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lfunc_lfunctions • Show schema
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{'Lhash': '1925050256639908058246091723295', 'a10': [45879.80025945419, 0.0], 'a2': [-40.378407676536945, 0.0], 'a3': [50.39480039300072, 0.0], 'a4': [1118.4158064926178, 0.0], 'a5': [-1136.2459021907887, 0.0], 'a6': [-2034.8617950462876, 0.0], 'a7': [800.5342389253525, 0.0], 'a8': [-24486.104656054857, 0.0], 'a9': [-17143.364093349614, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.05632593806331, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[37, [[1.0, 0], [1874161.0, 0]]]], 'bad_primes': [37], 'central_character': '37.1', 'coefficient_field': 'CDF', 'conductor': 37, 'conductor_radical': 37, 'conjugate': '1925050256639908058246091723295', 'degree': 2, 'euler_factors': [[[1.0, 0], [40.378407676536945, 0], [512.0, 0]], [[1.0, 0], [-50.39480039300072, 0], [19683.0, 0]], [[1.0, 0], [1136.2459021907887, 0], [1953125.0, 0]], [[1.0, 0], [-800.5342389253525, 0], [40353607.0, 0]], [[1.0, 0], [-46888.84952569876, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.05632593806331, 'bad_primes': [37], 'central_character': '1.1', 'conductor': 37, 'conductor_radical': 37, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/37/10/a/a/1/2'], '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': '2-37-1.1-c9-0-13', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'prelabel': '2-37-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.365355190366909, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '1.51859688804889896267310212480', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1925050256639908058246091723295', 'Lhash_array': ['1925050256639908058246091723295'], 'label': '2-37-1.1-c9-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/37/10/a/a/1/2'}