  The multiplicity of a weight $\mu$ in an irreducible representation of a
simple Lie algebra $\mathfrak{g}$ with highest weight $\lambda$ can be computed
via the use of Kostant's weight multiplicity formula. This formula is an
alternating sum over the Weyl group and involves the computation of a partition
function. In this paper we consider a $q$-analog of Kostant's weight
multiplicity and present a SageMath program to compute $q$-multiplicities for
the simple Lie algebras.
