# Coefficient data for embedded newform 45.2.e.a.31.1, downloaded from the LMFDB on 19 April 2024.
{"label": "45.2.e.a.31.1", "an_normalized": [[1.0, 0.0], [-0.3535533905932738, -0.6123724356957945], [-0.8660254037844386, -0.5], [0.25, -0.4330127018922193], [0.22360679774997896, -0.3872983346207417], [0.0, 0.7071067811865476], [0.5669467095138409, 0.9819805060619657], [-1.0606601717798212, 0.0], [0.5, 0.8660254037844386], [-0.31622776601683794, 0.0], [0.30151134457776363, 0.5222329678670935], [-0.4330127018922193, 0.25], [0.2773500981126146, -0.4803844614152614], [0.4008918628686366, -0.6943650748294136], [-0.3872983346207417, 0.22360679774997896], [0.125, 0.21650635094610965], [0.9701425001453319, 0.0], [0.3535533905932738, -0.6123724356957945], [-1.8353258709644942, 0.0], [-0.11180339887498948, -0.19364916731037085], [0.0, -1.1338934190276817], [0.21320071635561044, -0.3692744729379982], [-0.31277162108561213, 0.5417363388859614], [0.9185586535436918, 0.5303300858899106], [-0.1, -0.17320508075688773], [-0.3922322702763681, 0.0], [0.0, -1.0], [0.5669467095138409, 0.0], [0.09284766908852593, 0.16081688022566923], [0.27386127875258304, 0.15811388300841897], [0.0, 0.0], [-0.4419417382415922, 0.7654655446197431], [0.0, -0.6030226891555273], [-0.3429971702850177, -0.5940885257860046], [0.50709255283711, 0.0], [0.5, 0.0], [-0.6575959492214292, 0.0], [0.6488856845230502, 1.1239029738980328], [-0.4803844614152614, 0.2773500981126146], [-0.23717082451262844, 0.4107919181288746], [-0.39043440472151514, 0.6762522260005742], [-0.6943650748294136, 0.4008918628686366], [0.6099942813304187, 1.0565410875907486], [0.30151134457776363, 0.0], [0.4472135954999579, 0.0], [0.4423258684646914, 0.0], [-0.5105274702426309, -0.8842595171198449], [0.0, -0.25], [-0.14285714285714285, 0.24743582965269675], [-0.07071067811865475, 0.1224744871391589], [-0.8401680504168059, -0.48507125007266594], [-0.1386750490563073, -0.2401922307076307], [-0.27472112789737807, 0.0], [-0.6123724356957945, 0.3535533905932738], [0.26967994498529685, 0.0], [-0.6013377943029549, -1.0415476122441203], [1.5894388284780525, 0.9176629354822471], [0.06565321642986127, -0.1137147065368355], [0.9113223768657671, -1.5784566588059405], [0.0, 0.22360679774997896], [-0.4481290797651359, -0.7761823345023015], [0.0, 0.0], [-0.5669467095138409, 0.9819805060619657], [0.875, 0.0], [-0.12403473458920845, -0.21483446221182986], [-0.3692744729379982, 0.21320071635561044], [0.18325416653445784, -0.3174055271363692], [0.24253562503633297, -0.42008402520840293], [0.5417363388859614, -0.31277162108561213], [-0.17928429140015906, -0.3105295017040594], [0.23735633163877068, 0.0], [-0.5303300858899106, -0.9185586535436918], [0.4681645887845223, 0.0], [0.23249527748763857, 0.4026936331284146], [0.0, 0.2], [-0.45883146774112354, 0.7947194142390263], [-0.34188172937891387, 0.592156525463792], [0.3396831102433787, 0.19611613513818404], [0.3375263702778072, 0.5846128222154678], [0.11180339887498948, 0.0], [-0.5, 0.8660254037844386], [0.5521576303742327, 0.0], [-0.49393916995360654, -0.8555277382080452], [-0.49099025303098287, -0.2834733547569204], [0.21693045781865616, -0.37573457465108967], [0.43133109281375365, -0.7470873676376284], [0.0, -0.18569533817705186], [-0.31980107453341566, -0.5539117094069973], [-1.58999682000954, 0.0], [-0.15811388300841897, -0.27386127875258304], [0.628970902033151, 0.0], [0.15638581054280606, 0.2708681694429807], [0.0, 0.0], [-0.36099743619057767, 0.6252659008841843], [-0.41039134083406165, 0.7108186533109109], [0.7654655446197431, -0.4419417382415922], [-0.1015346165133619, -0.17586311452816475], [0.20203050891044216, 0.0], [-0.30151134457776363, 0.5222329678670935], [-0.1, 0.0], [0.8955334711889902, 1.5511094719778504], [0.0, 0.6859943405700354], [-0.3941317112657173, 0.6826561487862891], [-0.29417420270727607, 0.5095246653650681], [-0.43915503282683993, -0.253546276418555], [0.09712858623572641, 0.16823164622761327], [0.2900209467136991, 0.0], [-0.4330127018922193, -0.25], [0.4789131426105757, 0.0], [-0.09534625892455924, -0.1651445647689541], [0.5694947974514994, 0.3287979746107146], [-0.1417366773784602, 0.24549512651549144], [0.3762883473534389, -0.651750535912282], [0.0, -1.2977713690461004], [0.13987572123604705, 0.24227185592617448], [0.09284766908852593, 0.0], [0.5547001962252291, 0.0], [-1.2888044650576527, 0.0], [0.5500190982169267, 0.9526610232449336], [0.4107919181288746, -0.23717082451262844], [0.3181818181818182, -0.5511070751355519], [-0.31687511114881484, 0.5488437921637825], [0.6762522260005742, -0.39043440472151514], [0.0, 0.0], [-0.08944271909999159, 0.0], [0.8017837257372732, 0.0], [-0.4436782547080569, 0.0], [0.13258252147247765, 0.22963966338592295], [0.0, -1.2199885626608373], [-0.08770580193070292, 0.15191090506255], [0.26211121699831136, -0.45398994507478646], [-0.26111648393354675, -0.15075567228888181], [-1.040531963428944, -1.802254227558332], [-0.25916052767440806, 0.0], [-0.3872983346207417, -0.22360679774997896], [-1.028991510855053, 