Fusion Ring
\[ \begin{array}{llllllllllllllllllllllllllllllllllll} \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 22} & \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}{23 \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}{24 \oplus 3} & \htmlTitle{7\otimes 6}{1 \oplus 22} & \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}{23 \oplus 2} & \htmlTitle{8\otimes 6}{24 \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}{24 \oplus 3} & \htmlTitle{9\otimes 5}{7 \oplus 15} & \htmlTitle{9\otimes 6}{4 \oplus 11} & \htmlTitle{9\otimes 7}{23 \oplus 2} & \htmlTitle{9\otimes 8}{1 \oplus 22} & \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}{22 \oplus 16} & \htmlTitle{10\otimes 5}{4 \oplus 25} & \htmlTitle{10\otimes 6}{29 \oplus 8} & \htmlTitle{10\otimes 7}{19 \oplus 24} & \htmlTitle{10\otimes 8}{23 \oplus 20} & \htmlTitle{10\otimes 9}{28 \oplus 7} & \htmlTitle{10\otimes 10}{11 \oplus 25 \oplus 18} & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{12} & \htmlTitle{11\otimes 3}{15} & \htmlTitle{11\otimes 4}{5 \oplus 26} & \htmlTitle{11\otimes 5}{17 \oplus 22} & \htmlTitle{11\otimes 6}{18 \oplus 23} & \htmlTitle{11\otimes 7}{30 \oplus 9} & \htmlTitle{11\otimes 8}{27 \oplus 6} & \htmlTitle{11\otimes 9}{24 \oplus 21} & \htmlTitle{11\otimes 10}{1 \oplus 22 \oplus 34} & \htmlTitle{11\otimes 11}{10 \oplus 26 \oplus 19} & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{15} & \htmlTitle{12\otimes 3}{11} & \htmlTitle{12\otimes 4}{27 \oplus 6} & \htmlTitle{12\otimes 5}{18 \oplus 23} & \htmlTitle{12\otimes 6}{24 \oplus 21} & \htmlTitle{12\otimes 7}{5 \oplus 26} & \htmlTitle{12\otimes 8}{30 \oplus 9} & \htmlTitle{12\otimes 9}{17 \oplus 22} & \htmlTitle{12\otimes 10}{35 \oplus 23 \oplus 2} & \htmlTitle{12\otimes 11}{16 \oplus 27 \oplus 14} & \htmlTitle{12\otimes 12}{13 \oplus 30 \oplus 20} & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{10} & \htmlTitle{13\otimes 3}{14} & \htmlTitle{13\otimes 4}{19 \oplus 24} & \htmlTitle{13\otimes 5}{28 \oplus 7} & \htmlTitle{13\otimes 6}{4 \oplus 25} & \htmlTitle{13\otimes 7}{23 \oplus 20} & \htmlTitle{13\otimes 8}{22 \oplus 16} & \htmlTitle{13\otimes 9}{29 \oplus 8} & \htmlTitle{13\otimes 10}{17 \oplus 28 \oplus 15} & \htmlTitle{13\otimes 11}{36 \oplus 24 \oplus 3} & \htmlTitle{13\otimes 12}{1 \oplus 22 \oplus 34} & \htmlTitle{13\otimes 13}{12 \oplus 29 \oplus 21} & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{14\otimes 1}{14} & \htmlTitle{14\otimes 2}{13} & \htmlTitle{14\otimes 3}{10} & \htmlTitle{14\otimes 4}{23 \oplus 20} & \htmlTitle{14\otimes 5}{29 \oplus 8} & \htmlTitle{14\otimes 6}{28 \oplus 7} & \htmlTitle{14\otimes 7}{22 \oplus 16} & \htmlTitle{14\otimes 8}{19 \oplus 24} & \htmlTitle{14\otimes 9}{4 \oplus 25} & \htmlTitle{14\otimes 10}{12 \oplus 29 \oplus 21} & \htmlTitle{14\otimes 11}{35 \oplus 23 \oplus 2} & \htmlTitle{14\otimes 12}{36 \oplus 24 \oplus 3} & \htmlTitle{14\otimes 13}{11 \oplus 25 \oplus 18} & \htmlTitle{14\otimes 14}{17 \oplus 28 \oplus 15} & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{15\otimes 1}{15} & \htmlTitle{15\otimes 2}{11} & \htmlTitle{15\otimes 3}{12} & \htmlTitle{15\otimes 4}{30 \oplus 9} & \htmlTitle{15\otimes 5}{24 \oplus 21} & \htmlTitle{15\otimes 6}{17 \oplus 22} & \htmlTitle{15\otimes 7}{27 \oplus 6} & \htmlTitle{15\otimes 8}{5 \oplus 26} & \htmlTitle{15\otimes 9}{18 \oplus 23} & \htmlTitle{15\otimes 10}{36 \oplus 24 \oplus 3} & \htmlTitle{15\otimes 11}{13 \oplus 30 \oplus 20} & \htmlTitle{15\otimes 12}{10 \oplus 26 \oplus 19} & \htmlTitle{15\otimes 13}{35 \oplus 23 \oplus 2} & \htmlTitle{15\otimes 14}{1 \oplus 22 \oplus 34} & \htmlTitle{15\otimes 15}{16 \oplus 27 \oplus 14} & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{16\otimes 1}{16} & \htmlTitle{16\otimes 2}{20} & \htmlTitle{16\otimes 3}{19} & \htmlTitle{16\otimes 4}{25 \oplus 18} & \htmlTitle{16\otimes 5}{10 \oplus 31} & \htmlTitle{16\otimes 6}{33 \oplus 14} & \htmlTitle{16\otimes 7}{17 \oplus 28} & \htmlTitle{16\otimes 8}{29 \oplus 21} & \htmlTitle{16\otimes 9}{32 \oplus 13} & \htmlTitle{16\otimes 10}{26 \oplus 31 \oplus 12} & \htmlTitle{16\otimes 11}{4 \oplus 25 \oplus 35} & \htmlTitle{16\otimes 12}{36 \oplus 29 \oplus 8} & \htmlTitle{16\otimes 13}{11 \oplus 32 \oplus 30} & \htmlTitle{16\otimes 14}{27 \oplus 15 \oplus 33} & \htmlTitle{16\otimes 15}{28 \oplus 7 \oplus 34} & \htmlTitle{16\otimes 16}{17 \oplus 34 \oplus 27 \oplus 6} & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{17\otimes 1}{17} & \htmlTitle{17\otimes 2}{18} & \htmlTitle{17\otimes 3}{21} & \htmlTitle{17\otimes 4}{11 \oplus 32} & \htmlTitle{17\otimes 5}{26 \oplus 19} & \htmlTitle{17\otimes 6}{16 \oplus 27} & \htmlTitle{17\otimes 7}{15 \oplus 33} & \htmlTitle{17\otimes 8}{31 \oplus 12} & \htmlTitle{17\otimes 9}{30 \oplus 20} & \htmlTitle{17\otimes 10}{5 \oplus 26 \oplus 36} & \htmlTitle{17\otimes 11}{25 \oplus 32 \oplus 13} & \htmlTitle{17\otimes 12}{10 \oplus 31 \oplus 