# Coefficient data for embedded newform 60.3.c.a.31.5, downloaded from the LMFDB on 28 March 2024. {"label": "60.3.c.a.31.5", "an_normalized": [[1.0, 0.0], [0.839931199673599, -0.5426928964109157], [0.0, 0.5773502691896257], [0.4109688403702623, -0.9116493910735212], [0.4472135954999579, 0.0], [0.31332388983013987, 0.48493450423231765], [0.0, 0.08521993166439802], [-0.1495600974322745, -0.9887526370412615], [-0.3333333333333333, 0.0], [0.3756286517786233, -0.2426996414562118], [0.0, 0.8436023512932215], [0.5263410213428559, 0.2372729706163193], [-1.8085909743727917, 0.0], [0.04624825154689247, 0.07157887943897996], [0.0, 0.25819888974716115], [-0.6622092244894436, -0.7493189861474815], [0.23397109824830323, 0.0], [-0.2799770665578663, 0.18089763213697188], [0.0, -0.37092417991031584], [0.18379085274043327, -0.40770200201733664], [-0.04920175048676172, 0.0], [0.45781700344237714, 0.7085679349691845], [0.0, 1.3947521188585388], [0.5708566011577246, -0.08634856251255034], [0.2, 0.0], [-1.5190919868237822, 0.9815094743050105], [0.0, -0.19245008972987526], [0.07769069880917555, 0.03502273649255066], [1.2301183099702702, 0.0], [0.14012270332696955, 0.21686930321972436], [0.0, -1.9115639922502885], [-0.9628602792884096, -0.2700001529048566], [-0.48705404460814267, 0.0], [0.1965196252406468, -0.12697445298481458], [0.0, 0.03811151204789616], [-0.13698961345675412, 0.30388313035784037], [-0.14561098874581557, 0.0], [-0.20129791754437287, -0.31155079142001746], [0.0, -1.0441904859080589], [-0.06688530891601151, -0.44218362187128746], [0.9775388639925225, 0.0], [-0.04132608531238685, 0.026701440480147894], [0.0, 0.839900998870435], [0.769069569864656, 0.34669428004460195], [-0.14907119849998599, 0.0], [0.7569220671586021, 1.1714958204401464], [0.0, -1.5747458243524048], [0.4326195183611459, -0.38232667401883363], [0.9927375632471154, 0.0], [0.16798623993471978, -0.10853857928218313], [0.0, 0.13508327655625024], [-0.7432745354421091, 1.6488008604880218], [-0.04813640337156612, 0.0], [-0.10444129661004661, -0.1616448347441059], [0.0, 0.3772704406940602], [0.08426143216164965, -0.012745501282899143], [0.21415317512016205, 0.0], [1.0332147478337892, -0.6675764685658665], [0.0, 0.6169933516479741], [0.23538686061385866, 0.10611169830428002], [-0.1431513351707828, 0.0], [-1.0373921996291222, -1.605582237263639], [0.0, -0.028406643888132677], [-0.9552635545120971, 0.2957558814646188], [-0.8088264724380284, 0.0], [-0.40909188799359586, 0.26432077017704425], [0.0, 1.0408641365796976], [0.09615483092726189, -0.2132996092468686], [-0.8052605112757782, 0.0], [0.020682846859872272, 0.03201104803576424], [0.0, -0.8340428144162245], [0.049853365810758166, 0.3295842123470872], [-1.137011979079538, 0.0], [-0.1223032124629318, 0.0790220492317239], [0.0, 0.11547005383792515], [-0.3381528027496846, -0.15243828008303306], [-0.07189173472913384, 0.0], [-0.5666747592021658, -0.877048167516514], [0.0, 0.8338043696086497], [-0.2961489682571629, -0.33510563797139836], [0.1111111111111111, 0.0], [0.8210653907608065, -0.5305033974543382], [0.0, 1.565172333031955], [-0.020220386341731452, 0.044854745871007635], [0.10463505609069759, 0.0], [0.4558083057754176, 0.7054590535882985], [0.0, 0.710209137396423], [0.8341140494553814, -0.12616924985351005], [-1.4659110610526311, 0.0], [-0.12520955059287442, 0.08089988048540393], [0.0, -0.15412799924489634], [1.2715249198558902, 0.57319966089126], [1.1036419854988997, 0.0], [-0.8546033725288016, -1.322678149429306], [0.0, -0.1658823361555656], [0.15588466096085907, -0.5559076414391615], [0.9599106156187925, 0.0], [0.8338312524591949, -0.5387516235744916], [0.0, -0.28120078376440716], [0.08219376807405247, -0.18232987821470423], [-0.03624565431572678, 0.0], [0.07330873461098818, 0.11346065853373181], [0.0, -1.470065620817044], [0.27049304234232696, 1.7882490952401224], [-0.022003691740076513, 0.0], [-0.040431267031851806, 0.026123284168519383], [0.0, -0.7739175552791094], [-0.17544700711428526, -0.07909099020543976], [-0.06759956733176126, 0.0], [0.20474198819048212, 0.31688121385354934], [0.0, -0.08406854354936419], [0.06385691279432439, -0.0564334248585244], [0.5755485460693324, 0.0], [0.17987393329258802, -0.11621940688155477], [0.0, 0.6237521099059118], [0.5055402953667089, -1.1214366082327858], [0.6028636581242639, 0.0], [0.33483790907211763, 0.5182319660403175], [0.0, 0.01993900100416456], [0.2552948331186315, -0.038616251107490514], [0.28833507289254806, 0.0], [-0.12023727268487304, 0.07768721270892189], [0.0, 0.5643823262694039], [-1.7426761495330445, -0.7855932371886502], [0.08944271909999159, 0.0], [-0.015416083848964156, -0.023859626479659987], [0.0, -1.098181778095478], [-0.6418510474032147, 0.7668293375630566], [-0.4849170677904812, 0.0], [-0.6793585893226384, 0.4389443810212173], [0.0, 0.4846231842635886], [-0.20016403591025442, 0.4440225231869089], [0.03161013326463, 0.0], [0.564869573050683, 0.8742542629346101], [0.0, -0.08606629658238704], [-0.0349927402503525, -0.2313395403844499], [-1.0084466159014183, 