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'''Cyclotomic''' (or "circle dividing") '''polynomials''' are the irreducible factors of <math>z^n - 1\!</math> when the polynomial coefficients are restricted to the field of [[rational numbers]]. For example
'''Cyclotomic''' (or "circle dividing") '''polynomials''' are the irreducible factors of <math>z^n - 1\!</math> when the polynomial coefficients are restricted to the field of [[rational number]]s. For example
:<math> z^6-1 = (z^2-z+1) (z^2+z+1) (z+1) (z-1) </math>.
:<math> z^6-1 = (z^2-z+1) (z^2+z+1) (z+1) (z-1) </math>.