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lfunc_lfunctions • Show schema
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{'Lhash': '1206854886819810261053793032497', 'a10': [253644.18864449736, 0.0], 'a2': [-61.57465404254058, 0.0], 'a3': [-243.0, 0.0], 'a4': [1743.4380204585589, 0.0], 'a5': [-4119.295391724981, 0.0], 'a6': [14962.640932337361, 0.0], 'a7': [24060.990923446407, 0.0], 'a8': [18753.29852477556, 0.0], 'a9': [59049.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 108.33638845890205, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [243.0, 0]]], [47, [[1.0, 0], [-229345007.0, 0]]]], 'bad_primes': [3, 47], 'central_character': '141.1', 'coefficient_field': 'CDF', 'conductor': 141, 'conductor_radical': 141, 'degree': 2, 'euler_factors': [[[1.0, 0], [61.57465404254058, 0], [2048.0, 0]], [[1.0, 0], [243.0, 0]], [[1.0, 0], [4119.295391724981, 0], [48828125.0, 0]], [[1.0, 0], [-24060.990923446407, 0], [1977326743.0, 0]], [[1.0, 0], [-23646.482011361062, 0], [285311670611.0, 0]], [[1.0, 0], [362347.2429904934, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 108.33638845890205, 'bad_primes': [3, 47], 'central_character': '1.1', 'conductor': 141, 'conductor_radical': 141, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/141/12/a/a/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': '2-141-1.1-c11-0-41', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 1, 'prelabel': '2-141-1.1-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.408476759781042, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '0.952040638487077271869195031906', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1206854886819810261053793032497', 'Lhash_array': ['1206854886819810261053793032497'], 'label': '2-141-1.1-c11-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/141/12/a/a/1/4'}