Fusion Ring
\[ \begin{array}{llllllllllllll} \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 14} & \htmlTitle{9\otimes 8}{13 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{9\otimes 9}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 12} & & & & & \\ \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}{13 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{10\otimes 8}{3 \oplus 7 \oplus 11 \oplus 14} & \htmlTitle{10\otimes 9}{11 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{10\otimes 10}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 12} & & & & \\ \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 14} & \htmlTitle{11\otimes 6}{13 \oplus 12 \oplus 8} & \htmlTitle{11\otimes 7}{5 \oplus 9 \oplus 13 \oplus 12} & \htmlTitle{11\otimes 8}{11 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{11\otimes 9}{3 \oplus 7 \oplus 11 \oplus 14 \oplus 10} & \htmlTitle{11\otimes 10}{9 \oplus 13 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{11\otimes 11}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 12 \oplus 8} & & & \\ \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}{13 \oplus 12 \oplus 8} & \htmlTitle{12\otimes 6}{7 \oplus 11 \oplus 14} & \htmlTitle{12\otimes 7}{11 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{12\otimes 8}{5 \oplus 9 \oplus 13 \oplus 12} & \htmlTitle{12\otimes 9}{9 \oplus 13 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{12\otimes 10}{3 \oplus 7 \oplus 11 \oplus 14 \oplus 10} & \htmlTitle{12\otimes 11}{7 \oplus 11 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{12\otimes 12}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 12 \oplus 8} & & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{14} & \htmlTitle{13\otimes 3}{11 \oplus 14} & \htmlTitle{13\otimes 4}{13 \oplus 12} & \htmlTitle{13\otimes 5}{9 \oplus 13 \oplus 12} & \htmlTitle{13\otimes 6}{11 \oplus 14 \oplus 10} & \htmlTitle{13\otimes 7}{7 \oplus 11 \oplus 14 \oplus 10} & \htmlTitle{13\otimes 8}{9 \oplus 13 \oplus 12 \oplus 8} & \htmlTitle{13\otimes 9}{5 \oplus 9 \oplus 13 \oplus 12 \oplus 8} & \htmlTitle{13\otimes 10}{7 \oplus 11 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{13\otimes 11}{3 \oplus 7 \oplus 11 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{13\otimes 12}{5 \oplus 9 \oplus 13 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{13\otimes 13}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 12 \oplus 8 \oplus 4} & \\ \htmlTitle{14\otimes 1}{14} & \htmlTitle{14\otimes 2}{13} & \htmlTitle{14\otimes 3}{13 \oplus 12} & \htmlTitle{14\otimes 4}{11 \oplus 14} & \htmlTitle{14\otimes 5}{11 \oplus 14 \oplus 10} & \htmlTitle{14\otimes 6}{9 \oplus 13 \oplus 12} & \htmlTitle{14\otimes 7}{9 \oplus 13 \oplus 12 \oplus 8} & \htmlTitle{14\otimes 8}{7 \oplus 11 \oplus 14 \oplus 10} & \htmlTitle{14\otimes 9}{7 \oplus 11 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{14\otimes 10}{5 \oplus 9 \oplus 13 \oplus 12 \oplus 8} & \htmlTitle{14\otimes 11}{5 \oplus 9 \oplus 13 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{14\otimes 12}{3 \oplus 7 \oplus 11 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{14\otimes 13}{3 \oplus 7 \oplus 11 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{14\otimes 14}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 12 \oplus 8 \oplus 4} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.956\) | \( - \frac{1}{4} + \frac{\sqrt{5}}{4} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} \) |
| \( 4\) | \(1.956\) | \( - \frac{1}{4} + \frac{\sqrt{5}}{4} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} \) |
| \( 5\) | \(2.827\) | \( \frac{\sqrt{5}}{4} + \frac{\sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}}}{2} + \frac{5}{4} \) |
| \( 6\) | \(2.827\) | \( \frac{\sqrt{5}}{4} + \frac{\sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}}}{2} + \frac{5}{4} \) |
| \( 7\) | \(3.574\) | \( \frac{1}{4} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} + \frac{3 \sqrt{5}}{4} \) |
| \( 8\) | \(3.574\) | \( \frac{1}{4} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} + \frac{3 \sqrt{5}}{4} \) |
| \( 9\) | \(4.165\) | \( \frac{\sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}}}{2} + \frac{3}{2} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} \) |
| \( 10\) | \(4.165\) | \( \frac{\sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}}}{2} + \frac{3}{2} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} \) |
| \( 11\) | \(4.574\) | \( \frac{5}{4} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} + \frac{3 \sqrt{5}}{4} \) |
| \( 12\) | \(4.574\) | \( \frac{5}{4} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} + \frac{3 \sqrt{5}}{4} \) |
| \( 13\) | \(4.783\) | \( 1 + \frac{\sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}}}{2} + \frac{\sqrt{5}}{2} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} \) |
| \( 14\) | \(4.783\) | \( 1 + \frac{\sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}}}{2} + \frac{\sqrt{5}}{2} + \frac{\sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}}}{2} \) |
| \( D^2\) | 173.502 | \(15 \sqrt{\frac{15}{2} - \frac{3 \sqrt{5}}{2}} + 15 \sqrt{5} + 15 \sqrt{\frac{3 \sqrt{5}}{2} + \frac{15}{2}} + 60\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{\frac{1}{2}} & \htmlTitle{\theta_{3}}{\frac{1}{10}} & \htmlTitle{\theta_{4}}{\frac{8}{5}} & \htmlTitle{\theta_{5}}{\frac{4}{15}} & \htmlTitle{\theta_{6}}{\frac{23}{30}} & \htmlTitle{\theta_{7}}{\frac{1}{2}} & \htmlTitle{\theta_{8}}{0} & \htmlTitle{\theta_{9}}{\frac{4}{5}} & \htmlTitle{\theta_{10}}{\frac{13}{10}} & \htmlTitle{\theta_{11}}{\frac{7}{6}} & \htmlTitle{\theta_{12}}{\frac{2}{3}} & \htmlTitle{\theta_{13}}{\frac{8}{5}} & \htmlTitle{\theta_{14}}{\frac{1}{10}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{llllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{-1} & & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-\zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + \zeta_{120}^{12} + \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{3; 2}}{\zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{3; 3}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + \zeta_{120}^{12} + \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{4; 2}}{-\zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + \zeta_{120}^{12} + \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{4; 