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{'algebraic': True, 'analytic_conductor': 40.806954898944674, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 640000, 'conductor_radical': 10, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -19, 0, 121], 'euler13': [1, 0, 10, 0, 169], 'euler17': [1, 0, 31, 0, 289], 'euler19': [1, 0, -11, 0, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, -2, 0, 529], 'euler29': [1, 0, -10, 0, 841], 'euler3': [1, 0, 5, 0, 9], 'euler31': [1, 8, 78, 248, 961], 'euler37': [1, 0, 10, 0, 1369], 'euler41': [1, 6, 91, 246, 1681], 'euler43': [1, 0, 22, 0, 1849], 'euler47': [1, 0, 46, 0, 2209], 'euler5': [1, 0, 0, 0, 0], 'euler53': [1, 0, -38, 0, 2809], 'euler59': [1, 0, -10, 0, 3481], 'euler61': [1, 0, -122, 0, 3721], 'euler67': [1, 0, 85, 0, 4489], 'euler7': [1, 0, 14, 0, 49], 'euler71': [1, -24, 286, -1704, 5041], 'euler73': [1, 0, 71, 0, 5329], 'euler79': [1, -16, 222, -1264, 6241], 'euler83': [1, 0, -59, 0, 6889], 'euler89': [1, 6, 187, 534, 7921], 'euler97': [1, 0, 194, 0, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 5, 0, 9], [1, 0, 0, 0, 0], [1, 0, 14, 0, 49], [1, 0, -19, 0, 121], [1, 0, 10, 0, 169], [1, 0, 31, 0, 289], [1, 0, -11, 0, 361], [1, 0, -2, 0, 529], [1, 0, -10, 0, 841], [1, 8, 78, 248, 961], [1, 0, 10, 0, 1369], [1, 6, 91, 246, 1681], [1, 0, 22, 0, 1849], [1, 0, 46, 0, 2209], [1, 0, -38, 0, 2809], [1, 0, -10, 0, 3481], [1, 0, -122, 0, 3721], [1, 0, 85, 0, 4489], [1, -24, 286, -1704, 5041], [1, 0, 71, 0, 5329], [1, -16, 222, -1264, 6241], [1, 0, -59, 0, 6889], [1, 6, 187, 534, 7921], [1, 0, 194, 0, 9409]], 'id': 9505174, 'index': 3, 'instance_types': ['HMF', 'ECNF', 'ECNF', 'HMF'], 'instance_urls': ['ModularForm/GL2/TotallyReal/2.2.40.1/holomorphic/2.2.40.1-400.1-e', 'EllipticCurve/2.2.40.1/400.1/h', 'EllipticCurve/2.2.40.1/400.1/e', 'ModularForm/GL2/TotallyReal/2.2.40.1/holomorphic/2.2.40.1-400.1-h'], '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': '4-800e2-1.1-c1e2-0-3', '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': '4-800e2-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 2.527455669582047, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 2285102114230750619, 'z1': {'__RealLiteral__': 0, 'data': '0.50214320024975548831087623862485', 'prec': 113}}