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lfunc_lfunctions • Show schema
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{'Lhash': '398848373311379318299397049415', 'a10': [0.0, 2.0], 'a2': [1.0, 0.0], 'a3': [0.0, -2.0], 'a4': [-1.0, 0.0], 'a5': [0.0, 2.0], 'a6': [0.0, -2.0], 'a7': [0.0, 2.0], 'a8': [-3.0, 0.0], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.380047121500306, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [-1.0, -4.0]]], [47, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [17, 47], 'central_character': '799.424', 'coefficient_field': 'CDF', 'conductor': 799, 'conductor_radical': 799, 'conjugate': '2509398768342687163985794207112', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0], [2.0, 0]], [[1.0, 0], [0, 2.0], [-3.0, 0]], [[1.0, 0], [0, -2.0], [-5.0, 0]], [[1.0, 0], [0, -2.0], [-7.0, 0]], [[1.0, 0], [0, 0], [-11.0, 0]], [[1.0, 0], [6.0, 0], [13.0, 0]], [[1.0, 0], [-1.0, -4.0]], [[1.0, 0], [8.0, 0], [19.0, 0]], [[1.0, 0], [0, -8.0], [-23.0, 0]], [[1.0, 0], [0, -6.0], [-29.0, 0]], [[1.0, 0], [0, 4.0], 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False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.288989565189', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.31463588881634273490302445604', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.68830776627265719885343016017', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.03603393227382306558746763330', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.380047121500306, 'bad_primes': [17, 47], 'central_character': '17.16', 'conductor': 799, 'conductor_radical': 799, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/799/2/b/a/424/1'], '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': '2-799-17.16-c1-0-2', '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': '2-799-17.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.525875515836104, 'root_angle': -0.2889895651886847, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.31463588881634273490302445604', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '398848373311379318299397049415', 'Lhash_array': ['398848373311379318299397049415'], 'label': '2-799-17.16-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/799/2/b/a/424/1'}