Entropy function from toric geometry

It has recently been claimed that a Cardy-like limit of the superconformal index 4d N=4 SYM accounts for entropy function, whose Legendre transform corresponds to holographic dual AdS5 rotating black hole. Here we study this N=1 toric quiver gauge theories, observing corresponding function can be interpreted in terms data. Furthermore, some families models, compute comparing with similar results discussed literature.