I want to check for irreducibility of moderate degree polynomials in
very large numbers of variables.  A typical example is a 20 degree
polynomial in 21 variables.  The polynomials are expressed as very
compact expressions, but blow up terribly if expanded out into
monomials.

Does sage have any existing support for irreducibility testing on
black box polynomials?  There's been a fair amount of work in this
area, but a brief glance didn't turn up any implementations as part of
sage.

Thanks,
Geoffrey

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