A solution ζ_k = e^(2π i k/d) to the cyclotomic equation x^d = 1. The de Moivre numbers give the coordinates in the complex plane of the polygon vertices of a regular polygon with d sides and unit radius. d | de Moivre number 2 | ± 1 3 | 1, 1/2(-1 ± isqrt(3)) 4 | ± 1, ± i 5 | 1, 1/4(-1 + sqrt(5) ± isqrt(10 + 2sqrt(5))), 1/4(-1 - sqrt(5) ± isqrt(10 - 2sqrt(5))) 6 | ± 1, ± 1/2( ± 1 + isqrt(3))
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