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lfunc_lfunctions • Show schema
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{'Lhash': '1923870994620288041154448361891', 'a10': [-0.9163821793443796, 0.0], 'a2': [-1.6591213013019888, 0.0], 'a3': [1.5836057049701118, 0.0], 'a4': [0.7526834924340046, 0.0], 'a5': [0.5523298258091511, 0.0], 'a6': [-2.6273939579792653, 0.0], 'a7': [-2.5076073444366105, 0.0], 'a8': [2.0694493871683464, 0.0], 'a9': [-0.49219297118611505, 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], [1.6591213013019888, 0], [2.0, 0]], [[1.0, 0], [-1.5836057049701118, 0], [3.0, 0]], [[1.0, 0], [-0.5523298258091511, 0], [5.0, 0]], [[1.0, 0], [2.5076073444366105, 0], [7.0, 0]], [[1.0, 0], [-2.8397836290255714, 0], [11.0, 0]], [[1.0, 0], [4.5045877214958985, 0], [13.0, 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': 110, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2011/2/a/a/1/21'], '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-c1-0-110', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-2011-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.007232941379811, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.51766661434460875740606317354', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1923870994620288041154448361891', 'Lhash_array': ['1923870994620288041154448361891'], 'label': '2-2011-1.1-c1-0-110', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2011/2/a/a/1/21'}