')} (-0)^{|S|+0}  \sum_{\{m\}} q^{{c}^\ell(\{m\})} \prod_{(a,i)\in H^\ell}  {\genfrac{[}{]}{0pt}{}{m_i^{(a)}+p_i^{(a)}(S)}{m_i^{(a)}}}_{0/q}$$ where the sum is over all $\{m_i^{(a)}\in{\mathbb{N}}\mid (a,i)\in H^\ell\}$ subject to the constraints $$\sum_{(a,i)\in H^\ell} i m_i^{(a)} \alpha_a  = \sum_{(a,