SU(2) 15 | VerlindeDB

\(\operatorname{SU}(2)_{15}\): \( A_{1} \) at level \(15\)

Fusion Ring

\[ \begin{array}{llllllllllllllll} \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}{1 \oplus 5} & & & & & & & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{3} & \htmlTitle{4\otimes 3}{6 \oplus 2} & \htmlTitle{4\otimes 4}{1 \oplus 5} & & & & & & & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{6} & \htmlTitle{5\otimes 3}{3 \oplus 7} & \htmlTitle{5\otimes 4}{8 \oplus 4} & \htmlTitle{5\otimes 5}{1 \oplus 5 \oplus 9} & & & & & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{5} & \htmlTitle{6\otimes 3}{8 \oplus 4} & \htmlTitle{6\otimes 4}{3 \oplus 7} & \htmlTitle{6\otimes 5}{10 \oplus 6 \oplus 2} & \htmlTitle{6\otimes 6}{1 \oplus 5 \oplus 9} & & & & & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{8} & \htmlTitle{7\otimes 3}{5 \oplus 9} & \htmlTitle{7\otimes 4}{10 \oplus 6} & \htmlTitle{7\otimes 5}{3 \oplus 7 \oplus 11} & \htmlTitle{7\otimes 6}{12 \oplus 8 \oplus 4} & \htmlTitle{7\otimes 7}{1 \oplus 5 \oplus 9 \oplus 13} & & & & & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{7} & \htmlTitle{8\otimes 3}{10 \oplus 6} & \htmlTitle{8\otimes 4}{5 \oplus 9} & \htmlTitle{8\otimes 5}{12 \oplus 8 \oplus 4} & \htmlTitle{8\otimes 6}{3 \oplus 7 \oplus 11} & \htmlTitle{8\otimes 7}{14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{8\otimes 8}{1 \oplus 5 \oplus 9 \oplus 13} & & & & & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{10} & \htmlTitle{9\otimes 3}{7 \oplus 11} & \htmlTitle{9\otimes 4}{12 \oplus 8} & \htmlTitle{9\otimes 5}{5 \oplus 9 \oplus 13} & \htmlTitle{9\otimes 6}{14 \oplus 10 \oplus 6} & \htmlTitle{9\otimes 7}{3 \oplus 7 \oplus 11 \oplus 15} & \htmlTitle{9\otimes 8}{16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{9\otimes 9}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16} & & & & & & & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{9} & \htmlTitle{10\otimes 3}{12 \oplus 8} & \htmlTitle{10\otimes 4}{7 \oplus 11} & \htmlTitle{10\otimes 5}{14 \oplus 10 \oplus 6} & \htmlTitle{10\otimes 6}{5 \oplus 9 \oplus 13} & \htmlTitle{10\otimes 7}{16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{10\otimes 8}{3 \oplus 7 \oplus 11 \oplus 15} & \htmlTitle{10\otimes 9}{15 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{10\otimes 10}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16} & & & & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{12} & \htmlTitle{11\otimes 3}{9 \oplus 13} & \htmlTitle{11\otimes 4}{14 \oplus 10} & \htmlTitle{11\otimes 5}{7 \oplus 11 \oplus 15} & \htmlTitle{11\otimes 6}{16 \oplus 12 \oplus 8} & \htmlTitle{11\otimes 7}{5 \oplus 9 \oplus 13 \oplus 16} & \htmlTitle{11\otimes 8}{15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{11\otimes 9}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14} & \htmlTitle{11\otimes 10}{13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{11\otimes 11}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16 \oplus 12} & & & & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{11} & \htmlTitle{12\otimes 3}{14 \oplus 10} & \htmlTitle{12\otimes 4}{9 \oplus 13} & \htmlTitle{12\otimes 5}{16 \oplus 12 \oplus 8} & \htmlTitle{12\otimes 6}{7 \oplus 11 \oplus 15} & \htmlTitle{12\otimes 7}{15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{12\otimes 8}{5 \oplus 9 \oplus 13 \oplus 16} & \htmlTitle{12\otimes 9}{13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{12\otimes 10}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14} & \htmlTitle{12\otimes 11}{11 \oplus 15 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{12\otimes 12}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16 \oplus 12} & & & & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{14} & \htmlTitle{13\otimes 3}{11 \oplus 15} & \htmlTitle{13\otimes 4}{16 \oplus 12} & \htmlTitle{13\otimes 5}{9 \oplus 13 \oplus 16} & \htmlTitle{13\otimes 6}{15 \oplus 14 \oplus 10} & \htmlTitle{13\otimes 7}{7 \oplus 11 \oplus 15 \oplus 14} & \htmlTitle{13\otimes 8}{13 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{13\otimes 9}{5 \oplus 9 \oplus 13 \oplus 16 \oplus 12} & \htmlTitle{13\otimes 10}{11 \oplus 15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{13\otimes 11}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14 \oplus 10} & \htmlTitle{13\otimes 12}{9 \oplus 13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{13\otimes 13}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8} & & & \\ \htmlTitle{14\otimes 1}{14} & \htmlTitle{14\otimes 2}{13} & \htmlTitle{14\otimes 3}{16 \oplus 12} & \htmlTitle{14\otimes 4}{11 \oplus 15} & \htmlTitle{14\otimes 5}{15 \oplus 14 \oplus 10} & \htmlTitle{14\otimes 6}{9 \oplus 13 \oplus 16} & \htmlTitle{14\otimes 7}{13 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{14\otimes 8}{7 \oplus 11 \oplus 15 \oplus 14} & \htmlTitle{14\otimes 9}{11 \oplus 15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{14\otimes 10}{5 \oplus 9 \oplus 13 \oplus 16 \oplus 12} & \htmlTitle{14\otimes 11}{9 \oplus 13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{14\otimes 12}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14 \oplus 10} & \htmlTitle{14\otimes 13}{7 \oplus 11 \oplus 15 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{14\otimes 14}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8} & & \\ \htmlTitle{15\otimes 1}{15} & \htmlTitle{15\otimes 2}{16} & \htmlTitle{15\otimes 3}{13 \oplus 16} & \htmlTitle{15\otimes 4}{15 \oplus 14} & \htmlTitle{15\otimes 5}{11 \oplus 15 \oplus 14} & \htmlTitle{15\otimes 6}{13 \oplus 16 \oplus 12} & \htmlTitle{15\otimes 7}{9 \oplus 13 \oplus 16 \oplus 12} & \htmlTitle{15\otimes 8}{11 \oplus 15 \oplus 14 \oplus 10} & \htmlTitle{15\otimes 9}{7 \oplus 11 \oplus 15 \oplus 14 \oplus 10} & \htmlTitle{15\otimes 10}{9 \oplus 13 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{15\otimes 11}{5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{15\otimes 12}{7 \oplus 11 \oplus 15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{15\otimes 13}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{15\otimes 14}{5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{15\otimes 15}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \\ \htmlTitle{16\otimes 1}{16} & \htmlTitle{16\otimes 2}{15} & \htmlTitle{16\otimes 3}{15 \oplus 14} & \htmlTitle{16\otimes 4}{13 \oplus 16} & \htmlTitle{16\otimes 5}{13 \oplus 16 \oplus 12} & \htmlTitle{16\otimes 6}{11 \oplus 15 \oplus 14} & \htmlTitle{16\otimes 7}{11 \oplus 15 \oplus 14 \oplus 10} & \htmlTitle{16\otimes 8}{9 \oplus 13 \oplus 16 \oplus 12} & \htmlTitle{16\otimes 9}{9 \oplus 13 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{16\otimes 10}{7 \oplus 11 \oplus 15 \oplus 14 \oplus 10} & \htmlTitle{16\otimes 11}{7 \oplus 11 \oplus 15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{16\otimes 12}{5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{16\otimes 13}{5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{16\otimes 14}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{16\otimes 15}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{16\otimes 16}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 16 \oplus 12 \oplus 8 \oplus 4} \\ \end{array} \]