0.0], [-0.6763634272856401, 0.4370091592295869], [0.0, -0.21552342810122352], [0.034744336751355694, 0.015662643911081166], [0.9091799255951001, 0.0], [-0.45262911068625267, -0.7005385816917643], [0.0, -1.5257315985085855], [0.22073640816314788, 0.24977299538249384], [0.5501256322921363, 0.0], [-0.9550118356315295, 0.617048324180582], [0.0, 0.5731572993753752], [-0.059841579190035146, 0.1327461692237361], [-0.31800199396552353, 0.0], [0.06266477796602797, 0.09698690084646354], [0.0, 0.7258517228305252], [-0.36675226102869213, 0.05547545648737335], [-0.07799036608276774, 0.0], [-0.060384110997657524, 0.039015133748158855], [0.0, -0.8548774060025052], [-0.951935620642846, -0.4291297531192957], [-1.1311324645573464, 0.0], [0.45249970838299575, 0.700338304458482], [0.0, -0.02779156544439411], [-0.4306042074646633, -0.12074773916611933], [-0.11886068025789903, 0.0], [0.0933256888526221, -0.06029921071232396], [0.0, -0.5943420964837968], [0.4017380133518706, -0.8911727101094847], [-0.2178171904920044, 0.0], [0.849407906795342, 1.3146370753794556], [0.0, 0.9138010188815183], [0.007358618596638541, 0.04864836054083182], [2.271001312582724, 0.0], [0.08788624819017395, -0.0567847016559793], [0.0, 0.12364139330343862], [0.7656952341822741, 0.34517313953160766], [0.9004221795171463, 0.0], [0.3854254538311628, 0.5965268127925295], [0.0, 0.017043986332879606], [0.6321272585826683, -0.5586412588273555], [-0.35622127766216727, 0.0], [-1.231264436124735, 0.795539519603451], [0.0, -0.7039147998443605], [-0.06126361758014443, 0.1359006673391122], [-1.9156069368267996, 0.0], [-0.08364417032823222, -0.12945691530905734], [0.0, -0.08264846189570578], [1.379064835540267, -0.20859926279035435], [-0.06511921382132009, 0.0], [0.9269833368902436, -0.5989386657110917], [0.0, 0.19737856861692593], [-1.43561607186644, -0.6471714653120206], [0.016400583495587238, 0.0], [-0.09002316547167306, -0.13932974961180344], [0.0, 0.6971674450968497], [-0.17075473777801273, -0.551521670344598], [-0.7059399179205946, 0.0], [0.8062588749561154, -0.5209366722857477], [0.0, -0.46697618158979115], [0.40798420515966694, -0.9050285950300438], [0.3801749689154057, 0.0], [-0.1526056678141257, -0.2361893116563948], [0.0, 1.2643442429462552], [-0.0299120194864549, -0.1977505274082523], [-0.6009431894441157, 0.0], [-0.03044385591236295, 0.01967025912291057], [0.0, 0.10483059831479122], [0.12314858681672158, 0.05551501751973761], [0.43716867010704036, 0.0], [-0.7977941696753125, -1.2347539804917738], [0.0, -0.46491737295284624], [1.1976656265580137, 1.355211555272506], [0.31291251032385237, 0.0], [-0.018481587200490524, 0.011941247202155062], [0.0, 1.0815315977712032], [-0.019782561873207715, 0.04388352282215764], [0.4815348434188803, 0.0], [-0.4199995596576748, -0.6500375006540412], [0.0, 0.37561514556885334], [-0.19028553371924156, 0.028782854170850112], [0.16290335279169346, 0.0], [-0.05677898568638246, 0.03668580499139823], [0.0, -0.6564541721934005], [0.34393836752877893, 0.15504639551801574], [-0.4231580165559709, 0.0], [-0.04562340139585165, -0.07061179263822967], [0.0, -0.3854478824655995], [0.0230093945799289, -0.08205488720332146], [-0.06666666666666667, 0.0], [0.48342118077041, -0.3123461074914573], [0.0, 1.243863839113797], [0.08801028204074271, -0.19523261169475686], [0.603767567718501, 0.0], [0.33850583916725907, 0.5239088579722111], [0.0, -0.041506712398374584], [-0.18397661429237847, -1.2162827228558446], [-0.002244375354319149, 0.0], [0.5063639956079274, -0.32716982476833684], [0.0, -0.7042477421071842], [0.5624816133262864, 0.25356504224292936], [-0.48139717724504005, 0.0], [0.01082075420649022, 0.01674738903372103], [0.0, 0.30833805747197074], [0.19347333028974814, -0.17098168654350293], [0.13016803193423213, 0.0], [0.2421816236826125, -0.1564773958449094], [0.0, 0.06415002990995841], [-0.058830738212591355, 0.13050382753980566], [0.44396573504760933, 0.0], [0.30628627932627317, 0.47404232437803695], [0.0, 0.6708501239624268], [-1.8900639382105942, 0.28589369692898076], [-0.9036526678041538, 0.0], [0.07512573035572466, -0.04853992829124236], [0.0, 0.31373618458457847], [-0.025896899603058514, -0.011674245497516887], [-1.176616166940266, 0.0], [-0.5959754499403243, -0.9223971383354207], [0.0, 0.06041107780063585], [-0.12295788600217922, 0.9924118894238798], [0.9492358833556003, 0.0], [-0.4072969744914628, 0.2631610480383046], [0.0, -0.012408958510503835], [-0.3324024774386265, 0.7373661610822727], [-0.41003943665675674, 0.0], [0.2630015595358878, 0.4070501325481556], [0.0, 0.39063454026752514], [0.07284385036637718, 0.48157597098791327], [-0.021527254026234382, 0.0], [0.02655033715480301, -0.017154594777317084], [0.0, -0.8463441457067865], [0.9489031563031475, 0.4277627271931526], [-0.4596507372700781, 0.0], [-0.04670756777565652, -0.07228976773990811], [0.0, -1.226460091612615], [-0.1549378195239523, -0.17531898612723137], [0.08898584185369934, 0.0], [-0.8470257759008594, 