  The eigenvectors of the Hamiltonian ${\cal H}_{N}$ of $N$-sites quantum spin
chains with elliptic exchange are connected with the double Bloch meromorphic
solutions of the quantum continuous elliptic Calogero-Moser problem. This fact
allows one to find the eigenvectors via the solutions to the system of highly
transcendental equations of Bethe-ansatz type which is presented in explicit
form.
