Fusion Ring
\[ \begin{array}{llllllllllll} \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 12} & & & & & \\ \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}{11 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{8\otimes 8}{1 \oplus 5 \oplus 9 \oplus 12} & & & & \\ \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 12} & \htmlTitle{9\otimes 6}{11 \oplus 10 \oplus 6} & \htmlTitle{9\otimes 7}{3 \oplus 7 \oplus 11 \oplus 10} & \htmlTitle{9\otimes 8}{9 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{9\otimes 9}{1 \oplus 5 \oplus 9 \oplus 12 \oplus 8} & & & \\ \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}{11 \oplus 10 \oplus 6} & \htmlTitle{10\otimes 6}{5 \oplus 9 \oplus 12} & \htmlTitle{10\otimes 7}{9 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{10\otimes 8}{3 \oplus 7 \oplus 11 \oplus 10} & \htmlTitle{10\otimes 9}{7 \oplus 11 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{10\otimes 10}{1 \oplus 5 \oplus 9 \oplus 12 \oplus 8} & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{12} & \htmlTitle{11\otimes 3}{9 \oplus 12} & \htmlTitle{11\otimes 4}{11 \oplus 10} & \htmlTitle{11\otimes 5}{7 \oplus 11 \oplus 10} & \htmlTitle{11\otimes 6}{9 \oplus 12 \oplus 8} & \htmlTitle{11\otimes 7}{5 \oplus 9 \oplus 12 \oplus 8} & \htmlTitle{11\otimes 8}{7 \oplus 11 \oplus 10 \oplus 6} & \htmlTitle{11\otimes 9}{3 \oplus 7 \oplus 11 \oplus 10 \oplus 6} & \htmlTitle{11\otimes 10}{5 \oplus 9 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{11\otimes 11}{1 \oplus 5 \oplus 9 \oplus 12 \oplus 8 \oplus 4} & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{11} & \htmlTitle{12\otimes 3}{11 \oplus 10} & \htmlTitle{12\otimes 4}{9 \oplus 12} & \htmlTitle{12\otimes 5}{9 \oplus 12 \oplus 8} & \htmlTitle{12\otimes 6}{7 \oplus 11 \oplus 10} & \htmlTitle{12\otimes 7}{7 \oplus 11 \oplus 10 \oplus 6} & \htmlTitle{12\otimes 8}{5 \oplus 9 \oplus 12 \oplus 8} & \htmlTitle{12\otimes 9}{5 \oplus 9 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{12\otimes 10}{3 \oplus 7 \oplus 11 \oplus 10 \oplus 6} & \htmlTitle{12\otimes 11}{3 \oplus 7 \oplus 11 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{12\otimes 12}{1 \oplus 5 \oplus 9 \oplus 12 \oplus 8 \oplus 4} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.942\) | \( - 2 \cos{\left(\frac{3 \pi}{13} \right)} - 2 \cos{\left(\frac{5 \pi}{13} \right)} + 2 \cos{\left(\frac{6 \pi}{13} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 4\) | \(1.942\) | \( - 2 \cos{\left(\frac{3 \pi}{13} \right)} - 2 \cos{\left(\frac{5 \pi}{13} \right)} + 2 \cos{\left(\frac{6 \pi}{13} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 5\) | \(2.771\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 6\) | \(2.771\) | \( 1 + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 7\) | \(3.439\) | \( - 2 \cos{\left(\frac{5 \pi}{13} \right)} + 2 \cos{\left(\frac{6 \pi}{13} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 8\) | \(3.439\) | \( - 2 \cos{\left(\frac{5 \pi}{13} \right)} + 2 \cos{\left(\frac{6 \pi}{13} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 9\) | \(3.907\) | \( 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 10\) | \(3.907\) | \( 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 11\) | \(4.148\) | \( 2 \cos{\left(\frac{6 \pi}{13} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( 12\) | \(4.148\) | \( 2 \cos{\left(\frac{6 \pi}{13} \right)} + 1 + 2 \cos{\left(\frac{4 \pi}{13} \right)} + 2 \cos{\left(\frac{2 \pi}{13} \right)} \) |
| \( D^2\) | 113.494 | \(- 12 \cos{\left(\frac{5 \pi}{13} \right)} - 4 \cos{\left(\frac{3 \pi}{13} \right)} + 24 \cos{\left(\frac{6 \pi}{13} \right)} + 40 \cos{\left(\frac{4 \pi}{13} \right)} + 42 + 60 \cos{\left(\frac{2 \pi}{13} \right)}\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{\frac{3}{2}} & \htmlTitle{\theta_{3}}{\frac{3}{26}} & \htmlTitle{\theta_{4}}{\frac{8}{13}} & \htmlTitle{\theta_{5}}{\frac{4}{13}} & \htmlTitle{\theta_{6}}{\frac{47}{26}} & \htmlTitle{\theta_{7}}{\frac{15}{26}} & \htmlTitle{\theta_{8}}{\frac{14}{13}} & \htmlTitle{\theta_{9}}{\frac{12}{13}} & \htmlTitle{\theta_{10}}{\frac{11}{26}} & \htmlTitle{\theta_{11}}{\frac{35}{26}} & \htmlTitle{\theta_{12}}{\frac{24}{13}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{llllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{-1} & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{3; 2}}{\zeta_{104}^{44} - \zeta_{104}^{40} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} + \zeta_{104}^{12} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{3; 3}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{4; 2}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{4; 3}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{4; 4}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{5; 2}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{5; 3}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{5; 