  We consider roots of a generalized Lens polynomial $L(z,\bar z)={\bar z}^m
q(z)-p(z)$ and also harmonically splitting Lens type polynomial $L^{hs}(z,\bar
z)=r(\bar z)q(z)-p(z)$ and with ${\rm deg}\,q(z)=n$, ${\rm deg}\,r(\bar z)=m$
and ${\rm deg}\,p(z)\le n$. We have shown that there exists a harmonically
splitting polynomial $r(\bar z)q(z)-p(z)$ which takes $5n+m-6$ roots, using a
bifurcation family of polynomials. In this note, we show that this number can
be taken by a generalized Lens polynomial ${\bar z}^mq(z)-p(z)$ after a slight
modification of the bifurcation family of a Rhie polynomial.
