Every z with zⁿ = 1 lies on
the unit circle at angle 2πk/n.
Sum of all roots = 0.
Product = (−1)^(n−1).
Roots form a regular n-gon.

n = 6

ωₖ = hover a root

arg = —

zoom = 1×

sum = 0 • ωₖ = e^(2πik/n) • |ωₖ| = 1