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lfunc_lfunctions • Show schema
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{'Lhash': '879785773371114862536879791147', 'a10': [-96689.71363289325, -9.793214651876364e-58], 'a2': [-21.215268145823064, 36.745922324763114], 'a3': [86.05045569226748, 149.04376127346177], 'a4': [-644.1752049983496, -1115.7441840332385], 'a5': [1139.388304784753, 1973.4784334369656], 'a6': [-7302.333966326884, -8.383311946336818e-59], 'a7': [4123.022604637242, 7141.28463198667], 'a8': [32940.96424639929, 0.0], 'a9': [-4967.861849693776, 8604.589128652722], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.05632593806331, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[37, [[1.0, 0], [-10627637.921494301, 4124930.5454387097]]]], 'bad_primes': [37], 'central_character': '37.10', 'coefficient_field': 'CDF', 'conductor': 37, 'conductor_radical': 37, 'conjugate': '3160823078810650247065142346690', 'degree': 2, 'euler_factors': [[[1.0, 0], [21.215268145823064, -36.745922324763114], [-256.0, -443.40500673763256]], [[1.0, 0], 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'1.42012069966680954798395237883', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.63813346708746732732215983961', 'prec': 103}}
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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': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/37/10/c/a/10/1'], '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': '2-37-37.10-c9-0-5', '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': 0.25099672804944, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.69402860158210561346809755278', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '879785773371114862536879791147', 'Lhash_array': ['879785773371114862536879791147'], 'label': '2-37-37.10-c9-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/37/10/c/a/10/1'}