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lfunc_lfunctions • Show schema
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{'Lhash': '1491708844841888764398411106062', 'a10': [51740.47205257082, 8.60501624978339e-58], 'a2': [-18.33357521956684, 31.7546837646755], 'a3': [82.93155883237247, 143.6416734485566], 'a4': [-416.2399606630306, -720.9487600088399], 'a5': [-705.5425828420779, -1222.0356003858526], 'a6': [-6081.727887716934, -1.1097403710996185e-58], 'a7': [-777.4296765818691, -1346.5476991516375], 'a8': [11751.085487984416, 0.0], 'a9': [-3913.786900734512, 6778.877762069705], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.05632593806331, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[37, [[1.0, 0], [11153809.297609786, 2356751.5668034465]]]], 'bad_primes': [37], 'central_character': '37.10', 'coefficient_field': 'CDF', 'conductor': 37, 'conductor_radical': 37, 'conjugate': '803015698512044514224410159899', 'degree': 2, 'euler_factors': [[[1.0, 0], [18.33357521956684, -31.7546837646755], [-256.0, -443.40500673763256]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.05632593806331, 'bad_primes': [37], 'central_character': '37.10', 'conductor': 37, 'conductor_radical': 37, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/37/10/c/a/10/4'], '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': '2-37-37.10-c9-0-13', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-37-37.10-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.365355190366909, 'root_angle': -0.15693741885055487, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '1.17675078966816221753981228363', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1491708844841888764398411106062', 'Lhash_array': ['1491708844841888764398411106062'], 'label': '2-37-37.10-c9-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/37/10/c/a/10/4'}