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{'algebraic': True, 'analytic_conductor': 5703.639669678928, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 1638400, 'conductor_radical': 10, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -4, 0, -10, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 308, 0, -25, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, -796, 0, 0, 0, 0, 0, -20, 0, -674, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -1856, 0, -1140, 0, 0, 0, 0, 0, 128, 0, -629, 0, 0, 0, 0, 0, 0, 0, 1748, 0, 0, 0, 0, 0, 0, 0, 612, 0, 0, 0], 'euler11': [1, 0, -2178, 0, 1771561], 'euler13': [1, 0, -4294, 0, 4826809], 'euler17': [1, -20, 9926, -98260, 24137569], 'euler19': [1, 0, -1618, 0, 47045881], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, -308, 48050, -3747436, 148035889], 'euler29': [1, 0, 506, 0, 594823321], 'euler3': [1, 0, 10, 0, 729], 'euler31': [1, 184, 68046, 5481544, 887503681], 'euler37': [1, 0, -100150, 0, 2565726409], 'euler41': [1, 796, 296246, 54861116, 4750104241], 'euler43': [1, 0, -87190, 0, 6321363049], 'euler47': [1, 20, 207746, 2076460, 10779215329], 'euler5': [1, 0, 25, 0, 0], 'euler53': [1, 0, 40970, 0, 22164361129], 'euler59': [1, 0, 145758, 0, 42180533641], 'euler61': [1, 0, -402886, 0, 51520374361], 'euler67': [1, 0, -571942, 0, 90458382169], 'euler7': [1, 4, 690, 1372, 117649], 'euler71': [1, 1856, 1577006, 664282816, 128100283921], 'euler73': [1, 1140, 1102934, 443479380, 151334226289], 'euler79': [1, -128, 990174, -63108992, 243087455521], 'euler83': [1, 0, -397078, 0, 326940373369], 'euler89': [1, -1748, 2173814, -1232285812, 496981290961], 'euler97': [1, -612, 1918982, -558555876, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 10, 0, 729], [1, 0, 25, 0, 0], [1, 4, 690, 1372, 117649], [1, 0, -2178, 0, 1771561], [1, 0, -4294, 0, 4826809], [1, -20, 9926, -98260, 24137569], [1, 0, -1618, 0, 47045881], [1, -308, 48050, -3747436, 148035889], [1, 0, 506, 0, 594823321], [1, 184, 68046, 5481544, 887503681], [1, 0, -100150, 0, 2565726409], [1, 796, 296246, 54861116, 4750104241], [1, 0, -87190, 0, 6321363049], [1, 20, 207746, 2076460, 10779215329], [1, 0, 40970, 0, 22164361129], [1, 0, 145758, 0, 42180533641], [1, 0, -402886, 0, 51520374361], [1, 0, -571942, 0, 90458382169], [1, 1856, 1577006, 664282816, 128100283921], [1, 1140, 1102934, 443479380, 151334226289], [1, -128, 990174, -63108992, 243087455521], [1, 0, -397078, 0, 326940373369], [1, -1748, 2173814, -1232285812, 496981290961], [1, -612, 1918982, -558555876, 832972004929]], 'id': 24079219, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1280/4/d/h'], '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': '4-1280e2-1.1-c3e2-0-3', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3], 'order_of_vanishing': 0, 'prelabel': '4-1280e2-1.1-c3e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.69036505604615, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e2-0', 'trace_hash': 1039792016059722070, 'z1': {'__RealLiteral__': 0, 'data': '0.13394954640635224560905830894', 'prec': 103}}