thanks! however, not quite there - how do I get the units in terms of q?
On Jun 17, 5:46 pm, Minh Nguyen <[email protected]> wrote: > Hi, > > On Thu, Jun 18, 2009 at 2:09 AM, bonzerpotato<[email protected]> wrote: > > > After creating a number field A as below, when I try to find the units > > it tells me I need to use either the relative or absolute polynomial. > > I want the relative, but how do I implement this? > > <SNIP> > > This should do the trick: > > [mv...@sage ~]$ sage > ---------------------------------------------------------------------- > | Sage Version 4.0.1, Release Date: 2009-06-06 | > | Type notebook() for the GUI, and license() for information. | > ---------------------------------------------------------------------- > sage: K.<q> = NumberField(x^2 + 2); K > Number Field in q with defining polynomial x^2 + 2 > sage: B.<x> = K["x"] > sage: A.<c> = K.extension(x^3 + (q^3)*x^2 + (2*q^2)*x - 3*q); A > Number Field in c with defining polynomial x^3 - 2*q*x^2 - 4*x - 3*q > over its base field > sage: A.relative_polynomial() > x^3 - 2*q*x^2 - 4*x - 3*q > sage: A.absolute_polynomial() > x^6 + 40*x^2 + 18 > > -- > Regards > Minh Van Nguyen --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] 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 -~----------~----~----~----~------~----~------~--~---
