\[ \begin{array}{lllllllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{1} & & & & & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{3} & \htmlTitle{3\otimes 3}{1 \oplus 4 \oplus 2} & & & & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{4} & \htmlTitle{4\otimes 3}{3 \oplus 5} & \htmlTitle{4\otimes 4}{1 \oplus 6 \oplus 2} & & & & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{5} & \htmlTitle{5\otimes 3}{4 \oplus 6} & \htmlTitle{5\otimes 4}{3 \oplus 7} & \htmlTitle{5\otimes 5}{1 \oplus 8 \oplus 2} & & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{6} & \htmlTitle{6\otimes 3}{5 \oplus 7} & \htmlTitle{6\otimes 4}{4 \oplus 8} & \htmlTitle{6\otimes 5}{3 \oplus 9} & \htmlTitle{6\otimes 6}{1 \oplus 10 \oplus 2} & & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{7} & \htmlTitle{7\otimes 3}{6 \oplus 8} & \htmlTitle{7\otimes 4}{5 \oplus 9} & \htmlTitle{7\otimes 5}{4 \oplus 10} & \htmlTitle{7\otimes 6}{3 \oplus 11} & \htmlTitle{7\otimes 7}{1 \oplus 11 \oplus 2} & & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{8} & \htmlTitle{8\otimes 3}{7 \oplus 9} & \htmlTitle{8\otimes 4}{6 \oplus 10} & \htmlTitle{8\otimes 5}{5 \oplus 11} & \htmlTitle{8\otimes 6}{4 \oplus 11} & \htmlTitle{8\otimes 7}{3 \oplus 10} & \htmlTitle{8\otimes 8}{1 \oplus 9 \oplus 2} & & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{9} & \htmlTitle{9\otimes 3}{8 \oplus 10} & \htmlTitle{9\otimes 4}{7 \oplus 11} & \htmlTitle{9\otimes 5}{6 \oplus 11} & \htmlTitle{9\otimes 6}{5 \oplus 10} & \htmlTitle{9\otimes 7}{4 \oplus 9} & \htmlTitle{9\otimes 8}{3 \oplus 8} & \htmlTitle{9\otimes 9}{1 \oplus 7 \oplus 2} & & & & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{10} & \htmlTitle{10\otimes 3}{9 \oplus 11} & \htmlTitle{10\otimes 4}{8 \oplus 11} & \htmlTitle{10\otimes 5}{7 \oplus 10} & \htmlTitle{10\otimes 6}{6 \oplus 9} & \htmlTitle{10\otimes 7}{5 \oplus 8} & \htmlTitle{10\otimes 8}{4 \oplus 7} & \htmlTitle{10\otimes 9}{3 \oplus 6} & \htmlTitle{10\otimes 10}{1 \oplus 5 \oplus 2} & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{11} & \htmlTitle{11\otimes 3}{10 \oplus 11} & \htmlTitle{11\otimes 4}{9 \oplus 10} & \htmlTitle{11\otimes 5}{8 \oplus 9} & \htmlTitle{11\otimes 6}{7 \oplus 8} & \htmlTitle{11\otimes 7}{6 \oplus 7} & \htmlTitle{11\otimes 8}{5 \oplus 6} & \htmlTitle{11\otimes 9}{4 \oplus 5} & \htmlTitle{11\otimes 10}{3 \oplus 4} & \htmlTitle{11\otimes 11}{1 \oplus 3 \oplus 2} & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{13} & \htmlTitle{12\otimes 3}{12 \oplus 13} & \htmlTitle{12\otimes 4}{12 \oplus 13} & \htmlTitle{12\otimes 5}{12 \oplus 13} & \htmlTitle{12\otimes 6}{12 \oplus 13} & \htmlTitle{12\otimes 7}{12 \oplus 13} & \htmlTitle{12\otimes 8}{12 \oplus 