  The characters of parafermionic conformal field theories are given by the
string functions of affine algebras, which are either twisted or untwisted
algebras. Expressions for these characters as generalized Rogers Ramanujan
algebras have been established for the untwisted affine algebras. However, we
study the identities for the string functions of twisted affine Lie algebras.
Conjectures for the string functions was proposed by Hatayama et al., for the
unit fields, which expresses the string functions as Rogers Ramanujan type
sums. Here we propose to check the Hatayama et al. conjecture, using Lie
algebraic theoretic methods. We use Freudenthal's formula, which we
computerized, to verify the identities for all the algebras at low rank and low
level. We find complete agreement with the conjecture.
