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lfunc_lfunctions • Show schema
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{'Lhash': '778802470253105217267025271861', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.4670369482352656, -0.24963644973222288], 'a4': [0.0, 0.0], 'a5': [0.24623114627692305, 0.3000335198479995], 'a6': [0.0, 0.0], 'a7': [-1.8916005939457823, 1.2639271083500296], 'a8': [0.0, 0.0], 'a9': [-1.5109055450768052, 2.2612299456051885], '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': '512.497', 'coefficient_field': 'CDF', 'conductor': 512, 'conductor_radical': 2, 'conjugate': '2618087320112654272673398776800', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.4670369482352656, 0.24963644973222288], [1.6667106990588068, -2.4944088369076356]], [[1.0, 0], [-0.24623114627692305, -0.3000335198479995], [-0.9754516100806413, 4.903926402016152]], [[1.0, 0], [1.8916005939457823, -1.2639271083500296], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.088340583489558, 'bad_primes': [2], 'central_character': '128.101', 'conductor': 512, 'conductor_radical': 2, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/512/2/k/a/497/9'], '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': '2-2e9-128.101-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': '2-2e9-128.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0219645356656377, 'root_angle': -0.2651223435990105, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.61436682167222470076323999726', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '778802470253105217267025271861', 'Lhash_array': ['778802470253105217267025271861'], 'label': '2-2e9-128.101-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/512/2/k/a/497/9'}