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lfunc_lfunctions • Show schema
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{'Lhash': '1809042564361181604825903337888', 'a10': [-0.7368747432374521, 0.0], 'a2': [-1.0, 0.0], 'a3': [0.49050021321875653, 0.0], 'a4': [1.0, 0.0], 'a5': [0.7368747432374521, 0.0], 'a6': [-0.49050021321875653, 0.0], 'a7': [-0.6889330432382798, 0.0], 'a8': [-1.0, 0.0], 'a9': [-2.7594095408323542, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.21165217538452, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [2017, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 2017], 'central_character': '4034.1', 'coefficient_field': 'CDF', 'conductor': 4034, 'conductor_radical': 4034, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [-0.49050021321875653, 0], [3.0, 0]], [[1.0, 0], [-0.7368747432374521, 0], [5.0, 0]], [[1.0, 0], [0.6889330432382798, 0], [7.0, 0]], [[1.0, 0], [-3.297264087769283, 0], [11.0, 0]], [[1.0, 0], [-1.455898797128676, 0], [13.0, 0]], [[1.0, 0], [2.2535207573200595, 0], [17.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 32.21165217538452, 'bad_primes': [2, 2017], 'central_character': '1.1', 'conductor': 4034, 'conductor_radical': 4034, 'degree': 2, 'index': 122, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4034/2/a/b/1/21'], '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': '2-4034-1.1-c1-0-122', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-4034-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.675531003825503, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.42708295490530223086844239254', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1809042564361181604825903337888', 'Lhash_array': ['1809042564361181604825903337888'], 'label': '2-4034-1.1-c1-0-122', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4034/2/a/b/1/21'}