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{'Lhash': '508079743673972475409545686045,2059382716387351702294615204049,2882493196766468312882893937910,3421872951529557753084244333687', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 4, 'a6': 0, 'a7': -4, 'a8': 0, 'a9': -2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.460966909537206, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]]], 'bad_primes': [2], 'central_character': '256.1', 'coefficient_field': '1.1.1.1', 'conductor': 4294967296, 'conductor_radical': 2, 'degree': 8, 'euler_factors': [[1], [1, 0, 2, -8, 2, -24, 18, 0, 81], [1, -4, 6, 12, -62, 60, 150, -500, 625], [1, 4, 8, 36, 158, 252, 392, 1372, 2401], [1, 8, 18, -48, -350, -528, 2178, 10648, 14641], [1, 4, 6, 4, 2, 52, 1014, 8788, 28561], [1, 0, -52, 0, 1254, 0, -15028, 0, 83521], [1, 8, 18, -160, -1246, -3040, 6498, 54872, 130321], [1, 12, 72, 300, 1246, 6900, 38088, 146004, 279841], [1, -4, 6, 204, -830, 5916, 5046, -97556, 707281], [1, -16, 220, -1744, 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{'algebraic': True, 'analytic_conductor': 17.460966909537206, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 4294967296, 'conductor_radical': 2, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 4, 0, -4, 0, -2, 0, -8, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, -12, 0, 10, 0, 8, 0, 4, 0, 16, 0, 0, 0, -16, 0, -4, 0, 0, 0, -12, 0, 16, 0, -8, 0, 0, 0, 8, 0, 0, 0, -4, 0, -32, 0, 0, 0, -16, 0, -4, 0, 8, 0, -16, 0, -8, 0, 0, 0, 12, 0, 28, 0, 0, 0, 32, 0, 0, 0, 2, 0, 16, 0, 0, 0, 0, 0, 12, 0, 16, 0, 0, 0, -32, 0, -40, 0, 16, 0], 'euler11': [1, 8, 18, -48, -350, -528, 2178, 10648, 14641], 'euler13': [1, 4, 6, 4, 2, 52, 1014, 8788, 28561], 'euler17': [1, 0, -52, 0, 1254, 0, -15028, 0, 83521], 'euler19': [1, 8, 18, -160, -1246, -3040, 6498, 54872, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 12, 72, 300, 1246, 6900, 38088, 146004, 279841], 'euler29': [1, -4, 6, 204, -830, 5916, 5046, -97556, 707281], 'euler3': [1, 0, 2, -8, 2, -24, 18, 0, 81], 'euler31': [1, -16, 220, -1744, 11974, -54064, 211420, -476656, 923521], 'euler37': [1, 4, 6, 4, 2, 148, 8214, 202612, 1874161], 'euler41': [1, 12, 72, 516, 3694, 21156, 121032, 827052, 2825761], 'euler43': [1, -16, 162, -1384, 10178, -59512, 299538, -1272112, 3418801], 'euler47': [1, 0, -52, 0, 486, 0, -114868, 0, 4879681], 'euler5': [1, -4, 6, 12, -62, 60, 150, -500, 625], 'euler53': [1, 4, 54, 708, 3490, 37524, 151686, 595508, 7890481], 'euler59': [1, 16, 114, 696, 4834, 41064, 396834, 3286064, 12117361], 'euler61': [1, 4, 6, 4, 2, 244, 22326, 907924, 13845841], 'euler67': [1, 8, 18, -736, -5854, -49312, 80802, 2406104, 20151121], 'euler7': [1, 4, 8, 36, 158, 252, 392, 1372, 2401], 'euler71': [1, -12, 72, -876, 10654, -62196, 362952, -4294932, 25411681], 'euler73': [1, -28, 392, -4788, 48878, -349524, 2088968, -10892476, 28398241], 'euler79': [1, 0, -244, 0, 27366, 0, -1522804, 0, 38950081], 'euler83': [1, -16, 114, -792, 6370, -65736, 785346, -9148592, 47458321], 'euler89': [1, -12, 72, -516, 1582, -45924, 570312, -8459628, 62742241], 'euler97': [1, 40, 844, 12760, 145702, 1237720, 7941196, 36506920, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 2, -8, 2, -24, 18, 0, 81], [1, -4, 6, 12, -62, 60, 150, -500, 625], [1, 4, 8, 36, 158, 252, 392, 1372, 2401], [1, 8, 18, -48, -350, -528, 2178, 10648, 14641], [1, 4, 6, 4, 2, 52, 1014, 8788, 28561], [1, 0, -52, 0, 1254, 0, -15028, 0, 83521], [1, 8, 18, -160, -1246, -3040, 6498, 54872, 130321], [1, 12, 72, 300, 1246, 6900, 38088, 146004, 279841], [1, -4, 6, 204, -830, 5916, 5046, -97556, 707281], [1, -16, 220, -1744, 11974, -54064, 211420, -476656, 923521], [1, 4, 6, 4, 2, 148, 8214, 202612, 1874161], [1, 12, 72, 516, 3694, 21156, 121032, 827052, 2825761], [1, -16, 162, -1384, 10178, -59512, 299538, -1272112, 3418801], [1, 0, -52, 0, 486, 0, -114868, 0, 4879681], [1, 4, 54, 708, 3490, 37524, 151686, 595508, 7890481], [1, 16, 114, 696, 4834, 41064, 396834, 3286064, 12117361], [1, 4, 6, 4, 2, 244, 22326, 907924, 13845841], [1, 8, 18, -736, -5854, -49312, 80802, 2406104, 20151121], [1, -12, 72, -876, 10654, -62196, 362952, -4294932, 25411681], [1, -28, 392, -4788, 48878, -349524, 2088968, -10892476, 28398241], [1, 0, -244, 0, 27366, 0, -1522804, 0, 38950081], [1, -16, 114, -792, 6370, -65736, 785346, -9148592, 47458321], [1, -12, 72, -516, 1582, -45924, 570312, -8459628, 62742241], [1, 40, 844, 12760, 145702, 1237720, 7941196, 36506920, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/256/2/g/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': '8-2e32-1.1-c1e4-0-0', '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': '8-2e32-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4297448344878811, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 949253757983081690, 'z1': {'__RealLiteral__': 0, 'data': '0.40080424651910957333917738776', 'prec': 103}}
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{'Lhash': '508079743673972475409545686045,2059382716387351702294615204049,2882493196766468312882893937910,3421872951529557753084244333687', 'Lhash_array': ['508079743673972475409545686045', '2059382716387351702294615204049', '2882493196766468312882893937910', '3421872951529557753084244333687'], 'label': '8-2e32-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/256/2/g/a'}