Fusion Ring
\[ \begin{array}{llllllllllllllllllllllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{3} & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{1} & \htmlTitle{3\otimes 3}{2} & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{8} & \htmlTitle{4\otimes 3}{7} & \htmlTitle{4\otimes 4}{5 \oplus 10} & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{6} & \htmlTitle{5\otimes 3}{9} & \htmlTitle{5\otimes 4}{1 \oplus 19} & \htmlTitle{5\otimes 5}{4 \oplus 11} & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{9} & \htmlTitle{6\otimes 3}{5} & \htmlTitle{6\otimes 4}{20 \oplus 2} & \htmlTitle{6\otimes 5}{12 \oplus 8} & \htmlTitle{6\otimes 6}{7 \oplus 15} & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{4} & \htmlTitle{7\otimes 3}{8} & \htmlTitle{7\otimes 4}{13 \oplus 9} & \htmlTitle{7\otimes 5}{21 \oplus 3} & \htmlTitle{7\otimes 6}{1 \oplus 19} & \htmlTitle{7\otimes 7}{6 \oplus 14} & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{7} & \htmlTitle{8\otimes 3}{4} & \htmlTitle{8\otimes 4}{6 \oplus 14} & \htmlTitle{8\otimes 5}{20 \oplus 2} & \htmlTitle{8\otimes 6}{21 \oplus 3} & \htmlTitle{8\otimes 7}{5 \oplus 10} & \htmlTitle{8\otimes 8}{13 \oplus 9} & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{5} & \htmlTitle{9\otimes 3}{6} & \htmlTitle{9\otimes 4}{21 \oplus 3} & \htmlTitle{9\otimes 5}{7 \oplus 15} & \htmlTitle{9\otimes 6}{4 \oplus 11} & \htmlTitle{9\otimes 7}{20 \oplus 2} & \htmlTitle{9\otimes 8}{1 \oplus 19} & \htmlTitle{9\otimes 9}{12 \oplus 8} & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{10\otimes 1}{10} & \htmlTitle{10\otimes 2}{14} & \htmlTitle{10\otimes 3}{13} & \htmlTitle{10\otimes 4}{19 \oplus 16} & \htmlTitle{10\otimes 5}{4 \oplus 22} & \htmlTitle{10\otimes 6}{26 \oplus 8} & \htmlTitle{10\otimes 7}{17 \oplus 21} & \htmlTitle{10\otimes 8}{20 \oplus 18} & \htmlTitle{10\otimes 9}{25 \oplus 7} & \htmlTitle{10\otimes 10}{11 \oplus 22 \oplus 12} & & & & & & & & & & & & & & & & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{12} & \htmlTitle{11\otimes 3}{15} & \htmlTitle{11\otimes 4}{5 \oplus 23} & \htmlTitle{11\otimes 5}{17 \oplus 19} & \htmlTitle{11\otimes 6}{16 \oplus 20} & \htmlTitle{11\otimes 7}{27 \oplus 9} & \htmlTitle{11\otimes 8}{24 \oplus 6} & \htmlTitle{11\otimes 9}{21 \oplus 18} & \htmlTitle{11\otimes 10}{1 \oplus 19 \oplus 28} & \htmlTitle{11\otimes 11}{10 \oplus 23 \oplus 13} & & & & & & & & & & & & & & & & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{15} & \htmlTitle{12\otimes 3}{11} & \htmlTitle{12\otimes 4}{24 \oplus 6} & \htmlTitle{12\otimes 5}{16 \oplus 20} & \htmlTitle{12\otimes 6}{21 \oplus 18} & \htmlTitle{12\otimes 7}{5 \oplus 23} & \htmlTitle{12\otimes 8}{27 \oplus 9} & \htmlTitle{12\otimes 9}{17 \oplus 19} & \htmlTitle{12\otimes 10}{28 \oplus 20 \oplus 2} & \htmlTitle{12\otimes 11}{10 \oplus 24 \oplus 14} & \htmlTitle{12\otimes 12}{13 \oplus 27 \oplus 14} & & & & & & & & & & & & & & & & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{10} & \htmlTitle{13\otimes 3}{14} & \htmlTitle{13\otimes 4}{17 \oplus 21} & \htmlTitle{13\otimes 5}{25 \oplus 7} & \htmlTitle{13\otimes 6}{4 \oplus 22} & \htmlTitle{13\otimes 7}{20 \oplus 18} & \htmlTitle{13\otimes 8}{19 \oplus 16} & \htmlTitle{13\otimes 9}{26 \oplus 8} & \htmlTitle{13\otimes 10}{11 \oplus 25 \oplus 15} & \htmlTitle{13\otimes 11}{21 \oplus 3 \oplus 28} & \htmlTitle{13\otimes 12}{1 \oplus 19 \oplus 28} & \htmlTitle{13\otimes 13}{12 \oplus 26 \oplus 15} & & & & & & & & & & & & & & & \\ \htmlTitle{14\otimes 1}{14} & \htmlTitle{14\otimes 2}{13} & \htmlTitle{14\otimes 3}{10} & \htmlTitle{14\otimes 4}{20 \oplus 18} & \htmlTitle{14\otimes 5}{26 \oplus 8} & \htmlTitle{14\otimes 6}{25 \oplus 7} & \htmlTitle{14\otimes 7}{19 \oplus 16} & \htmlTitle{14\otimes 8}{17 \oplus 21} & \htmlTitle{14\otimes 9}{4 \oplus 22} & \htmlTitle{14\otimes 10}{12 \oplus 26 \oplus 15} & \htmlTitle{14\otimes 11}{28 \oplus 20 \oplus 2} & \htmlTitle{14\otimes 12}{21 \oplus 3 \oplus 28} & \htmlTitle{14\otimes 13}{11 \oplus 22 \oplus 12} & \htmlTitle{14\otimes 14}{11 \oplus 25 \oplus 15} & & & & & & & & & & & & & & \\ \htmlTitle{15\otimes 1}{15} & \htmlTitle{15\otimes 2}{11} & \htmlTitle{15\otimes 3}{12} & \htmlTitle{15\otimes 4}{27 \oplus 9} & \htmlTitle{15\otimes 5}{21 \oplus 18} & \htmlTitle{15\otimes 6}{17 \oplus 19} & \htmlTitle{15\otimes 7}{24 \oplus 6} & \htmlTitle{15\otimes 8}{5 \oplus 23} & \htmlTitle{15\otimes 9}{16 \oplus 20} & \htmlTitle{15\otimes 10}{21 \oplus 3 \oplus 28} & \htmlTitle{15\otimes 11}{13 \oplus 27 \oplus 14} & \htmlTitle{15\otimes 12}{10 \oplus 23 \oplus 13} & \htmlTitle{15\otimes 13}{28 \oplus 20 \oplus 2} & \htmlTitle{15\otimes 14}{1 \oplus 19 \oplus 28} & \htmlTitle{15\otimes 15}{10 \oplus 24 \oplus 14} & & & & & & & & & & & & & \\ \htmlTitle{16\otimes 1}{16} & \htmlTitle{16\otimes 2}{18} & \htmlTitle{16\otimes 3}{17} & \htmlTitle{16\otimes 4}{22 \oplus 12} & \htmlTitle{16\otimes 5}{10 \oplus 24} & \htmlTitle{16\otimes 6}{27 \oplus 14} & \htmlTitle{16\otimes 7}{11 \oplus 25} & \htmlTitle{16\otimes 8}{26 \oplus 15} & \htmlTitle{16\otimes 9}{23 \oplus 13} & \htmlTitle{16\otimes 10}{23 \oplus 24 \oplus 6} & \htmlTitle{16\otimes 11}{4 \oplus 22 \oplus 26} & \htmlTitle{16\otimes 12}{25 \oplus 26 \oplus 8} & \htmlTitle{16\otimes 13}{5 \oplus 23 \oplus 27} & \htmlTitle{16\otimes 14}{24 \oplus 27 \oplus 9} & \htmlTitle{16\otimes 15}{22 \oplus 25 \oplus 7} & \htmlTitle{16\otimes 16}{17 \oplus 28 \oplus 20 \oplus 2} & & & & & & & & & & & & \\ \htmlTitle{17\otimes 1}{17} & \htmlTitle{17\otimes 2}{16} & \htmlTitle{17\otimes 3}{18} & \htmlTitle{17\otimes 4}{11 \oplus 25} & \htmlTitle{17\otimes 5}{23 \oplus 13} & \htmlTitle{17\otimes 6}{10 \oplus 24} & \htmlTitle{17\otimes 7}{26 \oplus 15} & \htmlTitle{17\otimes 8}{22 \oplus 12} & \htmlTitle{17\otimes 9}{27 \oplus 14} & \htmlTitle{17\otimes 10}{5 \oplus 23 \oplus 27} & \htmlTitle{17\otimes 11}{22 \oplus 25 \oplus 7} & \htmlTitle{17\otimes 12}{4 \oplus 22 \oplus 26} & \htmlTitle{17\otimes 13}{24 \oplus 27 \oplus 9} & \htmlTitle{17\otimes 14}{23 \oplus 24 \oplus 6} & \htmlTitle{17\otimes 15}{25 \oplus 26 \oplus 8} & \htmlTitle{17\otimes 16}{1 \oplus 19 \oplus 28 \oplus 18} & \htmlTitle{17\otimes 17}{16 \oplus 21 \oplus 3 \oplus 28} & & & & & & & & & & & \\ \htmlTitle{18\otimes 1}{18} & \htmlTitle{18\otimes 2}{17} & \htmlTitle{18\otimes 3}{16} & \htmlTitle{18\otimes 4}{26 \oplus 15} & \htmlTitle{18\otimes 5}{27 \oplus 14} & \htmlTitle{18\otimes 6}{23 \oplus 13} & \htmlTitle{18\otimes 7}{22 \oplus 12} & \htmlTitle{18\otimes 8}{11 \oplus 25} & \htmlTitle{18\otimes 9}{10 \oplus 24} & \htmlTitle{18\otimes 10}{24 \oplus 27 \oplus 9} & \htmlTitle{18\otimes 11}{25 \oplus 26 \oplus 8} & \htmlTitle{18\otimes 12}{22 \oplus 25 \oplus 7} & \htmlTitle{18\otimes 13}{23 \oplus 24 \oplus 6} & \htmlTitle{18\otimes 14}{5 \oplus 23 \oplus 27} & \htmlTitle{18\otimes 15}{4 \oplus 22 \oplus 26} & \htmlTitle{18\otimes 16}{16 \oplus 21 \oplus 3 \oplus 28} & \htmlTitle{18\otimes 17}{17 \oplus 28 \oplus 20 \oplus 2} & \htmlTitle{18\otimes 18}{1 \oplus 19 \oplus 28 \oplus 18} & & & & & & & & & & \\ \htmlTitle{19\otimes 1}{19} & \htmlTitle{19\otimes 2}{20} & \htmlTitle{19\otimes 3}{21} & \htmlTitle{19\otimes 4}{4 \oplus 11 \oplus 22} & \htmlTitle{19\otimes 5}{5 \oplus 10 \oplus 23} & \htmlTitle{19\otimes 6}{24 \oplus 6 \oplus 14} & \htmlTitle{19\otimes 7}{25 \oplus 7 \oplus 15} & \htmlTitle{19\otimes 8}{12 \oplus 26 \oplus 8} & \htmlTitle{19\otimes 9}{13 \oplus 27 \oplus 9} & \htmlTitle{19\otimes 10}{5 \oplus 10 \oplus 23 \oplus 24} & \htmlTitle{19\otimes 11}{4 \oplus 11 \oplus 22 \oplus 25} & \htmlTitle{19\otimes 12}{22 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{19\otimes 13}{23 \oplus 13 \oplus 27 \oplus 9} & \htmlTitle{19\otimes 14}{24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{19\otimes 15}{25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{19\otimes 16}{19 \oplus 16 \oplus 28 \oplus 20} & \htmlTitle{19\otimes 17}{17 \oplus 19 \oplus 21 \oplus 28} & \htmlTitle{19\otimes 18}{21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{19\otimes 19}{1 \oplus 17 \oplus 2\cdot19 \oplus 16 \oplus 28} & & & & & & & & & \\ \htmlTitle{20\otimes 1}{20} & \htmlTitle{20\otimes 2}{21} & \htmlTitle{20\otimes 3}{19} & \htmlTitle{20\otimes 4}{12 \oplus 26 \oplus 8} & \htmlTitle{20\otimes 5}{24 \oplus 6 \oplus 14} & \htmlTitle{20\otimes 6}{13 \oplus 27 \oplus 9} & \htmlTitle{20\otimes 7}{4 \oplus 11 \oplus 22} & \htmlTitle{20\otimes 8}{25 \oplus 7 \oplus 15} & \htmlTitle{20\otimes 9}{5 \oplus 10 \oplus 23} & \htmlTitle{20\otimes 10}{24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{20\otimes 11}{22 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{20\otimes 12}{25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{20\otimes 13}{5 \oplus 10 \oplus 23 \oplus 24} & \htmlTitle{20\otimes 14}{23 \oplus 13 \oplus 27 \oplus 9} & \htmlTitle{20\otimes 15}{4 \oplus 11 \oplus 