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lfunc_lfunctions • Show schema
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{'Lhash': '2049932621855303162811198476668', 'a10': [-1.0, -0.33670699136910875], 'a2': [0, -0.47188379883967985], 'a3': [0, -1.0402213777375318], 'a4': [1.7773256803926325, 0], 'a5': [0.7135379349683995, -2.1191657828874626], 'a6': [-0.49086361536103207, 0], 'a7': [0, 1.1753981852081028], 'a8': [0, -1.7824587915183538], 'a9': [1.917939485297831, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.412997564841117, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-0.7135379349683995, 2.1191657828874626]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 19], 'central_character': '1805.1084', 'coefficient_field': 'CDF', 'conductor': 1805, 'conductor_radical': 95, 'conjugate': '1246879107537750249352186536645', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0.47188379883967985], [-2.0, 0]], [[1.0, 0], [0, 1.0402213777375318], [-3.0, 0]], [[1.0, 0], [-0.7135379349683995, 2.1191657828874626]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.412997564841117, 'bad_primes': [5, 19], 'central_character': '5.4', 'conductor': 1805, 'conductor_radical': 95, 'degree': 2, 'index': 121, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1805/2/b/f/1084/3'], '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': '2-1805-5.4-c1-0-121', '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': '2-1805-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.7964453854679796, 'root_angle': 0.3016909420193283, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.61711170371885654179324319260', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2049932621855303162811198476668', 'Lhash_array': ['2049932621855303162811198476668'], 'factors': ['2-1805-5.4-c1-0-121'], 'label': '2-1805-5.4-c1-0-121', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1805/2/b/f/1084/3'}