$\text{Let Z= }\frac{\text{-1+}\sqrt{\text{3}}i}{2}\text{, i=}\sqrt{\text{-1}}\text{, and r,s}\in \left\{\text{1,2,3}\right\}\text{ .let P = }\left[\begin{array}{l}{\text{(-Z)}}^{\text{r}}{\text{ Z}}^{\text{2s}}\\ {\text{Z}}^{\text{2s}}{\text{ Z}}^{\text{r}}\end{array}\right]\text{ and I be the Identity matrix}$ ${\text{of order 2. Then the total no.of orderd pairs for which P}}^{\text{2}}=-\text{I is}\mathrm{........}$