0.0], [-0.5126145946300565, -0.8878745226005822], [-0.38306543884143684, -0.2211629342323457], [0.6785511437439767, -1.1752850564985402], [0.1267731382092775, -0.21957751641341997], [0.0, 1.0210549404852618], [-0.08391813582966891, -0.14535047493345277], [0.3344968040028363, 0.0], [-0.125, 0.21650635094610965], [0.08304547985373997, 0.0], [-0.1655211777204736, -0.28669108954049793], [0.24743582965269675, -0.14285714285714285], [-0.1643989873053573, 0.2847473987257497], [-0.6963471324411844, 1.2061086130930254], [0.1224744871391589, -0.07071067811865475], [0.08137884587711594, 0.14095229572048187], [1.9466570535691505, 0.0], [0.48507125007266594, 0.8401680504168059], [0.48349377841522817, 0.0], [0.0, 0.0], [0.0, 0.2773500981126146], [-0.5586608191273356, 0.967628922926592], [0.23866718525271902, -0.4133836909571628], [0.23791547571544325, 0.13736056394868904], [0.19764235376052372, 0.3423265984407288], [-0.7092993656151906, 0.0], [0.7071067811865476, 0.0], [-0.31330417999518295, 0.0], [0.19521720236075757, 0.3381261130002871], [-0.2335496832484569, -0.13483997249264842], [-0.34926773656784976, 0.6049494651800981], [0.3482204546403616, -0.6031355196718399], [0.0, 1.2026755886059097], [0.34615384615384615, 0.5995560487738422], [-0.3067859955389482, 0.0], [-0.9176629354822471, -1.5894388284780525], [0.6099942813304187, 0.0], [0.0, 0.0], [-0.1137147065368355, 0.06565321642986127], [0.11338934190276817, -0.19639610121239315], [-0.07537783614444091, 0.13055824196677338], [-1.5784566588059405, 0.9113223768657671], [0.5621487667468961, 0.9736702254178098], [-0.14948701855038718, 0.0], [0.11180339887498948, -0.19364916731037085], [-0.5203059023730164, 0.0], [-0.22237479499833035, -0.38516444325982163], [0.0, 0.8962581595302718], [0.33174440134851857, -0.5745981582621553], [-0.14704292441876154, 0.25468581598680534], [0.0, 0.0], [0.29250896965085227, 0.5066403971048988], [-0.5105274702426309, 0.0], [0.9819805060619657, -0.5669467095138409], [0.5803810000880093, 0.0], [-0.28942984211696865, -0.5013071917732282], [-0.7577722283113838, -0.4375], [0.35990787537434726, -0.623378726192537], [-0.07179581586177382, 0.12435400084345175], [0.0, 0.2480694691784169], [0.07142857142857142, 0.12371791482634838], [-0.8549645998549157, 0.0], [0.4264014327112209, 0.0], [0.2835524820033344, 0.0], [0.10606601717798213, 0.18371173070873836], [-0.3174055271363692, 0.18325416653445784], [0.6332377902572627, -1.0968000259982231], [-0.10527936095153946, 0.18234920215644926], [-0.42008402520840293, 0.24253562503633297], [0.17460757394239454, 0.3024291894545669], [0.5573864114332941, 0.0], [-0.6255432421712243, 0.0], [0.1386750490563073, 0.0], [-0.5533715710928597, -0.9584676765970461], [0.0, 0.3585685828003181], [0.7572712299036657, -1.3116322453033211], [-0.06868028197434452, 0.11895773785772162], [-0.2055566129482595, -0.11867816581938534], [-0.10253788905369948, -0.17760083354186815], [0.5455954715763788, 0.0], [0.0, 1.0606601717798212], [0.0, 0.0], [-0.1693213653696491, -0.29327320762716563], [-0.4054424270396916, -0.23408229439226114], [0.06741998624632421, -0.11677484162422845], [0.269069117598525, -0.4660413824283704], [0.0, -0.46499055497527714], [0.6361670536733038, 1.1018736590635592], [-1.0022296571715914, 0.0], [0.1, -0.17320508075688773], [-0.5321520841901914, 0.0], [0.1327446623199944, 0.22992049957180422], [0.7947194142390263, -0.45883146774112354], [-0.49561395034131733, 0.8584285429310802], [0.09890707100936805, -0.17131207221604822], [0.592156525463792, -0.34188172937891387], [-0.09847982464479192, -0.17057205980525328], [1.5722922769930041, 0.0], [-0.19611613513818404, -0.3396831102433787], [-0.45662965113740955, 0.0], [-0.45566118843288356, -0.7892283294029703], [0.0, -0.6750527405556144], [0.3889222341312986, -0.6736330697086078], [0.25873849094126034, -0.44814821218396267], [-0.09682458365518543, -0.05590169943749474], [0.354286144520457, 0.6136416027271214], [-0.4499770425732575, 0.0], [0.8660254037844386, -0.5], [-0.4481290797651359, 0.0], [0.06388765649999399, 0.11065666703449763], [-0.4781825347975037, -0.27607881518711636], [-0.5090278103806222, 0.8816620300447741], [0.0, 0.0], [0.0, 0.9878783399072131], [0.03162277660168379, 0.05477225575051661], [0.0, 0.0], [0.2834733547569204, 0.49099025303098287], [-0.37721676807715887, 0.0], [0.15686395128453964, 0.2716963335008319], [-0.37573457465108967, 0.21693045781865616], [0.53125, -0.920151991520966], [0.1871348584655416, -0.3241270827295289], [-0.7470873676376284, 0.43133109281375365], [-0.37282185960072, -0.6457464030007577], [-0.12403473458920845, 0.0], [-0.09284766908852593, 0.16081688022566923], [-0.37068123792912927, 0.0], [0.49330113278256593, 0.8544226254106853], [0.0, 0.6396021490668313], [-0.06142951168339512, 0.1063990353197863], [-0.735767207381959, 1.2743861857286196], [1.3769776380647352, 0.79499841000477], [-0.09162708326722892, -0.1587027635681846], [1.524276902124231, 0.0], [0.0, 0.31622776601683794], [-0.48596539138462963, 0.0], [0.12126781251816648, 0.21004201260420147], [-0.5447047794019222, -0.3144854510165755], [-0.36247325599810615, 