[sage-support] Re: LLL_gram of matrices with 0 eigenvalues

2013-03-20 Thread Dima Pasechnik
On 2013-03-19, Victor Miller victorsmil...@gmail.com wrote: --=_Part_554_9793948.1363718282627 Content-Type: text/plain; charset=ISO-8859-1 Suppose that A is an m by n integer matrix. Its Gram matrix is G = A*A^t. If A is not full rank, then G has some eigenvalues of 0. If I do

[sage-support] Re: LLL_gram of matrices with 0 eigenvalues

2013-03-20 Thread Victor Miller
Thanks Dima and John, In the meantime, since I have Magma available to me I tried to use magma's functions. What I'm really interested is getting the unimodular (when it makes sense to use that term) transition matrix needed to put a matrix in reduced form. It looks like, but correct me if

[sage-support] Re: LLL_gram of matrices with 0 eigenvalues

2013-03-20 Thread Victor Miller
Aha, I found the nvals= option to magma commands. So for now I'll use that. I would like to ask that LLL optionally return the transition matrix (and also BKZ if that's possible). Victor On Tuesday, March 19, 2013 2:38:02 PM UTC-4, Victor Miller wrote: Suppose that A is an m by n integer