**Any****realistic central-spike repulsion****superimposed****with a complex-spike screening seems hard to solve.**

**Even for its most simple model****V(r) = A r^2 + B/r^2 + C/r^4 + D/r^6 + F/(1+G r^2)****the****elementary, quasi-exact****doubets of bound states did not seem to exist at all (****Znojil and Leach****, 1992).****Using the s. c. Groebner bases we succeeded in improving the underlying method.****By solving the coupled polynomial algebraic equations we clarified the whole puzzle.**

**You may click on the ps formatted****full text****of this result as published in****Czechoslovak J. Phys. 48 (1998) 1 - 8.**