Axially equivariant monomial rational map
= Axially equivariant monomial rational map
{title2=$R(z)=z^n$}
For positive integer $n$, $R(e^{i\alpha}z)=e^{in\alpha}R(z)$ and $R(1/z)=1/R(z)$. For $n>1$ its <angular Jacobian of a rational map> vanishes at the poles and has axial symmetry. Its combined rotational group is the group of <rotations preserving an axis>; for $n=1$ it enlarges to all domain rotations paired with identical target rotations.