29} & \htmlTitle{17\otimes 13}{35 \oplus 30 \oplus 9} & \htmlTitle{17\otimes 14}{34 \oplus 27 \oplus 6} & \htmlTitle{17\otimes 15}{28 \oplus 33 \oplus 14} & \htmlTitle{17\otimes 16}{1 \oplus 22 \oplus 34 \oplus 33} & \htmlTitle{17\otimes 17}{16 \oplus 28 \oplus 7 \oplus 34} & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{18\otimes 1}{18} & \htmlTitle{18\otimes 2}{21} & \htmlTitle{18\otimes 3}{17} & \htmlTitle{18\otimes 4}{31 \oplus 12} & \htmlTitle{18\otimes 5}{16 \oplus 27} & \htmlTitle{18\otimes 6}{30 \oplus 20} & \htmlTitle{18\otimes 7}{11 \oplus 32} & \htmlTitle{18\otimes 8}{15 \oplus 33} & \htmlTitle{18\otimes 9}{26 \oplus 19} & \htmlTitle{18\otimes 10}{34 \oplus 27 \oplus 6} & \htmlTitle{18\otimes 11}{10 \oplus 31 \oplus 29} & \htmlTitle{18\otimes 12}{28 \oplus 33 \oplus 14} & \htmlTitle{18\otimes 13}{5 \oplus 26 \oplus 36} & \htmlTitle{18\otimes 14}{35 \oplus 30 \oplus 9} & \htmlTitle{18\otimes 15}{25 \oplus 32 \oplus 13} & \htmlTitle{18\otimes 16}{32 \oplus 35 \oplus 23 \oplus 2} & \htmlTitle{18\otimes 17}{4 \oplus 25 \oplus 35 \oplus 20} & \htmlTitle{18\otimes 18}{19 \oplus 36 \oplus 29 \oplus 8} & & & & & & & & & & & & & & & & & & \\ \htmlTitle{19\otimes 1}{19} & \htmlTitle{19\otimes 2}{16} & \htmlTitle{19\otimes 3}{20} & \htmlTitle{19\otimes 4}{17 \oplus 28} & \htmlTitle{19\otimes 5}{32 \oplus 13} & \htmlTitle{19\otimes 6}{10 \oplus 31} & \htmlTitle{19\otimes 7}{29 \oplus 21} & \htmlTitle{19\otimes 8}{25 \oplus 18} & \htmlTitle{19\otimes 9}{33 \oplus 14} & \htmlTitle{19\otimes 10}{11 \oplus 32 \oplus 30} & \htmlTitle{19\otimes 11}{28 \oplus 7 \oplus 34} & \htmlTitle{19\otimes 12}{4 \oplus 25 \oplus 35} & \htmlTitle{19\otimes 13}{27 \oplus 15 \oplus 33} & \htmlTitle{19\otimes 14}{26 \oplus 31 \oplus 12} & \htmlTitle{19\otimes 15}{36 \oplus 29 \oplus 8} & \htmlTitle{19\otimes 16}{5 \oplus 26 \oplus 36 \oplus 21} & \htmlTitle{19\otimes 17}{31 \oplus 36 \oplus 24 \oplus 3} & \htmlTitle{19\otimes 18}{1 \oplus 22 \oplus 34 \oplus 33} & \htmlTitle{19\otimes 19}{18 \oplus 35 \oplus 30 \oplus 9} & & & & & & & & & & & & & & & & & \\ \htmlTitle{20\otimes 1}{20} & \htmlTitle{20\otimes 2}{19} & \htmlTitle{20\otimes 3}{16} & \htmlTitle{20\otimes 4}{29 \oplus 21} & \htmlTitle{20\otimes 5}{33 \oplus 14} & \htmlTitle{20\otimes 6}{32 \oplus 13} & \htmlTitle{20\otimes 7}{25 \oplus 18} & \htmlTitle{20\otimes 8}{17 \oplus 28} & \htmlTitle{20\otimes 9}{10 \oplus 31} & \htmlTitle{20\otimes 10}{27 \oplus 15 \oplus 33} & \htmlTitle{20\otimes 11}{36 \oplus 29 \oplus 8} & \htmlTitle{20\otimes 12}{28 \oplus 7 \oplus 34} & \htmlTitle{20\otimes 13}{26 \oplus 31 \oplus 12} & \htmlTitle{20\otimes 14}{11 \oplus 32 \oplus 30} & \htmlTitle{20\otimes 15}{4 \oplus 25 \oplus 35} & \htmlTitle{20\otimes 16}{18 \oplus 35 \oplus 30 \oplus 9} & \htmlTitle{20\otimes 17}{32 \oplus 35 \oplus 23 \oplus 2} & \htmlTitle{20\otimes 18}{31 \oplus 36 \oplus 24 \oplus 3} & \htmlTitle{20\otimes 19}{17 \oplus 34 \oplus 27 \oplus 6} & \htmlTitle{20\otimes 20}{5 \oplus 26 \oplus 36 \oplus 21} & & & & & & & & & & & & & & & & \\ \htmlTitle{21\otimes 1}{21} & \htmlTitle{21\otimes 2}{17} & \htmlTitle{21\otimes 3}{18} & \htmlTitle{21\otimes 4}{15 \oplus 33} & \htmlTitle{21\otimes 5}{30 \oplus 20} & \htmlTitle{21\otimes 6}{26 \oplus 19} & \htmlTitle{21\otimes 7}{31 \oplus 12} & \htmlTitle{21\otimes 8}{11 \oplus 32} & \htmlTitle{21\otimes 9}{16 \oplus 27} & \htmlTitle{21\otimes 10}{35 \oplus 30 \oplus 9} & \htmlTitle{21\otimes 11}{28 \oplus 33 \oplus 14} & \htmlTitle{21\otimes 12}{25 \oplus 32 \oplus 13} & \htmlTitle{21\otimes 13}{34 \oplus 27 \oplus 6} & \htmlTitle{21\otimes 14}{5 \oplus 26 \oplus 36} & \htmlTitle{21\otimes 15}{10 \oplus 31 \oplus 29} & \htmlTitle{21\otimes 16}{31 \oplus 36 \oplus 24 \oplus 3} & \htmlTitle{21\otimes 17}{19 \oplus 36 \oplus 29 \oplus 8} & \htmlTitle{21\otimes 18}{16 \oplus 28 \oplus 7 \oplus 34} & \htmlTitle{21\otimes 19}{32 \oplus 35 \oplus 23 \oplus 2} & \htmlTitle{21\otimes 20}{1 \oplus 22 \oplus 34 \oplus 33} & \htmlTitle{21\otimes 21}{4 \oplus 25 \oplus 35 \oplus 20} & & & & & & & & & & & & & & & \\ \htmlTitle{22\otimes 1}{22} & \htmlTitle{22\otimes 2}{23} & \htmlTitle{22\otimes 3}{24} & \htmlTitle{22\otimes 4}{4 \oplus 11 \oplus 25} & \htmlTitle{22\otimes 5}{5 \oplus 10 \oplus 26} & \htmlTitle{22\otimes 6}{27 \oplus 6 \oplus 14} & \htmlTitle{22\otimes 7}{28 \oplus 7 \oplus 15} & \htmlTitle{22\otimes 8}{12 \oplus 29 \oplus 8} & \htmlTitle{22\otimes 9}{13 \oplus 30 \oplus 9} & \htmlTitle{22\otimes 10}{5 \oplus 10 \oplus 26 \oplus 31} & \htmlTitle{22\otimes 11}{4 \oplus 11 \oplus 25 \oplus 32} & \htmlTitle{22\otimes 12}{31 \oplus 12 \oplus 29 \oplus 8} & \htmlTitle{22\otimes 13}{32 \oplus 13 \oplus 30 \oplus 9} & \htmlTitle{22\otimes 14}{27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{22\otimes 15}{28 \oplus 7 \oplus 15 \oplus 33} & \htmlTitle{22\otimes 16}{22 \oplus 16 \oplus 34 \oplus 27} & \htmlTitle{22\otimes 17}{17 \oplus 22 \oplus 28 \oplus 34} & \htmlTitle{22\otimes 18}{25 \oplus 18 \oplus 35 \oplus 23} & \htmlTitle{22\otimes 19}{26 \oplus 19 \oplus 36 \oplus 24} & \htmlTitle{22\otimes 20}{35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{22\otimes 21}{36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{22\otimes 22}{1 \oplus 17 \oplus 2\cdot22 \oplus 16 \oplus 34} & & & & & & & & & & & & & & \\ \htmlTitle{23\otimes 1}{23} & \htmlTitle{23\otimes 2}{24} & \htmlTitle{23\otimes 3}{22} & \htmlTitle{23\otimes 4}{12 \oplus 29 \oplus 8} & \htmlTitle{23\otimes 5}{27 \oplus 6 \oplus 14} & \htmlTitle{23\otimes 6}{13 \oplus 30 \oplus 9} & \htmlTitle{23\otimes 7}{4 \oplus 11 \oplus 25} & \htmlTitle{23\otimes 8}{28 \oplus 7 \oplus 15} & \htmlTitle{23\otimes 9}{5 \oplus 10 \oplus 26} & \htmlTitle{23\otimes 10}{27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{23\otimes 11}{31 \oplus 12 \oplus 29 \oplus 8} & \htmlTitle{23\otimes 12}{28 \oplus 7 \oplus 15 \oplus 33} & \htmlTitle{23\otimes 13}{5 \oplus 10 \oplus 26 \oplus 31} & \htmlTitle{23\otimes 14}{32 \oplus 13 \oplus 30 \oplus 9} & \htmlTitle{23\otimes 15}{4 \oplus 11 \oplus 25 \oplus 32} & \htmlTitle{23\otimes 16}{35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{23\otimes 17}{25 \oplus 18 \oplus 35 \oplus 23} & \htmlTitle{23\otimes 18}{36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{23\otimes 19}{22 \oplus 16 \oplus 34 \oplus 27} & \htmlTitle{23\otimes 20}{26 \oplus 19 \oplus 36 \oplus 24} & \htmlTitle{23\otimes 21}{17 \oplus 22 \oplus 28 \oplus 34} & \htmlTitle{23\otimes 22}{18 \oplus 35 \oplus 2\cdot23 \oplus 20 \oplus 2} & \htmlTitle{23\otimes 23}{19 \oplus 36 \oplus 2\cdot24 \oplus 3 \oplus 21} & & & & & & & & & & & & & \\ \htmlTitle{24\otimes 1}{24} & \htmlTitle{24\otimes 2}{22} & \htmlTitle{24\otimes 3}{23} & \htmlTitle{24\otimes 4}{28 \oplus 7 \oplus 15} & \htmlTitle{24\otimes 5}{13 \oplus 30 \oplus 9} & \htmlTitle{24\otimes 6}{5 \oplus 10 \oplus 26} & \htmlTitle{24\otimes 7}{12 \oplus 29 \oplus 8} & \htmlTitle{24\otimes 8}{4 \oplus 11 \oplus 25} & \htmlTitle{24\otimes 9}{27 \oplus 6 \oplus 14} & \htmlTitle{24\otimes 10}{32 \oplus 13 \oplus 30 \oplus 9} & \htmlTitle{24\otimes 11}{28 \oplus 7 \oplus 15 \oplus 33} & \htmlTitle{24\otimes 12}{4 \oplus 11 \oplus 25 \oplus 32} & \htmlTitle{24\otimes 13}{27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{24\otimes 14}{5 \oplus 10 \oplus 26 \oplus 31} & \htmlTitle{24\otimes 15}{31 \oplus 12 \oplus 29 \oplus 8} & \htmlTitle{24\otimes 16}{26 \oplus 19 \oplus 36 \oplus 24} & \htmlTitle{24\otimes 17}{36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{24\otimes 18}{17 \oplus 22 \oplus 28 \oplus 34} & \htmlTitle{24\otimes 19}{35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{24\otimes 20}{22 \oplus 16 \oplus 34 \oplus 27} & \htmlTitle{24\otimes 21}{25 \oplus 18 \oplus 35 \oplus 23} & \htmlTitle{24\otimes 22}{19 \oplus 36 \oplus 2\cdot24 \oplus 3 \oplus 21} & \htmlTitle{24\otimes 23}{1 \oplus 17 \oplus 2\cdot22 \oplus 16 \oplus 34} & \htmlTitle{24\otimes 24}{18 \oplus 35 \oplus 2\cdot23 \oplus 20 \oplus 2} & & & & & & & & & & & & \\ \htmlTitle{25\otimes 1}{25} & \htmlTitle{25\otimes 2}{29} & \htmlTitle{25\otimes 3}{28} & \htmlTitle{25\otimes 4}{10 \oplus 26 \oplus 31} & \htmlTitle{25\otimes 5}{22 \oplus 16 \oplus 34} & \htmlTitle{25\otimes 6}{35 \oplus 23 \oplus 20} & \htmlTitle{25\otimes 7}{32 \oplus 13 \oplus 30} & \htmlTitle{25\otimes 8}{27 \oplus 33 \oplus 14} & \htmlTitle{25\otimes 9}{19 \oplus 36 \oplus 24} & \htmlTitle{25\otimes 10}{17 \oplus 22 \oplus 16 \oplus 34 \oplus 27} & \htmlTitle{25\otimes 11}{5 \oplus 10 \oplus 26 \oplus 31 \oplus 36} & \htmlTitle{25\otimes 12}{34 \oplus 27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{25\otimes 13}{26 \oplus 19 \oplus 36 \oplus 24 \oplus 21} & \htmlTitle{25\otimes 14}{18 \oplus 35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{25\otimes 15}{32 \oplus 13 \oplus 35 \oplus 30 \oplus 9} & \htmlTitle{25\otimes 16}{11 \oplus 25 \oplus 32 \oplus 18 \oplus 35 \oplus 23} & \htmlTitle{25\otimes 17}{4 \oplus 11 \oplus 25 \oplus 32 \oplus 35 \oplus 30} & \htmlTitle{25\otimes 18}{26 \oplus 31 \oplus 36 \oplus 12 \oplus 29 \oplus 8} & \htmlTitle{25\otimes 19}{17 \oplus 22 \oplus 28 \oplus 34 \oplus 15 \oplus 33} & \htmlTitle{25\otimes 20}{31 \oplus 36 \oplus 24 \oplus 12 \oplus 29 \oplus 21} & \htmlTitle{25\otimes 21}{28 \oplus 7 \oplus 34 \oplus 27 \oplus 15 \oplus 33} & \htmlTitle{25\otimes 22}{4 \oplus 11 \oplus 2\cdot25 \oplus 32 \oplus 18 \oplus 35} & \htmlTitle{25\otimes 23}{31 \oplus 36 \oplus 12 \oplus 2\cdot29 \oplus 21 \oplus 8} & \htmlTitle{25\otimes 24}{17 \oplus 2\cdot28 \oplus 7 \oplus 34 \oplus 15 \oplus 33} & \htmlTitle{25\otimes 25}{5 \oplus 10 \oplus 2\cdot26 \oplus 19 \oplus 2\cdot31 \oplus 36 \oplus 12 \oplus 29} & & & & & & & & & & & \\ \htmlTitle{26\otimes 1}{26} & \htmlTitle{26\otimes 2}{27} & \htmlTitle{26\otimes 3}{30} & \htmlTitle{26\otimes 4}{17 \oplus 22 \oplus 34} & \htmlTitle{26\otimes 5}{11 \oplus 25 \oplus 32} & \htmlTitle{26\otimes 6}{31 \oplus 12 \oplus 29} & \htmlTitle{26\otimes 7}{36 \oplus 24 \oplus 21} & \htmlTitle{26\otimes 8}{18 \oplus 35 \oplus 23} & \htmlTitle{26\otimes 9}{28 \oplus 15 \oplus 33} & \htmlTitle{26\otimes 10}{4 \oplus 11 \oplus 25 \oplus 32 \oplus 35} & \htmlTitle{26\otimes 11}{17 \oplus 22 \oplus 16 \oplus 28 \oplus 34} & \htmlTitle{26\otimes 12}{25 \oplus 18 \oplus 35 \oplus 23 \oplus 20} & \htmlTitle{26\otimes 13}{28 \oplus 7 \oplus 34 \oplus 15 \oplus 33} & \htmlTitle{26\otimes 14}{31 \oplus 36 \oplus 12 \oplus 29 \oplus 8} & \htmlTitle{26\otimes 15}{19 \oplus 36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{26\otimes 16}{5 \oplus 10 \oplus 26 \oplus 31 \oplus 36 \oplus 29} & \htmlTitle{26\otimes 17}{10 \oplus 26 \oplus 19 \oplus 31 \oplus 36 \oplus 24} & \htmlTitle{26\otimes 18}{22 \oplus 16 \oplus 34 \oplus 27 \oplus 33 \oplus 14} & \htmlTitle{26\otimes 19}{25 \oplus 32 \oplus 13 \oplus 35 \oplus 30 \oplus 9} & \htmlTitle{26\otimes 20}{28 \oplus 34 \oplus 27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{26\otimes 21}{32 \oplus 13 \oplus 35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{26\otimes 22}{5 \oplus 10 \oplus 2\cdot26 \oplus 19 \oplus 31 \oplus 36} & \htmlTitle{26\otimes 23}{16 \oplus 34 \oplus 2\cdot27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{26\otimes 24}{32 \oplus 13 \oplus 35 \oplus 2\cdot30 \oplus 9 \oplus 20} & \htmlTitle{26\otimes 25}{1 \oplus 17 \oplus 2\cdot22 \oplus 16 \oplus 28 \oplus 2\cdot34 \oplus 27 \oplus 33} & \htmlTitle{26\otimes 26}{4 \oplus 11 \oplus 2\cdot25 \oplus 2\cdot32 \oplus 13 \oplus 18 \oplus 35 \oplus 30} & & & & & & & & & & \\ \htmlTitle{27\otimes 1}{27} & \htmlTitle{27\otimes 2}{30} & \htmlTitle{27\otimes 3}{26} & \htmlTitle{27\otimes 4}{18 \oplus 35 \oplus 23} & \htmlTitle{27\otimes 5}{31 \oplus 12 \oplus 29} & \htmlTitle{27\otimes 6}{28 \oplus 15 \oplus 33} & \htmlTitle{27\otimes 7}{17 \oplus 22 \oplus 34} & \htmlTitle{27\otimes 8}{36 \oplus 24 \oplus 21} & \htmlTitle{27\otimes 9}{11 \oplus 25 \oplus 32} & \htmlTitle{27\otimes 10}{31 \oplus 36 \oplus 12 \oplus 29 \oplus 8} & \htmlTitle{27\otimes 11}{25 \oplus 18 \oplus 35 \oplus 23 \oplus 20} & \htmlTitle{27\otimes 12}{19 \oplus 36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{27\otimes 13}{4 \oplus 11 \oplus 25 \oplus 32 \oplus 35} & \htmlTitle{27\otimes 14}{28 \oplus 7 \oplus 34 \oplus 15 \oplus 33} & \htmlTitle{27\otimes 15}{17 \oplus 22 \oplus 16 \oplus 28 \oplus 34} & \htmlTitle{27\otimes 16}{28 \oplus 34 \oplus 27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{27\otimes 17}{22 \oplus 16 \oplus 34 \oplus 27 \oplus 33 \oplus 14} & \htmlTitle{27\otimes 18}{32 \oplus 13 \oplus 35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{27\otimes 19}{5 \oplus 10 \oplus 26 \oplus 31 \oplus 36 \oplus 29} & \htmlTitle{27\otimes 20}{25 \oplus 32 \oplus 13 \oplus 35 \oplus 30 \oplus 9} & \htmlTitle{27\otimes 21}{10 \oplus 26 \oplus 19 \oplus 31 \oplus 36 \oplus 24} & \htmlTitle{27\otimes 22}{16 \oplus 34 \oplus 2\cdot27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{27\otimes 23}{32 \oplus 13 \oplus 35 \oplus 2\cdot30 \oplus 9 \oplus 20} & \htmlTitle{27\otimes 24}{5 \oplus 10 \oplus 2\cdot26 \oplus 19 \oplus 31 \oplus 36} & \htmlTitle{27\otimes 25}{25 \oplus 32 \oplus 18 \oplus 2\cdot35 \oplus 30 \oplus 2\cdot23 \oplus 20 \oplus 2} & \htmlTitle{27\otimes 26}{10 \oplus 26 \oplus 2\cdot31 \oplus 36 \oplus 12 \oplus 2\cdot29 \oplus 21 \oplus 8} & \htmlTitle{27\otimes 27}{17 \oplus 2\cdot28 \oplus 7 \oplus 34 \oplus 27 \oplus 15 \oplus 2\cdot33 \oplus 14} & & & & & & & & & \\ \htmlTitle{28\otimes 1}{28} & \htmlTitle{28\otimes 2}{25} & \htmlTitle{28\otimes 3}{29} & \htmlTitle{28\otimes 4}{32 \oplus 13 \oplus 30} & \htmlTitle{28\otimes 5}{19 \oplus 36 \oplus 24} & \htmlTitle{28\otimes 6}{22 \oplus 16 \oplus 34} & \htmlTitle{28\otimes 7}{27 \oplus 33 \oplus 14} & \htmlTitle{28\otimes 8}{10 \oplus 26 \oplus 31} & \htmlTitle{28\otimes 9}{35 \oplus 23 \oplus 20} & \htmlTitle{28\otimes 10}{26 \oplus 19 \oplus 36 \oplus 24 \oplus 21} & \htmlTitle{28\otimes 11}{32 \oplus 13 \oplus 35 \oplus 30 \oplus 9} & \htmlTitle{28\otimes 12}{5 \oplus 10 \oplus 26 \oplus 31 \oplus 36} & \htmlTitle{28\otimes 13}{18 \oplus 35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{28\otimes 14}{17 \oplus 22 \oplus 16 \oplus 34 \oplus 27} & \htmlTitle{28\otimes 15}{34 \oplus 27 \oplus 33 \oplus 6 \oplus 14} & \htmlTitle{28\otimes 16}{17 \oplus 22 \oplus 28 \oplus 34 \oplus 15 \oplus 33} & \htmlTitle{28\otimes 17}{28 \oplus 7 \oplus 34 \oplus 27 \oplus 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\oplus 2\cdot29 \oplus 21 \oplus 8} & \\ \htmlTitle{36\otimes 1}{36} & \htmlTitle{36\otimes 2}{34} & \htmlTitle{36\otimes 3}{35} & \htmlTitle{36\otimes 4}{28 \oplus 34 \oplus 33} & \htmlTitle{36\otimes 5}{32 \oplus 35 \oplus 30} & \htmlTitle{36\otimes 