Many regularities are apparent in Table 1. For example, it is easy to spot numerous
occurences of 
, 
, 
, 
, etc., and even to guess the
general pattern of such occurences. Such results can usually be proved by the method
of [3]. That is, one guesses the expansion 
of 
, verifies that this purported expansion is a legitimate expansion of
a beta number 
according to Parry's criterion, computes the characteristic
polynomial 
of 
by (1.2), and verifies that 
is divisible by 
,
the minimal polynomial of 
. For example, here are some simple cases:
Annotation Form Interface