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lfunc_lfunctions • Show schema
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{'Lhash': '1512094337930669537586564424650', 'a10': [-0.9352875239624273, 0.539988503729406], 'a2': [0.23483965574809876, 0.48149264833548633], 'a3': [0.0, 0.0], 'a4': [1.0546374441620818, -1.349874371652752], 'a5': [0.14062727277965867, 2.0110636946134886], 'a6': [0.0, 0.0], 'a7': [2.772427073616085, -0.09681528677042803], 'a8': [1.9456315076409365, 0.41355674354101885], '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], [-3.285094367903655, 0.45624006177415644]]]], 'bad_primes': [3, 11], 'central_character': '891.8', 'coefficient_field': 'CDF', 'conductor': 891, 'conductor_radical': 33, 'conjugate': '2032521445375274753190142593356', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.23483965574809876, -0.48149264833548633], [-1.2313229506513166, 1.5760215072134438]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'-0.11849080204', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.19283210819955449825537839956', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.42226996737326103248176164384', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.57041420988184494520801684660', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'bad_primes': [3, 11], 'central_character': '297.272', 'conductor': 891, 'conductor_radical': 33, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/891/2/bb/a/8/19'], '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': '2-891-297.272-c1-0-17', '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': '2-891-297.272-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.66733402859411, 'root_angle': -0.11849080204044116, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19283210819955449825537839956', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1512094337930669537586564424650', 'Lhash_array': ['1512094337930669537586564424650'], 'factors': ['2-891-297.272-c1-0-17'], 'label': '2-891-297.272-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/891/2/bb/a/8/19'}