## Constructing Regular Polygons -- Primitive Roots of Unity

I have been working for quite a while on finding closed, **simple** expressions for primitive roots of unity, that is finding solutions
of cyclotomic polynomials by radical expressions in the case of constructible regular polygons.

The long-term goal is to find solutions for the 5th, 17th, 257th, and 65537th root of unity.
This is an onging project.

### Primitive 5th Root of Unity

### Primitive 17th Root of Unity

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Adrian Turtschi, Jan 2008