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lfunc_lfunctions • Show schema
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{'Lhash': '899442423854292040860946909424', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.311381596088913, -0.8762371686671262], 'a4': [0.0, 0.0], 'a5': [-3.522489085986807, 0.7006666431626436], 'a6': [0.0, 0.0], 'a7': [1.0250289603117202, 2.4746388178097476], 'a8': [0.0, 0.0], 'a9': [-0.19612018228834585, 0.4734760039356082], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.088340583489558, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '512.33', 'coefficient_field': 'CDF', 'conductor': 512, 'conductor_radical': 2, 'conjugate': '2410423398211019849241917221107', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.311381596088913, 0.8762371686671262], [1.1480502970952693, -2.7716385975338604]], [[1.0, 0], [3.522489085986807, -0.7006666431626436], [4.619397662556434, -1.913417161825449]], [[1.0, 0], [-1.0250289603117202, -2.4746388178097476], 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'data': '3.85751880122281552479575119004', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.088340583489558, 'bad_primes': [2], 'central_character': '64.13', 'conductor': 512, 'conductor_radical': 2, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/512/2/i/b/33/5'], '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': '2-2e9-64.13-c1-0-3', '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': '2-2e9-64.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0219645356656377, 'root_angle': -0.1997896392784447, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70953496467587780144780183780', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '899442423854292040860946909424', 'Lhash_array': ['899442423854292040860946909424'], 'label': '2-2e9-64.13-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/512/2/i/b/33/5'}