Fusion Ring
\[ \begin{array}{lllllllllllllllllllll} \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 17} & & & & & & & & & & & & \\ \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}{18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{10\otimes 10}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17} & & & & & & & & & & & \\ \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 17} & \htmlTitle{11\otimes 8}{18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{11\otimes 9}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19} & \htmlTitle{11\otimes 10}{20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{11\otimes 11}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21} & & & & & & & & & & \\ \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}{18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{12\otimes 8}{5 \oplus 9 \oplus 13 \oplus 17} & \htmlTitle{12\otimes 9}{20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{12\otimes 10}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19} & \htmlTitle{12\otimes 11}{21 \oplus 18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{12\otimes 12}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21} & & & & & & & & & \\ \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 17} & \htmlTitle{13\otimes 6}{18 \oplus 14 \oplus 10} & \htmlTitle{13\otimes 7}{7 \oplus 11 \oplus 15 \oplus 19} & \htmlTitle{13\otimes 8}{20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{13\otimes 9}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21} & \htmlTitle{13\otimes 10}{21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{13\otimes 11}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20} & \htmlTitle{13\otimes 12}{19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{13\otimes 13}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18} & & & & & & & & \\ \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}{18 \oplus 14 \oplus 10} & \htmlTitle{14\otimes 6}{9 \oplus 13 \oplus 17} & \htmlTitle{14\otimes 7}{20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{14\otimes 8}{7 \oplus 11 \oplus 15 \oplus 19} & \htmlTitle{14\otimes 9}{21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{14\otimes 10}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21} & \htmlTitle{14\otimes 11}{19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{14\otimes 12}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20} & \htmlTitle{14\otimes 13}{17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{14\otimes 14}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18} & & & & & & & \\ \htmlTitle{15\otimes 1}{15} & \htmlTitle{15\otimes 2}{16} & \htmlTitle{15\otimes 3}{13 \oplus 17} & \htmlTitle{15\otimes 4}{18 \oplus 14} & \htmlTitle{15\otimes 5}{11 \oplus 15 \oplus 19} & \htmlTitle{15\otimes 6}{20 \oplus 16 \oplus 12} & \htmlTitle{15\otimes 7}{9 \oplus 13 \oplus 17 \oplus 21} & \htmlTitle{15\otimes 8}{21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{15\otimes 9}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20} & \htmlTitle{15\otimes 10}{19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{15\otimes 11}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18} & \htmlTitle{15\otimes 12}{17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{15\otimes 13}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{15\otimes 14}{15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{15\otimes 15}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & & & & & & \\ \htmlTitle{16\otimes 1}{16} & \htmlTitle{16\otimes 2}{15} & \htmlTitle{16\otimes 3}{18 \oplus 14} & \htmlTitle{16\otimes 4}{13 \oplus 17} & \htmlTitle{16\otimes 5}{20 \oplus 16 \oplus 12} & \htmlTitle{16\otimes 6}{11 \oplus 15 \oplus 19} & \htmlTitle{16\otimes 7}{21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{16\otimes 8}{9 \oplus 13 \oplus 17 \oplus 21} & \htmlTitle{16\otimes 9}{19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{16\otimes 10}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20} & \htmlTitle{16\otimes 11}{17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{16\otimes 12}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18} & \htmlTitle{16\otimes 13}{15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{16\otimes 14}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{16\otimes 15}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{16\otimes 16}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & & & & & \\ \htmlTitle{17\otimes 1}{17} & \htmlTitle{17\otimes 2}{18} & \htmlTitle{17\otimes 3}{15 \oplus 19} & \htmlTitle{17\otimes 4}{20 \oplus 16} & \htmlTitle{17\otimes 5}{13 \oplus 17 \oplus 21} & \htmlTitle{17\otimes 6}{21 \oplus 18 \oplus 14} & \htmlTitle{17\otimes 7}{11 \oplus 15 \oplus 19 \oplus 20} & \htmlTitle{17\otimes 8}{19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{17\otimes 9}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18} & \htmlTitle{17\otimes 10}{17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{17\otimes 11}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{17\otimes 12}{15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{17\otimes 13}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{17\otimes 14}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{17\otimes 15}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{17\otimes 16}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{17\otimes 17}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & & & & \\ \htmlTitle{18\otimes 1}{18} & \htmlTitle{18\otimes 2}{17} & \htmlTitle{18\otimes 3}{20 \oplus 16} & \htmlTitle{18\otimes 4}{15 \oplus 19} & \htmlTitle{18\otimes 5}{21 \oplus 18 \oplus 14} & \htmlTitle{18\otimes 