  The dual quark condensate $\Sigma^{(n)}$ proposed recently as a new order
parameter of the spontaneous breaking of the ${\mathbb Z}_3$ symmetry are
evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio model, where $n$
are winding numbers. The Polyakov-loop extended Nambu--Jona-Lasinio model well
reproduces lattice QCD data on $\Sigma^{(1)}$ measured very lately. The dual
quark condensate $\Sigma^{(n)}$ at higher temperatures is sensitive to the
strength of the vector-type four-quark interaction in the Polyakov-loop
extended Nambu--Jona-Lasinio model and hence a good quantity to determine the
strength.