3}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{4; 4}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{5; 2}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{5; 3}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{5; 4}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{5; 5}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{6; 2}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{6; 3}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{6; 4}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{6; 5}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{6; 6}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{7; 2}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{7; 3}}{-\zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 1} & \htmlTitle{S_{7; 4}}{\zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{12} - 2 \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 1} & \htmlTitle{S_{7; 5}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{7; 6}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{7; 7}}{-1} & & & & & & & \\ \htmlTitle{S_{8; 1}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{8; 2}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{8; 3}}{\zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{12} - 2 \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 1} & \htmlTitle{S_{8; 4}}{\zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{12} - 2 \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 1} & \htmlTitle{S_{8; 5}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{8; 6}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{8; 7}}{1} & \htmlTitle{S_{8; 8}}{1} & & & & & & \\ \htmlTitle{S_{9; 1}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{9; 2}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{9; 3}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{9; 4}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{9; 5}}{0} & \htmlTitle{S_{9; 6}}{0} & \htmlTitle{S_{9; 7}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{9; 8}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{9; 9}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & & & & & \\ \htmlTitle{S_{10; 1}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{10; 2}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{10; 3}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{10; 4}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{10; 5}}{0} & \htmlTitle{S_{10; 6}}{0} & \htmlTitle{S_{10; 7}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{10; 8}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{10; 9}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{10; 10}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & & & & \\ \htmlTitle{S_{11; 1}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{11; 2}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{11; 3}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{11; 4}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{11; 5}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{11; 6}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{11; 7}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{11; 8}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{11; 9}}{0} & \htmlTitle{S_{11; 10}}{0} & \htmlTitle{S_{11; 11}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & & & \\ \htmlTitle{S_{12; 1}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{12; 2}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{12; 3}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{12; 4}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{12; 5}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{12; 6}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{12; 7}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{12; 8}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{12; 9}}{0} & \htmlTitle{S_{12; 10}}{0} & \htmlTitle{S_{12; 11}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{12; 12}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & & \\ \htmlTitle{S_{13; 1}}{-\zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 1} & \htmlTitle{S_{13; 2}}{-\zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 1} & \htmlTitle{S_{13; 3}}{1} & \htmlTitle{S_{13; 4}}{1} & \htmlTitle{S_{13; 5}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{13; 6}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{13; 7}}{\zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{13; 8}}{\zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{13; 9}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 10}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 11}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 12}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 13}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \\ \htmlTitle{S_{14; 1}}{-\zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 1} & \htmlTitle{S_{14; 2}}{\zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{12} - 2 \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 1} & \htmlTitle{S_{14; 3}}{-1} & \htmlTitle{S_{14; 4}}{1} & \htmlTitle{S_{14; 5}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4}} & \htmlTitle{S_{14; 6}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4}} & \htmlTitle{S_{14; 7}}{-\zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + \zeta_{120}^{12} + \zeta_{120}^{8} + \zeta_{120}^{4} - 1} & \htmlTitle{S_{14; 8}}{\zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{14; 9}}{\zeta_{120}^{28} - \zeta_{120}^{24} - \zeta_{120}^{20} + \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{14; 10}}{-\zeta_{120}^{28} + \zeta_{120}^{24} + \zeta_{120}^{20} - \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{14; 11}}{-\zeta_{120}^{28} + \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{8} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{14; 12}}{\zeta_{120}^{28} - \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{8} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{14; 13}}{2 \zeta_{120}^{28} + \zeta_{120}^{24} - \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} - \zeta_{120}^{4} + 1} & \htmlTitle{S_{14; 14}}{-2 \zeta_{120}^{28} - \zeta_{120}^{24} + \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + \zeta_{120}^{4} - 1}\end{array}\right) \]
Central Charge
\[c = \frac{13}{5} \]