0.5472768148593269], [0.0, 0.1687204702586443], [-0.33093697851497117, 0.7341152547601155], [-0.4545713851007505, 0.0], [-0.11696303344066272, -0.18102485152282732], [0.0, 0.6371879974167628], [0.03768285803898713, -0.005699961455174652], [0.18705614894465641, 0.0], [0.7636485856242459, -0.49340548717986565], [0.0, -0.7041993711323306], [-0.7603546238917969, -0.34276560825978575], [0.0957722114332198, 0.0], [-0.8280037003402806, -1.281509571915234], [0.0, 0.08330579518873606], [0.32095342642946983, 0.09000005096828553], [-0.9452575251844828, 0.0], [0.46206768230233125, -0.2985492727785058], [0.0, 0.5542046523254892], [-0.4672764945294148, 1.03655627837116], [0.3486723763949089, 0.0], [0.31104839489708064, 0.481412698066039], [0.0, 0.2759278151900604], [0.021777593664034003, 0.1439732491046106], [0.16235134820271424, 0.0], [-0.26709979629005876, 0.17257742316959648], [0.0, -2.5225360936548804], [0.10526820426857117, 0.04745459412326386], [-0.07157630572859812, 0.0], [0.39391457382775086, 0.6096655083421917], [0.0, -0.020926438276138975], [-0.2779405304279839, 0.24562941352279313], [-0.06401922330234536, 0.0], [-0.06550654174688227, 0.04232481766160486], [0.0, -1.0696772853069942], [-0.02954526285383865, 0.06554005618903397], [0.8487427819051346, 0.0], [-0.46393589553974984, -0.7180382051975386], [0.0, -0.30687367648969555], [-1.0324460965149893, 0.15616923081026332], [1.7584914827212745, 0.0], [-0.9500734479454066, 0.6138575534150437], [0.0, -0.01270383734929872], [0.7601372458281666, 0.3426676148737243], [1.3861017956624426, 0.0], [-0.015082285146811755, -0.023343002904517282], [0.0, 1.0377306986597639], [-0.427206848863425, 0.13226605114005155], [0.44682150887097094, 0.0], [-0.0998347937630372, 0.06450484683853096], [0.0, -0.08678553774046781], [0.0456632044855847, -0.10129437678594679], [-0.36171819487455836, 0.0], [-0.3225452337997276, -0.4992064701161574], [0.0, -0.03902862839609459], [-0.1462008077425566, -0.9665441295829257], [0.13419973154010809, 0.0], [-0.18295145411948208, 0.11820784199619402], [0.0, -1.4499150079038146], [1.4268884043337042, 0.6432370586857605], [0.04853699624860519, 0.0], [0.49591332168005703, 0.7675299860521108], [0.0, 0.4654885929467658], [0.03258185303336158, 0.03686780579142164], [0.1746103490368529, 0.0], [1.9074848569379252, -1.2324562800785097], [0.0, 0.3322931080048268], [0.04300174766367135, -0.09539048517002818], [1.6125998785098008, 0.0], [0.06709930584812429, 0.10385026380667249], [0.0, 0.16982095896499821], [0.8304543274867322, -0.12561567522452693], [-0.3601234485617752, 0.0], [0.7562926814545534, -0.4886527205947896], [0.0, 0.035009872455224], [0.6474617276422997, 0.2918738256161723], [-0.08861803620189725, 0.0], [0.009249650309378493, 0.014315775887795992], [0.0, 0.34806349530268627], [0.22777276384006637, -0.8122711955745503], [-0.8160476636612842, 0.0], [-0.29920136509604633, 0.19331875693767855], [0.0, -0.3729952858359839], [-0.6024437688467407, 1.3363969261765705], [-0.011511787597126625, 0.0], [-0.382009561554046, -0.591240002301275], [0.0, 1.849334996509354], [0.022295102972003832, 0.14739454062376248], [0.8624152527578597, 0.0], [-1.608978032552002, 1.039586276931378], [0.0, 0.166470331951323], [-0.14051069665898988, -0.06334180511826372], [-0.5084872152906832, 0.0], [-0.04485273317008777, -0.06941902175123789], [0.0, 0.016581175020701146], [1.045114243630132, -0.9236177189843213], [-0.32584628799750753, 0.0], [-0.05469565938674299, 0.035339734760693936], [0.0, -0.004102181005894764], [0.4535624669644167, -1.0061345440432437], [-0.5489029539232152, 0.0], [0.1071159470921602, 0.16578441792827237], [0.0, 0.051639777949432225], [-1.5570340864981556, 0.2355191389212131], [-2.224780872822943, 0.0], [0.013775361770795616, -0.008900480160049297], [0.0, -1.0615604269611905], [-0.15122653074607453, -0.06817247132776284], [0.634035545202566, 0.0], [0.3783478200630074, 0.5855726885335749], [0.0, -0.8661910866070809], [-0.4427291244645331, -0.37057287499788927], [-0.03215096117494514, 0.0], [-0.592940962156527, 0.38310857874841153], [0.0, -0.2799669996234783], [0.3944933525599598, -0.875101928213881], [-1.602338819689766, 0.0], [-0.25342465654187346, -0.3922278644217097], [0.0, 0.32633168503348026], [-0.14847392668391732, -0.9815718835505014], [-0.27979732589011647, 0.0], [0.3193208177269899, -0.20631825502363133], [0.0, 0.37288865007626004], [-0.2563565232882187, -0.1155647600148673], [-0.8953377834035712, 0.0], [0.6861506392649697, 1.0619621767782563], [0.0, 0.018250118949454074], [-0.13244184489788874, -0.1498637972294963], [-1.3539327851754215, 0.0], [-0.504750934045475, 0.32612760005784075], [0.0, 3.457237383319893], [-0.014895834522595628, 0.03304332868599366], [0.049690399499995326, 0.0], [0.0568908210319433, 0.08805049020504375], [0.0, -0.12283777248010085], [0.13356394591516643, -0.020203068003223665], [-0.26527275614416157, 0.0], [0.36719160554271824, -0.2372483318004978], [0.0, -0.582226925154051], [-1.3401844280559758, -0.6041511634553703], [-0.05258013126482825, 