628369194,0.24085771499300734,0.22371660694280832,0.20739174213309503,0.19188312056386736,0.1771907422351254,0.16331460714686918,0.1502547152990985,0.13801106669181354,0.12658366132501422,0.11597249919870058,0.10617758031287264,0.09719890466753031,0.08903647226267367,0.08169028309830267,0.07516033717441735,0.06944663449101769,0.06454917504810373,0.0604679588456754,0.05720298588373274,0.054754256162275736,0.05312176968130441,0.05230552644081875,0.05230552644081875,0.05312176968130441,0.05475425616227575,0.05720298588373274,0.06046795884567538,0.06454917504810373,0.06944663449101769,0.07516033717441739,0.08169028309830267,0.08903647226267362,0.09719890466753031,0.10617758031287258,0.11597249919870063,0.12658366132501422,0.13801106669181362,0.1502547152990985,0.1633146071468691,0.1771907422351255,0.19188312056386736,0.20739174213309514,0.22371660694280832,0.24085771499300723,0.25881506628369194,0.27758866081486216,0.29717849858651824,0.31758457959865977,0.3388069038512869,0.36084547134440004,0.38370028207799856,0.407371336052083,0.4318586332666528,0.4571621737217086,0.4832819574172497,0.5102179843532766,0.5379702545297893,0.5665387679467875,0.5959235246042716,0.626124524502241,0.6571417676406961,0.6889752540196372,0.7216249836390637,0.7550909564989762,0.7893731725993739,0.8244716319402577,0.8603863345216268,0.8971172803434816,0.9346644694058224,0.9730279017086485,1.0122075772519608,1.052203496035758],[1.0441874102725035,1.004191491488706,0.9650118159453941,0.926648383642568,0.8891011945802274,0.8523702487583724,0.8164555461770031,0.7813570868361195,0.7470748707357215,0.7136088978758093,0.6809591682563828,0.6491256818774419,0.6181084387389866,0.587907438841017,0.5585226821835331,0.5299541687665349,0.5022018985900221,0.4752658716539953,0.449146087958454,0.4238425475033984,0.39935525028882857,0.37568419631474415,0.3528293855811456,0.3307908180880326,0.30956849383540536,0.2891624128232637,0.2695725750516077,0.25079898052043753,0.2328416292297529,0.2157005211795539,0.19937565636984061,0.18386703480061295,0.16917465647187097,0.15529852138361475,0.1422386295358441,0.1299949809285591,0.11856757556175979,0.10795641343544615,0.09816149454961821,0.08918281890427589,0.08102038649941923,0.07367419733504824,0.06714425141116293,0.06143054872776326,0.0565330892848493,0.05245187308242097,0.04918690012047831,0.046738170399021305,0.04510568391804998,0.044289440677564317,0.044289440677564317,0.04510568391804998,0.04673817039902132,0.04918690012047831,0.05245187308242095,0.0565330892848493,0.06143054872776326,0.06714425141116295,0.07367419733504824,0.0810203864994192,0.08918281890427589,0.09816149454961816,0.10795641343544621,0.11856757556175979,0.12999498092855918,0.1422386295358441,0.15529852138361466,0.16917465647187105,0.18386703480061295,0.1993756563698407,0.2157005211795539,0.2328416292297528,0.25079898052043753,0.2695725750516077,0.2891624128232638,0.30956849383540536,0.3307908180880325,0.3528293855811456,0.37568419631474415,0.39935525028882857,0.4238425475033984,0.4491460879584542,0.4752658716539953,0.5022018985900221,0.5299541687665349,0.5585226821835331,0.5879074388410171,0.6181084387389866,0.6491256818774417,0.6809591682563828,0.7136088978758093,0.7470748707357218,0.7813570868361195,0.8164555461770033,0.8523702487583724,0.8891011945802272,0.926648383642568,0.9650118159453941,1.0041914914887062,1.0441874102725035],[1.037037037037037,0.9970411182532395,0.9578614427099276,0.9194980104071014,0.8819508213447609,0.8452198755229059,0.8093051729415366,0.774206713600653,0.739924497500255,0.7064585246403428,0.6738087950209163,0.6419753086419754,0.61095806550352,0.5807570656055505,0.5513723089480665,0.5228037955310684,0.49505152535455554,0.46811549841852873,0.44199571472298743,0.4166921742679318,0.392204877053362,0.36853382307927757,0.34567901234567905,0.32364044485256604,0.3024181205999388,0.28201203958779714,0.2624222018161412,0.24364860728497095,0.22569125599428635,0.20855014794408733,0.19222528313437404,0.17671666156514637,0.16202428323640441,0.1481481481481482,0.13508825630037752,0.12284460769309255,0.11141720232629324,0.10080604019997959,0.09101112131415165,0.08203244566880932,0.07387001326395268,0.06652382409958169,0.05999387817569636,0.0542801754922967,0.04938271604938274,0.04530149984695441,0.04203652688501175,0.03958779716355475,0.03795531068258342,0.03713906744209776,0.03713906744209776,0.03795531068258342,0.03958779716355476,0.04203652688501175,0.04530149984695439,0.04938271604938274,0.0542801754922967,0.059993878175696395,0.06652382409958169,0.07387001326395264,0.08203244566880932,0.0910111213141516,0.10080604019997964,0.11141720232629324,0.12284460769309262,0.13508825630037752,0.1481481481481481,0.1620242832364045,0.17671666156514637,0.19222528313437415,0.20855014794408733,0.22569125599428624,0.24364860728497095,0.2624222018161412,0.28201203958779725,0.3024181205999388,0.32364044485256593,0.34567901234567905,0.36853382307927757,0.392204877053362,0.4166921742679318,0.4419957147229876,0.46811549841852873,0.49505152535455554,0.5228037955310684,0.5513723089480665,0.5807570656055506,0.61095806550352,0.6419753086419752,0.6738087950209163,0.7064585246403428,0.7399244975002552,0.774206713600653,0.8093051729415368,0.8452198755229059,0.8819508213447607,0.9194980104071014,0.9578614427099276,0.9970411182532397,1.037037037037037],[1.0307029070420561,0.9907069882582585,0.9515273127149466,0.9131638804121205,0.8756166913497799,0.8388857455279249,0.8029710429465556,0.767872583605672,0.7335903675052741,0.7001243946453618,0.6674746650259353,0.6356411786469944,0.6046239355085391,0.5744229356105696,0.5450381789530856,0.5164696655360874,0.48871739535957465,0.46178136842354783,0.43566158472800653,0.4103580442729509,0.3858707470583811,0.36219969308429667,0.33934488235069815,0.31730631485758515,0.2960839906049579,0.27567790959281624,0.2560880718211602,0.23731447728999003,0.2193571259993054,0.2022160179491064,0.1858911531393931,0.17038253157016545,0.1556901532414235,0.14181401815316724,0.1287541263053966,0.11651047769811161,0.1050830723313123,0.09447191020499865,0.08467699131917072,0.0756983156738284,0.06753588326897174,0.06018969410460075,0.05365974818071542,0.047946045497315765,0.0430485860544018,0.03896736985197347,0.03570239689003081,0.033253667168573815,0.03162118068760249,0.03080493744711682,0.030804937447116824,0.03162118068760249,0.03325366716857383,0.03570239689003081,0.03896736985197345,0.0430485860544018,0.047946045497315765,0.053659748180715464,0.06018969410460075,0.0675358832689717,0.0756983156738284,0.08467699131917067,0.0944719102049987,0.1050830723313123,0.11651047769811168,0.1287541263053966,0.1418140181531672,0.15569015324142357,0.17038253157016545,0.1858911531393932,0.2022160179491064,0.2193571259993053,0.23731447728999003,0.2560880718211602,0.27567790959281635,0.2960839906049579,0.31730631485758504,0.33934488235069815,0.36219969308429667,0.3858707470583811,0.4103580442729509,0.4356615847280067,0.46178136842354783,0.48871739535957465,0.5164696655360874,0.5450381789530856,0.5744229356105697,0.6046239355085391,0.6356411786469942,0.6674746650259353,0.7001243946453618,0.7335903675052743,0.767872583605672,0.8029710429465559,0.8388857455279249,0.8756166913497797,0.9131638804121205,0.9515273127149466,0.9907069882582588,1.0307029070420561],[1.0251355510002587,0.9851396322164611,0.9459599566731491,0.907596524370323,0.8700493353079825,0.8333183894861275,0.7974036869047582,0.7623052275638745,0.7280230114634766,0.6945570386035643,0.6619073089841379,0.630073822605197,0.5990565794667416,0.5688555795687721,0.5394708229112881,0.5109023094942899,0.48315003931777717,0.45621401238175036,0.43009422868620906,0.40479068823115344,0.3803033910165836,0.3566323370424992,0.3337775263089007,0.31173895881578767,0.2905166345631604,0.27011055355101876,0.2505207157793628,0.2317471212481926,0.21378976995750798,0.19664866190730898,0.1803237970975957,0.16481517552836802,0.15012279719962604,0.13624666211136982,0.12318677026359917,0.11094312165631419,0.09951571628951487,0.08890455416320123,0.07910963527737329,0.07013095963203096,0.061968527227174316,0.054622338062803324,0.048092392138918,0.04237868945551834,0.03748123001260437,0.033400013810176044,0.03013504084823338,0.027686311126776386,0.026053824645805055,0.02523758140531939,0.025237581405319395,0.026053824645805055,0.027686311126776397,0.03013504084823338,0.03340001381017602,0.03748123001260437,0.04237868945551834,0.04809239213891803,0.054622338062803324,0.061968527227174275,0.07013095963203096,0.07910963527737323,0.08890455416320128,0.09951571628951487,0.11094312165631426,0.12318677026359917,0.13624666211136974,0.15012279719962612,0.16481517552836802,0.18032379709759577,0.19664866190730898,0.21378976995750787,0.2317471212481926,0.2505207157793628,0.2701105535510189,0.2905166345631604,0.31173895881578756,0.3337775263089007,0.3566323370424992,0.3803033910165836,0.40479068823115344,0.4300942286862092,0.45621401238175036,0.48315003931777717,0.5109023094942899,0.5394708229112881,0.5688555795687722,0.5990565794667416,0.6300738226051967,0.6619073089841379,0.6945570386035643,0.7280230114634768,0.7623052275638745,0.7974036869047584,0.8333183894861275,0.8700493353079822,0.907596524370323,0.9459599566731491,0.9851396322164613,1.0251355510002587],[1.0202854996243427,0.980289580840545,0.941109905297233,0.9027464729944069,0.8651992839320664,0.8284683381102114,0.7925536355288421,0.7574551761879584,0.7231729600875605,0.6897069872276482,0.6570572576082218,0.6252237712292809,0.5942065280908255,0.564005528192856,0.534620771535372,0.5060522581183738,0.4782999879418611,0.4513639610058343,0.425244177310293,0.3999406368552374,0.37545333964066757,0.35178228566658315,0.32892747493298463,0.3068889074398716,0.28566658318724436,0.2652605021751027,0.2456706644034467,0.2268970698722765,0.20893971858159188,0.19179861053139288,0.1754737457216796,0.15996512415245193,0.14527274582370997,0.13139661073545372,0.11833671888768307,0.10609307028039809,0.09466566491359878,0.08405450278728513,0.0742595839014572,0.06528090825611488,0.05711847585125822,0.04977228668688723,0.0432423407630019,0.037528638079602245,0.03263117863668828,0.028549962434259953,0.02528498947231729,0.022836259750860295,0.021203773269888964,0.0203875300294033,0.020387530029403304,0.021203773269888964,0.022836259750860306,0.02528498947231729,0.028549962434259932,0.03263117863668828,0.037528638079602245,0.043242340763001944,0.04977228668688723,0.05711847585125818,0.06528090825611488,0.07425958390145715,0.08405450278728518,0.09466566491359878,0.10609307028039816,0.11833671888768307,0.13139661073545367,0.14527274582371005,0.15996512415245193,0.17547374572167967,0.19179861053139288,0.20893971858159177,0.2268970698722765,0.2456706644034467,0.26526050217510283,0.28566658318724436,0.3068889074398715,0.32892747493298463,0.35178228566658315,0.37545333964066757,0.3999406368552374,0.4252441773102932,0.4513639610058343,0.4782999879418611,0.5060522581183738,0.534620771535372,0.5640055281928561,0.5942065280908255,0.6252237712292806,0.6570572576082218,0.6897069872276482,0.7231729600875607,0.7574551761879584,0.7925536355288423,0.8284683381102114,0.8651992839320661,0.9027464729944069,0.941109905297233,0.9802895808405452,1.0202854996243427],[1.0161032836270056,0.976107364843208,0.9369276892998961,0.89856425699707,0.8610170679347294,0.8242861221128744,0.7883714195315051,0.7532729601906215,0.7189907440902236,0.6855247712303113,0.6528750416108848,0.6210415552319439,0.5900243120934886,0.5598233121955191,0.5304385555380351,0.5018700421210369,0.4741177719445242,0.4471817450084974,0.4210619613129561,0.3957584208579005,0.37127112364333065,0.3476000696692462,0.3247452589356477,0.3027066914425347,0.28148436718990744,0.2610782861777658,0.2414884484061098,0.2227148538749396,0.20475750258425499,0.18761639453405599,0.1712915297243427,0.15578290815511503,0.14109052982637305,0.12721439473811683,0.11415450289034618,0.1019108542830612,0.09048344891626188,0.07987228678994823,0.0700773679041203,0.06109869225877797,0.05293625985392132,0.04559007068955033,0.039060124765665005,0.03334642208226535,0.02844896263935138,0.02436774643692305,0.021102773474980387,0.01865404375352339,0.01702155727255206,0.016205314032066397,0.0162053140320664,0.01702155727255206,0.018654043753523402,0.021102773474980387,0.024367746436923028,0.02844896263935138,0.03334642208226535,0.03906012476566503,0.04559007068955033,0.05293625985392128,0.06109869225877797,0.07007736790412024,0.07987228678994829,0.09048344891626188,0.10191085428306126,0.11415450289034618,0.12721439473811674,0.14109052982637313,0.15578290815511503,0.17129152972434278,0.18761639453405599,0.20475750258425487,0.2227148538749396,0.2414884484061098,0.2610782861777659,0.28148436718990744,0.3027066914425346,0.3247452589356477,0.3476000696692462,0.37127112364333065,0.3957584208579005,0.42106196131295626,0.4471817450084974,0.4741177719445242,0.5018700421210369,0.5304385555380351,0.5598233121955192,0.5900243120934886,0.6210415552319437,0.6528750416108848,0.6855247712303113,0.7189907440902238,0.7532729601906215,0.7883714195315054,0.8242861221128744,0.8610170679347292,0.89856425699707,0.9369276892998961,0.9761073648432083,1.0161032836270056],[1.012539433720946,0.9725435149371482,0.9333638393938363,0.8950004070910101,0.8574532180286696,0.8207222722068146,0.7848075696254453,0.7497091102845617,0.7154268941841637,0.6819609213242515,0.649311191704825,0.6174777053258841,0.5864604621874288,0.5562594622894592,0.5268747056319752,0.4983061922149771,0.47055392203846436,0.44361789510243754,0.4174981114068962,0.3921945709518406,0.36770727373727075,0.3440362197631863,0.3211814090295878,0.29914284153647486,0.2779205172838476,0.2575144362717059,0.23792459850004993,0.21915100396887974,0.2011936526781951,0.1840525446279961,0.16772767981828282,0.15221905824905516,0.1375266799203132,0.12365054483205695,0.1105906529842863,0.09834700437700132,0.086919599010202,0.07630843688388836,0.06651351799806043,0.0575348423527181,0.04937240994786145,0.042026220783490456,0.03549627485960513,0.029782572176205474,0.024885112733291512,0.020803896530863182,0.01753892356892052,0.015090193847463521,0.01345770736649219,0.012641464126006526,0.01264146412600653,0.01345770736649219,0.015090193847463532,0.01753892356892052,0.02080389653086316,0.024885112733291512,0.029782572176205474,0.035496274859605166,0.042026220783490456,0.049372409947861406,0.0575348423527181,0.06651351799806038,0.07630843688388841,0.086919599010202,0.09834700437700139,0.1105906529842863,0.12365054483205688,0.13752667992031326,0.15221905824905516,0.1677276798182829,0.1840525446279961,0.201193652678195,0.21915100396887974,0.23792459850004993,0.257514436271706,0.2779205172838476,0.29914284153647475,0.3211814090295878,0.3440362197631863,0.36770727373727075,0.3921945709518406,0.4174981114068964,0.44361789510243754,0.47055392203846436,0.4983061922149771,0.5268747056319752,0.5562594622894593,0.5864604621874288,0.6174777053258839,0.649311191704825,0.6819609213242515,0.7154268941841639,0.7497091102845617,0.7848075696254455,0.8207222722068146,0.8574532180286694,0.8950004070910101,0.9333638393938363,0.9725435149371484,1.012539433720946],[1.0095444806188607,0.9695485618350632,0.9303688862917513,0.8920054539889252,0.8544582649265846,0.8177273191047296,0.7818126165233603,0.7467141571824767,0.7124319410820787,0.6789659682221665,0.64631623860274,0.6144827522237991,0.5834655090853438,0.5532645091873742,0.5238797525298903,0.49531123911289204,0.46755896893637927,0.44062294200035246,0.41450315830481116,0.38919961784975554,0.3647123206351857,0.3410412666611013,0.3181864559275028,0.29614788843438977,0.2749255641817625,0.25451948316962086,0.2349296453979649,0.2161560508667947,0.19819869957611008,0.18105759152591108,0.1647327267161978,0.14922410514697013,0.13453172681822814,0.12065559172997192,0.10759569988220127,0.09535205127491629,0.08392464590811698,0.07331348378180333,0.06351856489597539,0.05453988925063307,0.04637745684577642,0.03903126768140543,0.0325013217575201,0.026787619074120445,0.02189015963120648,0.01780894342877815,0.014543970466835487,0.01209524074537849,0.010462754264407159,0.009646511023921495,0.009646511023921498,0.010462754264407159,0.0120952407453785,0.014543970466835487,0.01780894342877813,0.02189015963120648,0.026787619074120445,0.03250132175752014,0.03903126768140543,0.04637745684577638,0.05453988925063307,0.06351856489597534,0.07331348378180338,0.08392464590811698,0.09535205127491636,0.10759569988220127,0.12065559172997185,0.13453172681822823,0.14922410514697013,0.16473272671619787,0.18105759152591108,0.19819869957610997,0.2161560508667947,0.2349296453979649,0.254519483169621,0.2749255641817625,0.29614788843438966,0.3181864559275028,0.3410412666611013,0.3647123206351857,0.38919961784975554,0.4145031583048113,0.44062294200035246