# Coefficient data for embedded newform 312.4.m.a.181.21, downloaded from the LMFDB on 26 December 2024. {"label": "312.4.m.a.181.21", "an_normalized": [[1.0, 0.0], [-0.7394574795411262, -0.6732032649584262], [0.0, 0.5773502691896257], [0.09359472809863016, 0.9956103790500296], [0.5350717880255851, 0.0], [0.3886740862430823, -0.4269259748673514], [0.0, 0.7329217147053778], [0.601038836064826, -0.7992198180362141], [-0.3333333333333333, 0.0], [-0.39566283574696287, -0.3602120746859668], [1.0652679792390694, 0.0], [-0.5748159203525199, 0.05403694146247395], [0.3803574052897176, -0.9248395775707663], [0.4934052912985885, -0.541964443856999], [0.0, 0.3089238408523459], [-0.9824800537442869, 0.18636776543872324], [0.1530104063238402, 0.0], [0.24648582651370873, 0.2244010883194754], [0.603788121605989, 0.0], [0.0500798985135025, 0.5327230256951297], [-0.423152549280072, 0.0], [-0.7877203749639909, -0.7171418816794064], [0.5259126070112952, 0.0], [0.4614297770848919, 0.34700993379544665], [-0.7136981816591034, 0.0], [-0.9038631514237487, 0.4278216959182055], [0.0, -0.19245008972987526], [-0.7297044661918188, 0.06859760860543163], [0.0, 0.9027951722992239], [0.2079685382852965, -0.2284360447268397], [0.0, 0.2854042126300908], [0.8519656124175353, 0.5235977418381539], [0.0, 0.6150327545727653], [-0.11314468940379047, -0.10300710510982464], [0.0, 0.39216573237018426], [-0.031198242699543386, -0.33187012635000984], [0.4850180615449337, 0.0], [-0.4464756425796356, -0.40647213480826705], [0.5339563790677018, 0.21959945033228606], [0.32159892468602297, -0.4276399770621198], [0.0, 0.7655642368940103], [0.31290331755204426, 0.2848676777508258], [0.0, 0.18994421885315238], [0.09970346686905789, 1.0605918566000687], [-0.17835726267519503, 0.0], [-0.3888900108394751, -0.35404608412280153], [0.0, 0.2960579146815624], [-0.1075994795443159, -0.5672351235027021], [0.4628257601133287, 0.0], [0.5277494585627254, 0.48046394608780035], [0.0, 0.08834059927988315], [0.9563793303140914, 0.2921276716573936], [0.0, 0.9982314876468298], [-0.1295580287476941, 0.14230865828911712], [0.5699948423778506, 0.0], [0.5857655594616221, 0.4405144143331568], [0.0, 0.34859723454271624], [0.6077646575805424, -0.6675786426502809], [0.6750625313188165, 0.0], [-0.3075677822885951, 0.02891364288775981], [0.0, 0.34522432123623337], [0.19213504777546603, -0.2110442797218666], [0.0, -0.24430723823512596], [-0.27750463508367834, -0.9607242983848564], [0.20351851693714132, -0.4948555664076167], [0.41404205843476005, -0.45479057053161315], [1.754838827655181, 0.0], [0.014320967376140742, 0.15233874863867758], [0.0, 0.3036357852281891], [0.2640072514364204, -0.2899898840208563], [0.0, -0.3263950678845356], [-0.20034627868827534, 0.2664066060120714], [0.0, -0.5087013110297881], [-0.3586502333219395, -0.32651574259585625], [0.0, -0.4120538373010298], [0.05651138507089518, 0.601137720618044], [0.0, 0.7807580339646315], [-0.24700297130353815, -0.5218456337850848], [-0.31493996600132773, 0.0], [-0.5256973590564286, 0.09972013348363047], [0.1111111111111111, 0.0], [0.5153803438124538, -0.5661022010404705], [0.5897339703961508, 0.0], [-0.03960484779411053, -0.4212950699847188], [0.08187155169821846, 0.0], [0.12787106829192002, -0.14045567332656012], [-0.5212290357500515, 0.0], [0.6402674263389795, -0.8513832805272544], [0.0, 0.6234485612039473], [0.1318876119156543, 0.12007069156198892], [0.6778350090205634, 0.27877220168582817], [0.0492226474568639, 0.5236040500137048], [-0.16477819898983612, 0.0], [0.19930715478041097, -0.21892223938862992], [0.32306998981632595, 0.0], [-0.30229929719733833, 0.4918825756695684], [0.0, 0.15465561594305535], [-0.342239970040108, -0.3115758128151582], [-0.3550893264130231, 0.0], [-0.06679838725687053, -0.7105653171689368], [0.0, 0.7102432317707541], [0.05947117986360133, -0.06532411688465503], [-1.222480878922511, 0.0], [-0.5105405467348277, -0.8598536794941934], [-0.2264169911508726, 0.0], [0.6720126966681527, -0.7381497398539136], [0.0, 1.4228180945796014], [0.19160530678417328, -0.01801231382082465], [-0.6273304399518037, 0.0], [-0.42148694949616694, -0.3837223888982325], [0.0, 0.28002530839479794], [-0.1365929822111587, -0.7200809656540946], [0.42017277322780655, 0.0], [0.23467679644963485, -0.2577728324299638], [0.2814009989787305, 0.0], [-0.898832243697367, 0.08449686868010182], [-0.1267858017632392, 0.30827985919025547], [-0.49918003794166466, -0.4544543001349271], [0.0, 0.11214464937063555], [0.24689805587306024, 0.18567522573856954], [0.13479586759209025, 0.0], [0.23240614019928885, -0.2552787064576412], [-0.44199871825270726, 0.0], [-0.28415139631911995, 0.026712329679316974], [-0.9169515501965303, 0.0], [-0.16446843043286283, 0.18065481461899968], [-1.1906934689543838, 0.0], [-0.4415598563776218, 0.8972317945970116], [-0.10966434588588073, 0.0], [-0.48363167256274536, 0.22891531979109236], [0.0, 1.1153729785455389], [-0.6123329939083747, 0.05756382343598951], [0.0, 0.44252942540620066], [-1.2976286964988049, -1.1813632282532847], [0.0, -0.10297461361744864], [0.091965196522687, -0.12228894909978674], [0.0, 