Generating sets for the Kauffman skein module of a family of Seifert fibered spaces

We study spanning sets for the Kauffman bracket skein module $\mathcal{S}(M,\mathbb{Q}(A))$ of orientable Seifert fibered spaces with orientable base and non-empty boundary. As a consequence, we show that the KBSM of such manifolds is a finitely generated $$\mathcal{S}$(\partial M, $\mathbb{Q}$(A))$-module.