,0.46755896893637927,0.49531123911289204,0.5238797525298903,0.5532645091873744,0.5834655090853438,0.6144827522237989,0.64631623860274,0.6789659682221665,0.712431941082079,0.7467141571824767,0.7818126165233605,0.8177273191047296,0.8544582649265844,0.8920054539889252,0.9303688862917513,0.9695485618350634,1.0095444806188607],[1.0070689550334484,0.9670730362496509,0.9278933607063389,0.8895299284035127,0.8519827393411723,0.8152517935193173,0.779337090937948,0.7442386315970644,0.7099564154966664,0.6764904426367542,0.6438407130173276,0.6120072266383867,0.5809899834999315,0.5507889836019619,0.5214042269444779,0.49283571352747974,0.46508344335096696,0.43814741641494015,0.41202763271939885,0.38672409226434323,0.3622367950497734,0.338565741075689,0.31571093034209047,0.29367236284897746,0.2724500385963502,0.25204395758420856,0.23245411981255257,0.21368052528138237,0.19572317399069775,0.17858206594049875,0.16225720113078546,0.1467485795615578,0.1320562012328158,0.11818006614455959,0.10512017429678894,0.09287652568950396,0.08144912032270464,0.070837958196391,0.06104303931056306,0.052064363665220735,0.04390193126036408,0.03655574209599309,0.030025796172107766,0.02431209348870811,0.019414634045794146,0.015333417843365815,0.012068444881423153,0.009619715159966156,0.007987228678994825,0.007170985438509162,0.007170985438509163,0.007987228678994825,0.009619715159966166,0.012068444881423153,0.015333417843365794,0.019414634045794146,0.02431209348870811,0.0300257961721078,0.03655574209599309,0.04390193126036404,0.052064363665220735,0.061043039310563006,0.07083795819639105,0.08144912032270464,0.09287652568950402,0.10512017429678894,0.11818006614455952,0.13205620123281592,0.1467485795615578,0.16225720113078554,0.17858206594049875,0.19572317399069764,0.21368052528138237,0.23245411981255257,0.25204395758420867,0.2724500385963502,0.29367236284897735,0.31571093034209047,0.338565741075689,0.3622367950497734,0.38672409226434323,0.412027632719399,0.43814741641494015,0.46508344335096696,0.49283571352747974,0.5214042269444779,0.5507889836019619,0.5809899834999315,0.6120072266383865,0.6438407130173276,0.6764904426367542,0.7099564154966667,0.7442386315970644,0.7793370909379482,0.8152517935193173,0.8519827393411721,0.8895299284035127,0.9278933607063389,0.9670730362496511,1.0070689550334484],[1.0050633876774067,0.9650674688936091,0.9258877933502971,0.887524361047471,0.8499771719851305,0.8132462261632755,0.7773315235819062,0.7422330642410225,0.7079508481406246,0.6744848752807123,0.6418351456612859,0.610001659282345,0.5789844161438896,0.5487834162459201,0.5193986595884361,0.49083014617143794,0.46307787599492517,0.43614184905889836,0.41002206536335706,0.38471852490830144,0.3602312276937316,0.3365601737196472,0.3137053629860487,0.29166679549293567,0.2704444712403084,0.25003839022816676,0.23044855245651077,0.21167495792534058,0.19371760663465595,0.17657649858445695,0.16025163377474366,0.144743012205516,0.130050633876774,0.1161744987885178,0.10311460694074714,0.09087095833346216,0.07944355296666285,0.0688323908403492,0.05903747195452126,0.050058796309178935,0.04189636390432228,0.03455017473995129,0.028020228816065966,0.02230652613266631,0.017409066689752346,0.013327850487324017,0.010062877525381354,0.007614147803924356,0.005981661322953026,0.0051654180824673625,0.005165418082467364,0.005981661322953026,0.007614147803924368,0.010062877525381354,0.013327850487323996,0.017409066689752346,0.02230652613266631,0.028020228816066,0.03455017473995129,0.04189636390432224,0.050058796309178935,0.059037471954521206,0.06883239084034926,0.07944355296666285,0.09087095833346223,0.10311460694074714,0.11617449878851772,0.1300506338767741,0.144743012205516,0.16025163377474375,0.17657649858445695,0.19371760663465584,0.21167495792534058,0.23044855245651077,0.2500383902281669,0.2704444712403084,0.29166679549293556,0.3137053629860487,0.3365601737196472,0.3602312276937316,0.38471852490830144,0.4100220653633572,0.43614184905889836,0.46307787599492517,0.49083014617143794,0.5193986595884361,0.5487834162459202,0.5789844161438896,0.6100016592823447,0.6418351456612859,0.6744848752807123,0.7079508481406248,0.7422330642410225,0.7773315235819064,0.8132462261632755,0.8499771719851302,0.887524361047471,0.9258877933502971,0.9650674688936093,1.0050633876774067],[1.0034783092634332,0.9634823904796356,0.9243027149363237,0.8859392826334975,0.848392093571157,0.811661147749302,0.7757464451679327,0.740647985827049,0.7063657697266511,0.6728997968667388,0.6402500672473124,0.6084165808683715,0.5773993377299161,0.5471983378319466,0.5178135811744626,0.4892450677574645,0.46149279758095174,0.43455677064492493,0.40843698694938363,0.383133446494328,0.3586461492797582,0.33497509530567376,0.31212028457207525,0.29008171707896224,0.268859392826335,0.24845331181419333,0.22886347404253735,0.21008987951136715,0.19213252822068252,0.17499142017048352,0.15866655536077023,0.14315793379154257,0.12846555546280058,0.11458942037454437,0.10152952852677372,0.08928587991948873,0.07785847455268942,0.06724731242637577,0.05745239354054783,0.048473717895205506,0.04031128549034886,0.03296509632597787,0.02643515040209254,0.020721447718692883,0.015823988275778918,0.01174277207335059,0.008477799111407927,0.006029069389950931,0.0043965829089796,0.003580339668493936,0.0035803396684939382,0.0043965829089796,0.006029069389950941,0.008477799111407927,0.011742772073350569,0.015823988275778918,0.020721447718692883,0.026435150402092576,0.03296509632597787,0.04031128549034882,0.048473717895205506,0.05745239354054778,0.06724731242637583,0.07785847455268942,0.0892858799194888,0.10152952852677372,0.1145894203745443,0.12846555546280067,0.14315793379154257,0.15866655536077032,0.17499142017048352,0.1921325282206824,0.21008987951136715,0.22886347404253735,0.24845331181419344,0.268859392826335,0.29008171707896213,0.31212028457207525,0.33497509530567376,0.3586461492797582,0.383133446494328,0.4084369869493838,0.43455677064492493,0.46149279758095174,0.4892450677574645,0.5178135811744626,0.5471983378319467,0.5773993377299161,0.6084165808683712,0.6402500672473124,0.6728997968667388,0.7063657697266513,0.740647985827049,0.7757464451679329,0.811661147749302,0.8483920935711567,0.8859392826334975,0.9243027149363237,0.9634823904796358,1.0034783092634332],[1.002264250504226,0.9622683317204284,0.9230886561771164,0.8847252238742903,0.8471780348119498,0.8104470889900948,0.7745323864087255,0.7394339270678418,0.7051517109674439,0.6716857381075316,0.6390360084881052,0.6072025221091643,0.5761852789707089,0.5459842790727394,0.5165995224152554,0.4880310089982573,0.4602787388217445,0.4333427118857177,0.4072229281901764,0.3819193877351208,0.35743209052055097,0.33376103654646655,0.31090622581286803,0.288867658319755,0.26764533406712776,0.24723925305498612,0.22764941528333013,0.20887582075215994,0.1909184694614753,0.1737773614112763,0.15745249660156302,0.14194387503233535,0.12725149670359337,0.11337536161533715,0.1003154697675665,0.08807182116028152,0.0766444157934822,0.06603325366716856,0.056238334781340625,0.0472596591359983,0.039097226731141646,0.031751037566770654,0.025221091642885326,0.01950738895948567,0.014609929516571706,0.010528713314143377,0.007263740352200713,0.004815010630743716,0.0031825241497723863,0.002366280909286722,0.002366280909286724,0.0031825241497723863,0.004815010630743728,0.007263740352200713,0.010528713314143356,0.014609929516571706,0.01950738895948567,0.02522109164288536,0.031751037566770654,0.039097226731141604,0.0472596591359983,0.05623833478134057,0.06603325366716861,0.0766444157934822,0.08807182116028159,0.1003154697675665,0.11337536161533708,0.12725149670359345,0.14194387503233535,0.1574524966015631,0.1737773614112763,0.1909184694614752,0.20887582075215994,0.22764941528333013,0.24723925305498623,0.26764533406712776,0.2888676583197549,0.31090622581286803,0.33376103654646655,0.35743209052055097,0.3819193877351208,0.4072229281901766,0.4333427118857177,0.4602787388217445,0.4880310089982573,0.5165995224152554,0.5459842790727395,0.5761852789707089,0.607202522109164,0.6390360084881052,0.6716857381075316,0.7051517109674441,0.7394339270678418,0.7745323864087257,0.8104470889900948,0.8471780348119495,0.8847252238742903,0.9230886561771164,0.9622683317204286,1.002264250504226],[1.0013717421124828,0.9613758233286852,0.9221961477853733,0.8838327154825472,0.8462855264202066,0.8095545805983516,0.7736398780169823,0.7385414186760987,0.7042592025757007,0.6707932297157885,0.638143500096362,0.6063100137174211,0.5752927705789658,0.5450917706809962,0.5157070140235123,0.48713850060651415,0.4593862304300014,0.43245020349397456,0.40633041979843326,0.38102687934337764,0.3565395821288078,0.3328685281547234,0.3100137174211249,0.2879751499280119,0.2667528256753846,0.24634674466324297,0.22675690689158698,0.20798331236041678,0.19002596106973216,0.17288485301953316,0.15655998820981987,0.1410513666405922,0.12635898831185022,0.11248285322359398,0.09942296137582333,0.08717931276853835,0.07575190740173904,0.06514074527542539,0.055345826389597466,0.04636715074425514,0.03820471833939848,0.03085852917502749,0.024328583251142167,0.01861488056774251,0.013717421124828546,0.009636204922400216,0.0063712319604575535,0.003922502239000557,0.0022900157580292265,0.0014737725175435622,0.0014737725175435646,0.0022900157580292265,0.003922502239000567,0.0063712319604575535,0.009636204922400195,0.013717421124828546,0.01861488056774251,0.0243285832511422,0.03085852917502749,0.03820471833939844,0.04636715074425514,0.05534582638959741,0.06514074527542545,0.07575190740173904,0.08717931276853842,0.09942296137582333,0.11248285322359391,0.1263589883118503,0.1410513666405922,0.15655998820981995,0.17288485301953316,0.19002596106973205,0.20798331236041678,0.22675690689158698,0.24634674466324308,0.2667528256753846,0.28797514992801176,0.3100137174211249,0.3328685281547234,0.3565395821288078,0.38102687934337764,0.40633041979843343,0.43245020349397456,0.4593862304300014,0.48713850060651415,0.5157070140235123,0.5450917706809963,0.5752927705789658,0.6063100137174209,0.638143500096362,0.6707932297157885,0.704259202575701,0.7385414186760987,0.7736398780169825,0.8095545805983516,0.8462855264202064,0.8838327154825472,0.9221961477853733,0.9613758233286854,1.0013717421124828],[1.0007513148009015,0.960755396017104,0.9215757204737921,0.883212288170966,0.8456650991086254,0.8089341532867704,0.7730194507054011,0.7379209913645175,0.7036387752641196,0.6701728024042073,0.6375230727847808,0.6056895864058399,0.5746723432673846,0.544471343369415,0.5150865867119311,0.48651807329493285,0.4587658031184201,0.43182977618239327,0.40570999248685197,0.38040645203179635,0.3559191548172265,0.3322481008431421,0.3093932901095436,0.2873547226164306,0.2661323983638033,0.24572631735166167,0.22613647958000568,0.2073628850488355,0.18940553375815086,0.17226442570795186,0.15593956089823857,0.1404309393290109,0.12573856100026895,0.11186242591201272,0.09880253406424207,0.08655888545695709,0.07513148009015777,0.06452031796384412,0.054725399078016185,0.04574672343267386,0.037584291027817206,0.030238101863446214,0.02370815593956089,0.01799445325616123,0.01309699381324727,0.00901577761081894,0.005750804648876277,0.0033020749274192797,0.0016695884464479499,0.0008533452059622858,0.000853345205962288,0.0016695884464479499,0.003302074927419291,0.005750804648876277,0.009015777610818919,0.01309699381324727,0.01799445325616123,0.023708155939560924,0.030238101863446214,0.037584291027817164,0.04574672343267386,0.05472539907801613,0.06452031796384418,0.07513148009015777,0.08655888545695715,0.09880253406424207,0.11186242591201265,0.12573856100026903,0.1404309393290109,0.15593956089823865,0.17226442570795186,0.18940553375815075,0.2073628850488355,0.22613647958000568,0.24572631735166178,0.2661323983638033,0.28735472261643047,0.3093932901095436,0.3322481008431421,0.3559191548172265,0.38040645203179635,0.40570999248685213,0.43182977618239327,0.4587658031184201,0.48651807329493285,0.5150865867119311,0.5444713433694152,0.5746723432673846,0.6056895864058397,0.6375230727847808,0.6701728024042073,0.7036387752641198,0.7379209913645175,0.7730194507054013,0.8089341532867704,0.8456650991086252,0.883212288170966,0.9215757204737921,0.9607553960171042,1.0007513148009015],[1.00035349928218,0.9603575804983824,0.9211779049550705,0.8828144726522443,0.8452672835899038,0.8085363377680488,0.7726216351866795,0.7375231758457959,0.7032409597453979,0.6697749868854856,0.6371252572660592,0.6052917708871183,0.5742745277486629,0.5440735278506934,0.5146887711932094,0.4861202577762113,0.45836798759969855,0.43143196066367173,0.40531217696813043,0.3800086365130748,0.355521339298505,0.33185028532442057,0.30899547459082205,0.28695690709770905,0.2657345828450818,0.24532850183294014,0.22573866406128415,0.20696506953011395,0.18900771823942933,0.17186661018923033,0.15554174537951704,0.14003312381028937,0.1253407454815474,0.11146461039329116,0.0984047185455205,0.08616106993823552,0.07473366457143621,0.06412250244512256,0.05432758355929464,0.04534890791395231,0.03718647550909566,0.029840286344724666,0.02331034042083934,0.017596637737439684,0.01269917829452572,0.00861796209209739,0.005352989130154728,0.0029042594086977304,0.0012717729277264005,0.00045552968724073636,0.0004555296872407386,0.0012717729277264005,0.0029042594086977416,0.005352989130154728,0.00861796209209737,0.01269917829452572,0.017596637737439684,0.023310340420839376,0.029840286344724666,0.037186475509095616,0.04534890791395231,0.05432758355929458,0.06412250244512262,0.07473366457143621,0.0861610699382356,0.0984047185455205,0.11146461039329109,0.12534074548154747,0.14003312381028937,0.15554174537951712,0.17186661018923033,0.18900771823942922,0.20696506953011395,0.22573866406128415,0.24532850183294025,0.2657345828450818,0.28695690709770894,0.30899547459082205,0.33185028532442057,0.355521339298505,0.3800086365130748,0.4053121769681306,0.43143196066367173,0.45836798759969855,0.4861202577762113,0.5146887711932094,0.5440735278506935,0.5742745277486629,0.605291770887118,0.6371252572660592,0.6697749868854856,0.7032409597453981,0.7375231758457959,0.7726216351866797,0.8085363377680488,0.8452672835899036,0.8828144726522443,0.9211779049550705,0.9603575804983826,1.00035349928218],[1.000128826269016,0.9601329074852184,0.9209532319419065,0.8825897996390804,0.8450426105767398,0.8083116647548848,0.7723969621735155,0.7372985028326319,0.7030162867322339,0.6695503138723217,0.6369005842528952,0.6050670978739543,0.574049854735499,0.5438488548375294,0.5144640981800455,0.48589558476304734,0.45814331458653457,0.43120728765050775,0.40508750395496645,0.37978396349991084,0.355296666285341,0.3316256123112566,0.30877080157765807,0.28673223408454507,0.2655099098319178,0.24510382881977616,0.22551399104812017,0.20674039651694998,0.18878304522626535,0.17164193717606635,0.15531707236635306,0.1398084507971254,0.1251160724683834,0.11123993738012718,0.09818004553235653,0.08593639692507155,0.07450899155827223,0.06389782943195858,0.05410291054613065,0.045124234900788325,0.03696180249593167,0.02961561333156068,0.023085667407675356,0.0173719647242757,0.012474505281361736,0.008393289078933407,0.005128316116990744,0.0026795863955337467,0.0010470999145624168,0.00023085667407675268,0.0002308566740767549,0.0010470999145624168,0.002679586395533758,0.005128316116990744,0.008393289078933386,0.012474505281361736,0.0173719647242757,0.02308566740767539,0.02961561333156068,0.03696180249593163,0.045124234900788325,0.054102910546130596,0.06389782943195864,0.07450899155827223,0.08593639692507161,0.09818004553235653,0.11123993738012711,0.1251160724683835,0.1398084507971254,0.15531707236635314,0.17164193717606635,0.18878304522626524,0.20674039651694998,0.22551399104812017,0.24510382881977627,0.2655099098319178,0.28673223408454496,0.30877080157765807,0.3316256123112566,0.355296666285341,0.37978396349991084,0.4050875039549666,0.43120728765050775,0.45814331458653457,0.48589558476304734,0.5144640981800455,0.5438488548375295,0.574049854735499,0.6050670978739541,0.6369005842528952,0.6695503138723217,0.7030162867322342,0.7372985028326319,0.7723969621735157,0.8083116647548848,0.8450426105767396,0.8825897996390804,0.9209532319419065,0.9601329074852186,1.000128826269016],[1.0000278264741074,0.9600319076903099,0.920852232146998,0.8824887998441718,0.8449416107818313,0.8082106649599763,0.772295962378607,0.7371975030377234,0.7029152869373254,0.6694493140774131,0.6367995844579867,0.6049660980790458,0.5739488549405904,0.5437478550426209,0.5143630983851369,0.48579458496813877,0.458042314791626,0.4311062878555992,0.4049865041600579,0.37968296370500226,0.35519566649043244,0.331524612516348,0.3086698017827495,0.2866312342896365,0.2654089100370092,0.24500282902486756,0.22541299125321157,0.20663939672204137,0.18868204543135675,0.17154093738115775,0.15521607257144446,0.1397074510022168