# Coefficient data for embedded newform 12.21.d.a.7.8, downloaded from the LMFDB on 24 May 2024.
{"label": "12.21.d.a.7.8", "an_normalized": [[1.0, 0.0], [-0.14291101540237014, 0.9897355412819444], [0.0, 0.5773502691896257], [-0.959152883353327, -0.2828882223688342], [1.1055255573184437, 0.0], [-0.5714240811856706, -0.08250971321272116], [0.0, 0.6771104764203729], [0.4170580403746402, -0.9088798550737412], [-0.3333333333333333, 0.0], [-0.15799177994964994, 1.0941779358735932], [0.0, -1.7853321308868737], [0.16332559133522115, -0.5537671753980491], [1.7453013093904528, 0.0], [-0.6701603038875931, -0.0967665457248181], [0.0, 0.6382754781138146], [0.839948507290002, 0.542666108303529], [1.4582542900346234, 0.0], [0.04763700513412338, -0.32991184709398147], [0.0, -1.2977636564135755], [-1.060368025922779, -0.3127401596931293], [-0.3909299158324181, 0.0], [1.7670066629313672, 0.2551436276555203], [0.0, 0.0726067477051853], [0.5247420289878526, 0.24078857187799635], [0.2221867578842556, 0.0], [-0.24942278230807577, 1.727386736149646], [0.0, -0.19245008972987526], [0.19154657902187375, -0.6494524658073457], [-0.7919667747657765, 0.0], [-0.6317239258179681, -0.09121659668367851], [0.0, 0.8327408092858362], [-0.6571338284996788, 0.7537739259495215], [1.0307619863604247, 0.0], [-0.2084006013037104, 1.4432860990741356], [0.0, 0.7485629368107898], [0.31971762778444235, 0.09429607412294475], [-0.3190133580463232, 0.0], [1.2844428149365255, 0.18546472189035668], [0.0, 1.0076501807935843], [0.4610683225193122, -1.0047899083159042], [1.2866508132574581, 0.0], [0.055868191222773964, -0.3869172318497033], [0.0, 1.1993517316235789], [-0.5050494328445505, 1.7124064610834844], [-0.3685085191061479, 0.0], [-0.07186147874071315, -0.010376304039611739], [0.0, -0.7415206702651187], [-0.3133084237091291, 0.484944496789307], [0.5415214027217755, 0.0], [-0.031752935178199534, 0.21990613108025403], [0.0, 0.8419235068984164], [-1.6740107832221898, -0.49372518491146394], [-0.42016080581822673, 0.0], [0.19047469372855685, 0.027503237737573717], [0.0, -1.9737302989972356], [0.6154120716778605, 0.2823943684130198], [0.7492641963748908, 0.0], [0.1131807759467173, -0.7838376645001216], [0.0, -0.2709138859766622], [0.18056061538523474, -0.6122037652065886], [-0.03578499190072854, 0.0], [-0.8241931756260815, -0.11900783462203031], [0.0, -0.22570349214012433], [-0.6521251819177298, -0.7581113025860832], [1.9294752027524897, 0.0], [-0.14730724210893228, 1.0201817725032871], [0.0, -0.5880145623684722], [-1.398688806949068, -0.412522963869621], [-0.041919525332571976, 0.0], [-0.740879343448029, -0.1069778893922102], [0.0, 0.9731740399311116], [-0.13901934679154676, 0.30295995169124706], [0.8323207947800924, 0.0], [0.04559052292531992, -0.31573885860214845], [0.0, 0.12827958447484517], [-0.36712205381771496, 1.2447537529602375], [1.2088670897134106, 0.0], [-0.9973071971105872, -0.14400431050759296], [0.0, 0.2587279123184277], [0.9285845416405744, 0.5999312518200898], [0.1111111111111111, 0.0], [-0.18387657419090866, 1.2734440391002242], [0.0, -0.39503026433764], [0.3749615559597373, 0.11058946896063074], [1.6121373867025386, 0.0], [-1.1870410352859002, -0.1714005737909166], [0.0, -0.4572422306002608], [-1.6226524083789555, -0.7445871199255603], [1.44874522580035, 0.0], [0.052663926649883314, -0.36472597862453104], [0.0, 1.1817618010984703], [0.0205395937903023, -0.06964097141233604], [-0.48078313040636433, 0.0], [0.7339093619565975, 0.10597147192943422], [0.0, -1.4347108895242393], [-0.43519157905507727, -0.37939639277789894], [-0.8087853180274973, 0.0], [-0.07738937352508475, 0.5359629786385943], [0.0, 0.5951107102956246], [-0.21311106946761132, -0.06285401697177162], [-0.30697292113992247, 0.0], [-0.8332816178180971, -0.12032014326197707], [0.0, -0.6628779751705397], [0.7278919439576759, -1.5862692011388055], [-0.4321830130730863, 0.0], [0.060045607391760854, -0.4158480825719606], [0.0, -0.21715744488809846], [-0.05444186377840705, 0.18458905846601636], [-0.9307047586136608, 0.0], [1.9534710258226031, 0.2820678011601186], [0.0, -0.18418244814313117], [-0.36744490713059225, 0.5687379339397144], [1.66889442127008, 0.0], [-0.10707810710857651, 0.7415734049622836], [0.0, 0.0802686152218546], [0.7596172155366295, 0.22403807308866944], [-0.5817671031301509, 0.0], [0.26813310157790676, 0.03871657853152672], [0.0, 0.9873992570673966], [0.5801157240452066, 0.2661979201213341], [-2.187410817577065, 0.0], [0.005114069528698707, -0.03541767832863756], [0.0, 0.7428481933872443], [0.23557256723285458, -0.7987257483124928], [-0.859892417979674, 0.0], [0.22338676796253104, 0.03225551524160604], [0.0, -0.14202682773899286], [0.8435255723343151, -0.5370890138683403], [-0.6924460451059171, 0.0], [-0.27574326041905234, 1.909670184186325], [0.0, 1.1732818000147227], [-0.9886583312686041, -0.2915904260068691], [0.8787293676752413, 0.0], [0.5819789111674254, 0.08403375817945866], [0.0, -0.21275849270460484], [0.6081766765697523, -1.32537794778733], [0.812550415119387, 