[sage-support] Working over extensions of polynomial rings

Hello, I want to do some calculations over an extension of the polynomial ring Z[q] which many quantum integers have square roots. Initially I thought that I was going to be easy and that I could do the following: sage: R.q=PolynomialRing(QQ) sage: s3=(1+q+q^2).sqrt(name='s3') sage:

Re: [sage-support] Working over extensions of polynomial rings

On 2014-10-09 10:31, Andrew wrote: sage:R.q=PolynomialRing(QQ) sage:s3=(1+q+q^2).sqrt(name='s3') sage:s4=(1+q+q^2+q^3).sqrt(name='s4') sage:s3*s4 # this blows up:( If you don't mind approximations, you could consider using PowerSeriesRing(QQ) instead. There, every polynomial with constant