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{'Lhash': '454392221659014930330015320631,1311925958926432284765369902686,2246169651898152662425199562803,3329146934207460611860408782268', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 8, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3041.1666709051456, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 0, 0, 1]], [3, [1, -4, 8, -12, 9]], [5, [1, 0, -8, 0, 25]], [31, [1, 4, 6, 4, 1]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.1', 'coefficient_field': '1.1.1.1', 'conductor': 748052010000, 'conductor_radical': 930, 'degree': 8, 'euler_factors': [[1, 0, 0, 0, 1], [1, -4, 8, -12, 9], [1, 0, -8, 0, 25], [1, 0, 0, 0, 98, 0, 0, 0, 2401], [1, 0, -8, 0, 258, 0, -968, 0, 14641], [1, 12, 72, 372, 1598, 4836, 12168, 26364, 28561], [1, 0, 0, 0, 322, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, 1058, 0, 0, 0, 279841], [1, 0, 100, 0, 4182, 0, 84100, 0, 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{'algebraic': True, 'analytic_conductor': 3041.1666709051456, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 748052010000, 'conductor_radical': 930, 'degree': 8, 'dirichlet_coefficients': [1, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 12, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 12, 0, 0, 0], 'euler11': [1, 0, -8, 0, 258, 0, -968, 0, 14641], 'euler13': [1, 12, 72, 372, 1598, 4836, 12168, 26364, 28561], 'euler17': [1, 0, 0, 0, 322, 0, 0, 0, 83521], 'euler19': [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], 'euler2': [1, 0, 0, 0, 1, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, 1058, 0, 0, 0, 279841], 'euler29': [1, 0, 100, 0, 4182, 0, 84100, 0, 707281], 'euler3': [1, -4, 8, -12, 9, 0, 0, 0, 0], 'euler31': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler37': [1, 20, 200, 1740, 12638, 64380, 273800, 1013060, 1874161], 'euler41': [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], 'euler43': [1, -32, 512, -5472, 42098, -235296, 946688, -2544224, 3418801], 'euler47': [1, 0, 0, 0, -1054, 0, 0, 0, 4879681], 'euler5': [1, 0, -8, 0, 25, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, -718, 0, 0, 0, 7890481], 'euler59': [1, 0, 172, 0, 14358, 0, 598732, 0, 12117361], 'euler61': [1, 32, 628, 7904, 73270, 482144, 2336788, 7263392, 13845841], 'euler67': [1, 4, 8, 276, 9518, 18492, 35912, 1203052, 20151121], 'euler7': [1, 0, 0, 0, 98, 0, 0, 0, 2401], 'euler71': [1, 0, -280, 0, 29682, 0, -1411480, 0, 25411681], 'euler73': [1, -8, 32, -648, 13058, -47304, 170528, -3112136, 28398241], 'euler79': [1, 0, -116, 0, 15846, 0, -723956, 0, 38950081], 'euler83': [1, 0, 0, 0, 11186, 0, 0, 0, 47458321], 'euler89': [1, 0, 256, 0, 32226, 0, 2027776, 0, 62742241], 'euler97': [1, -12, 72, -1380, 26126, -133860, 677448, -10952076, 88529281], 'euler_factors': [[1, 0, 0, 0, 1, 0, 0, 0, 0], [1, -4, 8, -12, 9, 0, 0, 0, 0], [1, 0, -8, 0, 25, 0, 0, 0, 0], [1, 0, 0, 0, 98, 0, 0, 0, 2401], [1, 0, -8, 0, 258, 0, -968, 0, 14641], [1, 12, 72, 372, 1598, 4836, 12168, 26364, 28561], [1, 0, 0, 0, 322, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, 1058, 0, 0, 0, 279841], [1, 0, 100, 0, 4182, 0, 84100, 0, 707281], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 20, 200, 1740, 12638, 64380, 273800, 1013060, 1874161], [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], [1, -32, 512, -5472, 42098, -235296, 946688, -2544224, 3418801], [1, 0, 0, 0, -1054, 0, 0, 0, 4879681], [1, 0, 0, 0, -718, 0, 0, 0, 7890481], [1, 0, 172, 0, 14358, 0, 598732, 0, 12117361], [1, 32, 628, 7904, 73270, 482144, 2336788, 7263392, 13845841], [1, 4, 8, 276, 9518, 18492, 35912, 1203052, 20151121], [1, 0, -280, 0, 29682, 0, -1411480, 0, 25411681], [1, -8, 32, -648, 13058, -47304, 170528, -3112136, 28398241], [1, 0, -116, 0, 15846, 0, -723956, 0, 38950081], [1, 0, 0, 0, 11186, 0, 0, 0, 47458321], [1, 0, 256, 0, 32226, 0, 2027776, 0, 62742241], [1, -12, 72, -1380, 26126, -133860, 677448, -10952076, 88529281]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/j/a'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-930e4-1.1-c1e4-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-930e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.725084840510306, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2015527677358095795, 'z1': {'__RealLiteral__': 0, 'data': '0.35845225930331716462255307627', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '454392221659014930330015320631,1311925958926432284765369902686,2246169651898152662425199562803,3329146934207460611860408782268', 'Lhash_array': ['454392221659014930330015320631', '1311925958926432284765369902686', '2246169651898152662425199562803', '3329146934207460611860408782268'], 'label': '8-930e4-1.1-c1e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/930/2/j/a'}