{'dirichlet_group': [], 'frobs': [[2, [0]], [3, [0]], [5, [[2, 3], [1, 2]]], [7, [[4, 2]]], [11, [[8, 1]]], [13, [[2, 3], [1, 2]]], [17, [[2, 2], [1, 4]]], [19, [[8, 1]]], [23, [[2, 4]]], [29, [[2, 3], [1, 2]]], [31, [[4, 2]]], [37, [[2, 3], [1, 2]]], [41, [[4, 2]]], [43, [[8, 1]]], [47, [[2, 4]]], [53, [[2, 3], [1, 2]]], [59, [[8, 1]]]], 'id': 13050870, 'label': '8.0.97844723712.2', 'res': {'ae': ['450,0,-288,0,78,0,-12,0,1'], 'gal': ['6561,0,0,0,17496,0,0,0,53946,0,0,0,-15552,0,0,0,13203,0,0,0,1728,0,0,0,666,0,0,0,-24,0,0,0,1'], 'sib': ['2025,0,-3888,0,5292,0,-2592,0,522,0,-144,0,36,0,0,0,1', '324,0,-1296,0,3024,0,-3456,0,2304,0,-936,0,216,0,-24,0,1', '6561,0,0,0,-3888,0,0,0,774,0,0,0,-48,0,0,0,1', '81,0,0,0,216,0,0,0,-90,0,0,0,-24,0,0,0,1']}, 'torsion_gen': '\\( \\frac{2}{3} a^{6} - \\frac{25}{3} a^{4} + 48 a^{2} + 25 \\)', 'units': ['\\( \\frac{6}{5} a^{6} - \\frac{224}{15} a^{4} + \\frac{429}{5} a^{2} + \\frac{243}{5} \\)', '\\( \\frac{2}{3} a^{7} - \\frac{2}{15} a^{6} - \\frac{25}{3} a^{5} + \\frac{26}{15} a^{4} + 48 a^{3} - \\frac{51}{5} a^{2} + 26 a - \\frac{27}{5} \\)', '\\( 654 a^{7} - \\frac{691}{3} a^{6} - \\frac{24503}{3} a^{5} + \\frac{8599}{3} a^{4} + 47156 a^{3} - 16475 a^{2} + 24042 a - 9269 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4', '1/3*a^5', '1/15*a^6 + 2/15*a^4 - 2/5*a^2 + 1/5', '1/15*a^7 + 2/15*a^5 - 2/5*a^3 + 1/5*a']}
