No inputs from free-cycling blind cubers?? IMHO the setup moves for commutator should be intuitive. Listing all cases would be counter-productive ;-)
I guess you would end up with 2 basic cases for setup scenario. The base 3-cycle is done on an outer layer - or the base 3-cycle is done on an inner layer.
Cyclical shifts can be used to find optimal sequences
Per
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Don't forget the power of muscle memory. You may spend excessive time on the setup moves. But after doing it many times over it becomes intuitive. It is stored in your muscle memory!!
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