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{'algebraic': True, 'analytic_conductor': 89.81493909526917, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 560, 'conductor_radical': 70, 'degree': 2, 'dirichlet_coefficients': [1, 0, -1, 0, 25, 0, -49, 0, -242, 0, 453, 0, -969, 0, -25, 0, 1637, 0, 1550, 0, 49, 0, 1654, 0, 625, 0, 485, 0, -4985, 0, -1192, 0, -453, 0, -1225, 0, -11018, 0, 969, 0, -1728, 0, 10814, 0, -6050, 0, -26237, 0, 2401, 0, -1637, 0, 25936, 0, 11325, 0, -1550, 0, 4580, 0, -12488, 0, 11858, 0, -24225, 0, 15848, 0, -1654, 0, -51792, 0, 4846, 0, -625, 0, -22197, 0, -62765, 0, 58321, 0, 23644, 0, 40925, 0, 4985, 0, -147300, 0, 47481, 0, 1192, 0, 38750, 0, -8343, 0, -109626, 0], 'euler11': [1, -453, 161051], 'euler13': [1, 969, 371293], 'euler17': [1, -1637, 1419857], 'euler19': [1, -1550, 2476099], 'euler2': [1, 0, 0], 'euler23': [1, -1654, 6436343], 'euler29': [1, 4985, 20511149], 'euler3': [1, 1, 243], 'euler31': [1, 1192, 28629151], 'euler37': [1, 11018, 69343957], 'euler41': [1, 1728, 115856201], 'euler43': [1, -10814, 147008443], 'euler47': [1, 26237, 229345007], 'euler5': [1, -25, 0], 'euler53': [1, -25936, 418195493], 'euler59': [1, -4580, 714924299], 'euler61': [1, 12488, 844596301], 'euler67': [1, -15848, 1350125107], 'euler7': [1, 49, 0], 'euler71': [1, 51792, 1804229351], 'euler73': [1, -4846, 2073071593], 'euler79': [1, 62765, 3077056399], 'euler83': [1, -23644, 3939040643], 'euler89': [1, 147300, 5584059449], 'euler97': [1, 8343, 8587340257], 'euler_factors': [[1, 0, 0], [1, 1, 243], [1, -25, 0], [1, 49, 0], [1, -453, 161051], [1, 969, 371293], [1, -1637, 1419857], [1, -1550, 2476099], [1, -1654, 6436343], [1, 4985, 20511149], [1, 1192, 28629151], [1, 11018, 69343957], [1, 1728, 115856201], [1, -10814, 147008443], [1, 26237, 229345007], [1, -25936, 418195493], [1, -4580, 714924299], [1, 12488, 844596301], [1, -15848, 1350125107], [1, 51792, 1804229351], [1, -4846, 2073071593], [1, 62765, 3077056399], [1, -23644, 3939040643], [1, 147300, 5584059449], [1, 8343, 8587340257]], 'id': 20489215, 'index': 46, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/560/6/a/c/1/1', 'ModularForm/GL2/Q/holomorphic/560/6/a/c'], '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': '2-560-1.1-c5-0-46', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-560-1.1-c5-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 9.477074395364276, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'trace_hash': 451905880001945683, 'z1': {'__RealLiteral__': 0, 'data': '1.35176238200643169071789916648', 'prec': 103}}