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{'algebraic': True, 'analytic_conductor': 0.7998163160193157, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 12544, 'conductor_radical': 14, 'degree': 4, 'dirichlet_coefficients': [1, 2, 0, 2, 2, 0, -4, 0, 2, 4, 2, 0, -2, -8, 0, -4, 2, 4, 0, 4, 0, 4, 0, 0, -2, -4, 0, -8, -6, 0, -4, -8, 0, 4, -8, 4, 2, 0, 0, 0, 6, 0, -6, 4, 4, 0, 12, 0, 9, -4, 0, -4, -2, 0, 4, 0, 0, -12, 0, 0, 10, -8, -8, -8, -4, 0, -6, 4, 0, -16, -12, 0, -2, 4, 0, 0, -8, 0, 4, -8, -5, 12, -8, 0, 4, -12, 0, 0, 14, 8, 8, 0, 0, 24, 0, 0, 2, 18, 4, -4], 'euler11': [1, -2, 10, -22, 121], 'euler13': [1, 2, -2, 26, 169], 'euler17': [1, -2, 26, -34, 289], 'euler19': [1, 0, -2, 0, 361], 'euler2': [1, -2, 2, 0, 0], 'euler23': [1, 0, -2, 0, 529], 'euler29': [1, 6, 34, 174, 841], 'euler3': [1, 0, -2, 0, 9], 'euler31': [1, 4, -2, 124, 961], 'euler37': [1, -2, 50, -74, 1369], 'euler41': [1, -6, 50, -246, 1681], 'euler43': [1, 6, 42, 258, 1849], 'euler47': [1, -12, 94, -564, 2209], 'euler5': [1, -2, 6, -10, 25], 'euler53': [1, 2, -62, 106, 2809], 'euler59': [1, 0, 46, 0, 3481], 'euler61': [1, -10, 102, -610, 3721], 'euler67': [1, 6, 82, 402, 4489], 'euler7': [1, 4, 7, 0, 0], 'euler71': [1, 12, 110, 852, 5041], 'euler73': [1, 2, 58, 146, 5329], 'euler79': [1, -4, 102, -316, 6241], 'euler83': [1, 8, 142, 664, 6889], 'euler89': [1, -14, 122, -1246, 7921], 'euler97': [1, -2, 26, -194, 9409], 'euler_factors': [[1, -2, 2, 0, 0], [1, 0, -2, 0, 9], [1, -2, 6, -10, 25], [1, 4, 7, 0, 0], [1, -2, 10, -22, 121], [1, 2, -2, 26, 169], [1, -2, 26, -34, 289], [1, 0, -2, 0, 361], [1, 0, -2, 0, 529], [1, 6, 34, 174, 841], [1, 4, -2, 124, 961], [1, -2, 50, -74, 1369], [1, -6, 50, -246, 1681], [1, 6, 42, 258, 1849], [1, -12, 94, -564, 2209], [1, 2, -62, 106, 2809], [1, 0, 46, 0, 3481], [1, -10, 102, -610, 3721], [1, 6, 82, 402, 4489], [1, 12, 110, 852, 5041], [1, 2, 58, 146, 5329], [1, -4, 102, -316, 6241], [1, 8, 142, 664, 6889], [1, -14, 122, -1246, 7921], [1, -2, 26, -194, 9409]], 'id': 9402186, 'index': 11, 'instance_types': ['G2Q'], 'instance_urls': ['Genus2Curve/Q/12544/f'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': True, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-112e2-1.1-c1e2-0-11', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'prelabel': '4-112e2-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.9456873175835345, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 105472501656073305, 'z1': {'__RealLiteral__': 0, 'data': '2.09261630544', 'prec': 44}}