It seems there is an issue either in the Singular interface or in Singular:
sage: K0=GF(11) sage: #K0=QQ sage: R0.<b>=K0[] sage: K.<b>=K0.extension(b^5+4) sage: R1.<zzz>=K[] sage: L=FractionField(R1) sage: R.<x>=L[] sage: f=x^4+1/(b*zzz) sage: f._singular_() # where is the fraction 1/(b*zzz) ? x^4 sage: f=x^4+1/(b) sage: f._singular_() -3*b^4+x^4 sage: f=x^4+(1)/(zzz) sage: f._singular_() x^4+1/(zzz) see also http://ask.sagemath.org/question/25083/bug-in-roots/ -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.