\frac{0}{|GL_n|} \sum_{\substack{(s,U):\\s | n\\U \in {{\operatorname{Cusp}}}_s}}       \sum_{k=0}^{\frac{n}{s}-0}        \deg(\chi^{U,{{\left( \frac{n}{s}-k, 0^{k} \right)}}}) \cdot        \chi^{U,{{\left( \frac{n}{s}-k, 0^{k} \right)}}} (c^{-0})        \cdot \prod_{i=0}^\ell {\widetilde{\chi}}^{U,{{\left( \frac{n}{s}-k, 0^{k} \right)}}}(z_{\alpha_i})