Table lfunc_lfunctions
L-functions
{'Lhash': '259268708829447834713772408441,740245555799374964275397349366,1631813171547818497318350033482,2027993640959568775233819039558', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1832982.4622955776, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '4608.1', 'coefficient_field': '1.1.1.1', 'conductor': 450868486864896, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1], [1, 0, 20, 0, 150, 0, 500, 0, 625], [1, 0, 8, 0, 114, 0, 392, 0, 2401], [1, 0, -12, 0, 278, 0, -1452, 0, 14641], [1, 0, 20, 0, 438, 0, 3380, 0, 28561], [1, 0, -32, 0, 834, 0, -9248, 0, 83521], [1, 0, 60, 0, 1622, 0, 21660, 0, 130321], [1, -24, 308, -2520, 14406, -57960, 162932, -292008, 279841], [1, 0, -28, 0, 1878, 0, -23548, 0, 707281], [1, 0, -88, 0, 3858, 0, -84568, 0, 923521], [1, 0, -76, 0, 4182, 0, -104044, 0, 1874161], [1, 0, -160, 0, 9762, 0, -268960, 0, 2825761], [1, 0, 156, 0, 9782, 0, 288444, 0, 3418801], [1, -24, 404, -4248, 34854, -199656, 892436, -2491752, 4879681], [1, 0, 68, 0, 6774, 0, 191012, 0, 7890481], [1, 0, -204, 0, 17366, 0, -710124, 0, 12117361], [1, 0, -172, 0, 14838, 0, -640012, 0, 13845841], [1, 0, 12, 0, 9014, 0, 53868, 0, 20151121], [1, 24, 500, 5976, 62214, 424296, 2520500, 8589864, 25411681], [1, 24, 508, 6120, 64806, 446760, 2707132, 9336408, 28398241], [1, 0, -280, 0, 32082, 0, -1747480, 0, 38950081], [1, 0, 180, 0, 21878, 0, 1240020, 0, 47458321], [1, 0, -32, 0, 16098, 0, -253472, 0, 62742241], [1, 48, 1252, 20880, 244806, 2025360, 11780068, 43808304, 88529281], [1, 0, 260, 0, 37302, 0, 2652260, 0, 104060401], [1, 0, -88, 0, 23154, 0, -933592, 0, 112550881], [1, 0, 84, 0, 24662, 0, 961716, 0, 131079601], [1, 0, -364, 0, 56886, 0, -4324684, 0, 141158161], [1, 0, -448, 0, 75714, 0, -5720512, 0, 163047361]], 'euler_factors_factorization': [[1], [1], [[[1, 0, 5], 4]], [[[1, 0, 4, 0, 49], 2]], [[[1, 0, -6, 0, 121], 2]], [[[1, -4, 13], 2], [[1, 4, 13], 2]], [[[1, 0, -16, 0, 289], 2]], [[[1, 0, 30, 0, 361], 2]], [[[1, -6, 23], 4]], [[[1, 0, -14, 0, 841], 2]], [[[1, 0, -44, 0, 961], 2]], [[[1, 0, -38, 0, 1369], 2]], [[[1, 0, -80, 0, 1681], 2]], [[[1, 0, 78, 0, 1849], 2]], [[[1, -6, 47], 4]], [[[1, 0, 34, 0, 2809], 2]], [[[1, 0, -102, 0, 3481], 2]], [[[1, 0, -86, 0, 3721], 2]], [[[1, 0, 6, 0, 4489], 2]], [[[1, 6, 71], 4]], [[[1, 6, 73], 4]], [[[1, 0, -140, 0, 6241], 2]], [[[1, 0, 90, 0, 6889], 2]], [[[1, 0, -16, 0, 7921], 2]], [[[1, 12, 97], 4]], [[[1, 0, 130, 0, 10201], 2]], [[[1, 0, -44, 0, 10609], 2]], [[[1, 0, 42, 0, 11449], 2]], [[[1, -20, 109], 2], [[1, 20, 109], 2]], [[[1, 0, -224, 0, 12769], 2]]], 'gamma_factors': [[], [0, 0, 0, 0]], 'group': 'GL2', 'id': 23581508, 'index': 9, 'label': '8-4608e4-1.1-c1e4-0-9', 'leading_term': '1.82981360835013692084884933113260599538599525214092497014135617871132020155965929138515642', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/4608/2/f/k', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0126953125', 'prec': 30}, 'plot_values': [1.8298136083501368, 1.8202502723968987, 1.7951426360134575, 1.7540891710002058, 1.6968186080179768, 1.6234087667469403, 1.5345303480336256, 1.4310482719127386, 1.3139362220353716, 1.1841908494540938, 1.0428235903726566, 0.8909441096451537, 0.7297715202866343, 0.56065239577318, 0.3850327814228436, 0.20443569103238352, 0.020449731475650098, -0.16528220883934666, -0.3510717830273191, -0.5351948640148478, -0.7158986998329562, -0.8914167894666222, -1.0599869250141845, -1.2198652047815581, -1.3693383183692547, -1.5067425956021165, -1.630479069121723, -1.7390291755654936, -1.8309714737825495, -1.905000460145272, -1.9599400687469948, -1.9947606850604427, -2.008596758990486, 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