Abstract
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over ℤ[A±1] localized by inverting all the cyclotomic polynomials. We prove that the skein module is spanned by five elements. Using the quantum invariants of these skein elements and the ℤ2-homology of the manifold, we determine that they are linearly independent.
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