,0.12501507267347484,0.1111389375852186,0.09807904573744795,0.08583539713016297,0.07440799176336366,0.06379682963705001,0.05400191075122207,0.045023235105879744,0.03686080270102309,0.029514613536652103,0.02298466761276678,0.01727096492936712,0.012373505486453155,0.008292289284024826,0.005027316322082164,0.002578586600625167,0.0009461001196538369,0.00012985687916817294,0.00012985687916817516,0.0009461001196538369,0.0025785866006251784,0.005027316322082164,0.008292289284024805,0.012373505486453155,0.01727096492936712,0.022984667612766813,0.029514613536652103,0.03686080270102305,0.045023235105879744,0.054001910751222015,0.06379682963705006,0.07440799176336366,0.08583539713016304,0.09807904573744795,0.11113893758521853,0.12501507267347492,0.1397074510022168,0.15521607257144454,0.17154093738115775,0.18868204543135664,0.20663939672204137,0.22541299125321157,0.24500282902486767,0.2654089100370092,0.2866312342896364,0.3086698017827495,0.331524612516348,0.35519566649043244,0.37968296370500226,0.40498650416005805,0.4311062878555992,0.458042314791626,0.48579458496813877,0.5143630983851369,0.543747855042621,0.5739488549405904,0.6049660980790456,0.6367995844579867,0.6694493140774131,0.7029152869373256,0.7371975030377234,0.7722959623786072,0.8082106649599763,0.844941610781831,0.8824887998441718,0.920852232146998,0.9600319076903101,1.0000278264741074],[1.000001030610152,0.9600051118263545,0.9208254362830426,0.8824620039802165,0.8449148149178759,0.8081838690960209,0.7722691665146516,0.737170707173768,0.70288849107337,0.6694225182134578,0.6367727885940313,0.6049393022150904,0.5739220590766351,0.5437210591786655,0.5143363025211816,0.4857677891041834,0.4580155189276706,0.4310794919916438,0.4049597082961025,0.3796561678410469,0.35516887062647706,0.33149781665239264,0.3086430059187941,0.2866044384256811,0.26538211417305385,0.24497603316091224,0.22538619538925625,0.20661260085808605,0.18865524956740143,0.17151414151720243,0.15518927670748914,0.13968065513826147,0.12498827680951949,0.11111214172126326,0.0980522498734926,0.08580860126620762,0.07438119589940831,0.06377003377309466,0.05397511488726674,0.04499643924192441,0.03683400683706776,0.029487817672696766,0.02295787174881144,0.017244169065411784,0.012346709622497818,0.008265493420069488,0.005000520458126827,0.0025517907366698297,0.0009193042556984995,0.00010306101521283552,0.00010306101521283775,0.0009193042556984995,0.002551790736669841,0.005000520458126827,0.008265493420069468,0.012346709622497818,0.017244169065411784,0.022957871748811476,0.029487817672696766,0.036834006837067716,0.04499643924192441,0.05397511488726668,0.06377003377309472,0.07438119589940831,0.08580860126620769,0.0980522498734926,0.11111214172126319,0.12498827680951957,0.13968065513826147,0.15518927670748922,0.17151414151720243,0.18865524956740132,0.20661260085808605,0.22538619538925625,0.24497603316091235,0.26538211417305385,0.286604438425681,0.3086430059187941,0.33149781665239264,0.35516887062647706,0.3796561678410469,0.40495970829610267,0.4310794919916438,0.4580155189276706,0.4857677891041834,0.5143363025211816,0.5437210591786656,0.5739220590766351,0.6049393022150902,0.6367727885940313,0.6694225182134578,0.7028884910733703,0.737170707173768,0.7722691665146518,0.8081838690960209,0.8449148149178757,0.8824620039802165,0.9208254362830426,0.9600051118263547,1.000001030610152],[1.000001030610152,0.9600051118263545,0.9208254362830426,0.8824620039802165,0.8449148149178759,0.8081838690960209,0.7722691665146516,0.737170707173768,0.70288849107337,0.6694225182134578,0.6367727885940313,0.6049393022150904,0.5739220590766351,0.5437210591786655,0.5143363025211816,0.4857677891041834,0.4580155189276706,0.4310794919916438,0.4049597082961025,0.3796561678410469,0.35516887062647706,0.33149781665239264,0.3086430059187941,0.2866044384256811,0.26538211417305385,0.24497603316091224,0.22538619538925625,0.20661260085808605,0.18865524956740143,0.17151414151720243,0.15518927670748914,0.13968065513826147,0.12498827680951949,0.11111214172126326,0.0980522498734926,0.08580860126620762,0.07438119589940831,0.06377003377309466,0.05397511488726674,0.04499643924192441,0.03683400683706776,0.029487817672696766,0.02295787174881144,0.017244169065411784,0.012346709622497818,0.008265493420069488,0.005000520458126827,0.0025517907366698297,0.0009193042556984996,0.00010306101521283556,0.00010306101521283779,0.0009193042556984996,0.002551790736669841,0.005000520458126827,0.008265493420069468,0.012346709622497818,0.017244169065411784,0.022957871748811476,0.029487817672696766,0.036834006837067716,0.04499643924192441,0.05397511488726668,0.06377003377309472,0.07438119589940831,0.08580860126620769,0.0980522498734926,0.11111214172126319,0.12498827680951957,0.13968065513826147,0.15518927670748922,0.17151414151720243,0.18865524956740132,0.20661260085808605,0.22538619538925625,0.24497603316091235,0.26538211417305385,0.286604438425681,0.3086430059187941,0.33149781665239264,0.35516887062647706,0.3796561678410469,0.40495970829610267,0.4310794919916438,0.4580155189276706,0.4857677891041834,0.5143363025211816,0.5437210591786656,0.5739220590766351,0.6049393022150902,0.6367727885940313,0.6694225182134578,0.7028884910733703,0.737170707173768,0.7722691665146518,0.8081838690960209,0.8449148149178757,0.8824620039802165,0.9208254362830426,0.9600051118263547,1.000001030610152],[1.0000278264741074,0.9600319076903099,0.920852232146998,0.8824887998441718,0.8449416107818313,0.8082106649599763,0.772295962378607,0.7371975030377234,0.7029152869373254,0.6694493140774131,0.6367995844579867,0.6049660980790458,0.5739488549405904,0.5437478550426209,0.5143630983851369,0.48579458496813877,0.458042314791626,0.4311062878555992,0.4049865041600579,0.37968296370500226,0.35519566649043244,0.331524612516348,0.3086698017827495,0.2866312342896365,0.2654089100370092,0.24500282902486756,0.22541299125321157,0.20663939672204137,0.18868204543135675,0.17154093738115775,0.15521607257144446,0.1397074510022168,0.12501507267347484,0.1111389375852186,0.09807904573744795,0.08583539713016297,0.07440799176336366,0.06379682963705001,0.05400191075122207,0.045023235105879744,0.03686080270102309,0.029514613536652103,0.02298466761276678,0.01727096492936712,0.012373505486453155,0.008292289284024826,0.005027316322082164,0.002578586600625167,0.0009461001196538369,0.00012985687916817294,0.00012985687916817516,0.0009461001196538369,0.0025785866006251784,0.005027316322082164,0.008292289284024805,0.012373505486453155,0.01727096492936712,0.022984667612766813,0.029514613536652103,0.03686080270102305,0.045023235105879744,0.054001910751222015,0.06379682963705006,0.07440799176336366,0.08583539713016304,0.09807904573744795,0.11113893758521853,0.12501507267347492,0.1397074510022168,0.15521607257144454,0.17154093738115775,0.18868204543135664,0.20663939672204137,0.22541299125321157,0.24500282902486767,0.2654089100370092,0.2866312342896364,0.3086698017827495,0.331524612516348,0.35519566649043244,0.37968296370500226,0.40498650416005805,0.4311062878555992,0.458042314791626,0.48579458496813877,0.5143630983851369,0.543747855042621,0.5739488549405904,0.6049660980790456,0.6367995844579867,0.6694493140774131,0.7029152869373256,0.7371975030377234,0.7722959623786072,0.8082106649599763,0.844941610781831,0.8824887998441718,0.920852232146998,0.9600319076903101,1.0000278264741074],[1.000128826269016,0.9601329074852184,0.9209532319419065,0.8825897996390804,0.8450426105767398,0.8083116647548848,0.7723969621735155,0.7372985028326319,0.7030162867322339,0.6695503138723217,0.6369005842528952,0.6050670978739543,0.574049854735499,0.5438488548375294,0.5144640981800455,0.48589558476304734,0.45814331458653457,0.43120728765050775,0.40508750395496645,0.37978396349991084,0.355296666285341,0.3316256123112566,0.30877080157765807,0.28673223408454507,0.2655099098319178,0.24510382881977616,0.22551399104812017,0.20674039651694998,0.18878304522626535,0.17164193717606635,0.15531707236635306,0.1398084507971254,0.1251160724683834,0.11123993738012718,0.09818004553235653,0.08593639692507155,0.07450899155827223,0.06389782943195858,0.05410291054613065,0.045124234900788325,0.03696180249593167,0.029615613331560684,0.02308566740767536,0.017371964724275702,0.012474505281361736,0.008393289078933407,0.005128316116990745,0.0026795863955337475,0.0010470999145624175,0.00023085667407675352,0.00023085667407675577,0.0010470999145624175,0.002679586395533759,0.005128316116990745,0.008393289078933386,0.012474505281361736,0.017371964724275702,0.023085667407675394,0.029615613331560684,0.03696180249593163,0.045124234900788325,0.054102910546130596,0.06389782943195864,0.07450899155827223,0.08593639692507161,0.09818004553235653,0.11123993738012711,0.1251160724683835,0.1398084507971254,0.15531707236635314,0.17164193717606635,0.18878304522626524,0.20674039651694998,0.22551399104812017,0.24510382881977627,0.2655099098319178,0.28673223408454496,0.30877080157765807,0.3316256123112566,0.355296666285341,0.37978396349991084,0.4050875039549666,0.43120728765050775,0.45814331458653457,0.48589558476304734,0.5144640981800455,0.5438488548375295,0.574049854735499,0.6050670978739541,0.6369005842528952,0.6695503138723217,0.7030162867322342,0.7372985028326319,0.7723969621735157,0.8083116647548848,0.8450426105767396,0.8825897996390804,0.9209532319419065,0.9601329074852186,1.000128826269016],[1.00035349928218,0.9603575804983824,0.9211779049550705,0.8828144726522443,0.8452672835899038,0.8085363377680488,0.7726216351866795,0.7375231758457959,0.7032409597453979,0.6697749868854856,0.6371252572660592,0.6052917708871183,0.5742745277486629,0.5440735278506934,0.5146887711932094,0.4861202577762113,0.45836798759969855,0.43143196066367173,0.40531217696813043,0.3800086365130748,0.355521339298505,0.33185028532442057,0.30899547459082205,0.28695690709770905,0.2657345828450818,0.24532850183294014,0.22573866406128415,0.20696506953011395,0.18900771823942933,0.17186661018923033,0.15554174537951704,0.14003312381028937,0.1253407454815474,0.11146461039329116,0.0984047185455205,0.08616106993823552,0.07473366457143621,0.06412250244512256,0.05432758355929464,0.04534890791395231,0.03718647550909566,0.029840286344724666,0.02331034042083934,0.017596637737439684,0.01269917829452572,0.00861796209209739,0.005352989130154728,0.0029042594086977304,0.0012717729277264005,0.00045552968724073636,0.0004555296872407386,0.0012717729277264005,0.0029042594086977416,0.005352989130154728,0.00861796209209737,0.01269917829452572,0.017596637737439684,0.023310340420839376,0.029840286344724666,0.037186475509095616,0.04534890791395231,0.05432758355929458,0.06412250244512262,0.07473366457143621,0.0861610699382356,0.0984047185455205,0.11146461039329109,0.12534074548154747,0.14003312381028937,0.15554174537951712,0.17186661018923033,0.18900771823942922,0.20696506953011395,0.22573866406128415,0.24532850183294025,0.2657345828450818,0.28695690709770894,0.30899547459082205,0.33185028532442057,0.355521339298505,0.3800086365130748,0.4053121769681306,0.43143196066367173,0.45836798759969855,0.4861202577762113,0.5146887711932094,0.5440735278506935,0.5742745277486629,0.605291770887118,0.6371252572660592,0.6697749868854856,0.7032409597453981,0.7375231758457959,0.7726216351866797,0.8085363377680488,0.8452672835899036,0.8828144726522443,0.9211779049550705,0.9603575804983826,1.00035349928218],[1.0007513148009015,0.960755396017104,0.9215757204737921,0.883212288170966,0.8456650991086254,0.8089341532867704,0.7730194507054011,0.7379209913645175,0.7036387752641196,0.6701728024042073,0.6375230727847808,0.6056895864058399,0.5746723432673846,0.544471343369415,0.5150865867119311,0.48651807329493285,0.4587658031184201,0.43182977618239327,0.40570999248685197,0.38040645203179635,0.3559191548172265,0.3322481008431421,0.3093932901095436,0.2873547226164306,0.2661323983638033,0.24572631735166167,0.22613647958000568,0.2073628850488355,0.18940553375815086,0.17226442570795186,0.15593956089823857,0.1404309393290109,0.12573856100026895,0.1118624259120127,0.09880253406424205,0.08655888545695707,0.07513148009015776,0.06452031796384411,0.054725399078016185,0.04574672343267386,0.037584291027817206,0.030238101863446214,0.02370815593956089,0.01799445325616123,0.013096993813247266,0.009015777610818936,0.005750804648876274,0.003302074927419277,0.0016695884464479468,0.000853345205962283,0.0008533452059622851,0.0016695884464479468,0.0033020749274192884,0.005750804648876274,0.009015777610818915,0.013096993813247266,0.01799445325616123,0.023708155939560924,0.030238101863446214,0.037584291027817164,0.04574672343267386,0.05472539907801613,0.06452031796384416,0.07513148009015776,0.08655888545695714,0.09880253406424205,0.11186242591201263,0.12573856100026903,0.1404309393290109,0.15593956089823865,0.17226442570795186,0.18940553375815075,0.2073628850488355,0.22613647958000568,0.24572631735166178,0.2661323983638033,0.28735472261643047,0.3093932901095436,0.3322481008431421,0.3559191548172265,0.38040645203179635,0.40570999248685213,0.43182977618239327,0.4587658031184201,0.48651807329493285,0.5150865867119311,0.5444713433694152,0.5746723432673846,0.6056895864058397,0.6375230727847808,0.6701728024042073,0.7036387752641198,0.7379209913645175,0.7730194507054013,0.8089341532867704,0.8456650991086252,0.883212288170966,0.9215757204737921,0.9607553960171042,1.0007513148009015],[1.0013717421124828,0.9613758233286852,0.9221961477853733,0.8838327154825472,0.8462855264202066,0.8095545805983516,0.7736398780169823,0.7385414186760987,0.7042592025757007,0.6707932297157885,0.638143500096362,0.6063100137174211,0.5752927705789658,0.5450917706809962,0.5157070140235123,0.48713850060651415,0.4593862304300014,0.43245020349397456,0.40633041979843326,0.38102687934337764,0.3565395821288078,0.3328685281547234,0.3100137174211249,0.2879751499280119,0.2667528256753846,0.24634674466324297,0.22675690689158698,0.20798331236041678,0.19002596106973216,0.17288485301953316,0.15655998820981987,0.1410513666405922,0.12635898831185022,0.11248285322359398,0.09942296137582333,0.08717931276853835,0.07575190740173904,0.06514074527542539,0.055345826389597466,0.04636715074425514,0.03820471833939848,0.03085852917502749,0.024328583251142167,0.01861488056774251,0.013717421124828546,0.009636204922400216,0.0063712319604575535,0.003922502239000557,0.0022900157580292265,0.0014737725175435622,0.0014737725175435646,0.0022900157580292265,0.003922502239000567,0.0063712319604575535,0.009636204922400195,0.013717421124828546,0.01861488056774251,0.0243285832511422,0.03085852917502749,0.03820471833939844,0.04636715074425514,0.05534582638959741,0.06514074527542545,0.07575190740173904,0.08717931276853842,0.09942296137582333,0.11248285322359391,0.1263589883118503,0.1410513666405922,0.15655998820981995,0.17288485301953316,0.19002596106973205,0.20798331236041678,0.22675690689158698,0.24634674466324308,0.2667528256753846,0.28797514992801176,0.3100137174211249,0.3328685281547234,0.3565395821288078,0.38102687934337764,0.40633041979843343,0.43245020349397456,0.4593862304300014,0.48713850060651415,0.5157070140235123,0.5450917706809963,0.5752927705789658,0.6063100137174209,0.638143500096362,0.6707932297157885,0.704259202575701,0.7385414186760987,0.7736398780169825,0.8095545805983516,0.8462855264202064,0.8838327154825472,0.9221961477853733,0.9613758233286854,1.0013717421124828],[1.002264250504226,0.9622683317204284,0.9230886561771164,0.8847252238742903,0.8471780348119498,0.8104470889900948,0.7745323864087255,0.7394339270678418,0.7051517109674439,0.6716857381075316,0.6390360084881052,0.6072025221091643,0.5761852789707089,0.5459842790727394,0.5165995224152554,0.4880310089982573,0.4602787388217445,0.4333427118857177,0.4072229281901764,0.3819193877351208,0.35743209052055097,0.33376103654646655,0.31090622581286803,0.288867658319755,0.26764533406712776,0.24723925305498612,0.22764941528333013,0.20887582075215994,0.1909184694614753,0.1737773614112763,0.15745249660156302,0.14194387503233535,0.12725149670359337,0.11337536161533715,0.1003154697675665,0.08807182116028152,0.0766444157934822,0.06603325366716856,0.056238334781340625,0.0472596591359983,0.039097226731141646,0.031751037566770654,0.025221091642885326,0.01950738895948567,0.014609929516571706,0.010528713314143377,0.007263740352200713,0.004815010630743716,0.0031825241497723863,0.002366280909286722,0.002366280909286724,0.0031825241497723863,0.004815010630743728,0.007263740352200713,0.010528713314143356,0.014609929516571706,0.01950738895948567,0.02522109164288536,0.031751037566770654,0.039097226731141604,0.0472596591359983,0.05623833478134057,0.06603325366716861,0.0766444157934822,0.08807182116028159,0.1003154697675665,0.11337536161533708,0.12725149670359345,0.14194387503233535,0.1574524966015631,0.1737773614112763,0.1909184694614752,0.20887582075215994,0.22764941528333013,0.24723925305498623,0.26764533406712776,0.2888