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lfunc_lfunctions • Show schema
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{'Lhash': '2460276864870545156746868615159', 'a10': [-7.465981282966447e-79, -1.4142135623730951], 'a2': [1.0509654909975177, -0.9462935785116301], 'a3': [0.0, 0.0], 'a4': [0.10452846326765347, -0.9945218953682733], 'a5': [0.6691306063588582, -0.7431448254773942], 'a6': [0.0, 0.0], 'a7': [-0.5752124769519015, -1.2919483760425021], 'a8': [-6.72293656484311e-80, 1.6640878515968762e-78], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.630445396272019, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 11], 'central_character': '3267.3016', 'coefficient_field': 'CDF', 'conductor': 3267, 'conductor_radical': 33, 'conjugate': '1326859009682645819475272298035', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0509654909975177, 0.9462935785116301], [0.10452846326765347, -0.9945218953682733]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.6691306063588582, 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'3.61079771852409650686819742790', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.630445396272019, 'bad_primes': [3, 11], 'central_character': '99.79', 'conductor': 3267, 'conductor_radical': 33, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3267/1/w/b/3016/2'], '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': '2-3267-99.79-c0-0-2', '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': '2-3267-99.79-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.27688895220846, 'root_angle': 0.3572169112461836, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.94081623471609119191244817187', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2460276864870545156746868615159', 'Lhash_array': ['2460276864870545156746868615159'], 'label': '2-3267-99.79-c0-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3267/1/w/b/3016/2'}