Question: determinant of matrix of multivariate polys - why is "object too large"?

I'm trying to compute the determinant of a 19x19 matrix, each with entries consisting of multivariate polynomials (polys in 6 vars, of degree at most 8).  Specifically I want to factor the determinant.  Running this on Maple 15 quickly gives an "object too large" error in the determinant function, after using only 700 MB of RAM in about 2 minutes.  My machine has 3GB of RAM, so I am confused as to why this object is "too large". 

 

I understand that there is the SDM "sparse" representation of multivariate polynomials.  But I don't exactly know how to use it in this context.  Any help?

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