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lfunc_lfunctions • Show schema
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{'Lhash': '1727033856911425573067864520499', 'a10': [-1.1020358543329856, -1.9087820914673053], 'a2': [-0.7531889349919065, 0.2741383531157157], 'a3': [0.0, 0.0], 'a4': [-1.0399471510927105, 0.8726192709257564], 'a5': [0.47750490299199067, 2.708064875116795], 'a6': [0.0, 0.0], 'a7': [1.8207603012040763, 1.5277992972025738], 'a8': [1.3455852004439544, -2.3306219330816806], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6467882563723715, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '81.19', 'coefficient_field': 'CDF', 'conductor': 81, 'conductor_radical': 3, 'conjugate': '3671541761691943415670119366160', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7531889349919065, -0.2741383531157157], [1.532088886237956, -1.2855752193730787]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.47750490299199067, -2.708064875116795], [-4.698463103929542, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.6467882563723715, 'bad_primes': [3], 'central_character': '27.7', 'conductor': 81, 'conductor_radical': 3, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/81/2/e/a/19/1'], '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': '2-3e4-27.7-c1-0-0', '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': '2-3e4-27.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8042314693994332, 'root_angle': -0.20122961156900118, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.36238949171048255313363429519', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1727033856911425573067864520499', 'Lhash_array': ['1727033856911425573067864520499'], 'label': '2-3e4-27.7-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/81/2/e/a/19/1'}