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lfunc_lfunctions • Show schema
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{'Lhash': '2144911290467639524406847464749', 'a10': [5.138409605873204, 0.0], 'a2': [1.7048527393878432, 0.0], 'a3': [3.059571717254005, 0.0], 'a4': [0.9065228629982335, 0.0], 'a5': [3.0139902920402606, 0.0], 'a6': [5.216119223514059, 0.0], 'a7': [-2.003938424856625, 0.0], 'a8': [-1.8642174924754376, 0.0], 'a9': [6.360979093020623, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 16.057915846479492, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2011, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2011], 'central_character': '2011.1', 'coefficient_field': 'CDF', 'conductor': 2011, 'conductor_radical': 2011, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7048527393878432, 0], [2.0, 0]], [[1.0, 0], [-3.059571717254005, 0], [3.0, 0]], [[1.0, 0], [-3.0139902920402606, 0], [5.0, 0]], [[1.0, 0], [2.003938424856625, 0], [7.0, 0]], [[1.0, 0], [1.5736372066640147, 0], [11.0, 0]], [[1.0, 0], [-3.7562068841884515, 0], [13.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 16.057915846479492, 'bad_primes': [2011], 'central_character': '1.1', 'conductor': 2011, 'conductor_radical': 2011, 'degree': 2, 'index': 123, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2011/2/a/b/1/68'], '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': '2-2011-1.1-c1-0-123', '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': '2-2011-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.007232941379811, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.69203666221707070519160883290', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2144911290467639524406847464749', 'Lhash_array': ['2144911290467639524406847464749'], 'label': '2-2011-1.1-c1-0-123', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2011/2/a/b/1/68'}