0.0], [-0.252307355719534, -0.39049860681338217], [0.0, 0.6999663466322782], [1.741420410703083, 0.48831983962299735], [0.12443250923091234, 0.0], [0.26282498018919076, -0.169815396550862], [0.0, -0.41092059125453756], [-0.009042831678283963, 0.020059652176210217], [1.136632310972268, 0.0], [0.5869395153543797, 0.908412132400871], [0.0, 0.5249152747841349], [0.007199285178290695, 0.04759499577131787], [0.04679421964966064, 0.0], [0.4044561387174588, -0.2613255388977689], [0.0, -0.012199347000921446], [-0.7055414680113082, -0.318056000235244], [0.8808815491100499, 0.0], [0.20384367128456873, 0.3154908798332205], [0.0, -0.6745296303014752], [-0.14420650612038197, 0.12744222467294453], [0.12418617415032432, 0.0], [0.13682760854117862, -0.08840649236157334], [0.0, 0.31761518189197796], [-0.027781315795865392, 0.06162710439483364], [0.5173472858657788, 0.0], [-0.3562530160686665, -0.5513763403811421], [0.0, 0.7486500956910468], [0.37302714311397084, -0.05642460386852077], [-0.3309125210823718, 0.0], [-0.35542362049735726, 0.22964484964425805], [0.0, 0.9681938884060243], [-0.07664103653521566, -0.0345495518540991], [-0.6555753562965055, 0.0], [-0.2091798277507104, -0.3237497023309794], [0.0, -0.18359853681883276], [-0.025204296007758618, -0.08140749483701087], [0.9114229637412872, 0.0], [-0.05599541331157326, 0.03617952642739438], [0.0, 0.8246540841445967], [0.23653251855490404, -0.5246984815573573], [-0.41907068756795735, 0.0], [0.6750360695894677, 1.04476004661746], [0.0, -0.0689281367095249], [-0.032028769736402375, -0.21174451663081928], [1.6817522711517872, 0.0], [0.5071232174778115, -0.327660370084127], [0.0, -0.04502775885208341], [0.5686432311765485, 0.256342681286537], [-0.6866868072336954, 0.0], [-0.02252539797196877, -0.03486278273927381], [0.0, -1.0609252924485892], [-0.8145956920756777, -0.9217510048683764], [0.4935637004796754, 0.0], [-0.0018851208838711415, 0.001218006561668734], [0.0, -0.8787850934840855], [0.24775817848070303, -0.5496002868293406], [-0.08870237059124447, 0.0], [-0.38219024695499537, -0.5915196508955106], [0.0, -0.6530596329013088], [0.6100538034788607, -0.09227758578753659], [-0.7085424575006244, 0.0], [-0.40434050860291065, 0.26125082844314973], [0.0, -0.07418483598206317], [0.018177378124060947, 0.008194308120823005], [0.01604546779052204, 0.0], [0.16733287348317918, 0.2589827545174595], [0.0, -0.41527692421140183], [0.06971373971159772, -0.24860945509390883], [0.26335072001518023, 0.0], [0.10933219122167094, -0.070641266270497], [0.0, -0.06862424574296004], [0.11849673054472555, -0.26286049362763075], [0.4292850777694583, 0.0], [0.0348137655366822, 0.05388161158136863], [0.0, 0.42045566720534705], [0.021409727635702456, 0.14154126014608895], [0.3431435693956466, 0.0], [0.3729006724525097, -0.24093705066018828], [0.0, -1.6061054378552955], [0.5145188040761594, 0.23194355015240795], [0.28781213195909083, 0.0], [0.36406559683079126, 0.5634679494209438], [0.0, -0.12575681356468674], [-1.4323711926290184, 1.2658553088700084], [0.07107707164973286, 0.0], [-0.7590060693569911, 0.4904058836400872], [0.0, -1.4837374948391902], [0.03675817054808666, -0.08154040040346733], [-0.5275832642369989, 0.0], [0.17026239872111457, 0.26351680989914267], [0.0, -0.14091446527397994], [-0.028087144053883215, 0.004248500427633048], [-0.01620954938778474, 0.0], [-0.9882766286534892, 0.6385412356007224], [0.0, 1.3111632191496292], [-1.001156749288779, -0.4513184918596513], [1.0268007262067271, 0.0], [0.032784662786932234, 0.05074114905066319], [0.0, -0.0968960831587602], [0.4352987180049347, 0.9002860801452283], [-0.07138439170672067, 0.0], [0.7972928342800978, -0.5151435709154248], [0.0, -0.657433331906468], [-0.19928580502560195, 0.44207434957234953], [1.3284592801128712, 0.0], [-0.006734253635508208, -0.010422671408427401], [0.0, 0.519858987728534], [0.12096816602363442, 0.7997293075318819], [0.583649925570244, 0.0], [-0.3444049159445964, 0.2225254895219555], [0.0, 0.3334914114091972], [0.44180643083401133, 0.19916502805335098], [-0.009840350097352343, 0.0], [0.2119945900959297, 0.3281061380408472], [0.0, -0.44725072663871096], [0.32253168116440506, 0.36495884290480374], [-0.9453334730603833, 0.0], [-0.018081412299933357, 0.011682687839270683], [0.0, -0.20566445054932467], [0.012990779811714445, -0.02881735874245279], [-1.7679679665155084, 0.0], [-0.459304955794038, -0.7108708536402284], [0.0, -0.34610645251690797], [1.0291571598448517, -0.1556717416806198], [0.40640539917670304, 0.0], [-0.38607499518611094, 0.2494491899465115], [0.0, 0.8374757425723697], [-0.07846228687128622, -0.03537056610142668], [-0.48465530471766405, 0.0], [-0.665591179449647, -1.0301420960999759], [0.0, -1.1059761806384671], [-0.22528147700477716, -0.06317223230235909], [-0.030231445560678447, 0.0], [0.07474198490214284, -0.04829198425514778], [0.0, -0.26723745255997733], [-0.41444013631232124, 0.9193497433166811], [0.04771711172359426, 0.0], [0.09156340068847543, 