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 coefficient 1 has a square root.
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