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lfunc_lfunctions • Show schema
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{'Lhash': '603612755401535683840356427547', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.224744871391589, 1.224744871391589], 'a4': [0.0, 0.0], 'a5': [-3.3626275382732755, -3.700369716507556], 'a6': [0.0, 0.0], 'a7': [8.788252331327383, 8.788252331327383], 'a8': [0.0, 0.0], 'a9': [0.0, -3.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.539526344647126, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.224744871391589, -1.224744871391589]]], [5, [[1.0, 0], [3.3626275382732755, 3.700369716507556]]]], 'bad_primes': [2, 3, 5], 'central_character': '240.97', 'coefficient_field': 'CDF', 'conductor': 240, 'conductor_radical': 30, 'conjugate': '2398568084010727021782112395725', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.224744871391589, -1.224744871391589]], [[1.0, 0], [3.3626275382732755, 3.700369716507556]], [[1.0, 0], [-8.788252331327383, -8.788252331327383], [0, 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.47616650462900462278493896198', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.53002479900066463083242202422', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.22954568454200379604459161996', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.539526344647126, 'bad_primes': [2, 3, 5], 'central_character': '5.2', 'conductor': 240, 'conductor_radical': 30, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/240/3/bg/e/97/1'], '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': '2-240-5.2-c2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-240-5.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.557249761882309, 'root_angle': -0.33049933229423134, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.47616650462900462278493896198', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '603612755401535683840356427547', 'Lhash_array': ['603612755401535683840356427547'], 'label': '2-240-5.2-c2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/240/3/bg/e/97/1'}