{'Lhash': '2356605396175802902086592387862', 'a10': -2, 'a2': 1, 'a3': 1, 'a4': 1, 'a5': -2, 'a6': 1, 'a7': 0, 'a8': 1, 'a9': 1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25.82362001368209, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [1, -1]], [3, [1, -1]], [7, [1]], [11, [1, -1]]], 'bad_primes': [2, 3, 7, 11], 'central_character': '3234.1', 'coefficient_field': '1.1.1.1', 'conductor': 3234, 'conductor_radical': 462, 'degree': 2, 'euler_factors': [[1, -1], [1, -1], [1, 2, 5], [1], [1, -1], [1, 4, 13], [1, 6, 17], [1, 2, 19], [1, 0, 23], [1, 6, 29], [1, 2, 31], [1, -2, 37], [1, -2, 41], [1, 12, 43], [1, -6, 47], [1, -10, 53], [1, 8, 59], [1, 4, 61], [1, 0, 67], [1, 8, 71], [1, 6, 73], [1, -12, 79], [1, 6, 83], [1, -12, 89], [1, 0, 97], [1, 12, 101], [1, 6, 103], [1, 12, 107], [1, 10, 109], [1, -14, 113]], 'euler_factors_factorization': [[[[1, -1], 1]], [[[1, -1], 1]], [[[1, 2, 5], 1]], [1], [[[1, -1], 1]], [[[1, 4, 13], 1]], [[[1, 6, 17], 1]], [[[1, 2, 19], 1]], [[[1, 0, 23], 1]], [[[1, 6, 29], 1]], [[[1, 2, 31], 1]], [[[1, -2, 37], 1]], [[[1, -2, 41], 1]], [[[1, 12, 43], 1]], [[[1, -6, 47], 1]], [[[1, -10, 53], 1]], [[[1, 8, 59], 1]], [[[1, 4, 61], 1]], [[[1, 0, 67], 1]], [[[1, 8, 71], 1]], [[[1, 6, 73], 1]], [[[1, -12, 79], 1]], [[[1, 6, 83], 1]], [[[1, -12, 89], 1]], [[[1, 0, 97], 1]], [[[1, 12, 101], 1]], [[[1, 6, 103], 1]], [[[1, 12, 107], 1]], [[[1, 10, 109], 1]], [[[1, -14, 113], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20176849, 'index': 66, 'label': '2-3234-1.1-c1-0-66', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/3234/2/a/u', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [-1.9697301873636262e-59, 0.26227275697547325, 0.524306322924512, 0.78579436778614, 1.0463001851872717, 1.305200939421518, 1.561642392512676, 1.8145063430806858, 2.0623921728779075, 2.3036130872678613, 2.5362069253402737, 2.7579608434026732, 2.966448750199964, 3.159080077602697, 3.333158277645132, 3.4859473131684484, 3.6147443260392085, 3.716956602661901, 3.790180898806838, 3.8322831303370983, 3.841476385479224, 3.8163951746150913, 3.7561638145672416, 3.6604568563869146, 3.529549518825458, 3.36435619283324, 3.1664552425336536, 2.9380985497401384, 2.682204534125394, 2.402333728668888, 2.1026463961311306, 1.7878421302512977, 1.4630818855504912, 1.1338934098383753, 0.8060615992149502, 0.4855058400036796, 0.17814692759604842, -0.11023336040546029, -0.37413652949844245, -0.6084916115923187, -0.808795267404438, -0.9712434816295619, -1.0928505620655646, -1.171551266861142, -1.2062821392468792, -1.1970385287943919, -1.1449043197912692, -1.052052062879343, -0.9217120024798956, -0.7581093912095745, -0.566370459900808, -0.35239843980571856, -0.12272207998174392, 0.11567986741898086, 0.35557374533744684, 0.5896803406694573, 0.8108923958110249, 1.0124936039518908, 1.1883720142052767, 1.3332206004115759, 1.4427178183393032, 1.5136813028563616, 1.5441884436696978, 1.53365842024838, 1.4828913585075045, 1.3940615687109126, 1.2706633011075883, 1.1174090692607443, 0.9400822890971217, 0.745347706125793, 0.5405247710998635, 0.3333307101337378, 0.13160145331458048, -0.05700022704385477, -0.22527911929501804, -0.36679370871333633, -0.47612306047789826, -0.5491036914680923, -0.5830263227154213, -0.5767834729045802, -0.5309603217429665, -0.4478631045006812, -0.33148144324218626, -0.18738340852004762, -0.022544656308214693, 0.15488439362769316, 0.33586678020127253, 0.5108136096073815, 0.6699538178293014, 0.8037259777169278, 0.9031775971481518, 0.960356423440557, 0.9686779137804343, 0.9232532948375969, 0.8211635366000312, 0.6616661001569956, 0.4463234545982089, 