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  • lfunc_lfunctions • Show schema
    {'Lhash': '728422922786433353385860356535', 'a10': [-2.7057370639048863, -2.2703829723852866], 'a2': [-0.766044443118978, 0.6427876096865394], 'a3': [0.0, 0.0], 'a4': [0.17364817766693036, -0.984807753012208], 'a5': [0.6133407984528387, 3.478428519495394], 'a6': [0.0, 0.0], 'a7': [-1.8584407085710257, 3.2189137300993216], 'a8': [0.5, 0.8660254037844386], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.7308837491277904, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0.766044443118978, -0.6427876096865394]]], [3, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [4.177518570928751, -1.2443225424082804]]]], 'bad_primes': [2, 3, 19], 'central_character': '342.253', 'coefficient_field': 'CDF', 'conductor': 342, 'conductor_radical': 114, 'conjugate': '3111772990422535684007432159234', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.766044443118978, -0.6427876096865394]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'0.57462436625304100214247240492', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.18546679350048505152936892426', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.09808601343357153376842969770', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 2.7308837491277904, 'bad_primes': [2, 3, 19], 'central_character': '19.6', 'conductor': 342, 'conductor_radical': 114, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/342/2/u/b/253/1'], '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': '2-342-19.6-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-342-19.6-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6525385771980605, 'root_angle': -0.4325516031761804, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.57462436625304100214247240492', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '728422922786433353385860356535', 'Lhash_array': ['728422922786433353385860356535'], 'factors': ['2-342-19.6-c1-0-0'], 'label': '2-342-19.6-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/342/2/u/b/253/1'}