  A model of a quantum dot with impurity in the Lobachevsky plane is
considered. Relying on explicit formulae for the Green function and the Krein
$Q-$function which have been derived in a previous work we focus on the
numerical analysis of the spectrum. The analysis is complicated by the fact
that the basic formulae are expressed in terms of spheroidal functions with
general characteristic exponents. The effect of the curvature on eigenvalues
and eigenfunctions is investigated. Moreover, there is given an asymptotic
expansion of eigenvalues as the curvature radius tends to infinity (the flat
case limit).
