\[ \begin{array}{llllllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{1} & & & & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{4} & \htmlTitle{3\otimes 3}{2} & & & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{3} & \htmlTitle{4\otimes 3}{1} & \htmlTitle{4\otimes 4}{2} & & & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{5} & \htmlTitle{5\otimes 3}{8} & \htmlTitle{5\otimes 4}{8} & \htmlTitle{5\otimes 5}{1 \oplus 6 \oplus 2} & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{6} & \htmlTitle{6\otimes 3}{7} & \htmlTitle{6\otimes 4}{7} & \htmlTitle{6\otimes 5}{5 \oplus 7} & \htmlTitle{6\otimes 6}{1 \oplus 8 \oplus 2} & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{7} & \htmlTitle{7\otimes 3}{6} & \htmlTitle{7\otimes 4}{6} & \htmlTitle{7\otimes 5}{6 \oplus 8} & \htmlTitle{7\otimes 6}{5 \oplus 3 \oplus 4} & \htmlTitle{7\otimes 7}{1 \oplus 8 \oplus 2} & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{8} & \htmlTitle{8\otimes 3}{5} & \htmlTitle{8\otimes 4}{5} & \htmlTitle{8\otimes 5}{7 \oplus 3 \oplus 4} & \htmlTitle{8\otimes 6}{6 \oplus 8} & \htmlTitle{8\otimes 7}{5 \oplus 7} & \htmlTitle{8\otimes 8}{1 \oplus 6 \oplus 2} & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{12} & \htmlTitle{9\otimes 3}{11} & \htmlTitle{9\otimes 4}{10} & \htmlTitle{9\otimes 5}{10 \oplus 11} & \htmlTitle{9\otimes 6}{9 \oplus 12} & \htmlTitle{9\otimes 7}{10 \oplus 11} & \htmlTitle{9\otimes 8}{9 \oplus 12} & \htmlTitle{9\otimes 9}{5 \oplus 7 \oplus 3} & & & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{11} & \htmlTitle{10\otimes 3}{9} & \htmlTitle{10\otimes 4}{12} & \htmlTitle{10\otimes 5}{9 \oplus 12} & \htmlTitle{10\otimes 6}{10 \oplus 11} & \htmlTitle{10\otimes 7}{9 \oplus 12} & \htmlTitle{10\otimes 8}{10 \oplus 11} & \htmlTitle{10\otimes 9}{1 \oplus 6 \oplus 8} & \htmlTitle{10\otimes 10}{5 \oplus 7 \oplus 4} & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{10} & \htmlTitle{11\otimes 3}{12} & \htmlTitle{11\otimes 4}{9} & \htmlTitle{11\otimes 5}{9 \oplus 12} & \htmlTitle{11\otimes 6}{10 \oplus 11} & \htmlTitle{11\otimes 7}{9 \oplus 12} & \htmlTitle{11\otimes 8}{10 \oplus 11} & \htmlTitle{11\otimes 9}{6 \oplus 8 \oplus 2} & \htmlTitle{11\otimes 10}{5 \oplus 7 \oplus 3} & \htmlTitle{11\otimes 11}{5 \oplus 7 \oplus 4} & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{9} & \htmlTitle{12\otimes 3}{10} & \htmlTitle{12\otimes 4}{11} & \htmlTitle{12\otimes 5}{10 \oplus 11} & \htmlTitle{12\otimes 6}{9 \oplus 12} & \htmlTitle{12\otimes 7}{10 \oplus 11} & \htmlTitle{12\otimes 8}{9 \oplus 12} & \htmlTitle{12\otimes 9}{5 \oplus 7 \oplus 4} & \htmlTitle{12\otimes 10}{6 \oplus 8 \oplus 2} & \htmlTitle{12\otimes 11}{1 \oplus 6 \oplus 8} & \htmlTitle{12\otimes 12}{5 \oplus 7 \oplus 3} \\ \end{array} \]

\[ \left(\begin{array}{llllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{1} & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{1} & \htmlTitle{S_{3; 2}}{1} & \htmlTitle{S_{3; 3}}{-1} & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{1} & \htmlTitle{S_{4; 2}}{1} & \htmlTitle{S_{4; 3}}{-1} & \htmlTitle{S_{4; 4}}{-1} & & & & & & & & \\ \htmlTitle{S_{5; 1}}{2} & \htmlTitle{S_{5; 2}}{2} & \htmlTitle{S_{5; 3}}{-2} & \htmlTitle{S_{5; 4}}{-2} & \htmlTitle{S_{5; 5}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16} + 2} & & & & & & & \\ \htmlTitle{S_{6; 1}}{2} & \htmlTitle{S_{6; 2}}{2} & \htmlTitle{S_{6; 3}}{2} & \htmlTitle{S_{6; 4}}{2} & \htmlTitle{S_{6; 