6}{13 \oplus 17 \oplus 21} & \htmlTitle{18\otimes 7}{19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{18\otimes 8}{11 \oplus 15 \oplus 19 \oplus 20} & \htmlTitle{18\otimes 9}{17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{18\otimes 10}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18} & \htmlTitle{18\otimes 11}{15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{18\otimes 12}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{18\otimes 13}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{18\otimes 14}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{18\otimes 15}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{18\otimes 16}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{18\otimes 17}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{18\otimes 18}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & & & \\ \htmlTitle{19\otimes 1}{19} & \htmlTitle{19\otimes 2}{20} & \htmlTitle{19\otimes 3}{17 \oplus 21} & \htmlTitle{19\otimes 4}{21 \oplus 18} & \htmlTitle{19\otimes 5}{15 \oplus 19 \oplus 20} & \htmlTitle{19\otimes 6}{19 \oplus 20 \oplus 16} & \htmlTitle{19\otimes 7}{13 \oplus 17 \oplus 21 \oplus 18} & \htmlTitle{19\otimes 8}{17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{19\otimes 9}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{19\otimes 10}{15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{19\otimes 11}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{19\otimes 12}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{19\otimes 13}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{19\otimes 14}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{19\otimes 15}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{19\otimes 16}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{19\otimes 17}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{19\otimes 18}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{19\otimes 19}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & & \\ \htmlTitle{20\otimes 1}{20} & \htmlTitle{20\otimes 2}{19} & \htmlTitle{20\otimes 3}{21 \oplus 18} & \htmlTitle{20\otimes 4}{17 \oplus 21} & \htmlTitle{20\otimes 5}{19 \oplus 20 \oplus 16} & \htmlTitle{20\otimes 6}{15 \oplus 19 \oplus 20} & \htmlTitle{20\otimes 7}{17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{20\otimes 8}{13 \oplus 17 \oplus 21 \oplus 18} & \htmlTitle{20\otimes 9}{15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{20\otimes 10}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{20\otimes 11}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{20\otimes 12}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{20\otimes 13}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{20\otimes 14}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{20\otimes 15}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{20\otimes 16}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{20\otimes 17}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{20\otimes 18}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{20\otimes 19}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{20\otimes 20}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \\ \htmlTitle{21\otimes 1}{21} & \htmlTitle{21\otimes 2}{21} & \htmlTitle{21\otimes 3}{19 \oplus 20} & \htmlTitle{21\otimes 4}{19 \oplus 20} & \htmlTitle{21\otimes 5}{17 \oplus 21 \oplus 18} & \htmlTitle{21\otimes 6}{17 \oplus 21 \oplus 18} & \htmlTitle{21\otimes 7}{15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{21\otimes 8}{15 \oplus 19 \oplus 20 \oplus 16} & \htmlTitle{21\otimes 9}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{21\otimes 10}{13 \oplus 17 \oplus 21 \oplus 18 \oplus 14} & \htmlTitle{21\otimes 11}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{21\otimes 12}{11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12} & \htmlTitle{21\otimes 13}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{21\otimes 14}{9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10} & \htmlTitle{21\otimes 15}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{21\otimes 16}{7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8} & \htmlTitle{21\otimes 17}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{21\otimes 18}{5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6} & \htmlTitle{21\otimes 19}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{21\otimes 20}{3 \oplus 7 \oplus 11 \oplus 15 \oplus 19 \oplus 20 \oplus 16 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{21\otimes 21}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 17 \oplus 21 \oplus 18 \oplus 14 \oplus 10 \oplus 6 \oplus 2} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.980\) | \( 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 4\) | \(1.980\) | \( 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 5\) | \(2.919\) | \( - 2 \cos{\left(\frac{3 \pi}{11} \right)} - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 2 \cos{\left(\frac{4 \pi}{11} \right)} + 2 \cos{\left(\frac{2 \pi}{11} \right)} + 2 \) |
| \( 6\) | \(2.919\) | \( - 2 \cos{\left(\frac{3 \pi}{11} \right)} - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 2 \cos{\left(\frac{4 \pi}{11} \right)} + 2 \cos{\left(\frac{2 \pi}{11} \right)} + 2 \) |
