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lfunc_lfunctions • Show schema
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{'Lhash': '47624786354891712981238052915', 'a10': [2078.7497107109575, -861.0463229556265], 'a2': [-0.7631717521059223, 0.7631717521059223], 'a3': [-66.0099102527697, 159.36202058326745], 'a4': [0.0, 510.83513775357517], 'a5': [-1926.0382905646143, -797.7911816017552], 'a6': [-71.24369360371132, -171.9974913316332], 'a7': [7148.8104741979205, -2961.1342532476156], 'a8': [-780.5988841948982, -780.5988841948982], 'a9': [-7120.96257870823, -7120.96257870823], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.755609214785846, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [277938.3927622421, 203317.79638226863]]]], 'bad_primes': [17], 'central_character': '17.8', 'coefficient_field': 'CDF', 'conductor': 17, 'conductor_radical': 17, 'conjugate': '4827439913808556313166077244674', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7631717521059223, -0.7631717521059223], [0, -512.0]], [[1.0, 0], [66.0099102527697, 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'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.86928294246724870100065896724', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.96314017680507510422272652968', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.755609214785846, 'bad_primes': [17], 'central_character': '17.8', 'conductor': 17, 'conductor_radical': 17, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/17/10/d/a/8/7'], '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': '2-17-17.8-c9-0-0', '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': '2-17-17.8-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9589878699964025, 'root_angle': 0.33842812453661325, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.03756933207487716789402217147', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '47624786354891712981238052915', 'Lhash_array': ['47624786354891712981238052915'], 'label': '2-17-17.8-c9-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/10/d/a/8/7'}