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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_125.48', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.7705132427757893, 0.6374239897486897], 'a3': [0.12533323356430426, -0.9921147013144779], 'a4': [0.18738131458572463, 0.9822872507286887], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [0.7289686274214116, -0.6845471059286887], 'a7': [-0.5877852522924731, 0.8090169943749475], 'a8': [-0.48175367410171527, 0.8763066800438636], 'a9': [-0.9685831611286311, -0.2486898871648548], 'algebraic': True, 'analytic_conductor': 13.433115599328127, 'analytic_normalization': 0, 'bad_lfactors': [[5, [1]]], 'bad_primes': [5], 'central_character': '125.48', 'coeff_info': ['x^100 - 1', '0.998026728428272 + 0.0627905195293134*I', '\\\\zeta_{100}'], 'conductor': 125, 'conductor_radical': 5, 'conjugate': 'dirichlet_L_125.112', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^11', 'a^77', 'a^22', 0, 'a^88', 'a^35', 'a^33', 'a^54', 0, 'a^36', 'a^99', 'a^29', 'a^46', 0, 'a^44', 'a^3', 'a^65', 'a^98', 0, 'a^12', 'a^47', 'a^41', 'a^10', 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 13.433115599328127, 'bad_primes': [5], 'central_character': '125.48', 'conductor': 125, 'conductor_radical': 5, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/125/48'], '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': '1-5e3-125.48-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': '1-5e3-125.48-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.433115599328127, 'root_angle': 0.34400000000000003, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.09607248699', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_125.48', 'Lhash_array': ['dirichlet_L_125.48'], 'factors': ['1-5e3-125.48-r1-0-0'], 'label': '1-5e3-125.48-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/125/48'}
Lfunction data - 1-5e3-125.48-r1-0-0