SU(2) 12 | VerlindeDB

\(\operatorname{SU}(2)_{12}\): \( A_{1} \) at level \(12\)

Fusion Ring

\[ \begin{array}{lllllllllllll} \htmlTitle{1\otimes 1}{1} & & & & & & & & & & & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{1} & & & & & & & & & & & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{4} & \htmlTitle{3\otimes 3}{1 \oplus 5} & & & & & & & & & & \\ \htmlTitle{4\otimes 1}{4} & \htmlTitle{4\otimes 2}{3} & \htmlTitle{4\otimes 3}{6 \oplus 2} & \htmlTitle{4\otimes 4}{1 \oplus 5} & & & & & & & & & \\ \htmlTitle{5\otimes 1}{5} & \htmlTitle{5\otimes 2}{6} & \htmlTitle{5\otimes 3}{3 \oplus 7} & \htmlTitle{5\otimes 4}{8 \oplus 4} & \htmlTitle{5\otimes 5}{1 \oplus 5 \oplus 9} & & & & & & & & \\ \htmlTitle{6\otimes 1}{6} & \htmlTitle{6\otimes 2}{5} & \htmlTitle{6\otimes 3}{8 \oplus 4} & \htmlTitle{6\otimes 4}{3 \oplus 7} & \htmlTitle{6\otimes 5}{10 \oplus 6 \oplus 2} & \htmlTitle{6\otimes 6}{1 \oplus 5 \oplus 9} & & & & & & & \\ \htmlTitle{7\otimes 1}{7} & \htmlTitle{7\otimes 2}{8} & \htmlTitle{7\otimes 3}{5 \oplus 9} & \htmlTitle{7\otimes 4}{10 \oplus 6} & \htmlTitle{7\otimes 5}{3 \oplus 7 \oplus 11} & \htmlTitle{7\otimes 6}{12 \oplus 8 \oplus 4} & \htmlTitle{7\otimes 7}{1 \oplus 5 \oplus 9 \oplus 13} & & & & & & \\ \htmlTitle{8\otimes 1}{8} & \htmlTitle{8\otimes 2}{7} & \htmlTitle{8\otimes 3}{10 \oplus 6} & \htmlTitle{8\otimes 4}{5 \oplus 9} & \htmlTitle{8\otimes 5}{12 \oplus 8 \oplus 4} & \htmlTitle{8\otimes 6}{3 \oplus 7 \oplus 11} & \htmlTitle{8\otimes 7}{13 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{8\otimes 8}{1 \oplus 5 \oplus 9 \oplus 13} & & & & & \\ \htmlTitle{9\otimes 1}{9} & \htmlTitle{9\otimes 2}{10} & \htmlTitle{9\otimes 3}{7 \oplus 11} & \htmlTitle{9\otimes 4}{12 \oplus 8} & \htmlTitle{9\otimes 5}{5 \oplus 9 \oplus 13} & \htmlTitle{9\otimes 6}{13 \oplus 10 \oplus 6} & \htmlTitle{9\otimes 7}{3 \oplus 7 \oplus 11 \oplus 12} & \htmlTitle{9\otimes 8}{11 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{9\otimes 9}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 10} & & & & \\ \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}{13 \oplus 10 \oplus 6} & \htmlTitle{10\otimes 6}{5 \oplus 9 \oplus 13} & \htmlTitle{10\otimes 7}{11 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{10\otimes 8}{3 \oplus 7 \oplus 11 \oplus 12} & \htmlTitle{10\otimes 9}{9 \oplus 13 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{10\otimes 10}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 10} & & & \\ \htmlTitle{11\otimes 1}{11} & \htmlTitle{11\otimes 2}{12} & \htmlTitle{11\otimes 3}{9 \oplus 13} & \htmlTitle{11\otimes 4}{13 \oplus 10} & \htmlTitle{11\otimes 5}{7 \oplus 11 \oplus 12} & \htmlTitle{11\otimes 6}{11 \oplus 12 \oplus 8} & \htmlTitle{11\otimes 7}{5 \oplus 9 \oplus 13 \oplus 10} & \htmlTitle{11\otimes 8}{9 \oplus 13 \oplus 10 \oplus 6} & \htmlTitle{11\otimes 9}{3 \oplus 7 \oplus 11 \oplus 12 \oplus 8} & \htmlTitle{11\otimes 10}{7 \oplus 11 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{11\otimes 11}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 10 \oplus 6} & & \\ \htmlTitle{12\otimes 1}{12} & \htmlTitle{12\otimes 2}{11} & \htmlTitle{12\otimes 3}{13 \oplus 10} & \htmlTitle{12\otimes 4}{9 \oplus 13} & \htmlTitle{12\otimes 5}{11 \oplus 12 \oplus 8} & \htmlTitle{12\otimes 6}{7 \oplus 11 \oplus 12} & \htmlTitle{12\otimes 7}{9 \oplus 13 \oplus 10 \oplus 6} & \htmlTitle{12\otimes 8}{5 \oplus 9 \oplus 13 \oplus 10} & \htmlTitle{12\otimes 9}{7 \oplus 11 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{12\otimes 10}{3 \oplus 7 \oplus 11 \oplus 12 \oplus 8} & \htmlTitle{12\otimes 11}{5 \oplus 9 \oplus 13 \oplus 10 \oplus 6 \oplus 2} & \htmlTitle{12\otimes 12}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 10 \oplus 6} & \\ \htmlTitle{13\otimes 1}{13} & \htmlTitle{13\otimes 2}{13} & \htmlTitle{13\otimes 3}{11 \oplus 12} & \htmlTitle{13\otimes 4}{11 \oplus 12} & \htmlTitle{13\otimes 5}{9 \oplus 13 \oplus 10} & \htmlTitle{13\otimes 6}{9 \oplus 13 \oplus 10} & \htmlTitle{13\otimes 7}{7 \oplus 11 \oplus 12 \oplus 8} & \htmlTitle{13\otimes 8}{7 \oplus 11 \oplus 12 \oplus 8} & \htmlTitle{13\otimes 9}{5 \oplus 9 \oplus 13 \oplus 10 \oplus 6} & \htmlTitle{13\otimes 10}{5 \oplus 9 \oplus 13 \oplus 10 \oplus 6} & \htmlTitle{13\otimes 11}{3 \oplus 7 \oplus 11 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{13\otimes 12}{3 \oplus 7 \oplus 11 \oplus 12 \oplus 8 \oplus 4} & \htmlTitle{13\otimes 13}{1 \oplus 5 \oplus 9 \oplus 13 \oplus 10 \oplus 6 \oplus 2} \\ \end{array} \]

