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lfunc_lfunctions • Show schema
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{'Lhash': '695013274948497729668190195937', 'a10': [-2.315777836116241, 0.0], 'a2': [2.0135622312948764, 0.0], 'a3': [-2.8488250589817765, 0.0], 'a4': [2.054432859297202, 0.0], 'a5': [-1.1500900245963672, 0.0], 'a6': [-5.736286542332104, 0.0], 'a7': [-1.0, 0.0], 'a8': [0.10960394962223421, 0.0], 'a9': [5.115804216682522, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 24.090866289820305, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [1.0, 0]]], [431, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [7, 431], 'central_character': '3017.1', 'coefficient_field': 'CDF', 'conductor': 3017, 'conductor_radical': 3017, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0135622312948764, 0], [2.0, 0]], [[1.0, 0], [2.8488250589817765, 0], [3.0, 0]], [[1.0, 0], [1.1500900245963672, 0], [5.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [6.440496027453283, 0], [11.0, 0]], [[1.0, 0], [-4.284955983490513, 0], [13.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 24.090866289820305, 'bad_primes': [7, 431], 'central_character': '1.1', 'conductor': 3017, 'conductor_radical': 3017, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3017/2/a/d/1/39'], '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': '2-3017-1.1-c1-0-30', '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': '2-3017-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.908244725950439, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.54826880121649188609797945150', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '695013274948497729668190195937', 'Lhash_array': ['695013274948497729668190195937'], 'label': '2-3017-1.1-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3017/2/a/d/1/39'}