{'dirichlet_group': [], 'frobs': [[2, [0]], [3, [0]], [5, [[8, 1]]], [7, [[8, 1]]], [11, [[4, 2]]], [13, [[2, 3], [1, 2]]], [17, [[4, 2]]], [19, [[2, 4]]], [23, [[2, 3], [1, 2]]], [29, [[8, 1]]], [31, [[8, 1]]], [37, [[2, 3], [1, 2]]], [41, [[4, 2]]], [43, [[2, 4]]], [47, [[2, 3], [1, 2]]], [53, [[8, 1]]], [59, [[2, 2], [1, 4]]]], 'id': 13050850, 'label': '8.2.97844723712.2', 'res': {'ae': ['-162,0,0,0,42,0,12,0,1'], 'gal': ['6561,0,0,0,-52488,0,0,0,158922,0,0,0,-151632,0,0,0,70227,0,0,0,-16848,0,0,0,1962,0,0,0,-72,0,0,0,1'], 'sib': ['324,0,0,0,1620,0,-2160,0,1278,0,-432,0,90,0,-12,0,1', '729,0,-1944,0,2214,0,-1296,0,297,0,0,0,18,0,0,0,1', '729,0,0,0,-756,0,0,0,378,0,0,0,36,0,0,0,1', '81,0,0,0,-432,0,0,0,-378,0,0,0,-48,0,0,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{2}{9} a^{6} - \\frac{5}{3} a^{4} + \\frac{4}{3} a^{2} + 11 \\)', '\\( \\frac{1}{3} a^{6} - \\frac{8}{3} a^{4} + 3 a^{2} + 13 \\)', '\\( \\frac{8}{27} a^{7} - \\frac{2}{9} a^{6} - \\frac{20}{9} a^{5} + 2 a^{4} + \\frac{22}{9} a^{3} - \\frac{10}{3} a^{2} + 10 a - 11 \\)', '\\( \\frac{2}{27} a^{7} - \\frac{2}{9} a^{6} - \\frac{20}{9} a^{5} - 2 a^{4} + \\frac{46}{9} a^{3} + \\frac{26}{3} a^{2} + 14 a + 19 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4', '1/3*a^5', '1/9*a^6 - 1/3*a^2', '1/27*a^7 - 1/9*a^5 - 4/9*a^3']}
