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lfunc_lfunctions • Show schema
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{'Lhash': '2304306216074137832750115044335', 'a10': [0.16628394444140077, 0.0], 'a2': [1.6415268824145526, 0.0], 'a3': [0.8807883031152686, 0.0], 'a4': [1.6946105056896406, 0.0], 'a5': [0.10129833767742542, 0.0], 'a6': [1.445837677280011, 0.0], 'a7': [-1.0, 0.0], 'a8': [1.1402218178971115, 0.0], 'a9': [-0.22421196509532568, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.233189646216149, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [1.0, 0]]], [353, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [7, 353], 'central_character': '2471.2470', 'coefficient_field': 'CDF', 'conductor': 2471, 'conductor_radical': 2471, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.6415268824145526, 0], [1.0, 0]], [[1.0, 0], [-0.8807883031152686, 0], [1.0, 0]], [[1.0, 0], [-0.10129833767742542, 0], [1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.377933838151373, 0], [1.0, 0]], [[1.0, 0], [-0.5013050645174411, 0], [1.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.233189646216149, 'bad_primes': [7, 353], 'central_character': '2471.2470', 'conductor': 2471, 'conductor_radical': 2471, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2471/1/d/b/2470/13'], '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': '2-2471-2471.2470-c0-0-25', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2471-2471.2470-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.110490723156276, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.81777708751864879487400830128', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2304306216074137832750115044335', 'Lhash_array': ['2304306216074137832750115044335'], 'label': '2-2471-2471.2470-c0-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2471/1/d/b/2470/13'}