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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_3381.1319', 'a10': [-0.8556459396147774, 0.517561615675607], 'a2': [0.08828470455058088, 0.9960952820601133], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [-0.9844116218848333, 0.17587995536180925], 'a5': [0.44000023457108695, 0.8979976578908145], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [-0.2621016829391022, -0.96504026226914], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 15.701297990361368, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [7, [1]], [23, [1]]], 'bad_primes': [3, 7, 23], 'central_character': '3381.1319', 'coeff_info': ['x^462 - 1', '0.999907521857918 + 0.0135995489615099*I', '\\\\zeta_{462}'], 'conductor': 3381, 'conductor_radical': 483, 'conjugate': 'dirichlet_L_3381.992', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^109', 0, 'a^218', 'a^82', 0, 0, 'a^327', 0, 'a^191', 'a^221', 0, 'a^81', 0, 0, 'a^436', 'a^398', 0, 'a^427', 'a^300', 0, 'a^330', 0, 0, 'a^164', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 15.701297990361368, 'bad_primes': [3, 7, 23], 'central_character': '3381.1319', 'conductor': 3381, 'conductor_radical': 483, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/3381/1319'], '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': '1-3381-3381.1319-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': '1-3381-3381.1319-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 15.701297990361368, 'root_angle': 0.2499780637400104, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.695714622919', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_3381.1319', 'Lhash_array': ['dirichlet_L_3381.1319'], 'label': '1-3381-3381.1319-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/3381/1319'}
Lfunction data - 1-3381-3381.1319-r0-0-0