676583197549,0.31090622581286803,0.33376103654646655,0.35743209052055097,0.3819193877351208,0.4072229281901766,0.4333427118857177,0.4602787388217445,0.4880310089982573,0.5165995224152554,0.5459842790727395,0.5761852789707089,0.607202522109164,0.6390360084881052,0.6716857381075316,0.7051517109674441,0.7394339270678418,0.7745323864087257,0.8104470889900948,0.8471780348119495,0.8847252238742903,0.9230886561771164,0.9622683317204286,1.002264250504226],[1.0034783092634332,0.9634823904796357,0.9243027149363238,0.8859392826334976,0.8483920935711571,0.8116611477493021,0.7757464451679328,0.7406479858270492,0.7063657697266512,0.672899796866739,0.6402500672473125,0.6084165808683716,0.5773993377299163,0.5471983378319467,0.5178135811744627,0.4892450677574645,0.46149279758095174,0.43455677064492493,0.40843698694938363,0.383133446494328,0.3586461492797582,0.33497509530567376,0.31212028457207525,0.29008171707896224,0.268859392826335,0.24845331181419333,0.22886347404253735,0.21008987951136715,0.19213252822068252,0.17499142017048352,0.15866655536077023,0.14315793379154257,0.1284655554628006,0.11458942037454437,0.10152952852677372,0.08928587991948873,0.07785847455268942,0.06724731242637577,0.05745239354054785,0.04847371789520552,0.04031128549034887,0.032965096325977876,0.026435150402092548,0.02072144771869289,0.015823988275778928,0.011742772073350597,0.008477799111407934,0.006029069389950938,0.004396582908979607,0.0035803396684939435,0.0035803396684939456,0.004396582908979607,0.006029069389950949,0.008477799111407934,0.011742772073350576,0.015823988275778928,0.02072144771869289,0.026435150402092582,0.032965096325977876,0.040311285490348826,0.04847371789520552,0.05745239354054779,0.06724731242637583,0.07785847455268942,0.0892858799194888,0.10152952852677372,0.1145894203745443,0.1284655554628007,0.14315793379154257,0.15866655536077032,0.17499142017048352,0.1921325282206824,0.21008987951136715,0.22886347404253735,0.24845331181419344,0.268859392826335,0.29008171707896213,0.31212028457207525,0.33497509530567376,0.3586461492797582,0.383133446494328,0.4084369869493838,0.43455677064492493,0.46149279758095174,0.4892450677574645,0.5178135811744627,0.5471983378319468,0.5773993377299163,0.6084165808683714,0.6402500672473125,0.672899796866739,0.7063657697266514,0.7406479858270492,0.775746445167933,0.8116611477493021,0.8483920935711569,0.8859392826334976,0.9243027149363238,0.9634823904796359,1.0034783092634332],[1.0050633876774067,0.9650674688936091,0.9258877933502971,0.887524361047471,0.8499771719851305,0.8132462261632755,0.7773315235819062,0.7422330642410225,0.7079508481406246,0.6744848752807123,0.6418351456612859,0.610001659282345,0.5789844161438896,0.5487834162459201,0.5193986595884361,0.49083014617143794,0.46307787599492517,0.43614184905889836,0.41002206536335706,0.38471852490830144,0.3602312276937316,0.3365601737196472,0.3137053629860487,0.29166679549293567,0.2704444712403084,0.25003839022816676,0.23044855245651077,0.21167495792534058,0.19371760663465595,0.17657649858445695,0.16025163377474366,0.144743012205516,0.130050633876774,0.1161744987885178,0.10311460694074714,0.09087095833346216,0.07944355296666285,0.0688323908403492,0.05903747195452126,0.050058796309178935,0.04189636390432228,0.03455017473995129,0.028020228816065966,0.02230652613266631,0.017409066689752346,0.013327850487324017,0.010062877525381354,0.007614147803924356,0.005981661322953026,0.0051654180824673625,0.005165418082467364,0.005981661322953026,0.007614147803924368,0.010062877525381354,0.013327850487323996,0.017409066689752346,0.02230652613266631,0.028020228816066,0.03455017473995129,0.04189636390432224,0.050058796309178935,0.059037471954521206,0.06883239084034926,0.07944355296666285,0.09087095833346223,0.10311460694074714,0.11617449878851772,0.1300506338767741,0.144743012205516,0.16025163377474375,0.17657649858445695,0.19371760663465584,0.21167495792534058,0.23044855245651077,0.2500383902281669,0.2704444712403084,0.29166679549293556,0.3137053629860487,0.3365601737196472,0.3602312276937316,0.38471852490830144,0.4100220653633572,0.43614184905889836,0.46307787599492517,0.49083014617143794,0.5193986595884361,0.5487834162459202,0.5789844161438896,0.6100016592823447,0.6418351456612859,0.6744848752807123,0.7079508481406248,0.7422330642410225,0.7773315235819064,0.8132462261632755,0.8499771719851302,0.887524361047471,0.9258877933502971,0.9650674688936093,1.0050633876774067],[1.0070689550334484,0.9670730362496508,0.9278933607063389,0.8895299284035127,0.8519827393411722,0.8152517935193172,0.7793370909379479,0.7442386315970643,0.7099564154966663,0.6764904426367541,0.6438407130173276,0.6120072266383867,0.5809899834999314,0.5507889836019618,0.5214042269444779,0.49283571352747974,0.46508344335096696,0.43814741641494015,0.41202763271939885,0.38672409226434323,0.3622367950497734,0.338565741075689,0.31571093034209047,0.29367236284897746,0.2724500385963502,0.25204395758420856,0.23245411981255257,0.21368052528138237,0.19572317399069775,0.17858206594049875,0.16225720113078546,0.1467485795615578,0.1320562012328158,0.11818006614455957,0.10512017429678892,0.09287652568950394,0.08144912032270463,0.07083795819639098,0.06104303931056305,0.05206436366522072,0.04390193126036407,0.03655574209599308,0.030025796172107752,0.024312093488708095,0.019414634045794132,0.015333417843365803,0.01206844488142314,0.009619715159966144,0.007987228678994812,0.0071709854385091495,0.007170985438509151,0.007987228678994812,0.009619715159966154,0.01206844488142314,0.015333417843365782,0.019414634045794132,0.024312093488708095,0.030025796172107787,0.03655574209599308,0.04390193126036403,0.05206436366522072,0.06104303931056299,0.07083795819639103,0.08144912032270463,0.09287652568950401,0.10512017429678892,0.1181800661445595,0.1320562012328159,0.1467485795615578,0.16225720113078554,0.17858206594049875,0.19572317399069764,0.21368052528138237,0.23245411981255257,0.25204395758420867,0.2724500385963502,0.29367236284897735,0.31571093034209047,0.338565741075689,0.3622367950497734,0.38672409226434323,0.412027632719399,0.43814741641494015,0.46508344335096696,0.49283571352747974,0.5214042269444779,0.5507889836019619,0.5809899834999314,0.6120072266383865,0.6438407130173276,0.6764904426367541,0.7099564154966665,0.7442386315970643,0.7793370909379481,0.8152517935193172,0.851982739341172,0.8895299284035127,0.9278933607063389,0.967073036249651,1.0070689550334484],[1.0095444806188607,0.9695485618350632,0.9303688862917513,0.8920054539889252,0.8544582649265846,0.8177273191047296,0.7818126165233603,0.7467141571824767,0.7124319410820787,0.6789659682221665,0.64631623860274,0.6144827522237991,0.5834655090853438,0.5532645091873742,0.5238797525298903,0.49531123911289204,0.46755896893637927,0.44062294200035246,0.41450315830481116,0.38919961784975554,0.3647123206351857,0.3410412666611013,0.3181864559275028,0.29614788843438977,0.2749255641817625,0.25451948316962086,0.2349296453979649,0.2161560508667947,0.19819869957611008,0.18105759152591108,0.1647327267161978,0.14922410514697013,0.13453172681822814,0.12065559172997192,0.10759569988220127,0.09535205127491629,0.08392464590811698,0.07331348378180333,0.06351856489597539,0.05453988925063307,0.04637745684577642,0.03903126768140543,0.0325013217575201,0.026787619074120445,0.02189015963120648,0.01780894342877815,0.014543970466835487,0.01209524074537849,0.010462754264407159,0.009646511023921495,0.009646511023921498,0.010462754264407159,0.0120952407453785,0.014543970466835487,0.01780894342877813,0.02189015963120648,0.026787619074120445,0.03250132175752014,0.03903126768140543,0.04637745684577638,0.05453988925063307,0.06351856489597534,0.07331348378180338,0.08392464590811698,0.09535205127491636,0.10759569988220127,0.12065559172997185,0.13453172681822823,0.14922410514697013,0.16473272671619787,0.18105759152591108,0.19819869957610997,0.2161560508667947,0.2349296453979649,0.254519483169621,0.2749255641817625,0.29614788843438966,0.3181864559275028,0.3410412666611013,0.3647123206351857,0.38919961784975554,0.4145031583048113,0.44062294200035246,0.46755896893637927,0.49531123911289204,0.5238797525298903,0.5532645091873744,0.5834655090853438,0.6144827522237989,0.64631623860274,0.6789659682221665,0.712431941082079,0.7467141571824767,0.7818126165233605,0.8177273191047296,0.8544582649265844,0.8920054539889252,0.9303688862917513,0.9695485618350634,1.0095444806188607],[1.012539433720946,0.9725435149371482,0.9333638393938363,0.8950004070910101,0.8574532180286696,0.8207222722068146,0.7848075696254453,0.7497091102845617,0.7154268941841637,0.6819609213242515,0.649311191704825,0.6174777053258841,0.5864604621874288,0.5562594622894592,0.5268747056319752,0.4983061922149771,0.4705539220384643,0.4436178951024375,0.4174981114068962,0.39219457095184057,0.36770727373727075,0.3440362197631863,0.3211814090295878,0.2991428415364748,0.27792051728384753,0.2575144362717059,0.2379245985000499,0.2191510039688797,0.20119365267819508,0.18405254462799608,0.1677276798182828,0.15221905824905513,0.13752667992031317,0.12365054483205694,0.11059065298428629,0.0983470043770013,0.08691959901020199,0.07630843688388834,0.0665135179980604,0.05753484235271808,0.049372409947861434,0.04202622078349044,0.03549627485960512,0.029782572176205457,0.02488511273329149,0.02080389653086316,0.0175389235689205,0.015090193847463504,0.013457707366492173,0.012641464126006509,0.012641464126006512,0.013457707366492173,0.015090193847463514,0.0175389235689205,0.02080389653086314,0.02488511273329149,0.029782572176205457,0.035496274859605145,0.04202622078349044,0.04937240994786139,0.05753484235271808,0.06651351799806035,0.0763084368838884,0.08691959901020199,0.09834700437700138,0.11059065298428629,0.12365054483205687,0.13752667992031326,0.15221905824905513,0.16772767981828288,0.18405254462799608,0.20119365267819497,0.2191510039688797,0.2379245985000499,0.257514436271706,0.27792051728384753,0.2991428415364747,0.3211814090295878,0.3440362197631863,0.36770727373727075,0.39219457095184057,0.41749811140689636,0.4436178951024375,0.4705539220384643,0.4983061922149771,0.5268747056319752,0.5562594622894593,0.5864604621874288,0.6174777053258839,0.649311191704825,0.6819609213242515,0.7154268941841639,0.7497091102845617,0.7848075696254455,0.8207222722068146,0.8574532180286694,0.8950004070910101,0.9333638393938363,0.9725435149371484,1.012539433720946],[1.0161032836270056,0.9761073648432081,0.9369276892998962,0.8985642569970701,0.8610170679347295,0.8242861221128746,0.7883714195315052,0.7532729601906216,0.7189907440902237,0.6855247712303114,0.6528750416108849,0.621041555231944,0.5900243120934887,0.5598233121955192,0.5304385555380352,0.501870042121037,0.4741177719445242,0.4471817450084974,0.4210619613129561,0.3957584208579005,0.37127112364333065,0.3476000696692462,0.3247452589356477,0.3027066914425347,0.28148436718990744,0.2610782861777658,0.24148844840610983,0.22271485387493964,0.204757502584255,0.187616394534056,0.17129152972434272,0.15578290815511506,0.14109052982637307,0.12721439473811685,0.11415450289034619,0.10191085428306121,0.0904834489162619,0.07987228678994825,0.07007736790412032,0.061098692258777995,0.052936259853921336,0.045590070689550344,0.03906012476566502,0.03334642208226536,0.0284489626393514,0.02436774643692307,0.021102773474980407,0.018654043753523412,0.01702155727255208,0.016205314032066417,0.01620531403206642,0.01702155727255208,0.018654043753523423,0.021102773474980407,0.02436774643692305,0.0284489626393514,0.03334642208226536,0.03906012476566506,0.045590070689550344,0.052936259853921294,0.061098692258777995,0.07007736790412027,0.0798722867899483,0.0904834489162619,0.10191085428306128,0.11415450289034619,0.12721439473811677,0.14109052982637316,0.15578290815511506,0.1712915297243428,0.187616394534056,0.2047575025842549,0.22271485387493964,0.24148844840610983,0.2610782861777659,0.28148436718990744,0.3027066914425346,0.3247452589356477,0.3476000696692462,0.37127112364333065,0.3957584208579005,0.42106196131295626,0.4471817450084974,0.4741177719445242,0.501870042121037,0.5304385555380352,0.5598233121955193,0.5900243120934887,0.6210415552319438,0.6528750416108849,0.6855247712303114,0.7189907440902239,0.7532729601906216,0.7883714195315055,0.8242861221128746,0.8610170679347293,0.8985642569970701,0.9369276892998962,0.9761073648432084,1.0161032836270056],[1.0202854996243427,0.980289580840545,0.941109905297233,0.9027464729944069,0.8651992839320664,0.8284683381102114,0.7925536355288421,0.7574551761879584,0.7231729600875605,0.6897069872276482,0.6570572576082218,0.6252237712292809,0.5942065280908255,0.564005528192856,0.534620771535372,0.5060522581183738,0.4782999879418611,0.4513639610058343,0.425244177310293,0.3999406368552374,0.37545333964066757,0.35178228566658315,0.32892747493298463,0.3068889074398716,0.28566658318724436,0.2652605021751027,0.2456706644034467,0.2268970698722765,0.20893971858159188,0.19179861053139288,0.1754737457216796,0.15996512415245193,0.14527274582370997,0.13139661073545372,0.11833671888768307,0.10609307028039809,0.09466566491359878,0.08405450278728513,0.0742595839014572,0.06528090825611488,0.05711847585125822,0.04977228668688723,0.0432423407630019,0.037528638079602245,0.03263117863668828,0.028549962434259953,0.02528498947231729,0.022836259750860295,0.021203773269888964,0.0203875300294033,0.020387530029403304,0.021203773269888964,0.022836259750860306,0.02528498947231729,0.028549962434259932,0.03263117863668828,0.037528638079602245,0.043242340763001944,0.04977228668688723,0.05711847585125818,0.06528090825611488,0.07425958390145715,0.08405450278728518,0.09466566491359878,0.10609307028039816,0.11833671888768307,0.13139661073545367,0.14527274582371005,0.15996512415245193,0.17547374572167967,0.19179861053139288,0.20893971858159177,0.2268970698722765,0.2456706644034467,0.26526050217510283,0.28566658318724436,0.3068889074398715,0.32892747493298463,0.35178228566658315,0.37545333964066757,0.3999406368552374,0.4252441773102932,0.4513639610058343,0.4782999879418611,0.5060522581183738,0.534620771535372,0.5640055281928561,0.5942065280908255,0.6252237712292806,0.6570572576082218,0.6897069872276482,0.7231729600875607,0.7574551761879584,0.7925536355288423,0.8284683381102114,0.8651992839320661,0.9027464729944069,0.941109905297233,0.9802895808405452,1.0202854996243427],[1.0251355510002587,0.9851396322164611,0.9459599566731491,0.907596524370323,0.8700493353079825,0.8333183894861275,0.7974036869047582,0.7623052275638745,0.7280230114634766,0.6945570386035643,0.6619073089841379,0.630073822605197,0.5990565794667416,0.5688555795687721,0.5394708229112881,0.5109023094942899,0.4831500393177772,0.4562140123817504,0.4300942286862091,0.4047906882311535,0.38030339101658367,0.35663233704249925,0.33377752630890073,0.3117389588157877,0.29051663456316046,0.2701105535510188,0.2505207157793628,0.23174712124819263,0.213789769957508,0.196648661907309,0.18032379709759572,0.16481517552836805,0.15012279719962607,0.13624666211136985,0.1231867702635992,0.11094312165631422,0.0995157162895149,0.08890455416320125,0.07910963527737332,0.07013095963203099,0.061968527227174344,0.05462233806280335,0.04809239213891803,0.04237868945551837,0.0374812300126044,0.03340001381017607,0.03013504084823341,0.027686311126776414,0.026053824645805083,0.02523758140531942,0.025237581405319422,0.026053824645805083,0.027686311126776424,0.03013504084823341,0.03340001381017605,0.0374812300126044,0.04237868945551837,0.048092392138918055,0.05462233806280335,0.0619685272271743,0.07013095963203099,0.07910963527737326,0.08890455416320131,0.0995157162895149,0.11094312165631429,0.1231867702635992,0.13624666211136977,0.15012279719962615,0.16481517552836805,0.1803237970975958,0.196648661907309,0.2137897699575079,0.23174712124819263,0.2505207157793628,0.27011055355101893,0.29051663456316046,0.3117389588157876,0.33377752630890073,0.35663233704249925,0.38030339101658367,0.4047906882311535,0.4300942286862093,0.4562140123817504,0.4831500393177772,0.5109023094942899,0.5394708229112881,0.5688555795687722,0.5990565794667416,0.6300738226051967,0.6619073089841379,0.6945570386035643,0.7280230114634768,0.7623052275638745,0.7974036869047584,0.8333183894861275,0.8700493353079822,0.907596524370323,0.9459599566731491,0.9851396322164613,1.0251355510002587],[1.0307029070420561,0.9907069882582585,0.9515273127149466,0.9131638804121205,0.8756166913497799,0.8388857455279249,0.8029710429465556,0.767872583605672,0.7335903675052741,0.7001243946453618,0.6674746650259353,0.6356411786469944,0.6046239355085391,0.5744229356105696,0.5450381789530856,0.5164696655360874,0.48871739535957465,0.46178136842354783,0.43566158472800653,0.4103580442729509,0.3858707470583811,0.36219969308429667,0.33934488235069815,0.31730631485758515,0.2960839906049579,0.27567790959281624,0.2560880718211602,0.23731447728999003,0.2193571259993054,0.2022160179491064,0.1