The invariant derived from Wada's representation is the Alexander polynomial evaluated at t = -1, so the method yields no new invariant.
Wada,Group invariants of links, Topology31(1992), 399–406
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Knot invariants from representations of braids by automorphisms of a free group
The invariant derived from Wada's representation is the Alexander polynomial evaluated at t = -1, so the method yields no new invariant.