{'Lhash': '1612777876502012637574758077734,2248566532156546698856899554909', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4567.78362635023, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [23, [1]]], 'bad_primes': [2, 23], 'central_character': '8464.1', 'coefficient_field': '1.1.1.1', 'conductor': 71639296, 'conductor_radical': 46, 'degree': 4, 'euler_factors': [[1], [1, -4, 10, -12, 9], [1, 0, 7, 0, 25], [1, 0, 2, 0, 49], [1, 0, 10, 0, 121], [1, 10, 51, 130, 169], [1, 0, -14, 0, 289], [1, 0, 26, 0, 361], [1], [1, 6, 67, 174, 841], [1, -16, 126, -496, 961], [1, 0, 74, 0, 1369], [1, 18, 163, 738, 1681], [1, 0, 38, 0, 1849], [1, -12, 130, -564, 2209], [1, 0, 103, 0, 2809], [1, -12, 154, -708, 3481], [1, 0, 95, 0, 3721], [1, 0, 86, 0, 4489], [1, 12, 178, 852, 5041], [1, 22, 267, 1606, 5329], [1, 0, 110, 0, 6241], [1, 0, 166, 0, 6889], [1, 0, 175, 0, 7921], [1, 0, 47, 0, 9409], [1, -6, 211, -606, 10201], [1, 0, 206, 0, 10609], [1, 0, 202, 0, 11449], [1, 0, -25, 0, 11881], [1, 0, 199, 0, 12769]], 'euler_factors_factorization': [[1], [[[1, -2, 3], 2]], [[[1, 0, 7, 0, 25], 1]], [[[1, 0, 2, 0, 49], 1]], [[[1, 0, 10, 0, 121], 1]], [[[1, 5, 13], 2]], [[[1, 0, -14, 0, 289], 1]], [[[1, 0, 26, 0, 361], 1]], [1], [[[1, 3, 29], 2]], [[[1, -8, 31], 2]], [[[1, 0, 37], 2]], [[[1, 9, 41], 2]], [[[1, 0, 38, 0, 1849], 1]], [[[1, -6, 47], 2]], [[[1, 0, 103, 0, 2809], 1]], [[[1, -6, 59], 2]], [[[1, 0, 95, 0, 3721], 1]], [[[1, 0, 86, 0, 4489], 1]], [[[1, 6, 71], 2]], [[[1, 11, 73], 2]], [[[1, 0, 110, 0, 6241], 1]], [[[1, 0, 83], 2]], [[[1, 0, 175, 0, 7921], 1]], [[[1, 0, 47, 0, 9409], 1]], [[[1, -3, 101], 2]], [[[1, 0, 103], 2]], [[[1, 0, 202, 0, 11449], 1]], [[[1, 0, -25, 0, 11881], 1]], [[[1, 0, 199, 0, 12769], 1]]], 'gamma_factors': [[], [0, 0]], 'group': 'GL2', 'id': 22270824, 'index': 14, 'label': '4-92e4-1.1-c1e2-0-14', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 2, 'origin': 'ModularForm/GL2/Q/holomorphic/8464/2/a/bh', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0234375', 'prec': 30}, 'plot_values': [2.8964784608238526e-120, 0.018172027409248247, 0.07259363163595543, 0.16298078914137681, 0.28885585801299346, 0.4495448165906299, 0.6441669183910823, 0.8716327330145127, 1.1306271138009976, 1.4196110672998414, 1.736799002031034, 2.0801670859002543, 2.4474271612409293, 2.8360435145705574, 3.2432071267233296, 3.6658617544826533, 4.100683176910615, 4.544114267619766, 4.9923544677606735, 5.4414022115656175, 5.8870599119505105, 6.324980791821873, 6.750694168581508, 7.159652538848233, 7.547280905356687, 7.909018959228627, 8.240396671349703, 8.537065705474058, 8.794901608517769, 9.010018253312808, 9.178894860813632, 9.298367384085129, 9.365776462102188, 9.378930267091492, 9.336267522638785, 9.236787466167439, 9.080220462477735, 8.866922365265289, 8.598044203537277, 8.275390298734935, 7.901578143665632, 7.479862033957162, 7.0142746931481295, 6.509420749625303, 5.9705929162403075, 5.403542185839149, 4.814563400574664, 4.210251321317893, 3.597553090375678, 2.983521113265638, 2.375333020628604, 1.7800533592086354, 1.2046249209927549, 0.6556513871368378, 0.13936699769828853, -0.33854859395956355, -0.7730127206697378, -1.1596833324508993, -1.4950020584237496, -1.7762899700299883, -2.0017791370951348, -2.170657938464722, -2.283079401568836, -2.340157775518412, -2.343943664771109, -2.2973780371190533, -2.2042270547357354, -2.0690038725525994, -1.8968599019779457, -1.6934882151048056, -1.4649723889641988, -1.2176876503224074, -0.9581129861009318, -0.6927470066467256, -0.427893164143909, -0.16960647277716298, 