For the following rotation$-$based point group symmetries $($assume they are located at the

origin and the rotation axis is along the $z$ axis$),$ identify the equivalent positions in terms of

fractional coordinates for the asymmetric object located at $(x,y,z).$

$($a$)3$

$($b$)\frac{?}{\text{b}\text{a}\text{r}}(3)$

$($c$)3_1$

$($d$)3_2$

$($e$)6$