| \( 7\) | \(3.799\) | \( 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 8\) | \(3.799\) | \( 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 9\) | \(4.601\) | \( - 2 \cos{\left(\frac{3 \pi}{11} \right)} - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 2 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( 10\) | \(4.601\) | \( - 2 \cos{\left(\frac{3 \pi}{11} \right)} - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 2 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( 11\) | \(5.310\) | \( 2 \cos{\left(\frac{5 \pi}{22} \right)} + 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 12\) | \(5.310\) | \( 2 \cos{\left(\frac{5 \pi}{22} \right)} + 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 13\) | \(5.911\) | \( - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 2 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( 14\) | \(5.911\) | \( - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 2 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( 15\) | \(6.392\) | \( 2 \cos{\left(\frac{7 \pi}{22} \right)} + 2 \cos{\left(\frac{5 \pi}{22} \right)} + 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 16\) | \(6.392\) | \( 2 \cos{\left(\frac{7 \pi}{22} \right)} + 2 \cos{\left(\frac{5 \pi}{22} \right)} + 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 17\) | \(6.742\) | \( - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 4 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( 18\) | \(6.742\) | \( - 2 \cos{\left(\frac{5 \pi}{11} \right)} + 4 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( 19\) | \(6.955\) | \( 2 \cos{\left(\frac{9 \pi}{22} \right)} + 2 \cos{\left(\frac{7 \pi}{22} \right)} + 2 \cos{\left(\frac{5 \pi}{22} \right)} + 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 20\) | \(6.955\) | \( 2 \cos{\left(\frac{9 \pi}{22} \right)} + 2 \cos{\left(\frac{7 \pi}{22} \right)} + 2 \cos{\left(\frac{5 \pi}{22} \right)} + 2 \cos{\left(\frac{3 \pi}{22} \right)} + 2 \cos{\left(\frac{\pi}{22} \right)} \) |
| \( 21\) | \(7.027\) | \( 4 \cos{\left(\frac{4 \pi}{11} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{11} \right)} \) |
| \( D^2\) | 543.116 | \(- 88 \cos{\left(\frac{3 \pi}{11} \right)} - 176 \cos{\left(\frac{5 \pi}{11} \right)} + 264 \cos{\left(\frac{4 \pi}{11} \right)} + 220 + 352 \cos{\left(\frac{2 \pi}{11} \right)}\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{0} & \htmlTitle{\theta_{3}}{\frac{3}{44}} & \htmlTitle{\theta_{4}}{\frac{47}{44}} & \htmlTitle{\theta_{5}}{\frac{2}{11}} & \htmlTitle{\theta_{6}}{\frac{2}{11}} & \htmlTitle{\theta_{7}}{\frac{15}{44}} & \htmlTitle{\theta_{8}}{\frac{59}{44}} & \htmlTitle{\theta_{9}}{\frac{6}{11}} & \htmlTitle{\theta_{10}}{\frac{6}{11}} & \htmlTitle{\theta_{11}}{\frac{35}{44}} & \htmlTitle{\theta_{12}}{\frac{79}{44}} & \htmlTitle{\theta_{13}}{\frac{12}{11}} & \htmlTitle{\theta_{14}}{\frac{12}{11}} & \htmlTitle{\theta_{15}}{\frac{63}{44}} & \htmlTitle{\theta_{16}}{\frac{19}{44}} & \htmlTitle{\theta_{17}}{\frac{20}{11}} & \htmlTitle{\theta_{18}}{\frac{20}{11}} & \htmlTitle{\theta_{19}}{\frac{1}{4}} & \htmlTitle{\theta_{20}}{\frac{5}{4}} & \htmlTitle{\theta_{21}}{\frac{8}{11}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{lllllllllllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{1} & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{3; 2}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{3; 3}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{4; 2}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{4; 3}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{4; 4}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{5; 2}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{5; 3}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{5; 4}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{5; 5}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{6; 2}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{6; 3}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{6; 4}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{6; 5}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{6; 6}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & & & & & & & & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{7; 2}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{7; 3}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{7; 4}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{7; 5}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{7; 6}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{7; 7}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & & & & & & & & & & & & & & \\ \htmlTitle{S_{8; 1}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 2}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 3}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 4}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 5}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 6}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 7}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{8; 8}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & & & & & & & & & & & & & \\ \htmlTitle{S_{9; 1}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{9; 2}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{9; 3}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{9; 4}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{9; 5}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{9; 6}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{9; 7}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{9; 8}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{9; 9}}{\zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - \zeta_{176}^{16} - 2} & & & & & & & & & & & & \\ \htmlTitle{S_{10; 1}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{10; 2}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{10; 3}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{10; 4}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{10; 5}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{10; 6}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{10; 7}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{10; 