  This paper is a next step in the project of systematic description of colored
knot and link invariants started in previous papers. In this paper, we managed
to explicitly find the inclusive Racah matrices, i.e. the whole set of mixing
matrices in channels $R_1\otimes R_2\otimes R_3\longrightarrow Q$ with all
possible $Q$, for $|R|\leq 3$. The calculation is made possible by use of the
highest weight method. The result allows one to evaluate and investigate
colored polynomials for arbitrary 3-strand knots and links and to check the
corresponding eigenvalue conjecture. Explicit answers for Racah matrices and
colored polynomials for 3-strand knots up to 10 crossings are available at
http://knotebook.org. Using the obtained inclusive Racah matrices, we also
calculated the exclusive Racah matrices with the help of trick earlier
suggested in the case of knots. This method is proved to be effective and gives
the exclusive Racah matrices earlier obtained by another method.