Frobenius-Perron Dimensions

SimpleNumericSymbolic
\( 1\)\(1.000\)\( 1 \)
\( 2\)\(1.000\)\( 1 \)
\( 3\)\(1.966\)\( - 2 \cos{\left(\frac{3 \pi}{17} \right)} - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 4\)\(1.966\)\( - 2 \cos{\left(\frac{3 \pi}{17} \right)} - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 5\)\(2.865\)\( 1 + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 6\)\(2.865\)\( 1 + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 7\)\(3.666\)\( - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 8\)\(3.666\)\( - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 9\)\(4.343\)\( 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 10\)\(4.343\)\( 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 11\)\(4.872\)\( - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 12\)\(4.872\)\( - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 13\)\(5.234\)\( 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 14\)\(5.234\)\( 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 15\)\(5.419\)\( 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( 16\)\(5.419\)\( 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \)
\( D^2\)251.748\(- 12 \cos{\left(\frac{5 \pi}{17} \right)} - 24 \cos{\left(\frac{7 \pi}{17} \right)} - 4 \cos{\left(\frac{3 \pi}{17} \right)} + 40 \cos{\left(\frac{8 \pi}{17} \right)} + 60 \cos{\left(\frac{6 \pi}{17} \right)} + 84 \cos{\left(\frac{4 \pi}{17} \right)} + 72 + 112 \cos{\left(\frac{2 \pi}{17} \right)}\)