0.0], [0.005990761930463239, -0.041489244095315306], [0.0, -0.30252209699832183], [0.2117596385255983, -0.7179862992135033], [0.42811715858723803, 0.0], [-0.9631849351727553, -0.13907729020978185], [0.0, -3.115942505733708], [-0.279982835763334, -0.180888702767843], [-0.8755395100506255, 0.0], [-0.11894780992253073, 0.8237774723418928], [0.0, 0.31264752763336084], [0.3059825821983582, 0.09024512176963681], [0.6625593041103889, 0.0], [-0.1269628639756338, -0.01833256567269424], [0.0, 0.8034157651950514], [-1.179511243961139, -0.5412427674132737], [-0.48608476334487444, 0.0], [-0.1727604232774516, 1.1964587233754314], [0.0, 0.9206162472875359], [0.28505236841433146, -0.9664905763196676], [1.1979213136156845, 0.0], [-0.25607221034322647, -0.03697506866236189], [0.0, -0.2425799543420833], [-0.7264782419849101, 0.8333163395774561], [-0.04916278952999184, 0.0], [-0.01587900171137446, 0.10997061569799382], [0.0, -1.5302405260002687], [-1.234094837404794, -0.36397836137181716], [1.1395337194337747, 0.0], [0.39097549249696373, 0.05645417619115882], [0.0, 1.8026738421840545], [-0.16304046462089133, 0.355308325245758], [2.0460766605600287, 0.0], [-0.23039219090178323, 1.5955896690488962], [0.0, 0.43258788547119187], [0.3392824793539774, -1.1503616715415614], [-0.7153876045996781, 0.0], [0.4525488866001128, 0.06534495145992796], [0.0, 0.15044498148530636], [0.9688392394976264, -1.499587058355308], [0.1564122049958335, 0.0], [-0.20704165127846402, 1.433874640237142], [0.0, 0.358103963188393], [0.35345600864092636, 0.10424671989770977], [-1.509981208938039, 0.0], [-1.1696316558765198, -0.16888677895871615], [0.0, -0.0206604747068342], [0.06599081033166451, 0.030281227915900488], [-0.3526774204461897, 0.0], [0.06870920535470366, -0.47584815181197065], [0.0, -2.603468239002439], [-0.2097674642610459, 0.7112316889508803], [0.13030997194413937, 0.0], [1.419984358826373, 0.20503599003074674], [0.0, 0.29537427629040164], [0.4376957646237729, -0.376504649325535], [-1.6049992256264283, 0.0], [0.1155843310418385, -0.8004835745188346], [0.0, 1.1139830277038578], [-0.5194018148181292, -0.15319002699064066], [-0.5004032010303534, 0.0], [-0.5890022209771224, -0.08504787588517343], [0.0, -0.2089678214425446], [0.09266477384040228, -0.20194106830514666], [0.33949036587085735, 0.0], [0.04386981186113801, -0.3038220102633208], [0.0, -0.5362490001707612], [0.23817024423702796, -0.8075333592045608], [1.4224253574006802, 0.0], [0.6560738915592934, 0.09473256451948893], [0.0, -0.024202249235061767], [1.4659632295937968, 0.9471158693839703], [-2.316939154092389, 0.0], [0.061763713237930576, -0.42774688837675273], [0.0, 0.3393047430708747], [0.40299844837260956, 0.11885854346697511], [-0.5618622939225829, 0.0], [0.21492844125972616, 0.031034190951142383], [0.0, 1.3259139915239977], [-0.17491400966261753, -0.08026285729266545], [-0.5638575261102194, 0.0], [0.13300796209329607, -0.921151578040173], [0.0, 0.48054063491840954], [-0.5583450557188356, 1.893109107245023], [2.5450931218216732, 0.0], [0.18229191500757558, 0.026321700683429258], [0.0, -1.262503770581265], [-0.5103882221129354, -0.4449521996873612], [-0.07406225262808519, 0.0], [-0.23850339634305803, 1.6517641233781601], [0.0, 0.5289701886221505], [-0.71865891434639, -0.211958016597106], [-0.8901720712665682, 0.0], [-0.0794447013345544, -0.011471269306297388], [0.0, 0.6979397396605171], [-0.33029611112563884, 0.7198026474723372], [1.3974916448129893, 0.0], [0.08314092743602526, -0.5757955787165487], [0.0, -0.8197700522579914], [-0.07663834761897102, 0.25984783487497004], [-0.14937662982391411, 0.0], [-0.9772641381549896, -0.14111023043504756], [0.0, 0.022749720236656938], [-0.34637046973359803, 0.5361185350815109], [0.5812360952545398, 0.0], [0.312605101042067, -2.164958229540617], [0.0, 0.06415002990995841], [0.034323278162359236, 0.010123152746280227], [0.5986657505438563, 0.0], [-0.7352232587724388, -0.1061611896067873], [0.0, -2.264988608817955], [0.7568613460577008, 0.34730125006074286], [0.2280708294533855, 0.0], [0.12288809859027448, -0.8510660877533526], [0.0, 0.13966791899437883], [-0.06384885967395791, 0.21648415526911524], [0.1296271595972641, 0.0], [0.14056899922880958, 0.02029719816655698], [0.0, 0.9307679541833704], [0.4110269897974051, 0.9116231752528474], [0.19073524124172675, 0.0], [0.09895816741744201, -0.6853384612614466], [0.0, -0.21600728685120893], [-1.8506617040787958, -0.5458258102113979], [0.2639889249219255, 0.0], [-1.1612386974138256, -0.1676748933932246], [0.0, 0.6150844783198269], [0.4298875741241504, -0.9368388047787845], [-0.46449850901556156, 0.0], [-0.1255801061983514, 0.8697096863563958], [0.0, 0.8364334461030172], [-0.1663423942754051, 0.5639958629494648], [-0.06944332446973199, 0.0], [0.2105746419393227, 0.03040553222789284], [0.0, -1.0600730927996258], [1.2248585141638235, 0.7913451804900147], [-0.6822904939822187, 0.0], [-0.11612240489032896, 