We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the
eight vertex model has some eigenvectors which are not eigenvectors of the spin
reflection operator and conjecture a new functional equation for Q(v) which
both contains the Bethe equation that gives the eigenvalues of the transfer
matrix and computes the degeneracies of these eigenvalues.Comment: 12 pages. Final version which will be published in J. Stat. Phy