Thanks very much for writing up this brief note. I'm collecting algorithms 
at the moment, for an eventual assault on multivariate factoring. This may 
be useful!

Bill.

On Tuesday, 8 November 2016 21:03:01 UTC+1, parisse wrote:
>
> I have improved the sparse multivariate factorization algorithm in giac 
> 1.2.2-101, it will factor the given polynomial in about 2s. It is based on 
> a simple idea of comparing a few bivariate factorizations, it is explained 
> here https://hal.archives-ouvertes.fr/hal-01394062 in order to help other 
> open-source systems to implement it if they wish.
>

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