0.0765350502461101, 0.30543923098626297, 0.5127270063003097, 0.6946873950831888, 0.8484880786840736, 0.9720724248597877, 1.0643394186901727, 1.124984761988852, 1.1546393100977437, 1.1546624569032529, 1.1272327427862294, 1.0751073213225466, 1.0016638156075754, 0.9106439712028102, 0.8061515112232284, 0.6924005372687216, 0.5736793480985729, 0.45412436404761636, 0.33766391985371774, 0.22783631220852213, 0.12772985074476328, 0.03985920125082717, -0.03388192622503571, -0.09227821621032047, -0.13481326336252386, -0.16166025871772488, -0.17366590825807773, -0.1722814829512571, -0.1595063468641413, -0.1377734399950127, -0.10985551529813271, -0.0787244494146437, -0.047430115257608756, -0.01895584826067718, 0.0039143770601428535, 0.018721948388859284, 0.023458758227502496, 0.016655253652365587, -0.002522422288870602, -0.034236072336242686, -0.07792441537701336, -0.13232444614607544, -0.19547930790213955, -0.2648146684233563, -0.33721036476393224, -0.40912058361246395, -0.4767045702241092, -0.5359723910559443, -0.582960044216321, -0.6138782209218612, -0.6253082800947078, -0.6143305472630742, -0.5787112551731086, -0.5169898951251138, -0.4286245725351131, -0.3140245692277011, -0.17462336964362404, -0.012852139122603091, 0.1678839024242991, 0.3632842067904944, 0.5682869866067779, 0.7771821008154426, 0.98385599716611, 1.181911333518455, 1.3650085681791115, 1.5269589653807392, 1.6621349199491227, 1.7655017940738669, 1.8330583585478881, 1.8617770936207234, 1.850030277619888, 1.7974178398861709, 1.7051349043501813, 1.5756800579409593, 1.4131270154844808, 1.2227225502414554, 1.0110378752545781, 0.7854821926246951, 0.5543268989005029, 0.3261751973740648, 0.10987201303673128, -0.0860200677489676, -0.25339310905197565, -0.38505809267658536, -0.47495183014514314, -0.5184924958003229, -0.5127642735588427, -0.4567274768149228, -0.35132310124903005, -0.199519666786055, -0.006287981164391351, 0.22151010172831231, 0.47530971045107034, 0.7450829525573823, 1.0196994186345523, 1.2872440079227363, 1.5355327872552533, 1.7524421890182402, 1.9265367801419342, 2.047336794334378, 2.1059927496783035, 2.0954223735822572, 2.0109539437707613, 1.8502786397565059, 1.6139827892248477, 1.3052860452476114, 0.9303936526881259, 0.498021519122697, 0.01952253061258093, -0.4917677740087313, -1.02064451263496, -1.5508038488398417, -2.0651722340184375, -2.54670783338518, -2.978885045807267, -3.346432225323472, -3.6358801328196257, -3.8361459378544844, -3.939035190112199, -3.9396016144163277, -3.836488692365796, -3.632027122716932, -3.332315966227819, -2.947060662444096, -2.4893240947526722, -1.9751518549066753, -1.4229670268287622, -0.8530691967180555, -0.2866973956318386, 0.25448148832096557, 0.7495667444736408, 1.1788173122759111, 1.5249856526426526, 1.7734707242969685, 1.9136476380761311, 1.9386839026969354, 1.8467145492060446, 1.6402686604378867, 1.327156435134482, 0.9195077189738459, 0.4342761964321766, -0.10805008116191878, -0.6833661929856945, -1.2654549808340998, -1.8262994890933932, -2.3376512511072502, -2.7716455149543227, -3.1022642742689985, -3.3061071739002914, -3.3635883723263973, -3.259680810696044, -2.9847197381737884, -2.5349292511095536, -1.9127610543066713, -1.127032717674034, -0.1928004862333952, 0.8690130543021335, 