0.8042100249270551], [0.0, -0.3966771579083439], [0.04020723359153924, 0.0118585400038766], [-0.8259897787816846, 0.0], [0.299416871422383, 0.04323374006368449], [0.0, -0.2775802697619454], [0.6803537735221648, 0.3121941915233936], [-0.7682217197129623, 0.0], [-0.061182657844879716, 0.4237227676864281], [0.0, 1.7386744568565697], [0.27529947421160905, -0.9334226864045315], [0.828330718276107, 0.0], [3.0839590425157692, 0.4453025074298097], [0.0, 0.8712047451514178], [0.21904460949989293, -0.2512579753165072], [1.1265055744043835, 0.0], [0.12512424040622855, -0.8665525708936842], [0.0, -0.4669524210797927], [-0.7983228901882583, -0.2354537500759556], [-1.783451323365753, 0.0], [-0.30943836999266605, -0.04468077563712418], [0.0, -0.29950222477965477], [-0.13304708596013304, 0.28994481462772975], [-0.34358732878680825, 0.0], [-0.09468702291470342, 0.6557584914850841], [0.0, 0.12672065184044215], [0.03628878361830165, -0.12303973332441442], [-0.8120936223952409, 0.0], [-0.7951691372397718, -0.11481696279429698], [0.0, -0.17723089865406], [0.7042523529237131, -1.0900546460197977], [-0.03956122311468892, 0.0], [0.0694668671012368, -0.4810953663580452], [0.0, -1.4400899689941702], [-1.159488354689563, -0.3419742620892128], [0.38271277740458515, 0.0], [-0.9111666198220817, -0.13156620269578123], [0.0, 0.8579745227520098], [0.915832950284702, 0.4202486097849242], [0.2150565823126228, 0.0], [-0.17119615130095855, 1.1856252997445973], [0.0, -0.24952097893692993], [0.07319107919295961, -0.2481596231042067], [-0.2760916973705575, 0.0], [0.24009000241491119, 0.034667347591287714], [0.0, 1.4139237295841884], [-0.7209410551809898, -0.8381114203008909], [0.12537590926267497, 0.0], [0.007025904171744145, -0.048658160106396786], [0.0, -1.8924694194161156], [-0.10657254259481412, -0.03143202470764825], [0.3877828394646108, 0.0], [1.5145334352924433, 0.21868822738055538], [0.0, -0.5373426429216627], [0.5366080668235926, -1.1694110046839499], [0.5020914143187688, 0.0], [-0.1628519209295203, 1.1278370226128143], [0.0, -0.10976905932345046], [-0.11174940926036567, 0.37889441705127436], [0.10633778601544107, 0.0], [-1.7841703709488377, -0.25762194922581516], [0.0, -0.6500651267737659], [-0.3283609992584457, -0.21214441604420448], [1.6127715359368524, 0.0], [-0.2924068931517243, 2.0250747911437332], [0.0, 0.9635366433693454], [-1.5462862228174374, -0.456054679538619], [1.4867189235187415, 0.0], [-0.42814760497884186, -0.06182157396345223], [0.0, 1.043780291409143], [1.0900666280204792, 0.5001992829108614], [-0.04634310660581625, 0.0], [0.10223676897960927, -0.708044538064856], [0.0, 1.0929028776662704], [-0.12934844180646834, 0.438565203871147], [-0.6347932844119519, 0.0], [-0.1489007451835118, -0.021500245066255908], [0.0, -0.3358833935978614], [1.3457368094224238, 1.173202138313181], [0.10842152246789044, 0.0], [-0.022353027037278237, 0.15480671837465373], [0.0, 1.0758687728626835], [-1.3895681605707724, -0.40983296159199634], [-0.5700752268654979, 0.0], [-0.35442821984147366, -0.051177000998866226], [0.0, -1.2491857557340682], [-0.15368944083977074, 0.33492996943863473], [-0.6841905079079329, 0.0], [0.2157929478078336, -1.494482069153855], [0.0, -1.2629022243564179], [0.3343064951761381, -1.1334902389604187], [0.9201519105169915, 0.0], [0.02044840611711047, 0.0029526094190486614], [0.0, 1.6995439383479334], [-0.03940122121374909, 0.06098592935415217], [-0.4288836044191527, 0.0], [0.050401488265453584, -0.34905737762322947], [0.0, -0.2844952834007473], [0.46114452579690296, 0.13600788510557982], [-0.7265559498923478, 0.0], [2.57674504673943, 0.37206428960365906], [0.0, -0.4964591189946829], [-0.6739531993247446, -0.30925715763806017], [-1.3822206489924436, 0.0], [-0.018622730407591322, 0.12897241061656775], [0.0, -0.8028277679128756], [-0.405862813150721, 1.3761070864655909], [0.08199922722725614, 0.0], [-0.2923424192250433, -0.04221223774840153], [0.0, -0.9602877713527781], [0.3100884867356769, 0.48700971625554995], [1.3364334630793435, 0.0], [0.22937206905429064, -1.5885247773324747], [0.0, -0.399783910541193], [0.7757487697999117, 0.22879584089481098], [-0.1638357555306243, 0.0], [-1.1025485949033769, -0.15920044563016494], [0.0, 0.10587910132654801], [0.2258458550400701, -0.49217789402509643], [-0.6773945630737889, 0.0], [0.07151312956984415, -0.49526683303099445], [0.0, 0.28603031945966717], [0.16834981094818352, -0.5708021536944948], [-1.7219782258726735, 0.0], [0.2068228798659456, 0.029863803548775228], [0.0, 0.5073346369721302], [0.18662543562448555, 0.12057322321762741], [-0.614368049575185, 0.0], [-0.04851691290592637, 0.33600568102519834], [0.0, 1.4533836248294352], [0.2944339624227501, 0.08683902397664099], [0.12283617303538263, 0.0], [0.5307446944459098, 0.07663588912290924], [0.0, 0.5695447983022194], [0.7652073149330088, 0.35113096793239845], [0.3758699177300838, 0.0], [-0.20328025216021045, 1.4078249310401254], [0.0, 0.4691262008993202], [-0.1875203720434462, 