The original KR character formula for nonexceptional quantum affine algebras

Let $X_N^{(r)}\neq A_{2n}^{(2)}$, let $\Delta_+^{\mathfrak{g}_0}$ be the positive roots of $\mathfrak{g}_0$, and let $\mathcal{Q}^{\nu}(y)$ and $\mathcal{K}^{\nu}_{D,G}(y)$ be the normalized KR-character product and associated power series. Let $W_m^{(a)}(\zeta_m^{(a)})$ be KR modules with arbitrary parameters. Original KR conjecture. The formula

$$\mathcal{Q}^{\nu}(y)=\frac{\mathcal{K}^{\nu}_{D,G}(y)}{\displaystyle\prod_{\alpha\in\Delta_+^{\mathfrak{g}_0}}(1-e^{-\alpha})}$$

should hold; consequently, $\mathcal{K}^{\nu}_{D,G}(y)$ should be a polynomial whose coefficients are the multiplicities of the $\mathfrak{g}_0$-irreducible components of $\bigotimes_{(a,m)\in H}W_m^{(a)}(\zeta_m^{(a)})^{\otimes\nu_m^{(a)}}$. This is the original formulation for the stated nonexceptional case and remains open in the supplied text.