0.8348655285717088], [0.20440860197383237, -0.22452575244332743], [0.0, -0.7708964351852483], [-0.3904442734555116, 0.03670464509078756], [-0.1709291167371193, 0.0], [-0.21973022536619652, 0.24135527423255349], [0.4051825645215932, -0.9852019879191247], [0.32749335124809564, -0.062122588479574414], [0.0, 0.4830602270630119], [-0.34245938347388516, 0.37616298929335357], [0.0, 0.2672125771893235], [0.04539513359322274, 0.48288901610086205], [-0.5959174354182512, 0.0], [-0.2773959886097014, 0.3046962919658688], [0.0, -1.5207264259845292], [0.3629001098398313, -0.48255943268236606], [-0.0510034687746134, 0.0], [0.5256088576075117, -0.5773373679269714], [0.0, 0.15271174236201696], [-0.1686599898691348, 0.5521658638042347], [0.0, 0.07261015367218568], [0.23288471346610978, 0.21201861337798955], [-0.5763292181064578, 0.0], [0.45586276357256317, 0.28016237993149967], [0.0, 0.38545276971589393], [-0.08216194217123625, -0.07480036277315846], [1.3254575372013604, 0.0], [-0.7622037000811922, 0.07165277659413018], [0.0, 0.3290866756835504], [-0.4360831953489188, -0.39701083432758455], [0.0, -1.5037593947850452], [-0.25433111569715844, 0.33819190343717925], [-0.710656488482547, -0.7035391640681103], [-0.06054053126488563, -0.05511619591045325], [-0.20126270720199635, 0.0], [-0.18911043573074882, 0.017777777517467497], [0.0, -1.3070197010012243], [0.38542670903938464, 0.3508930886580669], [0.0, -0.5230848950837003], [-1.0466045414948688, 0.19853161288420956], [0.0, 0.3897475341767489], [0.4197076069361305, -0.4610137016914125], [0.0, -1.4767419620317015], [-0.016693299504500835, -0.1775743418983766], [0.0, 1.0122509462338782], [-0.3135598109605339, -0.6624609308005005], [-0.19931535479654516, 0.0], [0.3160939011898871, -0.4203197780785183], [0.2595194814155509, 0.0], [0.12184647170835036, 0.11092922155392691], [0.16299708634714616, 0.0], [-0.2947583326568716, 0.027709460026068278], [0.141050849760024, 0.0], [-0.23889652038495768, -0.21749177195443611], [1.6691447349850634, 0.0], [0.5546744322895112, -0.16021737576693054], [0.0, 0.07643110247201954], [0.10411466559702129, -0.11436125196213212], [0.28570499447542225, 0.11750147053873196], [0.043318051174848826, 0.46079413046054923], [-0.4448605356165454, 0.0], [0.26257345832133033, 0.23904729389313548], [0.06708318621329666, 0.0], [-0.42896032440597026, 0.5704017308783654], [0.0, 1.013156669531126], [0.47813806254269586, -0.5251946700263458], [-0.6616781857092843, 0.0], [-0.08795281753455123, 0.008268214369670707], [0.0, 0.40963182508332063], [0.9039726295152606, 0.8229781190398808], [-0.17530420233709837, 0.0], [-0.20133327852992283, 0.9795227975684856], [0.6431961521917654, 0.0], [0.16742573760170973, 0.15242465768483052], [0.0, -0.8200444799755068], [-0.9938496297957351, 0.09342920466579611], [0.1884442803053028, 0.0], [0.9578457867129145, -1.0521134820633398], [0.0, 0.10163379280687929], [-0.15380992569496396, -0.11566997793181556], [-0.20917894490498443, 0.0], [0.4638841859661866, 0.4223209003833602], [0.2936988388601637, 0.0], [0.05334851228997648, 0.5674927810763737], [0.058198641131661254, -0.14151007954847167], [0.18851395188236816, -0.20706680875334388], [0.0, 0.5658522454257944], [-0.38375615476388353, 0.6244240975230773], [0.2378993938863678, 0.0], [-0.310699899862839, -0.28286168278359575], [1.2478120857145214, 0.0], [-0.3470670248188658, 0.032626863382959934], [-1.8094500636346258, 0.0], [-0.2080840734451671, -0.18944007127504411], [-0.450770861081443, 0.0], [0.7215317933289582, 0.5426149595636697], [1.6217691203883513, 0.0], [0.3012877171412496, -0.14260723197273517], [0.0, 0.1584122377677897], [0.06318229406835764, 0.6720992626887994], [0.0, -0.18183067414943815], [0.07549614410392975, -0.0829261997676335], [0.0, -0.9763514318323596], [-0.05757344591039947, -0.3035115117635044], [0.0, 0.2977921785625555], [-0.09967581250220643, -0.09074501816589886], [0.0, 0.06415002990995841], [-0.34370891732329545, 0.03231117647913941], [0.2476450070081393, 0.0], [0.3268392581595553, 0.297554980235162], [0.22965528327880647, -0.5584071513283294], [0.22810070288499013, 0.1715390157671879], [0.0, 0.3404830665584845], [0.6780466821696548, 0.6172947774009944], [0.0, -1.379004153051281], [0.24323482206393962, -0.022865869535143874], [0.5602378601272732, 0.0], [0.8804671914590888, 0.8015787308647656], [0.0, 0.04726856241193879], [0.9305341120107541, -0.3662052244088789], [1.3771510280267956, 0.0], [0.08109212080429963, 0.07382639569990505], [0.0, 0.3554802693305913], [0.5117315983018725, 0.15630927560547261], [0.0, -0.3009317240997413], [0.7508727308032613, -0.8247708914635627], [-0.564799367423585, 0.0], [0.49154636619595704, 0.3696585709501587], [0.0, 0.5341255069586289], [0.2979122540236306, -0.32723169353365195], [-0.35994819463698385, 0.0], [0.16424366293130557, 1.7471357503734841], [0.0, 0.25499473275296575], [-0.06932284609509883, 0.0761453482422799], [0.0, 1.2747410015168916], [-0.1503296722284817, 0.028516207515445185], [-0.16094920568589755, 