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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_125.28', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.6845471059286887, -0.7289686274214116], 'a3': [0.8443279255020151, 0.5358267949789967], 'a4': [-0.06279051952931337, -0.9980267284282716], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [0.9685831611286311, -0.2486898871648548], 'a7': [0.9510565162951535, -0.30901699437494745], 'a8': [-0.7705132427757893, -0.6374239897486897], 'a9': [0.42577929156507266, 0.9048270524660196], 'algebraic': True, 'analytic_conductor': 13.433115599328127, 'analytic_normalization': 0, 'bad_lfactors': [[5, [1]]], 'bad_primes': [5], 'central_character': '125.28', 'coeff_info': ['x^100 - 1', '0.998026728428272 + 0.0627905195293134*I', '\\\\zeta_{100}'], 'conductor': 125, 'conductor_radical': 5, 'conjugate': 'dirichlet_L_125.67', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^87', 'a^9', 'a^74', 0, 'a^96', 'a^95', 'a^61', 'a^18', 0, 'a^12', 'a^83', 'a^93', 'a^82', 0, 'a^48', 'a^51', 'a^5', 'a^66', 0, 'a^4', 'a^99', 'a^97', 'a^70', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 13.433115599328127, 'bad_primes': [5], 'central_character': '125.28', 'conductor': 125, 'conductor_radical': 5, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/125/28'], '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': '1-5e3-125.28-r1-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-5e3-125.28-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.433115599328127, 'root_angle': -0.14200000000000002, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.42379532037', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_125.28', 'Lhash_array': ['dirichlet_L_125.28'], 'factors': ['1-5e3-125.28-r1-0-0'], 'label': '1-5e3-125.28-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/125/28'}
Lfunction data - 1-5e3-125.28-r1-0-0