Modular Data

Twist Factors

\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{\frac{3}{2}} & \htmlTitle{\theta_{3}}{\frac{3}{34}} & \htmlTitle{\theta_{4}}{\frac{10}{17}} & \htmlTitle{\theta_{5}}{\frac{4}{17}} & \htmlTitle{\theta_{6}}{\frac{59}{34}} & \htmlTitle{\theta_{7}}{\frac{15}{34}} & \htmlTitle{\theta_{8}}{\frac{16}{17}} & \htmlTitle{\theta_{9}}{\frac{12}{17}} & \htmlTitle{\theta_{10}}{\frac{7}{34}} & \htmlTitle{\theta_{11}}{\frac{35}{34}} & \htmlTitle{\theta_{12}}{\frac{26}{17}} & \htmlTitle{\theta_{13}}{\frac{24}{17}} & \htmlTitle{\theta_{14}}{\frac{31}{34}} & \htmlTitle{\theta_{15}}{\frac{63}{34}} & \htmlTitle{\theta_{16}}{\frac{6}{17}} \end{pmatrix} \]

S Matrix

\[ \left(\begin{array}{llllllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{-1} & & & & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{3; 2}}{\zeta_{136}^{60} - \zeta_{136}^{56} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} + \zeta_{136}^{12} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{3; 3}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & & & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{4; 2}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{4; 3}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{4; 4}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & & & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{5; 2}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{5; 3}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{5; 4}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{5; 5}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & & & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{6; 2}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{6; 3}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{6; 4}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{6; 5}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{6; 6}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & & & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{7; 2}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{7; 3}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{7; 4}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{7; 5}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{7; 6}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{7; 7}}{1} & & & & & & & & & \\ \htmlTitle{S_{8; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{8; 2}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{8; 3}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{8; 4}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{8; 5}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{8; 6}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{8; 7}}{-1} & \htmlTitle{S_{8; 8}}{-1} & & & & & & & & \\ \htmlTitle{S_{9; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{9; 2}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{9; 3}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{9; 4}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{9; 5}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{9; 6}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{9; 7}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{9; 8}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{9; 9}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & & & & & & & \\ \htmlTitle{S_{10; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{10; 2}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{10; 3}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{10; 4}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{10; 5}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{10; 6}}{\zeta_{136}^{60} - \zeta_{136}^{56} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} + \zeta_{136}^{12} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{10; 7}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{10; 8}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{10; 9}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{10; 10}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & & & & & & \\ \htmlTitle{S_{11; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{11; 2}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{11; 3}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{11; 4}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{11; 5}}{-1} & \htmlTitle{S_{11; 6}}{1} & \htmlTitle{S_{11; 7}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{11; 8}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{11; 9}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{11; 10}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{11; 11}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & & & & & \\ \htmlTitle{S_{12; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{12; 2}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{12; 3}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{12; 4}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{12; 5}}{-1} & \htmlTitle{S_{12; 6}}{-1} & \htmlTitle{S_{12; 7}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{12; 8}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{12; 9}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{12; 10}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{12; 11}}{\zeta_{136}^{60} - \zeta_{136}^{56} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} + \zeta_{136}^{12} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{12; 12}}{\zeta_{136}^{60} - \zeta_{136}^{56} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} + \zeta_{136}^{12} - \zeta_{136}^{8} - 1} & & & & \\ \htmlTitle{S_{13; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{13; 2}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{13; 3}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{13; 4}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{13; 5}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{13; 6}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{13; 7}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{13; 8}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{13; 9}}{1} & \htmlTitle{S_{13; 10}}{1} & \htmlTitle{S_{13; 11}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{13; 12}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{13; 13}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & & & \\ \htmlTitle{S_{14; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{14; 2}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{14; 3}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{14; 4}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{14; 5}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{14; 6}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{14; 7}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{14; 8}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{14; 9}}{1} & \htmlTitle{S_{14; 10}}{-1} & \htmlTitle{S_{14; 11}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{14; 12}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{14; 13}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{14; 14}}{\zeta_{136}^{60} - \zeta_{136}^{56} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} + \zeta_{136}^{12} - \zeta_{136}^{8} - 1} & & \\ \htmlTitle{S_{15; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{15; 2}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{15; 3}}{1} & \htmlTitle{S_{15; 4}}{-1} & \htmlTitle{S_{15; 5}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{15; 6}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{15; 7}}{\zeta_{136}^{60} - \zeta_{136}^{56} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} + \zeta_{136}^{12} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{15; 8}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{15; 9}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{15; 10}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{15; 11}}{-\zeta_{136}^{60} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{15; 12}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{15; 13}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{15; 14}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{15; 15}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \\ \htmlTitle{S_{16; 1}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 2}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 3}}{-1} & \htmlTitle{S_{16; 4}}{-1} & \htmlTitle{S_{16; 5}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{16; 6}}{\zeta_{136}^{60} + \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{16; 7}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 8}}{-\zeta_{136}^{60} + \zeta_{136}^{56} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} - \zeta_{136}^{12} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 9}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 10}}{-\zeta_{136}^{60} - \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 11}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{16; 12}}{\zeta_{136}^{60} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{16; 13}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{16; 14}}{\zeta_{136}^{60} + \zeta_{136}^{52} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{16; 15}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{16; 16}}{-\zeta_{136}^{60} - \zeta_{136}^{52} + \zeta_{136}^{48} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} - \zeta_{136}^{20} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1}\end{array}\right) \]

Central Charge

\[c = \frac{45}{17} \]