Fusion Ring
\[ \begin{array}{lll} \htmlTitle{1\otimes 1}{1} & & \\ \htmlTitle{2\otimes 1}{2} & \htmlTitle{2\otimes 2}{1} & \\ \htmlTitle{3\otimes 1}{3} & \htmlTitle{3\otimes 2}{3} & \htmlTitle{3\otimes 3}{1 \oplus 2} \\ \end{array} \]
Frobenius-Perron Dimensions
| Simple | Numeric | Symbolic |
|---|---|---|
| \( 1\) | \(1.000\) | \( 1 \) |
| \( 2\) | \(1.000\) | \( 1 \) |
| \( 3\) | \(1.414\) | \( \sqrt{2} \) |
| \( D^2\) | 4.000 | \(4\) |
Modular Data
Twist Factors
\[ \begin{pmatrix} \htmlTitle{\theta_{1}}{0} & \htmlTitle{\theta_{2}}{1} & \htmlTitle{\theta_{3}}{\frac{9}{8}} \end{pmatrix} \]
S Matrix
\[ \left(\begin{array}{lll} \htmlTitle{S_{1; 1}}{1} & & \\ \htmlTitle{S_{2; 1}}{1} & \htmlTitle{S_{2; 2}}{1} & \\ \htmlTitle{S_{3; 1}}{-\zeta_{64}^{24} + \zeta_{64}^{8}} & \htmlTitle{S_{3; 2}}{\zeta_{64}^{24} - \zeta_{64}^{8}} & \htmlTitle{S_{3; 3}}{0}\end{array}\right) \]
Central Charge
\[c = \frac{9}{2} \]