0.1790450357530722, -0.13396254496914575, -0.48433874732324256, -0.8618038011564838, -1.2544790651660125, -1.6492835378710229, -2.0323935295963635, -2.3897494081998962, -2.7075907696900026, -2.972999489062691, -3.1744289858271246, -3.3021977740521065, -3.3489260068032136, -3.3098952814654776, -3.1833144187390867, -2.9704771975916064, -2.675802016146356, -2.306748013600478, -1.8736071587243173, -1.3891769890339536, -0.8683238564289083, -0.3274514760512733, 0.21610593800691458, 0.7447428466168299, 1.2412678051118102, 1.6895871257275104, 2.0753579875735313, 2.3865826299593014, 2.6141169469677386, 2.7520697061742276, 2.798072658602148, 2.7534068522180353, 2.622976318868396, 2.415126741920052, 2.141313461142734, 1.8156299402946103, 1.4542143071319442, 1.074557472311856, 0.6947413555022768, 0.33263963591426005, 0.005115984846089288, -0.2727442317687461, -0.4883333700598081, -0.6321188451621259, -0.6981089877023283, -0.6841632805823162, -0.592129365473585, -0.4277967422618216, -0.20066530540003735, 0.07646459285192465, 0.3880653804116015, 0.7165956146747309, 1.0433230906512745, 1.3492214126852147, 1.6158993303422582, 1.8265195298468326, 1.9666629376028448, 2.0250960229269452, 1.994402078437526, 1.8714429049203065, 1.657624531901681, 1.3589492735613122, 0.985846179984168, 0.5527823594301781, 0.07766823604844089, -0.4189199365616526, -0.9146675678750975, -1.3865583921225137, -1.8119731132211727, -2.1697986068576394, -2.44149438896135, -2.6120637291668274, -2.6708800302223006, -2.6123248234395917, -2.436201735119096, -2.1479007300949156, -1.7582984012681484, -1.283392526257309, -0.7436819683849825, -0.1633156370164165, 0.4309539867545273, 1.0109669125673322, 1.548447102665811, 2.016329263335599, 2.39005782832199, 2.648794963030558, 2.7764774933827088, 2.7626687675205037, 2.603160358597317, 2.300289832759238, 1.8629540273115468, 1.3063117908519963, 0.6511852311756116, -0.07681654653129738, -0.8484132027884298, -1.631958028783142, -2.3948714144600363, -3.10513516755608, -3.732775944405565, -4.251265595037339, -4.6387693822208655, -4.8791797095331395, -4.962882907168759, -4.887219323777248, -4.656611853395126, -4.282354359878276, -3.7820684300653613, -3.1788536267986993, -2.5001720566026755, -1.7765217897082588, -1.03996473470357, -0.3225823665572314, 0.34506321236683074, 0.9353852918132077, 1.4250719865216102, 1.7961632006004769, 2.036850524652929, 2.141959688654566, 2.1130916300697575, 1.9584160359838216, 1.6921294440339796, 1.3336076688030054, 0.9062985046958988, 0.43641445936589496, -0.04850407139640306, -0.5210778681304379, -0.9555501171380724, -1.3291413098316331, -1.6232251762313108, -1.8242628651079675, -1.924445906121589, -1.9220145745460229, -1.821236253868883, -1.632047268768743, -1.369380393605926, -1.0522177804752861, -0.7024244039906312, -0.3434294091081383, 0.001168739664621093, 0.3089931798470521, 0.5601958350474276, 0.7386059310123155, 0.8326540977198247, 0.8360193018027687, 0.7479619247577423, 0.5733245452687488, 0.3222013552529927, 0.009296520535468948, -0.3469899408942606, -0.7256941216790045, -1.1045704687831441, -1.461447758806652, -1.7755777524387484, -2.028895755073224, -2.2071173896481837, -2.300605498746143, -2.304954696324883, -2.221257902408551, -2.0560382344774615, -1.8208497718303462], 'positive_zeros': ['1.85903386607596502969349171487446', '2.66690114339133132444504556253985', '3.69118412292025158855228574796945', '4.27222827210423087505130186345369', '4.95564799794251302942104107528789', '6.02270395206496623875231448916836', '6.95788415331915101694409318196734', '7.40078417474141074005915887652978', '8.183812753681928141329985345253977'], 'prelabel': '2-3234-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 5.081694600591626, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'trace_hash': 1135313576195128494, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.85903386607596502969349171487', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.66690114339133132444504556254', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.69118412292025158855228574797', 'prec': 100}}
