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{'Lhash': '467528266875375026240171307392,864852411495932843851915673276,1814998438003680282125427589367,2127492421537721406090785811052', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -8, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 476.1369573827687, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1, 0, 10, 0, 25]], [13, [1, 0, -26, 0, 169]]], 'bad_primes': [3, 5, 13], 'central_character': '585.1', 'coefficient_field': '1.1.1.1', 'conductor': 117117950625, 'conductor_radical': 195, 'degree': 8, 'euler_factors': [[1, 0, 8, 0, 24, 0, 32, 0, 16], [1], [1, 0, 10, 0, 25], [1, 0, 2, 0, 99, 0, 98, 0, 2401], [1, 0, -34, 0, 531, 0, -4114, 0, 14641], [1, 0, -26, 0, 169], [1, 0, 62, 0, 1539, 0, 17918, 0, 83521], [1, 0, -76, 0, 2166, 0, -27436, 0, 130321], [1, 0, 38, 0, 1419, 0, 20102, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, -124, 0, 5766, 0, -119164, 0, 923521], [1, 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'10.64959093880742045827143833002068', '10.90840719798179187576143132498586'], 'prelabel': '8-585e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.161307131863703, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 2220796141455389495, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.36881477182371913175736337206', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.68224825621525657989964919455', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.43178131077830570229078081033', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 476.1369573827687, 'bad_primes': [3, 5, 13], 'central_character': '1.1', 'conductor': 117117950625, 'conductor_radical': 195, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80], 'euler11': [1, 0, -34, 0, 531, 0, -4114, 0, 14641], 'euler13': [1, 0, -26, 0, 169, 0, 0, 0, 0], 'euler17': [1, 0, 62, 0, 1539, 0, 17918, 0, 83521], 'euler19': [1, 0, -76, 0, 2166, 0, -27436, 0, 130321], 'euler2': [1, 0, 8, 0, 24, 0, 32, 0, 16], 'euler23': [1, 0, 38, 0, 1419, 0, 20102, 0, 279841], 'euler29': [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -124, 0, 5766, 0, -119164, 0, 923521], 'euler37': [1, 0, 122, 0, 6459, 0, 167018, 0, 1874161], 'euler41': [1, 0, 86, 0, 5211, 0, 144566, 0, 2825761], 'euler43': [1, 0, -172, 0, 11094, 0, -318028, 0, 3418801], 'euler47': [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], 'euler5': [1, 0, 10, 0, 25, 0, 0, 0, 0], 'euler53': [1, 0, -82, 0, 7299, 0, -230338, 0, 7890481], 'euler59': [1, 0, -76, 0, 8406, 0, -264556, 0, 12117361], 'euler61': [1, 28, 538, 6496, 60595, 396256, 2001898, 6355468, 13845841], 'euler67': [1, 0, -148, 0, 14454, 0, -664372, 0, 20151121], 'euler7': [1, 0, 2, 0, 99, 0, 98, 0, 2401], 'euler71': [1, 0, 206, 0, 20691, 0, 1038446, 0, 25411681], 'euler73': [1, 0, 188, 0, 19494, 0, 1001852, 0, 28398241], 'euler79': [1, -44, 1042, -15752, 166795, -1244408, 6503122, -21693716, 38950081], 'euler83': [1, 0, 332, 0, 41334, 0, 2287148, 0, 47458321], 'euler89': [1, 0, -346, 0, 45771, 0, -2740666, 0, 62742241], 'euler97': [1, 0, 362, 0, 51579, 0, 3406058, 0, 88529281], 'euler_factors': [[1, 0, 8, 0, 24, 0, 32, 0, 16], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 10, 0, 25, 0, 0, 0, 0], [1, 0, 2, 0, 99, 0, 98, 0, 2401], [1, 0, -34, 0, 531, 0, -4114, 0, 14641], [1, 0, -26, 0, 169, 0, 0, 0, 0], [1, 0, 62, 0, 1539, 0, 17918, 0, 83521], [1, 0, -76, 0, 2166, 0, -27436, 0, 130321], [1, 0, 38, 0, 1419, 0, 20102, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, -124, 0, 5766, 0, -119164, 0, 923521], [1, 0, 122, 0, 6459, 0, 167018, 0, 1874161], [1, 0, 86, 0, 5211, 0, 144566, 0, 2825761], [1, 0, -172, 0, 11094, 0, -318028, 0, 3418801], [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], [1, 0, -82, 0, 7299, 0, -230338, 0, 7890481], [1, 0, -76, 0, 8406, 0, -264556, 0, 12117361], [1, 28, 538, 6496, 60595, 396256, 2001898, 6355468, 13845841], [1, 0, -148, 0, 14454, 0, -664372, 0, 20151121], [1, 0, 206, 0, 20691, 0, 1038446, 0, 25411681], [1, 0, 188, 0, 19494, 0, 1001852, 0, 28398241], [1, -44, 1042, -15752, 166795, -1244408, 6503122, -21693716, 38950081], [1, 0, 332, 0, 41334, 0, 2287148, 0, 47458321], [1, 0, -346, 0, 45771, 0, -2740666, 0, 62742241], [1, 0, 362, 0, 51579, 0, 3406058, 0, 88529281]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/585/2/h/e'], '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': '8-585e4-1.1-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': '8-585e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.161307131863703, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2220796141455389495, 'z1': {'__RealLiteral__': 0, 'data': '0.36881477182371913175736337206', 'prec': 103}}
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{'Lhash': '467528266875375026240171307392,864852411495932843851915673276,1814998438003680282125427589367,2127492421537721406090785811052', 'Lhash_array': ['467528266875375026240171307392', '864852411495932843851915673276', '1814998438003680282125427589367', '2127492421537721406090785811052'], 'label': '8-585e4-1.1-c1e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/585/2/h/e'}