Characteristic polynomial
$$\begin{equation}\left(\lambda + 4\right) \left(\lambda^{2} + 8 \lambda + 20\right) \left(\lambda^{4} + 9 \lambda^{3} + 22 \lambda^{2} - 24 \lambda - 91\right)^{2} \left(\lambda^{10} - 6 \lambda^{9} - 79 \lambda^{8} - 28 \lambda^{7} + 1346 \lambda^{6} + 7274 \lambda^{5} + 17964 \lambda^{4} + 29792 \lambda^{3} + 348929 \lambda^{2} + 1435008 \lambda + 1507348\right)\notag\end{equation}$$
Minimal polynomial
$$\begin{equation}\left(\lambda + 4\right) \left(\lambda^{2} + 8 \lambda + 20\right) \left(\lambda^{4} + 9 \lambda^{3} + 22 \lambda^{2} - 24 \lambda - 91\right) \left(\lambda^{10} - 6 \lambda^{9} - 79 \lambda^{8} - 28 \lambda^{7} + 1346 \lambda^{6} + 7274 \lambda^{5} + 17964 \lambda^{4} + 29792 \lambda^{3} + 348929 \lambda^{2} + 1435008 \lambda + 1507348\right)\notag\end{equation}$$
Quantum multiplication matrix
$$\begin{equation}\begin{pmatrix}0 & 4 & 4 & 0 & 2 & 6 & 6 & 0 & 3 & 9 & 0 & 3 & 3 & 3 & 9 & 0 & 8 & 4 & 4 & 4 & 10 \\ 1 & -1 & 1 & 0 & 0 & 1 & 2 & 0 & 2 & 4 & 0 & 0 & 0 & 0 & 2 & 0 & 3 & 3 & 3 & 0 & 4 \\ 1 & 1 & -1 & 0 & 0 & 1 & 2 & 0 & 0 & 2 & 0 & 2 & 0 & 0 & 2 & 0 & 3 & 0 & 0 & 3 & 4 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 4 & 0 & 0 & 4 & 0 & 2 & 6 & 2 & 6 & 0 & 3 & 9 & 3 & 8 \\ 1 & 0 & 0 & 1 & -1 & 1 & 0 & 0 & 4 & 2 & 0 & 4 & -2 & 0 & 4 & 0 & 6 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & -1 & 2 & 0 & 0 & 2 & 0 & 0 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & -2 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 3 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & -2 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 2 & 0 & 2 & 4 & 0 & 3 \\ 0 & 1 & -1 & 0 & 1 & -1 & -1 & 1 & -2 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & -2 & 0 & -2 & 0 \\ 0 & 1 & 1 & 0 & 0 & 2 & 2 & 0 & 1 & -1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 2 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & -2 & 0 & 0 & 1 & 0 & 2 & 0 & 0 & 2 & 2 & 3 \\ 0 & 0 & 2 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & -1 & 0 & 0 & 1 & 0 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -1 & 1 & 1 & 0 & 0 & 4 & 2 & 4 & 6 \\ 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & -2 & 0 & 2 & 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & -1 & 0 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & -1 & -2 & 1 & -1 & -2 & -4 & -8 & -3 & -2 & -2 & -2 & -2 & -2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 2 & 3 & 0 & 2 & 0 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & -1 & -1 & 0 & -3 & -4 & -1 & -1 & -3 & -1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 1 & 1 & 2 & 6 & 8 & 2 & 2 & 3 & 1 & 3 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 3 & 2 & 3 & 4 & 1 & 1 & 2 & 2 & 0 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 3 & 2 & 3 & 2 & 0\end{pmatrix}\notag\end{equation}$$