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[en] The periodic -Belavin model on a lattice with an arbitrary number of sites N is studied via the off-diagonal Bethe Ansatz method (ODBA). The eigenvalues of the corresponding transfer matrix are given in terms of an unified inhomogeneous relation. In the special case of with l being also a positive integer, the resulting relation recovers the homogeneous one previously obtained via algebraic Bethe Ansatz.
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