0.6278220957736402], [0.06030226891555272, -0.1044465935734187], [0.0, -0.31277162108561213], [-0.3605050608756658, -0.6244130818223642], [-0.9596162302465074, 0.0], [0.0, 0.0], [-0.5378528742004771, 0.0], [0.4474124897039202, 0.774941164108077], [0.6252659008841843, -0.36099743619057767], [-0.6241602131916523, 1.081077201310964], [0.05933908290969267, -0.10277830647412975], [0.7108186533109109, -0.41039134083406165], [-0.11826247919781652, -0.20483662259967567], [-0.8854220041514329, 0.0], [-0.8838834764831844, 0.0], [-0.058823529411764705, 0.0], [-0.029361010975735173, -0.05085476277156078], [0.0, 0.2030692330267238], [0.11704114719613057, -0.2027212135198458], [-0.3505237427021916, 0.6071249316193963], [-0.1749635530559413, -0.10101525445522108], [-0.4075557568177074, -0.705907277725455], [0.6974858324629157, 0.0], [0.5222329678670935, -0.30151134457776363], [0.9847835588179368, 0.0], [0.17349447958987207, 0.30050125348238], [0.08660254037844387, 0.05], [-0.691668501245082, 1.1980049861514992], [0.0575435337648436, -0.09966832412776432], [0.0, -1.7910669423779804], [-0.22941573387056177, -0.39735970711951313], [-0.40081883401970775, 0.0], [0.3429971702850177, -0.5940885257860046], [0.3995111018747447, 0.0], [0.17094086468945693, 0.296078262731896], [0.6826561487862891, -0.3941317112657173], [0.0, 0.0], [0.0, 0.0], [0.5095246653650681, -0.29417420270727607], [-0.39566339326095507, -0.6853090998230794], [0.7900657071763405, 0.0], [0.253546276418555, 0.43915503282683993], [0.3375263702778072, 0.0], [0.9548151257129418, 1.6537883095700798], [0.0, -0.19425717247145283], [-0.055989251095585425, 0.09697622757528539], [0.1956559480312316, -0.338886042793149], [-0.2511655074836764, -0.14501047335684955], [0.25077519565890877, 0.4343553801592561], [-1.7805276290389032, 0.0], [0.25, 0.4330127018922193], [-0.11094003924504582, 0.0], [0.11076975512434226, 0.1918588438173238], [-0.4147509477069983, -0.23945657130528786], [0.41411822278067456, -0.7172738021962556], [0.5788837387409698, -1.0026560471747878], [0.0, 0.19069251784911848], [0.16489491297879383, 0.2856063671889196], [-0.49393916995360654, 0.0], [-0.3287979746107146, -0.5694947974514994], [-0.4924580896481245, 0.0], [-0.08195375470622296, -0.14194806702221516], [0.24549512651549144, -0.1417366773784602], [0.21789388428113732, -0.37740327823346337], [0.24476773194918952, -0.4239501477893962], [-0.651750535912282, 0.3762883473534389], [-0.10846522890932808, -0.18786728732554484], [0.0, 0.0], [-0.6488856845230502, 1.1239029738980328], [0.8099238707340584, 0.0], [-0.6469966392206304, -1.1206310514564426], [0.0, -0.2797514424720941], [0.0, 0.0], [-0.1073656254190038, 0.1859627182121231], [-0.08040844011283461, -0.046423834544262965], [0.1338219318930473, 0.23178638520577988], [-0.16035674514745463, 0.0], [-0.4803844614152614, -0.2773500981126146], [-0.5330017908890261, 0.0], [-0.6386955544948194, -1.1062531509534037], [1.116137407250741, 0.6444022325288263], [0.053074489243427524, -0.09192771195538434], [-0.397499205002385, 0.6884888190323676], [0.0, -1.1000381964338535], [0.052851642258169, 0.09154172965460301], [1.2666715535262227, 0.0], [-0.4743416490252569, 0.0], [2.3684210526315788, 0.0], [0.18395591592967284, 0.3186209927430623], [-0.5511070751355519, 0.3181818181818182], [0.15724272550828775, -0.2723523897009611], [0.10468478451804274, -0.18131936556464984], [0.5488437921637825, -0.31687511114881484], [-0.6263949011662566, -1.084947794422042], [-0.15638581054280606, 0.0], [-0.7808688094430303, 0.0], [0.20795009796401454, 0.0], [-0.1557522394953495, -0.2697707921985813], [0.0, 0.0], [-0.2588901865392489, 0.4484109566669633], [0.20683507599800766, -0.3582488604159193], [0.07745966692414834, 0.044721359549995794], [0.5414961542858665, 0.9378988513262765], [0.10300524052492095, 0.0], [-0.6943650748294136, -0.4008918628686366], [-1.3355302920375367, 0.0], [0.20519567041703082, 0.35540932665545544], [0.38423663968391997, 0.22183912735402844], [-0.20465780403866035, 0.3544777147604347], [-0.9197570345536727, 1.5930659144658448], [0.0, -0.2651650429449553], [0.15289415743128767, 0.26482044885142486], [-0.5089865985592876, 0.0], [-0.6099942813304187, 1.0565410875907486], [-0.1015346165133619, 0.0], [-0.8365832088295998, -1.4490046224518711], [0.15191090506255, -0.08770580193070292], [-0.3034330424545042, 0.5255614462264053], [0.15152288168283162, -0.2624453295839119], [-0.45398994507478646, 0.26211121699831136], [0.30227563311592703, 0.523556754446835], [0.3018927632559766, 0.0], [0.15075567228888181, 0.26111648393354675], [1.706411084976885, 0.0], [-0.1002509414234171, -0.1736397240519698], [0.0, 2.081063926857888], [0.025, -0.04330127018922193], [0.4494385524950301, -0.7784504078016041], [0.22443960062421742, 0.12958026383720403], [0.0, 0.0], [0.8955334711889902, 0.0], [0.22360679774997896, 0.3872983346207417], [0.14888750009563953, 0.0], [-0.19827263883864388, -0.3434182842192855], [0.8911327886790069, 0.5144957554275265], [-0.34612772350390414, 0.5995108030169142], [0.1234661995811987, -0.21384973069207538], [0.0, 1.025229189260113], [0.19706585563285864, 