8}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{10; 9}}{\zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - \zeta_{176}^{16} - 2} & \htmlTitle{S_{10; 10}}{\zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - \zeta_{176}^{16} - 2} & & & & & & & & & & & \\ \htmlTitle{S_{11; 1}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 2}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 3}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 4}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 5}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 6}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 7}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 8}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 9}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 10}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{11; 11}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & & & & & & & & & & \\ \htmlTitle{S_{12; 1}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 2}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 3}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 4}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 5}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 6}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 7}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 8}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 9}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 10}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 11}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{12; 12}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & & & & & & & & & \\ \htmlTitle{S_{13; 1}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{13; 2}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{13; 3}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{13; 4}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{13; 5}}{1} & \htmlTitle{S_{13; 6}}{1} & \htmlTitle{S_{13; 7}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{13; 8}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{13; 9}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{13; 10}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{13; 11}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{13; 12}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{13; 13}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & & & & & & & & \\ \htmlTitle{S_{14; 1}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{14; 2}}{-2 \zeta_{176}^{72} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{14; 3}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{14; 4}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{14; 5}}{1} & \htmlTitle{S_{14; 6}}{1} & \htmlTitle{S_{14; 7}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{14; 8}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{14; 9}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{14; 10}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{14; 11}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{14; 12}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{14; 13}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{14; 14}}{-2 \zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + 2 \zeta_{176}^{16} + 2} & & & & & & & \\ \htmlTitle{S_{15; 1}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 2}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 3}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 4}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 5}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 6}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 7}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 8}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 9}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 10}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 11}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 12}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 13}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 14}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{15; 15}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & & & & & & \\ \htmlTitle{S_{16; 1}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 2}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 3}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 4}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 5}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 6}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 7}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 8}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 9}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 10}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 11}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 12}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 13}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 14}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 15}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{16; 16}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & & & & & \\ \htmlTitle{S_{17; 1}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{17; 2}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{17; 3}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 4}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 5}}{2 \zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{17; 6}}{2 \zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{17; 7}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 8}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 9}}{1} & \htmlTitle{S_{17; 10}}{1} & \htmlTitle{S_{17; 11}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 