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John Cremona on Thu, 24 Jun 2010 23:41:04 +0200
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- To: pari-users <pari-users@list.cr.yp.to>
- Subject: bnf unit normalization
- From: John Cremona <john.cremona@gmail.com>
- Date: Thu, 24 Jun 2010 14:40:09 -0700
- Delivery-date: Thu, 24 Jun 2010 23:41:04 +0200
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I was wondering what normalization, if any, is done to the system of
fundamental units as computed by bnfinit?
I think it makes sense to talk of a unit basis being LLL-reduced, in
the sense that the lattice which is the image of the units under the
logarithmic embedding has many bases and these may (or may not) be
LLL-reduced.
So the question is: is the unit basis LLL-reduced in this sense? If
not, could it be?
John Cremona