22 \oplus 25} & \htmlTitle{20\otimes 16}{21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{20\otimes 17}{19 \oplus 16 \oplus 28 \oplus 20} & \htmlTitle{20\otimes 18}{17 \oplus 19 \oplus 21 \oplus 28} & \htmlTitle{20\otimes 19}{16 \oplus 28 \oplus 2\cdot20 \oplus 18 \oplus 2} & \htmlTitle{20\otimes 20}{17 \oplus 2\cdot21 \oplus 3 \oplus 28 \oplus 18} & & & & & & & & \\ \htmlTitle{21\otimes 1}{21} & \htmlTitle{21\otimes 2}{19} & \htmlTitle{21\otimes 3}{20} & \htmlTitle{21\otimes 4}{25 \oplus 7 \oplus 15} & \htmlTitle{21\otimes 5}{13 \oplus 27 \oplus 9} & \htmlTitle{21\otimes 6}{5 \oplus 10 \oplus 23} & \htmlTitle{21\otimes 7}{12 \oplus 26 \oplus 8} & \htmlTitle{21\otimes 8}{4 \oplus 11 \oplus 22} & \htmlTitle{21\otimes 9}{24 \oplus 6 \oplus 14} & \htmlTitle{21\otimes 10}{23 \oplus 13 \oplus 27 \oplus 9} & \htmlTitle{21\otimes 11}{25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{21\otimes 12}{4 \oplus 11 \oplus 22 \oplus 25} & \htmlTitle{21\otimes 13}{24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{21\otimes 14}{5 \oplus 10 \oplus 23 \oplus 24} & \htmlTitle{21\otimes 15}{22 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{21\otimes 16}{17 \oplus 19 \oplus 21 \oplus 28} & \htmlTitle{21\otimes 17}{21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{21\otimes 18}{19 \oplus 16 \oplus 28 \oplus 20} & \htmlTitle{21\otimes 19}{17 \oplus 2\cdot21 \oplus 3 \oplus 28 \oplus 18} & \htmlTitle{21\otimes 20}{1 \oplus 17 \oplus 2\cdot19 \oplus 16 \oplus 28} & \htmlTitle{21\otimes 21}{16 \oplus 28 \oplus 2\cdot20 \oplus 18 \oplus 2} & & & & & & & \\ \htmlTitle{22\otimes 1}{22} & \htmlTitle{22\otimes 2}{26} & \htmlTitle{22\otimes 3}{25} & \htmlTitle{22\otimes 4}{10 \oplus 23 \oplus 24} & \htmlTitle{22\otimes 5}{19 \oplus 16 \oplus 28} & \htmlTitle{22\otimes 6}{28 \oplus 20 \oplus 18} & \htmlTitle{22\otimes 7}{23 \oplus 13 \oplus 27} & \htmlTitle{22\otimes 8}{24 \oplus 27 \oplus 14} & \htmlTitle{22\otimes 9}{17 \oplus 21 \oplus 28} & \htmlTitle{22\otimes 10}{17 \oplus 19 \oplus 16 \oplus 28 \oplus 20} & \htmlTitle{22\otimes 11}{5 \oplus 10 \oplus 23 \oplus 24 \oplus 27} & \htmlTitle{22\otimes 12}{23 \oplus 24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{22\otimes 13}{17 \oplus 19 \oplus 21 \oplus 28 \oplus 18} & \htmlTitle{22\otimes 14}{16 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{22\otimes 15}{23 \oplus 13 \oplus 24 \oplus 27 \oplus 9} & \htmlTitle{22\otimes 16}{11 \oplus 22 \oplus 25 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{22\otimes 17}{4 \oplus 11 \oplus 22 \oplus 25 \oplus 26 \oplus 15} & \htmlTitle{22\otimes 18}{22 \oplus 25 \oplus 7 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{22\otimes 19}{4 \oplus 11 \oplus 2\cdot22 \oplus 25 \oplus 12 \oplus 26} & \htmlTitle{22\otimes 20}{22 \oplus 25 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{22\otimes 21}{11 \oplus 22 \oplus 2\cdot25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{22\otimes 22}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 2\cdot24 \oplus 27 \oplus 6 \oplus 14} & & & & & & \\ \htmlTitle{23\otimes 1}{23} & \htmlTitle{23\otimes 2}{24} & \htmlTitle{23\otimes 3}{27} & \htmlTitle{23\otimes 4}{17 \oplus 19 \oplus 28} & \htmlTitle{23\otimes 5}{11 \oplus 22 \oplus 25} & \htmlTitle{23\otimes 6}{22 \oplus 12 \oplus 26} & \htmlTitle{23\otimes 7}{21 \oplus 28 \oplus 18} & \htmlTitle{23\otimes 8}{16 \oplus 28 \oplus 20} & \htmlTitle{23\otimes 9}{25 \oplus 26 \oplus 15} & \htmlTitle{23\otimes 10}{4 \oplus 11 \oplus 22 \oplus 25 \oplus 26} & \htmlTitle{23\otimes 11}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 28} & \htmlTitle{23\otimes 12}{19 \oplus 16 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{23\otimes 13}{22 \oplus 25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{23\otimes 14}{22 \oplus 25 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{23\otimes 15}{17 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{23\otimes 16}{5 \oplus 10 \oplus 23 \oplus 24 \oplus 27 \oplus 14} & \htmlTitle{23\otimes 17}{10 \oplus 23 \oplus 13 \oplus 24 \oplus 27 \oplus 9} & \htmlTitle{23\otimes 18}{23 \oplus 13 \oplus 24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{23\otimes 19}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 24 \oplus 27} & \htmlTitle{23\otimes 20}{10 \oplus 23 \oplus 2\cdot24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{23\otimes 21}{23 \oplus 13 \oplus 24 \oplus 2\cdot27 \oplus 9 \oplus 