0.39134822492417465], [0.5620341996357165, -0.6173475595134059], [-0.7602798197625913, 0.0], [-0.3023029392241907, 0.028418708759446423], [0.0, -1.9899130659186213], [-0.5189699971115209, 0.5700451349493229], [0.0, -0.0951347375433636], [0.3134266252649373, 0.23570683532828562], [0.0, 0.6727958203195307], [0.1263948138426212, 0.11507003946388869], [0.0, -1.7299058503801368], [0.32496231725658264, -0.030548857631387042], [0.0, 0.18652454558754542], [-0.9628564728258338, 0.4557447534854184], [-0.5610986532214721, 0.0], [-0.28398853747251174, -0.17453258061271795], [-0.9765878155566133, 0.0], [0.3251977220303783, -0.35720249797057885], [-0.08929046149641039, 0.0], [0.5064683050976143, -0.047611760889249705], [-1.2629856851686063, 0.0], [0.17988837940180805, -0.1975923388301058], [0.36120691566183666, 0.0], [0.2915146911813851, -0.3876360468922192], [0.0, -0.2050109181909218], [0.4406556048089919, 0.40117356316921876], [0.20003475461196715, -0.48638479330746665], [0.4102450771442974, -0.03856606686418707], [-0.139214242580226, 0.0], [-1.0237579950813434, 1.1245125300301049], [-0.41005912105295467, 0.0], [-0.5932097861656142, 0.11252664302215226], [0.0, 0.18471979483379034], [0.03771489646793016, 0.03433570170327488], [0.2700054787831878, 0.0], [-0.7773308021418827, 0.07307483589974073], [0.0, -0.705799664525082], [0.10280604355559982, -0.11292384010335088], [-0.25471882988999206, 0.0], [0.49643675331966275, -0.29476072208957155], [-1.3683287323435185, 0.0], [0.04888139252124846, -0.053692121223528275], [0.0, -0.13072191079006143], [-0.029476720485286094, -0.3135574989285853], [1.6829865343092418, 0.0], [0.42617095100690927, 0.38798671132020424], [0.0, 0.9617187888619817], [-0.14848490127961125, -0.5140564681364108], [-0.8214644099134033, 0.0], [0.25948806306000816, -0.2850259335762611], [0.09238586582044062, 0.0], [0.010399414233181128, 0.11062337545000328], [-0.2714603885358461, 0.6600563248386292], [-0.9801194896977065, -0.8923023416077105], [0.0, -0.36218939837702024], [0.611854110105464, 0.4601338378756327], [-0.21698727448050917, 0.0], [0.22154222452448083, -0.2433456037515262], [1.1330002391300353, 0.0], [0.055195990609753345, 0.5871452618047907], [-0.16167268718164457, 0.0], [-1.0123357342811994, 1.111966131904039], [0.9389647492101791, 0.0], [0.4157389393587172, -0.07886199504902623], [1.0300102899665966, 0.0], [0.05187539351607781, 0.9986535653306166], [0.0, 0.2425868637292257], [0.007662745620207699, 0.08151216661967738], [0.0, 0.3040319688547745], [0.14882521419321187, 0.1354907116027557], [0.0, 1.0721367644174586], [0.15180718402884727, 0.1141638522167413], [0.0, 0.16246694251059968], [-0.8798899300790102, 0.9664854938129618], [0.0, 0.1875393980664064], [-0.048784289878137245, -0.5189410378549901], [-0.8684670657235135, 0.0], [-0.35214245922078286, 0.38679903810462746], [-0.1779854596892339, -0.07319981677742868], [0.907571686321204, 0.5577719083820701], [0.0, -1.2225588442042583], [0.26237931251728314, -0.28820172927970766], [0.0, -0.17464479257571067], [-0.6207118583384575, 0.05835149856936563], [-0.06474674350231263, 0.0], [-0.9941475103408537, 1.0919878891765795], [0.0, 0.0983058140417278], [-0.10719964156200766, 0.1425466590207066], [-0.6354399042075114, 0.0], [0.6814506419619031, -0.7485165333652236], [0.0, 0.07782443043994246], [-0.21410671402402653, 0.7009511786825848], [0.0, -0.272191720063668], [0.1473852298916986, 0.13417974760538132], [4.025564049901901e-05, 0.0], [-0.5166986464012553, 0.09801315738474849], [0.0, -0.2551880789646701], [-0.19190362161936345, -0.1747093622092665], [-0.7316255335990147, 0.0], [-0.015422370731035686, -0.16405488515545194], [0.0, -0.34895388695923324], [-0.12052941464280802, -0.1097301707076093], [0.0, -0.5294022243398114], [0.2366153526999793, 0.17794230444798584], [0.8349407057821414, 0.34338482924381636], [-0.10430110585068142, -0.09495589258360859], [0.3540062892771105, 0.0], [0.03023764785368624, 0.3216518350207214], [0.0, -0.6874471948231428], [-1.234261558721396, -1.1236736852801117], [0.0, -0.5031492379116809], [-0.5180170181360757, -0.2549347019429524], [0.0, 0.41776159724879586], [0.05145366772853559, -0.05651755039250911], [0.0, -0.06331473961771746], [-0.15397673641128112, 0.014474950323116437], [0.0, -0.4440126194594328], [-0.13216432150301644, -0.27922487634272997], [0.08047010168962836, 0.0], [0.2781762561593335, -0.36989951978024704], [-0.6439608894101015, 0.0], [0.3289554504143261, 0.2994815650282126], [-0.1685154907290474, 0.0], [-0.03323448895635263, -0.3535306188666896], [-0.9732771509801165, 0.0], [-0.049605163796872374, -0.04516061998260539], [-0.25549448288260035, 0.0], [0.7011942278736358, -0.13301033531348708], [0.0, -0.8429898218259664], [0.6820603778427592, -0.7491862772317681], [0.26395311144573036, 0.10855560577473619], [-0.7071255332009985, 0.06647502216147609], [0.059452420891731673, 0.0], [0.48928288347193255, 0.44544391497125796], [0.5166742103164221, 0.0], [0.07060355768167832, 0.05309613096845018], [0.0, -1.8751746770827236], [0.2757654820769704, -0.3029053169159438], [-0.48200983765801525, 