Characteristic polynomial
$$\begin{equation}\left(\lambda + 1\right)^{2} \left(\lambda + 2\right) \left(\lambda^{3} + \lambda^{2} - 18 \lambda - 43\right) \left(\lambda^{10} + 14 \lambda^{9} - 29 \lambda^{8} - 1454 \lambda^{7} - 8955 \lambda^{6} - 14714 \lambda^{5} + 67058 \lambda^{4} + 405242 \lambda^{3} + 939588 \lambda^{2} + 1626824 \lambda + 1835657\right)\notag\end{equation}$$
Minimal polynomial
$$\begin{equation}\left(\lambda + 1\right) \left(\lambda + 2\right) \left(\lambda^{3} + \lambda^{2} - 18 \lambda - 43\right) \left(\lambda^{10} + 14 \lambda^{9} - 29 \lambda^{8} - 1454 \lambda^{7} - 8955 \lambda^{6} - 14714 \lambda^{5} + 67058 \lambda^{4} + 405242 \lambda^{3} + 939588 \lambda^{2} + 1626824 \lambda + 1835657\right)\notag\end{equation}$$
Quantum multiplication matrix
$$\begin{equation}\begin{pmatrix}0 & 2 & 6 & 4 & 4 & 3 & 0 & 3 & 9 & 6 & 0 & 8 & 8 & 0 & 8 & 0 \\ 1 & -1 & 0 & 0 & 1 & 6 & 4 & 2 & 2 & 0 & 0 & 6 & 6 & 0 & 6 & 0 \\ 1 & 0 & -1 & 2 & 1 & 2 & 0 & 2 & 2 & 0 & -4 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & -2 & 0 & 0 & 2 & 0 & 2 & 6 & 8 & 3 & 3 & 0 & 9 & 8 \\ 1 & 1 & 1 & 0 & -1 & 0 & 0 & 0 & 4 & 4 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 1 & -1 & -1 & -2 & 1 & 1 & 0 & -1 & 0 & 0 & 0 & -4 & -4 & 0 \\ 0 & 1 & 0 & 2 & 1 & 1 & -2 & 0 & 1 & 1 & 0 & 2 & 6 & 8 & 6 & 6 \\ 0 & 1 & 0 & 0 & 2 & 1 & 0 & -1 & 1 & 0 & 0 & 4 & 4 & 0 & 4 & 0 \\ 0 & 0 & 1 & 1 & 2 & 1 & 1 & 0 & -1 & 1 & 0 & 0 & 0 & 0 & 4 & 0 \\ 0 & 0 & 2 & 1 & 0 & 0 & 0 & 0 & 1 & -1 & 2 & 2 & 2 & 0 & 2 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & -2 & 0 & 0 & 2 & 2 & 3 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & -2 & -1 & -1 & 1 & 0 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 2 & 1 & 0 & 0 & 1 & -1 & 1 & -2 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 0 & 1 & -2 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 3 & 2 & 0 & 1 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 3 & 2 & 4 & 0\end{pmatrix}\notag\end{equation}$$