Introduction

2. Two alternative double-step algebraic algorithms for computing characteristic exponents of SS solutions

3. Algebraic formulas for energies of S solutions in the limiting case of the AL potential curves

4. Manifolds of nodeless regular GS solutions for the generic r-GRef potential on the line

5. Algebraic formulas for energies of S solutions in the LTP limit

6. The CTP limit and related nodeless 'Case-I' and 'Case-II' AEH solutions for the Rosen-Morse potential

7. Conclusions and further developments