0.34132807439314455], [2.066684891481516, 0.0], [0.2211629342323457, 0.38306543884143684], [-0.44179262430643435, 0.0], [0.24514516892273003, 0.4246038878042234], [-1.1752850564985402, 0.6785511437439767], [-0.39129279043561477, 0.6777389936698861], [-0.635091559369841, 1.1000108482867106], [-0.21957751641341997, 0.1267731382092775], [-0.8285293040085849, -1.4350548501025493], [-1.0709432437247182, 0.0], [0.5105274702426309, -0.8842595171198449], [0.29138575870717925, 0.0], [-0.09701425001453319, -0.16803361008336118], [0.0, 0.16783627165933782], [0.5081306144206187, -0.8801080410577024], [0.07250523667842478, -0.1255827537418382], [-0.28968272975116055, -0.16724840200141816], [-0.19289712886816485, -0.3341076278338227], [-1.4450491525772642, 0.0], [0.21650635094610965, -0.125], [1.3455941277301957, 0.0], [0.0, 0.0], [-0.07191949522280762, -0.041522739926869986], [0.11972828565264393, -0.20737547385349914], [0.5740378478819278, -0.9942627179989935], [0.0, 0.3310423554409472], [-0.6681835438646867, -1.157327846755065], [-0.28603877677367767, 0.0], [-0.2857142857142857, 0.0], [-0.38052119532359524, 0.0], [-0.3563357536091849, -0.6171916298044532], [0.2847473987257497, -0.1643989873053573], [-0.3555340973549829, 0.61580312044197], [0.44983803761985947, -0.7791423363346766], [1.2061086130930254, -0.6963471324411844], [0.49607837082461076, 0.85923294280422], [-1.2270158632758226, 0.0], [-0.1414213562373095, 0.0], [-0.4708816093480111, 0.0], [-0.18814417367671946, -0.325875267956141], [0.0, -0.16275769175423188], [0.09386465089278642, -0.16257834438102145], [0.14064216928154863, -0.24359938288234503], [-1.6858544608470492, -0.9733285267845753], [0.467780269724988, 0.8102191939419526], [0.7009039702739966, 0.0], [0.0, -0.9701425001453319], [0.13987572123604705, 0.0], [-0.20958589477468004, -0.3630134182995303], [-0.41871789467931186, -0.24174688920761409], [0.8365309422123115, -1.4489140940151881], [-0.023211917272131483, 0.04020422005641731], [0.0, 0.0], [-0.5558892655344954, -0.9628284512878927], [0.9254896267654951, 0.0], [0.1386750490563073, -0.2401922307076307], [0.4155813868856491, 0.0], [0.1614429614050549, 0.2796274116779364], [0.967628922926592, -0.5586608191273356], [-0.9666033487932395, 1.6742061108761117], [-0.3678403918973623, 0.6371182478422787], [-0.4133836909571628, 0.23866718525271902], [0.1835325870964494, 0.3178877656956105], [0.5500190982169267, 0.0], [-0.13736056394868904, -0.23791547571544325], [-0.3659114829970786, 0.0], [0.41122049614645845, 0.7122547924393478], [0.0, -0.39528470752104744], [-0.1823843010350213, 0.31589887589559384], [0.2505181352708523, -0.433910138506529], [0.6142712695109416, 0.3546496828075953], [-0.1590909090909091, -0.27555353756777595], [-0.09081532183729996, 0.0], [-0.6123724356957945, -0.3535533905932738], [-0.72502920708711, 0.0], [0.4753126667232223, 0.8232656882456738], [0.2713293789876807, 0.15665208999759148], [0.04517539514526256, -0.07824607964359516], [-0.4512936824065242, 0.7816635870629527], [0.0, -0.39043440472151514], [0.090075469822209, 0.15601529024770314], [0.7198740330653561, 0.0], [0.13483997249264842, 0.2335496832484569], [0.0, 0.0], [0.13456839120487699, 0.23307929065965177], [0.6049494651800981, -0.34926773656784976], [0.7162583696573523, -1.2405958875929846], [-0.022360679774997897, 0.03872983346207417], [-0.6031355196718399, 0.3482204546403616], [0.0, 0.0], [-0.31211457344739685, 0.0], [0.6013377943029549, -1.0415476122441203], [0.8009894870819726, 0.0], [0.13336626734231613, 0.2309971510527054], [0.0, -0.6923076923076923], [-0.11091956367701422, 0.19211831984195998], [-0.952970745432563, 1.6505937492159857], [0.2656844656620286, 0.1533929977694741], [0.2654243731222853, 0.45972849981491726], [-0.4861359120657514, 0.0], [0.0, 1.8353258709644942], [-0.26464865483473854, 0.0], [0.1762610596956927, 0.3052931107888706], [-0.5282705437953743, -0.30499714066520933], [0.3078596479934797, -0.5332285519249769], [-0.26362486509824806, 0.4566116604886569], [0.0, 0.0], [0.13155870289605437, 0.22786635759382498], [0.4819187497721559, 0.0], [0.13130643285972254, 0.0], [-1.2680814613952156, 0.0], [-0.13105560849915568, -0.22699497253739323], [-0.19639610121239315, 0.11338934190276817], [0.34881657615755784, -0.6041680324271089], [0.0, 0.0], [0.13055824196677338, -0.07537783614444091], [0.30434782608695654, 0.5271458979557453], [0.08687444855261388, 0.0], [1.8226447537315342, 0.0], [-1.040531963428944, 0.0], [0.216574040912105, 0.3751172424602665], [0.0, -1.1242975334937921], [0.06485065517506754, -0.11232462966734652], [-0.19437039575580603, 0.3366594009363261], [0.1294595556006309, 0.07474350927519359], [-0.5389132669490335, -0.9334251592286555], [-0.1722921969015792, 0.0], [-0.19364916731037085, 0.11180339887498948], [-1.6767409635301562, 0.0], [0.17181471183502312, 0.2975918103860657], [0.45059812919401826, 0.2601529511865082], [-0.4287464628562721, 0.7426106572325057], [0.10708823421952983, -0.18548226256106173], [0.0, 0.4447495899966607], [0.6199752309730685, 1.0738285994796046], [-0.5126145946300565, 