Fusion Ring
\[ \begin{array}{llllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{1 \oplus 3 \oplus 2} & & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{6 \oplus 3 \oplus 2} & \htmlTitle{3\otimes 3}{1 \oplus 6 \oplus 3 \oplus 7 \oplus 2} & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{5 \oplus 10} & \htmlTitle{4\otimes 3}{4 \oplus 9 \oplus 10} & \htmlTitle{4\otimes 4}{1 \oplus 4 \oplus 9 \oplus 3 \oplus 7} & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{4 \oplus 10} & \htmlTitle{5\otimes 3}{9 \oplus 5 \oplus 10} & \htmlTitle{5\otimes 4}{8 \oplus 6 \oplus 10 \oplus 2} & \htmlTitle{5\otimes 5}{1 \oplus 9 \oplus 5 \oplus 3 \oplus 7} & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{6 \oplus 3 \oplus 7} & \htmlTitle{6\otimes 3}{8 \oplus 6 \oplus 3 \oplus 7 \oplus 2} & \htmlTitle{6\otimes 4}{8 \oplus 9 \oplus 5 \oplus 10} & \htmlTitle{6\otimes 5}{4 \oplus 8 \oplus 9 \oplus 10} & \htmlTitle{6\otimes 6}{1 \oplus 8 \oplus 6 \oplus 9 \oplus 3 \oplus 7 \oplus 2} & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{8 \oplus 6 \oplus 7} & \htmlTitle{7\otimes 3}{8 \oplus 6 \oplus 9 \oplus 3 \oplus 7} & \htmlTitle{7\otimes 4}{4 \oplus 8 \oplus 9 \oplus 10 \oplus 7} & \htmlTitle{7\otimes 5}{8 \oplus 9 \oplus 5 \oplus 10 \oplus 7} & \htmlTitle{7\otimes 6}{8 \oplus 6 \oplus 9 \oplus 10 \oplus 3 \oplus 7 \oplus 2} & \htmlTitle{7\otimes 7}{1 \oplus 4 \oplus 8 \oplus 6 \oplus 9 \oplus 5 \oplus 10 \oplus 3 \oplus 7 \oplus 2} & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{8 \oplus 9 \oplus 7} & \htmlTitle{8\otimes 3}{8 \oplus 6 \oplus 9 \oplus 10 \oplus 7} & \htmlTitle{8\otimes 4}{8 \oplus 6 \oplus 9 \oplus 5 \oplus 10 \oplus 7} & \htmlTitle{8\otimes 5}{4 \oplus 8 \oplus 6 \oplus 9 \oplus 10 \oplus 7} & \htmlTitle{8\otimes 6}{4 \oplus 8 \oplus 6 \oplus 9 \oplus 5 \oplus 10 \oplus 3 \oplus 7} & \htmlTitle{8\otimes 7}{4 \oplus 8 \oplus 6 \oplus 9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 7 \oplus 2} & \htmlTitle{8\otimes 8}{1 \oplus 4 \oplus 8 \oplus 6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 7 \oplus 2} & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{8 \oplus 9 \oplus 10} & \htmlTitle{9\otimes 3}{4 \oplus 8 \oplus 9 \oplus 5 \oplus 10 \oplus 7} & \htmlTitle{9\otimes 4}{4 \oplus 8 \oplus 6 \oplus 9 \oplus 10 \oplus 3 \oplus 7} & \htmlTitle{9\otimes 5}{8 \oplus 6 \oplus 9 \oplus 5 \oplus 10 \oplus 3 \oplus 7} & \htmlTitle{9\otimes 6}{4 \oplus 8 \oplus 6 \oplus 9 \oplus 5 \oplus 2\cdot10 \oplus 7} & \htmlTitle{9\otimes 7}{4 \oplus 8 \oplus 6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 7} & \htmlTitle{9\otimes 8}{4 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 7 \oplus 2} & \htmlTitle{9\otimes 9}{1 \oplus 4 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 2\cdot7 \oplus 2} & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{4 \oplus 9 \oplus 5 \oplus 10} & \htmlTitle{10\otimes 3}{4 \oplus 8 \oplus 9 \oplus 5 \oplus 2\cdot10} & \htmlTitle{10\otimes 4}{8 \oplus 6 \oplus 9 \oplus 5 \oplus 10 \oplus 3 \oplus 7 \oplus 2} & \htmlTitle{10\otimes 5}{4 \oplus 8 \oplus 6 \oplus 9 \oplus 10 \oplus 3 \oplus 7 \oplus 2} & \htmlTitle{10\otimes 6}{4 \oplus 8 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 7} & \htmlTitle{10\otimes 7}{4 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 7} & \htmlTitle{10\otimes 8}{4 \oplus 2\cdot8 \oplus 6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 2\cdot7} & \htmlTitle{10\otimes 9}{4 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 3 \oplus 2\cdot7 \oplus 2} & \htmlTitle{10\otimes 10}{1 \oplus 4 \oplus 2\cdot8 \oplus 2\cdot6 \oplus 2\cdot9 \oplus 5 \oplus 2\cdot10 \oplus 2\cdot3 \oplus 2\cdot7 \oplus 2} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(2.966\) | \( - 2 \cos{\left(\frac{3 \pi}{17} \right)} - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} + 2 \) |