0.0], [-0.11441776546852682, -1.2171146512454545], [0.0, 0.49476798798753985], [0.12963000361315838, 0.11801536137426719], [0.3155500099992959, 0.0], [0.8082953441138043, -0.5887772385919369], [0.445077264371526, 0.0], [-0.47561620555027345, -0.43300174966419325], [0.0, 0.9983118797068559], [-0.021191436723675874, -0.22542310638308746], [-1.1095435498905193, 0.0], [-0.5520566213306458, 0.6063880242743017], [0.0, -0.09868597156052081], [0.7978063879151186, 0.5999758914585104], [-0.10920324876824532, 0.0], [-0.1393465325485007, -0.12686130476427068], [-0.25302240147846033, 0.0], [-1.4165724624636378, 0.13316827269598885], [0.5688066329312611, 0.23393226269748474], [0.06842020114769934, -0.07515386826518], [0.0, -0.15572353180953222], [0.035866493181438634, 0.1890783745009007], [0.6865816139658386, 0.0], [0.15467893537251187, 0.14081994867059425], [-0.27889495212963167, 0.0], [-0.0587148219552831, -0.624576697110037], [0.3175397851162586, 0.0], [-0.217177803127692, -0.1977190172351609], [-0.5604158381739865, 0.0], [0.3425890366257373, -0.4555511742068063], [-0.15427525337110956, 0.0], [-0.13830046806049448, 0.06546117152659903], [0.0, 0.026350492884497458], [-0.2787961034345462, 0.02620889259994617], [0.0, 0.3335897363853745], [0.38093357910470144, -0.41842367519524465], [0.0, -0.3440530917535188], [0.70413570013135, -0.20338917298421966], [0.0, -0.11682966549395521], [-0.17591648618757513, -0.16015464869593343], [0.0, 0.8155310676137826], [0.039325956464703944, 0.4183283740198386], [0.8779918114059454, 0.0], [-0.9227039798434157, -0.8400311701575993], [0.3626903902629714, 0.1491631404078651], [0.27860581835915715, 0.20952047610497135], [0.0, -1.4465508169486936], [1.3380113834107907, 1.218127690618062], [0.0, -0.029446866426627718], [0.026337649986097184, 0.28016575525827087], [1.157477752259138, 0.0], [0.333325884785867, 0.30346041542814856], [0.0, 1.5266261063058049], [-0.1682519189102735, -0.8869782494006243], [-0.08816816556112726, 0.0], [-1.1992293061599995, -1.091780266854193], [0.0, 1.307091599357935], [-0.31879311010469713, -0.09737589055246454], [0.0, 1.2861594825966103], [0.10664363567464653, -0.11713911406823937], [-0.0419214917685365, 0.0], [0.40573879809483665, -0.5395233534436906], [0.0, 0.2023414941858412], [-0.12240900350699346, 0.13445605200980734], [-0.43092248449755993, 0.0], [-0.11165237686833111, 0.010496147965560849], [0.0, -0.3327438292156099], [-0.6572829716563787, 0.7219703689291264], [0.0, -1.0475959626412323], [-0.16175182547025754, 0.26319248926214606], [0.18448021140787957, -0.44856389915340844], [0.20047466688739501, -0.2202046537869283], [-0.2225412603553582, 0.0], [0.01261618257610064, 0.13420416482773856], [0.0, 0.0827518569508488], [0.0431860095825647, -0.04743621942970571], [0.0, 0.08681414628007263], [0.27591011920009795, 0.20749322421709532], [0.0, 0.7652532659026239], [-0.1831229527031832, -0.1667154272685317], [0.0, 0.25092481648391063], [-0.041368749854805174, -0.4400585114192051], [0.0, 0.13813705614070557], [-0.5457418343870148, 0.2583136581607419], [-0.18999828079261688, 0.0], [-0.053190145354668254, -0.28040394616365755], [0.23922203282531204, 0.0], [0.22921431207022888, -0.25177275022377044], [-1.5616932521738698, 0.0], [-0.08582183102026167, -0.9129264804616797], [0.8681958913755746, 0.0], [-0.9283500982253516, 1.0197149352920458], [0.8264948076199723, 0.0], [-0.19525518648720736, -0.14683813811105226], [0.0, 0.3800311159566474], [-0.4142720759932274, -0.37715395659100237], [0.40618852576016784, -0.4102977149267527], [-0.11144263147560028, -1.1854667759580686], [0.19593331805834796, 0.0], [0.031821350545608335, -0.034953092022664674], [0.37283823715282605, 0.0], [-0.9346209618114026, -0.35564541012464734], [0.0, -0.11619907818090541], [-1.018344628132165, -0.9271025684084918], [-0.6541150297121566, 0.0], [-0.010264004635303137, -0.10918296097571525], [0.0, 0.3153810165105608], [0.23931047794165475, -0.2628625439857998], [0.7546081762092011, 0.0], [-0.27317584320096405, -0.4600834457273364], [-0.5469316702922244, 0.0], [-0.20258821919351414, 0.22252621421676028], [0.0, -0.07216945595356142], [-1.1104769139518844, 0.10439303065552895], [0.3020032049856015, 0.0], [0.4176451166814667, 0.38022477819601125], [0.0, 0.04366981454106588], [-0.11462228014134897, -0.6042574137671474], [-0.7234159297865831, 0.0], [0.3595750351821236, -0.394963101134254], [-0.22502084377293885, 0.0], [-0.44058688896945924, 0.041418421246536385], [0.7080241054523426, 0.29118802672760846], [0.26616638477164284, 0.2423182998455086], [0.0, 0.7613098219018634], [1.0547262864552338, -1.402501968521457], [0.852597369302619, 0.0], [0.17166328663649785, -0.1885577623777711], [0.4930334622157119, 0.0], [0.10252259409619836, -0.009637880962586604], [-0.491043097511843, 0.0], [0.8581598041975456, -0.9426167680494116], [-0.584423356295583, 0.0], [0.13035960452994644, 0.08011590322890111], [-0.3356668201878885, 0.0], [0.382471996725279, -0.18103384126511243], [0.0, 0.8203190773768735], [-0.8312007853570822, 