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Anyone got a reasonable upper or lower bound for slice turn metric? (Clearly, the 20 result gives us a trivial upper bound of 20.) Lower bounds? Here are position count results; these are the easy ones. I'm hoping this table will magically extend itself. First table is exact count at that level:

dist mod M+inv       mod M     positions
 0           1           1             1
 1           4           4            27
 2          13          19           501
 3         150         236          9175
 4        1920        3642        164900
 5       31341       61457       2912447