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lfunc_lfunctions • Show schema
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{'Lhash': '1693184611503059869020212198996', 'a10': [-5.933199069004206e-61, 6.357589261293921], 'a2': [-1.0651489927654154, 1.2693951387762878], 'a3': [0.0, 0.0], 'a4': [-0.12952528622583162, -0.734574400953339], 'a5': [2.939026951869968, -2.4661364313341756], 'a6': [0.0, 0.0], 'a7': [2.022330462062209, 1.7059248231429345], 'a8': [-1.7997138098799845, -1.039065252598496], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.5275177946066, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-2.022330462062209, -1.7059248231429345]]]], 'bad_primes': [3, 7], 'central_character': '567.143', 'coefficient_field': 'CDF', 'conductor': 567, 'conductor_radical': 21, 'conjugate': '1559374070895987099153460173392', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0651489927654154, -1.2693951387762878], [-0.3472963553338607, -1.969615506024416]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.5275177946066, 'bad_primes': [3, 7], 'central_character': '189.101', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/ba/a/143/5'], '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': '2-567-189.101-c1-0-12', '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': '2-567-189.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': -0.12974743806714029, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.33568714533659100642811355412', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1693184611503059869020212198996', 'Lhash_array': ['1693184611503059869020212198996'], 'factors': ['2-567-189.101-c1-0-12'], 'label': '2-567-189.101-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/567/2/ba/a/143/5'}