Let $M=\left[\begin{array}{cc}0 & -\alpha \\ \alpha & 0\end{array}\right]$, where $\alpha$ is a non-zero real number an $N=\sum_{k=1}^{49} M^{2 k}$. If $\left(I-M^2\right) N=-2 I$, then the positive integral value of $\alpha$ is $\_\_\_\_$ .
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