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lfunc_lfunctions • Show schema
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{'Lhash': '856339896886534509502859442432', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.18081189685780233, -0.10439179732353902], 'a4': [0.0, 0.0], 'a5': [-1.600814187210303, 1.5612155322139916], 'a6': [0.0, 0.0], 'a7': [-1.728902065662356, 2.9945462190379835], 'a8': [0.0, 0.0], 'a9': [-1.4782047053031222, 2.560325653572387], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.600814187210303, -1.5612155322139916]]], [13, [[1.0, 0], [3.184571958895973, 1.6907103355138824]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.49', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '3202676177215749763109355218985', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.18081189685780233, 0.10439179732353902], [1.5, -2.598076211353316]], [[1.0, 0], [1.600814187210303, 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'11.95527757564817235353369122552854'], 'prelabel': '2-260-65.49-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.586575785839504, 'root_number': '-0.2686448165947731 - 0.963239306982829*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.29328789292', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.67553306623477952213714326912', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.23276321109981839718591749644', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.19881617576222622611007641750', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '65.49', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/z/a/49/5'], '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': '2-260-65.49-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': '2-260-65.49-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.293287892919752, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.67553306623477952213714326912', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '856339896886534509502859442432', 'Lhash_array': ['856339896886534509502859442432'], 'label': '2-260-65.49-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/z/a/49/5'}