Changes

:<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>.

The cyclotomic polynomials are often written as <math>\Phi_n(z)</math>.  The polynomial <math>z^n - 1\!</math> has exactly as many of these factors as there are integer factors of n:

The cyclotomic polynomials are often written as <math>\Phi_n(z)</math>.  The polynomial <math>z^n - 1\!</math> has exactly as many of these factors as there are integer divisors of n:

:<math> z^6 - 1 = \Phi_6(z)\Phi_3(z)\Phi_2(z)\Phi_1(z) </math>.

:<math> z^6 - 1 = \Phi_6(z)\Phi_3(z)\Phi_2(z)\Phi_1(z) </math>.