0.6358013211962383], [0.18343863040255234, 0.0], [0.023953826246904383, 0.0034587680132039133], [0.0, -0.4367160531395216], [-1.1468965313252506, 1.315562619944082], [0.1746612141377912, 0.0], [0.3311161271368519, -2.2931570277929616], [0.0, -0.3760924519568579], [0.41452958312537935, 0.12225948430625203], [0.15578950580564796, 0.0], [-0.33582196354278326, -0.04849038536309902], [0.0, 0.24717355675503958], [-0.1752314423167794, 0.3818756922997363], [0.3240047928735999, 0.0], [0.08029631094078127, -0.5560950816013825], [0.0, -0.02423039291460149], [-0.061431283558552256, 0.20828718940606084], [1.7989902444647532, 0.0], [-1.3123042020943074, -0.18948771486490412], [0.0, 0.7732289305171178], [0.10443614123637636, -0.16164816559643566], [0.7409371454643203, 0.0], [0.0805814515986799, -0.5580698338105962], [0.0, -0.5054929718138816], [0.892688152774955, 0.26328541471443345], [0.09422639838217926, 0.0], [-0.4756081454089413, -0.06867455007828956], [0.0, -1.7875690429235724], [-1.7938837081072596, -0.8231600907278399], [-0.18050713424059184, 0.0], [-0.36372184233312344, 2.5189691185391276], [0.0, 0.03346809502334984], [-0.052103045346750365, 0.1766591261995589], [1.6016248731653664, 0.0], [1.2495448527467439, 0.1804256958030895], [0.0, 0.3825287925822241], [0.5133251052737323, -0.44156079261403647], [-1.294987662495041, 0.0], [0.010584311726066511, -0.07330204369341801], [0.0, -2.2970990381402663], [-1.6007248961734795, -0.4721105761543573], [-0.4638523083065521, 0.0], [-0.5235405959579563, -0.0755956667735748], [0.0, 1.306467873777034], [0.3124866574629916, -0.680991134213154], [-1.0719142952897291, 0.0], [0.12721539458753625, -0.8810349367890865], [0.0, -0.28064116896613883], [0.0227070458721184, -0.07698987373282061], [0.24678607116194362, 0.0], [-0.6907757660150813, -0.09974327688455037], [0.0, 1.845818541313359], [-0.6652113102877912, -0.42977352756784143], [-0.5315180381918019, 0.0], [-0.1997169499765527, 1.3831471495159788], [0.0, -1.7125530006416125], [0.5580035944073967, 0.16457506163715463], [0.3981508204674333, 0.0], [0.8113555563982909, 0.11715417056464357], [0.0, 0.6916201928840056], [-0.2462281734239328, -0.11298681439570547], [2.141241182702386, 0.0], [0.021347565845519532, -0.14784335957364428], [0.0, -0.28834589931854937], [0.2793236206001034, -0.9470668444371264], [0.1400536019394089, 0.0], [-0.022516206672440458, -0.0032511856191404912], [0.0, 0.8473091896667433], [-0.48111541297515786, -0.4194324085703939], [-0.5567744315112932, 0.0], [-0.08306504056133503, 0.5752700213493558], [0.0, -0.028384149769253703], [2.0980613927573004, 0.6187927577747342], [-0.8941328394633237, 0.0], [-0.06349156457618561, -0.009167745912524573], [0.0, -0.6615477218703502], [-0.014924418596940218, 0.03252425825254916], [0.8834847796111297, 0.0], [-0.08555593029684452, 0.5925207706614851], [0.0, 1.811551886962317], [0.21014300491721752, -0.7125049865811852], [-1.154888946867078, 0.0], [2.2417397267458767, 0.3236918219609757], [0.0, 0.6579100996657452], [-0.45190021420067594, 0.6994593997191063], [-0.6589463378176941, 0.0], [-0.03259383382084411, 0.2257298058396685], [0.0, -0.81549001346469], [0.8247682920788686, 0.24325343755070855], [-1.0407742280460608, 0.0], [-0.13823430340562431, -0.019960084122622658], [0.0, -1.1475720653692612], [-0.2051373572259535, -0.09413145613767326], [-0.3393664097248834, 0.0], [-0.018525149001770103, 0.12829660696883918], [0.0, 1.181302910756943], [-0.04017771682776832, 0.1362254413393813], [-0.5444934781859753, 0.0], [-0.9212141249415662, -0.1330169934363322], [0.0, 0.5635731298881318], [-0.9610061412737687, 0.2765270265889057], [-0.2497547321249636, 0.0], [-0.027258166998871198, 0.1887774472319227], [0.0, -0.7328285429345325], [0.6641616207299483, 0.1958848307863425], [-1.3238606783410873, 0.0], [0.2137900889725255, 0.030869820698217306], [0.0, -0.4130292260905457], [0.8047031470114151, -1.7536611426460604], [0.9060314716930847, 0.0], [-0.03772692531557243, 0.2612792215000405], [0.0, -1.157742505178612], [0.331907602743871, -1.125356621470103], [-0.0868594505587699, 0.0], [-0.6087709690839963, -0.08790234735492358], [0.0, 1.2143478576279747], [0.8657869918147161, 0.5593595957254269], [0.9947282601876756, 0.0], [0.06638195357630088, -0.45973068324517297], [0.0, 0.0903046286588874], [-0.8428358066929535, -0.24858218876493876], [2.2455933491065325, 0.0], [-0.8278479095250918, -0.11953555309908583], [0.0, -0.24007310528576428], [-0.5344345902267064, -0.24523620109314667], [-0.20675141954469053, 0.0], [0.009924216012885656, -0.06873052633246789], [0.0, -0.9667955598421164], [-0.06018687179507825, 0.20406792173552954], [0.3991911903051178, 0.0], [1.0491920163004627, 0.15149612209272548], [0.0, -0.8717880574516534], [-0.9582682245365332, 1.0991940612321303], [-1.028917896965295, 0.0], [0.09750682729438359, -0.6752871513730165], [0.0, -0.4437943495520473], [-0.7793600735317029, -0.2298609425181817], [0.01192833063357618, 0.0], [0.3926054815965981, 