5}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16}} & \htmlTitle{S_{6; 6}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 2} & & & & & & \\ \htmlTitle{S_{7; 1}}{2} & \htmlTitle{S_{7; 2}}{2} & \htmlTitle{S_{7; 3}}{-2} & \htmlTitle{S_{7; 4}}{-2} & \htmlTitle{S_{7; 5}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16}} & \htmlTitle{S_{7; 6}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 2} & \htmlTitle{S_{7; 7}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16} + 2} & & & & & \\ \htmlTitle{S_{8; 1}}{2} & \htmlTitle{S_{8; 2}}{2} & \htmlTitle{S_{8; 3}}{2} & \htmlTitle{S_{8; 4}}{2} & \htmlTitle{S_{8; 5}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 2} & \htmlTitle{S_{8; 6}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16}} & \htmlTitle{S_{8; 7}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16}} & \htmlTitle{S_{8; 8}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 2} & & & & \\ \htmlTitle{S_{9; 1}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16} + 1} & \htmlTitle{S_{9; 2}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 1} & \htmlTitle{S_{9; 3}}{-2 \zeta_{80}^{28} + \zeta_{80}^{20} - 2 \zeta_{80}^{12}} & \htmlTitle{S_{9; 4}}{2 \zeta_{80}^{28} - \zeta_{80}^{20} + 2 \zeta_{80}^{12}} & \htmlTitle{S_{9; 5}}{0} & \htmlTitle{S_{9; 6}}{0} & \htmlTitle{S_{9; 7}}{0} & \htmlTitle{S_{9; 8}}{0} & \htmlTitle{S_{9; 9}}{-\zeta_{80}^{30} - 2 \zeta_{80}^{14} + 2 \zeta_{80}^{6}} & & & \\ \htmlTitle{S_{10; 1}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16} + 1} & \htmlTitle{S_{10; 2}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 1} & \htmlTitle{S_{10; 3}}{2 \zeta_{80}^{28} - \zeta_{80}^{20} + 2 \zeta_{80}^{12}} & \htmlTitle{S_{10; 4}}{-2 \zeta_{80}^{28} + \zeta_{80}^{20} - 2 \zeta_{80}^{12}} & \htmlTitle{S_{10; 5}}{0} & \htmlTitle{S_{10; 6}}{0} & \htmlTitle{S_{10; 7}}{0} & \htmlTitle{S_{10; 8}}{0} & \htmlTitle{S_{10; 9}}{2 \zeta_{80}^{18} - \zeta_{80}^{10} + 2 \zeta_{80}^{2}} & \htmlTitle{S_{10; 10}}{-\zeta_{80}^{30} - 2 \zeta_{80}^{14} + 2 \zeta_{80}^{6}} & & \\ \htmlTitle{S_{11; 1}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16} + 1} & \htmlTitle{S_{11; 2}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 1} & \htmlTitle{S_{11; 3}}{2 \zeta_{80}^{28} - \zeta_{80}^{20} + 2 \zeta_{80}^{12}} & \htmlTitle{S_{11; 4}}{-2 \zeta_{80}^{28} + \zeta_{80}^{20} - 2 \zeta_{80}^{12}} & \htmlTitle{S_{11; 5}}{0} & \htmlTitle{S_{11; 6}}{0} & \htmlTitle{S_{11; 7}}{0} & \htmlTitle{S_{11; 8}}{0} & \htmlTitle{S_{11; 9}}{-2 \zeta_{80}^{18} + \zeta_{80}^{10} - 2 \zeta_{80}^{2}} & \htmlTitle{S_{11; 10}}{\zeta_{80}^{30} + 2 \zeta_{80}^{14} - 2 \zeta_{80}^{6}} & \htmlTitle{S_{11; 11}}{-\zeta_{80}^{30} - 2 \zeta_{80}^{14} + 2 \zeta_{80}^{6}} & \\ \htmlTitle{S_{12; 1}}{-2 \zeta_{80}^{24} + 2 \zeta_{80}^{16} + 1} & \htmlTitle{S_{12; 2}}{2 \zeta_{80}^{24} - 2 \zeta_{80}^{16} - 1} & \htmlTitle{S_{12; 3}}{-2 \zeta_{80}^{28} + \zeta_{80}^{20} - 2 \zeta_{80}^{12}} & \htmlTitle{S_{12; 4}}{2 \zeta_{80}^{28} - \zeta_{80}^{20} + 2 \zeta_{80}^{12}} & \htmlTitle{S_{12; 5}}{0} & \htmlTitle{S_{12; 6}}{0} & \htmlTitle{S_{12; 7}}{0} & \htmlTitle{S_{12; 8}}{0} & \htmlTitle{S_{12; 9}}{\zeta_{80}^{30} + 2 \zeta_{80}^{14} - 2 \zeta_{80}^{6}} & \htmlTitle{S_{12; 10}}{-2 \zeta_{80}^{18} + \zeta_{80}^{10} - 2 \zeta_{80}^{2}} & \htmlTitle{S_{12; 11}}{2 \zeta_{80}^{18} - \zeta_{80}^{10} + 2 \zeta_{80}^{2}} & \htmlTitle{S_{12; 12}}{-\zeta_{80}^{30} - 2 \zeta_{80}^{14} + 2 \zeta_{80}^{6}}\end{array}\right) \]