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lfunc_lfunctions • Show schema
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{'Lhash': '1086994711883046953288355948622', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-2.0388653396675642, 0.9181656314098607], 'a6': [0, 0], 'a7': [1.3122890798859417, -2.2973674871060807], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.061150654681333, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [2.0388653396675642, -0.9181656314098607]]], [7, [[1.0, 0], [-1.3122890798859417, 2.2973674871060807]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1260.737', 'coefficient_field': 'CDF', 'conductor': 1260, 'conductor_radical': 210, 'conjugate': '1130073889364175452653902811316', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.0388653396675642, -0.9181656314098607]], [[1.0, 0], [-1.3122890798859417, 2.2973674871060807]], [[1.0, 0], [5.560171340442775, -3.210166420145079], 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'8.118354534800904411727267898873581', '8.642444332265744593701552138188920', '9.545356241093894940407884841259597'], 'prelabel': '2-1260-105.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': -0.028449544699410904, 'root_number': '0.9960085447205750889586685208055638628950324762154543720 - 0.089257934345368832807087442362884446783740360810514121*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.014224772349705452', 'prec': 70}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.857487632386513337474819128832', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.57240577514168079093268254107', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.41332487800653919446180227876', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.061150654681333, 'bad_primes': [2, 3, 5, 7], 'central_character': '105.2', 'conductor': 1260, 'conductor_radical': 210, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1260/2/ej/a/737/4'], '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': '2-1260-105.2-c1-0-6', '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': '2-1260-105.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': -0.014224772349705452, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.857487632386513337474819128832', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1086994711883046953288355948622', 'Lhash_array': ['1086994711883046953288355948622'], 'label': '2-1260-105.2-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1260/2/ej/a/737/4'}