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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_2557.1034', 'a10': [-0.9797528110485052, 0.20021096184413095], 'a2': [0.69571858755884, -0.7183144485008865], 'a3': [-0.946236544480284, 0.3234755043121679], 'a4': [-0.031951293850265454, -0.9994894270682877], 'a5': [-0.825446668500368, -0.5644801125475046], 'a6': [-0.42595722373883965, 0.9047433025696847], 'a7': [-0.9362842187275353, -0.3512433084939397], 'a8': [-0.7401768056152083, -0.6724122964590001], 'a9': [0.7907271962199772, -0.612168686848726], 'algebraic': True, 'analytic_conductor': 11.874658077892345, 'analytic_normalization': 0, 'bad_lfactors': [[2557, [1]]], 'bad_primes': [2557], 'central_character': '2557.1034', 'coeff_info': ['x^1278 - 1', '0.999987914429430 + 0.00491640062222174*I', '\\\\zeta_{1278}'], 'conductor': 2557, 'conductor_radical': 2557, 'conjugate': 'dirichlet_L_2557.685', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^1115', 'a^572', 'a^952', 'a^761', 'a^409', 'a^712', 'a^789', 'a^1144', 'a^598', 'a^310', 'a^246', 'a^46', 'a^549', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 11.874658077892345, 'bad_primes': [2557], 'central_character': '2557.1034', 'conductor': 2557, 'conductor_radical': 2557, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/2557/1034'], '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': '1-2557-2557.1034-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': '1-2557-2557.1034-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.874658077892345, 'root_angle': 0.22586989250206813, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.0375054929181', 'prec': 50}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_2557.1034', 'Lhash_array': ['dirichlet_L_2557.1034'], 'label': '1-2557-2557.1034-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/2557/1034'}
Lfunction data - 1-2557-2557.1034-r0-0-0