14} & \htmlTitle{23\otimes 22}{1 \oplus 17 \oplus 2\cdot19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{23\otimes 23}{4 \oplus 11 \oplus 2\cdot22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 26 \oplus 15} & & & & & \\ \htmlTitle{24\otimes 1}{24} & \htmlTitle{24\otimes 2}{27} & \htmlTitle{24\otimes 3}{23} & \htmlTitle{24\otimes 4}{16 \oplus 28 \oplus 20} & \htmlTitle{24\otimes 5}{22 \oplus 12 \oplus 26} & \htmlTitle{24\otimes 6}{25 \oplus 26 \oplus 15} & \htmlTitle{24\otimes 7}{17 \oplus 19 \oplus 28} & \htmlTitle{24\otimes 8}{21 \oplus 28 \oplus 18} & \htmlTitle{24\otimes 9}{11 \oplus 22 \oplus 25} & \htmlTitle{24\otimes 10}{22 \oplus 25 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{24\otimes 11}{19 \oplus 16 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{24\otimes 12}{17 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{24\otimes 13}{4 \oplus 11 \oplus 22 \oplus 25 \oplus 26} & \htmlTitle{24\otimes 14}{22 \oplus 25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{24\otimes 15}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 28} & \htmlTitle{24\otimes 16}{23 \oplus 13 \oplus 24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{24\otimes 17}{5 \oplus 10 \oplus 23 \oplus 24 \oplus 27 \oplus 14} & \htmlTitle{24\otimes 18}{10 \oplus 23 \oplus 13 \oplus 24 \oplus 27 \oplus 9} & \htmlTitle{24\otimes 19}{10 \oplus 23 \oplus 2\cdot24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{24\otimes 20}{23 \oplus 13 \oplus 24 \oplus 2\cdot27 \oplus 9 \oplus 14} & \htmlTitle{24\otimes 21}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 24 \oplus 27} & \htmlTitle{24\otimes 22}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 2\cdot20 \oplus 18 \oplus 2} & \htmlTitle{24\otimes 23}{4 \oplus 11 \oplus 2\cdot22 \oplus 25 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{24\otimes 24}{11 \oplus 22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & & & & \\ \htmlTitle{25\otimes 1}{25} & \htmlTitle{25\otimes 2}{22} & \htmlTitle{25\otimes 3}{26} & \htmlTitle{25\otimes 4}{23 \oplus 13 \oplus 27} & \htmlTitle{25\otimes 5}{17 \oplus 21 \oplus 28} & \htmlTitle{25\otimes 6}{19 \oplus 16 \oplus 28} & \htmlTitle{25\otimes 7}{24 \oplus 27 \oplus 14} & \htmlTitle{25\otimes 8}{10 \oplus 23 \oplus 24} & \htmlTitle{25\otimes 9}{28 \oplus 20 \oplus 18} & \htmlTitle{25\otimes 10}{17 \oplus 19 \oplus 21 \oplus 28 \oplus 18} & \htmlTitle{25\otimes 11}{23 \oplus 13 \oplus 24 \oplus 27 \oplus 9} & \htmlTitle{25\otimes 12}{5 \oplus 10 \oplus 23 \oplus 24 \oplus 27} & \htmlTitle{25\otimes 13}{16 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{25\otimes 14}{17 \oplus 19 \oplus 16 \oplus 28 \oplus 20} & \htmlTitle{25\otimes 15}{23 \oplus 24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{25\otimes 16}{4 \oplus 11 \oplus 22 \oplus 25 \oplus 26 \oplus 15} & \htmlTitle{25\otimes 17}{22 \oplus 25 \oplus 7 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{25\otimes 18}{11 \oplus 22 \oplus 25 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{25\otimes 19}{11 \oplus 22 \oplus 2\cdot25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{25\otimes 20}{4 \oplus 11 \oplus 2\cdot22 \oplus 25 \oplus 12 \oplus 26} & \htmlTitle{25\otimes 21}{22 \oplus 25 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{25\otimes 22}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 24 \oplus 2\cdot27 \oplus 9 \oplus 14} & \htmlTitle{25\otimes 23}{17 \oplus 19 \oplus 16 \oplus 2\cdot21 \oplus 3 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{25\otimes 24}{1 \oplus 17 \oplus 2\cdot19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{25\otimes 25}{10 \oplus 23 \oplus 13 \oplus 2\cdot24 \oplus 2\cdot27 \oplus 9 \oplus 6 \oplus 14} & & & \\ \htmlTitle{26\otimes 1}{26} & \htmlTitle{26\otimes 2}{25} & \htmlTitle{26\otimes 3}{22} & \htmlTitle{26\otimes 4}{24 \oplus 27 \oplus 14} & \htmlTitle{26\otimes 5}{28 \oplus 20 \oplus 18} & \htmlTitle{26\otimes 6}{17 \oplus 21 \oplus 28} & \htmlTitle{26\otimes 7}{10 \oplus 23 \oplus 24} & \htmlTitle{26\otimes 8}{23 \oplus 13 \oplus 27} & \htmlTitle{26\otimes 9}{19 \oplus 16 \oplus 28} & \htmlTitle{26\otimes 10}{16 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{26\otimes 11}{23 \oplus 24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{26\otimes 12}{23 \oplus 13 \oplus 24 \oplus 27 \oplus 9} & \htmlTitle{26\otimes 13}{17 \oplus 19 \oplus 16 \oplus 28 \oplus 20} & \htmlTitle{26\otimes 14}{17 \oplus 19 \oplus 21 \oplus 28 \oplus 18} & \htmlTitle{26\otimes 15}{5 \oplus 10 \oplus 23 \oplus 24 \oplus 27} & \htmlTitle{26\otimes 16}{22 \oplus 25 \oplus 7 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{26\otimes 17}{11 \oplus 22 \oplus 25 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{26\otimes 18}{4 \oplus 11 \oplus 22 \oplus 25 \oplus 26 \oplus 15} & \htmlTitle{26\otimes 19}{22 \oplus 25 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{26\otimes 20}{11 \oplus 22 \oplus 2\cdot25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{26\otimes 21}{4 \oplus 11 \oplus 2\cdot22 \oplus 25 \oplus 12 \oplus 26} & \htmlTitle{26\otimes 22}{10 \oplus 23 \oplus 13 \oplus 2\cdot24 \oplus 2\cdot27 \oplus 9 \oplus 6 \oplus 14} & \htmlTitle{26\otimes 23}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 2\cdot20 \oplus 18 \oplus 2} & \htmlTitle{26\otimes 24}{17 \oplus 19 \oplus 16 \oplus 2\cdot21 \oplus 3 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{26\otimes 25}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 2\cdot24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{26\otimes 26}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 24 \oplus 2\cdot27 \oplus 9 \oplus 14} & & \\ \htmlTitle{27\otimes 1}{27} & \htmlTitle{27\otimes 2}{23} & \htmlTitle{27\otimes 3}{24} & \htmlTitle{27\otimes 4}{21 \oplus 28 \oplus 18} & \htmlTitle{27\otimes 5}{25 \oplus 26 \oplus 15} & \htmlTitle{27\otimes 6}{11 \oplus 22 \oplus 25} & \htmlTitle{27\otimes 7}{16 \oplus 28 \oplus 20} & \htmlTitle{27\otimes 8}{17 \oplus 19 \oplus 28} & \htmlTitle{27\otimes 9}{22 \oplus 12 \oplus 26} & \htmlTitle{27\otimes 10}{22 \oplus 25 \oplus 7 \oplus 26 \oplus 15} & \htmlTitle{27\otimes 11}{17 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{27\otimes 12}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 28} & \htmlTitle{27\otimes 13}{22 \oplus 25 \oplus 12 \oplus 26 \oplus 8} & \htmlTitle{27\otimes 14}{4 \oplus 11 \oplus 22 \oplus 25 \oplus 26} & \htmlTitle{27\otimes 15}{19 \oplus 16 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{27\otimes 16}{10 \oplus 23 \oplus 13 \oplus 24 \oplus 27 \oplus 9} & \htmlTitle{27\otimes 17}{23 \oplus 13 \oplus 24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{27\otimes 18}{5 \oplus 10 \oplus 23 \oplus 24 \oplus 27 \oplus 14} & \htmlTitle{27\otimes 19}{23 \oplus 13 \oplus 24 \oplus 2\cdot27 \oplus 9 \oplus 14} & \htmlTitle{27\otimes 20}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 24 \oplus 27} & \htmlTitle{27\otimes 21}{10 \oplus 23 \oplus 2\cdot24 \oplus 27 \oplus 6 \oplus 14} & \htmlTitle{27\otimes 22}{17 \oplus 19 \oplus 16 \oplus 2\cdot21 \oplus 3 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{27\otimes 23}{11 \oplus 22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{27\otimes 24}{4 \oplus 11 \oplus 2\cdot22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{27\otimes 25}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 2\cdot20 \oplus 18 \oplus 2} & \htmlTitle{27\otimes 26}{1 \oplus 17 \oplus 2\cdot19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{27\otimes 27}{4 \oplus 11 \oplus 2\cdot22 \oplus 25 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \\ \htmlTitle{28\otimes 1}{28} & \htmlTitle{28\otimes 2}{28} & \htmlTitle{28\otimes 3}{28} & \htmlTitle{28\otimes 4}{22 \oplus 25 \oplus 26} & \htmlTitle{28\otimes 5}{23 \oplus 24 \oplus 27} & \htmlTitle{28\otimes 6}{23 \oplus 24 \oplus 27} & \htmlTitle{28\otimes 7}{22 \oplus 25 \oplus 26} & \htmlTitle{28\otimes 8}{22 \oplus 25 \oplus 26} & \htmlTitle{28\otimes 9}{23 \oplus 24 \oplus 27} & \htmlTitle{28\otimes 10}{10 \oplus 23 \oplus 13 \oplus 24 \oplus 27 \oplus 14} & \htmlTitle{28\otimes 11}{11 \oplus 22 \oplus 25 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{28\otimes 12}{11 \oplus 22 \oplus 25 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{28\otimes 13}{10 \oplus 23 \oplus 13 \oplus 24 \oplus 27 \oplus 14} & \htmlTitle{28\otimes 14}{10 \oplus 23 \oplus 13 \oplus 24 \oplus 27 \oplus 14} & \htmlTitle{28\otimes 15}{11 \oplus 22 \oplus 25 \oplus 12 \oplus 26 \oplus 15} & \htmlTitle{28\otimes 16}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{28\otimes 17}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{28\otimes 18}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 28 \oplus 20 \oplus 18} & \htmlTitle{28\otimes 19}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{28\otimes 20}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{28\otimes 