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Daniel Moskovich
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Quantum E6/E7 knot polynomials

Has anybody seen seen quantum knot invariants associated to (E6, 27) or (E7, 56) worked out in the literature? Even for just simple knots like the trefoil or figure-8?

I suspect these haven't been worked out, but if anybody knows of a reference containing these or even just discussing them, please let me know.