Fusion Ring
\[ \begin{array}{llllllllllllllllllll} \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}{10} & \htmlTitle{5\otimes 3}{11} & \htmlTitle{5\otimes 4}{8} & \htmlTitle{5\otimes 5}{13 \oplus 7} & & & & & & & & & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{9} & \htmlTitle{6\otimes 3}{7} & \htmlTitle{6\otimes 4}{12} & \htmlTitle{6\otimes 5}{1 \oplus 19} & \htmlTitle{6\otimes 6}{13 \oplus 8} & & & & & & & & & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{12} & \htmlTitle{7\otimes 3}{9} & \htmlTitle{7\otimes 4}{6} & \htmlTitle{7\otimes 5}{17 \oplus 3} & \htmlTitle{7\otimes 6}{5 \oplus 15} & \htmlTitle{7\otimes 7}{14 \oplus 11} & & & & & & & & & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{11} & \htmlTitle{8\otimes 3}{5} & \htmlTitle{8\otimes 4}{10} & \htmlTitle{8\otimes 5}{6 \oplus 16} & \htmlTitle{8\otimes 6}{18 \oplus 4} & \htmlTitle{8\otimes 7}{1 \oplus 19} & \htmlTitle{8\otimes 8}{14 \oplus 12} & & & & & & & & & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{6} & \htmlTitle{9\otimes 3}{12} & \htmlTitle{9\otimes 4}{7} & \htmlTitle{9\otimes 5}{20 \oplus 2} & \htmlTitle{9\otimes 6}{14 \oplus 11} & \htmlTitle{9\otimes 7}{16 \oplus 10} & \htmlTitle{9\otimes 8}{17 \oplus 3} & \htmlTitle{9\otimes 9}{13 \oplus 8} & & & & & & & & & & & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{5} & \htmlTitle{10\otimes 3}{8} & \htmlTitle{10\otimes 4}{11} & \htmlTitle{10\otimes 5}{14 \oplus 12} & \htmlTitle{10\otimes 6}{20 \oplus 2} & \htmlTitle{10\otimes 7}{18 \oplus 4} & \htmlTitle{10\otimes 8}{15 \oplus 9} & \htmlTitle{10\otimes 9}{1 \oplus 19} & \htmlTitle{10\otimes 10}{13 \oplus 7} & & & & & & & & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{8} & \htmlTitle{11\otimes 3}{10} & \htmlTitle{11\otimes 4}{5} & \htmlTitle{11\otimes 5}{15 \oplus 9} & \htmlTitle{11\otimes 6}{17 \oplus 3} & \htmlTitle{11\otimes 7}{20 \oplus 2} & \htmlTitle{11\otimes 8}{13 \oplus 7} & \htmlTitle{11\otimes 9}{18 \oplus 4} & \htmlTitle{11\otimes 10}{6 \oplus 16} & \htmlTitle{11\otimes 11}{14 \oplus 12} & & & & & & & & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{7} & \htmlTitle{12\otimes 3}{6} & \htmlTitle{12\otimes 4}{9} & \htmlTitle{12\otimes 5}{18 \oplus 4} & \htmlTitle{12\otimes 6}{16 \oplus 10} & \htmlTitle{12\otimes 7}{13 \oplus 8} & \htmlTitle{12\otimes 8}{20 \oplus 2} & \htmlTitle{12\otimes 9}{5 \oplus 15} & \htmlTitle{12\otimes 10}{17 \oplus 3} & \htmlTitle{12\otimes 11}{1 \oplus 19} & \htmlTitle{12\otimes 12}{14 \oplus 11} & & & & & & & & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{14} & \htmlTitle{13\otimes 3}{15} & \htmlTitle{13\otimes 4}{16} & \htmlTitle{13\otimes 5}{6 \oplus 17} & \htmlTitle{13\otimes 6}{5 \oplus 18} & \htmlTitle{13\otimes 7}{19 \oplus 11} & \htmlTitle{13\otimes 8}{19 \oplus 12} & \htmlTitle{13\otimes 9}{17 \oplus 10} & \htmlTitle{13\otimes 10}{18 \oplus 9} & \htmlTitle{13\otimes 11}{7 \oplus 20} & \htmlTitle{13\otimes 