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lfunc_lfunctions • Show schema
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{'Lhash': '2536643490607555583011983663186', 'a10': [3.4912706202920467, 0.0], 'a2': [2.474816523716905, 0.0], 'a3': [0.453048848138331, 0.0], 'a4': [4.124716826062228, 0.0], 'a5': [1.4107189712183341, 0.0], 'a6': [1.1212127754236525, 0.0], 'a7': [1.0750326766561142, 0.0], 'a8': [5.258284309358138, 0.0], 'a9': [-2.7947467412005316, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.884974628968367, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [-1.0, 0]]], [67, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [11, 67], 'central_character': '737.1', 'coefficient_field': 'CDF', 'conductor': 737, 'conductor_radical': 737, 'conjugate': '2536643490607555583011983663186', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.474816523716905, 0], [2.0, 0]], [[1.0, 0], [-0.453048848138331, 0], [3.0, 0]], [[1.0, 0], [-1.4107189712183341, 0], [5.0, 0]], [[1.0, 0], [-1.0750326766561142, 0], [7.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.884974628968367, 'bad_primes': [11, 67], 'central_character': '1.1', 'conductor': 737, 'conductor_radical': 737, 'degree': 2, 'index': 40, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/737/2/a/f/1/16'], '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': '2-737-1.1-c1-0-40', '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': '2-737-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4258966649402787, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.00105888022366345459772104945', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2536643490607555583011983663186', 'Lhash_array': ['2536643490607555583011983663186'], 'label': '2-737-1.1-c1-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/737/2/a/f/1/16'}