bnf unit normalization

[John Cremona <john.cremona@gmail.com>]

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