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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_4024.1277', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [-0.06878532179827576, -0.997631484820476], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [-0.5601149116377093, -0.8284149236711523], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.6496859533643848, 0.7602027111244805], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [-0.9905371590102153, 0.13724480543893622], 'algebraic': True, 'analytic_conductor': 18.68737743662057, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [503, [1]]], 'bad_primes': [2, 503], 'central_character': '4024.1277', 'coeff_info': ['x^502 - 1', '0.999921672072223 + 0.0125159785989932*I', '\\\\zeta_{502}'], 'conductor': 4024, 'conductor_radical': 1006, 'conjugate': 'dirichlet_L_4024.2773', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^371', 0, 'a^329', 0, 'a^182', 0, 'a^240', 0, 'a^515', 0, 'a^385', 0, 'a^198', 0, 'a^292', 0, 'a^665', 0, 'a^553', 0, 'a^164', 0, 'a^156', 0, 'a^611', 0, 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{'__RealLiteral__': 0, 'data': '2.28193349286', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 18.68737743662057, 'bad_primes': [2, 503], 'central_character': '4024.1277', 'conductor': 4024, 'conductor_radical': 1006, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/4024/1277'], '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': '1-4024-4024.1277-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': '1-4024-4024.1277-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 18.68737743662057, 'root_angle': -0.12547930571102148, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.571657226746', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_4024.1277', 'Lhash_array': ['dirichlet_L_4024.1277'], 'label': '1-4024-4024.1277-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/4024/1277'}
Lfunction data - 1-4024-4024.1277-r0-0-0