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lfunc_lfunctions • Show schema
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{'Lhash': '1357381086653948287990895836574', 'a10': [0.0, 0.0], 'a2': [0.1346318793594891, 0.0], 'a3': [2.155577581549734, 2.155577581549734], 'a4': [-1.981874257060132, 0.0], 'a5': [0.0, 0.0], 'a6': [0.29020946090922306, 0.29020946090922306], 'a7': [0.0, 1.9096998278577821], 'a8': [-0.5360872146011749, 0.0], 'a9': [0.0, 6.2930294201596], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.595138065691614, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [3.601364624008691, 0.173703324489602]]]], 'bad_primes': [5, 13], 'central_character': '325.268', 'coefficient_field': 'CDF', 'conductor': 325, 'conductor_radical': 65, 'conjugate': '3310590420195834409779490630561', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.1346318793594891, 0], [2.0, 0]], [[1.0, 0], [-2.155577581549734, -2.155577581549734], [0, 3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -1.9096998278577821], [-7.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.595138065691614, 'bad_primes': [5, 13], 'central_character': '65.8', 'conductor': 325, 'conductor_radical': 65, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/325/2/k/b/268/2'], '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': '2-325-65.8-c1-0-5', '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': '2-325-65.8-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.610943222367447, 'root_angle': -0.28364181652710807, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.07078487274771431288082181026', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1357381086653948287990895836574', 'Lhash_array': ['1357381086653948287990895836574'], 'label': '2-325-65.8-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/325/2/k/b/268/2'}