The task defined by Moffat is not easy to perform. To get into the ideal final conformation the tightening algorithm should be able to break the symmetry of the initial conformation. Figure below presents how the SONO algorithm deals with this problem. Below we present how the is performed by the SONO algorithm. The conformations were tightened separately with the SONO algorithm.
Figure below shows consecutive stages of the knots evolution.
As checked by an additional knot comparing procedure, although differently oriented, the final conformations of the knots are identical.