Characteristic polynomial
$$\begin{equation}\left(\lambda^{4} + 5 \lambda^{3} + \lambda^{2} - 45 \lambda - 53\right)^{2} \left(\lambda^{13} + 14 \lambda^{12} + 3 \lambda^{11} - 1266 \lambda^{10} - 11913 \lambda^{9} - 45937 \lambda^{8} + 8920 \lambda^{7} + 977510 \lambda^{6} + 5533606 \lambda^{5} + 20138822 \lambda^{4} + 59588133 \lambda^{3} + 137440212 \lambda^{2} + 200604171 \lambda + 129625577\right)\notag\end{equation}$$
Minimal polynomial
$$\begin{equation}\left(\lambda^{4} + 5 \lambda^{3} + \lambda^{2} - 45 \lambda - 53\right) \left(\lambda^{13} + 14 \lambda^{12} + 3 \lambda^{11} - 1266 \lambda^{10} - 11913 \lambda^{9} - 45937 \lambda^{8} + 8920 \lambda^{7} + 977510 \lambda^{6} + 5533606 \lambda^{5} + 20138822 \lambda^{4} + 59588133 \lambda^{3} + 137440212 \lambda^{2} + 200604171 \lambda + 129625577\right)\notag\end{equation}$$
Quantum multiplication matrix
$$\begin{equation}\begin{pmatrix}0 & 0 & 2 & 2 & 2 & 6 & 0 & 0 & 3 & 3 & 3 & 3 & 6 & 3 & 9 & 0 & 4 & 4 & 4 & 4 & 5 \\ 1 & -1 & 0 & 0 & 0 & 0 & 2 & 2 & 2 & 6 & 0 & 0 & 0 & 0 & 2 & 3 & 3 & 6 & 3 & 0 & 4 \\ 1 & 0 & -1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 2 & 2 & 4 & 0 & 2 & 0 & 3 & 3 & 0 & 3 & 4 \\ 1 & 0 & 0 & -1 & 0 & 1 & 0 & 0 & 0 & 0 & 2 & 0 & 2 & 2 & 2 & 0 & 0 & 0 & 3 & 3 & 4 \\ 1 & 1 & 0 & 0 & -1 & 1 & 0 & 0 & -2 & 0 & 0 & 2 & 2 & 2 & 4 & 0 & 0 & 0 & 0 & 3 & 0 \\ 1 & 0 & 1 & 1 & 1 & -1 & 0 & 0 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & -2 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 2 & 2 & 4 & 0 & 0 & 3 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & -2 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 2 & 2 & 0 & 3 \\ 0 & 1 & 0 & 0 & 2 & 0 & 0 & 0 & -1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 2 & 2 & 0 & 3 \\ 0 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & -2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & -2 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 3 \\ 0 & 0 & 1 & -1 & 1 & -2 & 1 & 0 & 0 & 0 & -1 & -2 & 0 & -1 & 0 & 0 & -2 & 0 & -2 & 2 & 0 \\ 0 & 0 & 1 & 1 & 0 & 3 & 0 & 0 & 0 & 0 & 2 & 1 & -1 & 1 & 1 & 0 & 2 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & -1 & 1 & 0 & 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & -1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & -1 & -2 & 1 & -1 & -2 & -1 & -6 & -3 & -1 & -1 & -1 & -2 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & -1 & 1 & -2 & 0 & 2 & 0 & -1 & -2 & -1 & -2 & 0 & -1 & -1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 & 0 & 1 & 3 & 1 & 6 & 2 & 2 & 0 & 2 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 2 & 3 & 0 & 0 & 0 & 3 & 4 & 1 & 1 & 1 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 2 & 3 & 2 & 3 & 1 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 2 & 3 & 2 & 3 & 0\end{pmatrix}\notag\end{equation}$$