Crepant Resolutions of C^n/A_1(n) and Flops of n-Folds for n = 4,5

In this article, we determine the explicit toric variety structure of ${\text{hl}}^{A_1(n)}({\text{CZ}}^n)$ for $n=4,5$, where $A_1(n)$ is the special diagonal group of all order 2 elements. Through the toric data of ${\text{hl}}^{A_1(n)}({\text{CZ}}^n)$, we obtain certain toric crepant resolutions of ${\text{CZ}}^n\mathrm{/}{A}_1(n)$, and the different crepant resolutions are connected by flops of $n$-folds for $n=4,5$.