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lfunc_lfunctions • Show schema
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{'Lhash': '3316942633610235704093584469124', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.7590341831669725, -1.7590341831669725], 'a4': [0.0, 0.0], 'a5': [-2.075839837406024, -0.8311973107741217], 'a6': [0.0, 0.0], 'a7': [0.0, -4.715348221538677], 'a8': [0.0, 0.0], 'a9': [0.0, -3.1884025150997957], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.152220905106582, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.075839837406024, 0.8311973107741217]]], [13, [[1.0, 0], [-1.5296073785464201, -3.265011679534447]]]], 'bad_primes': [2, 5, 13], 'central_character': '520.57', 'coefficient_field': 'CDF', 'conductor': 520, 'conductor_radical': 130, 'conjugate': '1049794416514828764769377479707', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.7590341831669725, 1.7590341831669725], [0, -3.0]], [[1.0, 0], [2.075839837406024, 0.8311973107741217]], [[1.0, 0], [0, 4.715348221538677], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.152220905106582, 'bad_primes': [2, 5, 13], 'central_character': '65.57', 'conductor': 520, 'conductor_radical': 130, 'degree': 2, 'index': 20, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/520/2/w/f/57/9'], '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': '2-520-65.57-c1-0-20', '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': '2-520-65.57-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.037699905556896, 'root_angle': 0.35599175545583356, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.61660636851593743469590914011', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3316942633610235704093584469124', 'Lhash_array': ['3316942633610235704093584469124'], 'label': '2-520-65.57-c1-0-20', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/520/2/w/f/57/9'}