(x^8 - x^4 + 1)*(x^4 - x^2 + 1)*(x^4 + 1)*(x^2 + x + 1)*(x^2 - x + 1)*(x^2 + 1)*(x + 1)*(x - 1)
[(x^8 - x^4 + 1, 1), (x^4 - x^2 + 1, 1), (x^4 + 1, 1), (x^2 + x + 1, 1), (x^2 - x + 1, 1), (x^2 + 1, 1), (x + 1, 1), (x - 1, 1)]
x^8 - x^4 + 1
x^4 - x^2 + 1