0.14171358699383688], [0.0, -0.4562806253183862], [0.12043484052476856, 0.7962034540291202], [-0.0710567513995256, 0.0], [-0.38180868882496294, 0.24669266160584805], [0.0, -0.03759659562915595], [-0.19648180199055823, -0.08857341331938344], [0.3369843946009146, 0.0], [0.34579739987637403, 0.5351940790878796], [0.0, -1.519037365923761], [0.028557679568277077, -0.025237794837357403], [-0.11395656972324521, 0.0], [0.15711429558940868, -0.10151404326224724], [0.0, 0.7954674538982748], [0.37364461970973967, -0.8288533255450422], [0.25739313467243935, 0.0], [-0.3821639963705498, -0.5914790226045724], [0.0, 0.009468881296044226], [-0.8246620321593575, 0.12473952458677898], [1.896153359182026, 0.0], [0.08044206844449787, -0.05197489881837267], [0.0, 1.6397975401223814], [-1.390932282721982, -0.6270281457553402], [-0.4025098120969098, 0.0], [0.04520946327878969, 0.0699711364926382], [0.0, 0.27895042377170776], [0.3184211848373657, -0.0985852938215396], [-0.9442499539945673, 0.0], [-0.7939512871286999, 0.512984544196581], [0.0, -0.4075746016431576], [0.2260844931610566, -0.5015216976930619], [-0.13338387926398965, 0.0], [0.30076292797492427, 0.465493778492438], [0.0, -0.040607983067052135], [0.17005162237279897, 1.124223592662397], [0.2696088241460095, 0.0], [0.29286080739842046, -0.1892220218442301], [0.0, 0.5756194856759056], [0.5225185029649047, 0.23554979067404921], [-0.7090453061715276, 0.0], [0.1497440652258297, 0.2317603808359025], [0.0, 0.21949412064246707], [0.09642493993450764, 0.10910907845894688], [0.9566080836453503, 0.0], [0.13636396266453196, -0.08810692339234809], [0.0, 0.008916992329749704], [-0.13068891069544236, 0.28990632415883505], [-0.729969489013374, 0.0], [-1.3689624189666438, -2.1187567673634975], [0.0, 1.2737333280866414], [0.11417132023154493, -0.017269712502510068], [-1.3146449585728148, 0.0], [-0.06011917233882571, 0.038843952670246124], [0.0, -0.3469547121932325], [0.6617222811281145, 0.298302440812418], [0.1289473646570189, 0.0], [-0.01135662939964211, -0.01757676840617293], [0.0, -0.8616045908620742], [-0.10014958529189381, 0.357148159463271], [-0.06052397415635424, 0.0], [-0.05377174303051096, 0.03474277771992699], [0.0, 2.848071084855001], [-0.0320516103090873, 0.0710998697489562], [1.675218727181249, 0.0], [-0.580506264188218, -0.8984553255115022], [0.0, 0.25239944936757047], [0.010752134850664488, 0.07108314229490192], [-0.7766979282401627, 0.0], [0.7128855430198875, -0.4606066786199556], [0.0, -0.8201189152830749], [-0.7793484666246951, -0.3513279762035875], [0.2684201704252594, 0.0], [-0.1665381643264592, -0.2577527752422379], [0.0, -0.12492484044899044], [-0.7824317562454728, 0.6914725718924309], [0.04, 0.0], [1.477011860697886, -0.9543208360719342], [0.0, 0.18066012206827772], [-0.4648601972642895, 1.031196222537196], [-0.03406876295387979, 0.0], [-0.006894282286624091, -0.010670349345254746], [0.0, -0.7292965469537354], [0.824426269227079, -0.12470386275812585], [-0.6244225591102903, 0.0], [1.1642301441004852, -0.7522275982084222], [0.0, -0.4911218214946156], [-0.0253361637143618, -0.011421467422756902], [-1.7954561968095712, 0.0], [0.5631690785501904, 0.8716223906634175], [0.0, 0.27801427147207486], [-0.28704451468460557, 0.3429365051864255], [0.39122328227641867, 0.0], [0.3752993259859622, -0.24248685882788285], [0.0, -0.9181260333590419], [-0.048848035931209295, 0.10835926677969814], [-0.21686150540587795, 0.0], [-0.04709789484295331, -0.07289388082866953], [0.0, -0.49357168983811894], [-0.016617788603586054, -0.10986140411569573], [-0.5204970421825164, 0.0], [-0.30381839736475647, 0.19630189486100208], [0.0, 0.0940522945861768], [-0.5418316103488133, -0.24425608217517655], [0.13567371575460835, 0.0], [-0.021180559387221885, -0.03278136267034682], [0.0, 0.21673007669715807], [-0.6473352530327801, -0.7324884304866378], [0.3790039930265127, 0.0], [0.1127185415083579, -0.07282924100706857], [0.0, 1.1508700490074841], [-0.08951607818920758, 0.19857290907738095], [0.7977708559109321, 0.0], [-0.7868585751889767, -1.2178288520134066], [0.0, -0.2443103947683379], [1.547568271709369, -0.23408732662655957], [0.014136481351508004, 0.0], [0.04076773748764393, -0.0263406830772413], [0.0, 1.715710119277719], [0.8330661424256993, 0.3755437450589018], [0.22253843870008513, 0.0], [0.25261735275252206, 0.39097839230815257], [0.0, -0.1207628029408364], [0.047374411215162025, 0.013284480154612265], [0.17928290479003997, 0.0], [0.1466606799419497, -0.09475979606213064], [0.0, -0.03849001794597505], [0.9333107759114657, -2.0703569637432073], [-0.32377567993331935, 0.0], [0.18033310924052467, 0.27910334884976296], [0.0, 0.08180351706696375], [-0.01564922918375624, -0.10345818763663756], [-0.7181451223475921, 0.0], [1.3544729505502369, -0.8751464988203744], [0.0, -0.3008813486484793], [0.11271760091656155, 0.05081276002767769], [-0.45099103696703835, 0.0], [0.09216062809199413, 0.14263792179319196], [0.0, 0.34858536775024224], [0.6293537649378513, -0.5561901891098998], [0.0870590646765825, 