On Thu, Jan 28, 2010 at 6:31 AM, Alex Ghitza <aghi...@gmail.com> wrote:

...

>
>
> So after all this I'm still not sure what the right fix is.  If GAP often
> gives us the characters in an order that's standard (e.g. following the
> Atlas), then of course it would be rather annoying for Sage to sort the
> list according to some other half-baked criterion.  On the other hand,
> if there are situations where a randomised algorithm is used and the
> ordering is not guaranteed to always be the same, that's going to mess
> with our doctests.  Having written this paragraph and read it a couple
> of times, I tend to say:
> (a) fix the doctest "broken" by the upgrade to gap 4.4.12 manually (no
> sorting, just replace the old answer by the new one)
> (b) don't touch irreducible_characters() and respect whatever ordering
> GAP gives, and
> (c) if/when comparison of Sage number field elements gets fixed, replace
> the said doctest with the one using sorted()
>
> This would my proposal for irreducible_characters().  For
> word_problem(), I still think that returning a sorted list is a good
> idea, but I'd like to know what David thinks.
>


I agree with (a), (b), (c), and think you wrote a good summary of the problem.


>
> Best,
> Alex
>
>
> --
> Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
> -- Australia -- http://www.ms.unimelb.edu.au/~aghitza/
>
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