0.056689535423607745], [0.0, 1.0277856973781008], [-0.017482875088637558, 0.03809981210902804], [-0.17518737997317904, 0.0], [0.11804303799766963, -0.817511440795844], [0.0, -0.20361840363171044], [-0.08557993824714731, 0.2901649416140353], [-1.1869934797416293, 0.0], [0.2747310585420272, 0.039669278207343436], [0.0, 2.0932301476223394], [-0.40621973573937176, 0.628754321386843], [1.5031130886146993, 0.0], [0.10978734601833443, -0.7603363395846549], [0.0, -0.775235310644312], [-0.41062980707198293, -0.12110930195834006], [1.845005435180247, 0.0], [-1.7208279046700277, -0.24847573208353677], [0.0, 0.07523449738004144], [0.884498280374116, 0.40587005803714127], [0.18488105790325407, 0.0], [-0.11837758403781305, 0.8198283518134646], [0.0, 0.4783649361738234], [-0.8814634364504996, 2.9886652387376764], [-0.1705344179279543, 0.0], [-0.8622623000098368, -0.12450475475295221], [0.0, 0.016132257873135235], [0.2173750606392433, 0.2527037675286944], [0.030272303641969856, 0.0], [-0.1609900554945607, 1.1149426044402502], [0.0, -0.9266467349645592], [0.8397762455548167, 0.2476798156119015], [0.2674791304861253, 0.0], [0.462159407230323, 0.06673264464110827], [0.0, 0.7501265867666007], [0.3471260796340484, -0.7564796033345914], [-0.6431584009174965, 0.0], [0.2548748395429005, -1.7651451608814037], [0.0, -1.0767542292306005], [0.08844430332021243, -0.29987677760282705], [1.0807007575035867, 0.0], [0.29642799655743823, 0.04280216705852937], [0.0, -0.2889079228182249], [-0.2679547938965801, -0.1731177375078385], [0.27702540488116223, 0.0], [0.049102414036310764, -0.340060590834429], [0.0, 1.0915951139652509], [-0.6354956669300533, -0.18743022375371973], [0.12064762796182278, 0.0], [-0.12541993294090084, -0.018109777026967814], [0.0, 0.3770686104583785], [0.11659073014641702, 0.05350003212115205], [-0.6872256425766082, 0.0], [0.11605712417829284, -0.8037579209329687], [0.0, 0.19600485412282403], [0.2272768576391248, -0.7705985477183531], [-2.4182385631862773, 0.0], [0.1754117194112615, 0.025328247687326267], [0.0, 0.2872604021272425], [0.9782204062494667, 0.8528044000267947], [0.30960350460125663, 0.0], [0.0056537345658799094, -0.039155148573192404], [0.0, -1.294176996753798], [0.46622960231635596, 0.137507654623207], [-1.0816525815832763, 0.0], [1.4253082249571436, 0.2058047197397246], [0.0, 0.8212376629974323], [0.5041677395092695, -1.09871494530214], [0.6006876967663017, 0.0], [-0.054693871626350525, 0.3787844379000434], [0.0, -1.5443431268563588], [0.2604314936790381, -0.8830117280477596], [0.013973175110857326, 0.0], [-0.8491678786820784, -0.12261401023585365], [0.0, 0.9809605700534157], [-0.5468176021426017, 0.8463742652280717], [-1.1728198025051388, 0.0], [-0.03073395454726032, 0.21284914290142878], [0.0, -1.3376854443112247], [-1.1489896819848888, -0.3388778309464797], [-0.46520259794940216, 0.0], [0.246959781149343, 0.03565929646407007], [0.0, 0.9265780183993487], [0.2351525874515042, 0.1079045561017452], [-0.19589768474928632, 0.0], [0.03945654481539026, -0.2732577655404995], [0.0, -0.15701428789032068], [-0.0686230120661449, 0.2326712626509276], [0.9451180132332695, 0.0], [-1.3994105678313924, -0.2020652758963826], [0.0, -0.32439134664370384], [0.9325390784672529, -0.5937656313864101], [-0.3746962324019848, 0.0], [-0.017917598499724303, 0.12408899341780956], [0.0, -0.43936066650338357], [0.04715463133138443, 0.013907574136832527], [-0.7655167999286713, 0.0], [1.8730442451853362, 0.270454726346691], [0.0, 0.7826775531703907], [0.04633978226384892, -0.10098665056374903], [-0.48367126533755783, 0.0], [-0.05541843934350182, 0.3838024585173559], [0.0, -0.32554329448433167], [-0.43288702219696584, 1.4677346127372695], [1.6471063345362182, 0.0], [0.5318271115459424, 0.07679218271892801], [0.0, 1.297093015852863], [1.080720429999069, 0.6982217895759953], [-0.27744026492669743, 0.0], [-0.07175439384510739, 0.4969377177238037], [0.0, -0.6744509090981395], [-1.0929870526732461, -0.3223606682199664], [0.03352767709690907, 0.0], [0.1086423393455051, 0.01568720772767731], [0.0, 1.469410198996408], [-0.35903504940093595, -0.16475054793333227], [0.9714577739312549, 0.0], [-0.01519684097510664, 0.10524628620071615], [0.0, -0.057502131806308046], [0.5099551987262435, -1.7290398134764562], [0.7289068917980108, 0.0], [0.643392560115949, 0.09290146734490937], [0.0, 0.0638880958438972], [0.2568932722660141, -0.29467277742811776], [-0.3376004200501871, 0.0], [-0.2304828178127757, 1.5962173090845735], [0.0, -0.04275986149161506], [-1.9625003285380982, -0.5788109893361871], [0.8796040312989291, 0.0], [-0.953646461270147, -0.13770000008130456], [0.0, -0.5476370120114016], [0.6723548593128543, -1.4652391943851633], [-0.30540108079428574, 0.0], [-0.21246851097798203, 1.4714585585029314], [0.0, -0.42298858189784466], [0.12237401793923831, -0.41491791765341246], [0.8982952505241931, 0.0], [-1.0330664516972539, -0.14916770130226245], [0.0, -0.5139410849708399], [-0.6508475366872661, 