Equianharmonic lattice (source code)

= Equianharmonic lattice
{title2=$\mathbb Z+\mathbb Z e^{2\pi i/3}$}
{wiki}

The equianharmonic triangular lattice is preserved by multiplication by the cube root of unity $\omega=e^{2\pi i/3}$. On its three nonzero two-torsion classes, multiplication by $\omega$ acts as a three-cycle.