  PT-symmetric potentials $V({x}) = -{x}^4 +\j B {x}^3 + C {x}^2+\j D {x} +\j
F/{x} +G/{x}^2$ are quasi-exactly solvable, i.e., a specific choice of a small
$G=G^{(QES)}= integer/4$ is known to lead to wave functions $\psi^{(QES)}(x)$
in closed form at certain charges $F=F^{(QES)}$ and energies $E=E^{(QES)}$. The
existence of an alternative, simpler and non-numerical version of such a
construction is announced here in the new dynamical regime of very large
$G^{(QES)} \to \infty$.