4}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{5; 5}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{6; 2}}{\zeta_{104}^{44} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{6; 3}}{\zeta_{104}^{44} + \zeta_{104}^{36} + \zeta_{104}^{28} - \zeta_{104}^{24} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{6; 4}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{6; 5}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{6; 6}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & & & & & & \\ \htmlTitle{S_{7; 1}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{7; 2}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{7; 3}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{7; 4}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{7; 5}}{1} & \htmlTitle{S_{7; 6}}{-1} & \htmlTitle{S_{7; 7}}{\zeta_{104}^{44} - \zeta_{104}^{8} - 1} & & & & & \\ \htmlTitle{S_{8; 1}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{8; 2}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{8; 3}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{8; 4}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{8; 5}}{1} & \htmlTitle{S_{8; 6}}{1} & \htmlTitle{S_{8; 7}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{8; 8}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & & & & \\ \htmlTitle{S_{9; 1}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{9; 2}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{9; 3}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{9; 4}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{9; 5}}{\zeta_{104}^{44} - \zeta_{104}^{40} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} + \zeta_{104}^{12} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{9; 6}}{\zeta_{104}^{44} - \zeta_{104}^{40} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} + \zeta_{104}^{12} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{9; 7}}{\zeta_{104}^{44} + \zeta_{104}^{36} + \zeta_{104}^{28} - \zeta_{104}^{24} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{9; 8}}{\zeta_{104}^{44} + \zeta_{104}^{36} + \zeta_{104}^{28} - \zeta_{104}^{24} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{9; 9}}{-1} & & & \\ \htmlTitle{S_{10; 1}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{10; 2}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{10; 3}}{\zeta_{104}^{44} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{10; 4}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{10; 5}}{\zeta_{104}^{44} - \zeta_{104}^{40} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} + \zeta_{104}^{12} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{10; 6}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{10; 7}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{10; 8}}{\zeta_{104}^{44} + \zeta_{104}^{36} + \zeta_{104}^{28} - \zeta_{104}^{24} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{10; 9}}{-1} & \htmlTitle{S_{10; 10}}{1} & & \\ \htmlTitle{S_{11; 1}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{11; 2}}{\zeta_{104}^{44} + \zeta_{104}^{36} + \zeta_{104}^{28} - \zeta_{104}^{24} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{11; 3}}{1} & \htmlTitle{S_{11; 4}}{-1} & \htmlTitle{S_{11; 5}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{11; 6}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{11; 7}}{\zeta_{104}^{44} - \zeta_{104}^{40} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} + \zeta_{104}^{12} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{11; 8}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{11; 9}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{11; 10}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{32} + \zeta_{104}^{28} - \zeta_{104}^{24} + \zeta_{104}^{20} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{11; 11}}{-\zeta_{104}^{44} + \zeta_{104}^{8} + 1} & \\ \htmlTitle{S_{12; 1}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{12; 2}}{-\zeta_{104}^{44} - \zeta_{104}^{36} - \zeta_{104}^{28} + \zeta_{104}^{24} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{12; 3}}{-1} & \htmlTitle{S_{12; 4}}{-1} & \htmlTitle{S_{12; 5}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{12; 6}}{\zeta_{104}^{44} + \zeta_{104}^{36} - \zeta_{104}^{16} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{12; 7}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{12; 8}}{-\zeta_{104}^{44} + \zeta_{104}^{40} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} - \zeta_{104}^{12} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{12; 9}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{12; 10}}{-\zeta_{104}^{44} - \zeta_{104}^{36} + \zeta_{104}^{32} - \zeta_{104}^{28} + \zeta_{104}^{24} - \zeta_{104}^{20} + \zeta_{104}^{16} + \zeta_{104}^{8} + 1} & \htmlTitle{S_{12; 11}}{\zeta_{104}^{44} - \zeta_{104}^{8} - 1} & \htmlTitle{S_{12; 12}}{\zeta_{104}^{44} - \zeta_{104}^{8} - 1}\end{array}\right) \]
Central Charge
\[c = \frac{33}{13} \]