\[ \begin{array}{lllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{3} & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{1} & \htmlTitle{3\otimes 3}{2} & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{5} & \htmlTitle{4\otimes 3}{6} & \htmlTitle{4\otimes 4}{1 \oplus 9} & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{6} & \htmlTitle{5\otimes 3}{4} & \htmlTitle{5\otimes 4}{8 \oplus 2} & \htmlTitle{5\otimes 5}{3 \oplus 7} & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{4} & \htmlTitle{6\otimes 3}{5} & \htmlTitle{6\otimes 4}{3 \oplus 7} & \htmlTitle{6\otimes 5}{1 \oplus 9} & \htmlTitle{6\otimes 6}{8 \oplus 2} & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{9} & \htmlTitle{7\otimes 3}{8} & \htmlTitle{7\otimes 4}{6 \oplus 7} & \htmlTitle{7\otimes 5}{4 \oplus 9} & \htmlTitle{7\otimes 6}{5 \oplus 8} & \htmlTitle{7\otimes 7}{5 \oplus 8 \oplus 2} & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{7} & \htmlTitle{8\otimes 3}{9} & \htmlTitle{8\otimes 4}{5 \oplus 8} & \htmlTitle{8\otimes 5}{6 \oplus 7} & \htmlTitle{8\otimes 6}{4 \oplus 9} & \htmlTitle{8\otimes 7}{1 \oplus 4 \oplus 9} & \htmlTitle{8\otimes 8}{6 \oplus 3 \oplus 7} & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{8} & \htmlTitle{9\otimes 3}{7} & \htmlTitle{9\otimes 4}{4 \oplus 9} & \htmlTitle{9\otimes 5}{5 \oplus 8} & \htmlTitle{9\otimes 6}{6 \oplus 7} & \htmlTitle{9\otimes 7}{6 \oplus 3 \oplus 7} & \htmlTitle{9\otimes 8}{5 \oplus 8 \oplus 2} & \htmlTitle{9\otimes 9}{1 \oplus 4 \oplus 9} \\ \end{array} \]

\[ \left(\begin{array}{lllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{\zeta_{168}^{28} - 1} & & & & & & & \\ \htmlTitle{S_{3; 1}}{1} & \htmlTitle{S_{3; 2}}{-\zeta_{168}^{28}} & \htmlTitle{S_{3; 3}}{\zeta_{168}^{28} - 1} & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{168}^{44} + \zeta_{168}^{16} + \zeta_{168}^{12}} & \htmlTitle{S_{4; 2}}{-\zeta_{168}^{44} + \zeta_{168}^{16} + \zeta_{168}^{12}} & \htmlTitle{S_{4; 3}}{-\zeta_{168}^{44} + \zeta_{168}^{16} + \zeta_{168}^{12}} & \htmlTitle{S_{4; 4}}{\zeta_{168}^{32} - \zeta_{168}^{24} - \zeta_{168}^{4} - 1} & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{168}^{44} + \zeta_{168}^{16} + \zeta_{168}^{12}} & \htmlTitle{S_{5; 2}}{\zeta_{168}^{44} + \zeta_{168}^{40} - \zeta_{168}^{12}} & \htmlTitle{S_{5; 3}}{-\zeta_{168}^{40} - \zeta_{168}^{16}} & \htmlTitle{S_{5; 4}}{\zeta_{168}^{32} - \zeta_{168}^{24} - \zeta_{168}^{4} - 1} & \htmlTitle{S_{5; 