21}{17 \oplus 19 \oplus 16 \oplus 21 \oplus 2\cdot28 \oplus 20 \oplus 18} & \htmlTitle{28\otimes 22}{4 \oplus 11 \oplus 2\cdot22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{28\otimes 23}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 2\cdot24 \oplus 2\cdot27 \oplus 9 \oplus 6 \oplus 14} & \htmlTitle{28\otimes 24}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 2\cdot24 \oplus 2\cdot27 \oplus 9 \oplus 6 \oplus 14} & \htmlTitle{28\otimes 25}{4 \oplus 11 \oplus 2\cdot22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{28\otimes 26}{4 \oplus 11 \oplus 2\cdot22 \oplus 2\cdot25 \oplus 7 \oplus 12 \oplus 2\cdot26 \oplus 15 \oplus 8} & \htmlTitle{28\otimes 27}{5 \oplus 10 \oplus 2\cdot23 \oplus 13 \oplus 2\cdot24 \oplus 2\cdot27 \oplus 9 \oplus 6 \oplus 14} & \htmlTitle{28\otimes 28}{1 \oplus 17 \oplus 2\cdot19 \oplus 16 \oplus 2\cdot21 \oplus 3 \oplus 3\cdot28 \oplus 2\cdot20 \oplus 18 \oplus 2} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.000\) | \( 1 \) |
| \( 4\) | \(2.532\) | \( - \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 1 \) |
| \( 5\) | \(2.532\) | \( - \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 1 \) |
| \( 6\) | \(2.532\) | \( - \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 1 \) |
| \( 7\) | \(2.532\) | \( - \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 1 \) |
| \( 8\) | \(2.532\) | \( - \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 1 \) |
| \( 9\) | \(2.532\) | \( - \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 1 \) |
| \( 10\) | \(3.879\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 11\) | \(3.879\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 12\) | \(3.879\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 13\) | \(3.879\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 14\) | \(3.879\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 15\) | \(3.879\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + \cos{\left(\frac{2 \pi}{9} \right)} + \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 16\) | \(4.411\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{9} \right)} + 2 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 17\) | \(4.411\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{9} \right)} + 2 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 18\) | \(4.411\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{9} \right)} + 2 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 19\) | \(5.411\) | \( 2 \cos{\left(\frac{2 \pi}{9} \right)} + 2 \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 20\) | \(5.411\) | \( 2 \cos{\left(\frac{2 \pi}{9} \right)} + 2 \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 21\) | \(5.411\) | \( 2 \cos{\left(\frac{2 \pi}{9} \right)} + 2 \cos{\left(\frac{\pi}{9} \right)} + 2 \) |
| \( 22\) | \(7.291\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + 2 + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 23\) | \(7.291\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + 2 + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 24\) | \(7.291\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + 2 + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 25\) | \(7.291\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + 2 + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 26\) | \(7.291\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + 2 + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 27\) | \(7.291\) | \( \cos{\left(\frac{4 \pi}{9} \right)} + 2 + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} \) |
| \( 28\) | \(8.638\) | \( 3 \cos{\left(\frac{4 \pi}{9} \right)} + 3 \cos{\left(\frac{2 \pi}{9} \right)} + 3 \cos{\left(\frac{\pi}{9} \right)} + 3 \) |
| \( D^2\) | 671.560 | \(81 \cos{\left(\frac{4 \pi}{9} \right)} + 243 \cos{\left(\frac{2 \pi}{9} \right)} + 243 \cos{\left(\frac{\pi}{9} \right)} + 