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lfunc_lfunctions • Show schema
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{'Lhash': 'dirichlet_L_529.354', 'a10': [-0.9722974041542203, -0.23374720934155518], 'a2': [0.17908048992444497, -0.9838344261756755], 'a3': [0.6262596677501294, 0.7796145384415926], 'a4': [-0.9358603562568415, -0.35237110208815037], 'a5': [0.05584905608451058, -0.9984392234555237], 'a6': [0.8791625101865117, -0.4765220673615774], 'a7': [0.7986770245644728, -0.6017599275731482], 'a8': [-0.5142691521231266, 0.8576288469813503], 'a9': [-0.21559765709899492, 0.9764822836352046], 'algebraic': True, 'analytic_conductor': 2.4566656719613023, 'analytic_normalization': 0, 'bad_lfactors': [[23, [1]]], 'bad_primes': [23], 'central_character': '529.354', 'coeff_info': ['x^253 - 1', '0.999691634078213 + 0.0248321717542501*I', '\\\\zeta_{253}'], 'conductor': 529, 'conductor_radical': 23, 'conjugate': 'dirichlet_L_529.133', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^197', 'a^36', 'a^141', 'a^192', 'a^233', 'a^227', 'a^85', 'a^72', 'a^136', 'a^188', 'a^177', 'a^48', 'a^171', 'a^228', 'a^29', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.4566656719613023, 'bad_primes': [23], 'central_character': '529.354', 'conductor': 529, 'conductor_radical': 23, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/529/354'], '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': '1-23e2-529.354-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': '1-23e2-529.354-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4566656719613023, 'root_angle': -0.2777109468980925, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.944167412979', 'prec': 47}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_529.354', 'Lhash_array': ['dirichlet_L_529.354'], 'label': '1-23e2-529.354-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/529/354'}