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{'Lhash': '450075761788556114841533115294,1028280231396771504557684655962,1086712440557628654001829093998,1344447921330316246685542071316', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2936083.48025422, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '5184.1', 'coefficient_field': '1.1.1.1', 'conductor': 722204136308736, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1], [1], [1, 0, -14, 0, 99, 0, -350, 0, 625], [1, 0, 4, 0, 102, 0, 196, 0, 2401], [1, 0, -44, 0, 726, 0, -5324, 0, 14641], [1, 0, -46, 0, 867, 0, -7774, 0, 28561], [1, -12, 122, -720, 3651, -12240, 35258, -58956, 83521], [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], [1, 0, -4, 0, 1062, 0, -2116, 0, 279841], [1, 0, 34, 0, 1971, 0, 28594, 0, 707281], [1, 0, 100, 0, 4422, 0, 96100, 0, 923521], [1, 0, 2, 0, 2739, 0, 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{'algebraic': True, 'analytic_conductor': 2936083.48025422, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 722204136308736, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0], 'euler11': [1, 0, -44, 0, 726, 0, -5324, 0, 14641], 'euler13': [1, 0, -46, 0, 867, 0, -7774, 0, 28561], 'euler17': [1, -12, 122, -720, 3651, -12240, 35258, -58956, 83521], 'euler19': [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -4, 0, 1062, 0, -2116, 0, 279841], 'euler29': [1, 0, 34, 0, 1971, 0, 28594, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 100, 0, 4422, 0, 96100, 0, 923521], 'euler37': [1, 0, 2, 0, 2739, 0, 2738, 0, 1874161], 'euler41': [1, 24, 380, 3816, 29094, 156456, 638780, 1654104, 2825761], 'euler43': [1, 0, -140, 0, 8598, 0, -258860, 0, 3418801], 'euler47': [1, 0, 164, 0, 11142, 0, 362276, 0, 4879681], 'euler5': [1, 0, -14, 0, 99, 0, -350, 0, 625], 'euler53': [1, 0, -116, 0, 8982, 0, -325844, 0, 7890481], 'euler59': [1, 0, 52, 0, 7638, 0, 181012, 0, 12117361], 'euler61': [1, 0, -190, 0, 16467, 0, -706990, 0, 13845841], 'euler67': [1, 0, -68, 0, 10134, 0, -305252, 0, 20151121], 'euler7': [1, 0, 4, 0, 102, 0, 196, 0, 2401], 'euler71': [1, 0, 260, 0, 26982, 0, 1310660, 0, 25411681], 'euler73': [1, -20, 442, -4880, 54499, -356240, 2355418, -7780340, 28398241], 'euler79': [1, 0, 220, 0, 24582, 0, 1373020, 0, 38950081], 'euler83': [1, 0, -260, 0, 30678, 0, -1791140, 0, 47458321], 'euler89': [1, -60, 1706, -29520, 338451, -2627280, 13513226, -42298140, 62742241], 'euler97': [1, -40, 988, -15640, 182854, -1517080, 9296092, -36506920, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -14, 0, 99, 0, -350, 0, 625], [1, 0, 4, 0, 102, 0, 196, 0, 2401], [1, 0, -44, 0, 726, 0, -5324, 0, 14641], [1, 0, -46, 0, 867, 0, -7774, 0, 28561], [1, -12, 122, -720, 3651, -12240, 35258, -58956, 83521], [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], [1, 0, -4, 0, 1062, 0, -2116, 0, 279841], [1, 0, 34, 0, 1971, 0, 28594, 0, 707281], [1, 0, 100, 0, 4422, 0, 96100, 0, 923521], [1, 0, 2, 0, 2739, 0, 2738, 0, 1874161], [1, 24, 380, 3816, 29094, 156456, 638780, 1654104, 2825761], [1, 0, -140, 0, 8598, 0, -258860, 0, 3418801], [1, 0, 164, 0, 11142, 0, 362276, 0, 4879681], [1, 0, -116, 0, 8982, 0, -325844, 0, 7890481], [1, 0, 52, 0, 7638, 0, 181012, 0, 12117361], [1, 0, -190, 0, 16467, 0, -706990, 0, 13845841], [1, 0, -68, 0, 10134, 0, -305252, 0, 20151121], [1, 0, 260, 0, 26982, 0, 1310660, 0, 25411681], [1, -20, 442, -4880, 54499, -356240, 2355418, -7780340, 28398241], [1, 0, 220, 0, 24582, 0, 1373020, 0, 38950081], [1, 0, -260, 0, 30678, 0, -1791140, 0, 47458321], [1, -60, 1706, -29520, 338451, -2627280, 13513226, -42298140, 62742241], [1, -40, 988, -15640, 182854, -1517080, 9296092, -36506920, 88529281]], 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5184/2/d/k'], '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': '8-72e8-1.1-c1e4-0-13', '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': '8-72e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.433851755195466, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1515087509619829819, 'z1': {'__RealLiteral__': 0, 'data': '0.35504717286255685208212360787', 'prec': 103}}
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{'Lhash': '450075761788556114841533115294,1028280231396771504557684655962,1086712440557628654001829093998,1344447921330316246685542071316', 'Lhash_array': ['450075761788556114841533115294', '1028280231396771504557684655962', '1086712440557628654001829093998', '1344447921330316246685542071316'], 'factors': ['2-72e2-8.5-c1-0-18', '2-72e2-8.5-c1-0-48', '2-72e2-8.5-c1-0-51', '2-72e2-8.5-c1-0-64'], 'label': '8-72e8-1.1-c1e4-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5184/2/d/k'}