Frobenius-Perron Dimensions

SimpleNumericSymbolic
\( 1\)\(1.000\)\( 1 \)
\( 2\)\(1.000\)\( 1 \)
\( 3\)\(1.950\)\( 2 \cos{\left(\frac{\pi}{14} \right)} \)
\( 4\)\(1.950\)\( 2 \cos{\left(\frac{\pi}{14} \right)} \)
\( 5\)\(2.802\)\( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 \cos{\left(\frac{2 \pi}{7} \right)} + 2 \)
\( 6\)\(2.802\)\( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 \cos{\left(\frac{2 \pi}{7} \right)} + 2 \)
\( 7\)\(3.514\)\( 2 \cos{\left(\frac{3 \pi}{14} \right)} + 2 \cos{\left(\frac{\pi}{14} \right)} \)
\( 8\)\(3.514\)\( 2 \cos{\left(\frac{3 \pi}{14} \right)} + 2 \cos{\left(\frac{\pi}{14} \right)} \)
\( 9\)\(4.049\)\( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \)
\( 10\)\(4.049\)\( - 2 \cos{\left(\frac{3 \pi}{7} \right)} + 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \)
\( 11\)\(4.381\)\( 2 \cos{\left(\frac{5 \pi}{14} \right)} + 2 \cos{\left(\frac{3 \pi}{14} \right)} + 2 \cos{\left(\frac{\pi}{14} \right)} \)
\( 12\)\(4.381\)\( 2 \cos{\left(\frac{5 \pi}{14} \right)} + 2 \cos{\left(\frac{3 \pi}{14} \right)} + 2 \cos{\left(\frac{\pi}{14} \right)} \)
\( 13\)\(4.494\)\( 2 + 4 \cos{\left(\frac{2 \pi}{7} \right)} \)
\( D^2\)141.370\(- 56 \cos{\left(\frac{3 \pi}{7} \right)} + 112 \cos{\left(\frac{2 \pi}{7} \right)} + 84\)

Modular Data

Twist Factors

\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{0} & \htmlTitle{\theta_{3}}{\frac{3}{28}} & \htmlTitle{\theta_{4}}{\frac{31}{28}} & \htmlTitle{\theta_{5}}{\frac{2}{7}} & \htmlTitle{\theta_{6}}{\frac{2}{7}} & \htmlTitle{\theta_{7}}{\frac{15}{28}} & \htmlTitle{\theta_{8}}{\frac{43}{28}} & \htmlTitle{\theta_{9}}{\frac{6}{7}} & \htmlTitle{\theta_{10}}{\frac{6}{7}} & \htmlTitle{\theta_{11}}{\frac{5}{4}} & \htmlTitle{\theta_{12}}{\frac{1}{4}} & \htmlTitle{\theta_{13}}{\frac{12}{7}} \end{pmatrix} \]

