Primitive Complex Roots of Unity/Examples

Examples of Primitive Complex Roots of Unity

Primitive Complex Cube Roots of Unity

The primitive complex cube roots of unity are:

\(\ds \omega\)

\(=\)

\(\, \ds e^{2 \pi i / 3} \, \)

\(\, \ds = \, \)

\(\ds -\frac 1 2 + \frac {i \sqrt 3} 2\)

\(\ds \omega^2\)

\(=\)

\(\, \ds e^{4 \pi i / 3} \, \)

\(\, \ds = \, \)

\(\ds -\frac 1 2 - \frac {i \sqrt 3} 2\)