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lfunc_lfunctions • Show schema
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{'Lhash': '5235561787063543392502750388724', 'a10': [2.0, 5.027808919716415], 'a2': [0.0, -2.419870349137736], 'a3': [0.0, -0.5370800561629734], 'a4': [-3.8557725066359887, 0.0], 'a5': [-2.077718304828999, 0.826490560005685], 'a6': [-1.2996641030220093, 0.0], 'a7': [0.0, -3.1867595782641023], 'a8': [0.0, 4.490728863553442], 'a9': [2.7115450132719774, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.758578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [2.077718304828999, -0.826490560005685]]], [19, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [5, 19], 'central_character': '95.39', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '1640297490998231693556753679674', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.419870349137736], [-2.0, 0]], [[1.0, 0], [0, 0.5370800561629734], [-3.0, 0]], [[1.0, 0], [2.077718304828999, -0.826490560005685]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.758578819202164, 'bad_primes': [5, 19], 'central_character': '5.4', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/2/b/b/39/1'], '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': '2-95-5.4-c1-0-7', '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': '2-95-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8709643042066443, 'root_angle': 0.4397443086675715, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '4.13013001068348509602005960455', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5235561787063543392502750388724', 'Lhash_array': ['5235561787063543392502750388724'], 'label': '2-95-5.4-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/2/b/b/39/1'}