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{'Lhash': '1237823815529708114904887122376,1329700090219770215536065300620,1812290504253835402250013607950,3052537893774516416003136221450', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 10, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 669.3698663148037, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [1]], [13, [1, 8, 42, 104, 169]]], 'bad_primes': [7, 13], 'central_character': '637.1', 'coefficient_field': '1.1.1.1', 'conductor': 164648481361, 'conductor_radical': 91, 'degree': 8, 'euler_factors': [[1, 0, 0, 0, -4, 0, 0, 0, 16], [1, -4, 6, -16, 43, -48, 54, -108, 81], [1, 0, 9, 0, 56, 0, 225, 0, 625], [1], [1, 0, 18, 0, 203, 0, 2178, 0, 14641], [1, 8, 42, 104, 169], [1, -12, 74, -432, 2163, -7344, 21386, -58956, 83521], [1, 0, 29, 0, 480, 0, 10469, 0, 130321], [1, -6, -19, -54, 1668, -1242, -10051, -73002, 279841], [1, -12, 170, -1152, 8259, -33408, 142970, -292668, 707281], [1, 0, 53, 0, 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{'__RealLiteral__': 0, 'data': '1.04894841684322899871543530561', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.42964512770912454141565688065', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 669.3698663148037, 'bad_primes': [7, 13], 'central_character': '1.1', 'conductor': 164648481361, 'conductor_radical': 91, 'degree': 8, 'dirichlet_coefficients': [1, 0, 4, 0, 0, 0, 0, 0, 10, 0, 0, 0, -8, 0, 0, 4, 12, 0, 0, 0, 0, 0, 6, 0, -9, 0, 32, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 4, 0, 0, 0, 0, 16, 0, 0, 48, 0, 18, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 18, 0, 89, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 18, 0, 203, 0, 2178, 0, 14641], 'euler13': [1, 8, 42, 104, 169, 0, 0, 0, 0], 'euler17': [1, -12, 74, -432, 2163, -7344, 21386, -58956, 83521], 'euler19': [1, 0, 29, 0, 480, 0, 10469, 0, 130321], 'euler2': [1, 0, 0, 0, -4, 0, 0, 0, 16], 'euler23': [1, -6, -19, -54, 1668, -1242, -10051, -73002, 279841], 'euler29': [1, -12, 170, -1152, 8259, -33408, 142970, -292668, 707281], 'euler3': [1, -4, 6, -16, 43, -48, 54, -108, 81], 'euler31': [1, 0, 53, 0, 1848, 0, 50933, 0, 923521], 'euler37': [1, 0, 38, 0, 75, 0, 52022, 0, 1874161], 'euler41': [1, 0, 36, 0, 3686, 0, 60516, 0, 2825761], 'euler43': [1, -4, 178, -520, 11611, -22360, 329122, -318028, 3418801], 'euler47': [1, 0, -27, 0, -1480, 0, -59643, 0, 4879681], 'euler5': [1, 0, 9, 0, 56, 0, 225, 0, 625], 'euler53': [1, -18, 137, -1458, 14988, -77274, 384833, -2679786, 7890481], 'euler59': [1, 0, 54, 0, -565, 0, 187974, 0, 12117361], 'euler61': [1, -16, 70, -1024, 15259, -62464, 260470, -3631696, 13845841], 'euler67': [1, 0, -10, 0, -4389, 0, -44890, 0, 20151121], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, 108, 0, 12998, 0, 544428, 0, 25411681], 'euler73': [1, 0, 65, 0, -1104, 0, 346385, 0, 28398241], 'euler79': [1, -18, 85, -1458, 25284, -115182, 530485, -8874702, 38950081], 'euler83': [1, 0, -90, 0, 15803, 0, -620010, 0, 47458321], 'euler89': [1, 0, 153, 0, 15488, 0, 1211913, 0, 62742241], 'euler97': [1, 0, -226, 0, 31587, 0, -2126434, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, -4, 0, 0, 0, 16], [1, -4, 6, -16, 43, -48, 54, -108, 81], [1, 0, 9, 0, 56, 0, 225, 0, 625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 18, 0, 203, 0, 2178, 0, 14641], [1, 8, 42, 104, 169, 0, 0, 0, 0], [1, -12, 74, -432, 2163, -7344, 21386, -58956, 83521], [1, 0, 29, 0, 480, 0, 10469, 0, 130321], [1, -6, -19, -54, 1668, -1242, -10051, -73002, 279841], [1, -12, 170, -1152, 8259, -33408, 142970, -292668, 707281], [1, 0, 53, 0, 1848, 0, 50933, 0, 923521], [1, 0, 38, 0, 75, 0, 52022, 0, 1874161], [1, 0, 36, 0, 3686, 0, 60516, 0, 2825761], [1, -4, 178, -520, 11611, -22360, 329122, -318028, 3418801], [1, 0, -27, 0, -1480, 0, -59643, 0, 4879681], [1, -18, 137, -1458, 14988, -77274, 384833, -2679786, 7890481], [1, 0, 54, 0, -565, 0, 187974, 0, 12117361], [1, -16, 70, -1024, 15259, -62464, 260470, -3631696, 13845841], [1, 0, -10, 0, -4389, 0, -44890, 0, 20151121], [1, 0, 108, 0, 12998, 0, 544428, 0, 25411681], [1, 0, 65, 0, -1104, 0, 346385, 0, 28398241], [1, -18, 85, -1458, 25284, -115182, 530485, -8874702, 38950081], [1, 0, -90, 0, 15803, 0, -620010, 0, 47458321], [1, 0, 153, 0, 15488, 0, 1211913, 0, 62742241], [1, 0, -226, 0, 31587, 0, -2126434, 0, 88529281]], 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/r/c'], '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': '8-637e4-1.1-c1e4-0-25', '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': '8-637e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2197748169658349061, 'z1': {'__RealLiteral__': 0, 'data': '0.976470815622892274161568489520', 'prec': 107}}
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{'Lhash': '1237823815529708114904887122376,1329700090219770215536065300620,1812290504253835402250013607950,3052537893774516416003136221450', 'Lhash_array': ['1237823815529708114904887122376', '1329700090219770215536065300620', '1812290504253835402250013607950', '3052537893774516416003136221450'], 'label': '8-637e4-1.1-c1e4-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/r/c'}