On Tuesday, 11 November 2014 00:42:58 UTC+11, Jean Michel wrote:
>
> You should look at the latest version of chevie 
>
> http://webusers.imj-prg.fr/~jean.michel/gap3/gap3-jm4.tar.gz 
>
> or 
>
> http://webusers.imj-prg.fr/~jean.michel/gap3/gap3-jm5.tar.gz 
>
> where I implemented the latest stuff of Meinolf Geck and Abbie Hall. 
> I can give the elements of the left cell containing a given element of E8 
> in 
> less than 2 minutes. 
>
> Here is an example in E7: 
>
> gap>W:=CoxeterGroup("E",7);; 
> gap> LeftCell(W,Random(W));time; 
> LeftCell<E7: duflo=18,21,45,53 character=phi{378,14}> 
> 40 
>
> 40 milliseconds! 
>
> Dear Jean,

This sounds really impressive. Perhaps it is enough to use chevie...in 
which case we should update the version of chevie that ships with sage (or 
os gap3 still optional?).

Andrew 

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