Let $f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^2 & a x & a\end{array}\right|, a \in R$. Then the sum of which the squares of all the values of $a$ for $2 f^{\prime}(10)-f^{\prime}(5)+100=0$ is :
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