#5178: [with patch; needs review] change LLL_gram to work with Gram matrices
with
not-necessarily integer entries
----------------------------+-----------------------------------------------
Reporter: was | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.3
Component: linear algebra | Keywords:
----------------------------+-----------------------------------------------
This patch changes LLL_gram to work with Gram matrices with not-
necessarily integer entries. Also it fixes several "non-optimal" coding
issues both in the old implementation and the doctests. For example,
instead of computing U.det() to determine if the unimodular A has det -1
or 1, we just compute A.change_ring(GF(3)).det(), which is much faster.
Changing LLL_gram to work for nonintegral gram matrices is critical for
applications to computing class groups for the course I'm teaching right
now.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5178>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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