2.0321388366849913, 3.2658967059496047, 4.535967512287062, 5.8058624627880455, 7.037758205500758, 8.194389977841908, 9.239738680209944, 10.141169875230986, 10.869771974100255, 11.402519892855802, 11.7221054627265, 11.818893708975542, 11.690155321890538, 11.341608145101148, 10.786047350055801, 10.044322337454693, 9.143450306623558, 8.116961564025537, 7.002662387194561, 5.842377571755395, 4.6795857658489926, 3.558682340370645, 2.522734788170058, 1.6124668167442955, 0.8643679553400765, 0.30964847024807807, -0.027113084135379835, -0.12878330746288097, 0.0136148247468254, 0.40055214610489503, 1.0239280757370497, 1.8673513165084865, 2.9066240956520577, 4.110728591025511, 5.442676144231344, 6.861170512997319, 8.321577337597951, 9.7781350819643, 11.184777743444734, 12.497683861697974, 13.675705346024962, 14.682996982429504, 15.488863743727014, 16.07020534840673, 16.410684427395683, 16.50275387055184, 16.34615453284581, 15.949361574090144, 15.327525940447053, 14.503268074029238, 13.504265124476587, 12.363420826596418, 11.116356048228964, 9.801075623340397, 8.455634464271007, 7.117490641656756, 5.821590742734794, 4.599632674623617, 3.478747314899259, 2.4808896229767083, 1.6222003507891483, 0.9127021804753999, 0.3563211905317214, -0.04900557573787452, -0.3107665520694635, -0.4413356381542304, -0.4570587363404446, -0.37734500134352983, -0.22363541567624587, -0.018257775767729304, 0.21649143892025122, 0.45955503814305565, 0.691728326803557, 0.8967504156617603, 1.0614910851941255, 1.1767740184698832, 1.2371031271419908, 1.2411225395320795, 1.1909361404954992, 1.0921818067862792, 0.9530706280092928, 0.7841274355070198, 0.5971209571844864, 0.40458456469425363, 0.2188183381695622, 0.051341350221413035, -0.0878790518873427, -0.19088597756558762, -0.2521758364142172, -0.2689362469072825, -0.24113218492240912, -0.1714427212298168, -0.06503587033143508, 0.07080979237577045, 0.22713446355136882, 0.39393709314584907, 0.560664562772752, 0.7170050941938994, 0.8532870290024381, 0.9612867902453671, 1.0344127351582981, 1.0683881301411227, 1.0611467272952513, 1.0132804015029817, 0.9276384381128294, 0.8094821102108498, 0.665845078546318, 0.505401943868103, 0.33769872937126816, 0.17280546862746934, 0.020552601295915532, -0.10991455021788732, -0.21076102898043017, -0.2758657596063365, -0.3012086878076064, -0.28510031552286674, -0.2282857348877244, -0.13390515212840992, -0.007334636440484365, 0.14415948080304253, 0.31176266712379314, 0.4857345670928892, 0.6558103078808161, 0.8120097192560223, 0.9449584690738781, 1.0467527915057666, 1.1110762430358205, 1.1339757129979469, 1.1136928922082647, 1.0512261750379228, 0.9498581457525078, 0.8154248589838956, 0.6555882652054497, 0.47979935708325083, 0.2984225268049208, 0.12244808232855847, -0.03738907644090142, -0.1710343184325832, -0.2698535653957464, -0.3270489109620892, -0.3381395450897664, -0.3012205247846034, -0.2171215895855872, -0.08939383543389236, 0.07584534694456686, 0.2702537028151592, 0.48365393106812776, 0.7046857691988386, 0.9212965501505048, 1.1216150366080957, 1.2943825626054624, 1.429906517209835, 1.520281216689279, 1.5602566459066143, 1.5471418528264933, 1.4814392363114313, 1.3663923742775055, 1.2082856984572503, 1.0156783407841743, 0.799343371034555, 0.5713016561616916, 0.34445786690629604, 0.13159669625109635, -0.05515410551311245, -0.2051904493356397, -0.3099656233422428, -0.36357305884175123, -0.3630933088378889, -0.308809115644498, -0.2042167975743785, -0.05587520293438026, 