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lfunc_lfunctions • Show schema
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{'Lhash': '1710125437127385848509539592241', 'a10': [-1.9878443870476439, 1.0239505324395204], 'a2': [1.0, 0], 'a3': [-1.038051710604947, -1.3865239435762167], 'a4': [1.0, 0], 'a5': [-1.9878443870476439, 1.0239505324395204], 'a6': [-1.038051710604947, -1.3865239435762167], 'a7': [0, 0], 'a8': [1.0, 0], 'a9': [-0.844897292220287, 2.878567102848017], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.738009097128222, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [1.038051710604947, 1.3865239435762167]]], [5, [[1.0, 0], [1.9878443870476439, -1.0239505324395204]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1470.1469', 'coefficient_field': 'CDF', 'conductor': 1470, 'conductor_radical': 210, 'conjugate': '625619670394741809119668682064', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.038051710604947, 1.3865239435762167]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.738009097128222, 'bad_primes': [2, 3, 5, 7], 'central_character': '105.104', 'conductor': 1470, 'conductor_radical': 210, 'degree': 2, 'index': 51, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1470/2/d/h/1469/9'], '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': '2-1470-105.104-c1-0-51', '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': '2-1470-105.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.4260778007990744, 'root_angle': 0.2969955422534723, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.34905110037378811107947335786', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1710125437127385848509539592241', 'Lhash_array': ['1710125437127385848509539592241'], 'label': '2-1470-105.104-c1-0-51', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1470/2/d/h/1469/9'}