computing rank of big dense matrices over number fields

[Vincent Delecroix <vincent.delecroix@u-bordeaux.fr>]

Dear pari team,

I have dense matrices defined over number fields. The target size
(rows and columns) and number field degree are around 30. In other
words, as a matrix over the rationals it looks like a 1000 x 1000
dense matrix. I would like to compute its rank. Very quickly
matrank seems stuck whereas it reasonably works for 1000 x 1000
rational matrices. Is there any alternative approach that
could be used?

Best
Vincent