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lfunc_lfunctions • Show schema
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{'Lhash': '1468986487989769331447181320002', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.17364817766693036, 0.984807753012208], 'a4': [0.0, 0.0], 'a5': [0.8350545237582742, -0.7006939428984871], 'a6': [0.0, 0.0], 'a7': [2.7205010159605365, -2.2827713991099015], 'a8': [0.0, 0.0], 'a9': [-0.9396926207859084, 0.3420201433256687], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.090715699489701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.17364817766693036, -0.984807753012208]]], [37, [[1.0, 0], [-1.1859714851253478, 5.966026452880475]]]], 'bad_primes': [2, 3, 37], 'central_character': '888.625', 'coefficient_field': 'CDF', 'conductor': 888, 'conductor_radical': 222, 'conjugate': '1693771657995400097673820412631', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.17364817766693036, -0.984807753012208]], [[1.0, 0], [-0.8350545237582742, 0.7006939428984871], 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{'__RealLiteral__': 0, 'data': '3.38336095884338403603869589702', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.090715699489701, 'bad_primes': [2, 3, 37], 'central_character': '37.33', 'conductor': 888, 'conductor_radical': 222, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/888/2/bo/c/625/3'], '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': '2-888-37.33-c1-0-9', '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': '2-888-37.33-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': -0.07419661786910953, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.15882601067304442138272185639', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1468986487989769331447181320002', 'Lhash_array': ['1468986487989769331447181320002'], 'label': '2-888-37.33-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/888/2/bo/c/625/3'}