Dear Sage Community,
I am trying the way to obtain the matrix transformation of a LLL reduced basis, that is a matrix that gives the expression of the new lattice basis in terms of the old.
In particular, I have a matrix X and the LLL reduced base Y (obtain by the LLL function of Sage: Y=X.LLL()) and I want a matrix T such that TX=Y.
I try to solve the problem using solve.left() but the result is different from Magma. With a matrix X=[5 2] [1 4] [2 3],
the T matrix in Sage is [ 0 0 0] [ 2/9 -1/9 0] [ 1/18 -5/18 0] while in Magma is [ -3 -6 10] [ -3 -7 11] [ -5 -11 18]
Please could anyone help me to understand a way to have in SAGE the same result of Magma?