6}{26 \oplus 31 \oplus 36} & \htmlTitle{36\otimes 7}{31 \oplus 36 \oplus 29} & \htmlTitle{36\otimes 8}{25 \oplus 32 \oplus 35} & \htmlTitle{36\otimes 9}{34 \oplus 27 \oplus 33} & \htmlTitle{36\otimes 10}{25 \oplus 32 \oplus 13 \oplus 35 \oplus 30 \oplus 20} & \htmlTitle{36\otimes 11}{17 \oplus 28 \oplus 34 \oplus 27 \oplus 15 \oplus 33} & \htmlTitle{36\otimes 12}{11 \oplus 25 \oplus 32 \oplus 18 \oplus 35 \oplus 30} & \htmlTitle{36\otimes 13}{16 \oplus 28 \oplus 34 \oplus 27 \oplus 33 \oplus 14} & \htmlTitle{36\otimes 14}{10 \oplus 26 \oplus 19 \oplus 31 \oplus 36 \oplus 29} & \htmlTitle{36\otimes 15}{26 \oplus 31 \oplus 36 \oplus 12 \oplus 29 \oplus 21} & \htmlTitle{36\otimes 16}{10 \oplus 26 \oplus 19 \oplus 31 \oplus 36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{36\otimes 17}{26 \oplus 19 \oplus 31 \oplus 36 \oplus 24 \oplus 12 \oplus 29 \oplus 21} & \htmlTitle{36\otimes 18}{17 \oplus 22 \oplus 16 \oplus 28 \oplus 34 \oplus 27 \oplus 15 \oplus 33} & \htmlTitle{36\otimes 19}{25 \oplus 32 \oplus 13 \oplus 18 \oplus 35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{36\otimes 20}{17 \oplus 22 \oplus 16 \oplus 28 \oplus 34 \oplus 27 \oplus 33 \oplus 14} & \htmlTitle{36\otimes 21}{11 \oplus 25 \oplus 32 \oplus 18 \oplus 35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{36\otimes 22}{26 \oplus 19 \oplus 31 \oplus 2\cdot36 \oplus 24 \oplus 29 \oplus 21} & \htmlTitle{36\otimes 23}{17 \oplus 22 \oplus 16 \oplus 28 \oplus 2\cdot34 \oplus 27 \oplus 33} & \htmlTitle{36\otimes 24}{25 \oplus 32 \oplus 18 \oplus 2\cdot35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{36\otimes 25}{17 \oplus 22 \oplus 16 \oplus 2\cdot28 \oplus 7 \oplus 2\cdot34 \oplus 27 \oplus 15 \oplus 2\cdot33 \oplus 14} & \htmlTitle{36\otimes 26}{11 \oplus 25 \oplus 2\cdot32 \oplus 13 \oplus 18 \oplus 2\cdot35 \oplus 2\cdot30 \oplus 9 \oplus 23 \oplus 20} & \htmlTitle{36\otimes 27}{5 \oplus 10 \oplus 2\cdot26 \oplus 19 \oplus 2\cdot31 \oplus 2\cdot36 \oplus 24 \oplus 12 \oplus 29 \oplus 21} & \htmlTitle{36\otimes 28}{10 \oplus 26 \oplus 19 \oplus 2\cdot31 \oplus 2\cdot36 \oplus 24 \oplus 12 \oplus 2\cdot29 \oplus 21 \oplus 8} & \htmlTitle{36\otimes 29}{4 \oplus 11 \oplus 2\cdot25 \oplus 2\cdot32 \oplus 13 \oplus 18 \oplus 2\cdot35 \oplus 30 \oplus 23 \oplus 20} & \htmlTitle{36\otimes 30}{17 \oplus 22 \oplus 16 \oplus 28 \oplus 2\cdot34 \oplus 2\cdot27 \oplus 15 \oplus 2\cdot33 \oplus 6 \oplus 14} & \htmlTitle{36\otimes 31}{4 \oplus 11 \oplus 2\cdot25 \oplus 2\cdot32 \oplus 13 \oplus 18 \oplus 2\cdot35 \oplus 2\cdot30 \oplus 9 \oplus 23 \oplus 20} & \htmlTitle{36\otimes 32}{17 \oplus 22 \oplus 16 \oplus 2\cdot28 \oplus 7 \oplus 2\cdot34 \oplus 2\cdot27 \oplus 15 \oplus 2\cdot33 \oplus 6 \oplus 14} & \htmlTitle{36\otimes 33}{5 \oplus 10 \oplus 2\cdot26 \oplus 19 \oplus 2\cdot31 \oplus 2\cdot36 \oplus 24 \oplus 12 \oplus 2\cdot29 \oplus 21 \oplus 8} & \htmlTitle{36\otimes 34}{5 \oplus 10 \oplus 2\cdot26 \oplus 19 \oplus 2\cdot31 \oplus 3\cdot36 \oplus 2\cdot24 \oplus 3 \oplus 12 \oplus 2\cdot29 \oplus 21 \oplus 8} & \htmlTitle{36\otimes 35}{1 \oplus 17 \oplus 2\cdot22 \oplus 16 \oplus 2\cdot28 \oplus 7 \oplus 3\cdot34 \oplus 2\cdot27 \oplus 15 \oplus 2\cdot33 \oplus 6 \oplus 14} & \htmlTitle{36\otimes 36}{4 \oplus 11 \oplus 2\cdot25 \oplus 2\cdot32 \oplus 13 \oplus 18 \oplus 3\cdot35 \oplus 2\cdot30 \oplus 9 \oplus 2\cdot23 \oplus 20 \oplus 2} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.000\) | \( 1 \) |
| \( 4\) | \(2.618\) | \( \frac{\sqrt{5}}{2} + \frac{3}{2} \) |
| \( 5\) | \(2.618\) | \( \frac{\sqrt{5}}{2} + \frac{3}{2} \) |
| \( 6\) | \(2.618\) | \( \frac{\sqrt{5}}{2} + \frac{3}{2} \) |
| \( 7\) | \(2.618\) | \( \frac{\sqrt{5}}{2} + \frac{3}{2} \) |
| \( 8\) | \(2.618\) | \( \frac{\sqrt{5}}{2} + \frac{3}{2} \) |
| \( 9\) | \(2.618\) | \( \frac{\sqrt{5}}{2} + \frac{3}{2} \) |
| \( 10\) | \(4.236\) | \( 2 + \sqrt{5} \) |
| \( 11\) | \(4.236\) | \( 2 + \sqrt{5} \) |
| \( 12\) | \(4.236\) | \( 2 + \sqrt{5} \) |
| \( 13\) | \(4.236\) | \( 2 + \sqrt{5} \) |
| \( 14\) | \(4.236\) | \( 2 + \sqrt{5} \) |
| \( 15\) | \(4.236\) | \( 2 + \sqrt{5} \) |
| \( 16\) | \(5.236\) | \( \sqrt{5} + 3 \) |
| \( 17\) | \(5.236\) | \( \sqrt{5} + 3 \) |
| \( 18\) | \(5.236\) | \( \sqrt{5} + 3 \) |
| \( 19\) | \(5.236\) | \( \sqrt{5} + 3 \) |
| \( 20\) | \(5.236\) | \( \sqrt{5} + 3 \) |
| \( 21\) | \(5.236\) | \( \sqrt{5} + 3 \) |
| \( 22\) | \(5.854\) | \( \frac{5}{2} + \frac{3 \sqrt{5}}{2} \) |
| \( 23\) | \(5.854\) | \( \frac{5}{2} + \frac{3 \sqrt{5}}{2} \) |
| \( 24\) | \(5.854\) | \( \frac{5}{2} + \frac{3 \sqrt{5}}{2} \) |
| \( 25\) | \(8.472\) | \( 4 + 2 \sqrt{5} \) |
| \( 26\) | \(8.472\) | \( 4 + 2 \sqrt{5} \) |
| \( 27\) | \(8.472\) | \( 4 + 2 \sqrt{5} \) |
| \( 28\) | \(8.472\) | \( 4 + 2 \sqrt{5} \) |
| \( 29\) | \(8.472\) | \( 4 + 2 \sqrt{5} \) |
| \( 30\) | \(8.472\) | \( 4 + 2 \sqrt{5} \) |
| \( 31\) | \(9.472\) | \( 2 \sqrt{5} + 5 \) |
