\[\frac{A^{2n}_{2m}(q)}{A^{2n}_{0}(q)}=\frac{(-1)^{m}}{(m!)^{2}}\left(\frac{q}{4%
}\right)^{m}\frac{\pi\left(1+O\left(m^{-1}\right)\right)}{w_{\mbox{\tiny II}}(%
\frac{1}{2}\pi;a_{2n}\left(q\right),q)},\]