1.0073936966929042], [-0.7333072045490989, 0.0], [0.006622940421937488, -0.0458674197011944], [0.0, 0.6164309513405215], [0.6861660836670112, 0.2023747277699014], [-0.4029556965711369, 0.0], [-1.081684821195621, -0.15618785998345902], [0.0, -0.33444590988521405], [-0.4155782522815592, -0.19069654867067415], [1.8762640682092253, 0.0], [0.09071895284591759, -0.6282774749496065], [0.0, 0.8068421773230323], [0.042559113376690494, -0.1442997377776695], [0.4484727841625717, 0.0], [0.33243573237019575, 0.048001436835864324], [0.0, 0.4140039419829695], [-1.3534804672954353, 1.164260040638171], [0.47329446034474487, 0.0], [-0.01549462986735711, 0.10730863422637003], [0.0, -0.20785458088120648], [-0.15002321741340538, -0.04424717062806103], [-1.9265733146258561, 0.0], [-1.0648255622575895, -0.15375349876950803], [0.0, -0.0862426374394759], [0.6042108448744097, -1.3167353508641966], [-0.06046260184362853, 0.0], [0.08147002952708482, -0.5642237132331508], [0.0, -3.4447540752234853], [0.10130339356959894, -0.34347644883240086], [-0.01313455710262256, 0.0], [1.2363635401131527, 0.1785224047781328], [0.0, 0.009491958886251225], [-0.3095281805468581, -0.19997708394002994], [0.4488416215762963, 0.0], [0.09777836021378605, -0.6771676626842265], [0.0, 0.33557681605793555], [1.4483028303622627, 0.42715590000682513], [-0.17596453003725837, 0.0], [1.2499392166095709, 0.18048263923668753], [0.0, -1.507991318625619], [1.074079494514061, 0.49286326095573335], [-0.037037037037037035, 0.0], [-0.13149984385641408, 0.91070704921715], [0.0, 1.7489598079005384], [-0.005844604963112589, 0.01981655388650851], [-0.9047988338382065, 0.0], [-1.6820990397532394, -0.2428835499502463], [0.0, 0.3456398322311048], [-0.05472907326816393, -0.04771235009441869], [-1.0498012916258168, 0.0], [0.06129219139696955, -0.4244813463667414], [0.0, -0.46097076753634136], [0.3382715647145765, 0.09976828853964854], [1.3076917830124823, 0.0], [0.2815750933087988, 0.04065750982798586], [0.0, 1.6115817058626707], [-0.2005144702124634, 0.43697410188563607], [0.7324762439331579, 0.0], [0.10383284854574899, -0.7190982463383202], [0.0, 0.13167675477921334], [-0.7364905021251192, 2.4971240681579983], [0.14703958096641123, 0.0], [0.4913632348625598, 0.07094947680129625], [0.0, 1.6952282656863404], [0.4023981363593963, -0.6228391801138683], [-0.08063731062855946, 0.0], [0.19753455645763315, -1.3680329022016167], [0.0, 0.8881966615756831], [-0.12498718531991242, -0.03686315632021024], [-1.143563972555592, 0.0], [0.7945871754314252, 0.11473293150564741], [0.0, 0.074840275487767], [-1.303979825343509, -0.5983577120891362], [-1.4963755131249925, 0.0], [-0.01171859282525685, 0.0811575495444695], [0.0, -0.6301899425116041], [0.08355790395327262, -0.283309088772341], [-0.5373791289008462, 0.0], [0.9504309371662739, 0.13723570048250458], [0.0, -0.47282635992712435], [-0.5263258856317329, 0.2373065432037334], [-0.9142695667179482, 0.0], [-0.19099106322637494, 1.3227156969681375], [0.0, 0.11012104287485915], [1.5394396350394457, 0.45403537784081577], [-0.8757176159820746, 0.0], [0.3956803450953001, 0.0571335245969722], [0.0, 0.18502398057313113], [-0.3373104198203282, 0.7350886826346015], [0.12471186521046618, 0.0], [0.023413934182095995, -0.16215407018143874], [0.0, -1.6697686639404994], [0.31513267845619614, -1.0684800330288244], [1.7374388824339988, 0.0], [-0.10479230966187683, -0.015131289880467412], [0.0, 0.1524140768667536], [0.4548500938817434, 0.293865312178094], [1.3243326278586218, 0.0], [0.09680714483692003, -0.6704414745452826], [0.0, 0.6169571168229782], [0.479963173107498, 0.14155817200715107], [-0.3551191891323126, 0.0], [-0.2830943730534612, -0.04087688338984535], [0.0, 1.1300258966814867], [0.5408841361263185, 0.24819570664185342], [-0.062455593220868265, 0.0], [0.24608965676023567, -1.704303051459813], [0.0, -0.26817833921831424], [-0.059114535540169405, 0.20043208846467986], [-0.48447340799990224, 0.0], [-0.5021271215346901, -0.07250370811847996], [0.0, -1.0813256985634587], [-0.14600643485041206, 0.16747858478441113], [-0.4829150752667833, 0.0], [0.08779996179556336, -0.6080618940926281], [0.0, -1.4859690581261984], [-0.3256231632957088, -0.09603782611255199], [-0.054350720294473576, 0.0], [-1.4384654286108753, -0.20770452959355196], [0.0, -0.04009312207602229], [-0.12802552493869504, 0.27900150407721575], [1.1735695099201253, 0.0], [-0.017554642216627774, 0.12157532620817701], [0.0, -0.2741581492115922], [-0.1516985264053713, 0.5143447747091243], [0.6120334854885431, 0.0], [-0.563698729231963, -0.08139422544250827], [0.0, -1.6917200103377155], [-0.45688335297782295, 0.7071723928716885], [1.5564750885577692, 0.0], [-0.05371595160201161, 0.3720118164761844], [0.0, -0.3939206003661567], [-1.364323382905749, -0.4023873808074321], [-0.6297312317858973, 0.0], [-0.46431087437663093, -0.06704330172237814], [0.0, 1.7806523716061595], [-0.6024764380045752, -0.27645858933213474], [0.22902166389975803, 0.0], [-0.02621540093484884, 