12}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 13}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{17; 14}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{17; 15}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 16}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{17; 17}}{2 \zeta_{176}^{72} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & & & & \\ \htmlTitle{S_{18; 1}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{18; 2}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{18; 3}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 4}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 5}}{2 \zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{18; 6}}{2 \zeta_{176}^{72} - \zeta_{176}^{64} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} + \zeta_{176}^{24} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{18; 7}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 8}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 9}}{1} & \htmlTitle{S_{18; 10}}{1} & \htmlTitle{S_{18; 11}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 12}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 13}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{18; 14}}{-\zeta_{176}^{72} + \zeta_{176}^{64} - \zeta_{176}^{56} + \zeta_{176}^{48} - \zeta_{176}^{40} + \zeta_{176}^{32} - \zeta_{176}^{24} + \zeta_{176}^{16} + 2} & \htmlTitle{S_{18; 15}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 16}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{18; 17}}{2 \zeta_{176}^{72} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{18; 18}}{2 \zeta_{176}^{72} + \zeta_{176}^{56} - \zeta_{176}^{48} + \zeta_{176}^{40} - \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & & & \\ \htmlTitle{S_{19; 1}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 2}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 3}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 4}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 5}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 6}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 7}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 8}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 9}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 10}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 11}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 12}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 13}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 14}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 15}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 16}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 17}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 18}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{19; 19}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & & \\ \htmlTitle{S_{20; 1}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 2}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 3}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 4}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 5}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 6}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 7}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 8}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 9}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 10}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 11}}{2 \zeta_{176}^{76} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 12}}{-2 \zeta_{176}^{76} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 13}}{2 \zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 14}}{-2 \zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 15}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 16}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 17}}{-\zeta_{176}^{76} + \zeta_{176}^{68} - \zeta_{176}^{60} + \zeta_{176}^{52} - \zeta_{176}^{44} + \zeta_{176}^{36} - \zeta_{176}^{28} + \zeta_{176}^{20} - \zeta_{176}^{12} + 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 18}}{\zeta_{176}^{76} - \zeta_{176}^{68} + \zeta_{176}^{60} - \zeta_{176}^{52} + \zeta_{176}^{44} - \zeta_{176}^{36} + \zeta_{176}^{28} - \zeta_{176}^{20} + \zeta_{176}^{12} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 19}}{2 \zeta_{176}^{76} + 2 \zeta_{176}^{60} + \zeta_{176}^{44} - 2 \zeta_{176}^{36} - 2 \zeta_{176}^{20} - 2 \zeta_{176}^{4}} & \htmlTitle{S_{20; 20}}{-2 \zeta_{176}^{76} - 2 \zeta_{176}^{60} - \zeta_{176}^{44} + 2 \zeta_{176}^{36} + 2 \zeta_{176}^{20} + 2 \zeta_{176}^{4}} & \\ \htmlTitle{S_{21; 1}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{21; 2}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{21; 3}}{0} & \htmlTitle{S_{21; 4}}{0} & \htmlTitle{S_{21; 5}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{21; 6}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{21; 7}}{0} & \htmlTitle{S_{21; 8}}{0} & \htmlTitle{S_{21; 9}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{21; 10}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{21; 11}}{0} & \htmlTitle{S_{21; 12}}{0} & \htmlTitle{S_{21; 13}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{21; 14}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2} & \htmlTitle{S_{21; 15}}{0} & \htmlTitle{S_{21; 16}}{0} & \htmlTitle{S_{21; 17}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{21; 18}}{-2 \zeta_{176}^{72} - 2 \zeta_{176}^{56} + 2 \zeta_{176}^{32} + 2 \zeta_{176}^{16} + 2} & \htmlTitle{S_{21; 19}}{0} & \htmlTitle{S_{21; 20}}{0} & \htmlTitle{S_{21; 21}}{2 \zeta_{176}^{72} + 2 \zeta_{176}^{56} - 2 \zeta_{176}^{32} - 2 \zeta_{176}^{16} - 2}\end{array}\right) \]
Central Charge
\[c = \frac{30}{11} \]