0.0], [0.4481290797651359, -0.7761823345023015], [-0.08528028654224418, 0.0], [-0.170405729136922, -0.2951513807659691], [-0.5745981582621553, 0.33174440134851857], [-0.382718930006306, 0.662888631789319], [-0.25491557319725244, 0.4415267244181843], [0.25468581598680534, -0.14704292441876154], [-0.33927557187198837, -0.5876425282492701], [-1.2711407958211074, 0.0], [0.0, 0.0], [0.6767278951005017, 0.0], [0.06338656910463875, 0.10978875820670998], [0.0, -0.5850179393017045], [0.31636840545719835, -0.5479661521614184], [0.44252223955914405, -0.7664710023956037], [0.4421297585599224, 0.25526373512131545], [-0.1682812647646685, -0.2914717005343561], [0.882695838589317, 0.0], [-1.1338934190276817, 0.0], [-0.25175440748900674, 0.0], [0.12576654244509555, 0.21783404140717325], [-0.5026246899500346, -0.29019050004400465], [-0.6695791605098995, 1.1597451256924625], [0.08362420100070908, -0.14484136487558028], [0.0, 0.5788596842339373], [0.3130439516736308, 0.5422080293008649], [0.12510864843424485, 0.0], [0.4375, 0.7577722283113838], [-0.41630544712181333, 0.0], [0.020797258270192576, 0.03602190798210556], [-0.623378726192537, 0.35990787537434726], [0.020761369963434993, -0.03595974761140381], [0.5600743742103901, -0.9700772721497397], [0.12435400084345175, -0.07179581586177382], [-0.08283153665625823, -0.1434684299576431], [-0.49656353316142077, 0.0], [0.12403473458920845, -0.21483446221182986], [0.49571543086321657, 0.0], [0.6810278833157217, 1.179574895273919], [0.0, -0.14285714285714285], [0.0, 0.0], [-0.28818543935741636, 0.4991518229686048], [0.7404210628107544, 0.42748229992745784], [-0.08219949365267865, -0.14237369936287486], [0.8213015623531819, 0.0], [-0.3692744729379982, -0.21320071635561044], [0.49195203701447265, 0.0], [0.3481735662205922, 0.6030543065465127], [-0.2455636527210174, -0.1417762410016672], [0.12267912301642961, -0.21248647409244853], [0.20429446161135922, -0.35384838721580375], [0.0, -0.21213203435596426], [-0.04079085082240021, -0.07065182610835989], [0.9781669751270669, 0.0], [0.36650833306891567, 0.0], [0.08137884587711594, 0.0], [-0.1422952349318048, -0.24646257657683562], [-1.0968000259982231, 0.6332377902572627], [0.8320693324299039, -1.4411863591885117], [0.8111071056538127, -1.404878717372541], [0.18234920215644926, -0.10527936095153946], [0.1417108577813103, 0.24545040566139684], [-0.5663793758439144, 0.0], [0.48507125007266594, 0.0], [-1.7771432617884426, 0.0], [-0.1412485046474708, -0.24464958654254812], [0.0, -0.3492151478847891], [0.3626203338114211, -0.6280768420189679], [0.7246527140056271, -1.2551353185004253], [-0.4827107920254778, -0.2786932057166471], [0.08038678710581408, 0.1392339995244927], [0.0, 0.0], [0.5417363388859614, 0.31277162108561213], [0.0, 0.0], [-0.9014434652418793, -1.5613458819498842], [-0.12009611535381536, -0.06933752452815364], [-0.02, 0.034641016151377546], [-0.279776268442101, 0.4845867116937481], [0.0, 1.1067431421857195], [0.2793304095636678, 0.483814461463296], [-0.63796177826312, 0.0], [0.17928429140015906, -0.3105295017040594], [0.6369499429264264, 0.0], [-0.3580007778790785, -0.6200755364357442], [-1.3116322453033211, 0.7572712299036657], [0.675156250171107, -1.1694049283440409], [-0.09920947376656813, 0.17183584915586766], [0.11895773785772162, -0.06868028197434452], [0.07924288517503274, 0.13725270326150327], [0.07918075824648958, 0.0], [0.11867816581938534, 0.2055566129482595], [0.11858541225631422, 0.0], [-0.6517108170650255, -1.1287962469988504], [0.0, 0.20507577810739896], [0.1774626765131473, -0.3073743721679312], [-0.17732484140379765, 0.3071356347554708], [-0.4724995385748947, -0.2727977357881894], [0.629511580291707, 1.090346041018211], [-0.6683389638751387, 0.0], [0.5303300858899106, -0.9185586535436918], [1.0990961407704034, 0.0], [0.03922322702763681, 0.06793662204867575], [0.0, 0.0], [-0.07832604499879574, 0.13566468949384036], [0.07826604801948323, -0.13556077167737046], [0.0, 0.3386427307392982], [-0.11721969977468452, -0.20303047565772367], [-0.19521720236075757, 0.0], [0.23408229439226114, 0.4054424270396916], [-0.8186652343647229, 0.0], [0.15581787742632394, 0.26988448042993274], [-0.11677484162422845, 0.06741998624632421], [0.2722684445545449, -0.47158277926622155], [0.11659831115047076, -0.2019541989893401], [-0.4660413824283704, 0.269069117598525], [0.5239016048517747, 0.9074241977701472], [-0.9306800811953776, 0.0], [-0.23249527748763857, 0.4026936331284146], [-0.11616046389935494, 0.0], [-0.1741102273201808, -0.30156775983591994], [0.0, -1.2723341073466077], [-0.05795005569646918, 0.10037244076773087], [0.270232002768764, -0.4680555586265928], [0.867956343536767, 0.5011148285857957], [-0.11564150167375495, -0.20029695636250494], [-0.30814848630853814, 0.0], [-0.17320508075688773, 0.1], [0.34615384615384615, 0.0], [0.8070955641252923, 1.3979305236284711], [0.46085722358554115, 0.2660760420950957], [0.11512943346800043, -0.19941002821319748], [-0.23008949665421113, 0.3985266984930429], [0.0, -0.2654893246399888], [0.0, 0.0], [0.4591672390760286, 0.0], [-0.9176629354822471, 0.0], [-0.4584964319405221, 