0.1815557321534887], [0.0, 1.0127110133415096], [-0.006846531263434101, 0.02321365713744535], [-1.8160664665779764, 0.0], [0.4322333992405588, 0.06241153459668447], [0.0, -0.476885421127485], [-1.1381549338875012, -1.3231326490671926], [0.7896759086645961, 0.0], [-0.02496101146384255, 0.17286841131562838], [0.0, 1.992902004043907], [2.222298870201934, 0.6554347986379465], [0.1602610434687881, 0.0], [0.37223206650957447, 0.05374775419432168], [0.0, 0.3690517176222396], [-0.1802454005154689, 0.3928024342871995], [-0.37278862766709375, 0.0], [-0.02226403646371859, 0.1541904108545996], [0.0, -0.443533016673596], [0.09598531560863376, -0.3254451226518893], [2.261990040481886, 0.0], [-0.24463645398553252, -0.03532382397647807], [0.0, -1.481118780816684], [-0.35291344166878397, -0.22800702935505185], [-1.0038241656992668, 0.0], [-0.046303853944800785, 0.32067905905269667], [0.0, -0.023162522402253333], [0.5389118392633598, 0.15894422554383492], [1.6241838920628748, 0.0], [0.0239816810468073, 0.003462790055024094], [0.0, 0.47823696317474645], [-0.19737002703807888, -0.09056725841779428], [0.210524195417747, 0.0], [-0.25709552253541595, 1.78052458336626], [0.0, 0.7843108333433864], [0.3750854520761892, -1.2717542280487613], [-0.5029902941324503, 0.0], [-0.7652921540802186, -0.11050293159869001], [0.0, 0.8025495979380166], [0.14506385968502575, 0.12646546425929964], [-0.7908792802737656, 0.0], [-0.10588807980763965, 0.7333318267220279], [0.0, 0.6503882966259849], [0.5408255719690909, 0.1595086532306085], [0.4619152550193707, 0.0], [0.5003043600724308, 0.0722405138806835], [0.0, -1.0262625856423484], [-0.388157902794766, 0.8458988061252254], [0.26959510600916575, 0.0], [-0.013465990270505485, 0.09325921540583432], [0.0, -0.5822421648084836], [0.13593928598805982, -0.460911935550431], [0.1738623976675625, 0.0], [1.7692206142768092, 0.2554633070260507], [0.0, -1.029676101631812], [1.0710765401975906, -1.6578318184357774], [-1.5493716175012222, 0.0], [0.025796457841694917, -0.17865432621286478], [0.0, 1.425385598738992], [-2.441133406197978, -0.71997686899528], [0.1729176900994255, 0.0], [-0.0331245631436107, -0.004782959443369937], [0.0, -1.1265000823878446], [-0.16739971677545593, -0.07681477089397808], [0.0961678529948237, 0.0], [-0.2288898369177548, 1.5851850607729494], [0.0, -0.19837023676520818], [-0.35714744739368454, 1.2109341317974676], [-0.9623185763495058, 0.0], [-0.3786023415822963, -0.054667578168568286], [0.0, 0.39589308348179164], [0.3636685980605402, 0.5711600021560559], [-0.07316220245196411, 0.0], [0.18506800178070812, -1.2816953150929693], [0.0, -0.6595030529459462], [0.07103702315587043, 0.02095133899059054], [-0.6127012975888335, 0.0], [2.2735205598919905, 0.3282807560204333], [0.0, -0.4688624714970706], [0.696025836927069, -1.5168245197373258], [-1.669322817551603, 0.0], [0.06628960437682262, -0.4590911154366647], [0.0, 1.2604883469069545], [0.1496394363454271, -0.507363281624889], [0.10232430704664082, 0.0], [-1.2930576882201839, -0.18670865043205148], [0.0, -0.13039953991938635], [0.6293433433109324, 0.40660028553793315], [-0.7052602235947238, 0.0], [0.15318836036417124, -1.0609116752564343], [0.0, -0.02284068281473649], [0.8538111088359323, 0.2518191948429827], [-0.7944413985833216, 0.0], [0.277760539272699, 0.04010671442065902], [0.0, -0.34095994340166635], [0.07295452736980912, 0.0334766713680127], [0.831436331256064, 0.0], [-0.03526844801691494, 0.24425294572231074], [0.0, 1.6984819261565658], [0.19743893227313064, -0.6694309137022555], [-0.07088054374608176, 0.0], [-1.8268722130950266, -0.26378780198761387], [0.0, 0.22095932505684657], [0.5204281587463776, -0.5969639050367798], [-0.10546712062980401, 0.0], [0.07595978254266617, -0.5260622932308803], [0.0, -0.7027667956224197], [-1.3404081405845623, -0.39533392717644483], [-0.4953518216687136, 0.0], [1.6949745710640445, 0.24474268825206869], [0.0, -2.878200675884039], [-0.24263064798589198, 0.5287564003796018], [0.4078018541360172, 0.0], [-0.05690013803628766, 0.39406401780718536], [0.0, 0.12416297568919368], [-0.2319032928344695, 0.7862848093099599], [1.6103799161867973, 0.0], [-0.684521085965574, -0.09884014403783632], [0.0, 0.09341953098285574], [0.14701578418834127, -0.22755371413023123], [0.14406100435769542, 0.0], [-0.30600695164137, 2.119262500977137], [0.0, 1.8255864992975062], [0.1432750252012098, 0.04225688927433445], [1.4526505729625974, 0.0], [0.2853861847384735, 0.04120780525872348], [0.0, -0.15940161579791207], [0.8974272936633352, 0.4118027992199041], [0.9705340978792126, 0.0], [-0.020015202463920283, 0.13861602752398686], [0.0, 0.32654381141347827], [0.006435627917136175, -0.021820459760471037], [-0.8163292458890309, 0.0], [-0.8386120194679799, -0.12108981665503371], [0.0, 0.55018639869706], [0.48388385412161894, -0.41623551227859734], [0.30654274454997066, 0.0], [0.0795691993573563, -0.5510594433437767], [0.0, 0.07238581496269948], [-0.5574942766724209, -0.16442484576315916], [-1.7743676634063277, 