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{'Lhash': '186597083133959782808103109742,1340269604701346935116192552173,1556680972371540693336077427033,2278288168844431148026014709445', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 2, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10246.855420925845, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1, -2, 3, -2, 1]], [7, [1, 0, 7, 0, 49]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1260.1', 'coefficient_field': '1.1.1.1', 'conductor': 2520473760000, 'conductor_radical': 210, 'degree': 8, 'euler_factors': [[1], [1], [1, -2, 3, -2, 1], [1, 0, 7, 0, 49], [1, -2, -12, 12, 91, 132, -1452, -2662, 14641], [1, 0, 38, 0, 699, 0, 6422, 0, 28561], [1, -2, -24, 12, 427, 204, -6936, -9826, 83521], [1, 6, 17, -114, -684, -2166, 6137, 41154, 130321], [1, 2, -36, -12, 979, -276, -19044, 24334, 279841], [1, 20, 252, 2100, 13258, 60900, 211932, 487780, 707281], [1, 2, -31, -54, 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['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.14719914391265590872760251820', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.05728629360491220302824439036', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.22800476100533845974334487086', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 10246.855420925845, 'bad_primes': [2, 3, 5, 7], 'central_character': '1.1', 'conductor': 2520473760000, 'conductor_radical': 210, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -6, 0, 0, 0, -2, 0, 1, 0, 0, 0, -20, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 12, 0, 8, 0, 0, 0, 12, 0, -7, 0, 0, 0, -4, 0, 4, 0, 0, 0, 6, 0, -16, 0, 0, 0, 0, 0, 4, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 12, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -12, 0, 32, 0, 0, 0], 'euler11': [1, -2, -12, 12, 91, 132, -1452, -2662, 14641], 'euler13': [1, 0, 38, 0, 699, 0, 6422, 0, 28561], 'euler17': [1, -2, -24, 12, 427, 204, -6936, -9826, 83521], 'euler19': [1, 6, 17, -114, -684, -2166, 6137, 41154, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 2, -36, -12, 979, -276, -19044, 24334, 279841], 'euler29': [1, 20, 252, 2100, 13258, 60900, 211932, 487780, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 2, -31, -54, 140, -1674, -29791, 59582, 923521], 'euler37': [1, -4, -55, 12, 3080, 444, -75295, -202612, 1874161], 'euler41': [1, -12, 92, -828, 7098, -33948, 154652, -827052, 2825761], 'euler43': [1, -8, 70, -560, 5803, -24080, 129430, -636056, 3418801], 'euler47': [1, -12, 14, -432, 7923, -20304, 30926, -1245876, 4879681], 'euler5': [1, -2, 3, -2, 1, 0, 0, 0, 0], 'euler53': [1, 4, -66, -96, 3067, -5088, -185394, 595508, 7890481], 'euler59': [1, -6, -28, 324, -1509, 19116, -97468, -1232274, 12117361], 'euler61': [1, 16, 70, 1024, 15259, 62464, 260470, 3631696, 13845841], 'euler67': [1, -4, -115, 12, 11600, 804, -516235, -1203052, 20151121], 'euler7': [1, 0, 7, 0, 49, 0, 0, 0, 0], 'euler71': [1, 44, 996, 14388, 144346, 1021548, 5020836, 15748084, 25411681], 'euler73': [1, 0, 29, 0, -4488, 0, 154541, 0, 28398241], 'euler79': [1, -6, -103, 114, 10236, 9006, -642823, -2958234, 38950081], 'euler83': [1, -12, 260, -2340, 32298, -194220, 1791140, -6861444, 47458321], 'euler89': [1, 2, 0, -348, -8261, -30972, 0, 1409938, 62742241], 'euler97': [1, -32, 772, -11360, 135046, -1101920, 7263748, -29205536, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 3, -2, 1, 0, 0, 0, 0], [1, 0, 7, 0, 49, 0, 0, 0, 0], [1, -2, -12, 12, 91, 132, -1452, -2662, 14641], [1, 0, 38, 0, 699, 0, 6422, 0, 28561], [1, -2, -24, 12, 427, 204, -6936, -9826, 83521], [1, 6, 17, -114, -684, -2166, 6137, 41154, 130321], [1, 2, -36, -12, 979, -276, -19044, 24334, 279841], [1, 20, 252, 2100, 13258, 60900, 211932, 487780, 707281], [1, 2, -31, -54, 140, -1674, -29791, 59582, 923521], [1, -4, -55, 12, 3080, 444, -75295, -202612, 1874161], [1, -12, 92, -828, 7098, -33948, 154652, -827052, 2825761], [1, -8, 70, -560, 5803, -24080, 129430, -636056, 3418801], [1, -12, 14, -432, 7923, -20304, 30926, -1245876, 4879681], [1, 4, -66, -96, 3067, -5088, -185394, 595508, 7890481], [1, -6, -28, 324, -1509, 19116, -97468, -1232274, 12117361], [1, 16, 70, 1024, 15259, 62464, 260470, 3631696, 13845841], [1, -4, -115, 12, 11600, 804, -516235, -1203052, 20151121], [1, 44, 996, 14388, 144346, 1021548, 5020836, 15748084, 25411681], [1, 0, 29, 0, -4488, 0, 154541, 0, 28398241], [1, -6, -103, 114, 10236, 9006, -642823, -2958234, 38950081], [1, -12, 260, -2340, 32298, -194220, 1791140, -6861444, 47458321], [1, 2, 0, -348, -8261, -30972, 0, 1409938, 62742241], [1, -32, 772, -11360, 135046, -1101920, 7263748, -29205536, 88529281]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1260/2/s/f'], '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': '8-1260e4-1.1-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': '8-1260e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.171931691364323, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1054911406183602966, 'z1': {'__RealLiteral__': 0, 'data': '0.14719914391265590872760251820', 'prec': 103}}
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{'Lhash': '186597083133959782808103109742,1340269604701346935116192552173,1556680972371540693336077427033,2278288168844431148026014709445', 'Lhash_array': ['186597083133959782808103109742', '1340269604701346935116192552173', '1556680972371540693336077427033', '2278288168844431148026014709445'], 'label': '8-1260e4-1.1-c1e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1260/2/s/f'}