>> Instead I worked around this by computing the determinants
>> mod 2 and mod 13 and using CRT (if the determinants were
>> both units).  The time was then almost trivial.  Suppose I
>> replace this problem over ZZ/25ZZ or ZZ/256ZZ. I would
>> still hope that the problem would NOT be lifted to ZZ for
>> computation, since this would certainly not terminate in
>> reasonable time for a dense matrix.

In general doing this via the CRT requires factoring, so some cutoff  
must be made, which will become outdated...

Nick

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