Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation

We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group $S_n$. We assume that parameter $\rho =\pm 1$. In previous paper we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.