# Revision history [back]

Be careful that your lifted polynomial is not a polynomial in ZZ but in GF(q). You can check with

sage: aa.lift().parent()
Univariate Polynomial Ring in x over Finite Field of size 7


What you actually want is the "centered lift of this lift". A one line solution is

sage: ZZ['x']([coeff.lift_centered() for coeff in aa.lift()])
-3*x^4 + 2*x^3 + x^2 + 3*x - 2


Not very elegant but it does the job.