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lfunc_lfunctions • Show schema
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{'Lhash': '2850257837471157835539897941835', 'a10': [-1.0048885195095771, -2.998366065602706], 'a2': [0.10553862693931475, 1.410270044432542], 'a3': [0.8539562444646396, -1.5069036905322943], 'a4': [-1.9777231964475284, 0.29767592820611377], 'a5': [-2.167280199569338, 0.5503603697166889], 'a6': [2.215266504109592, 1.0452723643960298], 'a7': [-0.5568050367211772, -2.078024686953688], 'a8': [-0.628529635116839, -2.7577074713935654], 'a9': [-1.5415174650796972, -2.5736596326737273], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.8746144727660954, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.10553862693931475, -1.410270044432542]]], [3, [[1.0, 0], [-0.8539562444646396, 1.5069036905322943]]], [5, [[1.0, 0], [2.167280199569338, -0.5503603697166889]]]], 'bad_primes': [2, 3, 5], 'central_character': '360.173', 'coefficient_field': 'CDF', 'conductor': 360, 'conductor_radical': 30, 'conjugate': 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['2.24845697778078111209027485278418', '3.39224401603896822658710023038910', '4.56660486005591213618467572416055', '5.04565281330745226081271720275948', '7.07079638900463796604553395427724', '8.341476047792480487484421832003700', '9.102464892716887126340845726401764', '9.759509456143141372975654200748825', '10.66209720274002255289725524989718', '11.85551951234868435571977008483939'], 'prelabel': '2-360-360.173-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6954688061908114, 'root_angle': 0.4094980634786705, 'root_number': '0.28050502654052406 + 0.9598525564301529*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.204749031739', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.24845697778078111209027485278', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.39224401603896822658710023039', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.56660486005591213618467572416', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.8746144727660954, 'bad_primes': [2, 3, 5], 'central_character': '360.173', 'conductor': 360, 'conductor_radical': 30, 'degree': 2, 'index': 54, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/360/2/br/e/173/33'], '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': '2-360-360.173-c1-0-54', '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': '2-360-360.173-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6954688061908114, 'root_angle': 0.20474903173933526, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.24845697778078111209027485278', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2850257837471157835539897941835', 'Lhash_array': ['2850257837471157835539897941835'], 'label': '2-360-360.173-c1-0-54', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/360/2/br/e/173/33'}