0.0], [-0.2863513306204547, -0.49597505344958115], [0.8584285429310802, -0.49561395034131733], [-0.15249857033260467, 0.26413527189768715], [-0.07619393177594594, 0.1319717610643751], [-0.17131207221604822, 0.09890707100936805], [0.26629254991798673, 0.46123222613502446], [0.0, 0.0], [-0.6837634587578277, 0.0], [0.1518379236002247, 0.0], [-0.3034572967243526, -0.5256034558540834], [0.0, 0.19695964928958384], [-0.3787770095392851, 0.656061025261043], [0.09462639551305807, -0.16389772476572423], [-1.361645054050021, -0.7861461384965021], [-0.056694670951384085, -0.09819805060619657], [0.8686980107905726, 0.0], [0.0, 0.3922322702763681], [1.2069028582475427, 0.0], [0.26382242650554316, 0.4569538468837068], [0.3954528780062225, 0.22831482556870478], [-0.4516259576969889, 0.7822391047481372], [-1.015439509500212, 1.758792822467187], [0.0, 0.9113223768657671], [0.7698936603433967, 1.333494936139939], [-0.07505866250408015, 0.0], [-0.3375263702778072, 0.5846128222154678], [1.6864463002406882, 0.0], [0.0, 0.0], [-0.6736330697086078, 0.3889222341312986], [0.07479575920067658, -0.12955005512625914], [-0.037371754637596795, 0.06472977780031546], [-0.44814821218396267, 0.25873849094126034], [-0.4478360225172455, -0.7756747444594291], [0.22376224218846047, 0.0], [0.05590169943749474, 0.09682458365518543], [-0.8938067072686304, 0.0], [-0.8373632935103852, -1.4503557687531976], [0.0, -0.708572289040914], [-0.1300764755932541, 0.22529906459700913], [0.018569533817705187, -0.03216337604513384], [0.38969154998823285, 0.22498852128662875], [-0.42651139139256333, -0.7387393998988149], [-0.667124384994991, 0.0], [-1.0, 0.0], [-0.14804664203952106, 0.0], [0.5917813771642473, 1.024995412221557], [0.3880911672511507, 0.22406453988256794], [0.6279093268801501, -1.0875708567027942], [-0.4429280823153373, 0.7671739426692141], [0.0, -0.12777531299998798], [-0.2764536677904321, -0.4788317985517961], [0.2210128406051272, 0.0], [0.27607881518711636, 0.4781825347975037], [-0.07357118927777097, 0.0], [0.07352146220938077, 0.12734290799340267], [0.8816620300447741, -0.5090278103806222], [-0.11013346473215285, 0.19075675652968382], [0.5319534077291135, -0.9213703294462272], [0.0, 0.0], [0.3114159048151075, 0.5393881694247995], [0.36612601296910624, 0.0], [0.49393916995360654, -0.8555277382080452], [0.29250896965085227, 0.0], [0.16442642142942065, 0.28479491602248863], [0.0, -0.06324555320336758], [-0.18245259129220667, 0.3160171580907009], [0.12763186756065772, -0.2210648792799612], [0.0, 0.0], [-0.03641785203646149, -0.063077570029677], [0.0727874525246839, 0.0], [0.0, -0.5669467095138409], [-0.9449860734402582, 0.0], [0.4721812629898962, 0.8178419378805422], [0.3266793038882825, 0.18860838403857944], [0.435285750066007, -0.7539370349250519], [-0.2718747875979052, 0.47090094541656863], [0.0, -0.3137279025690793], [0.2715182303459987, 0.47028337014045946], [-0.28942984211696865, 0.0], [0.4338609156373123, 0.0], [1.3007328723538636, 0.0], [-0.5055107012718832, -0.8755702183726748], [-0.920151991520966, 0.53125], [-0.09015230574682735, 0.15614837397298867], [0.10811249552346708, -0.18725633517970777], [-0.3241270827295289, 0.1871348584655416], [-0.17995393768717363, -0.3116893630962685], [-0.8632200015187277, 0.0], [0.8626621856275073, 0.0], [0.0, 0.0], [0.10769372379266072, 0.1865310012651776], [0.0, 0.74564371920144], [-0.5915536599902116, 1.0246009945063712], [0.7165743639000186, -1.2411432056761817], [0.10741723110591493, 0.06201736729460423], [0.07156562669645132, 0.12395530151376132], [0.4291191239112909, 0.0], [0.16081688022566923, -0.09284766908852593], [-0.07142857142857142, 0.0], [0.2498407135868874, 0.4327368097317529], [0.3210193687528898, 0.18534061896456464], [-0.4990461040596633, 0.8643732075506418], [-0.21374114996372892, 0.3702105314053772], [0.0, -0.9866022655651319], [-0.10673521004472301, -0.18487080675399623], [0.8533417614417335, 0.0], [0.31980107453341566, -0.5539117094069973], [-0.4971545769599045, 0.0], [-0.6033074248395247, -1.0449591124055986], [0.1063990353197863, -0.06142951168339512], [0.0708881205008336, -0.1227818263605087], [-0.4604836255342794, 0.7975810354788931], [1.2743861857286196, -0.735767207381959], [-0.4952843963740575, -0.8578577387159503], [0.1767766952966369, 0.0], [-0.79499841000477, -1.3769776380647352], [-0.6356020963918038, 0.0], [0.1411569346481171, 0.24449098265121846], [0.0, 0.18325416653445784], [-0.1586041597913043, 0.2747104630503119], [0.0, 0.0], [-1.3200625196414304, -0.7621384510621155], [-0.949856685385894, -1.6452000389973347], [0.914111320115019, 0.0], [0.15811388300841897, -0.27386127875258304], [-1.4748194731633095, 0.0], [0.05263968047576973, 0.09117460107822463], [0.42085837429913664, 0.24298269569231482], [-0.14019992744655632, 0.24283339755490588], [-0.07005694441040587, 0.12134218714185145], [0.0, -0.24253562503633297], [-1.1195382856661114, -1.9390971917922646], [0.4894985208925459, 0.0], [0.3144854510165755, 0.5447047794019222], [0.17460757394239454, 0.0], [-0.261751804784916, -0.4533674248603249], [0.6278220957736402, -0.36247325599810615], [-0.9237319310478684, 