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lfunc_lfunctions • Show schema
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{'Lhash': '648762546656659594324644570722', 'a10': [-1.6377300181546024, -2.705150714403049], 'a2': [-1.40960628939214, 0.11406186438123118], 'a3': [-1.4739797821877552, -0.90960628939214], 'a4': [1.9739797821877552, -0.3215646428231536], 'a5': [1.0, 2.0], 'a6': [2.1814825606296777, 1.1140618643812312], 'a7': [1.0, 0.0], 'a8': [-2.745856053425293, 0.6784353571768464], 'a9': [1.3452327965965247, 2.6814825606296777], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.3537168848937777, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.40960628939214, -0.11406186438123118]]], [3, [[1.0, 0], [1.4739797821877552, 0.90960628939214]]], [5, [[1.0, 0], [-1.0, -2.0]]], [7, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '420.239', 'coefficient_field': 'CDF', 'conductor': 420, 'conductor_radical': 210, 'conjugate': '2057858536760480984164911365348', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.3537168848937777, 'bad_primes': [2, 3, 5, 7], 'central_character': '60.59', 'conductor': 420, 'conductor_radical': 210, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/420/2/l/f/239/2'], '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': '2-420-60.59-c1-0-8', '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': '2-420-60.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8313156158602968, 'root_angle': -0.2614951315325517, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.51178340982906139357597110462', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '648762546656659594324644570722', 'Lhash_array': ['648762546656659594324644570722'], 'label': '2-420-60.59-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/420/2/l/f/239/2'}