Den onsdag den 12. august 2015 kl. 16.07.15 UTC+2 skrev mmarco:
>
> I see, i got the wrong idea about the representation. Thanks for the 
> clarification. In that casde, it would be really interesting to run your 
> benchmark on a lot of different cases. Maybe the sparcity advantage gets 
> reduced after a big number of crossings, when we get a lot of non-zero 
> entries in the matrix.
>

Yep, it could be fun to see how they perform on the katlas database (which 
I believe you've already mounted on sage) to see how they fare in 
'practice'. I would imagine that sparsity correlates very strongly with the 
Nielsen-Thurston type of the braid (without wanting to make too precise a 
statement in that direction).

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