1.5999506371486192], [0.4180398085749706, -0.7240661880382167], [-0.1044465935734187, 0.06030226891555272], [-0.7306834506711821, -1.2655808608122348], [1.2866160634783337, 0.0], [-0.15638581054280606, 0.2708681694429807], [-0.10419430674707818, 0.0], [0.15619728026264024, 0.2705416254189683], [0.0, 0.7210101217513316], [0.24268133584853774, -0.42033640373835374], [-0.1385917857350474, 0.24004801440480167], [0.8310520332773325, 0.4798081151232537], [-0.15572892154634613, -0.2697304043261791], [-0.5533715710928597, 0.0], [0.0, 0.0], [0.8981550966095068, 0.0], [0.6904766797597254, 1.1959406907853094], [0.4657942525560891, 0.26892643710023856], [0.4827586206896552, -0.8361624588263545], [-0.585858689276241, 1.0147370158821571], [0.0, -0.8948249794078404], [-0.37863561495183284, -0.6558161226516606], [0.30960941226920163, 0.0], [-0.7219948723811553, 0.0], [0.721568539381252, 0.0], [-0.03434014098717226, -0.05947886892886081], [1.081077201310964, -0.6241602131916523], [-0.06859943405700354, 0.11881770515720091], [0.2056773510573183, -0.35624362199745563], [-0.10277830647412975, 0.05933908290969267], [0.924462392487166, 1.6012158334744522], [-0.7186052063706126, 0.0], [-0.8207826816681233, 0.0], [-0.30761366716109845, 0.0], [-0.17079674642128875, -0.29582864256912994], [0.0, 0.23652495839563303], [-0.3753151566642172, 0.6500649201930971], [0.1363988678940947, -0.23624976928744734], [0.7667979486648716, 0.44271100207571645], [0.5109020274676287, 0.884908269263883], [0.5786867299343279, 0.0], [0.7654655446197431, 0.4419417382415922], [0.0, 0.0], [-0.4757393662214094, -0.824004753456098], [0.050942670810849335, 0.029411764705882353], [0.0, 0.0], [-0.2035360594658275, 0.35253479616717354], [0.0, 0.058722021951470346], [-0.10165112213575457, -0.1760649081855163], [-0.5079640961089472, 0.0], [0.1015346165133619, -0.17586311452816475], [-0.811812109790086, 0.0], [-0.050709255283710994, -0.08783100656536799], [-0.2027212135198458, 0.11704114719613057], [0.30390840605392844, -0.5263848001326771], [-0.4724771149439789, 0.818354368496532], [0.6071249316193963, -0.3505237427021916], [0.033709993123162106, 0.058387420812114225], [-1.179179960926116, 0.0], [0.10101525445522108, 0.1749635530559413], [0.7740116263564742, 0.0], [-0.1345345587992625, -0.2330206912141852], [0.0, 0.8151115136354148], [-0.2519674277562734, 0.4364203867263061], [-0.6043808500857671, 1.0468183394702175], [-0.6040404496926218, -0.34874291623145787], [-0.25154192658957664, -0.4356833970869074], [0.5028011423654932, 0.0], [-0.6030226891555273, 0.0], [0.6361670536733038, 0.0], [0.9369842739743565, 1.6229043684166224], [-0.8528475791655802, -0.4923917794089684], [-0.03342631352324378, 0.05789607333198487], [-0.15033444857573872, 0.2603869030610301], [0.0, -0.34698895917974415], [0.4338156187728999, 0.7513906928315935], [0.0, 0.0], [-0.05, -0.08660254037844387], [-0.26651864186110785, 0.0], [0.16648178955300671, 0.28835491804079716], [1.1980049861514992, -0.691668501245082], [-0.3991140631426436, 0.6912858353783117], [-0.11634393668004339, 0.20151360948241148], [-0.09966832412776432, 0.0575435337648436], [0.8467136027179222, 1.4665509793671307], [0.1327446623199944, 0.0], [-0.8955334711889902, 1.5511094719778504], [-0.19889806323953876, 0.0], [0.8282869524032146, 1.4346350848087521], [0.0, 0.45883146774112354], [0.2978565265446728, -0.5159026373413613], [0.33077060082781123, -0.5729114862838532], [0.3471192925763253, 0.20040941700985387], [0.24780697517065867, 0.4292142714655401], [0.5944123680154437, 0.0], [-0.5940885257860046, 0.3429971702850177], [0.3298695623770211, 0.0], [-0.14836060651405208, -0.25696810832407235], [-0.34598676331744177, -0.19975555093737235], [-0.14819960743622645, 0.25668924974130664], [0.06583080186766332, -0.11402229353779302], [0.0, -0.34188172937891387], [0.06575959492214292, 0.11389895949029988], [-1.1830334038213948, 0.0], [-0.7882634225314346, 0.0], [-0.1641330410746532, 0.0], [-0.22966255022367535, -0.3977872055832447], [0.0, 0.0], [0.26218941013778485, -0.45412537956515786], [0.39307306924825103, -0.6808225270250104], [0.0, 0.0], [-0.3272099955018442, -0.566744336953578], [0.26162797606709143, 0.0], [-0.5883484054145521, 0.0], [0.0, 0.0], [-0.1469302084008763, -0.25449058611700126], [0.0, 0.7913267865219101], [-0.11415741278435239, 0.19772643900311124], [0.11409673916179147, -0.19762134920615645], [-0.6842169730736283, -0.39503285358817025], [-0.24423360338468855, -0.4230250099779067], [0.45566118843288356, 0.0], [0.0, -0.50709255283711], [0.5202048710098841, 0.0], [-0.9261255602380778, -1.6040965245205416], [-0.2923064111077339, -0.1687631851389036], [0.1298454946322391, -0.22489899383695006], [0.12977713690461004, -0.22478059477960655], [0.0, -1.9096302514258836], [-0.583383351196948, -1.0104496045629117], [-0.8422226129092579, 0.0], [-0.09712858623572641, 0.16823164622761327], [-0.25887392067622944, 0.0], [-0.12936924547063017, -0.22407410609198133], [0.09697622757528539, -0.055989251095585425], [0.29077680138805734, -0.5036401936664797], [0.581250315348564, -1.0067550780991448], [-0.338886042793149, 