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lfunc_lfunctions • Show schema
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{'Lhash': '2727692649234751422587844979173', 'a10': [-1.6932305990505636e-60, 2.628379002761701], 'a2': [0.5304420243032633, 0.5891155505825351], 'a3': [0.0, 0.0], 'a4': [0.14336853574408726, -1.364060500337484], 'a5': [2.4639643427631963, 2.218563459229651], 'a6': [0.0, 0.0], 'a7': [-1.940062763866646, -4.357452311326738], 'a8': [2.1623071562242338, -1.5710081076072375], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [2.3207348680632847, 2.3694281318823087]]]], 'bad_primes': [3, 11], 'central_character': '891.431', 'coefficient_field': 'CDF', 'conductor': 891, 'conductor_radical': 33, 'conjugate': '1007444514438858913511469304654', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5304420243032633, -0.5891155505825351], [-0.20905692653530694, 1.9890437907365466]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'bad_primes': [3, 11], 'central_character': '99.2', 'conductor': 891, 'conductor_radical': 33, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/891/2/u/b/431/3'], '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': '2-891-99.2-c1-0-41', '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': '2-891-99.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.66733402859411, 'root_angle': 0.17459586424252826, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.15177009244002584168835809390', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2727692649234751422587844979173', 'Lhash_array': ['2727692649234751422587844979173'], 'label': '2-891-99.2-c1-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/891/2/u/b/431/3'}