12}{8 \oplus 20} & \htmlTitle{13\otimes 13}{1 \oplus 19 \oplus 14} & & & & & & & \\ \htmlTitle{14\otimes 1}{14} & \htmlTitle{14\otimes 2}{13} & \htmlTitle{14\otimes 3}{16} & \htmlTitle{14\otimes 4}{15} & \htmlTitle{14\otimes 5}{18 \oplus 9} & \htmlTitle{14\otimes 6}{17 \oplus 10} & \htmlTitle{14\otimes 7}{8 \oplus 20} & \htmlTitle{14\otimes 8}{7 \oplus 20} & \htmlTitle{14\otimes 9}{5 \oplus 18} & \htmlTitle{14\otimes 10}{6 \oplus 17} & \htmlTitle{14\otimes 11}{19 \oplus 12} & \htmlTitle{14\otimes 12}{19 \oplus 11} & \htmlTitle{14\otimes 13}{13 \oplus 20 \oplus 2} & \htmlTitle{14\otimes 14}{1 \oplus 19 \oplus 14} & & & & & & \\ \htmlTitle{15\otimes 1}{15} & \htmlTitle{15\otimes 2}{16} & \htmlTitle{15\otimes 3}{14} & \htmlTitle{15\otimes 4}{13} & \htmlTitle{15\otimes 5}{7 \oplus 20} & \htmlTitle{15\otimes 6}{19 \oplus 11} & \htmlTitle{15\otimes 7}{17 \oplus 10} & \htmlTitle{15\otimes 8}{6 \oplus 17} & \htmlTitle{15\otimes 9}{8 \oplus 20} & \htmlTitle{15\otimes 10}{19 \oplus 12} & \htmlTitle{15\otimes 11}{18 \oplus 9} & \htmlTitle{15\otimes 12}{5 \oplus 18} & \htmlTitle{15\otimes 13}{17 \oplus 3 \oplus 16} & \htmlTitle{15\otimes 14}{18 \oplus 15 \oplus 4} & \htmlTitle{15\otimes 15}{13 \oplus 20 \oplus 2} & & & & & \\ \htmlTitle{16\otimes 1}{16} & \htmlTitle{16\otimes 2}{15} & \htmlTitle{16\otimes 3}{13} & \htmlTitle{16\otimes 4}{14} & \htmlTitle{16\otimes 5}{19 \oplus 12} & \htmlTitle{16\otimes 6}{8 \oplus 20} & \htmlTitle{16\otimes 7}{5 \oplus 18} & \htmlTitle{16\otimes 8}{18 \oplus 9} & \htmlTitle{16\otimes 9}{19 \oplus 11} & \htmlTitle{16\otimes 10}{7 \oplus 20} & \htmlTitle{16\otimes 11}{6 \oplus 17} & \htmlTitle{16\otimes 12}{17 \oplus 10} & \htmlTitle{16\otimes 13}{18 \oplus 15 \oplus 4} & \htmlTitle{16\otimes 14}{17 \oplus 3 \oplus 16} & \htmlTitle{16\otimes 15}{1 \oplus 19 \oplus 14} & \htmlTitle{16\otimes 16}{13 \oplus 20 \oplus 2} & & & & \\ \htmlTitle{17\otimes 1}{17} & \htmlTitle{17\otimes 2}{18} & \htmlTitle{17\otimes 3}{20} & \htmlTitle{17\otimes 4}{19} & \htmlTitle{17\otimes 5}{19 \oplus 14 \oplus 11} & \htmlTitle{17\otimes 6}{13 \oplus 7 \oplus 20} & \htmlTitle{17\otimes 7}{18 \oplus 15 \oplus 9} & \htmlTitle{17\otimes 8}{5 \oplus 18 \oplus 15} & \htmlTitle{17\otimes 9}{19 \oplus 14 \oplus 12} & \htmlTitle{17\otimes 10}{13 \oplus 8 \oplus 20} & \htmlTitle{17\otimes 11}{17 \oplus 16 \oplus 10} & \htmlTitle{17\otimes 12}{6 \oplus 17 \oplus 16} & \htmlTitle{17\otimes 13}{5 \oplus 18 \oplus 15 \oplus 9} & \htmlTitle{17\otimes 14}{6 \oplus 17 \oplus 16 \oplus 10} & \htmlTitle{17\otimes 15}{19 \oplus 14 \oplus 11 \oplus 12} & \htmlTitle{17\otimes 16}{13 \oplus 7 \oplus 8 \oplus 20} & \htmlTitle{17\otimes 17}{13 \oplus 7 \oplus 8 \oplus 2\cdot20 \oplus 2} & & & \\ \htmlTitle{18\otimes 1}{18} & \htmlTitle{18\otimes 2}{17} & \htmlTitle{18\otimes 3}{19} & \htmlTitle{18\otimes 4}{20} & \htmlTitle{18\otimes 5}{13 \oplus 8 \oplus 20} & \htmlTitle{18\otimes 6}{19 \oplus 