243\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{0} & \htmlTitle{\theta_{3}}{0} & \htmlTitle{\theta_{4}}{\frac{8}{27}} & \htmlTitle{\theta_{5}}{\frac{8}{27}} & \htmlTitle{\theta_{6}}{\frac{26}{27}} & \htmlTitle{\theta_{7}}{\frac{26}{27}} & \htmlTitle{\theta_{8}}{\frac{44}{27}} & \htmlTitle{\theta_{9}}{\frac{44}{27}} & \htmlTitle{\theta_{10}}{\frac{20}{27}} & \htmlTitle{\theta_{11}}{\frac{20}{27}} & \htmlTitle{\theta_{12}}{\frac{2}{27}} & \htmlTitle{\theta_{13}}{\frac{2}{27}} & \htmlTitle{\theta_{14}}{\frac{38}{27}} & \htmlTitle{\theta_{15}}{\frac{38}{27}} & \htmlTitle{\theta_{16}}{\frac{4}{3}} & \htmlTitle{\theta_{17}}{\frac{4}{3}} & \htmlTitle{\theta_{18}}{\frac{4}{3}} & \htmlTitle{\theta_{19}}{\frac{2}{3}} & \htmlTitle{\theta_{20}}{\frac{2}{3}} & \htmlTitle{\theta_{21}}{\frac{2}{3}} & \htmlTitle{\theta_{22}}{\frac{32}{27}} & \htmlTitle{\theta_{23}}{\frac{32}{27}} & \htmlTitle{\theta_{24}}{\frac{50}{27}} & \htmlTitle{\theta_{25}}{\frac{50}{27}} & \htmlTitle{\theta_{26}}{\frac{14}{27}} & \htmlTitle{\theta_{27}}{\frac{14}{27}} & \htmlTitle{\theta_{28}}{\frac{16}{9}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{llllllllllllllllllllllllllll} \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}}{1} & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{108}^{24} + \zeta_{108}^{12} + \zeta_{108}^{6} + 1} & \htmlTitle{S_{4; 2}}{\zeta_{108}^{30} + \zeta_{108}^{24} + \zeta_{108}^{18} - \zeta_{108}^{12} - 1} & \htmlTitle{S_{4; 3}}{-\zeta_{108}^{30} - \zeta_{108}^{18} - \zeta_{108}^{6}} & \htmlTitle{S_{4; 4}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + 2 \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{108}^{24} + \zeta_{108}^{12} + \zeta_{108}^{6} + 1} & \htmlTitle{S_{5; 2}}{-\zeta_{108}^{30} - \zeta_{108}^{18} - \zeta_{108}^{6}} & \htmlTitle{S_{5; 3}}{\zeta_{108}^{30} + \zeta_{108}^{24} + \zeta_{108}^{18} - \zeta_{108}^{12} - 1} & \htmlTitle{S_{5; 4}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + 2 \zeta_{108}^{2}} & \htmlTitle{S_{5; 5}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + 2 \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{108}^{24} + \zeta_{108}^{12} + \zeta_{108}^{6} + 1} & \htmlTitle{S_{6; 2}}{-\zeta_{108}^{30} - \zeta_{108}^{18} - \zeta_{108}^{6}} & \htmlTitle{S_{6; 3}}{\zeta_{108}^{30} + \zeta_{108}^{24} + \zeta_{108}^{18} - \zeta_{108}^{12} - 1} & \htmlTitle{S_{6; 4}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - \zeta_{108}^{2}} & \htmlTitle{S_{6; 5}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{6; 6}}{2 \zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-\zeta_{108}^{24} + \zeta_{108}^{12} + \zeta_{108}^{6} + 1} & \htmlTitle{S_{7; 2}}{\zeta_{108}^{30} + \zeta_{108}^{24} + \zeta_{108}^{18} - \zeta_{108}^{12} - 1} & \htmlTitle{S_{7; 3}}{-\zeta_{108}^{30} - \zeta_{108}^{18} - \zeta_{108}^{6}} & \htmlTitle{S_{7; 4}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{7; 5}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - \zeta_{108}^{2}} & \htmlTitle{S_{7; 6}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - \zeta_{108}^{2}} & \htmlTitle{S_{7; 7}}{2 \zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{8; 1}}{-\zeta_{108}^{24} + \zeta_{108}^{12} + \zeta_{108}^{6} + 1} & \htmlTitle{S_{8; 2}}{\zeta_{108}^{30} + \zeta_{108}^{24} + \zeta_{108}^{18} - \zeta_{108}^{12} - 1} & \htmlTitle{S_{8; 3}}{-\zeta_{108}^{30} - \zeta_{108}^{18} - \zeta_{108}^{6}} & \htmlTitle{S_{8; 4}}{2 \zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{8; 5}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - \zeta_{108}^{2}} & \htmlTitle{S_{8; 6}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + 2 \zeta_{108}^{2}} & \htmlTitle{S_{8; 7}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + 2 \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & \htmlTitle{S_{8; 8}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{9; 1}}{-\zeta_{108}^{24} + \zeta_{108}^{12} + \zeta_{108}^{6} + 1} & \htmlTitle{S_{9; 2}}{-\zeta_{108}^{30} - \zeta_{108}^{18} - \zeta_{108}^{6}} & \htmlTitle{S_{9; 3}}{\zeta_{108}^{30} + \zeta_{108}^{24} + \zeta_{108}^{18} - \zeta_{108}^{12} - 1} & \htmlTitle{S_{9; 4}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - \zeta_{108}^{2}} & \htmlTitle{S_{9; 5}}{2 \zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{9; 6}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + 2 \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & \htmlTitle{S_{9; 7}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + 2 \zeta_{108}^{2}} & \htmlTitle{S_{9; 8}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - \zeta_{108}^{2}} & \htmlTitle{S_{9; 9}}{-\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{10; 1}}{-\zeta_{108}^{30} + \zeta_{108}^{12} + \zeta_{108}^{6} + 2} & \htmlTitle{S_{10; 2}}{-\zeta_{108}^{24} - 2 \zeta_{108}^{18} - \zeta_{108}^{12}} & \htmlTitle{S_{10; 3}}{\zeta_{108}^{30} + \zeta_{108}^{24} + 2 \zeta_{108}^{18} - \zeta_{108}^{6} - 2} & \htmlTitle{S_{10; 4}}{-\zeta_{108}^{32} - \zeta_{108}^{26} + \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{10; 