{'dirichlet_group': [], 'frobs': [[2, [[2, 4]]], [3, [[8, 1]]], [5, [0]], [7, [0]], [11, [[8, 1]]], [13, [0]], [17, [[8, 1]]], [19, [[4, 1], [1, 4]]], [23, [[4, 1], [2, 2]]], [29, [[2, 2], [1, 4]]], [31, [[4, 1], [2, 2]]], [37, [[4, 2]]], [41, [[4, 1], [2, 2]]], [43, [[4, 1], [1, 4]]], [47, [[2, 2], [1, 4]]], [53, [[4, 1], [1, 4]]], [59, [[4, 1], [2, 2]]]], 'id': 13730394, 'label': '8.0.18832398664625.3', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': ['\\( \\frac{63}{2560} a^{7} + \\frac{11}{2560} a^{6} + \\frac{193}{2560} a^{5} + \\frac{2657}{1280} a^{4} + \\frac{2433}{640} a^{3} - \\frac{11791}{320} a^{2} + \\frac{2077}{32} a - \\frac{1177}{16} \\)', '\\( \\frac{577}{2560} a^{7} + \\frac{5877}{2560} a^{6} - \\frac{1057}{2560} a^{5} - \\frac{46513}{1280} a^{4} - \\frac{5497}{640} a^{3} + \\frac{19683}{64} a^{2} - \\frac{98353}{160} a + \\frac{10593}{16} \\)', '\\( \\frac{9}{2560} a^{7} - \\frac{7}{512} a^{6} + \\frac{183}{2560} a^{5} - \\frac{713}{1280} a^{4} + \\frac{1223}{640} a^{3} - \\frac{1417}{320} a^{2} + \\frac{823}{160} a - \\frac{63}{16} \\)'], 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a^2 - 1/2*a', '1/4*a^4 - 1/4*a^3 + 1/4*a^2', '1/16*a^5 - 1/16*a^4 + 1/16*a^3 - 1/4*a^2 - 1/2', '1/160*a^6 - 3/160*a^5 + 11/160*a^4 + 9/80*a^3 - 1/10*a^2 - 7/20*a - 1/2', '1/2560*a^7 + 1/512*a^6 + 47/2560*a^5 - 57/1280*a^4 + 47/640*a^3 + 47/320*a^2 + 7/160*a - 7/16']}
