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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_4025.3062', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.07608621805109508, 0.9971012423132775], 'a3': [0.9567674473737217, -0.29085400400539907], 'a4': [-0.9884217748453624, 0.15173132508333165], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [0.362807705350641, 0.9318640292114523], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [-0.22649676742576438, -0.9740119169423335], 'a9': [0.8308078967080545, -0.5565592859413437], 'algebraic': True, 'analytic_conductor': 18.692021417096868, 'analytic_normalization': 0, 'bad_lfactors': [[5, [1]], [7, [1]], [23, [1]]], 'bad_primes': [5, 7, 23], 'central_character': '4025.3062', 'coeff_info': ['x^660 - 1', '0.999954685354173 + 0.00951983393957664*I', '\\\\zeta_{660}'], 'conductor': 4025, 'conductor_radical': 805, 'conjugate': 'dirichlet_L_4025.698', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^157', 'a^629', 'a^314', 0, 'a^126', 0, 'a^471', 'a^598', 0, 'a^272', 'a^283', 'a^153', 0, 0, 'a^628', 'a^71', 'a^95', 'a^556', 0, 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{'__RealLiteral__': 0, 'data': '2.94840973892', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 18.692021417096868, 'bad_primes': [5, 7, 23], 'central_character': '4025.3062', 'conductor': 4025, 'conductor_radical': 805, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/4025/3062'], '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': '1-4025-4025.3062-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': '1-4025-4025.3062-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 18.692021417096868, 'root_angle': 0.24810443041395544, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.938777650981', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_4025.3062', 'Lhash_array': ['dirichlet_L_4025.3062'], 'label': '1-4025-4025.3062-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/4025/3062'}
Lfunction data - 1-4025-4025.3062-r0-0-0