q=2: |PSL|=6 classes=3 mu(PSL)=2 minimal s=3 (lcm of cycle lengths 1); witness re-iterated: tail=2 period=1; q even: SL = PSL  [0.0s]
q=3: |PSL|=12 classes=4 mu(PSL)=2 minimal s=5 (lcm of cycle lengths 3); witness re-iterated: tail=2 period=1; |SL|=24 classes=7 mu(SL)=3 minimal s(SL)=6  [0.0s]