0.1956559480312316], [0.5, 0.8660254037844386], [0.2579303520876644, 0.0], [0.14501047335684955, 0.2511655074836764], [0.354286144520457, 0.0], [-0.1609556949949126, -0.2787834414987483], [0.0, -0.5015503913178175], [-0.6592355574189397, 1.1418294796055934], [-0.33748278192994313, 0.5845373249823493], [1.5419821588877654, 0.8902638145194516], [0.03210806495339678, 0.05561279983200485], [-1.155294978850224, 0.0], [0.0, -0.5], [1.5388093527300033, 0.0], [0.2563365344448006, 0.44398790149452416], [0.09607689228305229, 0.05547001962252291], [0.11203226994128397, -0.19404558362557536], [0.6078638537434348, -1.0528510787682461], [0.0, -0.2215395102486845], [-0.4794020790754448, -0.830348758212823], [0.06388765649999399, 0.0], [0.23945657130528786, 0.4147509477069983], [0.6382256462726028, 0.0], [-0.04784256990821226, -0.08286576184568951], [-0.7172738021962556, 0.41411822278067456], [-0.19117589636314983, 0.3311263656834977], [0.0636929755298482, -0.11031946970293832], [-1.0026560471747878, 0.5788837387409698], [0.2545139051903111, 0.44083101502238703], [-0.763155600898672, 0.0], [0.09534625892455924, -0.1651445647689541], [0.8259172193867347, 0.0], [0.0, 0.0], [0.0, -0.32978982595758766], [0.09515422195433268, -0.1648119469795901], [0.06340426249482414, -0.10981940405746923], [0.4277638691040226, 0.24696958497680327], [0.28503285984879134, 0.4936913950847657], [-1.0129423005326694, 0.0], [0.0, 0.6575959492214292], [0.09486832980505137, 0.0]], "angles": [-0.1408466973739873, null, null, 0.012604399406057894, -0.03458777607279917, -0.37193857291114996, -0.1693968315983291, -0.4349632654267485, -0.46729539135259673, -0.06853485349477895, -0.4166666666666667, -0.30332176022479507, -0.48050425563619564, 0.021080804080485956, -0.49805841483713814, -0.27193095029179387, -0.2341979481912562, -0.1572880857448766, -0.3873351014042172, -0.2310671613381716, -0.21239574068433573, -0.028538225972821685, -0.16555506195668462, -0.39626418185336804, -0.09952096492275231, 0.09326954140997726, -0.4811439781009655, -0.2268392064497139, -0.21151536391390047, -0.3552667695235889, -0.28560299108475895, -0.3744573020947504, -0.4976718220936531, -0.29797075614333807, 0.2059296213700446, -0.07036714934198714, 0.17767565268736052, -0.2750350684430989, -0.3600596979484115, -0.08333333333333333, -0.2619069030661424, -0.2918864942157161, -0.1300661794057618, -0.3580707265423983, -0.3202996843336082, -0.22735932579021112, -0.27993271521445834, 0.026407212495063823, -0.06214382003180148, -0.49919511963345187, -0.10603664816120519, -0.3750132727062233, -0.025695277286919584, -0.25, -0.3867065977270845, -0.0012283684082797018, -0.11207476827082091, -0.28906291277061125, -0.14203115770861774, -0.00950613117898689, 0.19061271068516714, -0.47366486915845457, -0.21799259809659277, -0.4166666666666667, -0.14807598506172776, 0.11864019501448546, -0.056969083871600636, -0.3817073312870965, -0.4337874376745758, -0.0619708237692182, -0.4730705030149611, -0.14084260793355585, -0.4755982142098745, -0.45834505537527653, -0.36637447541949875, 0.26914052182201886, -0.4256081822034282, -0.08732763143560128, -0.3424787006484483, -0.47291847612491217, 0.19285215440285014, -0.4279223415439142, -0.3785091928192471, -0.13254635464014466, -0.4668693772727817, -0.14132036627452071, -0.3551210660330057, -0.005860263194884749, -0.11693912703316149, -0.2589566985946969, -0.17343231218285973, -0.01588464570072917, -0.30904085270412074, -0.4911853211344316, -0.2895932715004483, -0.2749392237640269, 0.28432881884777794, -0.2112689712467377, -0.35930242642545446, -0.4082456790252548, 0.023095349251941587, -0.35961750739613974, -0.343708552738186, -0.06326382004521895, 0.2000960903205232, -0.2833725529332949, 0.03590004938879149, -0.1826507710719387, -0.3839216649238153, -0.08982720057494989, -0.26024472500972384, -0.42415084402678294, -0.2876667627862166, -0.07052555941789919, -0.1984146592518651, -0.4703591258878719, -0.3882722149006626, -0.3042278958076336, -0.40419748593529714, -0.05843268463471367, -0.3727797299557095, -0.10177952015343632, 0.06614756418216589, -0.21313178073241315, -0.040433970901776826, -0.17848922968111156, 0.05651205723757909, -0.23215620738543058, -0.15346213088463426, -0.3086220990386627, -0.25585593041601923, -0.32739573896763263, -0.44586846949371484, -0.32832290836688177, -0.4604884948374619, -0.4310343588508524, -0.3210271619437728, -0.4998247522045615, -0.49282866493721217, -0.1744520077412621, -0.38197563840171844, -0.12548342629292442, 0.2707719756312617, -0.13878073410640418, -0.2582952747560759, 0.03796626126016103, 0.1044095208269486, -0.11065040776862706, -0.477899424384283, -0.20328153241582714, -0.3675208248419965, -0.3503553260229464, -0.18675466618461972, 0.18662305963334339, 0.07737778253396371, 0.07200879621846244, -0.22362931722952323, -0.12021445969195202, -0.25, -0.3984679747210232, -0.3948925097238617, -0.31917991335581997, 0.1978933280158267, -0.34801458088386567, -0.3126799848938572, -0.09095062259469552, -0.18224770544212468, -0.03733107559163076], "root": [0.5, -0.8660254037844386]}