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lfunc_lfunctions • Show schema
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{'Lhash': '1132300781250598643719938408998', 'a10': [-23.976930007127766, 0.0], 'a2': [-4.54301768335178, 0.0], 'a3': [0.7398681249733613, 0.0], 'a4': [12.639009671246976, 0.0], 'a5': [5.277754056514676, 0.0], 'a6': [-3.361233975102305, 0.0], 'a7': [-32.85279034389828, 0.0], 'a8': [-21.075102969714944, 0.0], 'a9': [-26.452595157648403, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 109.68455070067185, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [-11.0, 0]]], [13, [[1.0, 0], [0, 0]]]], 'bad_primes': [11, 13], 'central_character': '1859.1', 'coefficient_field': 'CDF', 'conductor': 1859, 'conductor_radical': 143, 'degree': 2, 'euler_factors': [[[1.0, 0], [4.54301768335178, 0], [8.0, 0]], [[1.0, 0], [-0.7398681249733613, 0], [27.0, 0]], [[1.0, 0], [-5.277754056514676, 0], [125.0, 0]], [[1.0, 0], [32.85279034389828, 0], [343.0, 0]], [[1.0, 0], [-11.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [83.16414242053212, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 109.68455070067185, 'bad_primes': [11, 13], 'central_character': '1.1', 'conductor': 1859, 'conductor_radical': 143, 'degree': 2, 'index': 204, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1859/4/a/n/1/4'], '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': '2-1859-1.1-c3-0-204', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-1859-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.473039229405753, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.893227819279806117809988719578', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1132300781250598643719938408998', 'Lhash_array': ['1132300781250598643719938408998'], 'label': '2-1859-1.1-c3-0-204', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1859/4/a/n/1/4'}