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{'Lhash': 'dirichlet_L_571.361', 'a10': [-0.8341392371987699, -0.5515539257094036], 'a2': [0.8519194088383271, -0.5236729139878779], 'a3': [-0.7958629766375385, -0.6054767728143144], 'a4': [0.45153335831088937, -0.892254238618394], 'a5': [-0.4217855543455322, -0.9066956193483191], 'a6': [-0.9950829025450114, -0.09904553025046271], 'a7': [-0.8460952524209354, 0.5330317287279938], 'a8': [-0.08257934547233232, -0.9965844930066698], 'a9': [0.26679575516472614, 0.9637530933937818], 'algebraic': True, 'analytic_conductor': 2.6517128519657915, 'analytic_normalization': 0, 'bad_lfactors': [[571, [1]]], 'bad_primes': [571], 'central_character': '571.361', 'coeff_info': ['x^285 - 1', '0.999756990959495 + 0.0220444783929454*I', '\\\\zeta_{285}'], 'conductor': 571, 'conductor_radical': 571, 'conjugate': 'dirichlet_L_571.329', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^260', 'a^172', 'a^235', 'a^194', 'a^147', 'a^117', 'a^210', 'a^59', 'a^169', 'a^211', 'a^122', 'a^124', 'a^92', 'a^81', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.6517128519657915, 'bad_primes': [571], 'central_character': '571.361', 'conductor': 571, 'conductor_radical': 571, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/571/361'], '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': '1-571-571.361-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': '1-571-571.361-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6517128519657915, 'root_angle': 0.2831055058920999, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.152451427969', 'prec': 47}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_571.361', 'Lhash_array': ['dirichlet_L_571.361'], 'label': '1-571-571.361-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/571/361'}