13} & \htmlTitle{12\otimes 9}{12 \oplus 13} & \htmlTitle{12\otimes 10}{12 \oplus 13} & \htmlTitle{12\otimes 11}{12 \oplus 13} & \htmlTitle{12\otimes 12}{1 \oplus 3 \oplus 4 \oplus 5 \oplus 6 \oplus 7 \oplus 8 \oplus 9 \oplus 10 \oplus 11} & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{12} & \htmlTitle{13\otimes 3}{12 \oplus 13} & \htmlTitle{13\otimes 4}{12 \oplus 13} & \htmlTitle{13\otimes 5}{12 \oplus 13} & \htmlTitle{13\otimes 6}{12 \oplus 13} & \htmlTitle{13\otimes 7}{12 \oplus 13} & \htmlTitle{13\otimes 8}{12 \oplus 13} & \htmlTitle{13\otimes 9}{12 \oplus 13} & \htmlTitle{13\otimes 10}{12 \oplus 13} & \htmlTitle{13\otimes 11}{12 \oplus 13} & \htmlTitle{13\otimes 12}{3 \oplus 4 \oplus 5 \oplus 6 \oplus 7 \oplus 8 \oplus 9 \oplus 10 \oplus 11 \oplus 2} & \htmlTitle{13\otimes 13}{1 \oplus 3 \oplus 4 \oplus 5 \oplus 6 \oplus 7 \oplus 8 \oplus 9 \oplus 10 \oplus 11} \\ \end{array} \]

\[ \left(\begin{array}{lllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{1} & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{2} & \htmlTitle{S_{3; 2}}{2} & \htmlTitle{S_{3; 3}}{-2 \zeta_{152}^{68} + 2 \zeta_{152}^{8}} & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{2} & \htmlTitle{S_{4; 2}}{2} & \htmlTitle{S_{4; 3}}{-2 \zeta_{152}^{60} + 2 \zeta_{152}^{16}} & \htmlTitle{S_{4; 4}}{-2 \zeta_{152}^{44} + 2 \zeta_{152}^{32}} & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{2} & \htmlTitle{S_{5; 2}}{2} & \htmlTitle{S_{5; 3}}{-2 \zeta_{152}^{52} + 2 \zeta_{152}^{24}} & \htmlTitle{S_{5; 4}}{2 \zeta_{152}^{48} - 2 \zeta_{152}^{28}} & \htmlTitle{S_{5; 5}}{2 \zeta_{152}^{68} - 2 \zeta_{152}^{64} + 2 \zeta_{152}^{60} - 2 \zeta_{152}^{56} + 2 \zeta_{152}^{52} - 2 \zeta_{152}^{48} + 2 \zeta_{152}^{44} - 2 \zeta_{152}^{40} + 2 \zeta_{152}^{36} - 2 \zeta_{152}^{32} + 2 \zeta_{152}^{28} - 2 \zeta_{152}^{24} + 2 \zeta_{152}^{20} - 2 \zeta_{152}^{16} + 2 \zeta_{152}^{12} - 2 \zeta_{152}^{8} - 2} & & & & & & & & \\ \htmlTitle{S_{6; 1}}{2} & \htmlTitle{S_{6; 2}}{2} & \htmlTitle{S_{6; 3}}{-2 \zeta_{152}^{44} + 2 \zeta_{152}^{32}} & \htmlTitle{S_{6; 4}}{2 \zeta_{152}^{64} - 2 \zeta_{152}^{12}} & \htmlTitle{S_{6; 5}}{2 \zeta_{152}^{56} - 2 \zeta_{152}^{20}} & \htmlTitle{S_{6; 6}}{-2 \zeta_{152}^{52} + 2 \zeta_{152}^{24}} & & & & & & & \\ \htmlTitle{S_{7; 1}}{2} & \htmlTitle{S_{7; 2}}{2} & \htmlTitle{S_{7; 3}}{2 \zeta_{152}^{40} - 2 \zeta_{152}^{36}} & \htmlTitle{S_{7; 4}}{2 \zeta_{152}^{68} - 2 \zeta_{152}^{64} + 2 \zeta_{152}^{60} - 2 \zeta_{152}^{56} + 2 \zeta_{152}^{52} - 2 \zeta_{152}^{48} + 2 \zeta_{152}^{44} - 2 \zeta_{152}^{40} + 2 \zeta_{152}^{36} - 2 \zeta_{152}^{32} + 2 \zeta_{152}^{28} - 2 \zeta_{152}^{24} + 2 \zeta_{152}^{20} - 2 \zeta_{152}^{16} + 2 \zeta_{152}^{12} - 2 \zeta_{152}^{8} - 2} & \htmlTitle{S_{7; 5}}{-2 \zeta_{152}^{44} + 2 \zeta_{152}^{32}} & \htmlTitle{S_{7; 6}}{-2 \zeta_{152}^{68} + 2 \zeta_{152}^{8}} & \htmlTitle{S_{7; 7}}{2 \zeta_{152}^{48} - 2 \zeta_{152}^{28}} & & & & & & \\ \htmlTitle{S_{8; 1}}{2} & \htmlTitle{S_{8; 2}}{2} & \htmlTitle{S_{8; 3}}{2 \zeta_{152}^{48} - 2 \zeta_{152}^{28}} & \htmlTitle{S_{8; 4}}{2 \zeta_{152}^{56} - 2 \zeta_{152}^{20}} & \htmlTitle{S_{8; 5}}{-2 \zeta_{152}^{68} + 2 \zeta_{152}^{8}} & \htmlTitle{S_{8; 6}}{2 \zeta_{152}^{40} - 2 \zeta_{152}^{36}} & \htmlTitle{S_{8; 7}}{2 \zeta_{152}^{64} - 2 \zeta_{152}^{12}} & \htmlTitle{S_{8; 8}}{-2 \zeta_{152}^{60} + 2 \zeta_{152}^{16}} & & & & & \\ \htmlTitle{S_{9; 1}}{2} & \htmlTitle{S_{9; 2}}{2} & \htmlTitle{S_{9; 3}}{2 \zeta_{152}^{56} - 2 \zeta_{152}^{20}} & \htmlTitle{S_{9; 4}}{2 \zeta_{152}^{40} - 2 \zeta_{152}^{36}} & \htmlTitle{S_{9; 5}}{-2 \zeta_{152}^{60} + 2 \zeta_{152}^{16}} & \htmlTitle{S_{9; 6}}{2 \zeta_{152}^{68} - 2 \zeta_{152}^{64} + 2 \zeta_{152}^{60} - 2 \zeta_{152}^{56} + 2 \zeta_{152}^{52} - 2 \zeta_{152}^{48} + 2 \zeta_{152}^{44} - 2 \zeta_{152}^{40} + 2 \zeta_{152}^{36} - 2 \zeta_{152}^{32} + 2 \zeta_{152}^{28} - 2 \zeta_{152}^{24} + 2 \zeta_{152}^{20} - 2 \zeta_{152}^{16} + 2 \zeta_{152}^{12} - 2 \zeta_{152}^{8} - 2} & \htmlTitle{S_{9; 7}}{-2 \zeta_{152}^{52} + 2 \zeta_{152}^{24}} & \htmlTitle{S_{9; 8}}{-2 \zeta_{152}^{44} + 2 \zeta_{152}^{32}} & \htmlTitle{S_{9; 9}}{2 \zeta_{152}^{64} - 2 \zeta_{152}^{12}} & & & & \\ \htmlTitle{S_{10; 1}}{2} & \htmlTitle{S_{10; 2}}{2} & \htmlTitle{S_{10; 3}}{2 \zeta_{152}^{64} - 2 \zeta_{152}^{12}} & \htmlTitle{S_{10; 4}}{-2 \zeta_{152}^{52} + 2 \zeta_{152}^{24}} & \htmlTitle{S_{10; 5}}{2 \zeta_{152}^{40} - 2 \zeta_{152}^{36}} & \htmlTitle{S_{10; 6}}{2 \zeta_{152}^{48} - 2 \zeta_{152}^{28}} & \htmlTitle{S_{10; 7}}{-2 \zeta_{152}^{60} + 2 \zeta_{152}^{16}} & \htmlTitle{S_{10; 8}}{2 \zeta_{152}^{68} - 2 \zeta_{152}^{64} + 2 \zeta_{152}^{60} - 2 \zeta_{152}^{56} + 2 \zeta_{152}^{52} - 2 \zeta_{152}^{48} + 2 \zeta_{152}^{44} - 2 \zeta_{152}^{40} + 2 \zeta_{152}^{36} - 2 \zeta_{152}^{32} + 2 \zeta_{152}^{28} - 2 \zeta_{152}^{24} + 2 \zeta_{152}^{20} - 2 \zeta_{152}^{16} + 2 \zeta_{152}^{12} - 2 \zeta_{152}^{8} - 2} & \htmlTitle{S_{10; 9}}{-2 \zeta_{152}^{68} + 2 \zeta_{152}^{8}} & \htmlTitle{S_{10; 10}}{2 \zeta_{152}^{56} - 2 \zeta_{152}^{20}} & & & \\ \htmlTitle{S_{11; 1}}{2} & \htmlTitle{S_{11; 2}}{2} & \htmlTitle{S_{11; 3}}{2 \zeta_{152}^{68} - 2 \zeta_{152}^{64} + 2 \zeta_{152}^{60} - 2 \zeta_{152}^{56} + 2 \zeta_{152}^{52} - 2 \zeta_{152}^{48} + 2 \zeta_{152}^{44} - 2 \zeta_{152}^{40} + 2 \zeta_{152}^{36} - 2 \zeta_{152}^{32} + 2 \zeta_{152}^{28} - 2 \zeta_{152}^{24} + 2 \zeta_{152}^{20} - 2 \zeta_{152}^{16} + 2 \zeta_{152}^{12} - 2 \zeta_{152}^{8} - 2} & \htmlTitle{S_{11; 4}}{-2 \zeta_{152}^{68} + 2 \zeta_{152}^{8}} & \htmlTitle{S_{11; 5}}{2 \zeta_{152}^{64} - 2 \zeta_{152}^{12}} & \htmlTitle{S_{11; 6}}{-2 \zeta_{152}^{60} + 2 \zeta_{152}^{16}} & \htmlTitle{S_{11; 7}}{2 \zeta_{152}^{56} - 2 \zeta_{152}^{20}} & \htmlTitle{S_{11; 8}}{-2 \zeta_{152}^{52} + 2 \zeta_{152}^{24}} & \htmlTitle{S_{11; 9}}{2 \zeta_{152}^{48} - 2 \zeta_{152}^{28}} & \htmlTitle{S_{11; 10}}{-2 \zeta_{152}^{44} + 2 \zeta_{152}^{32}} & \htmlTitle{S_{11; 11}}{2 \zeta_{152}^{40} - 2 \zeta_{152}^{36}} & & \\ \htmlTitle{S_{12; 1}}{-2 \zeta_{152}^{70} + 2 \zeta_{152}^{50} - 2 \zeta_{152}^{46} - \zeta_{152}^{38} + 2 \zeta_{152}^{34} - 2 \zeta_{152}^{22} + 2 \zeta_{152}^{18} - 2 \zeta_{152}^{14} + 2 \zeta_{152}^{10} + 2 \zeta_{152}^{2}} & \htmlTitle{S_{12; 2}}{2 \zeta_{152}^{70} - 2 \zeta_{152}^{50} + 2 \zeta_{152}^{46} + \zeta_{152}^{38} - 2 \zeta_{152}^{34} + 2 \zeta_{152}^{22} - 2 \zeta_{152}^{18} + 2 \zeta_{152}^{14} - 2 \zeta_{152}^{10} - 2 \zeta_{152}^{2}} & \htmlTitle{S_{12; 3}}{0} & \htmlTitle{S_{12; 4}}{0} & \htmlTitle{S_{12; 5}}{0} & \htmlTitle{S_{12; 6}}{0} & \htmlTitle{S_{12; 7}}{0} & \htmlTitle{S_{12; 8}}{0} & \htmlTitle{S_{12; 9}}{0} & \htmlTitle{S_{12; 10}}{0} & \htmlTitle{S_{12; 11}}{0} & \htmlTitle{S_{12; 12}}{-2 \zeta_{152}^{70} + 2 \zeta_{152}^{50} - 2 \zeta_{152}^{46} - \zeta_{152}^{38} + 2 \zeta_{152}^{34} - 2 \zeta_{152}^{22} + 2 \zeta_{152}^{18} - 2 \zeta_{152}^{14} + 2 \zeta_{152}^{10} + 2 \zeta_{152}^{2}} & \\ \htmlTitle{S_{13; 1}}{-2 \zeta_{152}^{70} + 2 \zeta_{152}^{50} - 2 \zeta_{152}^{46} - \zeta_{152}^{38} + 2 \zeta_{152}^{34} - 2 \zeta_{152}^{22} + 2 \zeta_{152}^{18} - 2 \zeta_{152}^{14} + 2 \zeta_{152}^{10} + 2 \zeta_{152}^{2}} & \htmlTitle{S_{13; 2}}{2 \zeta_{152}^{70} - 2 \zeta_{152}^{50} + 2 \zeta_{152}^{46} + \zeta_{152}^{38} - 2 \zeta_{152}^{34} + 2 \zeta_{152}^{22} - 2 \zeta_{152}^{18} + 2 \zeta_{152}^{14} - 2 \zeta_{152}^{10} - 2 \zeta_{152}^{2}} & \htmlTitle{S_{13; 3}}{0} & \htmlTitle{S_{13; 4}}{0} & \htmlTitle{S_{13; 5}}{0} & \htmlTitle{S_{13; 6}}{0} & \htmlTitle{S_{13; 7}}{0} & \htmlTitle{S_{13; 8}}{0} & \htmlTitle{S_{13; 9}}{0} & \htmlTitle{S_{13; 10}}{0} & \htmlTitle{S_{13; 11}}{0} & \htmlTitle{S_{13; 12}}{2 \zeta_{152}^{70} - 2 \zeta_{152}^{50} + 2 \zeta_{152}^{46} + \zeta_{152}^{38} - 2 \zeta_{152}^{34} + 2 \zeta_{152}^{22} - 2 \zeta_{152}^{18} + 2 \zeta_{152}^{14} - 2 \zeta_{152}^{10} - 2 \zeta_{152}^{2}} & \htmlTitle{S_{13; 13}}{-2 \zeta_{152}^{70} + 2 \zeta_{152}^{50} - 2 \zeta_{152}^{46} - \zeta_{152}^{38} + 2 \zeta_{152}^{34} - 2 \zeta_{152}^{22} + 2 \zeta_{152}^{18} - 2 \zeta_{152}^{14} + 2 \zeta_{152}^{10} + 2 \zeta_{152}^{2}}\end{array}\right) \]