| \( 3\) | \(4.831\) | \( - 2 \cos{\left(\frac{3 \pi}{17} \right)} - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 4\) | \(5.419\) | \( 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 5\) | \(5.419\) | \( 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 6\) | \(6.531\) | \( - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 2 \cos{\left(\frac{4 \pi}{17} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 7\) | \(8.009\) | \( - 2 \cos{\left(\frac{5 \pi}{17} \right)} - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 2 + 4 \cos{\left(\frac{4 \pi}{17} \right)} + 4 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 8\) | \(9.215\) | \( - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 2 \cos{\left(\frac{6 \pi}{17} \right)} + 2 + 4 \cos{\left(\frac{4 \pi}{17} \right)} + 4 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 9\) | \(10.106\) | \( - 2 \cos{\left(\frac{7 \pi}{17} \right)} + 2 \cos{\left(\frac{8 \pi}{17} \right)} + 4 \cos{\left(\frac{6 \pi}{17} \right)} + 2 + 4 \cos{\left(\frac{4 \pi}{17} \right)} + 4 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( 10\) | \(10.653\) | \( 2 \cos{\left(\frac{8 \pi}{17} \right)} + 4 \cos{\left(\frac{6 \pi}{17} \right)} + 2 + 4 \cos{\left(\frac{4 \pi}{17} \right)} + 4 \cos{\left(\frac{2 \pi}{17} \right)} \) |
| \( D^2\) | 499.210 | \(- 68 \cos{\left(\frac{5 \pi}{17} \right)} - 34 \cos{\left(\frac{3 \pi}{17} \right)} - 102 \cos{\left(\frac{7 \pi}{17} \right)} + 136 \cos{\left(\frac{8 \pi}{17} \right)} + 170 \cos{\left(\frac{6 \pi}{17} \right)} + 136 + 204 \cos{\left(\frac{4 \pi}{17} \right)} + 238 \cos{\left(\frac{2 \pi}{17} \right)}\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{\frac{32}{17}} & \htmlTitle{\theta_{3}}{\frac{28}{17}} & \htmlTitle{\theta_{4}}{\frac{30}{17}} & \htmlTitle{\theta_{5}}{\frac{30}{17}} & \htmlTitle{\theta_{6}}{\frac{22}{17}} & \htmlTitle{\theta_{7}}{\frac{14}{17}} & \htmlTitle{\theta_{8}}{\frac{4}{17}} & \htmlTitle{\theta_{9}}{\frac{26}{17}} & \htmlTitle{\theta_{10}}{\frac{12}{17}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{llllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & \\ \htmlTitle{S_{2; 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} + 2} & \htmlTitle{S_{2; 2}}{-2 \zeta_{136}^{60} - 2 \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} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-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} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{3; 2}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - 2 \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + 2 \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{3; 3}}{-2 \zeta_{136}^{60} - 2 \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} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & & & & & & & \\ \htmlTitle{S_{4; 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_{4; 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_{4; 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_{4; 4}}{-3 \zeta_{136}^{60} - 3 \zeta_{136}^{52} + \zeta_{136}^{48} - 2 \zeta_{136}^{44} + 2 \zeta_{136}^{40} - 2 \zeta_{136}^{36} + 2 \zeta_{136}^{32} - 2 \zeta_{136}^{28} + 2 \zeta_{136}^{24} - \zeta_{136}^{20} + 3 \zeta_{136}^{16} + 3 \zeta_{136}^{8} + 4} & & & & & & \\ \htmlTitle{S_{5; 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_{5; 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_{5; 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_{5; 4}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} - \zeta_{136}^{48} + \zeta_{136}^{44} - 2 \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + 2 \zeta_{136}^{28} - \zeta_{136}^{24} + \zeta_{136}^{20} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 3} & \htmlTitle{S_{5; 5}}{-3 \zeta_{136}^{60} - 3 \zeta_{136}^{52} + \zeta_{136}^{48} - 2 \zeta_{136}^{44} + 2 \zeta_{136}^{40} - 2 \zeta_{136}^{36} + 2 \zeta_{136}^{32} - 2 \zeta_{136}^{28} + 2 \zeta_{136}^{24} - \zeta_{136}^{20} + 3 \zeta_{136}^{16} + 3 \zeta_{136}^{8} + 4} & & & & & \\ \htmlTitle{S_{6; 1}}{-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} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{6; 2}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - 2 \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + 2 \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{6; 3}}{-1} & \htmlTitle{S_{6; 