0.0], [-0.30247892018108546, 0.1954364373654772], [0.0, -0.1585186771341798], [0.3700454589598258, -0.8208693316658991], [0.023963911576377946, 0.0], [0.018999609085702248, 0.02940588417173598], [0.0, -0.09638500719562484], [0.7022211574515129, -0.10621894778630064], [0.2287158415887292, 0.0], [-0.07443305345977798, 0.048092378740654994], [0.0, -0.0012957907149787223], [0.015538139761835108, 0.007004547298510131], [0.2408653580257501, 0.0], [0.18889158640072196, 0.29234938917217135], [0.0, 0.05401063658647188], [-0.24950035701235174, -0.8058625806911256], [0.4065976234817689, 0.0], [-0.6854238931298601, 0.4428632702017031], [0.0, -0.0030888521839176294], [-0.14639584539603412, 0.32474891086814645], [-0.7825757510864145, 0.0], [-0.2024218920179475, -0.31329037790481495], [0.0, -0.2779347898695499], [0.2192418011180804, 1.4494234272837427], [2.666157928524777, 0.0], [-0.009669109566842225, 0.006247365353951904], [0.0, -0.6823279139369228], [-0.6417234986457507, -0.28928704901150215], [-0.1780190604828486, 0.0], [1.003620965689732, 1.5533141622164726], [0.0, 0.525014478582341], [0.09871632275238763, 0.11170187932379946], [0.12527889174820933, 0.0], [0.7243694778657191, -0.46802663142811474], [0.0, 0.07515254827711272], [-0.7872547614329403, 1.7463618974943649], [0.24602366199405404, 0.0], [0.09034226661315008, 0.13982362562593698], [0.0, 0.2382159045043041], [-0.15239446569528484, 0.023051398584108228], [-0.037037037037037035, 0.0], [-0.42709427675779116, 0.2759523996540217], [0.0, 0.19651255912556256], [-0.07534641996038328, -0.03396594254366402], [0.38024870260814175, 0.0], [0.00899848589788063, 0.013927046227135425], [0.0, 0.25632373664070734], [0.3765832853561782, -1.3429514147022337], [-0.8780754329954217, 0.0], [-0.27368846358693555, 0.17683446581811274], [0.0, 0.7054980043326465], [-0.02676196778997108, 0.059365891627392885], [-0.38731549965560097, 0.0], [-0.0022262244916908727, -0.00344554981355944], [0.0, -1.7199625312787226], [-0.1650608028815643, -1.0912289235114907], [-0.1422148150974777, 0.0], [-0.46104071659310836, 0.29788573391309703], [0.0, -0.5217241110106516], [0.17994005189058374, 0.08111644145844031], [0.06595320117476369, 0.0], [0.02802454066539391, 0.04337386064394487], [0.0, 1.5516791550052094], [-1.179986944543724, 1.0428112111123957], [-0.1811356706244325, 0.0], [-1.868662867521051, 1.207372775751888], [0.0, 0.32461075876687806], [0.00674012878057715, -0.014951581957002545], [1.4052224328455272, 0.0], [-0.5761013028227767, -0.8916377229435306], [0.0, -0.6793196607158283], [-0.1640165973123805, 0.024809378357719705], [-0.8907319778868673, 0.0], [0.5325462361176956, -0.3440865864534546], [0.0, -0.005760830508555567], [0.6355722767988254, 0.28651409645535086], [-0.03487835203023253, 0.0], [-0.470075749636115, -0.7275409185204637], [0.0, -1.1158886070385439], [-0.5729692715058622, -0.07098976858234549], [-1.67697299403502, 0.0], [-0.02700459539033097, 0.017448098242425873], [0.0, 0.548041592779808], [-0.29011930943890496, 0.6435696963068015], [-0.9706844474817036, 0.0], [-0.15193610192513918, -0.23515301786276618], [0.0, -0.38231279845005767], [-0.1435643251982212, -0.9491141525169818], [0.007164315536402286, 0.0], [-1.3458543671056038, 0.8695778950890871], [0.0, -0.3625928014568882], [-0.42571855159217115, -0.1919126598284895], [0.703600479320743, 0.0], [0.17709788734147405, 0.2740961637016781], [0.0, -0.23673637913214102], [-0.6573999718794122, -0.7438771044028498], [-0.5058578164614196, 0.0], [-0.23501050360035047, 0.1518440211953362], [0.0, 1.0485195869393757], [0.15624006611296481, -0.34658627891312443], [-0.22553295697822134, 0.0], [0.20236402154864197, 0.31320081120322196], [0.0, 0.049048207765572144], [-0.27803801648512716, 0.042056416617836684], [0.2589022127592921, 0.0], [-0.7520221385272624, 0.48589345494141306], [0.0, -0.012428765906959875], [1.1526386591892657, 0.5196060873524397], [1.3973683891640336, 0.0], [0.009904209912522968, 0.01532884430340084], [0.0, -0.36844500998566176], [-0.19257205585768192, -0.05400003058097132], [0.488637020350877, 0.0], [-1.137210388529809, 0.7347697047325475], [0.0, -0.9591859790000575], [-0.24696892569425513, 0.5478494927265077], [-0.05315611218170589, 0.0], [1.8762181691339677, 2.9038415429282916], [0.0, -0.26537947689608954], [0.005420903590956637, 0.035837986285960834], [-1.2973273832238268, 0.0], [0.04173651686429148, -0.02696662682846798], [0.0, -0.5234059986288546], [0.0955687511195523, 0.04308210942475053], [0.7080970640428763, 0.0], [-0.066663186535891, -0.1031752776044437], [0.0, -0.2657978659255017], [0.1012204638346093, -0.08945339180980752], [0.31153958921187125, 0.0], [-0.2228108643088877, 0.14396164037078155], [0.0, 0.05137599974829878], [0.17966270140010016, -0.3985445518995044], [-1.5322521172868155, 0.0], [-0.31597041638027334, -0.4890305597269128], [0.0, -0.886003897305874], [-1.4535312592065512, 0.21986315748123417], [-0.09741080892162854, 0.0], [-0.0441636927322625, 