Kukles revisited: Advances in computing techniques

We revisit the Kukles system to show how advances in computer hardware and software have improved symbolic calculations. We confirm directly that there are no nonpersistent centres for the Kukles system. We also prove an earlier conjecture regarding the isochronous centres for the extended Kukles system. We introduce a technique whereby modular resultants can be used to investigate the properties of resultants that cannot be readily calculated using the existing software.