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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_1588.135', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [0.8052702575310586, -0.5929079290546405], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [-0.7345917086575333, 0.6785094115571322], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.9549022414440739, -0.29692037532827487], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [0.29692037532827487, -0.9549022414440739], 'algebraic': True, 'analytic_conductor': 7.374640996360204, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [397, [1]]], 'bad_primes': [2, 397], 'central_character': '1588.135', 'coeff_info': ['x^396 - 1', '0.999874127673875 + 0.0158659638348079*I', '\\\\zeta_{396}'], 'conductor': 1588, 'conductor_radical': 794, 'conjugate': 'dirichlet_L_1588.447', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^356', 0, 'a^151', 0, 'a^377', 0, 'a^316', 0, 'a^350', 0, 'a^203', 0, 'a^507', 0, 'a^3', 0, 'a^518', 0, 'a^337', 0, 'a^416', 0, 'a^302', 0, 'a^276', 0, 'a^272', 0, 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 7.374640996360204, 'bad_primes': [2, 397], 'central_character': '1588.135', 'conductor': 1588, 'conductor_radical': 794, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/1588/135'], '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': '1-1588-1588.135-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': '1-1588-1588.135-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.374640996360204, 'root_angle': -0.14460763119891357, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.836601100169', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_1588.135', 'Lhash_array': ['dirichlet_L_1588.135'], 'factors': ['1-1588-1588.135-r0-0-0'], 'label': '1-1588-1588.135-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/1588/135'}
Lfunction data - 1-1588-1588.135-r0-0-0