858911531393931,0.17038253157016545,0.1556901532414235,0.14181401815316724,0.1287541263053966,0.11651047769811161,0.1050830723313123,0.09447191020499865,0.08467699131917072,0.0756983156738284,0.06753588326897174,0.06018969410460075,0.05365974818071542,0.047946045497315765,0.0430485860544018,0.03896736985197347,0.03570239689003081,0.033253667168573815,0.03162118068760249,0.03080493744711682,0.030804937447116824,0.03162118068760249,0.03325366716857383,0.03570239689003081,0.03896736985197345,0.0430485860544018,0.047946045497315765,0.053659748180715464,0.06018969410460075,0.0675358832689717,0.0756983156738284,0.08467699131917067,0.0944719102049987,0.1050830723313123,0.11651047769811168,0.1287541263053966,0.1418140181531672,0.15569015324142357,0.17038253157016545,0.1858911531393932,0.2022160179491064,0.2193571259993053,0.23731447728999003,0.2560880718211602,0.27567790959281635,0.2960839906049579,0.31730631485758504,0.33934488235069815,0.36219969308429667,0.3858707470583811,0.4103580442729509,0.4356615847280067,0.46178136842354783,0.48871739535957465,0.5164696655360874,0.5450381789530856,0.5744229356105697,0.6046239355085391,0.6356411786469942,0.6674746650259353,0.7001243946453618,0.7335903675052743,0.767872583605672,0.8029710429465559,0.8388857455279249,0.8756166913497797,0.9131638804121205,0.9515273127149466,0.9907069882582588,1.0307029070420561],[1.037037037037037,0.9970411182532394,0.9578614427099275,0.9194980104071013,0.8819508213447608,0.8452198755229058,0.8093051729415365,0.7742067136006529,0.7399244975002549,0.7064585246403426,0.6738087950209162,0.6419753086419753,0.6109580655035199,0.5807570656055504,0.5513723089480664,0.5228037955310683,0.49505152535455554,0.46811549841852873,0.44199571472298743,0.4166921742679318,0.392204877053362,0.36853382307927757,0.34567901234567905,0.32364044485256604,0.3024181205999388,0.28201203958779714,0.2624222018161411,0.24364860728497093,0.2256912559942863,0.2085501479440873,0.192225283134374,0.17671666156514634,0.1620242832364044,0.14814814814814814,0.1350882563003775,0.12284460769309252,0.11141720232629321,0.10080604019997955,0.09101112131415162,0.0820324456688093,0.07387001326395265,0.06652382409958166,0.059993878175696326,0.05428017549229667,0.049382716049382706,0.04530149984695438,0.042036526885011714,0.03958779716355471,0.037955310682583385,0.037139067442097724,0.037139067442097724,0.037955310682583385,0.039587797163554726,0.042036526885011714,0.045301499846954356,0.049382716049382706,0.05428017549229667,0.05999387817569636,0.06652382409958166,0.0738700132639526,0.0820324456688093,0.09101112131415157,0.1008060401999796,0.11141720232629321,0.12284460769309258,0.1350882563003775,0.14814814814814808,0.16202428323640447,0.17671666156514634,0.1922252831343741,0.2085501479440873,0.2256912559942862,0.24364860728497093,0.2624222018161411,0.28201203958779725,0.3024181205999388,0.32364044485256593,0.34567901234567905,0.36853382307927757,0.392204877053362,0.4166921742679318,0.4419957147229876,0.46811549841852873,0.49505152535455554,0.5228037955310683,0.5513723089480664,0.5807570656055505,0.6109580655035199,0.641975308641975,0.6738087950209162,0.7064585246403426,0.7399244975002551,0.7742067136006529,0.8093051729415367,0.8452198755229058,0.8819508213447605,0.9194980104071013,0.9578614427099275,0.9970411182532396,1.037037037037037],[1.0441874102725037,1.004191491488706,0.9650118159453941,0.926648383642568,0.8891011945802274,0.8523702487583724,0.8164555461770031,0.7813570868361195,0.7470748707357215,0.7136088978758093,0.6809591682563828,0.6491256818774419,0.6181084387389866,0.587907438841017,0.5585226821835331,0.5299541687665349,0.5022018985900222,0.47526587165399536,0.44914608795845407,0.42384254750339845,0.3993552502888286,0.3756841963147442,0.3528293855811457,0.3307908180880327,0.3095684938354054,0.28916241282326377,0.26957257505160775,0.2507989805204376,0.23284162922975293,0.21570052117955393,0.19937565636984064,0.18386703480061298,0.16917465647187102,0.15529852138361477,0.14223862953584412,0.12999498092855916,0.11856757556175984,0.10795641343544618,0.09816149454961826,0.08918281890427593,0.08102038649941928,0.07367419733504829,0.06714425141116295,0.0614305487277633,0.05653308928484934,0.05245187308242101,0.04918690012047835,0.046738170399021346,0.04510568391805002,0.04428944067756436,0.04428944067756436,0.04510568391805002,0.04673817039902136,0.04918690012047835,0.05245187308242099,0.05653308928484934,0.0614305487277633,0.067144251411163,0.07367419733504829,0.08102038649941923,0.08918281890427593,0.0981614945496182,0.10795641343544624,0.11856757556175984,0.1299949809285592,0.14223862953584412,0.15529852138361472,0.1691746564718711,0.18386703480061298,0.19937565636984073,0.21570052117955393,0.23284162922975282,0.2507989805204376,0.26957257505160775,0.2891624128232639,0.3095684938354054,0.33079081808803257,0.3528293855811457,0.3756841963147442,0.3993552502888286,0.42384254750339845,0.44914608795845423,0.47526587165399536,0.5022018985900222,0.5299541687665349,0.5585226821835331,0.5879074388410171,0.6181084387389866,0.6491256818774417,0.6809591682563828,0.7136088978758093,0.7470748707357218,0.7813570868361195,0.8164555461770033,0.8523702487583724,0.8891011945802272,0.926648383642568,0.9650118159453941,1.0041914914887062,1.0441874102725037],[1.052203496035758,1.0122075772519605,0.9730279017086485,0.9346644694058224,0.8971172803434818,0.8603863345216268,0.8244716319402575,0.7893731725993739,0.755090956498976,0.7216249836390637,0.6889752540196372,0.6571417676406963,0.626124524502241,0.5959235246042714,0.5665387679467875,0.5379702545297893,0.5102179843532766,0.4832819574172497,0.4571621737217084,0.4318586332666528,0.407371336052083,0.38370028207799856,0.36084547134440004,0.33880690385128703,0.31758457959865977,0.2971784985865181,0.27758866081486216,0.25881506628369194,0.24085771499300734,0.22371660694280832,0.20739174213309503,0.19188312056386736,0.1771907422351254,0.16331460714686918,0.1502547152990985,0.13801106669181354,0.12658366132501422,0.11597249919870058,0.10617758031287264,0.09719890466753031,0.08903647226267367,0.08169028309830267,0.07516033717441735,0.06944663449101769,0.06454917504810373,0.0604679588456754,0.05720298588373274,0.054754256162275736,0.05312176968130441,0.05230552644081875,0.05230552644081875,0.05312176968130441,0.05475425616227575,0.05720298588373274,0.06046795884567538,0.06454917504810373,0.06944663449101769,0.07516033717441739,0.08169028309830267,0.08903647226267362,0.09719890466753031,0.10617758031287258,0.11597249919870063,0.12658366132501422,0.13801106669181362,0.1502547152990985,0.1633146071468691,0.1771907422351255,0.19188312056386736,0.20739174213309514,0.22371660694280832,0.24085771499300723,0.25881506628369194,0.27758866081486216,0.29717849858651824,0.31758457959865977,0.3388069038512869,0.36084547134440004,0.38370028207799856,0.407371336052083,0.4318586332666528,0.4571621737217086,0.4832819574172497,0.5102179843532766,0.5379702545297893,0.5665387679467875,0.5959235246042716,0.626124524502241,0.6571417676406961,0.6889752540196372,0.7216249836390637,0.7550909564989762,0.7893731725993739,0.8244716319402577,0.8603863345216268,0.8971172803434816,0.9346644694058224,0.9730279017086485,1.0122075772519608,1.052203496035758],[1.0611347636141024,1.021138844830305,0.981959169286993,0.9435957369841669,0.9060485479218263,0.8693176020999713,0.833402899518602,0.7983044401777184,0.7640222240773205,0.7305562512174082,0.6979065215979817,0.6660730352190408,0.6350557920805855,0.604854792182616,0.575470035525132,0.5469015221081338,0.519149251931621,0.49221322499559417,0.4660934413000529,0.44078990084499725,0.4163026036304275,0.39263154965634306,0.36977673892274454,0.3477381714296315,0.3265158471770042,0.30610976616486263,0.2865199283932066,0.2677463338620364,0.2497889825713518,0.2326478745211528,0.2163230097114395,0.20081438814221184,0.18612200981346988,0.17224587472521363,0.15918598287744298,0.14694233427015801,0.1355149289033587,0.12490376677704504,0.11510884789121711,0.10613017224587479,0.09796773984101813,0.09062155067664714,0.08409160475276181,0.07837790206936215,0.07348044262644819,0.06939922642401986,0.0661342534620772,0.0636855237406202,0.06205303725964887,0.06123679401916321,0.06123679401916321,0.06205303725964887,0.06368552374062021,0.0661342534620772,0.06939922642401984,0.07348044262644819,0.07837790206936215,0.08409160475276184,0.09062155067664714,0.09796773984101809,0.10613017224587479,0.11510884789121706,0.1249037667770451,0.1355149289033587,0.14694233427015807,0.15918598287744298,0.17224587472521358,0.18612200981346994,0.20081438814221184,0.21632300971143958,0.2326478745211528,0.24978898257135168,0.2677463338620364,0.2865199283932066,0.30610976616486274,0.3265158471770042,0.34773817142963137,0.36977673892274454,0.39263154965634306,0.4163026036304275,0.44078990084499725,0.46609344130005304,0.49221322499559417,0.519149251931621,0.5469015221081338,0.575470035525132,0.6048547921826161,0.6350557920805855,0.6660730352190406,0.6979065215979817,0.7305562512174082,0.7640222240773207,0.7983044401777184,0.8334028995186022,0.8693176020999713,0.9060485479218261,0.9435957369841669,0.981959169286993,1.0211388448303051,1.0611347636141024],[1.071030682294839,1.0310347635110415,0.9918550879677295,0.9534916556649033,0.9159444666025628,0.8792135207807078,0.8432988181993385,0.8082003588584549,0.7739181427580569,0.7404521698981447,0.7078024402787182,0.6759689538997773,0.644951710761322,0.6147507108633524,0.5853659542058685,0.5567974407888703,0.5290451706123576,0.5021091436763307,0.4759893599807894,0.4506858195257338,0.42619852231116395,0.40252746833707953,0.379672657603481,0.357634090110368,0.33641176585774074,0.3160056848455991,0.29641584707394314,0.2776422525427729,0.2596849012520883,0.2425437932018893,0.226218928392176,0.21071030682294833,0.19601792849420638,0.18214179340595016,0.16908190155817948,0.1568382529508945,0.1454108475840952,0.13479968545778154,0.1250047665719536,0.11602609092661129,0.10786365852175464,0.10051746935738365,0.09398752343349832,0.08827382075009867,0.0833763613071847,0.07929514510475637,0.07603017214281371,0.07358144242135671,0.07194895594038539,0.07113271269989972,0.07113271269989972,0.07194895594038539,0.07358144242135672,0.07603017214281371,0.07929514510475635,0.0833763613071847,0.08827382075009867,0.09398752343349837,0.10051746935738365,0.1078636585217546,0.11602609092661129,0.12500476657195356,0.1347996854577816,0.1454108475840952,0.1568382529508946,0.16908190155817948,0.18214179340595008,0.19601792849420646,0.21071030682294833,0.2262189283921761,0.2425437932018893,0.2596849012520882,0.2776422525427729,0.29641584707394314,0.3160056848455992,0.33641176585774074,0.3576340901103679,0.379672657603481,0.40252746833707953,0.42619852231116395,0.4506858195257338,0.47598935998078956,0.5021091436763307,0.5290451706123576,0.5567974407888703,0.5853659542058685,0.6147507108633525,0.644951710761322,0.6759689538997771,0.7078024402787182,0.7404521698981447,0.7739181427580571,0.8082003588584549,0.8432988181993387,0.8792135207807078,0.9159444666025626,0.9534916556649033,0.9918550879677295,1.0310347635110417,1.071030682294839],[1.0819407213652699,1.0419448025814722,1.0027651270381603,0.9644016947353342,0.9268545056729937,0.8901235598511387,0.8542088572697694,0.8191103979288857,0.7848281818284878,0.7513622089685755,0.7187124793491491,0.6868789929702082,0.6558617498317528,0.6256607499337833,0.5962759932762993,0.5677074798593011,0.5399552096827883,0.5130191827467615,0.48689939905122026,0.4615958585961646,0.4371085613815948,0.4134375074075104,0.3905826966739119,0.3685441291807988,0.34732180492817155,0.32691572391602997,0.30732588614437395,0.2885522916132037,0.27059494032251913,0.2534538322723201,0.23712896746260684,0.22162034589337917,0.20692796756463722,0.19305183247638097,0.17999194062861032,0.16774829202132535,0.15632088665452604,0.14570972452821238,0.13591480564238445,0.12693612999704212,0.11877369759218546,0.11142750842781447,0.10489756250392915,0.09918385982052949,0.09428640037761553,0.09020518417518719,0.08694021121324454,0.08449148149178753,0.08285899501081621,0.08204275177033055,0.08204275177033055,0.08285899501081621,0.08449148149178755,0.08694021121324454,0.09020518417518718,0.09428640037761553,0.09918385982052949,0.10489756250392918,0.11142750842781447,0.11877369759218542,0.12693612999704212,0.1359148056423844,0.14570972452821243,0.15632088665452604,0.1677482920213254,0.17999194062861032,0.1930518324763809,0.20692796756463727,0.22162034589337917,0.23712896746260692,0.2534538322723201,0.270594940322519,0.2885522916132037,0.30732588614437395,0.3269157239160301,0.34732180492817155,0.3685441291807987,0.3905826966739119,0.4134375074075104,0.4371085613815948,0.4615958585961646,0.48689939905122037,0.5130191827467615,0.5399552096827883,0.5677074798593011,0.5962759932762993,0.6256607499337834,0.6558617498317528,0.6868789929702079,0.7187124793491491,0.7513622089685755,0.784828181828488,0.8191103979288857,0.8542088572697696,0.8901235598511387,0.9268545056729934,0.9644016947353342,1.0027651270381603,1.0419448025814724,1.0819407213652699],[1.0939143501126973,1.0539184313288996,1.0147387557855878,0.9763753234827616,0.938828134420421,0.902097188598566,0.8661824860171967,0.8310840266763131,0.7968018105759151,0.7633358377160029,0.7306861080965764,0.6988526217176355,0.6678353785791802,0.6376343786812106,0.6082496220237267,0.5796811086067285,0.5519288384302158,0.524992811494189,0.4988730277986476,0.47356948734359205,0.4490821901290222,0.42541113615493775,0.40255632542133923,0.3805177579282263,0.359295433675599,0.3388893526634573,0.31929951489180136,0.3005259203606312,0.28256856906994654,0.26542746101974757,0.24910259621003425,0.23359397464080658,0.21890159631206463,0.20502546122380838,0.19196556937603773,0.17972192076875276,0.16829451540195345,0.1576833532756398,0.14788843438981186,0.13890975874446954,0.1307473263396129,0.12340113717524188,0.11687119125135656,0.1111574885679569,0.10626002912504294,0.1021788129226146,0.09891383996067195,0.09646511023921495,0.09483262375824363,0.09401638051775796,0.09401638051775796,0.09483262375824363,0.09646511023921496,0.09891383996067195,0.10217881292261459,0.10626002912504294,0.1111574885679569,0.11687119125135659,0.12340113717524188,0.13074732633961283,0.13890975874446954,0.1478884343898118,0.15768335327563984,0.16829451540195345,0.17972192076875282,0.19196556937603773,0.20502546122380833,0.21890159631206468,0.23359397464080658,0.24910259621003433,0.26542746101974757,0.28256856906994643,0.3005259203606312,0.31929951489180136,0.33888935266345743,0.359295433675599,0.3805177579282262,0.40255632542133923,0.42541113615493775,0.4490821901290222,0.47356948734359205,0.49887302779864784,0.524992811494189,0.5519288384302158,0.5796811086067285,0.6082496220237267,0.6376343786812108,0.6678353785791802,0.6988526217176353,0.7306861080965764,0.7633358377160029,0.7968018105759154,0.8310840266763131,0.8661824860171969,0.902097188598566,0.9388281344204208,0.9763753234827616,1.0147387557855878,1.0539184313288998,1.0939143501126973],[1.107001037824423,1.0670051190406256,1.0278254434973135,0.9894620111944875,0.951914822132147,0.915183876310292,0.8792691737289227,0.844170714388039,0.8098884982876411,0.7764225254277288,0.7437727958083024,0.7119393094293615,0.6809220662909061,0.6507210663929366,0.6213363097354526,0.5927677963184544,0.5650155261419416,0.5380794992059148,0.5119597155103736,0.48665617505531794,0.4621688778407481,0.4384978238666637,0.4156430131330652,0.39360444563995217,0.3723821213873249,0.35197604037518326,0.33238620260352725,0.3136126080723571,0.2956552567816725,0.27851414873147345,0.26218928392176016,0.2466806623525325,0.23198828402379051,0.2181121489355343,0.20505225708776365,0.19280860848047865,0.18138120311367933,0.1707700409873657,0.16097512210153778,0.15199644645619545,0.14383401405133878,0.1364878248869678,0.12995787896308247,0.12424417627968282,0.11934671683676885,0.11526550063434052,0.11200052767239786,0.10955179795094086,0.10791931146996954,0.10710306822948387,0.10710306822948387,0.10791931146996954,0.10955179795094087,0.11200052767239786,0.1152655006343405,0.11934671683676885,0.12424417627968282,0.1299578789630825,0.1364878248869678,0.14383401405133875,0.15199644645619545,0.16097512210153772,0.17077004098736576,0.18138120311367933,0.19280860848047873,0.20505225708776365,0.2181121489355342,0.23198828402379063,0.2466806623525325,0.2621892839217602,0.27851414873147345,0.29565525678167237,0.3136126080723571,0.33238620260352725,0.3519760403751834,0.3723821213873249,0.39360444563995206,0.4156430131330652,0.4384978238666637,0.4621688778407481,0.48665617505531794,0.5119597155103737,0.5380794992059148,0.5650155261419416,0.5927677963184544,0.6213363097354526,0.6507210663929367,0.6809220662909061,0.7119393094293612,0