Solution (source code)

= Solution

In <polar form>, a cube root of one has <modulus> one and <argument> $2\pi k/3$. The three <roots of unity> are
$$
\boxed{1,\qquad\frac{-1+i\sqrt3}2,\qquad\frac{-1-i\sqrt3}2.}
$$
They are equally spaced on the <unit circle>.