14 \oplus 12} & \htmlTitle{18\otimes 7}{6 \oplus 17 \oplus 16} & \htmlTitle{18\otimes 8}{17 \oplus 16 \oplus 10} & \htmlTitle{18\otimes 9}{13 \oplus 7 \oplus 20} & \htmlTitle{18\otimes 10}{19 \oplus 14 \oplus 11} & \htmlTitle{18\otimes 11}{5 \oplus 18 \oplus 15} & \htmlTitle{18\otimes 12}{18 \oplus 15 \oplus 9} & \htmlTitle{18\otimes 13}{6 \oplus 17 \oplus 16 \oplus 10} & \htmlTitle{18\otimes 14}{5 \oplus 18 \oplus 15 \oplus 9} & \htmlTitle{18\otimes 15}{13 \oplus 7 \oplus 8 \oplus 20} & \htmlTitle{18\otimes 16}{19 \oplus 14 \oplus 11 \oplus 12} & \htmlTitle{18\otimes 17}{1 \oplus 2\cdot19 \oplus 14 \oplus 11 \oplus 12} & \htmlTitle{18\otimes 18}{13 \oplus 7 \oplus 8 \oplus 2\cdot20 \oplus 2} & & \\ \htmlTitle{19\otimes 1}{19} & \htmlTitle{19\otimes 2}{20} & \htmlTitle{19\otimes 3}{17} & \htmlTitle{19\otimes 4}{18} & \htmlTitle{19\otimes 5}{5 \oplus 18 \oplus 15} & \htmlTitle{19\otimes 6}{6 \oplus 17 \oplus 16} & \htmlTitle{19\otimes 7}{13 \oplus 7 \oplus 20} & \htmlTitle{19\otimes 8}{13 \oplus 8 \oplus 20} & \htmlTitle{19\otimes 9}{18 \oplus 15 \oplus 9} & \htmlTitle{19\otimes 10}{17 \oplus 16 \oplus 10} & \htmlTitle{19\otimes 11}{19 \oplus 14 \oplus 11} & \htmlTitle{19\otimes 12}{19 \oplus 14 \oplus 12} & \htmlTitle{19\otimes 13}{13 \oplus 7 \oplus 8 \oplus 20} & \htmlTitle{19\otimes 14}{19 \oplus 14 \oplus 11 \oplus 12} & \htmlTitle{19\otimes 15}{5 \oplus 18 \oplus 15 \oplus 9} & \htmlTitle{19\otimes 16}{6 \oplus 17 \oplus 16 \oplus 10} & \htmlTitle{19\otimes 17}{6 \oplus 2\cdot17 \oplus 3 \oplus 16 \oplus 10} & \htmlTitle{19\otimes 18}{5 \oplus 2\cdot18 \oplus 15 \oplus 4 \oplus 9} & \htmlTitle{19\otimes 19}{1 \oplus 2\cdot19 \oplus 14 \oplus 11 \oplus 12} & \\ \htmlTitle{20\otimes 1}{20} & \htmlTitle{20\otimes 2}{19} & \htmlTitle{20\otimes 3}{18} & \htmlTitle{20\otimes 4}{17} & \htmlTitle{20\otimes 5}{17 \oplus 16 \oplus 10} & \htmlTitle{20\otimes 6}{18 \oplus 15 \oplus 9} & \htmlTitle{20\otimes 7}{19 \oplus 14 \oplus 12} & \htmlTitle{20\otimes 8}{19 \oplus 14 \oplus 11} & \htmlTitle{20\otimes 9}{6 \oplus 17 \oplus 16} & \htmlTitle{20\otimes 10}{5 \oplus 18 \oplus 15} & \htmlTitle{20\otimes 11}{13 \oplus 8 \oplus 20} & \htmlTitle{20\otimes 12}{13 \oplus 7 \oplus 20} & \htmlTitle{20\otimes 13}{19 \oplus 14 \oplus 11 \oplus 12} & \htmlTitle{20\otimes 14}{13 \oplus 7 \oplus 8 \oplus 20} & \htmlTitle{20\otimes 15}{6 \oplus 17 \oplus 16 \oplus 10} & \htmlTitle{20\otimes 16}{5 \oplus 18 \oplus 15 \oplus 9} & \htmlTitle{20\otimes 17}{5 \oplus 2\cdot18 \oplus 15 \oplus 4 \oplus 9} & \htmlTitle{20\otimes 18}{6 \oplus 2\cdot17 \oplus 3 \oplus 16 \oplus 10} & \htmlTitle{20\otimes 19}{13 \oplus 7 \oplus 8 \oplus 2\cdot20 \oplus 2} & \htmlTitle{20\otimes 20}{1 \oplus 2\cdot19 \oplus 14 \oplus 11 \oplus 12} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.000\) | \( 1 \) |
| \( 4\) | \(1.000\) | \( 1 \) |