.7437727958083024,0.7764225254277288,0.8098884982876413,0.844170714388039,0.8792691737289229,0.915183876310292,0.9519148221321467,0.9894620111944875,1.0278254434973135,1.0670051190406258,1.107001037824423],[1.12125025378775,1.0812543350039525,1.0420746594606405,1.0037112271578144,0.9661640380954738,0.9294330922736188,0.8935183896922495,0.8584199303513659,0.8241377142509679,0.7906717413910557,0.7580220117716292,0.7261885253926883,0.695171282254233,0.6649702823562634,0.6355855256987795,0.6070170122817813,0.5792647421052686,0.5523287151692418,0.5262089314737004,0.5009053910186448,0.47641809380407496,0.45274703982999054,0.429892229096392,0.407853661603279,0.38663133735065175,0.3662252563385101,0.34663541856685415,0.3278618240356839,0.3099044727449993,0.2927633646948003,0.276438499885087,0.26092987831585934,0.2462374999871174,0.23236136489886117,0.2193014730510905,0.20705782444380552,0.1956304190770062,0.18501925695069255,0.17522433806486462,0.1662456624195223,0.15808323001466565,0.15073704085029466,0.14420709492640932,0.13849339224300966,0.1335959328000957,0.1295147165976674,0.12624974363572472,0.12380101391426772,0.1221685274332964,0.12135228419281073,0.12135228419281073,0.1221685274332964,0.12380101391426773,0.12624974363572472,0.12951471659766736,0.1335959328000957,0.13849339224300966,0.14420709492640937,0.15073704085029466,0.15808323001466562,0.1662456624195223,0.17522433806486457,0.1850192569506926,0.1956304190770062,0.2070578244438056,0.2193014730510905,0.23236136489886108,0.24623749998711747,0.26092987831585934,0.2764384998850871,0.2927633646948003,0.3099044727449992,0.3278618240356839,0.34663541856685415,0.3662252563385102,0.38663133735065175,0.4078536616032789,0.429892229096392,0.45274703982999054,0.47641809380407496,0.5009053910186448,0.5262089314737006,0.5523287151692418,0.5792647421052686,0.6070170122817813,0.6355855256987795,0.6649702823562635,0.695171282254233,0.7261885253926881,0.7580220117716292,0.7906717413910557,0.8241377142509682,0.8584199303513659,0.8935183896922497,0.9294330922736188,0.9661640380954736,1.0037112271578144,1.0420746594606405,1.0812543350039527,1.12125025378775],[1.1367114672899796,1.0967155485061821,1.05753587296287,1.019172440660044,0.9816252515977035,0.9448943057758485,0.9089796031944792,0.8738811438535956,0.8395989277531977,0.8061329548932854,0.7734832252738588,0.7416497388949179,0.7106324957564627,0.6804314958584932,0.6510467392010091,0.6224782257840109,0.5947259556074982,0.5677899286714714,0.54167014497593,0.5163666045208745,0.49187930730630464,0.4682082533322202,0.4453534425986217,0.4233148751055087,0.4020925508528814,0.3816864698407398,0.3620966320690838,0.3433230375379136,0.32536568624722895,0.30822457819703,0.2918997133873167,0.276391091818089,0.26169871348934703,0.24782257840109082,0.23476268655332017,0.22251903794603517,0.21109163257923585,0.20048047045292222,0.1906855515670943,0.18170687592175197,0.1735444435168953,0.16619825435252433,0.159668308428639,0.15395460574523934,0.14905714630232536,0.14497593009989704,0.14171095713795437,0.13926222741649738,0.13762974093552605,0.1368134976950404,0.1368134976950404,0.13762974093552605,0.1392622274164974,0.14171095713795437,0.144975930099897,0.14905714630232536,0.15395460574523934,0.15966830842863902,0.16619825435252433,0.17354444351689527,0.18170687592175197,0.19068555156709424,0.20048047045292228,0.21109163257923585,0.22251903794603525,0.23476268655332017,0.24782257840109073,0.26169871348934715,0.276391091818089,0.2918997133873168,0.30822457819703,0.32536568624722884,0.3433230375379136,0.3620966320690838,0.3816864698407399,0.4020925508528814,0.4233148751055086,0.4453534425986217,0.4682082533322202,0.49187930730630464,0.5163666045208745,0.5416701449759302,0.5677899286714714,0.5947259556074982,0.6224782257840109,0.6510467392010091,0.6804314958584932,0.7106324957564627,0.7416497388949177,0.7734832252738588,0.8061329548932854,0.8395989277531979,0.8738811438535956,0.9089796031944795,0.9448943057758485,0.9816252515977033,1.019172440660044,1.05753587296287,1.0967155485061824,1.1367114672899796],[1.1534341476184145,1.113438228834617,1.074258553291305,1.0358951209884788,0.9983479319261382,0.9616169861042833,0.925702283522914,0.8906038241820303,0.8563216080816324,0.8228556352217201,0.7902059056022936,0.7583724192233527,0.7273551760848974,0.6971541761869279,0.6677694195294439,0.6392009061124457,0.611448635935933,0.5845126089999062,0.5583928253043648,0.5330892848493092,0.5086019876347394,0.484930933660655,0.46207612292705647,0.44003755543394346,0.4188152311813162,0.39840915016917455,0.37881931239751854,0.36004571786634837,0.34208836657566377,0.32494725852546474,0.30862239371575145,0.2931137721465238,0.2784213938177818,0.2645452587295256,0.25148536688175493,0.23924171827446994,0.22781431290767062,0.217203150781357,0.20740823189552907,0.19842955625018674,0.19026712384533007,0.1829209346809591,0.17639098875707376,0.1706772860736741,0.16577982663076013,0.1616986104283318,0.15843363746638914,0.15598490774493215,0.15435242126396082,0.15353617802347516,0.15353617802347516,0.15435242126396082,0.15598490774493218,0.15843363746638914,0.16169861042833178,0.16577982663076013,0.1706772860736741,0.1763909887570738,0.1829209346809591,0.19026712384533004,0.19842955625018674,0.207408231895529,0.21720315078135705,0.22781431290767062,0.23924171827447002,0.25148536688175493,0.2645452587295255,0.2784213938177819,0.2931137721465238,0.3086223937157515,0.32494725852546474,0.34208836657566366,0.36004571786634837,0.37881931239751854,0.39840915016917466,0.4188152311813162,0.44003755543394335,0.46207612292705647,0.484930933660655,0.5086019876347394,0.5330892848493092,0.5583928253043651,0.5845126089999062,0.611448635935933,0.6392009061124457,0.6677694195294439,0.697154176186928,0.7273551760848974,0.7583724192233525,0.7902059056022936,0.8228556352217201,0.8563216080816326,0.8906038241820303,0.9257022835229142,0.9616169861042833,0.998347931926138,1.0358951209884788,1.074258553291305,1.113438228834617,1.1534341476184145],[1.1714677640603566,1.131471845276559,1.092292169733247,1.0539287374304211,1.0163815483680805,0.9796506025462255,0.9437358999648562,0.9086374406239726,0.8743552245235746,0.8408892516636624,0.8082395220442359,0.776406035665295,0.7453887925268396,0.7151877926288701,0.6858030359713861,0.657234522554388,0.6294822523778751,0.6025462254418483,0.5764264417463071,0.5511229012912515,0.5266356040766816,0.5029645501025972,0.4801097393689987,0.4580711718758857,0.43684884762325843,0.4164427666111168,0.3968529288394608,0.3780793343082906,0.360121983017606,0.342980874967407,0.3266560101576937,0.311147388588466,0.29645501025972404,0.28257887517146785,0.26951898332369717,0.2572753347164122,0.24584792934961286,0.23523676722329923,0.2254418483374713,0.21646317269212897,0.2083007402872723,0.20095455112290134,0.194424605199016,0.18871090251561634,0.18381344307270236,0.17973222687027404,0.17646725390833137,0.17401852418687438,0.17238603770590305,0.1715697944654174,0.1715697944654174,0.17238603770590305,0.1740185241868744,0.17646725390833137,0.17973222687027401,0.18381344307270236,0.18871090251561634,0.19442460519901603,0.20095455112290134,0.20830074028727227,0.21646317269212897,0.22544184833747125,0.23523676722329928,0.24584792934961286,0.2572753347164123,0.26951898332369717,0.28257887517146774,0.29645501025972415,0.311147388588466,0.32665601015769374,0.342980874967407,0.3601219830176059,0.3780793343082906,0.3968529288394608,0.4164427666111169,0.43684884762325843,0.4580711718758856,0.4801097393689987,0.5029645501025972,0.5266356040766816,0.5511229012912515,0.5764264417463072,0.6025462254418483,0.6294822523778751,0.657234522554388,0.6858030359713861,0.7151877926288702,0.7453887925268396,0.7764060356652948,0.8082395220442359,0.8408892516636624,0.8743552245235748,0.9086374406239726,0.9437358999648564,0.9796506025462255,1.0163815483680803,1.0539287374304211,1.092292169733247,1.1314718452765593,1.1714677640603566],[1.190861785903108,1.1508658671193106,1.1116861915759986,1.0733227592731724,1.035775570210832,0.999044624388977,0.9631299218076077,0.9280314624667241,0.8937492463663261,0.8602832735064139,0.8276335438869873,0.7958000575080464,0.7647828143695912,0.7345818144716216,0.7051970578141376,0.6766285443971394,0.6488762742206267,0.6219402472845998,0.5958204635890585,0.5705169231340029,0.546029625919433,0.5223585719453487,0.49950376121175016,0.47746519371863716,0.4562428694660099,0.43583678845386825,0.4162469506822123,0.39747335615104207,0.3795160048603574,0.36237489681015844,0.34605003200044515,0.3305414104312175,0.3158490321024755,0.30197289701421925,0.28891300516644863,0.27666935655916364,0.2652419511923643,0.2546307890660507,0.24483587018022276,0.23585719453488044,0.22769476213002376,0.2203485729656528,0.21381862704176746,0.2081049243583678,0.20320746491545383,0.1991262487130255,0.19586127575108284,0.19341254602962585,0.1917800595486545,0.19096381630816886,0.19096381630816886,0.1917800595486545,0.19341254602962588,0.19586127575108284,0.19912624871302548,0.20320746491545383,0.2081049243583678,0.2138186270417675,0.2203485729656528,0.22769476213002374,0.23585719453488044,0.2448358701802227,0.25463078906605074,0.2652419511923643,0.2766693565591637,0.28891300516644863,0.3019728970142192,0.3158490321024756,0.3305414104312175,0.34605003200044526,0.36237489681015844,0.3795160048603573,0.39747335615104207,0.4162469506822123,0.43583678845386836,0.4562428694660099,0.47746519371863705,0.49950376121175016,0.5223585719453487,0.546029625919433,0.5705169231340029,0.5958204635890587,0.6219402472845998,0.6488762742206267,0.6766285443971394,0.7051970578141376,0.7345818144716216,0.7647828143695912,0.7958000575080462,0.8276335438869873,0.8602832735064139,0.8937492463663264,0.9280314624667241,0.9631299218076079,0.999044624388977,1.0357755702108318,1.0733227592731724,1.1116861915759986,1.1508658671193108,1.190861785903108],[1.2116656824339715,1.1716697636501738,1.132490088106862,1.094126655804036,1.0565794667416952,1.0198485209198402,0.9839338183384709,0.9488353589975873,0.9145531428971894,0.8810871700372771,0.8484374404178506,0.8166039540389097,0.7855867109004544,0.7553857110024849,0.7260009543450009,0.6974324409280027,0.66968017075149,0.6427441438154632,0.6166243601199218,0.5913208196648663,0.5668335224502964,0.543162468476212,0.5203076577426134,0.4982690902495005,0.47704676599687323,0.45664068498473154,0.4370508472130756,0.4182772526819054,0.40031990139122076,0.3831787933410218,0.3668539285313085,0.3513453069620808,0.33665292863333884,0.3227767935450826,0.3097169016973119,0.297473253090027,0.28604584772322766,0.275434685596914,0.2656397667110861,0.25666109106574375,0.2484986586608871,0.2411524694965161,0.23462252357263078,0.22890882088923112,0.22401136144631714,0.21993014524388882,0.21666517228194615,0.21421644256048916,0.21258395607951783,0.21176771283903217,0.21176771283903217,0.21258395607951783,0.2142164425604892,0.21666517228194615,0.2199301452438888,0.22401136144631714,0.22890882088923112,0.2346225235726308,0.2411524694965161,0.24849865866088705,0.25666109106574375,0.265639766711086,0.2754346855969141,0.28604584772322766,0.29747325309002703,0.3097169016973119,0.32277679354508254,0.3366529286333389,0.3513453069620808,0.36685392853130855,0.3831787933410218,0.40031990139122064,0.4182772526819054,0.4370508472130756,0.45664068498473165,0.47704676599687323,0.4982690902495004,0.5203076577426134,0.543162468476212,0.5668335224502964,0.5913208196648663,0.616624360119922,0.6427441438154632,0.66968017075149,0.6974324409280027,0.7260009543450009,0.755385711002485,0.7855867109004544,0.8166039540389095,0.8484374404178506,0.8810871700372771,0.9145531428971896,0.9488353589975873,0.9839338183384712,1.0198485209198402,1.056579466741695,1.094126655804036,1.132490088106862,1.171669763650174,1.2116656824339715],[1.2339289229402484,1.1939330041564507,1.1547533286131388,1.1163898963103127,1.078842707247972,1.042111761426117,1.0061970588447477,0.9710985995038641,0.9368163834034662,0.9033504105435539,0.8707006809241274,0.8388671945451865,0.8078499514067312,0.7776489515087617,0.7482641948512777,0.7196956814342795,0.6919434112577668,0.66500738432174,0.6388876006261986,0.6135840601711431,0.5890967629565732,0.5654257089824888,0.5425708982488903,0.5205323307557773,0.49931000650315005,0.47890392549100835,0.4593140877193524,0.4405404931881822,0.42258314189749757,0.4054420338472986,0.3891171690375853,0.3736085474683576,0.35891616913961566,0.3450400340513594,0.33198014220358874,0.3197364935963038,0.3083090882295045,0.2976979261031908,0.2879030072173629,0.27892433157202057,0.2707618991671639,0.2634157100027929,0.2568857640789076,0.25117206139550796,0.24627460195259396,0.24219338575016564,0.23892841278822297,0.23647968306676598,0.23484719658579464,0.234030953345309,0.234030953345309,0.23484719658579464,0.236479683066766,0.23892841278822297,0.2421933857501656,0.24627460195259396,0.25117206139550796,0.2568857640789076,0.2634157100027929,0.27076189916716387,0.27892433157202057,0.28790300721736284,0.2976979261031909,0.3083090882295045,0.31973649359630385,0.33198014220358874,0.34504003405135936,0.3589161691396157,0.3736085474683576,0.38911716903758536,0.4054420338472986,0.42258314189749746,0.4405404931881822,0.4593140877193524,0.47890392549100846,0.49931000650315005,0.5205323307557772,0.5425708982488903,0.5654257089824888,0.5890967629565732,0.6135840601711431,0.6388876006261989,0.66500738432174,0.6919434112577668,0.7196956814342795,0.7482641948512777,0.7776489515087618,0.8078499514067312,0.8388671945451863,0.8707006809241274,0.9033504105435539,0.9368163834034664,0.9710985995038641,1.006197058844748,1.042111761426117,1.0788427072479718,1.1163898963103127,1.1547533286131388,1.1939330041564509,1.2339289229402484],[1.2577009767092413,1.2177050579254436,1.1785253823821318,1.1401619500793057,1.102614761016965,1.06588381519511,1.029969112613741,0.9948706532728572,0.9605884371724592,0.927122464312547,0.8944727346931205,0.8626392483141796,0.8316220051757243,0.8014210052777547,0.7720362486202708,0.7434677352032726,0.7157154650267599,0.688779438090733,0.6626596543951917,0.637356113940136,0.6128688167255663,0.5891977627514818,0.5663429520178833,0.5443043845247704,0.5230820602721431,0.5026759792600014,0.4830861414883454,0.4643125469571752,0.4463551956664906,0.4292140876162916,0.4128892228065783,0.39738060123735064,0.38268822290860866,0.36881208782035246,0.3557521959725818,0.3435085473652968,0.3320811419984975,0.32146997987218384,0.3116750609863559,0.30269638534101356,0.2945339529361569,0.28718776377178595,0.2806578178479006,0.27494411516450096,0.270046655721587,0.2659654395191587,0.262700466557216,0.26025173683575903,0.25861925035478767,0.257803007114302,0.257803007114302,0.25861925035478767,0.26025173683575903,0.262700466557216,0.26596543951915863,0.270046655721587,0.27494411516450096,0.28065781784790067,0.28718776377178595,0.2945339529361569,0.30269638534101356,0.31167506098635583,0.3214699798721839,0.3320811419984975,0.3435085473652969,0.3557521959725818,0.36881208782035235,0.38268822290860877,0.39738060123735064,0.41288922280657836,0.4292140876162916,0.4463551956664905,0.4643125469571752,0.4830861414883454,0.5026759792600015,0.5230820602721431,0.5443043845247701,0.5663429520178833,0.5891977627514818,0.6128688167255663,0.637356113940136,0.6626596543951919,0.688779438090733,0.7157154650267599,0.7434677352032726,0.7720362486202708,0.8014210052777548,0.8316220051757243,0.8626392483141794,0.8944727346931205,0.927122464312547,0.9605884371724595,0.9948706532728572,1.029969112613741,1.06588381519511,1.102614761016965,1.1401619500793057,1.1785253823821318,1.217705057925444,1.2577009767092413],[1.283031313028252,1.2430353942444545,1.2038557187011425,1.1654922863983166,1.127945097335976,1.091214151514121,1.0552994489327516,1.020200989591868,0.9859187734914701,0.9524528006315578,0.9198030710121313,0.8879695846331904,0.8569523414947351,0.8267513415967656,0.7973665849392816,0.7687980715222834,0.7410458013457706,0.7141097744097438,0.6879899907142025,0.662686450259147,0.6381991530445771,0.6145280990704927,0.5916732883368941,0.5696347208437811,0.5484123965911538,0.5280063155790122,0.5084164778073562,0.48964288327618605,0.47168553198550145,0.4545444239353024,0.43821955912558913,0.42271093755636147,0.4080185592276195,0.3941424241393633,0.3810825322915926,0.3688388836843076,0.3574114783175083,0.34680031619119467,0.3370053973053667,0.3280267216600244,0.31986428925516774,0.3125181000907968,0.30598815416691144,0.3002744514835118,0.2953769920405978,0.2912957758381695,0.28803080287622684,0.28558207315476986,0.2839495866737985,0.2831333434333128,0.2831333434333128,0.2839495866737985,0.28558207315476986,0.28803080287622684,0.29129577583816946,0.2953769920405978,0.3002744514835118,0.3059881541669115,0.3125181000907968,0.31986428925