On May 26, 3:04 am, Gaëtan Bisson <[EMAIL PROTECTED]> wrote: > Carl Witty wrote: > > You need to explicitly use the field of fractions of R: > > > sage: R.<a,b> = QQ[] > > sage: S.<x> = R.fraction_field()[] > > sage: xgcd(x^2, a*x+b) > > (b^2/a^2, 1, ((-1)/a)*x + b/a^2) > > Thanks. Is it possible to do the same computation over a number field > (instead of QQ)? > > For instance: > R.<a,b> = NumberField(x^2-3,'g')[] > S.<y> = R.fraction_field()[] > xgcd(y^2, a*y+b) > > returns the error: (more below) > <type 'exceptions.TypeError'>: unsupported operand type(s) for %: > 'sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic' > and > 'sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic'
This should work, but doesn't due to a bug (well, perhaps you could call it a missing feature instead). I've posted a patch here, http://trac.sagemath.org/sage_trac/ticket/3327 so this will work in some future version of Sage (likely the next version, assuming that somebody positively reviews my patch). Carl --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
