If
is a Salem number of degree d = 2s, then it has two real conjugates,
and
, and s-1 pairs of complex conjugates
for
. All the numbers
lie in the set
. As is familiar from the geometry of numbers
[2], p.96, we can think of
as a lattice
in
defined by mapping
onto the point
,
where
denotes the conjugate of
corresponding to the conjugation
.
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