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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_1441.1066', 'a10': [0.8854560256532099, -0.46472317204376856], 'a2': [-0.7485107481711011, -0.6631226582407952], 'a3': [-0.3546048870425356, 0.9350162426854148], 'a4': [0.12053668025532305, 0.992708874098054], 'a5': [-0.3546048870425356, 0.9350162426854148], 'a6': [0.8854560256532099, -0.46472317204376856], 'a7': [-0.8854560256532099, -0.46472317204376856], 'a8': [0.5680647467311558, -0.8229838658936564], 'a9': [-0.7485107481711011, -0.6631226582407952], 'algebraic': True, 'analytic_conductor': 6.691975866344493, 'analytic_normalization': 0, 'bad_lfactors': [[11, [1]], [131, [1]]], 'bad_primes': [11, 131], 'central_character': '1441.1066', 'coeff_info': ['x^26 - 1', '0.970941817426052 + 0.239315664287558*I', '\\\\zeta_{26}'], 'conductor': 1441, 'conductor_radical': 1441, 'conjugate': 'dirichlet_L_1441.1099', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^16', 'a^8', 'a^6', 'a^8', 'a^24', 'a^15', 'a^22', 'a^16', 'a^24', 0, 'a^14', 'a^15', 'a^5', 'a^16', 'a^12', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 6.691975866344493, 'bad_primes': [11, 131], 'central_character': '1441.1066', 'conductor': 1441, 'conductor_radical': 1441, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/1441/1066'], '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': '1-1441-1441.1066-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': '1-1441-1441.1066-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.691975866344493, 'root_angle': 0.03919598955498554, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.361164747807', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_1441.1066', 'Lhash_array': ['dirichlet_L_1441.1066'], 'label': '1-1441-1441.1066-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/1441/1066'}
Lfunction data - 1-1441-1441.1066-r0-0-0