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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_4024.1267', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [0.7137133020936781, -0.7004379504385368], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [-0.9055717486612038, -0.424193125859778], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.9996867005594191, 0.02502999649665096], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [0.018773355170923524, -0.9998237650384323], 'algebraic': True, 'analytic_conductor': 18.68737743662057, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [503, [1]]], 'bad_primes': [2, 503], 'central_character': '4024.1267', 'coeff_info': ['x^502 - 1', '0.999921672072223 + 0.0125159785989932*I', '\\\\zeta_{502}'], 'conductor': 4024, 'conductor_radical': 1006, 'conjugate': 'dirichlet_L_4024.3627', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^440', 0, 'a^286', 0, 'a^751', 0, 'a^378', 0, 'a^466', 0, 'a^575', 0, 'a^726', 0, 'a^485', 0, 'a^263', 0, 'a^689', 0, 'a^685', 0, 'a^70', 0, 'a^316', 0, 'a^596', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 18.68737743662057, 'bad_primes': [2, 503], 'central_character': '4024.1267', 'conductor': 4024, 'conductor_radical': 1006, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/4024/1267'], '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': '1-4024-4024.1267-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': '1-4024-4024.1267-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 18.68737743662057, 'root_angle': 0.27905217440929386, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.11024679027', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_4024.1267', 'Lhash_array': ['dirichlet_L_4024.1267'], 'label': '1-4024-4024.1267-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/4024/1267'}
Lfunction data - 1-4024-4024.1267-r0-0-0