Fundamental shadow links realized as links in S3

We use purely topological tools to construct several infinite families of hyperbolic links in the 3-sphere that satisfy Turaev-Viro invariant volume conjecture posed by Chen and Yang. To show our conjecture, we prove each has complement homeomorphic a fundamental shadow link. These are connected sums copies $S^2 \times S^1$ for which is known due Belletti, Detcherry, Kalfagianni, Our methods also verify with crossing number less than twelve. In addition, every link $3$-sphere sublink satisfies conjecture. As an application results, extend class examples AMU on quantum representations surface mapping groups. For example, give explicit elements group genus $g$ four boundary components any $g$. this, techniques developed Detcherry Kalfagianni relate