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lfunc_lfunctions • Show schema
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{'Lhash': '914166228699548176490373547574', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 3.222989462141714], 'a4': [0, 0], 'a5': [0, -0.7250634640794085], 'a6': [0, 0], 'a7': [-1.0, 0], 'a8': [0, 0], 'a9': [-7.387661073076535, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28.618384084426904, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 7], 'central_character': '3584.1793', 'coefficient_field': 'CDF', 'conductor': 3584, 'conductor_radical': 14, 'conjugate': '1049851463679718060396152980853', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -3.222989462141714], [-3.0, 0]], [[1.0, 0], [0, 0.7250634640794085], [-5.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 2.218484642220934], [-11.0, 0]], [[1.0, 0], [0, 1.7504580485617254], [-13.0, 0]], [[1.0, 0], [-1.6910160558009222, 0], [17.0, 0]], [[1.0, 0], [0, -1.802405122340603], [-19.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 28.618384084426904, 'bad_primes': [2, 7], 'central_character': '8.5', 'conductor': 3584, 'conductor_radical': 14, 'degree': 2, 'index': 36, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3584/2/b/i/1793/12'], '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': '2-3584-8.5-c1-0-36', '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': '2-3584-8.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.3496153211634665, 'root_angle': -0.25, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.72114999869440407624861409547', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '914166228699548176490373547574', 'Lhash_array': ['914166228699548176490373547574'], 'label': '2-3584-8.5-c1-0-36', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3584/2/b/i/1793/12'}