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{'algebraic': True, 'analytic_conductor': 71.85195127621535, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 448, 'conductor_radical': 14, 'degree': 2, 'dirichlet_coefficients': [1, 0, 30, 0, -32, 0, -49, 0, 657, 0, -624, 0, 708, 0, -960, 0, 934, 0, 1858, 0, -1470, 0, 1120, 0, -2101, 0, 12420, 0, 1174, 0, -2908, 0, -18720, 0, 1568, 0, 12462, 0, 21240, 0, 2662, 0, -7144, 0, -21024, 0, 7468, 0, 2401, 0, 28020, 0, 27274, 0, 19968, 0, 55740, 0, 2490, 0, 11096, 0, -32193, 0, -22656, 0, 39756, 0, 33600, 0, 69888, 0, 16450, 0, -63030, 0, 30576, 0, -78376, 0, 212949, 0, 109818, 0, -29888, 0, 35220, 0, -56966, 0, -34692, 0, -87240, 0, -59456, 0, -115946, 0, -409968, 0], 'euler11': [1, 624, 161051], 'euler13': [1, -708, 371293], 'euler17': [1, -934, 1419857], 'euler19': [1, -1858, 2476099], 'euler2': [1, 0, 0], 'euler23': [1, -1120, 6436343], 'euler29': [1, -1174, 20511149], 'euler3': [1, -30, 243], 'euler31': [1, 2908, 28629151], 'euler37': [1, -12462, 69343957], 'euler41': [1, -2662, 115856201], 'euler43': [1, 7144, 147008443], 'euler47': [1, -7468, 229345007], 'euler5': [1, 32, 3125], 'euler53': [1, -27274, 418195493], 'euler59': [1, -2490, 714924299], 'euler61': [1, -11096, 844596301], 'euler67': [1, -39756, 1350125107], 'euler7': [1, 49, 0], 'euler71': [1, -69888, 1804229351], 'euler73': [1, -16450, 2073071593], 'euler79': [1, 78376, 3077056399], 'euler83': [1, -109818, 3939040643], 'euler89': [1, 56966, 5584059449], 'euler97': [1, 115946, 8587340257], 'euler_factors': [[1, 0, 0], [1, -30, 243], [1, 32, 3125], [1, 49, 0], [1, 624, 161051], [1, -708, 371293], [1, -934, 1419857], [1, -1858, 2476099], [1, -1120, 6436343], [1, -1174, 20511149], [1, 2908, 28629151], [1, -12462, 69343957], [1, -2662, 115856201], [1, 7144, 147008443], [1, -7468, 229345007], [1, -27274, 418195493], [1, -2490, 714924299], [1, -11096, 844596301], [1, -39756, 1350125107], [1, -69888, 1804229351], [1, -16450, 2073071593], [1, 78376, 3077056399], [1, -109818, 3939040643], [1, 56966, 5584059449], [1, 115946, 8587340257]], 'id': 20187961, 'index': 28, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/6/a/p/1/1', 'ModularForm/GL2/Q/holomorphic/448/6/a/p'], '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': '2-448-1.1-c5-0-28', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-448-1.1-c5-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.476553030342897, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'trace_hash': 2170948343833264423, 'z1': {'__RealLiteral__': 0, 'data': '1.00755590478842028016131675157', 'prec': 103}}