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{'Lhash': 'dirichlet_L_161.101', 'a10': [-0.9819286972627067, -0.18925124436041021], 'a2': [0.0475819158237423, 0.998867339183008], 'a3': [-0.9283679330160726, 0.3716624556603275], 'a4': [-0.9954719225730846, 0.09505604330418266], 'a5': [-0.23575893550942723, 0.9718115683235417], 'a6': [-0.41541501300188644, -0.9096319953545183], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [-0.14231483827328514, -0.9898214418809327], 'a9': [0.7237340381050702, -0.690079011482112], 'algebraic': True, 'analytic_conductor': 17.30185289193463, 'analytic_normalization': 0, 'bad_lfactors': [[7, [1]], [23, [1]]], 'bad_primes': [7, 23], 'central_character': '161.101', 'coeff_info': ['x^66 - 1', '0.995471922573085 + 0.0950560433041827*I', '\\\\zeta_{66}'], 'conductor': 161, 'conductor_radical': 161, 'conjugate': 'dirichlet_L_161.110', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^16', 'a^29', 'a^32', 'a^19', 'a^45', 0, 'a^48', 'a^58', 'a^35', 'a^50', 'a^61', 'a^57', 0, 'a^48', 'a^64', 'a^23', 'a^8', 'a^43', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.30185289193463, 'bad_primes': [7, 23], 'central_character': '161.101', 'conductor': 161, 'conductor_radical': 161, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/161/101'], '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': '1-161-161.101-r1-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-161-161.101-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 17.30185289193463, 'root_angle': 0.13013749151086976, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.51729939015', 'prec': 44}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_161.101', 'Lhash_array': ['dirichlet_L_161.101'], 'label': '1-161-161.101-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/161/101'}