0.07813901214558823], [0.0, -0.11507477374541113], [0.5621945992676275, 0.5118228569461802], [0.0, 0.5450970012775036], [0.24267173701935627, 0.1824968989411803], [0.0, -0.2308263399109465], [-1.3396159729598478, 1.4714561002301387], [0.0, 0.1498336424552204], [0.7675124920431016, -0.07215184224336658], [1.607763079359677, 0.0], [-0.06404501592515534, 0.0703480932406222], [0.17566793112615864, 0.07224669023276731], [-0.07308705122347162, -0.3852950098157263], [0.0, 0.0941064116796495], [0.4529283428894907, -0.4975039015392846], [0.0, -0.1878755766471016], [-0.015998064205149695, -0.17017880270533012], [0.22482259705067112, 0.0], [-1.1645782665465907, 1.2791918199655445], [0.0, 0.08143574607837532], [-0.2608614067625963, -0.19617611169862118], [-1.2155029602004694, 0.0], [0.12556893308442238, -0.13792697035272022], [0.0, 0.1274956419184962], [1.0188002765897066, 0.31119425446628607], [0.0, 0.9636811620600729], [0.4149085958850702, 0.3777334453124708], [-0.37534287133555994, 0.0], [0.09250154502789278, 0.3202414327949521], [0.0, -0.9940108905476437], [0.7221451646420676, 0.6574421059513293], [-0.04412751758668035, 0.0], [-0.4809397757701986, 0.04521189060722514], [0.0, 0.4322288328027574], [0.0660264996051996, 0.060110630209028106], [0.0, 1.0633840396583483], [-0.4065641692360108, -0.3057492438859949], [-0.06783950564571377, 0.16495185546920557], [0.9339242114512999, 0.8502460868512606], [-0.7258141899428578, 0.0], [-0.2660396152623976, 0.025009688506568956], [0.0, 0.17232367344235883], [-0.2670971554481259, -0.24316567494911132], [0.0, -0.2568403499900536], [-0.4765205711736164, 0.09039173232755043], [0.0, 0.9486562027635893], [-0.13801401947825334, 0.15159685684387103], [0.0, 0.060005438056248264], [-0.05577473033720422, -0.5933015837592865], [0.0, 0.038730495618344615], [-0.4753530263467087, 0.224996823436337], [-1.8417443592549982, 0.0], [-0.32932159286885276, -0.24766035876745612], [-1.9424186206184861, 0.0], [0.10294301293460086, 0.0937194826337225], [-0.5849462758850603, 0.0], [1.5140510134058538, -0.14233197635242362], [0.07212546589095975, 0.0], [0.30322128411666743, 0.27605313911883156], [0.9946575121534743, 0.0], [0.5144067167944797, 0.3161420970215965], [0.0, -0.38202007863615844], [0.12435396898455828, -0.13659243390914855], [0.27380607675057816, 0.11260782024376367], [-0.004773655792046914, -0.05077958287955919], [0.9775100249478275, 0.0], [-0.19965757080331106, -0.1817685698735051], [-0.2365010444804929, 0.0], [0.623997293835525, 0.46926589998236407], [0.0, -0.26667030616333504], [-0.47514663856484707, 0.5219088409906896], [0.07284750312439367, 0.0], [-0.15204139569843814, 0.014293014003841037], [0.0, -0.10121192840939637], [0.1883537439421184, 0.17147754792833259], [-0.4569389885081978, 0.0], [-0.5655277508535405, -0.11623982255608085], [0.2230632761626139, 0.0], [1.0118209156024425, 0.921163370150081], [0.0, 0.37134947160964726], [-0.07229142262044569, 0.006795927590147971], [0.07421281067139164, 0.0], [-0.08800241714547347, 0.09666329467361877], [0.0, 0.5843745155169616], [-0.1892911505957339, 0.2517062623199126], [0.4734529012613255, 0.0], [-1.244496980761967, -1.1329920297780478], [-0.6371064834238086, 0.0], [-0.05394137646397003, -0.5737993512965776], [0.176039205217947, -0.42803958047207974], [0.6474322286337494, -0.7111501516392255], [0.0, 0.10879835596151187], [-0.23626622187229462, 0.48008342060842746], [-1.0007760528532827, 0.0], [0.6074380020873037, 0.55301252280085], [1.4611472971919122, 0.0], [-0.3837607781627249, 0.036076347176422996], [-0.058678297635814405, 0.0], [-0.0683154194848077, -0.06219446650633169], [0.711722500667493, 0.0], [0.06678209289609179, -0.08880220200402379], [0.7191224985980066, 0.0], [0.6450854876397962, -0.30533556645113713], [0.0, -0.12076952014969465], [0.12405583780064129, 1.319639281027765], [0.0, -1.7689507804348805], [-0.24382708552073812, 0.26782365964038823], [0.0, 0.596804613945784], [-0.14267649612973807, -0.7521515926083313], [0.0, 0.16956710367659603], [0.16045286307985585, 0.14607654163470896], [0.0, 0.718540722886784], [-0.3276421099176137, 0.03080077793148398], [1.4266970945381707, 0.0], [-0.8378055011465892, -0.7627394601810175], [0.08170088252035548, 0.03360100112383505], [0.35445301915479105, -0.4713270765097857], [0.0, 0.23678501090603055], [0.11955007777397984, 0.10883858086528542], [0.0, 0.47479136266109623], [1.497158461041982, -0.14074395168066695], [-0.32669494621813655, 0.0], [-0.6943245068289248, -0.6321141348491623], [0.0, 0.3677564150675016], [-0.36051142079343784, -0.22156171925610382], [0.48842191860581563, 0.0], [-0.7616488129201241, -0.6934062901462881], [0.0, 0.13735127910034325], [0.6339371930033411, -0.7733845326401639], [0.0, -0.37331964938989803], [0.16331026869853954, -0.17938267082299988], [-0.1133504592258005, 0.0], [0.04920798213951846, -0.06543336665059266], [0.0, 0.7204246435853473], [0.2046753140847727, -0.22481871338927772], [-1.1544687012043515, 0.0], [-0.01883712835696506, -0.2003792402060147], [0.0, 