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lfunc_lfunctions • Show schema
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{'Lhash': '3049247261540674867259315863339', 'a10': [0.6269927520839507, 0.0], 'a2': [0.22787778831813468, 0.0], 'a3': [8.23916039940284, 0.0], 'a4': [-7.9480717135912355, 0.0], 'a5': [2.7514430287897174, 0.0], 'a6': [1.8775216494142786, 0.0], 'a7': [-21.521961287524512, 0.0], 'a8': [-3.634211310032175, 0.0], 'a9': [40.88376408708797, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.051551991659046, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [0, 0]]]], 'bad_primes': [17], 'central_character': '289.1', 'coefficient_field': 'CDF', 'conductor': 289, 'conductor_radical': 17, 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.22787778831813468, 0], [8.0, 0]], [[1.0, 0], [-8.23916039940284, 0], [27.0, 0]], [[1.0, 0], [-2.7514430287897174, 0], [125.0, 0]], [[1.0, 0], [21.521961287524512, 0], [343.0, 0]], [[1.0, 0], [54.538374811312835, 0], [1331.0, 0]], [[1.0, 0], [52.48271956494214, 0], [2197.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.051551991659046, 'bad_primes': [17], 'central_character': '1.1', 'conductor': 289, 'conductor_radical': 17, 'degree': 2, 'index': 53, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/289/4/a/g/1/8'], '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': '2-17e2-1.1-c3-0-53', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-17e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.129352490604193, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.40543195498166811251681261515', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3049247261540674867259315863339', 'Lhash_array': ['3049247261540674867259315863339'], 'label': '2-17e2-1.1-c3-0-53', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/289/4/a/g/1/8'}