5}}{-\zeta_{168}^{44} - \zeta_{168}^{40} - \zeta_{168}^{20} + \zeta_{168}^{12} + \zeta_{168}^{8}} & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{168}^{44} + \zeta_{168}^{16} + \zeta_{168}^{12}} & \htmlTitle{S_{6; 2}}{-\zeta_{168}^{40} - \zeta_{168}^{16}} & \htmlTitle{S_{6; 3}}{\zeta_{168}^{44} + \zeta_{168}^{40} - \zeta_{168}^{12}} & \htmlTitle{S_{6; 4}}{\zeta_{168}^{32} - \zeta_{168}^{24} - \zeta_{168}^{4} - 1} & \htmlTitle{S_{6; 5}}{\zeta_{168}^{44} + \zeta_{168}^{40} - \zeta_{168}^{32} + \zeta_{168}^{24} + \zeta_{168}^{20} - \zeta_{168}^{12} - \zeta_{168}^{8} + \zeta_{168}^{4} + 1} & \htmlTitle{S_{6; 6}}{-\zeta_{168}^{44} - \zeta_{168}^{40} - \zeta_{168}^{20} + \zeta_{168}^{12} + \zeta_{168}^{8}} & & & \\ \htmlTitle{S_{7; 1}}{-\zeta_{168}^{32} + \zeta_{168}^{24} + \zeta_{168}^{4} + 1} & \htmlTitle{S_{7; 2}}{-\zeta_{168}^{44} - \zeta_{168}^{40} + \zeta_{168}^{32} - \zeta_{168}^{24} - \zeta_{168}^{20} + \zeta_{168}^{12} + \zeta_{168}^{8} - \zeta_{168}^{4} - 1} & \htmlTitle{S_{7; 3}}{\zeta_{168}^{44} + \zeta_{168}^{40} + \zeta_{168}^{20} - \zeta_{168}^{12} - \zeta_{168}^{8}} & \htmlTitle{S_{7; 4}}{1} & \htmlTitle{S_{7; 5}}{-\zeta_{168}^{28}} & \htmlTitle{S_{7; 6}}{\zeta_{168}^{28} - 1} & \htmlTitle{S_{7; 7}}{-\zeta_{168}^{44} - \zeta_{168}^{40} + \zeta_{168}^{12}} & & \\ \htmlTitle{S_{8; 1}}{-\zeta_{168}^{32} + \zeta_{168}^{24} + \zeta_{168}^{4} + 1} & \htmlTitle{S_{8; 2}}{\zeta_{168}^{44} + \zeta_{168}^{40} + \zeta_{168}^{20} - \zeta_{168}^{12} - \zeta_{168}^{8}} & \htmlTitle{S_{8; 3}}{-\zeta_{168}^{44} - \zeta_{168}^{40} + \zeta_{168}^{32} - \zeta_{168}^{24} - \zeta_{168}^{20} + \zeta_{168}^{12} + \zeta_{168}^{8} - \zeta_{168}^{4} - 1} & \htmlTitle{S_{8; 4}}{1} & \htmlTitle{S_{8; 5}}{\zeta_{168}^{28} - 1} & \htmlTitle{S_{8; 6}}{-\zeta_{168}^{28}} & \htmlTitle{S_{8; 7}}{\zeta_{168}^{40} + \zeta_{168}^{16}} & \htmlTitle{S_{8; 8}}{-\zeta_{168}^{44} - \zeta_{168}^{40} + \zeta_{168}^{12}} & \\ \htmlTitle{S_{9; 1}}{-\zeta_{168}^{32} + \zeta_{168}^{24} + \zeta_{168}^{4} + 1} & \htmlTitle{S_{9; 2}}{-\zeta_{168}^{32} + \zeta_{168}^{24} + \zeta_{168}^{4} + 1} & \htmlTitle{S_{9; 3}}{-\zeta_{168}^{32} + \zeta_{168}^{24} + \zeta_{168}^{4} + 1} & \htmlTitle{S_{9; 4}}{1} & \htmlTitle{S_{9; 5}}{1} & \htmlTitle{S_{9; 6}}{1} & \htmlTitle{S_{9; 7}}{\zeta_{168}^{44} - \zeta_{168}^{16} - \zeta_{168}^{12}} & \htmlTitle{S_{9; 8}}{\zeta_{168}^{44} - \zeta_{168}^{16} - \zeta_{168}^{12}} & \htmlTitle{S_{9; 9}}{\zeta_{168}^{44} - \zeta_{168}^{16} - \zeta_{168}^{12}}\end{array}\right) \]