M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

We construct multi-charged $Ad{S}_3\times \mathrm{\Sigma }\times {\mathrm{\Sigma }}_{\mathfrak{g}}$ and $Ad{S}_2\times \mathrm{\Sigma }\times {\mathrm{\Sigma }}_{\mathfrak{g}}$ solutions from M5-branes and D4-branes wrapped on a direct product of spindle, $\mathrm{\Sigma }$, and Riemann surface, ${\mathrm{\Sigma }}_{\mathfrak{g}}$. Employing uplift formula, we obtain these solutions by uplifting the multi-charged $Ad{S}_3\times \mathrm{\Sigma }$ and $Ad{S}_2\times \mathrm{\Sigma }$ solutions to seven and six dimensions, respectively. We further uplift the solutions to eleven-dimensional and massive type IIA supergravity and calculate the holographic central charge and the Bekenstein-Hawking entropy, respectively. We perform the gravitational block calculations and, for the $Ad{S}_3\times \mathrm{\Sigma }\times {\mathrm{\Sigma }}_{\mathfrak{g}}$ solutions, the result precisely matches the holographic central charge from the supergravity solutions.