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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_4005.203', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.9718115683235417, 0.23575893550942723], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [0.8888354486549235, 0.4582265217274104], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.9450008187146685, -0.32706796331742166], 'a8': [0.7557495743542583, 0.6548607339452851], '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': '4005.203', 'coeff_info': ['x^132 - 1', '0.998867339183008 + 0.0475819158237423*I', '\\\\zeta_{132}'], 'conductor': 4005, 'conductor_radical': 1335, 'conjugate': 'dirichlet_L_4005.947', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^5', 0, 'a^10', 0, 0, 'a^125', 'a^15', 0, 0, 'a^62', 0, 'a^67', 'a^130', 0, 'a^20', 'a^105', 0, 'a^24', 0, 0, 'a^67', 'a^13', 0, 0, 'a^72', 0, 'a^3', 'a^26', 0, 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 18.59914180757092, 'bad_primes': [3, 5, 89], 'central_character': '4005.203', 'conductor': 4005, 'conductor_radical': 1335, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/4005/203'], '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': '1-4005-4005.203-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': '1-4005-4005.203-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 18.59914180757092, 'root_angle': 0.15574831729789473, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.09677082544', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_4005.203', 'Lhash_array': ['dirichlet_L_4005.203'], 'label': '1-4005-4005.203-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/4005/203'}
Lfunction data - 1-4005-4005.203-r0-0-0