  We show the generic non-extremal Kerr-Newman-NUT-AdS black holes are
holographically dual to the hidden conformal field theories in two different
pictures. The two pictures can be merged together to the dual CFTs in general
picture, that are generated by the $SL(2,\mathbb{Z})$ modular group. We also
extend the calculation to the extremal limit and find the corresponding
quantities. Using the extended central charges from the Kerr/CFT
correspondence, we also find agreement between the macroscopic and microscopic
entropies. We also find the absorption cross-section of the scalar probes for
the generic and extremal Kerr-Newman-NUT-AdS black holes, to further support
the different dual CFTs to the black holes.
