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lfunc_lfunctions • Show schema
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{'Lhash': 'dirichlet_L_149.143', 'a10': [0.9112284903881357, -0.41190124824399266], 'a2': [0.8285096492438421, 0.5599747861375954], 'a3': [0.12701781974687876, 0.9919004352588768], 'a4': [0.3728564777803086, 0.9278890272965093], 'a5': [0.5243072835572317, -0.8515291377333113], 'a6': [-0.4502037448176733, 0.8929258581495685], 'a7': [-0.9112284903881357, 0.41190124824399266], 'a8': [-0.2106792699957263, 0.9775552389476861], 'a9': [-0.9677329469334989, 0.2519780613851252], 'algebraic': True, 'analytic_conductor': 0.6919530909683064, 'analytic_normalization': 0, 'bad_lfactors': [[149, [1]]], 'bad_primes': [149], 'central_character': '149.143', 'coeff_info': ['x^74 - 1', '0.996397488542527 + 0.0848059244755092*I', '\\\\zeta_{74}'], 'conductor': 149, 'conductor_radical': 149, 'conjugate': 'dirichlet_L_149.124', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^7', 'a^17', 'a^14', 'a^62', 'a^24', 'a^32', 'a^21', 'a^34', 'a^69', 'a^23', 'a^31', 'a^1', 'a^39', 'a^5', 'a^28', 'a^54', 'a^41', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.6919530909683064, 'bad_primes': [149], 'central_character': '149.143', 'conductor': 149, 'conductor_radical': 149, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/149/143'], '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': '1-149-149.143-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': '1-149-149.143-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6919530909683064, 'root_angle': 0.3032411729226954, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.55263749415', 'prec': 44}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_149.143', 'Lhash_array': ['dirichlet_L_149.143'], 'label': '1-149-149.143-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/149/143'}