edit this statistic or download as text // json
Identifier
Values
=>
[1]=>1 [1,2]=>1 [2,1]=>2 [1,2,3]=>1 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>3 [3,1,2]=>3 [3,2,1]=>2 [1,2,3,4]=>1 [1,2,4,3]=>2 [1,3,2,4]=>2 [1,3,4,2]=>3 [1,4,2,3]=>3 [1,4,3,2]=>2 [2,1,3,4]=>2 [2,1,4,3]=>2 [2,3,1,4]=>3 [2,3,4,1]=>4 [2,4,1,3]=>4 [2,4,3,1]=>3 [3,1,2,4]=>3 [3,1,4,2]=>4 [3,2,1,4]=>2 [3,2,4,1]=>3 [3,4,1,2]=>2 [3,4,2,1]=>4 [4,1,2,3]=>4 [4,1,3,2]=>3 [4,2,1,3]=>3 [4,2,3,1]=>2 [4,3,1,2]=>4 [4,3,2,1]=>2 [1,2,3,4,5]=>1 [1,2,3,5,4]=>2 [1,2,4,3,5]=>2 [1,2,4,5,3]=>3 [1,2,5,3,4]=>3 [1,2,5,4,3]=>2 [1,3,2,4,5]=>2 [1,3,2,5,4]=>2 [1,3,4,2,5]=>3 [1,3,4,5,2]=>4 [1,3,5,2,4]=>4 [1,3,5,4,2]=>3 [1,4,2,3,5]=>3 [1,4,2,5,3]=>4 [1,4,3,2,5]=>2 [1,4,3,5,2]=>3 [1,4,5,2,3]=>2 [1,4,5,3,2]=>4 [1,5,2,3,4]=>4 [1,5,2,4,3]=>3 [1,5,3,2,4]=>3 [1,5,3,4,2]=>2 [1,5,4,2,3]=>4 [1,5,4,3,2]=>2 [2,1,3,4,5]=>2 [2,1,3,5,4]=>2 [2,1,4,3,5]=>2 [2,1,4,5,3]=>6 [2,1,5,3,4]=>6 [2,1,5,4,3]=>2 [2,3,1,4,5]=>3 [2,3,1,5,4]=>6 [2,3,4,1,5]=>4 [2,3,4,5,1]=>5 [2,3,5,1,4]=>5 [2,3,5,4,1]=>4 [2,4,1,3,5]=>4 [2,4,1,5,3]=>5 [2,4,3,1,5]=>3 [2,4,3,5,1]=>4 [2,4,5,1,3]=>6 [2,4,5,3,1]=>5 [2,5,1,3,4]=>5 [2,5,1,4,3]=>4 [2,5,3,1,4]=>4 [2,5,3,4,1]=>3 [2,5,4,1,3]=>5 [2,5,4,3,1]=>6 [3,1,2,4,5]=>3 [3,1,2,5,4]=>6 [3,1,4,2,5]=>4 [3,1,4,5,2]=>5 [3,1,5,2,4]=>5 [3,1,5,4,2]=>4 [3,2,1,4,5]=>2 [3,2,1,5,4]=>2 [3,2,4,1,5]=>3 [3,2,4,5,1]=>4 [3,2,5,1,4]=>4 [3,2,5,4,1]=>3 [3,4,1,2,5]=>2 [3,4,1,5,2]=>6 [3,4,2,1,5]=>4 [3,4,2,5,1]=>5 [3,4,5,1,2]=>5 [3,4,5,2,1]=>6 [3,5,1,2,4]=>6 [3,5,1,4,2]=>2 [3,5,2,1,4]=>5 [3,5,2,4,1]=>4 [3,5,4,1,2]=>6 [3,5,4,2,1]=>5 [4,1,2,3,5]=>4 [4,1,2,5,3]=>5 [4,1,3,2,5]=>3 [4,1,3,5,2]=>4 [4,1,5,2,3]=>6 [4,1,5,3,2]=>5 [4,2,1,3,5]=>3 [4,2,1,5,3]=>4 [4,2,3,1,5]=>2 [4,2,3,5,1]=>3 [4,2,5,1,3]=>2 [4,2,5,3,1]=>4 [4,3,1,2,5]=>4 [4,3,1,5,2]=>5 [4,3,2,1,5]=>2 [4,3,2,5,1]=>6 [4,3,5,1,2]=>6 [4,3,5,2,1]=>5 [4,5,1,2,3]=>5 [4,5,1,3,2]=>6 [4,5,2,1,3]=>6 [4,5,2,3,1]=>5 [4,5,3,1,2]=>2 [4,5,3,2,1]=>4 [5,1,2,3,4]=>5 [5,1,2,4,3]=>4 [5,1,3,2,4]=>4 [5,1,3,4,2]=>3 [5,1,4,2,3]=>5 [5,1,4,3,2]=>6 [5,2,1,3,4]=>4 [5,2,1,4,3]=>3 [5,2,3,1,4]=>3 [5,2,3,4,1]=>2 [5,2,4,1,3]=>4 [5,2,4,3,1]=>2 [5,3,1,2,4]=>5 [5,3,1,4,2]=>4 [5,3,2,1,4]=>6 [5,3,2,4,1]=>2 [5,3,4,1,2]=>5 [5,3,4,2,1]=>6 [5,4,1,2,3]=>6 [5,4,1,3,2]=>5 [5,4,2,1,3]=>5 [5,4,2,3,1]=>6 [5,4,3,1,2]=>4 [5,4,3,2,1]=>2 [1,2,3,4,5,6]=>1 [1,2,3,4,6,5]=>2 [1,2,3,5,4,6]=>2 [1,2,3,5,6,4]=>3 [1,2,3,6,4,5]=>3 [1,2,3,6,5,4]=>2 [1,2,4,3,5,6]=>2 [1,2,4,3,6,5]=>2 [1,2,4,5,3,6]=>3 [1,2,4,5,6,3]=>4 [1,2,4,6,3,5]=>4 [1,2,4,6,5,3]=>3 [1,2,5,3,4,6]=>3 [1,2,5,3,6,4]=>4 [1,2,5,4,3,6]=>2 [1,2,5,4,6,3]=>3 [1,2,5,6,3,4]=>2 [1,2,5,6,4,3]=>4 [1,2,6,3,4,5]=>4 [1,2,6,3,5,4]=>3 [1,2,6,4,3,5]=>3 [1,2,6,4,5,3]=>2 [1,2,6,5,3,4]=>4 [1,2,6,5,4,3]=>2 [1,3,2,4,5,6]=>2 [1,3,2,4,6,5]=>2 [1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>6 [1,3,2,6,4,5]=>6 [1,3,2,6,5,4]=>2 [1,3,4,2,5,6]=>3 [1,3,4,2,6,5]=>6 [1,3,4,5,2,6]=>4 [1,3,4,5,6,2]=>5 [1,3,4,6,2,5]=>5 [1,3,4,6,5,2]=>4 [1,3,5,2,4,6]=>4 [1,3,5,2,6,4]=>5 [1,3,5,4,2,6]=>3 [1,3,5,4,6,2]=>4 [1,3,5,6,2,4]=>6 [1,3,5,6,4,2]=>5 [1,3,6,2,4,5]=>5 [1,3,6,2,5,4]=>4 [1,3,6,4,2,5]=>4 [1,3,6,4,5,2]=>3 [1,3,6,5,2,4]=>5 [1,3,6,5,4,2]=>6 [1,4,2,3,5,6]=>3 [1,4,2,3,6,5]=>6 [1,4,2,5,3,6]=>4 [1,4,2,5,6,3]=>5 [1,4,2,6,3,5]=>5 [1,4,2,6,5,3]=>4 [1,4,3,2,5,6]=>2 [1,4,3,2,6,5]=>2 [1,4,3,5,2,6]=>3 [1,4,3,5,6,2]=>4 [1,4,3,6,2,5]=>4 [1,4,3,6,5,2]=>3 [1,4,5,2,3,6]=>2 [1,4,5,2,6,3]=>6 [1,4,5,3,2,6]=>4 [1,4,5,3,6,2]=>5 [1,4,5,6,2,3]=>5 [1,4,5,6,3,2]=>6 [1,4,6,2,3,5]=>6 [1,4,6,2,5,3]=>2 [1,4,6,3,2,5]=>5 [1,4,6,3,5,2]=>4 [1,4,6,5,2,3]=>6 [1,4,6,5,3,2]=>5 [1,5,2,3,4,6]=>4 [1,5,2,3,6,4]=>5 [1,5,2,4,3,6]=>3 [1,5,2,4,6,3]=>4 [1,5,2,6,3,4]=>6 [1,5,2,6,4,3]=>5 [1,5,3,2,4,6]=>3 [1,5,3,2,6,4]=>4 [1,5,3,4,2,6]=>2 [1,5,3,4,6,2]=>3 [1,5,3,6,2,4]=>2 [1,5,3,6,4,2]=>4 [1,5,4,2,3,6]=>4 [1,5,4,2,6,3]=>5 [1,5,4,3,2,6]=>2 [1,5,4,3,6,2]=>6 [1,5,4,6,2,3]=>6 [1,5,4,6,3,2]=>5 [1,5,6,2,3,4]=>5 [1,5,6,2,4,3]=>6 [1,5,6,3,2,4]=>6 [1,5,6,3,4,2]=>5 [1,5,6,4,2,3]=>2 [1,5,6,4,3,2]=>4 [1,6,2,3,4,5]=>5 [1,6,2,3,5,4]=>4 [1,6,2,4,3,5]=>4 [1,6,2,4,5,3]=>3 [1,6,2,5,3,4]=>5 [1,6,2,5,4,3]=>6 [1,6,3,2,4,5]=>4 [1,6,3,2,5,4]=>3 [1,6,3,4,2,5]=>3 [1,6,3,4,5,2]=>2 [1,6,3,5,2,4]=>4 [1,6,3,5,4,2]=>2 [1,6,4,2,3,5]=>5 [1,6,4,2,5,3]=>4 [1,6,4,3,2,5]=>6 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>5 [1,6,4,5,3,2]=>6 [1,6,5,2,3,4]=>6 [1,6,5,2,4,3]=>5 [1,6,5,3,2,4]=>5 [1,6,5,3,4,2]=>6 [1,6,5,4,2,3]=>4 [1,6,5,4,3,2]=>2 [2,1,3,4,5,6]=>2 [2,1,3,4,6,5]=>2 [2,1,3,5,4,6]=>2 [2,1,3,5,6,4]=>6 [2,1,3,6,4,5]=>6 [2,1,3,6,5,4]=>2 [2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>2 [2,1,4,5,3,6]=>6 [2,1,4,5,6,3]=>4 [2,1,4,6,3,5]=>4 [2,1,4,6,5,3]=>6 [2,1,5,3,4,6]=>6 [2,1,5,3,6,4]=>4 [2,1,5,4,3,6]=>2 [2,1,5,4,6,3]=>6 [2,1,5,6,3,4]=>2 [2,1,5,6,4,3]=>4 [2,1,6,3,4,5]=>4 [2,1,6,3,5,4]=>6 [2,1,6,4,3,5]=>6 [2,1,6,4,5,3]=>2 [2,1,6,5,3,4]=>4 [2,1,6,5,4,3]=>2 [2,3,1,4,5,6]=>3 [2,3,1,4,6,5]=>6 [2,3,1,5,4,6]=>6 [2,3,1,5,6,4]=>3 [2,3,1,6,4,5]=>3 [2,3,1,6,5,4]=>6 [2,3,4,1,5,6]=>4 [2,3,4,1,6,5]=>4 [2,3,4,5,1,6]=>5 [2,3,4,5,6,1]=>6 [2,3,4,6,1,5]=>6 [2,3,4,6,5,1]=>5 [2,3,5,1,4,6]=>5 [2,3,5,1,6,4]=>6 [2,3,5,4,1,6]=>4 [2,3,5,4,6,1]=>5 [2,3,5,6,1,4]=>4 [2,3,5,6,4,1]=>6 [2,3,6,1,4,5]=>6 [2,3,6,1,5,4]=>5 [2,3,6,4,1,5]=>5 [2,3,6,4,5,1]=>4 [2,3,6,5,1,4]=>6 [2,3,6,5,4,1]=>4 [2,4,1,3,5,6]=>4 [2,4,1,3,6,5]=>4 [2,4,1,5,3,6]=>5 [2,4,1,5,6,3]=>6 [2,4,1,6,3,5]=>6 [2,4,1,6,5,3]=>5 [2,4,3,1,5,6]=>3 [2,4,3,1,6,5]=>6 [2,4,3,5,1,6]=>4 [2,4,3,5,6,1]=>5 [2,4,3,6,1,5]=>5 [2,4,3,6,5,1]=>4 [2,4,5,1,3,6]=>6 [2,4,5,1,6,3]=>3 [2,4,5,3,1,6]=>5 [2,4,5,3,6,1]=>6 [2,4,5,6,1,3]=>6 [2,4,5,6,3,1]=>4 [2,4,6,1,3,5]=>3 [2,4,6,1,5,3]=>6 [2,4,6,3,1,5]=>6 [2,4,6,3,5,1]=>5 [2,4,6,5,1,3]=>4 [2,4,6,5,3,1]=>6 [2,5,1,3,4,6]=>5 [2,5,1,3,6,4]=>6 [2,5,1,4,3,6]=>4 [2,5,1,4,6,3]=>5 [2,5,1,6,3,4]=>4 [2,5,1,6,4,3]=>6 [2,5,3,1,4,6]=>4 [2,5,3,1,6,4]=>5 [2,5,3,4,1,6]=>3 [2,5,3,4,6,1]=>4 [2,5,3,6,1,4]=>6 [2,5,3,6,4,1]=>5 [2,5,4,1,3,6]=>5 [2,5,4,1,6,3]=>6 [2,5,4,3,1,6]=>6 [2,5,4,3,6,1]=>4 [2,5,4,6,1,3]=>3 [2,5,4,6,3,1]=>6 [2,5,6,1,3,4]=>6 [2,5,6,1,4,3]=>4 [2,5,6,3,1,4]=>3 [2,5,6,3,4,1]=>6 [2,5,6,4,1,3]=>6 [2,5,6,4,3,1]=>5 [2,6,1,3,4,5]=>6 [2,6,1,3,5,4]=>5 [2,6,1,4,3,5]=>5 [2,6,1,4,5,3]=>4 [2,6,1,5,3,4]=>6 [2,6,1,5,4,3]=>4 [2,6,3,1,4,5]=>5 [2,6,3,1,5,4]=>4 [2,6,3,4,1,5]=>4 [2,6,3,4,5,1]=>3 [2,6,3,5,1,4]=>5 [2,6,3,5,4,1]=>6 [2,6,4,1,3,5]=>6 [2,6,4,1,5,3]=>5 [2,6,4,3,1,5]=>4 [2,6,4,3,5,1]=>6 [2,6,4,5,1,3]=>6 [2,6,4,5,3,1]=>3 [2,6,5,1,3,4]=>4 [2,6,5,1,4,3]=>6 [2,6,5,3,1,4]=>6 [2,6,5,3,4,1]=>3 [2,6,5,4,1,3]=>5 [2,6,5,4,3,1]=>6 [3,1,2,4,5,6]=>3 [3,1,2,4,6,5]=>6 [3,1,2,5,4,6]=>6 [3,1,2,5,6,4]=>3 [3,1,2,6,4,5]=>3 [3,1,2,6,5,4]=>6 [3,1,4,2,5,6]=>4 [3,1,4,2,6,5]=>4 [3,1,4,5,2,6]=>5 [3,1,4,5,6,2]=>6 [3,1,4,6,2,5]=>6 [3,1,4,6,5,2]=>5 [3,1,5,2,4,6]=>5 [3,1,5,2,6,4]=>6 [3,1,5,4,2,6]=>4 [3,1,5,4,6,2]=>5 [3,1,5,6,2,4]=>4 [3,1,5,6,4,2]=>6 [3,1,6,2,4,5]=>6 [3,1,6,2,5,4]=>5 [3,1,6,4,2,5]=>5 [3,1,6,4,5,2]=>4 [3,1,6,5,2,4]=>6 [3,1,6,5,4,2]=>4 [3,2,1,4,5,6]=>2 [3,2,1,4,6,5]=>2 [3,2,1,5,4,6]=>2 [3,2,1,5,6,4]=>6 [3,2,1,6,4,5]=>6 [3,2,1,6,5,4]=>2 [3,2,4,1,5,6]=>3 [3,2,4,1,6,5]=>6 [3,2,4,5,1,6]=>4 [3,2,4,5,6,1]=>5 [3,2,4,6,1,5]=>5 [3,2,4,6,5,1]=>4 [3,2,5,1,4,6]=>4 [3,2,5,1,6,4]=>5 [3,2,5,4,1,6]=>3 [3,2,5,4,6,1]=>4 [3,2,5,6,1,4]=>6 [3,2,5,6,4,1]=>5 [3,2,6,1,4,5]=>5 [3,2,6,1,5,4]=>4 [3,2,6,4,1,5]=>4 [3,2,6,4,5,1]=>3 [3,2,6,5,1,4]=>5 [3,2,6,5,4,1]=>6 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>2 [3,4,1,5,2,6]=>6 [3,4,1,5,6,2]=>4 [3,4,1,6,2,5]=>4 [3,4,1,6,5,2]=>6 [3,4,2,1,5,6]=>4 [3,4,2,1,6,5]=>4 [3,4,2,5,1,6]=>5 [3,4,2,5,6,1]=>6 [3,4,2,6,1,5]=>6 [3,4,2,6,5,1]=>5 [3,4,5,1,2,6]=>5 [3,4,5,1,6,2]=>6 [3,4,5,2,1,6]=>6 [3,4,5,2,6,1]=>4 [3,4,5,6,1,2]=>3 [3,4,5,6,2,1]=>6 [3,4,6,1,2,5]=>6 [3,4,6,1,5,2]=>5 [3,4,6,2,1,5]=>4 [3,4,6,2,5,1]=>6 [3,4,6,5,1,2]=>6 [3,4,6,5,2,1]=>3 [3,5,1,2,4,6]=>6 [3,5,1,2,6,4]=>4 [3,5,1,4,2,6]=>2 [3,5,1,4,6,2]=>6 [3,5,1,6,2,4]=>2 [3,5,1,6,4,2]=>4 [3,5,2,1,4,6]=>5 [3,5,2,1,6,4]=>6 [3,5,2,4,1,6]=>4 [3,5,2,4,6,1]=>5 [3,5,2,6,1,4]=>4 [3,5,2,6,4,1]=>6 [3,5,4,1,2,6]=>6 [3,5,4,1,6,2]=>3 [3,5,4,2,1,6]=>5 [3,5,4,2,6,1]=>6 [3,5,4,6,1,2]=>6 [3,5,4,6,2,1]=>4 [3,5,6,1,2,4]=>4 [3,5,6,1,4,2]=>6 [3,5,6,2,1,4]=>6 [3,5,6,2,4,1]=>3 [3,5,6,4,1,2]=>5 [3,5,6,4,2,1]=>6 [3,6,1,2,4,5]=>4 [3,6,1,2,5,4]=>6 [3,6,1,4,2,5]=>6 [3,6,1,4,5,2]=>2 [3,6,1,5,2,4]=>4 [3,6,1,5,4,2]=>2 [3,6,2,1,4,5]=>6 [3,6,2,1,5,4]=>5 [3,6,2,4,1,5]=>5 [3,6,2,4,5,1]=>4 [3,6,2,5,1,4]=>6 [3,6,2,5,4,1]=>4 [3,6,4,1,2,5]=>3 [3,6,4,1,5,2]=>6 [3,6,4,2,1,5]=>6 [3,6,4,2,5,1]=>5 [3,6,4,5,1,2]=>4 [3,6,4,5,2,1]=>6 [3,6,5,1,2,4]=>6 [3,6,5,1,4,2]=>4 [3,6,5,2,1,4]=>3 [3,6,5,2,4,1]=>6 [3,6,5,4,1,2]=>6 [3,6,5,4,2,1]=>5 [4,1,2,3,5,6]=>4 [4,1,2,3,6,5]=>4 [4,1,2,5,3,6]=>5 [4,1,2,5,6,3]=>6 [4,1,2,6,3,5]=>6 [4,1,2,6,5,3]=>5 [4,1,3,2,5,6]=>3 [4,1,3,2,6,5]=>6 [4,1,3,5,2,6]=>4 [4,1,3,5,6,2]=>5 [4,1,3,6,2,5]=>5 [4,1,3,6,5,2]=>4 [4,1,5,2,3,6]=>6 [4,1,5,2,6,3]=>3 [4,1,5,3,2,6]=>5 [4,1,5,3,6,2]=>6 [4,1,5,6,2,3]=>6 [4,1,5,6,3,2]=>4 [4,1,6,2,3,5]=>3 [4,1,6,2,5,3]=>6 [4,1,6,3,2,5]=>6 [4,1,6,3,5,2]=>5 [4,1,6,5,2,3]=>4 [4,1,6,5,3,2]=>6 [4,2,1,3,5,6]=>3 [4,2,1,3,6,5]=>6 [4,2,1,5,3,6]=>4 [4,2,1,5,6,3]=>5 [4,2,1,6,3,5]=>5 [4,2,1,6,5,3]=>4 [4,2,3,1,5,6]=>2 [4,2,3,1,6,5]=>2 [4,2,3,5,1,6]=>3 [4,2,3,5,6,1]=>4 [4,2,3,6,1,5]=>4 [4,2,3,6,5,1]=>3 [4,2,5,1,3,6]=>2 [4,2,5,1,6,3]=>6 [4,2,5,3,1,6]=>4 [4,2,5,3,6,1]=>5 [4,2,5,6,1,3]=>5 [4,2,5,6,3,1]=>6 [4,2,6,1,3,5]=>6 [4,2,6,1,5,3]=>2 [4,2,6,3,1,5]=>5 [4,2,6,3,5,1]=>4 [4,2,6,5,1,3]=>6 [4,2,6,5,3,1]=>5 [4,3,1,2,5,6]=>4 [4,3,1,2,6,5]=>4 [4,3,1,5,2,6]=>5 [4,3,1,5,6,2]=>6 [4,3,1,6,2,5]=>6 [4,3,1,6,5,2]=>5 [4,3,2,1,5,6]=>2 [4,3,2,1,6,5]=>2 [4,3,2,5,1,6]=>6 [4,3,2,5,6,1]=>4 [4,3,2,6,1,5]=>4 [4,3,2,6,5,1]=>6 [4,3,5,1,2,6]=>6 [4,3,5,1,6,2]=>4 [4,3,5,2,1,6]=>5 [4,3,5,2,6,1]=>6 [4,3,5,6,1,2]=>6 [4,3,5,6,2,1]=>3 [4,3,6,1,2,5]=>4 [4,3,6,1,5,2]=>6 [4,3,6,2,1,5]=>6 [4,3,6,2,5,1]=>5 [4,3,6,5,1,2]=>3 [4,3,6,5,2,1]=>6 [4,5,1,2,3,6]=>5 [4,5,1,2,6,3]=>6 [4,5,1,3,2,6]=>6 [4,5,1,3,6,2]=>3 [4,5,1,6,2,3]=>4 [4,5,1,6,3,2]=>6 [4,5,2,1,3,6]=>6 [4,5,2,1,6,3]=>4 [4,5,2,3,1,6]=>5 [4,5,2,3,6,1]=>6 [4,5,2,6,1,3]=>6 [4,5,2,6,3,1]=>3 [4,5,3,1,2,6]=>2 [4,5,3,1,6,2]=>6 [4,5,3,2,1,6]=>4 [4,5,3,2,6,1]=>5 [4,5,3,6,1,2]=>5 [4,5,3,6,2,1]=>6 [4,5,6,1,2,3]=>2 [4,5,6,1,3,2]=>4 [4,5,6,2,1,3]=>4 [4,5,6,2,3,1]=>6 [4,5,6,3,1,2]=>6 [4,5,6,3,2,1]=>4 [4,6,1,2,3,5]=>6 [4,6,1,2,5,3]=>5 [4,6,1,3,2,5]=>3 [4,6,1,3,5,2]=>6 [4,6,1,5,2,3]=>6 [4,6,1,5,3,2]=>4 [4,6,2,1,3,5]=>4 [4,6,2,1,5,3]=>6 [4,6,2,3,1,5]=>6 [4,6,2,3,5,1]=>5 [4,6,2,5,1,3]=>3 [4,6,2,5,3,1]=>6 [4,6,3,1,2,5]=>6 [4,6,3,1,5,2]=>2 [4,6,3,2,1,5]=>5 [4,6,3,2,5,1]=>4 [4,6,3,5,1,2]=>6 [4,6,3,5,2,1]=>5 [4,6,5,1,2,3]=>4 [4,6,5,1,3,2]=>2 [4,6,5,2,1,3]=>6 [4,6,5,2,3,1]=>4 [4,6,5,3,1,2]=>4 [4,6,5,3,2,1]=>6 [5,1,2,3,4,6]=>5 [5,1,2,3,6,4]=>6 [5,1,2,4,3,6]=>4 [5,1,2,4,6,3]=>5 [5,1,2,6,3,4]=>4 [5,1,2,6,4,3]=>6 [5,1,3,2,4,6]=>4 [5,1,3,2,6,4]=>5 [5,1,3,4,2,6]=>3 [5,1,3,4,6,2]=>4 [5,1,3,6,2,4]=>6 [5,1,3,6,4,2]=>5 [5,1,4,2,3,6]=>5 [5,1,4,2,6,3]=>6 [5,1,4,3,2,6]=>6 [5,1,4,3,6,2]=>4 [5,1,4,6,2,3]=>3 [5,1,4,6,3,2]=>6 [5,1,6,2,3,4]=>6 [5,1,6,2,4,3]=>4 [5,1,6,3,2,4]=>3 [5,1,6,3,4,2]=>6 [5,1,6,4,2,3]=>6 [5,1,6,4,3,2]=>5 [5,2,1,3,4,6]=>4 [5,2,1,3,6,4]=>5 [5,2,1,4,3,6]=>3 [5,2,1,4,6,3]=>4 [5,2,1,6,3,4]=>6 [5,2,1,6,4,3]=>5 [5,2,3,1,4,6]=>3 [5,2,3,1,6,4]=>4 [5,2,3,4,1,6]=>2 [5,2,3,4,6,1]=>3 [5,2,3,6,1,4]=>2 [5,2,3,6,4,1]=>4 [5,2,4,1,3,6]=>4 [5,2,4,1,6,3]=>5 [5,2,4,3,1,6]=>2 [5,2,4,3,6,1]=>6 [5,2,4,6,1,3]=>6 [5,2,4,6,3,1]=>5 [5,2,6,1,3,4]=>5 [5,2,6,1,4,3]=>6 [5,2,6,3,1,4]=>6 [5,2,6,3,4,1]=>5 [5,2,6,4,1,3]=>2 [5,2,6,4,3,1]=>4 [5,3,1,2,4,6]=>5 [5,3,1,2,6,4]=>6 [5,3,1,4,2,6]=>4 [5,3,1,4,6,2]=>5 [5,3,1,6,2,4]=>4 [5,3,1,6,4,2]=>6 [5,3,2,1,4,6]=>6 [5,3,2,1,6,4]=>4 [5,3,2,4,1,6]=>2 [5,3,2,4,6,1]=>6 [5,3,2,6,1,4]=>2 [5,3,2,6,4,1]=>4 [5,3,4,1,2,6]=>5 [5,3,4,1,6,2]=>6 [5,3,4,2,1,6]=>6 [5,3,4,2,6,1]=>3 [5,3,4,6,1,2]=>4 [5,3,4,6,2,1]=>6 [5,3,6,1,2,4]=>6 [5,3,6,1,4,2]=>3 [5,3,6,2,1,4]=>4 [5,3,6,2,4,1]=>6 [5,3,6,4,1,2]=>6 [5,3,6,4,2,1]=>5 [5,4,1,2,3,6]=>6 [5,4,1,2,6,3]=>4 [5,4,1,3,2,6]=>5 [5,4,1,3,6,2]=>6 [5,4,1,6,2,3]=>6 [5,4,1,6,3,2]=>3 [5,4,2,1,3,6]=>5 [5,4,2,1,6,3]=>6 [5,4,2,3,1,6]=>6 [5,4,2,3,6,1]=>3 [5,4,2,6,1,3]=>4 [5,4,2,6,3,1]=>6 [5,4,3,1,2,6]=>4 [5,4,3,1,6,2]=>5 [5,4,3,2,1,6]=>2 [5,4,3,2,6,1]=>6 [5,4,3,6,1,2]=>6 [5,4,3,6,2,1]=>5 [5,4,6,1,2,3]=>4 [5,4,6,1,3,2]=>6 [5,4,6,2,1,3]=>2 [5,4,6,2,3,1]=>4 [5,4,6,3,1,2]=>4 [5,4,6,3,2,1]=>6 [5,6,1,2,3,4]=>3 [5,6,1,2,4,3]=>6 [5,6,1,3,2,4]=>6 [5,6,1,3,4,2]=>4 [5,6,1,4,2,3]=>5 [5,6,1,4,3,2]=>6 [5,6,2,1,3,4]=>6 [5,6,2,1,4,3]=>3 [5,6,2,3,1,4]=>4 [5,6,2,3,4,1]=>6 [5,6,2,4,1,3]=>6 [5,6,2,4,3,1]=>5 [5,6,3,1,2,4]=>5 [5,6,3,1,4,2]=>6 [5,6,3,2,1,4]=>6 [5,6,3,2,4,1]=>5 [5,6,3,4,1,2]=>2 [5,6,3,4,2,1]=>4 [5,6,4,1,2,3]=>6 [5,6,4,1,3,2]=>4 [5,6,4,2,1,3]=>4 [5,6,4,2,3,1]=>6 [5,6,4,3,1,2]=>2 [5,6,4,3,2,1]=>4 [6,1,2,3,4,5]=>6 [6,1,2,3,5,4]=>5 [6,1,2,4,3,5]=>5 [6,1,2,4,5,3]=>4 [6,1,2,5,3,4]=>6 [6,1,2,5,4,3]=>4 [6,1,3,2,4,5]=>5 [6,1,3,2,5,4]=>4 [6,1,3,4,2,5]=>4 [6,1,3,4,5,2]=>3 [6,1,3,5,2,4]=>5 [6,1,3,5,4,2]=>6 [6,1,4,2,3,5]=>6 [6,1,4,2,5,3]=>5 [6,1,4,3,2,5]=>4 [6,1,4,3,5,2]=>6 [6,1,4,5,2,3]=>6 [6,1,4,5,3,2]=>3 [6,1,5,2,3,4]=>4 [6,1,5,2,4,3]=>6 [6,1,5,3,2,4]=>6 [6,1,5,3,4,2]=>3 [6,1,5,4,2,3]=>5 [6,1,5,4,3,2]=>6 [6,2,1,3,4,5]=>5 [6,2,1,3,5,4]=>4 [6,2,1,4,3,5]=>4 [6,2,1,4,5,3]=>3 [6,2,1,5,3,4]=>5 [6,2,1,5,4,3]=>6 [6,2,3,1,4,5]=>4 [6,2,3,1,5,4]=>3 [6,2,3,4,1,5]=>3 [6,2,3,4,5,1]=>2 [6,2,3,5,1,4]=>4 [6,2,3,5,4,1]=>2 [6,2,4,1,3,5]=>5 [6,2,4,1,5,3]=>4 [6,2,4,3,1,5]=>6 [6,2,4,3,5,1]=>2 [6,2,4,5,1,3]=>5 [6,2,4,5,3,1]=>6 [6,2,5,1,3,4]=>6 [6,2,5,1,4,3]=>5 [6,2,5,3,1,4]=>5 [6,2,5,3,4,1]=>6 [6,2,5,4,1,3]=>4 [6,2,5,4,3,1]=>2 [6,3,1,2,4,5]=>6 [6,3,1,2,5,4]=>5 [6,3,1,4,2,5]=>5 [6,3,1,4,5,2]=>4 [6,3,1,5,2,4]=>6 [6,3,1,5,4,2]=>4 [6,3,2,1,4,5]=>4 [6,3,2,1,5,4]=>6 [6,3,2,4,1,5]=>6 [6,3,2,4,5,1]=>2 [6,3,2,5,1,4]=>4 [6,3,2,5,4,1]=>2 [6,3,4,1,2,5]=>6 [6,3,4,1,5,2]=>5 [6,3,4,2,1,5]=>3 [6,3,4,2,5,1]=>6 [6,3,4,5,1,2]=>6 [6,3,4,5,2,1]=>4 [6,3,5,1,2,4]=>3 [6,3,5,1,4,2]=>6 [6,3,5,2,1,4]=>6 [6,3,5,2,4,1]=>4 [6,3,5,4,1,2]=>5 [6,3,5,4,2,1]=>6 [6,4,1,2,3,5]=>4 [6,4,1,2,5,3]=>6 [6,4,1,3,2,5]=>6 [6,4,1,3,5,2]=>5 [6,4,1,5,2,3]=>3 [6,4,1,5,3,2]=>6 [6,4,2,1,3,5]=>6 [6,4,2,1,5,3]=>5 [6,4,2,3,1,5]=>3 [6,4,2,3,5,1]=>6 [6,4,2,5,1,3]=>6 [6,4,2,5,3,1]=>4 [6,4,3,1,2,5]=>5 [6,4,3,1,5,2]=>4 [6,4,3,2,1,5]=>6 [6,4,3,2,5,1]=>2 [6,4,3,5,1,2]=>5 [6,4,3,5,2,1]=>6 [6,4,5,1,2,3]=>6 [6,4,5,1,3,2]=>4 [6,4,5,2,1,3]=>4 [6,4,5,2,3,1]=>2 [6,4,5,3,1,2]=>6 [6,4,5,3,2,1]=>4 [6,5,1,2,3,4]=>6 [6,5,1,2,4,3]=>3 [6,5,1,3,2,4]=>4 [6,5,1,3,4,2]=>6 [6,5,1,4,2,3]=>6 [6,5,1,4,3,2]=>5 [6,5,2,1,3,4]=>3 [6,5,2,1,4,3]=>6 [6,5,2,3,1,4]=>6 [6,5,2,3,4,1]=>4 [6,5,2,4,1,3]=>5 [6,5,2,4,3,1]=>6 [6,5,3,1,2,4]=>6 [6,5,3,1,4,2]=>5 [6,5,3,2,1,4]=>5 [6,5,3,2,4,1]=>6 [6,5,3,4,1,2]=>4 [6,5,3,4,2,1]=>2 [6,5,4,1,2,3]=>4 [6,5,4,1,3,2]=>6 [6,5,4,2,1,3]=>6 [6,5,4,2,3,1]=>4 [6,5,4,3,1,2]=>4 [6,5,4,3,2,1]=>2
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Description
The order of a permutation.
$\operatorname{ord}(\pi)$ is given by the minimial $k$ for which $\pi^k$ is the identity permutation.
References
[1] Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1<=k<=g(n), where g(n) = A000793(n) is Landau's function.. OEIS:A057731
Code
def statistic(pi):
    return pi.to_permutation_group_element().order()
Created
Apr 05, 2013 at 14:08 by Christian Stump
Updated
May 29, 2015 at 16:17 by Martin Rubey