Hi,
on http://www.loria.fr/~zimmerma/exemple40.sage you can find a 500x360
integer matrix for which computing the Hermite Normal Form takes about
10 times longer in Sage than in Magma:
sage: C
500 x 360 dense matrix over Integer Ring
sage: time A=C.hermite_form()
CPU times: user 22.91 s, sys: 0.09 s, total: 23.01 s
Wall time: 23.02 s
(it takes 2.440s with Magma on the same machine)
Is there a faster way to compute a HNF in Sage? Does IML do that?
Paul
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