  We describe all real points of the parameter space of two-generator Kleinian
groups with a parabolic generator, that is, we describe a certain
two-dimensional slice through this space. In order to do this we gather
together known discreteness criteria for two-generator groups and present them
in the form of conditions on parameters. We complete the description by giving
discreteness criteria for groups generated by a parabolic and a
$\pi$-loxodromic elements whose commutator has real trace and present all
orbifolds uniformized by such groups.
