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lfunc_lfunctions • Show schema
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{'Lhash': '4106087961328594158464003789939', 'a10': [1.539673581451369, 2.666792870145309], 'a2': [-0.984807753012208, -0.17364817766693036], 'a3': [-0.266044443118978, -1.508813013470978], 'a4': [0.9396926207859084, 0.3420201433256687], 'a5': [-1.9793662022372773, -2.358916782575833], 'a6': [8.2860243377433e-62, 1.532088886237956], 'a7': [0.15317971867094643, -0.12853304544063068], 'a8': [-0.8660254037844386, -0.5], 'a9': [0.6133407984528387, -0.22323779409789932], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.984807753012208, 0.17364817766693036]]], [37, [[1.0, 0], [-5.641596613257671, 2.274288383930141]]]], 'bad_primes': [2, 37], 'central_character': '74.41', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '1562063465699387774829054608524', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.984807753012208, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.4', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/h/a/41/1'], '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': '2-74-37.4-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-74-37.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': 0.2574708468711104, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.23913226609077370373622393797', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4106087961328594158464003789939', 'Lhash_array': ['4106087961328594158464003789939'], 'label': '2-74-37.4-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/h/a/41/1'}