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lfunc_lfunctions • Show schema
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{'Lhash': '955920574652403515996344055678', 'a10': [3.743528412234157, -1.5145826340616135], 'a2': [0.5304055728031652, 1.310980521723853], 'a3': [-1.0, 0.0], 'a4': [-1.4373398566786924, 1.3907027491174655], 'a5': [0.0, -2.85551795026799], 'a6': [-0.5304055728031652, -1.310980521723853], 'a7': [-4.915990553937817, 0.0], 'a8': [-2.5855572855952933, -1.1466880669585342], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.419972322510946, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5304055728031652, -1.310980521723853]]], [3, [[1.0, 0], [1.0, 0]]], [67, [[1.0, 0], [-6.664942822675691, 4.7516878233385444]]]], 'bad_primes': [2, 3, 67], 'central_character': '804.535', 'coefficient_field': 'CDF', 'conductor': 804, 'conductor_radical': 402, 'conjugate': '1340908041239820123733402484162', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5304055728031652, -1.310980521723853]], [[1.0, 0], [1.0, 0]], 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'2.76827198399842470554765678810', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.34453813619880266840154395370', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.419972322510946, 'bad_primes': [2, 3, 67], 'central_character': '268.267', 'conductor': 804, 'conductor_radical': 402, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/804/2/e/a/535/22'], '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': '2-804-268.267-c1-0-14', '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': '2-804-268.267-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.533766430141292, 'root_angle': -0.22094922173541506, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.75408836983968483008820270384', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '955920574652403515996344055678', 'Lhash_array': ['955920574652403515996344055678'], 'label': '2-804-268.267-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/804/2/e/a/535/22'}