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lfunc_lfunctions • Show schema
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{'Lhash': 'dirichlet_L_547.332', 'a10': [0.38666674294141884, -0.9222195128618104], 'a2': [0.8326664226872064, 0.5537748897605331], 'a3': [0.9009688679024191, 0.4338837391175581], 'a4': [0.38666674294141884, 0.9222195128618104], 'a5': [-0.18873759545291668, -0.9820275556534304], 'a6': [0.5099326043901359, 0.8602143564135006], 'a7': [-0.7251763071433764, -0.6885632313432771], 'a8': [-0.18873759545291668, 0.9820275556534304], 'a9': [0.6234898018587335, 0.7818314824680298], 'algebraic': True, 'analytic_conductor': 58.78331386265989, 'analytic_normalization': 0, 'bad_lfactors': [[547, [1]]], 'bad_primes': [547], 'central_character': '547.332', 'coeff_info': ['x^182 - 1', '0.999404140551070 + 0.0345161389697081*I', '\\\\zeta_{182}'], 'conductor': 547, 'conductor_radical': 547, 'conjugate': 'dirichlet_L_547.173', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^17', 'a^13', 'a^34', 'a^131', 'a^30', 'a^113', 'a^51', 'a^26', 'a^148', 'a^98', 'a^47', 'a^130', 'a^130', 'a^144', 'a^68', 'a^19', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 58.78331386265989, 'bad_primes': [547], 'central_character': '547.332', 'conductor': 547, 'conductor_radical': 547, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/547/332'], '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': '1-547-547.332-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': '1-547-547.332-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 58.78331386265989, 'root_angle': -0.3576846728890562, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.0285569085798', 'prec': 50}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_547.332', 'Lhash_array': ['dirichlet_L_547.332'], 'label': '1-547-547.332-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/547/332'}