Unimodular transformation matrix of LLL algorithm

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Santanu Sarkar

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Sep 27, 2020, 2:54:11 AM9/27/20
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Dear all,
   I have a matrix M1 with integer entries with 90 rows and 6 columns.
After applying LLL algorithm of M1, I get M2=M1.LLL(). I want to get
corresponding unimodular transformation matrix T such that
T*M1=M2. We can find T by
T=M2*M1.pseudoinverse() or T== M1.solve_left(M2), but determinant of T becomes 0 i.e.,  T.det()=0.
I want T.det()=1.

Best regards,
Santanu

slelievre

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Sep 27, 2020, 8:18:27 AM9/27/20
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Note: also asked on Ask Sage:

- Unimodular transformation matrix of LLL algorithm
  https://ask.sagemath.org/question/53618
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