Thank you all for your replies! Now I have another problem: sage: for f in list(GF(2)['x'].polynomials(of_degree=2)): ....: print len(prime_divisors(f)), f ....: 1 x^2 1 x^2 + 1 2 x^2 + x 1 x^2 + x + 1
Only one of these polynomials should have a 1 in the first column (the polynomial that's irreducible). What am I doing wrong? Thanks, NS On Mar 9, 1:20 pm, John Cremona <john.crem...@gmail.com> wrote: > On 9 Mar, 18:05, YannLC <yannlaiglecha...@gmail.com> wrote: > > > > > On Mar 9, 6:38 pm, Nick Alexander <ncalexan...@gmail.com> wrote: > > > > On 9-Mar-09, at 8:48 AM, Noel wrote: > > > > > Hello Y'all, > > > > > What's the best way of listing all polynomials of a given degree with > > > > coefficients in a finite field? > > > > If you want a one liner, you could use > > > > sage: [ GF(3)['x'](list(t)) for t in (GF(3)^2) ] > > > [0, 1, 2, x, x + 1, x + 2, 2*x, 2*x + 1, 2*x + 2] > > > > Nick > > > if you want another one liner, and an exact degree, you could use > > > list(GF(3)['x'].polynomials(of_degree=2)) > > That is better since (without the list) it is an iterator; also you > can put in max_degree= instead of of_degree= to get all polys up to a > given degree. Someone else must have needed this and implemented it! > > John > > > > > Yann --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
