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{We show that the free energy of the three-state  $\tau_2(t_q)$ model can be expressed as products of Jacobi ellipticfunctions, the arguments being those of an hyperelliptic parametrization of theassociated chiral Potts model. This is the first application of such aparametrization to the $N$-state chiral  Potts free energy problem for $N > 2$.Comment: 20 pages, 3 figure

Free energy of the three-state τ 2 ( t q ) model as a product of elliptic functions

Free energy of the three-state τ ₂ ( t _q ) model as a product of elliptic functions