0.44671299113378937], [0.7217659702877961, -0.7927995495395121], [0.0, -1.0446864813246366], [-0.035399479625665815, -0.18661640634726176], [0.9232039873531317, 0.37968473851984297], [0.10937327614594862, -0.12013739581764109], [1.1748062474256629, 0.0], [1.3012823799396853, -0.12233015353476248], [0.0, -0.2602526779882105], [0.12625213508664276, -0.13867741060884484], [0.0, -0.4124849339571203], [-0.31327889297040257, 0.41657657510734747], [0.0, 0.11713929495415316], [0.6421944674843869, 0.5846548641539333], [0.0, 0.9363288382196372], [0.5207887506696278, -0.04895798852785941], [0.0, -0.6351553016098381], [0.08233432376784605, 0.17394854459502826], [0.2928481443251935, 0.0], [-0.29561680184506534, -1.0234288319463085], [-0.09145934811816439, 0.0], [-0.8230306055221065, 0.9040302815259932], [-0.5205526872873102, 0.0], [-0.38803669023552734, 0.03647831448838438], [-0.5591396366842427, 0.0], [-0.11757144456995554, 0.1291423981330178], [0.10497998866710924, 0.0], [0.4982724456403583, 0.37471679757231097], [0.0, 0.15009767351629705], [0.047877463758715884, 0.04358771912118262], [0.21680175927536086, -0.5271537892422469], [1.4702596245774668, -0.13821526240819473], [0.5636967619920894, 0.0], [0.06617979497728704, -0.07269296947553468], [-0.6948257646904448, 0.0], [0.17523245301880952, -0.03324004449454349], [0.0, -0.8959827819744242], [0.46988078996514104, 0.4277802181973662], [-0.17193039445565653, 0.0], [-1.0078075482736626, 0.09474135208034093], [0.0, -0.644323272880573], [0.05239166066569919, -0.05754785717984355], [1.4851152472808, 0.0], [0.6302054331706126, -0.3741862529395111], [-0.037037037037037035, 0.0], [-0.18324035464151123, 0.2012742032702437], [0.0, 0.029063442105585275], [-0.018654866438064646, -0.19844043593947946], [-0.044879225245356535, 0.0], [-2.9767334460718278e-05, -2.7100228616932244e-05], [0.0, 0.14297791145961597], [0.4480594563104806, 0.27536665343533057], [1.869373611826492, 0.0], [-0.17179344793748458, 0.18870073368015683], [0.6627153593789304, 0.0], [0.024289655299385992, 0.25838028926300377], [0.32239651913682305, 0.13259153962183867], [0.541005973043059, 0.4925326979458074], [0.0, 1.489609603506402], [-0.0990380969297094, 0.1316940022129919], [-0.3188586076848648, 0.0], [-0.2349168960208894, 0.25803656172695366], [-0.19657799013205027, 0.0], [0.015255667977530087, 0.16228159092213257], [-1.04281427759312, 0.0], [-0.35639530590181423, 0.3914704344737828], [-0.584561796775541, 0.0], [-0.05517565199965096, -0.29087099592776294], [0.796168418977769, 0.0], [-0.3862353616798225, -0.8160032895245227], [0.0, -0.8136978078492996], [0.013201615931370179, 0.14043168999490627], [0.0, -0.23233527638660248], [-0.2617725984105589, -0.23831818975716784], [0.0, 0.3234534793547011], [0.19417761064667974, -0.25820393847396556], [0.0, 0.4903094684179942], [-0.462791696041451, 0.5083379700015387], [0.0, -0.45978410173635503], [0.1562231476281871, 1.6618178222878401], [-0.027290517232739488, 0.0], [-0.3387217097234875, 0.37205746729920997], [0.25676503282073376, -0.6243245462987465], [0.21142868489111358, 0.5372441200595383], [0.0, -1.3708906603410635], [0.2812384712421364, -0.3089169377506697], [0.0, 0.7950985167460403], [-0.07609559890337902, 0.007153548254147208], [-0.4397662744281198, 0.0], [-0.04262368943064001, 0.04681855777552004], [0.0, -0.20369246759194393], [0.12360383323228731, 0.09295403139730274], [-0.20523662918961758, 0.0], [-0.2989107451028334, 0.3283284524699254], [0.0, 0.4622385925629569], [-0.09024520234765503, 0.2954483760324235], [0.0, -0.3476982143989581], [-0.0595042185738307, -0.054172735188994375], [0.17374301191668384, 0.0], [-0.45471707767038366, 0.08625580269979964], [0.0, 0.038851644754188897], [0.47618169620625556, 0.43351657325641235], [0.1460826486247776, 0.0], [-0.041636600872841545, -0.44290776648958796], [0.0, -0.3260870668201372], [0.1246100400381374, 0.11344517855486609], [0.0, 0.30795374942663784], [-0.2134224754463265, 0.2837944268424182], [0.3192771154192726, 0.13130862706831767], [0.7196970689587251, 0.6552133557492494], [-0.30837750522360974, 0.0], [0.006278632573623276, 0.066788716453704], [0.0, 1.3190600567382682], [0.1889273063490311, 0.1719997200554313], [0.0, 0.045299941820814676], [-0.6080463084184794, -0.3736907562707031], [0.0, -0.20781618706798244], [-0.5675035003799626, 0.6233551289262522], [0.0, -0.5419032176369676], [-1.0087092957889499, 0.09482612300607943], [0.0, 0.20624490269129744], [-0.12210211426960557, -0.25796635105744753], [-0.14722127759686143, 0.0], [0.5676404664572747, 0.42688376534641453], [-1.8780887055586601, 0.0], [-0.0439625373052181, -0.04002356385399631], [-0.6525899542723285, 0.0], [-0.06192958988025537, -0.6587736692831563], [-0.7359720603728305, 0.0], [-0.38205860930448327, -0.3478267653048319], [0.7092149343823203, 0.0], [-0.016463840085309506, -0.08679287672830212], [0.0, 0.11468606311126177], [-1.262373714979452, 1.386611940414936], [-0.22594500300685447, -0.0929240672286094], [-0.4078336966421603, 0.038339379289219024], [0.7614298453403184, 0.0], [0.3564257796686234, 