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lfunc_lfunctions • Show schema
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{'Lhash': '2279033940271842709532446997114', 'a10': [1.4353197826380513, 4.417460065607093], 'a2': [1.007623544655895, 1.386874829505452], 'a3': [0.0, 0.0], 'a4': [-0.2900825962209713, 0.8927824308103399], 'a5': [2.5768729729727635, 0.8372767836090966], 'a6': [0.0, 0.0], 'a7': [-0.2523158570460336, -1.593059624600926], 'a8': [1.730266750873058, -0.5621977470955718], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9464798345852476, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [41, [[1.0, 0], [5.968655245301825, -2.3184379574901315]]]], 'bad_primes': [3, 41], 'central_character': '369.46', 'coefficient_field': 'CDF', 'conductor': 369, 'conductor_radical': 123, 'conjugate': '2430269060467528343160269805053', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.007623544655895, -1.386874829505452], [-0.6180339887498949, 1.902113032590307]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.5768729729727635, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.9464798345852476, 'bad_primes': [3, 41], 'central_character': '41.5', 'conductor': 369, 'conductor_radical': 123, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/369/2/u/a/46/3'], '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': '2-369-41.5-c1-0-9', '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': '2-369-41.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7165313380725817, 'root_angle': -0.17272679343374825, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.79784077715225519159350378738', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2279033940271842709532446997114', 'Lhash_array': ['2279033940271842709532446997114'], 'label': '2-369-41.5-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/369/2/u/a/46/3'}