On Tuesday, January 30, 2018 at 3:50:45 PM UTC, Simon Brandhorst wrote:
>
> sage: M = Matrix(R,4,[0, 0, 1, 1, 2^19, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1])
> sage: M.inverse()
> [     1048575            2            0            1]
> [274878955520       524288            1      1048575]
> [      524289       524287            1       524287]
> [274877382656       524289      1048575       524289]
>
> Works.
>
 
Only in the sense that you don't get an error:

sage: min([a.valuation() for a in (M*M^(-1)-M^0).list()])
1

that's quite far from what it should be. With appropriate pivoting of 
course:

sage: min([a.valuation() for a in (M*(P*(M*P)^(-1))-M^0).list()])
20

 

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