0.32449059645345685], [0.26641325720310605, 0.0], [-0.7347584845790915, 0.9770309456052002], [0.0, -0.43894775859937224], [0.3330794249101232, -0.36585988935490044], [0.18897662232758836, 0.0], [-0.016407549152287967, -0.1745346833379016], [0.0, 0.2843566777089151], [-0.23333581506325649, -0.21242929698919], [1.1488768442720696, 0.0], [-0.9940667972365193, -0.10877133184772969], [0.07081715761208061, 0.0], [-0.3291157121132281, -0.2996274675336759], [0.0, -0.8046192281279058], [0.06019976897847342, 0.640372764887164], [0.05492606632994537, 0.0], [0.672066816865439, -0.7382091863639957], [0.0, -0.16448735080251592], [-0.1360854048266205, 0.1809569464679075], [0.18496087687321464, 0.0], [0.8204602768431571, 0.7469483403998599], [-0.3884388479711361, 0.0], [0.8164447955462986, -0.07675184013209012], [-0.38025223796434, -0.3764439584639493], [-0.066435718260137, 0.07297407979620997], [0.0, 0.09879481841079386], [-0.18603817174331214, -0.9807425256324969], [0.9987616083896804, 0.0], [0.08075115909186928, 0.07351598361484998], [0.25507711319466086, 0.0], [0.017637391176916862, 0.18761708134457256], [-0.48525333379491026, 0.0], [0.18709930726470522, 0.17033550678292123], [-0.10768999660544197, 0.0], [1.137144418648542, 0.8551689314980973], [-0.43324740746281587, 0.0], [-0.2631243561065659, -0.5559054437769687], [0.0, -1.5156269286341013], [-0.10118765898074926, 0.00951238720339238], [0.0, -0.3239504584793534], [-0.10483359004503442, 0.1151509303371191], [0.0, 0.7873963221765115], [0.10076643239911277, -0.1639608585565228], [0.0, -0.6993493683993907], [-0.5076979097624575, -0.46220898418222833], [0.0, -0.5638332381989193], [-0.019578046472340353, -0.2082607286261368], [-0.3354954611638556, 0.0], [0.20623095835852046, 0.18775299235409199], [0.6674659431885746, -1.6229444000733964], [-0.37704995745666736, 0.5013749200668587], [0.0, -0.05155187198101845], [-0.2348071691560994, -0.21376882009446233], [0.0, -0.6720537024717953], [0.027488662966000412, 0.2924096122841211], [-1.3633056558809031, 0.0], [0.4144036831910638, 0.37727377199314077], [0.0, -0.7291851253147388], [-0.5600085633733571, 0.1062286650855573], [-0.5006556072980479, 0.0], [0.11407999001336931, 0.1038586042717194], [0.0, -1.4182428629621233], [0.1463359899310813, 0.04469857373873517], [0.0, 0.20854290999051586], [0.017739237843107467, -0.01948506905303687], [-1.3231769920773713, 0.0], [0.22380177602082515, 0.16830608542630332], [0.0, -0.8726850989545416], [0.2245736996912548, -0.24667542566831774], [0.11836310880434103, 0.0], [-0.5633683685546854, 0.05296078705462656], [0.0, 0.17875625219216673], [-0.2316176646875098, 0.2544126320563888], [0.0, -0.7901629620767132], [-0.6576006653842251, -0.32362880708134695], [0.2808143913458063, 0.11549011942249998], [-0.07865011225453143, 0.08639056998179301], [-0.25766154531630714, 0.0], [0.02226612908562351, 0.2368551057229789], [0.0, 0.1527398055300929], [0.5490181773926294, -0.6030505477451714], [0.0, -0.08037538042872334], [0.25254015456697093, -0.33581040736289897], [0.0, 0.5416269237319515], [-0.6492376119199882, -0.5910669540452452], [0.0, 0.24985892156603193], [0.11678863288063521, 1.2423346636414425], [0.0, -0.23674774392358472], [-0.16777700870361734, -0.3544641547405172], [-1.8097855397040303, 0.0], [-0.06496728763984454, -0.3424898297286377], [0.6282247149325407, 0.0], [-0.9738227328981393, 1.069662821129038], [-0.1066480232719413, 0.0], [-0.16935498671393184, -1.80150726372737], [-0.817481075971641, 0.0], [-0.01982372662120044, 0.02177470562821834], [-0.40087384676798204, 0.0], [0.1691329288936555, -0.22490125519898987], [0.0, 0.15588773585814725], [-0.8559055813104702, -0.7792178019375919], [-0.30186307670351553, -0.12414678111992321], [-0.042189776177703045, -0.4487921478660037], [-0.3461565085964423, 0.0], [1.0277296791358372, -1.128875092770574], [0.40749362630750363, 0.0], [-0.4727015135582607, 0.7691504418555025], [0.0, -0.49100775719725803], [0.06519660948159589, 0.05935509692114594], [0.2794486963296908, 0.0], [0.15178903986150233, 1.6146501686814794], [0.0, -0.1470619850046534], [0.8799383322874929, -0.9665386595905981], [0.08721514243472818, 0.0], [0.1701801822449426, 0.28661789316473113], [-1.7936852407609083, 0.0], [0.865846762941278, -0.9510602492888084], [0.0, -0.7900049619584297], [-0.1577168680901525, 0.014826550321371828], [0.11948419451995887, 0.0], [0.03099916064176607, 0.028221685130506557], [0.0, 0.4026198836595417], [-0.6632354720508653, 0.12580989549329596], [0.0754723303836242, 0.0], [0.13621695452247468, -0.14962293129724755], [0.1725105912900345, 0.0], [0.18103250641284452, -0.017018392507007284], [-0.4704671056024842, -0.1934883107307678], [0.3186488542641657, 0.29009842350775417], [0.0, 0.9716727286259561], [0.08962822626373437, 0.06740328952862482], [-1.767508451911742, 0.0], [-0.22400423222271754, 0.24604991328463788], [0.8931122578219493, 0.0], [0.9720656191326547, -0.09138134679105793], [-0.555248601634186, 0.0], [-0.705245022407343, 0.7746526701121454], [-0.6118910747491885, 