516774,0.3280267216600244,0.33700539730536666,0.3468003161911947,0.3574114783175083,0.36883888368430773,0.3810825322915926,0.3941424241393632,0.4080185592276196,0.42271093755636147,0.4382195591255892,0.4545444239353024,0.47168553198550134,0.48964288327618605,0.5084164778073562,0.5280063155790123,0.5484123965911538,0.5696347208437811,0.5916732883368941,0.6145280990704927,0.6381991530445771,0.662686450259147,0.6879899907142026,0.7141097744097438,0.7410458013457706,0.7687980715222834,0.7973665849392816,0.8267513415967657,0.8569523414947351,0.8879695846331902,0.9198030710121313,0.9524528006315578,0.9859187734914703,1.020200989591868,1.0552994489327518,1.091214151514121,1.1279450973359757,1.1654922863983166,1.2038557187011425,1.2430353942444547,1.283031313028252],[1.3099694011845833,1.2699734824007856,1.2307938068574737,1.1924303745546476,1.154883185492307,1.118152239670452,1.0822375370890827,1.047139077748199,1.012856861647801,0.9793908887878888,0.9467411591684625,0.9149076727895216,0.8838904296510661,0.8536894297530966,0.8243046730956127,0.7957361596786146,0.7679838895021017,0.7410478625660749,0.7149280788705337,0.689624538415478,0.6651372412009082,0.6414661872268237,0.6186113764932253,0.5965728090001122,0.575350484747485,0.5549444037353433,0.5353545659636874,0.5165809714325171,0.4986236201418325,0.4814825120916335,0.4651576472819202,0.44964902571269255,0.43495664738395057,0.4210805122956943,0.4080206204479237,0.3957769718406387,0.3843495664738394,0.37373840434752575,0.3639434854616978,0.3549648098163555,0.34680237741149883,0.33945618824712787,0.3329262423232425,0.32721253963984287,0.3223150801969289,0.3182338639945006,0.31496889103255793,0.31252016131110094,0.3108876748301296,0.3100714315896439,0.3100714315896439,0.3108876748301296,0.31252016131110094,0.31496889103255793,0.31823386399450054,0.3223150801969289,0.32721253963984287,0.3329262423232426,0.33945618824712787,0.3468023774114988,0.3549648098163555,0.36394348546169775,0.3737384043475258,0.3843495664738394,0.39577697184063876,0.4080206204479237,0.42108051229569426,0.4349566473839507,0.44964902571269255,0.46515764728192033,0.4814825120916335,0.49862362014183237,0.5165809714325171,0.5353545659636874,0.5549444037353435,0.575350484747485,0.5965728090001121,0.6186113764932253,0.6414661872268237,0.6651372412009082,0.689624538415478,0.7149280788705338,0.7410478625660749,0.7679838895021017,0.7957361596786146,0.8243046730956127,0.8536894297530968,0.8838904296510661,0.9149076727895213,0.9467411591684625,0.9793908887878888,1.0128568616478013,1.047139077748199,1.0822375370890829,1.118152239670452,1.1548831854923067,1.1924303745546476,1.2307938068574737,1.2699734824007858,1.3099694011845833],[1.338564710465537,1.2985687916817394,1.2593891161384274,1.2210256838356013,1.1834784947732608,1.1467475489514058,1.1108328463700365,1.075734387029153,1.041452170928755,1.0079861980688427,0.9753364684494161,0.9435029820704752,0.91248573893202,0.8822847390340505,0.8528999823765664,0.8243314689595682,0.7965791987830555,0.7696431718470287,0.7435233881514873,0.7182198476964318,0.6937325504818619,0.6700614965077776,0.647206685774179,0.625168118281066,0.6039457940284387,0.5835397130162971,0.5639498752446411,0.5451762807134709,0.5272189294227863,0.5100778213725873,0.493752956562874,0.4782443349936463,0.46355195666490434,0.4496758215766481,0.43661592972887747,0.4243722811215925,0.41294487575479316,0.40233371362847953,0.3925387947426516,0.38356011909730925,0.3753976866924526,0.36805149752808164,0.3615215516041963,0.35580784892079664,0.35091038947788267,0.34682917327545437,0.3435642003135117,0.3411154705920547,0.33948298411108335,0.33866674087059767,0.33866674087059767,0.33948298411108335,0.3411154705920547,0.3435642003135117,0.3468291732754543,0.35091038947788267,0.35580784892079664,0.36152155160419636,0.36805149752808164,0.37539768669245255,0.38356011909730925,0.3925387947426515,0.4023337136284796,0.41294487575479316,0.42437228112159253,0.43661592972887747,0.44967582157664804,0.46355195666490445,0.4782443349936463,0.4937529565628741,0.5100778213725873,0.5272189294227861,0.5451762807134709,0.5639498752446411,0.5835397130162971,0.6039457940284387,0.6251681182810659,0.647206685774179,0.6700614965077776,0.6937325504818619,0.7182198476964318,0.7435233881514876,0.7696431718470287,0.7965791987830555,0.8243314689595682,0.8528999823765664,0.8822847390340505,0.91248573893202,0.943502982070475,0.9753364684494161,1.0079861980688427,1.0414521709287552,1.075734387029153,1.1108328463700368,1.1467475489514058,1.1834784947732606,1.2210256838356013,1.2593891161384274,1.2985687916817397,1.338564710465537],[1.3688667101584149,1.3288707913746174,1.2896911158313054,1.2513276835284795,1.2137804944661388,1.1770495486442838,1.1411348460629145,1.1060363867220309,1.071754170621633,1.0382881977617207,1.005638468142294,0.9738049817633533,0.942787738624898,0.9125867387269284,0.8832019820694444,0.8546334686524463,0.8268811984759334,0.7999451715399066,0.7738253878443654,0.7485218473893098,0.7240345501747399,0.7003634962006555,0.677508685467057,0.6554701179739439,0.6342477937213167,0.6138417127091751,0.5942518749375191,0.575478280406349,0.5575209291156643,0.5403798210654653,0.5240549562557519,0.5085463346865243,0.49385395635778234,0.47997782126952615,0.4669179294217555,0.4546742808144705,0.44324687544767116,0.43263571332135753,0.4228407944355296,0.41386211879018725,0.4056996863853306,0.39835349722095964,0.3918235512970743,0.38610984861367464,0.38121238917076067,0.3771311729683324,0.3738662000063897,0.3714174702849327,0.36978498380396135,0.3689687405634757,0.3689687405634757,0.36978498380396135,0.3714174702849327,0.3738662000063897,0.3771311729683323,0.38121238917076067,0.38610984861367464,0.39182355129707436,0.39835349722095964,0.4056996863853306,0.41386211879018725,0.4228407944355295,0.4326357133213576,0.44324687544767116,0.4546742808144706,0.4669179294217555,0.47997782126952604,0.49385395635778245,0.5085463346865243,0.524054956255752,0.5403798210654653,0.5575209291156642,0.575478280406349,0.5942518749375191,0.6138417127091752,0.6342477937213167,0.6554701179739439,0.677508685467057,0.7003634962006555,0.7240345501747399,0.7485218473893098,0.7738253878443655,0.7999451715399066,0.8268811984759334,0.8546334686524463,0.8832019820694444,0.9125867387269285,0.942787738624898,0.9738049817633531,1.005638468142294,1.0382881977617207,1.0717541706216331,1.1060363867220309,1.1411348460629147,1.1770495486442838,1.2137804944661386,1.2513276835284795,1.2896911158313054,1.3288707913746176,1.3688667101584149],[1.40092486955052,1.3609289507667226,1.3217492752234106,1.2833858429205844,1.245838653858244,1.209107708036389,1.1731930054550197,1.138094546114136,1.1038123300137381,1.0703463571538259,1.0376966275343993,1.0058631411554584,0.9748458980170032,0.9446448981190336,0.9152601414615495,0.8866916280445514,0.8589393578680387,0.8320033309320118,0.8058835472364705,0.7805800067814149,0.756092709566845,0.7324216555927607,0.7095668448591621,0.6875282773660492,0.6663059531134219,0.6458998721012803,0.6263100343296243,0.6075364397984541,0.5895790885077694,0.5724379804575704,0.5561131156478571,0.5406044940786294,0.5259121157498875,0.5120359806616313,0.49897608881386063,0.48673244020657563,0.4753050348397763,0.4646938727134627,0.45489895382763473,0.4459202781822924,0.43775784577743576,0.4304116566130648,0.42388171068917946,0.4181680080057798,0.4132705485628658,0.40918933236043753,0.40592435939849486,0.4034756296770379,0.4018431431960665,0.40102689995558083,0.40102689995558083,0.4018431431960665,0.4034756296770379,0.40592435939849486,0.4091893323604375,0.4132705485628658,0.4181680080057798,0.4238817106891795,0.4304116566130648,0.4377578457774357,0.4459202781822924,0.4548989538276347,0.46469387271346274,0.4753050348397763,0.4867324402065757,0.49897608881386063,0.5120359806616313,0.5259121157498876,0.5406044940786294,0.5561131156478573,0.5724379804575704,0.5895790885077693,0.6075364397984541,0.6263100343296243,0.6458998721012803,0.6663059531134219,0.687528277366049,0.7095668448591621,0.7324216555927607,0.756092709566845,0.7805800067814149,0.8058835472364707,0.8320033309320118,0.8589393578680387,0.8866916280445514,0.9152601414615495,0.9446448981190336,0.9748458980170032,1.0058631411554582,1.0376966275343993,1.0703463571538259,1.1038123300137384,1.138094546114136,1.17319300545502,1.209107708036389,1.2458386538582438,1.2833858429205844,1.3217492752234106,1.3609289507667228,1.40092486955052],[1.4347886579291538,1.3947927391453563,1.3556130636020443,1.3172496312992181,1.2797024422368777,1.2429714964150227,1.2070567938336532,1.1719583344927695,1.1376761183923718,1.1042101455324596,1.071560415913033,1.039726929534092,1.0087096863956369,0.9785086864976672,0.9491239298401832,0.9205554164231851,0.8928031462466723,0.8658671193106455,0.8397473356151042,0.8144437951600485,0.7899564979454787,0.7662854439713943,0.7434306332377958,0.7213920657446828,0.7001697414920556,0.6797636604799139,0.6601738227082579,0.6414002281770876,0.6234428768864031,0.606301768836204,0.5899769040264908,0.5744682824572631,0.5597759041285212,0.5458997690402649,0.5328398771924943,0.5205962285852093,0.50916882321841,0.4985576610920963,0.48876274220626836,0.47978406656092604,0.4716216341560694,0.4642754449916984,0.4577454990678131,0.45203179638441343,0.44713433694149946,0.44305312073907116,0.4397881477771285,0.4373394180556715,0.43570693157470014,0.43489068833421446,0.43489068833421446,0.43570693157470014,0.4373394180556715,0.4397881477771285,0.4430531207390711,0.44713433694149946,0.45203179638441343,0.45774549906781314,0.4642754449916984,0.4716216341560694,0.47978406656092604,0.4887627422062683,0.49855766109209637,0.50916882321841,0.5205962285852094,0.5328398771924943,0.5458997690402648,0.5597759041285212,0.5744682824572631,0.5899769040264908,0.606301768836204,0.623442876886403,0.6414002281770876,0.6601738227082579,0.679763660479914,0.7001697414920556,0.7213920657446826,0.7434306332377958,0.7662854439713943,0.7899564979454787,0.8144437951600485,0.8397473356151044,0.8658671193106455,0.8928031462466723,0.9205554164231851,0.9491239298401832,0.9785086864976673,1.0087096863956369,1.0397269295340918,1.071560415913033,1.1042101455324596,1.1376761183923718,1.1719583344927695,1.2070567938336536,1.2429714964150227,1.2797024422368772,1.3172496312992181,1.3556130636020443,1.3947927391453563,1.4347886579291538],[1.4705075445816185,1.4305116257978208,1.391331950254509,1.3529685179516828,1.3154213288893422,1.2786903830674872,1.242775680486118,1.2076772211452345,1.1733950050448363,1.139929032184924,1.1072793025654977,1.0754458161865568,1.0444285730481013,1.0142275731501318,0.9848428164926479,0.9562743030756498,0.928522032899137,0.9015860059631102,0.8754662222675689,0.8501626818125132,0.8256753845979434,0.802004330623859,0.7791495198902605,0.7571109523971475,0.7358886281445203,0.7154825471323786,0.6958927093607226,0.6771191148295523,0.6591617635388678,0.6420206554886687,0.6256957906789555,0.6101871691097278,0.5954947907809859,0.5816186556927296,0.568558763844959,0.556315115237674,0.5448877098708746,0.534276547744561,0.5244816288587331,0.5155029532133908,0.5073405208085341,0.4999943316441631,0.4934643857202778,0.48775068303687813,0.48285322359396415,0.47877200739153586,0.4755070344295932,0.4730583047081362,0.47142581822716484,0.47060957498667916,0.47060957498667916,0.47142581822716484,0.4730583047081362,0.4755070344295932,0.4787720073915358,0.48285322359396415,0.48775068303687813,0.49346438572027784,0.4999943316441631,0.5073405208085341,0.5155029532133908,0.5244816288587331,0.534276547744561,0.5448877098708746,0.5563151152376741,0.568558763844959,0.5816186556927295,0.5954947907809859,0.6101871691097278,0.6256957906789555,0.6420206554886687,0.6591617635388677,0.6771191148295523,0.6958927093607226,0.7154825471323787,0.7358886281445203,0.7571109523971473,0.7791495198902605,0.802004330623859,0.8256753845979434,0.8501626818125132,0.8754662222675691,0.9015860059631102,0.928522032899137,0.9562743030756498,0.9848428164926479,1.014227573150132,1.0444285730481013,1.0754458161865565,1.1072793025654977,1.139929032184924,1.1733950050448367,1.2076772211452345,1.242775680486118,1.2786903830674872,1.3154213288893422,1.3529685179516828,1.391331950254509,1.4305116257978212,1.4705075445816185],[1.5081309987952167,1.4681350800114192,1.4289554044681072,1.3905919721652813,1.3530447831029406,1.3163138372810856,1.2803991346997163,1.2453006753588327,1.2110184592584348,1.1775524863985225,1.144902756779096,1.113069270400155,1.0820520272616998,1.0518510273637303,1.0224662707062464,0.9938977572892481,0.9661454871127353,0.9392094601767085,0.9130896764811672,0.8877861360261117,0.8632988388115418,0.8396277848374574,0.8167729741038589,0.7947344066107458,0.7735120823581185,0.7531060013459769,0.7335161635743209,0.7147425690431508,0.6967852177524662,0.6796441097022672,0.6633192448925538,0.6478106233233262,0.6331182449945842,0.619242109906328,0.6061822180585573,0.5939385694512723,0.582511164084473,0.5719000019581594,0.5621050830723314,0.5531264074269892,0.5449639750221325,0.5376177858577614,0.5310878399338761,0.5253741372504765,0.5204766778075626,0.5163954616051342,0.5131304886431916,0.5106817589217345,0.5090492724407633,0.5082330292002776,0.5082330292002776,0.5090492724407633,0.5106817589217345,0.5131304886431916,0.5163954616051342,0.5204766778075626,0.5253741372504765,0.5310878399338762,0.5376177858577614,0.5449639750221325,0.5531264074269892,0.5621050830723314,0.5719000019581595,0.582511164084473,0.5939385694512724,0.6061822180585573,0.6192421099063279,0.6331182449945842,0.6478106233233262,0.6633192448925539,0.6796441097022672,0.696785217752466,0.7147425690431508,0.7335161635743209,0.753106001345977,0.7735120823581185,0.7947344066107458,0.8167729741038589,0.8396277848374574,0.8632988388115418,0.8877861360261117,0.9130896764811673,0.9392094601767085,0.9661454871127353,0.9938977572892481,1.0224662707062464,1.0518510273637305,1.0820520272616998,1.113069270400155,1.144902756779096,1.1775524863985225,1.211018459258435,1.2453006753588327,1.2803991346997166,1.3163138372810856,1.3530447831029404,1.3905919721652813,1.4289554044681072,1.4681350800114195,1.5081309987952167],[1.54770848985725,1.5077125710734525,1.4685328955301404,1.4301694632273145,1.3926222741649739,1.3558913283431189,1.3199766257617496,1.284878166420866,1.250595950320468,1.2171299774605557,1.1844802478411292,1.1526467614621883,1.121629518323733,1.0914285184257635,1.0620437617682796,1.0334752483512815,1.0057229781747685,0.9787869512387417,0.9526671675432005,0.9273636270881449,0.902876329873575,0.8792052758994906,0.8563504651658921,0.834311897672779,0.8130895734201518,0.7926834924080102,0.7730936546363542,0.754320060105184,0.7363627088144994,0.7192216007643004,0.702896735954587,0.6873881143853594,0.6726957360566175,0.6588196009683612,0.6457597091205906,0.6335160605133056,0.6220886551465062,0.6114774930201926,0.6016825741343647,0.5927038984890224,0.5845414660841657,0.5771952769197947,0.5706653309959093,0.5649516283125098,0.5600541688695958,0.5559729526671674,0.5527079797052248,0.5502592499837677,0.5486267635027965,0.5478105202623108,0.5478105202623108,0.5486267635027965,0.5502592499837677,0.5527079797052248,0.5559729526671674,0.5600541688695958,0.5649516283125098,0.5706653309959094,0.5771952769197947,0.5845414660841657,0.5927038984890224,0.6016825741343647,0.6114774930201927,0.6220886551465062,0.6335160605133057,0.6457597091205906,0.6588196009683611,0.6726957360566175,0.6873881143853594,0.7028967359545871,0.7192216007643004,0.7363627088144993,0.754320060105184,0.7730936546363542,0.7926834924080103,0.8130895734201518,0.834311897672779,0.8563504651658921,0.8792052758994906,0.902876329873575,0.9273636270881449,0.9526671675432006,0.9787869512387417,1.0057229781747685,1.0334752483512815,1.0620437617682796,1.0914285184257637,1.121629518323733,1.1526467614621883,1.1844802478411292,1.2171299774605557,1.2505959503204682,1.284878166420866,1.3199766257617498,1.3558913283431189,1.3926222741649736,1.4301694632273145,1.4685328955301404,1.5077125710734527,1.54770848985725],[1.5892894870550214,1.5492935682712239,1.5101138927279119,1.4717504604250857,1.4342032713627453,1.3974723255408903,1.3615576229595208,1.3264591636186371,1.2921769475182394,1.2587109746583272,1.2260612450389006,1.1942277586599597,1.1632105155215045,1.133009515623535,1.1036247589660508,1.0750562455490527,1.04730397537254,1.0203679484365131,0.9942481647409718,0.9689446242859161,0.9444573270713463,0.9207862730972619,0.8979314623636634,0.8758928948705504,0.8546705706179232,0.8342644896057815,0.8146746518341255,0.7959010573029552,0.7779437060122707,0.7608025979620716,0.7444777331523584,0.7289691115831307,0.7142767332543888,0.7004005981661325,0.6873407063183619,0.6750970577110769,0.6636696523442775,0.6530584902179