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lfunc_lfunctions • Show schema
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{'Lhash': '1485163094540832650929405193788', 'a10': [0.7003317545598355, -1.294099735144014], 'a2': [0.8794737512064891, 0.47594739303707356], 'a3': [0.0, 1.2284254253793356], 'a4': [0.5469481581224269, 0.8371664782625285], 'a5': [0.0, -1.4714478213462632], 'a6': [-0.584665878749753, 1.0803679169357914], 'a7': [0.0, 0.0], 'a8': [0.08257934547233232, 0.9965844930066698], 'a9': [-0.5090290257184017, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.433314716281983, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8794737512064891, -0.47594739303707356]]], [359, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 359], 'central_character': '2872.717', 'coefficient_field': 'CDF', 'conductor': 2872, 'conductor_radical': 718, 'conjugate': '2031522633751893273778563581002', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8794737512064891, -0.47594739303707356]], [[1.0, 0], [0, -1.2284254253793356], [-1.0, 0]], [[1.0, 0], [0, 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0.99658449300666984981935200075048*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.2631578947368421', 'prec': 64}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.17158710316032038132105881279', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.23878208071234479440499139984', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.04840675810374915613835132391', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.433314716281983, 'bad_primes': [2, 359], 'central_character': '2872.717', 'conductor': 2872, 'conductor_radical': 718, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2872/1/b/e/717/16'], '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': '2-2872-2872.717-c0-0-12', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2872-2872.717-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1972112245890376, 'root_angle': -0.2631578947368421, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.17158710316032038132105881279', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1485163094540832650929405193788', 'Lhash_array': ['1485163094540832650929405193788'], 'label': '2-2872-2872.717-c0-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2872/1/b/e/717/16'}