We generalize several results on Chern-Simons models on Σ × S 1 in the so-called "torus gauge" which were obtained in [33] (= arXiv:math-ph/0507040) to the case of general (simply-connected simple compact) structure groups and general link colorings. In particular, we give a non-perturbative evaluation of the Wilson loop observables corresponding to a special class of simple but non-trivial links and show that their values are given by Turaev's shadow invariant. As a byproduct we obtain a

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... tic path integral derivation of the quantum Racah formula. 1 in fact, the approach in [45, 44, 52] is more general, cf. Remark 2 below