  It is shown that the numbers of off-diagonal solutions to the U_q(X^{(r)}_N)
Bethe equation at q=0 coincide with the coefficients in the recently introduced
canonical power series solution of the Q-system. Conjecturally the canonical
solutions are characters of the KR (Kirillov-Reshetikhin) modules. This implies
that the numbers of off-diagonal solutions agree with the weight
multiplicities, which is interpreted as a formal completeness of the
U_q(X^{(r)}_N) Bethe ansatz at q=0.
