Let $A=\left[\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right]$. If $M$ and $N$ are two matrices given by $M=\sum_{k=1}^{10} A^{2 k}$ and $N=\sum_{k=1}^{10} A^{2 k-1}$ then $M N^2$ is
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