New conjecture for the $SU_q(N)$ Perk-Schultz models
  We present a new conjecture for the $SU_q(N)$ Perk-Schultz models. This conjecture extends a conjecture presented in our article (Alcaraz FC and Stroganov YuG (2002) J. Phys. A vol. 35 pg. 6767-6787, and also in cond-mat/0204074). 
F. C. Alcaraz and Yu. G. Stroganov