| \( 5\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 6\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 7\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 8\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 9\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 10\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 11\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 12\) | \(2.247\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 13\) | \(2.802\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 \cos{\left(\frac{2 \pi}{7} \right)} + 2 \) |
| \( 14\) | \(2.802\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 \cos{\left(\frac{2 \pi}{7} \right)} + 2 \) |
| \( 15\) | \(2.802\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 \cos{\left(\frac{2 \pi}{7} \right)} + 2 \) |
| \( 16\) | \(2.802\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 \cos{\left(\frac{2 \pi}{7} \right)} + 2 \) |
| \( 17\) | \(4.049\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 18\) | \(4.049\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 19\) | \(4.049\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( 20\) | \(4.049\) | \( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \) |
| \( D^2\) | 141.370 | \(- 56 \cos{\left(\frac{3 \pi}{7} \right)} + 112 \cos{\left(\frac{2 \pi}{7} \right)} + 84\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{1} & \htmlTitle{\theta_{3}}{\frac{1}{4}} & \htmlTitle{\theta_{4}}{\frac{1}{4}} & \htmlTitle{\theta_{5}}{\frac{15}{28}} & \htmlTitle{\theta_{6}}{\frac{15}{28}} & \htmlTitle{\theta_{7}}{\frac{9}{7}} & \htmlTitle{\theta_{8}}{\frac{9}{7}} & \htmlTitle{\theta_{9}}{\frac{15}{28}} & \htmlTitle{\theta_{10}}{\frac{15}{28}} & \htmlTitle{\theta_{11}}{\frac{2}{7}} & \htmlTitle{\theta_{12}}{\frac{2}{7}} & \htmlTitle{\theta_{13}}{\frac{5}{7}} & \htmlTitle{\theta_{14}}{\frac{12}{7}} & \htmlTitle{\theta_{15}}{\frac{55}{28}} & \htmlTitle{\theta_{16}}{\frac{55}{28}} & \htmlTitle{\theta_{17}}{\frac{39}{28}} & \htmlTitle{\theta_{18}}{\frac{39}{28}} & \htmlTitle{\theta_{19}}{\frac{8}{7}} & \htmlTitle{\theta_{20}}{\frac{1}{7}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{llllllllllllllllllll} \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}}{-\zeta_{56}^{14}} & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{1} & \htmlTitle{S_{4; 2}}{-1} & \htmlTitle{S_{4; 3}}{\zeta_{56}^{14}} & \htmlTitle{S_{4; 4}}{-\zeta_{56}^{14}} & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{5; 2}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{5; 3}}{\zeta_{56}^{22} + \zeta_{56}^{14} + \zeta_{56}^{6}} & \htmlTitle{S_{5; 4}}{-\zeta_{56}^{22} - \zeta_{56}^{14} - \zeta_{56}^{6}} & \htmlTitle{S_{5; 5}}{-\zeta_{56}^{22} + \zeta_{56}^{10} + \zeta_{56}^{6} + \zeta_{56}^{2}} & & & & & & & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{6; 2}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{6; 3}}{-\zeta_{56}^{22} - \zeta_{56}^{14} - \zeta_{56}^{6}} & \htmlTitle{S_{6; 