0.028534863729775786], [0.0, 0.08777293752715262], [-0.4238416399519634, -0.19106655363042], [1.0859550666905147, 0.0], [0.379866764044038, 0.5879235732579956], [0.0, -0.26244691155381933], [1.7276810428378502, -0.5349014178345788], [0.23227189794527195, 0.0], [0.10451474675671639, -0.06752863884220182], [0.0, 0.40866423922552875], [0.12859729150514135, -0.2852664994960269], [-0.3678806618329666, 0.0], [-0.22300368586281097, -0.3451450251830083], [0.0, -0.08518721412896527], [0.0032908742805155765, 0.021756208232643674], [0.5131910565241139, 0.0], [0.9546929405427123, -0.6168422809957727], [0.0, 0.10799691794677212], [0.9859776225348899, 0.44447578655982845], [1.0156226623852438, 0.0], [0.2848677908429339, 0.4408927164764353], [0.0, 0.024571895208352172], [0.031876370346395844, 0.03606952097116813], [0.4065696964864162, 0.0], [0.039303925048129365, -0.025394890596962916], [0.0, -0.2030912350823131], [0.1978958161977331, -0.4389909467835056], [1.0344068717893495, 0.0], [-0.006620498958251877, -0.010246612161718472], [0.0, 0.05529411205185521], [-0.7652130236347457, 0.11574718497209129], [-0.43186775278621253, 0.0], [0.7398798963143425, -0.4780481592814672], [0.0, 1.2095473856493402], [0.34242931873583715, 0.15436612079993894], [-0.04809662327727259, 0.0], [-0.36606243878329164, -0.5665584815945072], [0.0, -0.08350706567273133], [-0.051961553653619694, 0.18530254714638716], [0.4026810403697716, 0.0], [0.1043078422369564, -0.06739495454382989], [0.0, -0.5457446866187806], [0.06694820198923, -0.14851074237638232], [-0.7033993267204192, 0.0], [0.17236750300503734, 0.2667749007610774], [0.0, -1.8824974829663697], [0.010110197876517813, 0.06683925046212726], [-0.3199702052062642, 0.0], [0.434536126465124, -0.2807606970168255], [0.0, 0.007622302409579232], [-0.5984560463477859, -0.2697822099025423], [0.016470279250063162, 0.0], [0.40628708882888337, 0.6288145730095356], [0.0, 0.20130609037058717], [0.28269590412428675, -0.24983196595480425], [1.8038835084184772, 0.0], [-0.27794375081973166, 0.17958387452483052], [0.0, 0.560757974420252], [-0.17390475935738764, 0.38577174812112985], [-0.15930699837688667, 0.0], [0.5254319455864122, 0.8132162542055186], [0.0, 1.5605442709935482], [-0.08312299412665197, 0.01257329956423232], [0.09358697608438374, 0.0], [-0.5506381954905709, 0.3557760889241686], [0.0, 0.09373359458813572], [-0.35139332734034195, -0.15840706928006063], [-0.5841113034651101, 0.0], [-0.09963762172301849, -0.15421013928855962], [0.0, -0.3148002685640297], [-0.0653491437453793, -0.054698502398424255], [1.4563868927121921, 0.0], [0.7655325833452864, -0.4946227680481801], [0.0, -2.3514498675469477], [-0.027397922691350822, 0.06077662607156807], [-0.01126252716256865, 0.0], [0.44753391346152216, 0.6926526942113042], [0.0, -0.04132459938000507], [-0.08607909662713327, -0.5690751426713164], [-0.8566854657829739, 0.0], [-0.3519905453569944, 0.2274266852371687], [0.0, -1.0559533755004666], [1.1339677115064652, 0.5111892795390998], [0.012081884771908927, 0.0], [-0.037406810155099626, -0.057894892557697086], [0.0, 0.7738520387828949], [-0.14181420801827452, -0.16046904006130389], [-1.3203830603248543, 0.0], [1.4125562026623204, -0.912675011076999], [0.0, -0.03696151580691985], [0.24812965715844623, -0.5504243354605124], [-0.041299554645925995, 0.0], [-0.024436244870329395, -0.03782021951124394], [0.0, 0.6605531308459287], [0.616736543529521, -0.09328842633111495], [0.6175784686180212, 0.0], [-0.5767696737998311, 0.37266005234481825], [0.0, 1.508442306393665], [-0.037839569083441965, -0.017057965461941996], [-0.029122197749163116, 0.0], [-0.5757566198345226, -0.8911042536504075], [0.0, 0.4900218736056813], [-1.1844320594957607, -0.33213213178303674], [1.088494151451096, 0.0], [0.4145595510592346, -0.2678535141766047], [0.0, -0.3682303665136016], [-0.0009223683367201372, 0.00204608342510547], [0.17717359972853586, 0.0], [-0.47691042770561565, -0.7381190178253637], [0.0, 0.08827037934581061], [-0.09016434744744233, -0.5960830317467074], [-0.3875190517579567, 0.0], [-0.07450388854459614, 0.04813814641467689], [0.0, 1.015265530916792], [-0.6420270252569166, -0.28942387790716506], [-1.175883014113711, 0.0], [-0.35441082370826055, -0.5485251609211964], [0.0, 1.3634244018201398], [0.46232483271659647, -0.4085786889099475], [0.007334563913358837, 0.0], [-0.5951269163481794, 0.38452095849112194], [0.0, -0.5845412899068397], [-0.19783923968991177, 0.4388654434999527], [2.056389603116998, 0.0], [-0.040259583508874576, -0.06231015828400349], [0.0, 0.8002662448499349], [0.01971473982283607, -0.00298207893288507], [-1.7574356239962963, 0.0], [0.013477089010617269, -0.008707761389506461], [0.0, 0.31178275978728165], [0.2810962023391145, 0.12671733392127513], [-0.5991340982175531, 0.0], [-0.22536783681290196, -0.34880404514964497], [0.0, -0.08593975169431231], [-0.07636384023035757, -0.2466479891909502], [-2.6540768964678607, 0.0], [0.22119648619725638, -0.14291856501693825], [0.0, 