| \( 32\) | \(9.472\) | \( 2 \sqrt{5} + 5 \) |
| \( 33\) | \(9.472\) | \( 2 \sqrt{5} + 5 \) |
| \( 34\) | \(11.090\) | \( \frac{11}{2} + \frac{5 \sqrt{5}}{2} \) |
| \( 35\) | \(11.090\) | \( \frac{11}{2} + \frac{5 \sqrt{5}}{2} \) |
| \( 36\) | \(11.090\) | \( \frac{11}{2} + \frac{5 \sqrt{5}}{2} \) |
| \( D^2\) | 1487.902 | \(330 \sqrt{5} + 750\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{\frac{2}{3}} & \htmlTitle{\theta_{3}}{\frac{2}{3}} & \htmlTitle{\theta_{4}}{\frac{4}{15}} & \htmlTitle{\theta_{5}}{\frac{4}{15}} & \htmlTitle{\theta_{6}}{\frac{8}{5}} & \htmlTitle{\theta_{7}}{\frac{8}{5}} & \htmlTitle{\theta_{8}}{\frac{4}{15}} & \htmlTitle{\theta_{9}}{\frac{4}{15}} & \htmlTitle{\theta_{10}}{\frac{2}{3}} & \htmlTitle{\theta_{11}}{\frac{2}{3}} & \htmlTitle{\theta_{12}}{\frac{2}{3}} & \htmlTitle{\theta_{13}}{\frac{2}{3}} & \htmlTitle{\theta_{14}}{0} & \htmlTitle{\theta_{15}}{0} & \htmlTitle{\theta_{16}}{\frac{6}{5}} & \htmlTitle{\theta_{17}}{\frac{6}{5}} & \htmlTitle{\theta_{18}}{\frac{28}{15}} & \htmlTitle{\theta_{19}}{\frac{28}{15}} & \htmlTitle{\theta_{20}}{\frac{28}{15}} & \htmlTitle{\theta_{21}}{\frac{28}{15}} & \htmlTitle{\theta_{22}}{\frac{3}{5}} & \htmlTitle{\theta_{23}}{\frac{19}{15}} & \htmlTitle{\theta_{24}}{\frac{19}{15}} & \htmlTitle{\theta_{25}}{\frac{16}{15}} & \htmlTitle{\theta_{26}}{\frac{16}{15}} & \htmlTitle{\theta_{27}}{\frac{2}{5}} & \htmlTitle{\theta_{28}}{\frac{2}{5}} & \htmlTitle{\theta_{29}}{\frac{16}{15}} & \htmlTitle{\theta_{30}}{\frac{16}{15}} & \htmlTitle{\theta_{31}}{\frac{5}{3}} & \htmlTitle{\theta_{32}}{\frac{5}{3}} & \htmlTitle{\theta_{33}}{1} & \htmlTitle{\theta_{34}}{\frac{8}{5}} & \htmlTitle{\theta_{35}}{\frac{4}{15}} & \htmlTitle{\theta_{36}}{\frac{4}{15}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{llllllllllllllllllllllllllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{\zeta_{120}^{20} - 1} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{1} & \htmlTitle{S_{3; 2}}{-\zeta_{120}^{20}} & \htmlTitle{S_{3; 3}}{\zeta_{120}^{20} - 1} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{4; 2}}{2 \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{4; 3}}{\zeta_{120}^{28} - 2 \zeta_{120}^{20} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} + \zeta_{120}^{4} + 1} & \htmlTitle{S_{4; 4}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} + 4 \zeta_{120}^{4} + 3} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{5; 2}}{\zeta_{120}^{28} - 2 \zeta_{120}^{20} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} + \zeta_{120}^{4} + 1} & \htmlTitle{S_{5; 3}}{2 \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{5; 4}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 4 \zeta_{120}^{8} + 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{5; 5}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} + 4 \zeta_{120}^{4} + 3} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{6; 2}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{6; 3}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{6; 4}}{4 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 1} & \htmlTitle{S_{6; 5}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{8} - 3} & \htmlTitle{S_{6; 6}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{8} - 3} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{7; 1}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{7; 2}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{7; 3}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{7; 4}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{8} - 3} & \htmlTitle{S_{7; 5}}{4 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 1} & \htmlTitle{S_{7; 6}}{4 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 1} & \htmlTitle{S_{7; 7}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{8} - 3} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{8; 1}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{8; 2}}{\zeta_{120}^{28} - 2 \zeta_{120}^{20} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} + \zeta_{120}^{4} + 1} & \htmlTitle{S_{8; 3}}{2 \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{8; 4}}{4 \zeta_{120}^{24} + 3 \zeta_{120}^{20} - 2 \zeta_{120}^{8} - 4 \zeta_{120}^{4}} & \htmlTitle{S_{8; 5}}{-2 \zeta_{120}^{28} - \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} + 1} & \htmlTitle{S_{8; 6}}{4 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 1} & \htmlTitle{S_{8; 7}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{8} - 3} & \htmlTitle{S_{8; 8}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} + 4 \zeta_{120}^{4} + 3} & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{9; 1}}{-\zeta_{120}^{28} + \zeta_{120}^{12} + \zeta_{120}^{8} + 1} & \htmlTitle{S_{9; 2}}{2 \zeta_{120}^{20} + \zeta_{120}^{16} - \zeta_{120}^{4} - 2} & \htmlTitle{S_{9; 3}}{\zeta_{120}^{28} - 2 \zeta_{120}^{20} - \zeta_{120}^{16} - \zeta_{120}^{12} - \zeta_{120}^{8} + \zeta_{120}^{4} + 1} & \htmlTitle{S_{9; 