639,0.643263571332136,0.6342848956867937,0.626122463281937,0.618776274117566,0.6122463281936807,0.606532625510281,0.6016351660673671,0.5975539498649387,0.5942889769029961,0.591840247181539,0.5902077607005678,0.5893915174600821,0.5893915174600821,0.5902077607005678,0.591840247181539,0.5942889769029961,0.5975539498649387,0.6016351660673671,0.606532625510281,0.6122463281936807,0.618776274117566,0.626122463281937,0.6342848956867937,0.643263571332136,0.6530584902179639,0.6636696523442775,0.675097057711077,0.6873407063183619,0.7004005981661324,0.7142767332543888,0.7289691115831307,0.7444777331523584,0.7608025979620716,0.7779437060122706,0.7959010573029552,0.8146746518341255,0.8342644896057816,0.8546705706179232,0.8758928948705502,0.8979314623636634,0.9207862730972619,0.9444573270713463,0.9689446242859161,0.994248164740972,1.0203679484365131,1.04730397537254,1.0750562455490527,1.1036247589660508,1.133009515623535,1.1632105155215045,1.1942277586599594,1.2260612450389006,1.2587109746583272,1.2921769475182394,1.3264591636186371,1.3615576229595212,1.3974723255408903,1.4342032713627448,1.4717504604250857,1.5101138927279119,1.5492935682712239,1.5892894870550214],[1.632923459675832,1.5929275408920343,1.5537478653487224,1.515384433045896,1.4778372439835556,1.4411062981617007,1.4051915955803314,1.3700931362394477,1.3358109201390498,1.3023449472791375,1.2696952176597112,1.2378617312807703,1.2068444881423148,1.1766434882443453,1.1472587315868612,1.118690218169863,1.0909379479933503,1.0640019210573235,1.0378821373617821,1.0125785969067267,0.9880912996921568,0.9644202457180724,0.9415654349844739,0.9195268674913608,0.8983045432387335,0.877898462226592,0.8583086244549359,0.8395350299237658,0.8215776786330812,0.8044365705828822,0.7881117057731688,0.7726030842039412,0.7579107058751993,0.744034570786943,0.7309746789391723,0.7187310303318873,0.707303624965088,0.6966924628387744,0.6868975439529464,0.6779188683076042,0.6697564359027475,0.6624102467383765,0.6558803008144911,0.6501665981310916,0.6452691386881776,0.6411879224857492,0.6379229495238066,0.6354742198023495,0.6338417333213783,0.6330254900808926,0.6330254900808926,0.6338417333213783,0.6354742198023495,0.6379229495238066,0.6411879224857492,0.6452691386881776,0.6501665981310916,0.6558803008144912,0.6624102467383765,0.6697564359027475,0.6779188683076042,0.6868975439529464,0.6966924628387745,0.707303624965088,0.7187310303318875,0.7309746789391723,0.7440345707869429,0.7579107058751993,0.7726030842039412,0.7881117057731689,0.8044365705828822,0.8215776786330811,0.8395350299237658,0.8583086244549359,0.8778984622265921,0.8983045432387335,0.9195268674913608,0.9415654349844739,0.9644202457180724,0.9880912996921568,1.0125785969067267,1.0378821373617824,1.0640019210573235,1.0909379479933503,1.118690218169863,1.1472587315868612,1.1766434882443453,1.2068444881423148,1.2378617312807698,1.2696952176597112,1.3023449472791375,1.33581092013905,1.3700931362394477,1.4051915955803316,1.4411062981617007,1.4778372439835554,1.515384433045896,1.5537478653487224,1.5929275408920345,1.632923459675832],[1.6786598770069847,1.6386639582231872,1.5994842826798752,1.561120850377049,1.5235736613147086,1.4868427154928536,1.450928012911484,1.4158295535706005,1.3815473374702028,1.3480813646102905,1.315431634990864,1.283598148611923,1.2525809054734678,1.2223799055754982,1.1929951489180142,1.164426635501016,1.1366743653245033,1.1097383383884765,1.083618554692935,1.0583150142378794,1.0338277170233097,1.0101566630492251,0.9873018523156267,0.9652632848225138,0.9440409605698865,0.9236348795577448,0.9040450417860888,0.8852714472549186,0.867314095964234,0.850172987914035,0.8338481231043218,0.818339501535094,0.8036471232063521,0.7897709881180959,0.7767110962703252,0.7644674476630402,0.7530400422962409,0.7424288801699273,0.7326339612840993,0.723655285638757,0.7154928532339003,0.7081466640695293,0.7016167181456441,0.6959030154622443,0.6910055560193304,0.686924339816902,0.6836593668549594,0.6812106371335024,0.6795781506525311,0.6787619074120455,0.6787619074120455,0.6795781506525311,0.6812106371335024,0.6836593668549594,0.686924339816902,0.6910055560193304,0.6959030154622443,0.7016167181456441,0.7081466640695293,0.7154928532339003,0.723655285638757,0.7326339612840993,0.7424288801699273,0.7530400422962409,0.7644674476630403,0.7767110962703252,0.7897709881180958,0.8036471232063521,0.818339501535094,0.8338481231043218,0.850172987914035,0.8673140959642339,0.8852714472549186,0.9040450417860888,0.9236348795577449,0.9440409605698865,0.9652632848225136,0.9873018523156267,1.0101566630492251,1.0338277170233097,1.0583150142378794,1.0836185546929353,1.1097383383884765,1.1366743653245033,1.164426635501016,1.1929951489180142,1.2223799055754982,1.2525809054734678,1.2835981486119228,1.315431634990864,1.3480813646102905,1.3815473374702028,1.4158295535706005,1.4509280129114845,1.4868427154928536,1.5235736613147082,1.561120850377049,1.5994842826798752,1.6386639582231872,1.6786598770069847],[1.726548208335781,1.6865522895519836,1.6473726140086715,1.6090091817058454,1.571461992643505,1.53473104682165,1.4988163442402804,1.4637178848993968,1.429435668798999,1.3959696959390868,1.3633199663196602,1.3314864799407193,1.3004692368022641,1.2702682369042946,1.2408834802468105,1.2123149668298123,1.1845626966532996,1.1576266697172728,1.1315068860217314,1.1062033455666758,1.081716048352106,1.0580449943780215,1.035190183644423,1.01315161615131,0.9919292918986828,0.9715232108865411,0.9519333731148851,0.9331597785837149,0.9152024272930304,0.8980613192428313,0.8817364544331181,0.8662278328638904,0.8515354545351485,0.8376593194468922,0.8245994275991215,0.8123557789918365,0.8009283736250372,0.7903172114987236,0.7805222926128956,0.7715436169675534,0.7633811845626967,0.7560349953983256,0.7495050494744404,0.7437913467910406,0.7388938873481268,0.7348126711456984,0.7315476981837558,0.7290989684622987,0.7274664819813275,0.7266502387408418,0.7266502387408418,0.7274664819813275,0.7290989684622987,0.7315476981837558,0.7348126711456984,0.7388938873481268,0.7437913467910406,0.7495050494744404,0.7560349953983256,0.7633811845626967,0.7715436169675534,0.7805222926128956,0.7903172114987236,0.8009283736250372,0.8123557789918366,0.8245994275991215,0.8376593194468921,0.8515354545351485,0.8662278328638904,0.8817364544331181,0.8980613192428313,0.9152024272930303,0.9331597785837149,0.9519333731148851,0.9715232108865413,0.9919292918986828,1.0131516161513099,1.035190183644423,1.0580449943780215,1.081716048352106,1.1062033455666758,1.1315068860217317,1.1576266697172728,1.1845626966532996,1.2123149668298123,1.2408834802468105,1.2702682369042946,1.3004692368022641,1.3314864799407191,1.3633199663196602,1.3959696959390868,1.429435668798999,1.4637178848993968,1.4988163442402809,1.53473104682165,1.5714619926435045,1.6090091817058454,1.6473726140086715,1.6865522895519836,1.726548208335781],[1.7766379229495235,1.736642004165726,1.697462328622414,1.659098896319588,1.6215517072572474,1.5848207614353924,1.548906058854023,1.5138075995131395,1.4795253834127415,1.4460594105528293,1.4134096809334027,1.3815761945544618,1.3505589514160066,1.320357951518037,1.2909731948605532,1.262404681443555,1.234652411267042,1.2077163843310152,1.1815966006354741,1.1562930601804184,1.1318057629658487,1.1081347089917641,1.0852798982581655,1.0632413307650526,1.0420190065124253,1.0216129255002837,1.0020230877286278,0.9832494931974576,0.9652921419067729,0.948151033856574,0.9318261690468606,0.9163175474776329,0.901625169148891,0.8877490340606348,0.8746891422128641,0.8624454936055791,0.8510180882387798,0.8404069261124661,0.8306120072266382,0.8216333315812959,0.8134708991764392,0.8061247100120682,0.7995947640881829,0.7938810614047833,0.7889836019618693,0.7849023857594409,0.7816374127974983,0.7791886830760413,0.77755619659507,0.7767399533545843,0.7767399533545843,0.77755619659507,0.7791886830760413,0.7816374127974983,0.7849023857594409,0.7889836019618693,0.7938810614047833,0.799594764088183,0.8061247100120682,0.8134708991764392,0.8216333315812959,0.8306120072266382,0.8404069261124663,0.8510180882387798,0.8624454936055792,0.8746891422128641,0.8877490340606347,0.901625169148891,0.9163175474776329,0.9318261690468607,0.948151033856574,0.9652921419067728,0.9832494931974576,1.0020230877286278,1.0216129255002837,1.0420190065124253,1.0632413307650526,1.0852798982581655,1.1081347089917641,1.1318057629658487,1.1562930601804184,1.1815966006354741,1.2077163843310152,1.234652411267042,1.262404681443555,1.2909731948605532,1.3203579515180373,1.3505589514160066,1.3815761945544618,1.4134096809334027,1.4460594105528293,1.4795253834127418,1.5138075995131395,1.5489060588540233,1.5848207614353924,1.6215517072572472,1.659098896319588,1.697462328622414,1.7366420041657262,1.7766379229495235],[1.828978490135515,1.7889825713517173,1.7498028958084055,1.7114394635055794,1.6738922744432387,1.6371613286213837,1.6012466260400147,1.566148166699131,1.5318659505987329,1.4983999777388206,1.4657502481193943,1.4339167617404533,1.402899518601998,1.3726985187040284,1.3433137620465445,1.3147452486295463,1.2869929784530336,1.2600569515170068,1.2339371678214655,1.2086336273664098,1.18414633015184,1.1604752761777557,1.137620465444157,1.1155818979510441,1.0943595736984169,1.0739534926862753,1.0543636549146191,1.035590060383449,1.0176327090927644,1.0004916010425653,0.9841667362328521,0.9686581146636244,0.9539657363348825,0.9400896012466262,0.9270297093988555,0.9147860607915705,0.9033586554247712,0.8927474932984576,0.8829525744126296,0.8739738987672874,0.8658114663624307,0.8584652771980597,0.8519353312741744,0.8462216285907747,0.8413241691478608,0.8372429529454324,0.8339779799834898,0.8315292502620327,0.8298967637810615,0.8290805205405758,0.8290805205405758,0.8298967637810615,0.8315292502620327,0.8339779799834898,0.8372429529454324,0.8413241691478608,0.8462216285907747,0.8519353312741744,0.8584652771980597,0.8658114663624307,0.8739738987672874,0.8829525744126296,0.8927474932984576,0.9033586554247712,0.9147860607915707,0.9270297093988555,0.9400896012466261,0.9539657363348825,0.9686581146636244,0.9841667362328521,1.0004916010425653,1.0176327090927642,1.035590060383449,1.0543636549146191,1.0739534926862753,1.0943595736984169,1.115581897951044,1.137620465444157,1.1604752761777557,1.18414633015184,1.2086336273664098,1.2339371678214657,1.2600569515170068,1.2869929784530336,1.3147452486295463,1.3433137620465445,1.3726985187040286,1.402899518601998,1.4339167617404531,1.4657502481193943,1.4983999777388206,1.5318659505987333,1.566148166699131,1.6012466260400147,1.6371613286213837,1.6738922744432387,1.7114394635055794,1.7498028958084055,1.7889825713517178,1.828978490135515],[1.8836193791810565,1.843623460397259,1.804443784853947,1.7660803525511208,1.7285331634887804,1.6918022176669254,1.6558875150855559,1.6207890557446722,1.5865068396442745,1.5530408667843623,1.5203911371649357,1.4885576507859948,1.4575404076475396,1.42733940774957,1.397954651092086,1.3693861376750878,1.341633867498575,1.3146978405625482,1.2885780568670069,1.2632745164119512,1.2387872191973814,1.215116165223297,1.1922613544896985,1.1702227869965856,1.1490004627439583,1.1285943817318165,1.1090045439601606,1.0902309494289903,1.0722735981383058,1.0551324900881067,1.0388076252783935,1.0232990037091658,1.0086066253804238,0.9947304902921676,0.981670598444397,0.969426949837112,0.9579995444703127,0.947388382343999,0.9375934634581711,0.9286147878128288,0.9204523554079721,0.9131061662436011,0.9065762203197159,0.9008625176363161,0.8959650581934022,0.8918838419909738,0.8886188690290312,0.8861701393075742,0.8845376528266029,0.8837214095861172,0.8837214095861172,0.8845376528266029,0.8861701393075742,0.8886188690290312,0.8918838419909738,0.8959650581934022,0.9008625176363161,0.9065762203197159,0.9131061662436011,0.9204523554079721,0.9286147878128288,0.9375934634581711,0.947388382343999,0.9579995444703127,0.9694269498371121,0.981670598444397,0.9947304902921675,1.008606625380424,1.0232990037091658,1.0388076252783935,1.0551324900881067,1.0722735981383056,1.0902309494289903,1.1090045439601606,1.1285943817318167,1.1490004627439583,1.1702227869965853,1.1922613544896985,1.215116165223297,1.2387872191973814,1.2632745164119512,1.288578056867007,1.3146978405625482,1.341633867498575,1.3693861376750878,1.397954651092086,1.42733940774957,1.4575404076475396,1.4885576507859946,1.5203911371649357,1.5530408667843623,1.5865068396442745,1.6207890557446722,1.6558875150855563,1.6918022176669254,1.72853316348878,1.7660803525511208,1.804443784853947,1.843623460397259,1.8836193791810565],[1.940610059373451,1.9006141405896535,1.8614344650463415,1.8230710327435156,1.785523843681175,1.74879289785932,1.7128781952779506,1.677779735937067,1.643497519836669,1.6100315469767568,1.5773818173573302,1.5455483309783893,1.514531087839934,1.4843300879419645,1.4549453312844807,1.4263768178674825,1.3986245476909696,1.3716885207549427,1.3455687370594016,1.320265196604346,1.2957778993897762,1.2721068454156916,1.249252034682093,1.22721346718898,1.2059911429363528,1.1855850619242112,1.1659952241525553,1.147221629621385,1.1292642783307003,1.1121231702805014,1.095798305470788,1.0802896839015603,1.0655973055728185,1.0517211704845622,1.0386612786367917,1.0264176300295067,1.0149902246627074,1.0043790625363935,0.9945841436505657,0.9856054680052234,0.9774430356003667,0.9700968464359957,0.9635669005121104,0.9578531978287108,0.9529557383857968,0.9488745221833684,0.9456095492214258,0.9431608194999688,0.9415283330189975,0.9407120897785118,0.9407120897785118,0.9415283330189975,0.9431608194999688,0.9456095492214258,0.9488745221833684,0.9529557383857968,0.9578531978287108,0.9635669005121105,0.9700968464359957,0.9774430356003667,0.9856054680052234,0.9945841436505657,1.0043790625363938,1.0149902246627074,1.0264176300295067,1.0386612786367917,1.0517211704845622,1.0655973055728185,1.0802896839015603,1.0957983054707883,1.1121231702805014,1.1292642783307003,1.147221629621385,1.1659952241525553,1.1855850619242112,1.2059911429363528,1.22721346718898,1.249252034682093,1.2721068454156916,1.2957778993897762,1.320265196604346,1.3455687370594016,1.3716885207549427,1.3986245476909696,1.4263768178674825,1.4549453312844807,1.4843300879419647,1.514531087839934,1.5455483309783893,1.5773818173573302,1.6100315469767568,1.6434975198366693,1.677779735937067,1.7128781952779508,1.74879289785932,1.7855238436811747,1.8230710327435156,1.8614344650463415,1.9006141405896537,1.940610059373451],[2.0,1.9600040812162023,1.9208244056728905,1.8824609733700643,1.8449137843077237,1.8081828384858687,1.7722681359044996,1.737169676563616,1.7028874604632178,1.6694214876033056,1.6367717579838792,1.6049382716049383,1.5739210284664829,1.5437200285685133,1.5143352719110295,1.4857667584940313,1.4580144883175186,1.4310784613814918,1.4049586776859504,1.3796551372308947,1.355167840016325,1.3314967860422406,1.308641975308642,1.286603407815529,1.2653810835629018,1.2449750025507602,1.225385164779104,1.2066115702479339,1.1886542189572493,1.1715131109070502,1.155188246097337,1.1396796245281093,1.1249872461993673,1.1111111111111112,1.0980512192633405,1.0858075706560555,1.0743801652892562,1.0637690031629425,1.0539740842771146,1.0449954086317723,1.0368329762269157,1.0294867870625446,1.0229568411386594,1.0172431384552596,1.0123456790123457,1.0082644628099173,1.0049994898479746,1.0025507601265178,1.0009182736455464,1.0001020304050607,1.0001020304050607,1.0009182736455464,1.0025507601265178,1.0049994898479746,1.0082644628099173,1.0123456790123457,1.0172431384552596,1.0229568411386594,1.0294867870625446,1.0368329762269155,1.0449954086317723,1.0539740842771146,1.0637690031629425,1.0743801652892562,1.0858075706560555,1.0980512192633405,1.1111111111111112,1.1249872461993675,1.1396796245281093,1.155188246097337,1.1715131109070502,1.188654218957249,1.2066115702479339,1.225385164779104,1.2449750025507602,1.2653810835629018,1.2866034078155288,1.308641975308642,1.3314967860422406,1.355167840016325,1.3796551372308947,1.4049586776859506,1.4310784613814918,1.4580144883175186,1.4857667584940313,1.5143352719110295,1.5437200285685135,1.5739210284664829,1.604938271604938,1.6367717579838792,1.6694214876033056,1.7028874604632183,1.737169676563616,1.7722681359044996,1.8081828384858687,1.8449137843077237,1.8824609733700643,1.9208244056728905,1.9600040812162027,2.0]],"colorbar":{"len":480,"lenmode":"pixels","y":0.0,"yanchor":"bottom"},"colorscale":"Viridis"},{"type":"scatter","name":"Global Minima","mode":"markers","x":[0.0],"y":[0.0],"marker":{"symbol":"diamond","size":10,"line":{"width":3.0,"color":"rgba(255, 0, 255, 1.0)"},"color":"rgba(255, 255, 255, 1.0)"}}],"layout":{"title":{"text":"Function: sum_of_different_powers"},"width":800,"height":800,"xaxis":{"title":{"text":"X"}},"yaxis":{"title":{"text":"Y"}}},"config":{},"frames":null}