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2013-10-05 12:19:29 +0200	marked best answer	Lifting polynomials It's a two-step process. First you need to lift in $\mathbb{Z}/27\mathbb{Z}[y]$, then lift the coefficients in $\mathbb{Z}$: `fp.lift().change_ring(ZZ)` Or, if you want the result to live in your polynomial ring `Q` of variable `X` `Q(fp.lift())`
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2013-10-05 12:19:21 +0200	commented answer	Lifting polynomials that's exactly it! thanks a lot!
2013-10-05 09:56:19 +0200	commented answer	Lifting polynomials are you positive about this? I'm a bit confused as my Polynomial ring Q is defined by the variable 'X'(as shown above) and the variable in fp is 'y'. should't the answer be a polynomial with 'X'? my answer is show in his ring Qp.<y> = PolynomialRing(Zmod(p)).
2013-10-05 08:14:18 +0200	asked a question	Lifting polynomials Hello! I have this polynomial 'fp' that I'd lite to lift to ZZ. How do I go about doing something like this in Sage online? `Univariate Quotient Polynomial Ring in y over Ring of integers modulo 127 with modulus Y^23 + 126 fp=y^21 + 126y^19 + y^17 + 126y^16 + y^15 + y^14 + y^13 + y^12 + y^9 + 126y^8 + 126y^5 + 126y^4 + 126y^2 + 126*y + 1 Univariate Polynomial Ring in X over Integer Ring Q.<X> = PolynomialRing(ZZ)` Best regards!