On Sun, Feb 19, 2012 at 03:27:08PM -0800, Andrew Mathas wrote:
> It looks like this patch already has a positive review.
Yeah, thanks Florent! Feel free to double check the change to the
Iwahori-Hecke file.
> I'm also stuck in limbo with sage at the moment as I foolishly
> upgraded to macosx lion, so I'm still using 4.7.1 as I can't compile
> from source. I am looking forward to the release of sage 5.0:)
Yeah ...
> I am right in thinking that run_snake or it is runsnake?) is available
> from 4.7.2 onwards?
Yes. You need to install the runsnake program itself separately though
(see runsnake? for details).
> It looks like it is now faster than gap.
Good to know.
> I'll have to wait until I play with it properly in sage 5 to see how
> it behaves for larger tableaux.
Yeah; so far the gain was mostly about constant time factors. More
experiments need to be run to make sure the complexity is reasonable.
Keep us updated!
> > sage: CyclotomicField(5)['xi'].fraction_field()
>
> I think that I want
>
> sage: xi=e**(2*pi*i/5);
> R=FractionField(PolynomialRing(ZZ[xi],'x'))
That would work indeed. Using CyclotomicField is probably a bit faster
than a generic number field though:
sage: xi=e**(2*pi*i/5);
sage: QQ[xi]
Number Field in a with defining polynomial x^4 + x^3 + x^2 + x + 1
sage: ZZ[xi]
Order in Number Field in a with defining polynomial x^4 + x^3 + x^2 + x
+ 1
But you are right, my construction should have read:
sage: CyclotomicField(5, 'xi')['x'].fraction_field()
Fraction Field of Univariate Polynomial Ring in x over Cyclotomic Field of
order 5 and degree 4
Cheers,
Nicolas
--
Nicolas M. Thiéry "Isil" <[email protected]>
http://Nicolas.Thiery.name/
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