0.0], [0.29679064025722507, -0.08572779772437857], [0.9185444354129979, 0.0], [-0.43838995360544153, 0.2075012496411141], [0.0, -0.4742726981932005], [-0.2964849837768, 0.027871777982461106], [0.0, 0.040896126660470204], [0.16455979947627872, 0.1498155030591903], [0.0, -1.2841080655362045], [0.08101755136389834, -0.10773152876898398], [0.0, 0.053339004500748036], [0.055708820280684045, -0.06119147956822248], [0.0, 1.0135552694018413], [-0.06386843559472444, 0.00600410460694155], [0.5650067371362354, 0.0], [0.058443566720323296, -0.06419536979677713], [-0.38108369682589766, -0.15672772839549115], [-0.06433868532389678, -0.33917600968200956], [0.0, 0.7396210771038441], [0.515170997125745, -0.5658722512149695], [0.0, 0.6641397889532342], [0.023178267095910157, 0.24655793929722078], [0.20911014665060124, 0.0], [0.16892340571606254, -0.1855482323515122], [0.0, -1.4559219766443299], [-0.2656583951607522, 0.3532541351741686], [-0.23803232221436443, 0.0], [0.09299431720566839, -0.1021464793650372], [0.0, -0.12527766133204518], [0.577450479393139, 0.1763832181391488], [0.0, 0.09989405932378537], [0.14049564983205565, 0.12790746296607752], [-1.293726433947498, 0.0], [-0.14943700124421186, 0.24315457479993977], [0.0, 0.6541379930536363], [-0.1768945214437098, -0.16104505354799187], [0.03589432039360192, 0.0], [-0.33898847495640916, 0.03186742003672915], [0.0, -0.8208395480810816], [1.1548057560688743, 1.051336996226992], [0.0, -0.09334176946493265], [-0.5511234924579604, 0.7328458510960953]], "angles": [null, null, -0.20689530374128678, 0.059715316795712875, -0.16060112152394268, null, -0.23781190939170152, -0.20119055449920506, -0.20765124635035714, 0.07453718621978399, 0.022789543916614568, -0.21101479766939935, 0.062517000836915, 0.015138095950579852, 0.023646441631032855, 0.08317087584866266, -0.19520406494204548, 0.02761036238707902, -0.07963161496732318, -0.4739096068650152, -0.45906913373069896, -0.27516687603902046, -0.20236232945598892, 0.05045326225030622, 0.012319401236551163, 0.05778027255336922, -0.354664580433426, 0.12597132008832082, -0.3007784809411364, -0.21631273675726617, -0.3514926498934385, 0.09415542659839071, 0.06853503594418783, -0.43702341951482915, -0.29815288931342754, -0.3625104766296164, 0.0057794025107825156, -0.1346991173876767, -0.3645737042498096, -0.3866479020181571, -0.36779768773150645, 0.084461367533136, -0.09285739888961804, 0.006083675290705798, -0.2856994848122606, -0.24466068818338824, -0.4327604669716552, 0.04565256322835446, -0.14277239200458125, -0.42996187471022546, -0.09949320671631508, -0.41883125821228984, 0.023785996512765632, -0.3789147032631913, -0.12911818341313958, -0.295565215767994, 0.02034721809638021, 0.1099889517891475, -0.26599125030430953, 0.0546043515989737, -0.33367408233312174, -0.3587787439781173, -0.22844783807138147, -0.27032508198553845, -0.36991645742334395, -0.09083849306508095, -0.15414853537625642, -0.16389500309801444, 0.014945868490416148, -0.3214903678037582, -0.39532758023684933, 0.007826081592549015, -0.2499967965579134, -0.4720882752881776, -0.2216798614615043, -0.4595258066622673, -0.4643697205582828, -0.3308885647243434, -0.4307527680783139, -0.306527082358858, 0.08317825867788291, -0.3435972129069316, -0.4875953597204615, -0.19422918016585186, -0.2952017065466696, 0.0020969662684440123, -0.4906976951301547, -0.3713178594767225, -0.15177252581666587, 0.13821429541272462, 0.11335965706574123, -0.41225733571494094, 0.006910621550610203, 0.0200207223596044, -0.3926059921612227, -0.18219723459159254, -0.23438307320310342, -0.29408502444525236, -0.4942556900938877, -0.2894796047900219, 0.06726349212582855, -0.10138228540123179, -0.4850272606600658, -0.3539641592001648, 0.010152665125239546, -0.4172164477062332, -0.309107884397841, 0.07865447719221492, -0.43626089868458084, -0.4617167607511623, -0.1671571424245975, -0.16872559733655823, -0.478715664266634, -0.2442016973192781, 0.047191526169910375, -0.33340465262190155, -0.11962637050823194, -0.1920937842992661, -0.3272582454843627, 0.05848720330326984, -0.12358883445889966, -0.2107355314396399, -0.4701168911124067, -0.3479340438036579, -0.15007516186078335, -0.44856529289155067, -0.2950959216904342, -0.30646988013029997, -0.11680626660110548, -0.25357167505736483, -0.19624666153409367, 0.13372871004951895, -0.2972071098145602, -0.4814695077623743, 0.039419383945748086, -0.379803778019509, -0.2852838032666133, -0.23836475076035288, 0.11462233313477745, -0.4441435619851153, -0.3029001368192874, -0.18783896210818712, -0.2287363036838239, -0.2349392507647472, 0.022705324989005977, -0.4868957111610487, -0.2890045010689505, -0.28475223301090313, -0.3631338470351719, 0.0644022400231424, -0.36936926736082687, -0.2902691965508156, -0.37454589592199616, -0.36505870371477867, 0.019935228473265898, -0.4300245689796757, -0.28211808410831, -0.46052329629529903, -0.4270724951649459, -0.24048608479552983, -0.2362549634736281, -0.42249612125091274, -0.3890412371525686, 0.0845817415868903, 0.06028870328470732, -0.3702340895257508, -0.36195977012680336, -0.43269109145446716]}