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lfunc_lfunctions • Show schema
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{'Lhash': '3622294861893893974948715716803', 'a10': [2.1320698469034167, -3.6928533001223154], 'a2': [0.6427876096865394, 0.766044443118978], 'a3': [1.4396926207859084, 1.2080455471101075], 'a4': [-0.17364817766693036, 0.984807753012208], 'a5': [-1.4584216692364864, -4.006980604270564], 'a6': [-1.1704893772497552e-60, 1.8793852415718169], 'a7': [-3.3936398058177253, 1.235183875138587], 'a8': [-0.8660254037844386, 0.5], 'a9': [0.09239626545204768, 0.5240052604587699], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.6427876096865394, -0.766044443118978]]], [37, [[1.0, 0], [4.493746063232129, -4.099542208489351]]]], 'bad_primes': [2, 37], 'central_character': '74.25', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '4520551061926161981912295319832', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.6427876096865394, 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'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.85748680373103714221288870135', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.57366065209058556957467984464', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.46696189581166297350921686575', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '37.25', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/h/a/25/2'], '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': '2-74-37.25-c1-0-1', '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': '2-74-37.25-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': -0.12252901326956937, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.85748680373103714221288870135', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3622294861893893974948715716803', 'Lhash_array': ['3622294861893893974948715716803'], 'label': '2-74-37.25-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/h/a/25/2'}