  We consider a certain mixed polynomial which is an extended Lens equation
$L_{n,m}=\bar z^m-p(z)/q(z)$ with $\text{degree}\, q=n$, $\text{degree}\, p<n$
whose numerator is a mixed polynomial of degree $(n+m;n,m)$. Then we consider
its deformation of type $L_{n,m}+\epsilon/z^m$ to construct a special mixed
polynomial of degree $(n+2m;n+m,m)$ with $5n$ zeros. This generalizes an
example of Rhie. We give an application to the number of connected components
of the moduli space of strongly mixed weighted homogeneous polynomials of two
variables with isolated singularity at the origin.