0.2579725184263698], [0.053495005137290656, -0.11866760705008138], [-0.3157059289002143, 0.0], [-0.03724189068626143, -0.05763964505358029], [0.0, 0.813568228282407], [-0.04312342159495146, -0.28509206367399126], [0.05010565357622552, 0.0], [0.3605699303728753, -0.2329699622406925], [0.0, -1.3282709555677616], [0.05848233570476176, 0.026363663401813255], [0.01836689181486307, 0.0], [0.22817830384805382, 0.35315383296535063], [0.0, -0.20883809718161175], [0.09479613464807249, 0.10726601333582927], [0.5075203244147721, 0.0], [0.28821698990276634, -0.1862215775601035], [0.0, -1.2366460178907408], [0.18245608329664714, -0.40474109201366126], [0.022533189110587083, 0.0], [-0.8716220120110123, -1.3490180672200893], [0.0, 0.983759090458116], [0.5580345133983547, -0.08440907570590578], [0.17001941476774332, 0.0], [0.24174238927701533, -0.15619359951507966], [0.0, 0.07748025112985692], [0.6115801070119425, 0.2756984975070853], [-1.1714536978059424, 0.0], [-0.06824732939682737, -0.10562707128451644], [0.0, 1.2146092361996896], [-0.516122570194996, 1.8405690394557799], [0.8371088201153457, 0.0], [0.059699850060046473, -0.03857302188199971], [0.0, 0.5654319348376671], [-0.37137308898496696, 0.8238144043456197], [-1.2783842203231521, 0.0], [-0.8052137985877561, -1.2462374140409813], [0.0, 0.028022847849788063], [-0.0133770617832023, -0.0884367243742575]], "angles": [null, null, null, 0.006783640484132461, 0.06930098767784834, -0.4298015654249299, -0.2313384395289211, -0.47031090434961276, 0.12282461707253804, -0.1445660591076621, -0.297505963704159, -0.26159761554088806, -0.16872296678470536, 0.06897628431154795, -0.35572033509805623, -0.2538309431940793, 0.04991293481193125, -0.26140137048433953, 0.0871145506862476, -0.43153700339335666, -0.34623919287777966, 0.06844212045566776, 0.14304993353025955, -0.38092983958352306, -0.1703264357283244, -0.2528844954354424, -0.3685833649605964, -0.4367627846564191, -0.2553804274337987, -0.20354235606032398, -0.4074870375228179, 0.03895281294321581, -0.33411057605059646, -0.48281582165120074, -0.2754136535591464, 0.05911108970244778, -0.3456711687005036, -0.45197842029592206, 0.07552023104494517, -0.17567436651202636, -0.4427580964929037, -0.45360057446320745, 0.05666864918030882, -0.30741410846237754, -0.21956141740475366, 0.10891822263897347, 0.09093273700549039, -0.4691339079154317, 0.10682597536940043, -0.20119227017364136, -0.25017860175338247, 0.024635016209865423, -0.23963423022930835, 0.02506987661962284, -0.171293118984121, 0.031286828393613034, -0.2869077519179434, -0.3949349318162367, -0.28649256001634243, -0.23509275700089413, -0.442733902344063, -0.2221110258687158, -0.4101861966161534, -0.47548291877336796, -0.07902358030509758, -0.12813305073103617, -0.370929686728885, -0.23608723730294223, 0.0027861394309257057, -0.25705430881420743, -0.3168909869975172, 0.1878285274043646, 0.001319503099455372, -0.294248134574651, -0.4109494836719522, -0.42871063300642853, -0.3978942175451872, -0.32387283483698676, -0.36835288519067866, -0.2711721255775755, -0.46706542878387197, -0.15379752936171304, -0.44524911340609674, -0.24011121685266454, 0.0610627856130847, 0.0804258988344232, -0.17469244007766754, -0.09102012961729156, -0.30577973256841906, -0.4110091130569904, -0.42759686206858954, -0.46671112254404934, 0.03371028946028127, -0.3516038545352916, -0.36696986551522187, -0.48877708454887125, -0.16419279764103004, -0.2028687624586759, 0.02666294749996604, -0.28895544752763797, -0.4786701246984957, -0.22305510059455605, 0.06510160845868969, -0.051512624168625475, 0.15298517092115524, -0.32825645008536547, 0.04646353851643463, -0.17062584783383428, 0.10988491485793499, -0.3641555225557125, -0.42911531499015587, -0.09197630919570764, -0.31347723907950803, -0.4327539725227399, -0.44059461538840017, -0.2186653995197467, -0.4240926050172054, -0.4603127883123877, -0.23919513086906205, 0.09758361922526884, -0.1846985564712188, -0.23571394318806133, -0.2758791394943985, -0.4759653746229668, -0.4873722395165131, -0.23078590454641518, -0.31398516261103954, 0.042274680592215556, 0.0190017299389575, -0.21955544087342155, 0.057376524561715186, -0.33523755704625635, 0.14133670469459422, -0.12600866804815275, -0.3234632139123629, -0.40827955793798565, -0.33065249002279745, 0.08782896186157192, -0.12688463376209372, -0.3623359043239675, -0.45785795521693096, -0.38890909851475935, -0.4269567369043538, 0.006986992514101565, -0.15864843499487688, -0.4932189654604668, -0.16348652843711386, -0.2846397820484399, 0.10336821872408224, -0.4933527864910713, -0.2486893220068501, -0.07107086740093506, 0.045230069845061976, 0.14245971841068086, -0.4114754182423005, 0.06323156127663501, 0.05357100761340969, -0.15840770436678772, -0.28103407682311793, -0.3500307415833827, -0.452794596581556, -0.42080021822508584, 0.0666749370182435, -0.3843999007106814, -0.20916630177731652, 0.08184498239867491, 0.10387462066586377, -0.36036556537817194], "root": [-0.6000404698168206, -1.2806058857361267]}