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lfunc_lfunctions • Show schema
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{'Lhash': '306908661835993601806436400752', 'a10': [-2.2289628584564456, -0.17811393999817088], 'a2': [0.5, 0.8660254037844386], 'a3': [0, 0], 'a4': [-0.5, 0.8660254037844386], 'a5': [-1.268732626034776, 1.8412814895161742], 'a6': [0, 0], 'a7': [-2.1728255328602266, 3.7634442188968316], 'a8': [-1.0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.34249703648981, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5, -0.8660254037844386]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.268732626034776, -1.8412814895161742]]], [13, [[1.0, 0], [3.184185780739768, -1.6914375287709187]]]], 'bad_primes': [2, 3, 5, 13], 'central_character': '1170.829', 'coefficient_field': 'CDF', 'conductor': 1170, 'conductor_radical': 390, 'conjugate': '3142764026708996320995413757218', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.268732626034776, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.34249703648981, 'bad_primes': [2, 3, 5, 13], 'central_character': '65.49', 'conductor': 1170, 'conductor_radical': 390, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1170/2/bj/d/829/2'], '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': '2-1170-65.49-c1-0-2', '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': '2-1170-65.49-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0565498583353437, 'root_angle': 0.35368406629595417, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.24210824479611131174410567684', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '306908661835993601806436400752', 'Lhash_array': ['306908661835993601806436400752'], 'label': '2-1170-65.49-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1170/2/bj/d/829/2'}