Visualizing exponentials of roots of unity in $\mathbb{C}$

Question

Let $\omega$ be the primitive $n$th root of unity. Then define the coordinates of

$(\omega^k,0)$ and $(0,\omega^k)$

for $k=1,...,n$. What do these points look like in $\mathbb{C}$ in a geometric sense? I am struggling to visualize these coordinates.