5}}{-2 \zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & \htmlTitle{S_{10; 6}}{\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - 2 \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{10; 7}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - 2 \zeta_{108}^{2}} & \htmlTitle{S_{10; 8}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{10; 9}}{\zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} + \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{10; 10}}{\zeta_{108}^{34} + \zeta_{108}^{28} + 2 \zeta_{108}^{22} + \zeta_{108}^{16} + \zeta_{108}^{10} - \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{11; 1}}{-\zeta_{108}^{30} + \zeta_{108}^{12} + \zeta_{108}^{6} + 2} & \htmlTitle{S_{11; 2}}{\zeta_{108}^{30} + \zeta_{108}^{24} + 2 \zeta_{108}^{18} - \zeta_{108}^{6} - 2} & \htmlTitle{S_{11; 3}}{-\zeta_{108}^{24} - 2 \zeta_{108}^{18} - \zeta_{108}^{12}} & \htmlTitle{S_{11; 4}}{-2 \zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & \htmlTitle{S_{11; 5}}{-\zeta_{108}^{32} - \zeta_{108}^{26} + \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{11; 6}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - 2 \zeta_{108}^{2}} & \htmlTitle{S_{11; 7}}{\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - 2 \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{11; 8}}{\zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} + \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{11; 9}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{11; 10}}{-\zeta_{108}^{32} - 2 \zeta_{108}^{26} - 2 \zeta_{108}^{20} - \zeta_{108}^{14} + \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{11; 11}}{\zeta_{108}^{34} + \zeta_{108}^{28} + 2 \zeta_{108}^{22} + \zeta_{108}^{16} + \zeta_{108}^{10} - \zeta_{108}^{4}} & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{12; 1}}{-\zeta_{108}^{30} + \zeta_{108}^{12} + \zeta_{108}^{6} + 2} & \htmlTitle{S_{12; 2}}{\zeta_{108}^{30} + \zeta_{108}^{24} + 2 \zeta_{108}^{18} - \zeta_{108}^{6} - 2} & \htmlTitle{S_{12; 3}}{-\zeta_{108}^{24} - 2 \zeta_{108}^{18} - \zeta_{108}^{12}} & \htmlTitle{S_{12; 4}}{\zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} + \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{12; 5}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{12; 6}}{-\zeta_{108}^{32} - \zeta_{108}^{26} + \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{12; 7}}{-2 \zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & \htmlTitle{S_{12; 8}}{\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - 2 \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{12; 9}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - 2 \zeta_{108}^{2}} & \htmlTitle{S_{12; 10}}{2 \zeta_{108}^{32} + \zeta_{108}^{26} + \zeta_{108}^{20} - \zeta_{108}^{14} - 2 \zeta_{108}^{8} - 2 \zeta_{108}^{2}} & \htmlTitle{S_{12; 11}}{\zeta_{108}^{34} + \zeta_{108}^{28} - \zeta_{108}^{22} - 2 \zeta_{108}^{16} - 2 \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{12; 12}}{-2 \zeta_{108}^{34} - 2 \zeta_{108}^{28} - \zeta_{108}^{22} + \zeta_{108}^{16} + \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{13; 1}}{-\zeta_{108}^{30} + \zeta_{108}^{12} + \zeta_{108}^{6} + 2} & \htmlTitle{S_{13; 2}}{-\zeta_{108}^{24} - 2 \zeta_{108}^{18} - \zeta_{108}^{12}} & \htmlTitle{S_{13; 3}}{\zeta_{108}^{30} + \zeta_{108}^{24} + 2 \zeta_{108}^{18} - \zeta_{108}^{6} - 2} & \htmlTitle{S_{13; 4}}{-\zeta_{108}^{32} - \zeta_{108}^{26} - 2 \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{13; 5}}{\zeta_{108}^{34} + 2 \zeta_{108}^{28} + 2 \zeta_{108}^{22} + \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{13; 6}}{-2 \zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} + \zeta_{108}^{16} + 2 \zeta_{108}^{10} + 2 \zeta_{108}^{4}} & \htmlTitle{S_{13; 7}}{-\zeta_{108}^{32} - \zeta_{108}^{26} + \zeta_{108}^{20} + 2 \zeta_{108}^{14} + 2 \zeta_{108}^{8} + \zeta_{108}^{2}} & \htmlTitle{S_{13; 8}}{2 \zeta_{108}^{32} + 2 \zeta_{108}^{26} + \zeta_{108}^{20} - \zeta_{108}^{14} - \zeta_{108}^{8} - 2 \zeta_{108}^{2}} & \htmlTitle{S_{13; 9}}{\zeta_{108}^{34} - \zeta_{108}^{28} - \zeta_{108}^{22} - 2 \zeta_{108}^{16} - \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{13; 10}}{\zeta_{108}^{34} + \zeta_{108}^{28} - \zeta_{108}^{22} - 2 \zeta_{108}^{16} - 2 \zeta_{108}^{10} - \zeta_{108}^{4}} & \htmlTitle{S_{13; 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Central Charge
\[c = \frac{16}{3} \]