Complex Roots of Unity/Examples/7th Roots

Example of Complex Roots of Unity
The complex $7$th roots of unity are the elements of the set:
 * $U_n = \set {z \in \C: z^7 = 1}$

They are:

Proof
By definition, the first complex $7$th root of unity $\alpha$ is given by:

Hence the result:


 * Complex 7th Roots of 1.png