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_{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}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} + 2 \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - 2 \zeta_{136}^{24} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & & & & \\ \htmlTitle{S_{7; 1}}{-2 \zeta_{136}^{60} - 2 \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} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{7; 2}}{-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} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{7; 3}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & \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}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + \zeta_{136}^{24} + \zeta_{136}^{16} + \zeta_{136}^{8} + 1} & \htmlTitle{S_{7; 6}}{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} - 2 \zeta_{136}^{8} - 2} & \htmlTitle{S_{7; 7}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - 2 \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + 2 \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & & & \\ \htmlTitle{S_{8; 1}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{8; 2}}{1} & \htmlTitle{S_{8; 3}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} + 2 \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - 2 \zeta_{136}^{24} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & \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}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - \zeta_{136}^{24} - \zeta_{136}^{16} - \zeta_{136}^{8} - 1} & \htmlTitle{S_{8; 6}}{-2 \zeta_{136}^{60} - 2 \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} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{8; 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} + 2} & \htmlTitle{S_{8; 8}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} + 2 \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - 2 \zeta_{136}^{24} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & & \\ \htmlTitle{S_{9; 1}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - 2 \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + 2 \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{9; 2}}{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} - 2 \zeta_{136}^{8} - 2} & \htmlTitle{S_{9; 3}}{\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} - 2} & \htmlTitle{S_{9; 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_{9; 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_{9; 6}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{9; 7}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} + 2 \zeta_{136}^{44} + \zeta_{136}^{36} - \zeta_{136}^{32} - 2 \zeta_{136}^{24} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & \htmlTitle{S_{9; 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} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{9; 9}}{1} & \\ \htmlTitle{S_{10; 1}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - 2 \zeta_{136}^{44} - \zeta_{136}^{36} + \zeta_{136}^{32} + 2 \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{10; 2}}{2 \zeta_{136}^{60} + 2 \zeta_{136}^{52} + \zeta_{136}^{44} - \zeta_{136}^{40} + \zeta_{136}^{36} - \zeta_{136}^{32} + \zeta_{136}^{28} - \zeta_{136}^{24} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & \htmlTitle{S_{10; 3}}{-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} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{10; 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_{10; 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_{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} - 2} & \htmlTitle{S_{10; 7}}{-1} & \htmlTitle{S_{10; 8}}{-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} + 2 \zeta_{136}^{8} + 2} & \htmlTitle{S_{10; 9}}{2 \zeta_{136}^{60} + 2 \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} - 2 \zeta_{136}^{16} - 2 \zeta_{136}^{8} - 2} & \htmlTitle{S_{10; 10}}{-2 \zeta_{136}^{60} - 2 \zeta_{136}^{52} - 2 \zeta_{136}^{44} + \zeta_{136}^{40} - \zeta_{136}^{36} + \zeta_{136}^{32} - \zeta_{136}^{28} + 2 \zeta_{136}^{24} + 2 \zeta_{136}^{16} + 2 \zeta_{136}^{8} + 2}\end{array}\right) \]
Central Charge
\[c = \frac{496}{17} \]