zeta {cyclotomic}

The primitive n-th root of unity.

Description

For example, 'zeta(4) = i' is the primitive 4th root of unity, and 'zeta(5) = exp(2*pi*i/5)' is the primitive 5th root of unity. In general, 'zeta(n) = exp(2*pi*i/n)'.

Usage

zeta(n)

Arguments

n

a positive integer

Value

A cyclotomic number.

Examples

zeta(4)