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lfunc_lfunctions • Show schema
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{'Lhash': '1121378629768406720695057421876', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.2463166662878384, 0.0], 'a4': [0.0, 0.0], 'a5': [3.5922841298585704, 0.0], 'a6': [0.0, 0.0], 'a7': [1.8673030744462942, 0.0], 'a8': [0.0, 0.0], 'a9': [2.045938565242509, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 69.88507184902463, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [547, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 547], 'central_character': '8752.1', 'coefficient_field': 'CDF', 'conductor': 8752, 'conductor_radical': 1094, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.2463166662878384, 0], [3.0, 0]], [[1.0, 0], [-3.5922841298585704, 0], [5.0, 0]], [[1.0, 0], [-1.8673030744462942, 0], [7.0, 0]], [[1.0, 0], [1.1604043002914355, 0], [11.0, 0]], [[1.0, 0], [-1.9512531408494043, 0], [13.0, 0]], [[1.0, 0], [-4.16848992900006, 0], [17.0, 0]], [[1.0, 0], [-6.656261204167463, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 69.88507184902463, 'bad_primes': [2, 547], 'central_character': '1.1', 'conductor': 8752, 'conductor_radical': 1094, 'degree': 2, 'index': 111, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8752/2/a/v/1/5'], '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': '2-8752-1.1-c1-0-111', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-8752-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.359729173186452, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.884611760974603181610831142536', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1121378629768406720695057421876', 'Lhash_array': ['1121378629768406720695057421876'], 'label': '2-8752-1.1-c1-0-111', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8752/2/a/v/1/5'}