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lfunc_lfunctions • Show schema
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{'Lhash': '2719032386451821678831291287881', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.305402600332509, -1.5404207693457856], 'a4': [0.0, 0.0], 'a5': [5.100086061114049, -1.0144701922561905], 'a6': [0.0, 0.0], 'a7': [-1.705550771263878, -0.33925514159829956], 'a8': [0.0, 0.0], 'a9': [-0.5021658882977762, -1.212335698089624], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.7057315953000383, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [3.2762099460478016, 16.681320343108858]]]], 'bad_primes': [2, 17], 'central_character': '136.129', 'coefficient_field': 'CDF', 'conductor': 136, 'conductor_radical': 34, 'conjugate': '1077317554357425163719532306435', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.305402600332509, 1.5404207693457856], [3.444150891285808, 8.31491579260158]], [[1.0, 0], [-5.100086061114049, 1.0144701922561905], [23.09698831278217, 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'data': '5.58754386201953657118389831314', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.7057315953000383, 'bad_primes': [2, 17], 'central_character': '17.10', 'conductor': 136, 'conductor_radical': 34, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/136/3/t/a/129/2'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, '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': '2-136-17.10-c2-0-6', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-136-17.10-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9250276868918115, 'root_angle': 0.2574111441984618, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.14493834970163204516414974588', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2719032386451821678831291287881', 'Lhash_array': ['2719032386451821678831291287881'], 'label': '2-136-17.10-c2-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/136/3/t/a/129/2'}