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{'algebraic': True, 'analytic_conductor': 8.401705687623501, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 131769, 'conductor_radical': 33, 'degree': 4, 'dirichlet_coefficients': [1, 2, 2, -1, 0, 4, 0, -8, 1, 0, 0, -2, 0, 0, 0, -7, -10, 2, 0, 0, 0, 0, 0, -16, -9, 0, -4, 0, 18, 0, -4, 14, 0, -20, 0, -1, -6, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, -14, -10, -18, -20, 0, 0, -8, 0, 0, 0, 36, 0, 0, 0, -8, 0, 35, 0, 0, 4, 10, 0, 0, 0, -8, 0, -12, -18, 0, 0, 0, 0, 0, -11, -20, 12, 0, 0, 0, 36, 0, 0, 0, 0, 0, -8, 0, 0, 28, -26, -20, 0, 9], 'euler11': [1, 0, 0, 0, 0], 'euler13': [1, 0, 25, 0, 169], 'euler17': [1, 10, 59, 170, 289], 'euler19': [1, 0, 2, 0, 361], 'euler2': [1, -2, 5, -4, 4], 'euler23': [1, 0, 42, 0, 529], 'euler29': [1, -18, 139, -522, 841], 'euler3': [1, -2, 3, 0, 0], 'euler31': [1, 4, 66, 124, 961], 'euler37': [1, 6, 83, 222, 1369], 'euler41': [1, 10, 107, 410, 1681], 'euler43': [1, 0, 86, 0, 1849], 'euler47': [1, 0, 90, 0, 2209], 'euler5': [1, 0, 9, 0, 25], 'euler53': [1, 0, 25, 0, 2809], 'euler59': [1, 0, 54, 0, 3481], 'euler61': [1, 0, 86, 0, 3721], 'euler67': [1, -4, 138, -268, 4489], 'euler7': [1, 0, 10, 0, 49], 'euler71': [1, 0, -2, 0, 5041], 'euler73': [1, 0, 142, 0, 5329], 'euler79': [1, 0, 58, 0, 6241], 'euler83': [1, -12, 202, -996, 6889], 'euler89': [1, 0, 97, 0, 7921], 'euler97': [1, 26, 363, 2522, 9409], 'euler_factors': [[1, -2, 5, -4, 4], [1, -2, 3, 0, 0], [1, 0, 9, 0, 25], [1, 0, 10, 0, 49], [1, 0, 0, 0, 0], [1, 0, 25, 0, 169], [1, 10, 59, 170, 289], [1, 0, 2, 0, 361], [1, 0, 42, 0, 529], [1, -18, 139, -522, 841], [1, 4, 66, 124, 961], [1, 6, 83, 222, 1369], [1, 10, 107, 410, 1681], [1, 0, 86, 0, 1849], [1, 0, 90, 0, 2209], [1, 0, 25, 0, 2809], [1, 0, 54, 0, 3481], [1, 0, 86, 0, 3721], [1, -4, 138, -268, 4489], [1, 0, -2, 0, 5041], [1, 0, 142, 0, 5329], [1, 0, 58, 0, 6241], [1, -12, 202, -996, 6889], [1, 0, 97, 0, 7921], [1, 26, 363, 2522, 9409]], 'id': 9433518, 'index': 17, 'instance_types': ['ECNF', 'HMF'], 'instance_urls': ['EllipticCurve/2.2.33.1/121.1/a', 'ModularForm/GL2/TotallyReal/2.2.33.1/holomorphic/2.2.33.1-121.1-a'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': True, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': True, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-363e2-1.1-c1e2-0-17', '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': 1, 'prelabel': '4-363e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7025186029446138, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 2220294370138858436, 'z1': {'__RealLiteral__': 0, 'data': '2.02313919782203708817074154348444', 'prec': 113}}