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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_664.411', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [0.03830273369003535, -0.99926618105081], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [-0.5435675500012211, -0.83936542613195], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.33801687840850275, -0.9411400479795615], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [-0.9970658011837404, -0.07654925283649565], 'algebraic': True, 'analytic_conductor': 3.083603036261446, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [83, [1]]], 'bad_primes': [2, 83], 'central_character': '664.411', 'coeff_info': ['x^82 - 1', '0.997065801183740 + 0.0765492528364956*I', '\\\\zeta_{82}'], 'conductor': 664, 'conductor_radical': 166, 'conjugate': 'dirichlet_L_664.643', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^62', 0, 'a^54', 0, 'a^57', 0, 'a^42', 0, 'a^48', 0, 'a^72', 0, 'a^116', 0, 'a^30', 0, 'a^53', 0, 'a^119', 0, 'a^79', 0, 'a^26', 0, 'a^22', 0, 'a^65', 0, 'a^117', 0, 'a^28', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 3.083603036261446, 'bad_primes': [2, 83], 'central_character': '664.411', 'conductor': 664, 'conductor_radical': 166, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/664/411'], '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': '1-664-664.411-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': '1-664-664.411-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.083603036261446, 'root_angle': 0.3699462396486881, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.323850566246', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_664.411', 'Lhash_array': ['dirichlet_L_664.411'], 'factors': ['1-664-664.411-r0-0-0'], 'label': '1-664-664.411-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/664/411'}
Lfunction data - 1-664-664.411-r0-0-0