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John Cremona on Thu, 24 Jun 2010 23:45:54 +0200
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Fwd: bnf unit normalization A12-140
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- To: pari-users <pari-users@list.cr.yp.to>
- Subject: Fwd: bnf unit normalization A12-140
- From: John Cremona <john.cremona@gmail.com>
- Date: Thu, 24 Jun 2010 14:44:59 -0700
- Delivery-date: Thu, 24 Jun 2010 23:45:54 +0200
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---------- Forwarded message ----------
From: John Cremona <john.cremona@gmail.com>
Date: 24 June 2010 14:40
Subject: bnf unit normalization
To: pari-users <pari-users@list.cr.yp.to>
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