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lfunc_lfunctions • Show schema
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{'Lhash': '4314246686954451894929847887999', 'a10': [0.5186864930649455, -2.6467260395207277], 'a2': [0.3846294046576868, -1.962666609761493], 'a3': [0.0, -4.912519888076604], 'a4': [-3.7041204421453466, -1.5097985793081674], 'a5': [1.348535724996291, 0.0], 'a6': [-9.641638754117219, -1.8894995999199506], 'a7': [0.0, -2.6807773277462865], 'a8': [-4.387944899516212, 6.68924058162133], 'a9': [-15.13285165074817, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.46867633550887, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.3846294046576868, 1.962666609761493]]], [41, [[1.0, 0], [-6.4031242374328485, 0]]]], 'bad_primes': [2, 41], 'central_character': '164.83', 'coefficient_field': 'CDF', 'conductor': 164, 'conductor_radical': 82, 'conjugate': '1112406603349044363280070373764', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.3846294046576868, 1.962666609761493]], [[1.0, 0], [0, 4.912519888076604], [-9.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.46867633550887, 'bad_primes': [2, 41], 'central_character': '4.3', 'conductor': 164, 'conductor_radical': 82, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/164/3/c/a/83/23'], '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': '2-164-4.3-c2-0-37', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-164-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.113924392098466, 'root_angle': -0.4384005639149913, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '3.40334054681764006488869668122', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4314246686954451894929847887999', 'Lhash_array': ['4314246686954451894929847887999'], 'label': '2-164-4.3-c2-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/164/3/c/a/83/23'}