in my case sorted() does not sort that list: sage: K.<zeta8> = CyclotomicField(8) sage: g=GL(2,3) sage: sorted([x.values() for x in g.irreducible_characters()]) [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, -1, -1, -1], [2, -1, 2, -1, 2, 0, 0, 0], [2, 1, -2, -1, 0, -zeta8^3 - zeta8, zeta8^3 + zeta8, 0], [2, 1, -2, -1, 0, zeta8^3 + zeta8, -zeta8^3 - zeta8, 0], [3, 0, 3, 0, -1, 1, 1, -1], [3, 0, 3, 0, -1, -1, -1, 1], [4, -1, -4, 1, 0, 0, 0, 0]]
(no matter whether or not I do K.<zeta8> = CyclotomicField(8)) Dima On Jan 26, 7:08 pm, Alex Ghitza <aghi...@gmail.com> wrote: > On Tue, 26 Jan 2010 02:00:34 -0800 (PST), Dima Pasechnik <dimp...@gmail.com> > wrote: > > yes, this works for numerical lists, but not for e.g. > > [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, -1, -1, -1], [2, -1, 2, -1, > > 2, 0, 0, 0], [2, 1, -2, -1, 0, -zeta8^3 - zeta8, zeta8^3 + zeta8, 0], > > [2, 1, -2, -1, 0, zeta8^3 + zeta8, -zeta8^3 - zeta8, 0], [3, 0, 3, 0, > > -1, 1, 1, -1], [3, 0, 3, 0, -1, -1, -1, 1], [4, -1, -4, 1, 0, 0, 0, > > 0]] > > > (sorted does not like mixing zeta (string(?)) with numbers, > > apparently) > > Here is what I get: > > sage: K.<zeta8> = CyclotomicField(8) > sage: lst = > [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, -1, -1, -1], > [2, -1, 2, -1, 2, 0, 0, 0], [2, 1, -2, -1, 0, -zeta8^3 - zeta8, zeta8^3 + > zeta8, 0], > [2, 1, -2, -1, 0, zeta8^3 + zeta8, -zeta8^3 - zeta8, 0], [3, 0, 3, 0, -1, 1, > 1, -1], > [3, 0, 3, 0, -1, -1, -1, 1], [4, -1, -4, 1, 0, 0, 0, 0]] > sage: sorted(lst) > [[1, 1, 1, 1, 1, -1, -1, -1], [1, 1, 1, 1, 1, 1, 1, 1], > [2, -1, 2, -1, 2, 0, 0, 0], [2, 1, -2, -1, 0, -zeta8^3 - zeta8, zeta8^3 + > zeta8, 0], > [2, 1, -2, -1, 0, zeta8^3 + zeta8, -zeta8^3 - zeta8, 0], [3, 0, 3, 0, -1, > -1, -1, 1], > [3, 0, 3, 0, -1, 1, 1, -1], [4, -1, -4, 1, 0, 0, 0, 0]] > > I'm not sure what you mean by "works" or "does not work". The list gets > sorted by Python. This ordering does not magically acquire mathematical > naturality that it did not have before, we just get a list that will now > be the same no matter what version of Sage, GAP, C compiler, etc. is > used. The only way you might be able to get a different-looking result > now is if you change the underlying comparison function, which is not > something that happens very often at all. > > So the point of sorted() is not necessarily that the resulting list will > look sorted to the human eye, but that computers will reliably always > get the same answer. > > Best, > Alex > > -- > Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne > -- Australia --http://www.ms.unimelb.edu.au/~aghitza/ -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
