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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_2557.1082', 'a10': [0.8417364725858967, -0.5398886095470546], 'a2': [0.516933200566259, 0.8560257391879779], 'a3': [0.20261879286906287, 0.9792576906903943], 'a4': [-0.4655601323046476, 0.8850162502510782], 'a5': [-0.027037017259506257, -0.9996344330292495], 'a6': [-0.7335294074360803, 0.6796577141668245], 'a7': [0.9345460503781058, -0.35584221183367626], 'a8': [-0.998260179062844, 0.05896282640290037], 'a9': [-0.9178912495525676, 0.3968320223908677], 'algebraic': True, 'analytic_conductor': 11.874658077892345, 'analytic_normalization': 0, 'bad_lfactors': [[2557, [1]]], 'bad_primes': [2557], 'central_character': '2557.1082', 'coeff_info': ['x^1278 - 1', '0.999987914429430 + 0.00491640062222174*I', '\\\\zeta_{1278}'], 'conductor': 2557, 'conductor_radical': 2557, 'conjugate': 'dirichlet_L_2557.1028', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^209', 'a^278', 'a^418', 'a^953', 'a^487', 'a^1204', 'a^627', 'a^556', 'a^1162', 'a^316', 'a^696', 'a^286', 'a^135', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 11.874658077892345, 'bad_primes': [2557], 'central_character': '2557.1082', 'conductor': 2557, 'conductor_radical': 2557, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/2557/1082'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': True, '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': '1-2557-2557.1082-r0-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-2557-2557.1082-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.874658077892345, 'root_angle': 0.48491233357381996, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.29003195375', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_2557.1082', 'Lhash_array': ['dirichlet_L_2557.1082'], 'label': '1-2557-2557.1082-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/2557/1082'}
Lfunction data - 1-2557-2557.1082-r0-0-0