Although there are theoretically 7 trillion possibilities for each of the "A B C D E F" permutations, the characteristics above have narrowed the "A" and "D" permutations to just 13 possibilities, "B" and "E" to just 30 possibilities, and "C" and "F" to just 20 possibilities. The characteristic for "CF" has two singleton cycles, (e) and (z). Those singleton cycles must pair in the individual permutations, so the characteristic for "CF" implies that the "E" and "Z" exchange in both the "C" and "F" permutations.