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x^4 + x^3 + x^2 + x + 1 - ( x^2 + f x + 1)(x^2 + (1-f) x + 1)- (f^2-f-1)x^2
x^4 + x^3 + x^2 + x + 1 - ( x^2 + f x + 1)(x^2 + (1-f) x + 1)- (f^2-f-1)x^2
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