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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_368.285', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [-0.9898214418809327, -0.14231483827328514], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [0.28173255684142967, 0.9594929736144974], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.6548607339452851, 0.7557495743542583], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [0.9594929736144974, 0.28173255684142967], 'algebraic': True, 'analytic_conductor': 1.7089848152774278, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [23, [1]]], 'bad_primes': [2, 23], 'central_character': '368.285', 'coeff_info': ['x^44 - 1', '0.989821441880933 + 0.142314838273285*I', '\\\\zeta_{44}'], 'conductor': 368, 'conductor_radical': 46, 'conjugate': 'dirichlet_L_368.133', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^23', 0, 'a^53', 0, 'a^50', 0, 'a^46', 0, 'a^37', 0, 'a^27', 0, 'a^32', 0, 'a^8', 0, 'a^47', 0, 'a^73', 0, 0, 0, 'a^62', 0, 'a^69', 0, 'a^19', 0, 'a^32', 0, 'a^16', 0, 'a^15', 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'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 1.7089848152774278, 'bad_primes': [2, 23], 'central_character': '368.285', 'conductor': 368, 'conductor_radical': 46, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/368/285'], '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': '1-368-368.285-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': '1-368-368.285-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7089848152774278, 'root_angle': 0.17246453845692364, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.35710645833', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_368.285', 'Lhash_array': ['dirichlet_L_368.285'], 'factors': ['1-368-368.285-r0-0-0'], 'label': '1-368-368.285-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/368/285'}
Lfunction data - 1-368-368.285-r0-0-0