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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_4235.4078', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.29994909127701064, 0.9539552099769126], 'a3': [-0.4067366430758002, 0.9135454576426009], 'a4': [-0.8200610852841911, 0.5722759967030896], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [-0.9934817353485502, -0.11399140989054063], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [-0.7919022459222751, -0.6106478796354381], 'a9': [-0.6691306063588582, -0.7431448254773942], 'algebraic': True, 'analytic_conductor': 19.66725731711931, 'analytic_normalization': 0, 'bad_lfactors': [[5, [1]], [7, [1]], [11, [1]]], 'bad_primes': [5, 7, 11], 'central_character': '4235.4078', 'coeff_info': ['x^660 - 1', '0.999954685354173 + 0.00951983393957664*I', '\\\\zeta_{660}'], 'conductor': 4235, 'conductor_radical': 385, 'conjugate': 'dirichlet_L_4235.1052', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^133', 'a^209', 'a^266', 0, 'a^342', 0, 'a^399', 'a^418', 0, 0, 'a^475', 'a^123', 0, 0, 'a^532', 'a^137', 'a^551', 'a^424', 0, 0, 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{'__RealLiteral__': 0, 'data': '3.34934592688', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 19.66725731711931, 'bad_primes': [5, 7, 11], 'central_character': '4235.4078', 'conductor': 4235, 'conductor_radical': 385, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/4235/4078'], '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': '1-4235-4235.4078-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': '1-4235-4235.4078-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 19.66725731711931, 'root_angle': 0.49395818821621384, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.807718591777', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_4235.4078', 'Lhash_array': ['dirichlet_L_4235.4078'], 'label': '1-4235-4235.4078-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/4235/4078'}
Lfunction data - 1-4235-4235.4078-r0-0-0