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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_4005.1138', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [-0.9450008187146685, 0.32706796331742166], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [0.7860530947427875, -0.6181589862206052], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.30448649226990704, -0.9525166539358605], 'a8': [-0.5406408174555976, 0.8412535328311812], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 18.59914180757092, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [5, [1]], [89, [1]]], 'bad_primes': [3, 5, 89], 'central_character': '4005.1138', 'coeff_info': ['x^264 - 1', '0.999716794693129 + 0.0237976975461075*I', '\\\\zeta_{264}'], 'conductor': 4005, 'conductor_radical': 1335, 'conjugate': 'dirichlet_L_4005.637', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^118', 0, 'a^236', 0, 0, 'a^211', 'a^90', 0, 0, 'a^196', 0, 'a^149', 'a^65', 0, 'a^208', 'a^36', 0, 'a^243', 0, 0, 'a^50', 'a^23', 0, 0, 'a^3', 0, 'a^183', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 18.59914180757092, 'bad_primes': [3, 5, 89], 'central_character': '4005.1138', 'conductor': 4005, 'conductor_radical': 1335, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/4005/1138'], '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': '1-4005-4005.1138-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': '1-4005-4005.1138-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 18.59914180757092, 'root_angle': -0.45311963975338554, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.202367073726', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_4005.1138', 'Lhash_array': ['dirichlet_L_4005.1138'], 'label': '1-4005-4005.1138-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/4005/1138'}
Lfunction data - 1-4005-4005.1138-r0-0-0