4}}{-2 \zeta_{120}^{28} - \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} + 1} & \htmlTitle{S_{9; 5}}{4 \zeta_{120}^{24} + 3 \zeta_{120}^{20} - 2 \zeta_{120}^{8} - 4 \zeta_{120}^{4}} & \htmlTitle{S_{9; 6}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{8} - 3} & \htmlTitle{S_{9; 7}}{4 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 1} & \htmlTitle{S_{9; 8}}{-2 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 4 \zeta_{120}^{8} + 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{9; 9}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} + 4 \zeta_{120}^{4} + 3} & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{10; 1}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{10; 2}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{10; 3}}{3 \zeta_{120}^{20} + 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} - 3} & \htmlTitle{S_{10; 4}}{-3 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{20} + 3 \zeta_{120}^{16} + 3 \zeta_{120}^{12} + 5 \zeta_{120}^{8} + \zeta_{120}^{4} - 3} & \htmlTitle{S_{10; 5}}{2 \zeta_{120}^{28} - 4 \zeta_{120}^{20} - \zeta_{120}^{16} + 5 \zeta_{120}^{4} + 4} & \htmlTitle{S_{10; 6}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{10; 7}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{10; 8}}{-2 \zeta_{120}^{28} - 2 \zeta_{120}^{20} - 3 \zeta_{120}^{16} - \zeta_{120}^{4} + 2} & \htmlTitle{S_{10; 9}}{-\zeta_{120}^{28} + 4 \zeta_{120}^{24} + 4 \zeta_{120}^{20} + \zeta_{120}^{16} + \zeta_{120}^{12} - \zeta_{120}^{8} - 5 \zeta_{120}^{4} - 1} & \htmlTitle{S_{10; 10}}{2 \zeta_{120}^{28} + \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{4} - 1} & & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{11; 1}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{11; 2}}{3 \zeta_{120}^{20} + 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} - 3} & \htmlTitle{S_{11; 3}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{11; 4}}{2 \zeta_{120}^{28} - 4 \zeta_{120}^{20} - \zeta_{120}^{16} + 5 \zeta_{120}^{4} + 4} & \htmlTitle{S_{11; 5}}{-3 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{20} + 3 \zeta_{120}^{16} + 3 \zeta_{120}^{12} + 5 \zeta_{120}^{8} + \zeta_{120}^{4} - 3} & \htmlTitle{S_{11; 6}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{11; 7}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{11; 8}}{-\zeta_{120}^{28} + 4 \zeta_{120}^{24} + 4 \zeta_{120}^{20} + \zeta_{120}^{16} + \zeta_{120}^{12} - \zeta_{120}^{8} - 5 \zeta_{120}^{4} - 1} & \htmlTitle{S_{11; 9}}{-2 \zeta_{120}^{28} - 2 \zeta_{120}^{20} - 3 \zeta_{120}^{16} - \zeta_{120}^{4} + 2} & \htmlTitle{S_{11; 10}}{-4 \zeta_{120}^{24} - 3 \zeta_{120}^{20} + 2 \zeta_{120}^{8} + 4 \zeta_{120}^{4}} & \htmlTitle{S_{11; 11}}{2 \zeta_{120}^{28} + \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{4} - 1} & & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{12; 1}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{12; 2}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{12; 3}}{3 \zeta_{120}^{20} + 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} - 3} & \htmlTitle{S_{12; 4}}{-\zeta_{120}^{28} + 4 \zeta_{120}^{24} + 4 \zeta_{120}^{20} + \zeta_{120}^{16} + \zeta_{120}^{12} - \zeta_{120}^{8} - 5 \zeta_{120}^{4} - 1} & \htmlTitle{S_{12; 5}}{-2 \zeta_{120}^{28} - 2 \zeta_{120}^{20} - 3 \zeta_{120}^{16} - \zeta_{120}^{4} + 2} & \htmlTitle{S_{12; 6}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{12; 7}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{12; 8}}{2 \zeta_{120}^{28} - 4 \zeta_{120}^{20} - \zeta_{120}^{16} + 5 \zeta_{120}^{4} + 4} & \htmlTitle{S_{12; 9}}{-3 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{20} + 3 \zeta_{120}^{16} + 3 \zeta_{120}^{12} + 5 \zeta_{120}^{8} + \zeta_{120}^{4} - 3} & \htmlTitle{S_{12; 10}}{-2 \zeta_{120}^{28} + 3 \zeta_{120}^{20} - 4 \zeta_{120}^{4} - 3} & \htmlTitle{S_{12; 11}}{2 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} - 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{12; 12}}{2 \zeta_{120}^{28} + \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{4} - 1} & & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{13; 1}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{13; 2}}{3 \zeta_{120}^{20} + 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} - 3} & \htmlTitle{S_{13; 3}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 4}}{-2 \zeta_{120}^{28} - 2 \zeta_{120}^{20} - 3 \zeta_{120}^{16} - \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 5}}{-\zeta_{120}^{28} + 4 \zeta_{120}^{24} + 4 \zeta_{120}^{20} + \zeta_{120}^{16} + \zeta_{120}^{12} - \zeta_{120}^{8} - 5 \zeta_{120}^{4} - 1} & \htmlTitle{S_{13; 6}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{13; 7}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{13; 8}}{-3 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{20} + 3 \zeta_{120}^{16} + 3 \zeta_{120}^{12} + 5 \zeta_{120}^{8} + \zeta_{120}^{4} - 3} & \htmlTitle{S_{13; 9}}{2 \zeta_{120}^{28} - 4 \zeta_{120}^{20} - \zeta_{120}^{16} + 5 \zeta_{120}^{4} + 4} & \htmlTitle{S_{13; 10}}{2 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 4 \zeta_{120}^{8} - 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{13; 11}}{-2 \zeta_{120}^{28} + 3 \zeta_{120}^{20} - 4 \zeta_{120}^{4} - 3} & \htmlTitle{S_{13; 12}}{-4 \zeta_{120}^{24} - 3 \zeta_{120}^{20} + 2 \zeta_{120}^{8} + 4 \zeta_{120}^{4}} & \htmlTitle{S_{13; 13}}{2 \zeta_{120}^{28} + \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{4} - 1} & & & & & & & & & & & & & & & & & & & & & & & \\ \htmlTitle{S_{14; 1}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{14; 2}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{14; 3}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{14; 4}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{14; 5}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{14; 6}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{14; 7}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{14; 8}}{5 \zeta_{120}^{28} + 4 \zeta_{120}^{24} - 3 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 1} & \htmlTitle{S_{14; 9}}{-\zeta_{120}^{28} - 4 \zeta_{120}^{24} - \zeta_{120}^{12} + \zeta_{120}^{8} - 3} & \htmlTitle{S_{14; 10}}{-4 \zeta_{120}^{28} - 4 \zeta_{120}^{24} + 2 \zeta_{120}^{12} + 4 \zeta_{120}^{8} - 1} & \htmlTitle{S_{14; 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11}}{-2 \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{35; 12}}{-\zeta_{120}^{28} + 2 \zeta_{120}^{20} + \zeta_{120}^{16} + \zeta_{120}^{12} + \zeta_{120}^{8} - \zeta_{120}^{4} - 1} & \htmlTitle{S_{35; 13}}{-2 \zeta_{120}^{20} - \zeta_{120}^{16} + \zeta_{120}^{4} + 2} & \htmlTitle{S_{35; 14}}{\zeta_{120}^{28} - \zeta_{120}^{12} - \zeta_{120}^{8} - 1} & \htmlTitle{S_{35; 15}}{\zeta_{120}^{28} - \zeta_{120}^{12} - \zeta_{120}^{8} - 1} & \htmlTitle{S_{35; 16}}{-4 \zeta_{120}^{28} + 4 \zeta_{120}^{12} + 4 \zeta_{120}^{8} + 2} & \htmlTitle{S_{35; 17}}{-4 \zeta_{120}^{28} + 4 \zeta_{120}^{12} + 4 \zeta_{120}^{8} + 2} & \htmlTitle{S_{35; 18}}{6 \zeta_{120}^{20} + 4 \zeta_{120}^{16} - 4 \zeta_{120}^{4} - 6} & \htmlTitle{S_{35; 19}}{4 \zeta_{120}^{28} - 6 \zeta_{120}^{20} - 4 \zeta_{120}^{16} - 4 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 4 \zeta_{120}^{4} + 4} & \htmlTitle{S_{35; 20}}{6 \zeta_{120}^{20} + 4 \zeta_{120}^{16} - 4 \zeta_{120}^{4} - 6} & \htmlTitle{S_{35; 21}}{4 \zeta_{120}^{28} - 6 \zeta_{120}^{20} - 4 \zeta_{120}^{16} - 4 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 4 \zeta_{120}^{4} + 4} & \htmlTitle{S_{35; 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31}}{3 \zeta_{120}^{28} - 4 \zeta_{120}^{20} - 3 \zeta_{120}^{16} - 3 \zeta_{120}^{12} - 3 \zeta_{120}^{8} + 3 \zeta_{120}^{4} + 3} & \htmlTitle{S_{35; 32}}{4 \zeta_{120}^{20} + 3 \zeta_{120}^{16} - 3 \zeta_{120}^{4} - 4} & \htmlTitle{S_{35; 33}}{-3 \zeta_{120}^{28} + 3 \zeta_{120}^{12} + 3 \zeta_{120}^{8} + 1} & \htmlTitle{S_{35; 34}}{-1} & \htmlTitle{S_{35; 35}}{-\zeta_{120}^{20} + 1} & \\ \htmlTitle{S_{36; 1}}{-5 \zeta_{120}^{28} + 5 \zeta_{120}^{12} + 5 \zeta_{120}^{8} + 3} & \htmlTitle{S_{36; 2}}{5 \zeta_{120}^{28} - 8 \zeta_{120}^{20} - 5 \zeta_{120}^{16} - 5 \zeta_{120}^{12} - 5 \zeta_{120}^{8} + 5 \zeta_{120}^{4} + 5} & \htmlTitle{S_{36; 3}}{8 \zeta_{120}^{20} + 5 \zeta_{120}^{16} - 5 \zeta_{120}^{4} - 8} & \htmlTitle{S_{36; 4}}{2 \zeta_{120}^{28} - 3 \zeta_{120}^{20} - 2 \zeta_{120}^{16} - 2 \zeta_{120}^{12} - 2 \zeta_{120}^{8} + 2 \zeta_{120}^{4} + 2} & \htmlTitle{S_{36; 5}}{3 \zeta_{120}^{20} + 2 \zeta_{120}^{16} - 2 \zeta_{120}^{4} - 3} & \htmlTitle{S_{36; 6}}{-2 \zeta_{120}^{28} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} + 1} & \htmlTitle{S_{36; 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17}}{-4 \zeta_{120}^{28} + 4 \zeta_{120}^{12} + 4 \zeta_{120}^{8} + 2} & \htmlTitle{S_{36; 18}}{4 \zeta_{120}^{28} - 6 \zeta_{120}^{20} - 4 \zeta_{120}^{16} - 4 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 4 \zeta_{120}^{4} + 4} & \htmlTitle{S_{36; 19}}{6 \zeta_{120}^{20} + 4 \zeta_{120}^{16} - 4 \zeta_{120}^{4} - 6} & \htmlTitle{S_{36; 20}}{4 \zeta_{120}^{28} - 6 \zeta_{120}^{20} - 4 \zeta_{120}^{16} - 4 \zeta_{120}^{12} - 4 \zeta_{120}^{8} + 4 \zeta_{120}^{4} + 4} & \htmlTitle{S_{36; 21}}{6 \zeta_{120}^{20} + 4 \zeta_{120}^{16} - 4 \zeta_{120}^{4} - 6} & \htmlTitle{S_{36; 22}}{4 \zeta_{120}^{28} - 4 \zeta_{120}^{12} - 4 \zeta_{120}^{8} - 3} & \htmlTitle{S_{36; 23}}{-4 \zeta_{120}^{28} + 7 \zeta_{120}^{20} + 4 \zeta_{120}^{16} + 4 \zeta_{120}^{12} + 4 \zeta_{120}^{8} - 4 \zeta_{120}^{4} - 4} & \htmlTitle{S_{36; 24}}{-7 \zeta_{120}^{20} - 4 \zeta_{120}^{16} + 4 \zeta_{120}^{4} + 7} & \htmlTitle{S_{36; 25}}{-2 \zeta_{120}^{28} + 4 \zeta_{120}^{20} + 2 \zeta_{120}^{16} + 2 \zeta_{120}^{12} + 2 \zeta_{120}^{8} - 2 \zeta_{120}^{4} - 2} & \htmlTitle{S_{36; 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Central Charge
\[c = \frac{28}{5} \]