4}}{\zeta_{56}^{22} + \zeta_{56}^{14} + \zeta_{56}^{6}} & \htmlTitle{S_{6; 5}}{-2 \zeta_{56}^{22} - \zeta_{56}^{14} + \zeta_{56}^{10} + \zeta_{56}^{2}} & \htmlTitle{S_{6; 6}}{-\zeta_{56}^{22} + \zeta_{56}^{10} + \zeta_{56}^{6} + \zeta_{56}^{2}} & & & & & & & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{7; 2}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{7; 3}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{7; 4}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{7; 5}}{\zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{8} + \zeta_{56}^{4}} & \htmlTitle{S_{7; 6}}{-2 \zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{4} + 1} & \htmlTitle{S_{7; 7}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & & & & & & & & & & & & & \\ \htmlTitle{S_{8; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{8; 2}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{8; 3}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{8; 4}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{8; 5}}{-2 \zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{4} + 1} & \htmlTitle{S_{8; 6}}{\zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{8} + \zeta_{56}^{4}} & \htmlTitle{S_{8; 7}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{8; 8}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & & & & & & & & & & & & \\ \htmlTitle{S_{9; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{9; 2}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{9; 3}}{\zeta_{56}^{22} + \zeta_{56}^{14} + \zeta_{56}^{6}} & \htmlTitle{S_{9; 4}}{-\zeta_{56}^{22} - \zeta_{56}^{14} - \zeta_{56}^{6}} & \htmlTitle{S_{9; 5}}{2 \zeta_{56}^{22} + \zeta_{56}^{14} - \zeta_{56}^{10} - \zeta_{56}^{2}} & \htmlTitle{S_{9; 6}}{\zeta_{56}^{22} - \zeta_{56}^{10} - \zeta_{56}^{6} - \zeta_{56}^{2}} & \htmlTitle{S_{9; 7}}{-2 \zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{4} + 1} & \htmlTitle{S_{9; 8}}{\zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{8} + \zeta_{56}^{4}} & \htmlTitle{S_{9; 9}}{-\zeta_{56}^{22} + \zeta_{56}^{10} + \zeta_{56}^{6} + \zeta_{56}^{2}} & & & & & & & & & & & \\ \htmlTitle{S_{10; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{10; 2}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{10; 3}}{-\zeta_{56}^{22} - \zeta_{56}^{14} - \zeta_{56}^{6}} & \htmlTitle{S_{10; 4}}{\zeta_{56}^{22} + \zeta_{56}^{14} + \zeta_{56}^{6}} & \htmlTitle{S_{10; 5}}{\zeta_{56}^{22} - \zeta_{56}^{10} - \zeta_{56}^{6} - \zeta_{56}^{2}} & \htmlTitle{S_{10; 6}}{2 \zeta_{56}^{22} + \zeta_{56}^{14} - \zeta_{56}^{10} - \zeta_{56}^{2}} & \htmlTitle{S_{10; 7}}{\zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{8} + \zeta_{56}^{4}} & \htmlTitle{S_{10; 8}}{-2 \zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{4} + 1} & \htmlTitle{S_{10; 9}}{-2 \zeta_{56}^{22} - \zeta_{56}^{14} + \zeta_{56}^{10} + \zeta_{56}^{2}} & \htmlTitle{S_{10; 10}}{-\zeta_{56}^{22} + \zeta_{56}^{10} + \zeta_{56}^{6} + \zeta_{56}^{2}} & & & & & & & & & & \\ \htmlTitle{S_{11; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{11; 2}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{11; 3}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{11; 4}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{11; 5}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & \htmlTitle{S_{11; 6}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{11; 7}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{11; 8}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & \htmlTitle{S_{11; 9}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{11; 10}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & \htmlTitle{S_{11; 11}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & & & & & & & & & \\ \htmlTitle{S_{12; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{12; 2}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{12; 3}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{12; 4}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{12; 5}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{12; 6}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & \htmlTitle{S_{12; 7}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & \htmlTitle{S_{12; 8}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{12; 9}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & \htmlTitle{S_{12; 10}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{12; 11}}{-\zeta_{56}^{20} - \zeta_{56}^{12} - \zeta_{56}^{8} - \zeta_{56}^{4}} & \htmlTitle{S_{12; 12}}{2 \zeta_{56}^{20} + \zeta_{56}^{12} + \zeta_{56}^{4} - 1} & & & & & & & & \\ \htmlTitle{S_{13; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{16} - \zeta_{56}^{12} + \zeta_{56}^{8} + 2} & \htmlTitle{S_{13; 2}}{-\zeta_{56}^{20} + \zeta_{56}^{16} - \zeta_{56}^{12} + \zeta_{56}^{8} + 2} & \htmlTitle{S_{13; 3}}{\zeta_{56}^{20} - \zeta_{56}^{16} + \zeta_{56}^{12} - \zeta_{56}^{8} - 2} & \htmlTitle{S_{13; 4}}{\zeta_{56}^{20} - \zeta_{56}^{16} + \zeta_{56}^{12} - \zeta_{56}^{8} - 2} & \htmlTitle{S_{13; 5}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{13; 6}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{13; 7}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{13; 8}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{13; 9}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{13; 10}}{-\zeta_{56}^{20} + \zeta_{56}^{8} + 1} & \htmlTitle{S_{13; 11}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{13; 12}}{\zeta_{56}^{20} - \zeta_{56}^{8} - 1} & \htmlTitle{S_{13; 13}}{-2 \zeta_{56}^{20} + \zeta_{56}^{16} - \zeta_{56}^{12} + 2 \zeta_{56}^{8} + 2} & & & & & & & \\ \htmlTitle{S_{14; 1}}{-\zeta_{56}^{20} + \zeta_{56}^{16} - \zeta_{56}^{12} + \zeta_{56}^{8} + 2} & \htmlTitle{S_{14; 2}}{-\zeta_{56}^{20} + \zeta_{56}^{16} - \zeta_{56}^{12} + \zeta_{56}^{8} + 2} & \htmlTitle{S_{14; 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Central Charge
\[c = \frac{45}{7} \]