hermann on Tue, 05 Mar 2024 00:13:27 +0100


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Re: Question on completeness of the qfminin() command on finding all vectors for a given positive definite symmetric matrix


On 2024-03-04 23:31, American Citizen wrote:

However when I actually used this to find all rational points < height
13, I found 18 points which were missing from the 49 which qfminim()
gave + torsion points.

I ran into this pitfall as well for my application and asked on this list. I learned from Bill that I just had to add the negative values to get all:

S=concat(S,-S);

You can visually see that in ℤ³ by clicking on the "S=concat(S,-S)" radio button bottom left:
https://stamm-wilbrandt.de/tqf_3D.2.gp.n_37.html

Regards,

Hermann.