Abstract
The invariant tangles for Murakami's coloured solution (1990) of braid relations are explicitly calculated in terms of the Kauffman-Saleur fermionic integral (1991). A more general coloured solution R(c1,c2) of braid group representation is obtained. The authors verify that such R(c1,c2) satisfies all the redundant conditions presented by Murakami. They thus derive invariant Alexander link polynomials for the new coloured solution.
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