S Matrix

\[ \left(\begin{array}{lllllllllllll} \htmlTitle{S_{1; 1}}{1} & & & & & & & & & & & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{1} & & & & & & & & & & & \\ \htmlTitle{S_{3; 1}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{3; 2}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{3; 3}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & & & & & & & & & & \\ \htmlTitle{S_{4; 1}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{4; 2}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{4; 3}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{4; 4}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & & & & & & & & & \\ \htmlTitle{S_{5; 1}}{-\zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + \zeta_{112}^{16} + 2} & \htmlTitle{S_{5; 2}}{-\zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + \zeta_{112}^{16} + 2} & \htmlTitle{S_{5; 3}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{5; 4}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{5; 5}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & & & & & & & & \\ \htmlTitle{S_{6; 1}}{-\zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + \zeta_{112}^{16} + 2} & \htmlTitle{S_{6; 2}}{-\zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + \zeta_{112}^{16} + 2} & \htmlTitle{S_{6; 3}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{6; 4}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{6; 5}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{6; 6}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & & & & & & & \\ \htmlTitle{S_{7; 1}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{7; 2}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{7; 3}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{7; 4}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{7; 5}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{7; 6}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{7; 7}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & & & & & & \\ \htmlTitle{S_{8; 1}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 2}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 3}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 4}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 5}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 6}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 7}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{8; 8}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & & & & & \\ \htmlTitle{S_{9; 1}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{9; 2}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{9; 3}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{9; 4}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{9; 5}}{-1} & \htmlTitle{S_{9; 6}}{-1} & \htmlTitle{S_{9; 7}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{9; 8}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{9; 9}}{\zeta_{112}^{40} - \zeta_{112}^{32} + \zeta_{112}^{24} - \zeta_{112}^{16} - 2} & & & & \\ \htmlTitle{S_{10; 1}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{10; 2}}{-2 \zeta_{112}^{40} + \zeta_{112}^{32} - \zeta_{112}^{24} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{10; 3}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{10; 4}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{10; 5}}{-1} & \htmlTitle{S_{10; 6}}{-1} & \htmlTitle{S_{10; 7}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{10; 8}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{10; 9}}{\zeta_{112}^{40} - \zeta_{112}^{32} + \zeta_{112}^{24} - \zeta_{112}^{16} - 2} & \htmlTitle{S_{10; 10}}{\zeta_{112}^{40} - \zeta_{112}^{32} + \zeta_{112}^{24} - \zeta_{112}^{16} - 2} & & & \\ \htmlTitle{S_{11; 1}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 2}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 3}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 4}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 5}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 6}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 7}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 8}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 9}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 10}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{11; 11}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & & \\ \htmlTitle{S_{12; 1}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 2}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 3}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 4}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 5}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 6}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 7}}{-2 \zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 8}}{2 \zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 9}}{-\zeta_{112}^{44} + \zeta_{112}^{36} - \zeta_{112}^{28} + \zeta_{112}^{20} - \zeta_{112}^{12} + 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 10}}{\zeta_{112}^{44} - \zeta_{112}^{36} + \zeta_{112}^{28} - \zeta_{112}^{20} + \zeta_{112}^{12} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 11}}{2 \zeta_{112}^{44} + \zeta_{112}^{28} - 2 \zeta_{112}^{20} - 2 \zeta_{112}^{4}} & \htmlTitle{S_{12; 12}}{-2 \zeta_{112}^{44} - \zeta_{112}^{28} + 2 \zeta_{112}^{20} + 2 \zeta_{112}^{4}} & \\ \htmlTitle{S_{13; 1}}{-2 \zeta_{112}^{40} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{13; 2}}{-2 \zeta_{112}^{40} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{13; 3}}{0} & \htmlTitle{S_{13; 4}}{0} & \htmlTitle{S_{13; 5}}{2 \zeta_{112}^{40} - 2 \zeta_{112}^{16} - 2} & \htmlTitle{S_{13; 6}}{2 \zeta_{112}^{40} - 2 \zeta_{112}^{16} - 2} & \htmlTitle{S_{13; 7}}{0} & \htmlTitle{S_{13; 8}}{0} & \htmlTitle{S_{13; 9}}{-2 \zeta_{112}^{40} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{13; 10}}{-2 \zeta_{112}^{40} + 2 \zeta_{112}^{16} + 2} & \htmlTitle{S_{13; 11}}{0} & \htmlTitle{S_{13; 12}}{0} & \htmlTitle{S_{13; 13}}{2 \zeta_{112}^{40} - 2 \zeta_{112}^{16} - 2}\end{array}\right) \]

Central Charge

\[c = \frac{18}{7} \]