0.12699709415894808, 0.33294866250262717, 0.5490996877739319, 0.7616827389273106, 0.9571446436537995, 1.1226021591117548, 1.2470659318718957, 1.3216199806881617, 1.3405596226120082, 1.3011571312614778, 1.2045204755244225, 1.0548966610487729, 0.8601197047514622, 0.6305093910293741, 0.37887292673031203, 0.11915657894479996, -0.13392509111670747, -0.3662574107785155, -0.5648975253215185, -0.7192130875356243, -0.8214232324611505, -0.867292270384114, -0.8564007680820743, -0.7922640917754916, -0.6821479969677072, -0.536602435053972, -0.36874200252769945, -0.19331585342735844, -0.025511378391340114, 0.12020780760163231, 0.2315763324018344, 0.2996237773364795, 0.3201192751791983, 0.2943040819616705, 0.22994890590659153, 0.14148992521690193, 0.050370415327851074, -0.01552861127948246, -0.022481000925186297, 0.06785707694966987, 0.2968776467171578, 0.7073374162328029, 1.3409798356509262, 2.236715081543163, 3.42780741324928, 4.9402881399969, 6.790238298523359, 8.982769188276931, 11.510001034858755, 14.350826284789104, 17.47014822796163, 20.819457574842627, 24.337749622982, 27.95272987881622, 31.58359474362805, 35.14248168610751, 38.53901590655281, 41.68147981953556, 44.48274780051734, 46.86060427042732, 48.74446339921825, 50.07433320227162, 50.807591151109555, 50.91626926897856, 50.3931560997899, 49.24733779285216, 47.50902399217674, 45.223576728476104, 42.454689647746406, 39.27741447930974, 35.779615746668505, 32.05470881690306, 28.201609430005103, 24.3179851474765, 20.499163070717085, 16.83264649633173, 13.396587991472849, 10.256140236346546, 7.462118449939294, 5.049469963104926, 3.036639149469197, 1.4261059941119223, 0.20475383398288305, -0.6538946054427656, -1.1882744364109445, -1.4454655506603002, -1.4789878104531793, -1.345161077403029, -1.100536461327406, -0.7986676631399185, -0.48771733959061153, -0.20822965822292655, 0.00857378328299301, 0.14168058309988008, 0.18093343538973478, 0.1265366050261963, -0.011497019744942941, -0.21496653408223998, -0.4590889591719104, -0.7148094796634687, -0.9511113064861776, -1.13735643106492, -1.2457281941745477, -1.2533370918215943, -1.1438394553172118, -0.9085224212602147, -0.5496419811080351, -0.07889483434500283], 'positive_zeros': ['1.27225741557779887381246428273250', '1.77380623000668477939532424908847', '2.28551586973661676352614618644915', '2.57353632607832683726140659422314', '2.66949487106070280373090640400267', '3.11893261045253479996271717993376', '3.66902944168378441381027200883169', '3.89131910924881802239585761496411', '4.31341891853917617677343012236861', '4.79347122975735307494928663586220', '5.08141442666137673795662028681190', '5.41851873655352204898423681447631', '6.06760826370947008502471329900999', '6.11595479675485016706460193795849', '6.93414360914174670556141217729537', '7.08002787072192152029316228851348', '7.46115700578524921125320039172768', '7.62895164715173360183761853025609'], 'prelabel': '4-92e4-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.221032798305316, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e2-0', 'trace_hash': 1881947739027262362, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.27225741557779887381246428273', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.77380623000668477939532424909', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.28551586973661676352614618645', 'prec': 103}}
