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'z3': {'__RealLiteral__': 0, 'data': '1.77190946552616613835539648406', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 10.419298986878276, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 2562890625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -3, 0, 0, 0, 0, -3, 0, 4, 0, 0, 0, 0, 4, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, -10, 0, 0, -12, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, -14, 0, 0, -9, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -96, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0], 'euler11': [1, -4, -10, -16, 379, -176, -1210, -5324, 14641], 'euler13': [1, 0, 22, 0, 315, 0, 3718, 0, 28561], 'euler17': [1, 0, -36, 0, 902, 0, -10404, 0, 83521], 'euler19': [1, -32, 460, -3872, 20854, -73568, 166060, -219488, 130321], 'euler2': [1, 0, 3, 0, 5, 0, 12, 0, 16], 'euler23': [1, 0, 37, 0, 840, 0, 19573, 0, 279841], 'euler29': [1, 2, -55, 2, 2524, 58, -46255, 48778, 707281], 'euler3': [1, 0, 3, 0, 9, 0, 0, 0, 0], 'euler31': [1, 0, -62, 0, 2883, 0, -59582, 0, 923521], 'euler37': [1, 0, -116, 0, 6102, 0, -158804, 0, 1874161], 'euler41': [1, 10, -7, 250, 5668, 10250, -11767, 689210, 2825761], 'euler43': [1, 0, 22, 0, -1365, 0, 40678, 0, 3418801], 'euler47': [1, 0, 45, 0, -184, 0, 99405, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -204, 0, 16022, 0, -573036, 0, 7890481], 'euler59': [1, 28, 470, 5488, 48859, 323792, 1636070, 5750612, 12117361], 'euler61': [1, 14, 25, 686, 13564, 41846, 93025, 3177734, 13845841], 'euler67': [1, 0, 125, 0, 11136, 0, 561125, 0, 20151121], 'euler7': [1, 0, 5, 0, -24, 0, 245, 0, 2401], 'euler71': [1, -8, 308, -1736, 33670, -123256, 1552628, -2863288, 25411681], 'euler73': [1, 0, -260, 0, 27558, 0, -1385540, 0, 28398241], 'euler79': [1, 12, -50, 432, 20019, 34128, -312050, 5916468, 38950081], 'euler83': [1, 0, 85, 0, 336, 0, 585565, 0, 47458321], 'euler89': [1, -60, 1706, -29520, 338451, -2627280, 13513226, -42298140, 62742241], 'euler97': [1, 0, 190, 0, 26691, 0, 1787710, 0, 88529281], 'euler_factors': [[1, 0, 3, 0, 5, 0, 12, 0, 16], [1, 0, 3, 0, 9, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 5, 0, -24, 0, 245, 0, 2401], [1, -4, -10, -16, 379, -176, -1210, -5324, 14641], [1, 0, 22, 0, 315, 0, 3718, 0, 28561], [1, 0, -36, 0, 902, 0, -10404, 0, 83521], [1, -32, 460, -3872, 20854, -73568, 166060, -219488, 130321], [1, 0, 37, 0, 840, 0, 19573, 0, 279841], [1, 2, -55, 2, 2524, 58, -46255, 48778, 707281], [1, 0, -62, 0, 2883, 0, -59582, 0, 923521], [1, 0, -116, 0, 6102, 0, -158804, 0, 1874161], [1, 10, -7, 250, 5668, 10250, -11767, 689210, 2825761], [1, 0, 22, 0, -1365, 0, 40678, 0, 3418801], [1, 0, 45, 0, -184, 0, 99405, 0, 4879681], [1, 0, -204, 0, 16022, 0, -573036, 0, 7890481], [1, 28, 470, 5488, 48859, 323792, 1636070, 5750612, 12117361], [1, 14, 25, 686, 13564, 41846, 93025, 3177734, 13845841], [1, 0, 125, 0, 11136, 0, 561125, 0, 20151121], [1, -8, 308, -1736, 33670, -123256, 1552628, -2863288, 25411681], [1, 0, -260, 0, 27558, 0, -1385540, 0, 28398241], [1, 12, -50, 432, 20019, 34128, -312050, 5916468, 38950081], [1, 0, 85, 0, 336, 0, 585565, 0, 47458321], [1, -60, 1706, -29520, 338451, -2627280, 13513226, -42298140, 62742241], [1, 0, 190, 0, 26691, 0, 1787710, 0, 88529281]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/2/k/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': '8-15e8-1.1-c1e4-0-1', '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': '8-15e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.3403857823323886, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2051711321807076705, 'z1': {'__RealLiteral__': 0, 'data': '0.815525097298749108345657997160', 'prec': 107}}
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{'Lhash': '1033800879091944491305872524434,1636444208681869452171231680303,2246162097524325657809281525006,3707527758328443461841068284346', 'Lhash_array': ['1033800879091944491305872524434', '1636444208681869452171231680303', '2246162097524325657809281525006', '3707527758328443461841068284346'], 'label': '8-15e8-1.1-c1e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/2/k/a'}