0.0], [0.028092801835700093, 0.004056407664856997], [0.0, -0.03631566993213548], [-0.9122772690729805, 1.9880936268661766], [1.092617728733029, 0.0], [0.12778143199230801, -0.8849550498441946], [0.0, 1.5820431106179889], [0.018147287926135684, -0.06152968615533879], [0.204840881226224, 0.0], [0.6547572925891882, 0.0945424566696165], [0.0, 0.22388652675201046], [-0.03005755053040175, -0.019419302290441663], [0.024650836946162564, 0.0], [-0.12625970694676575, 0.8744162865627808], [0.0, -2.5864914010903237], [-0.5742119807990234, -0.16935548996445546], [0.31023491953788696, 0.0], [-1.7929572874029767, -0.2588907196198644], [0.0, 0.1913575079861582], [0.6751597583475891, 0.3098108118299259], [-0.5532085277030147, 0.0], [0.16504635207374801, -1.1430346369480222], [0.0, 0.2898826132147411], [-0.6407386012341701, 2.1724703549101823], [-0.08708102858777031, 0.0], [-0.6511570086075343, -0.09402260038670619], [0.0, -0.4021534512689534], [-0.6276983091137665, -0.5472221561539224], [0.06337519594908612, 0.0], [0.09417069023319988, -0.6521826103357504], [0.0, -0.23101926726189018], [-0.2187547936789996, -0.06451855151825378], [0.47708987096954947, 0.0], [0.8071194498864951, 0.11654250587473135], [0.0, 0.06139414938104372], [-0.3586250467756139, 0.781538896232375]], "angles": [null, null, -0.15678678231268756, 0.05496909945030183, -0.324416113123781, -0.08119961354363449, -0.11996314063655955, -0.3876184736919664, 0.005779131293749938, -0.3147981098232222, 0.06834901966091714, -0.2754951757698952, -0.13877712216936613, 0.10235190769461065, -0.439548564561795, -0.28368628916858335, -0.4783748791410718, -0.2528478311399842, -0.4525055023373702, 0.08087917238254841, -0.18168774024461162, 0.020646775923950842, -0.46835642164733166, -0.12106477328129502, -0.3162585378609615, -0.2745250735370412, -0.44623294592427176, -0.4826850232487074, -0.32703619393021327, -0.09289355058072599, -0.488688343269025, 0.0997749912619022, -0.18341371410678584, -0.475833296583055, -0.19625982341512072, 0.06579163879353939, -0.14779028782767686, -0.36133974352859666, 0.1787065550312096, -0.308218421959456, 0.02865151470040074, -0.38617930226845365, 0.02359143481382712, -0.3982485142854714, -0.2902484505062165, -0.4833404631324118, 0.027132243958409057, -0.39127070868880415, 0.04260099797460103, -0.32341345397649335, -0.1268709234305111, 0.0018104042568383297, -0.20306955208377359, 0.011123473499391233, -0.23479866946860764, 0.049753268524908176, -0.2555272351567444, -0.4110890995727322, -0.3177586345487006, -0.31274597901099443, 0.16772697856638447, -0.42525250043986307, -0.37206057065083825, 0.07056473989529276, -0.23285318918673126, -0.27204106575829573, -0.49126046435363996, -0.10071027955315182, 0.09201084941801747, -0.30140432690145674, -0.2413678578222112, -0.39263246664728674, 0.16163021153416068, -0.3091712352821083, -0.43425945280452477, -0.4202922226809934, -0.2630522609758504, -0.4150772846751129, -0.29969335674494385, -0.21991029104179782, -0.46989226086762814, -0.23759009368305553, 0.06317779130790552, -0.18959856035020858, -0.32402019522304926, 0.0026634306952971597, -0.36209142475339035, -0.3400245725469895, -0.23031120813096226, 0.1870977030096378, -0.33638598766061256, 0.06962648146228476, -0.44634513216390187, 0.18035553665149634, -0.43315761624596794, -0.402737051172814, -0.2938833465593412, -0.17517406753358697, -0.4017466898289565, -0.2180185790532827, -0.46438753424070944, -0.35112650590504646, -0.43664904458982867, -0.23526659841007158, 0.03843970556172938, -0.24759091462417757, -0.4095188050042311, -0.22788391143474904, 0.03018683409680029, -0.30582538945675025, 0.02293879224592641, -0.34094418269638993, -0.20144928717080973, -0.35958528931188893, 0.07666540487125478, -0.2799946210540779, -0.46474928297592866, 0.06399396574752358, -0.09599422875866676, -0.4452557676679156, -0.24733182724875513, -0.2769946335123514, -0.1775243065514183, -0.46608351140408294, 0.04986588786704969, -0.21400561293197995, -0.45674016800481476, 0.0007553489238243142, -0.3640619724518597, -0.32471592381683534, -0.46298430557278386, 0.14912972644108388, 0.16098086067524017, -0.3468738410780626, -0.3845378852434118, -0.32556215080724454, -0.32213151186980876, 0.04990990349381582, -0.2889405281358037, -0.15019673587291282, -0.4781142779599039, -0.300979725947866, 0.1747618441509552, 0.08450382034172316, -0.4312082176223394, 0.029537472766410583, -0.09916437040872461, -0.23321592406798192, 0.06413522880138779, 0.06571637926795194, -0.23614698454211974, -0.39104598775500976, 0.12626231497299983, -0.4047753914311063, 0.10852260974654535, -0.48961576819604524, -0.47273409225223956, -0.25839670149253613, -0.21731897796470667, -0.10103165389659363, 0.18303960499987343, -0.1693611938656153, -0.4971099319818699, 0.14522522265657214, -0.24803829905325417, 0.01525107642350942, -0.46777797201659616, -0.21166478560016894], "root": [382.23956945307685, 0.8660254037844386]}