Identifier
Mp00201: Dyck paths RingelPermutations
Mp00126: Permutations cactus evacuationPermutations
Mp00066: Permutations inversePermutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[2,1]=>[2,1]=>[2,1] [1,0,1,0]=>[3,1,2]=>[1,3,2]=>[1,3,2] [1,1,0,0]=>[2,3,1]=>[2,1,3]=>[2,1,3] [1,0,1,0,1,0]=>[4,1,2,3]=>[1,2,4,3]=>[1,2,4,3] [1,0,1,1,0,0]=>[3,1,4,2]=>[3,1,4,2]=>[2,4,1,3] [1,1,0,0,1,0]=>[2,4,1,3]=>[2,4,1,3]=>[3,1,4,2] [1,1,0,1,0,0]=>[4,3,1,2]=>[1,4,3,2]=>[1,4,3,2] [1,1,1,0,0,0]=>[2,3,4,1]=>[2,1,3,4]=>[2,1,3,4] [1,0,1,0,1,0,1,0]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [1,0,1,0,1,1,0,0]=>[4,1,2,5,3]=>[4,1,2,5,3]=>[2,3,5,1,4] [1,0,1,1,0,0,1,0]=>[3,1,5,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [1,0,1,1,0,1,0,0]=>[5,1,4,2,3]=>[1,5,2,4,3]=>[1,3,5,4,2] [1,0,1,1,1,0,0,0]=>[3,1,4,5,2]=>[3,1,4,5,2]=>[2,5,1,3,4] [1,1,0,0,1,0,1,0]=>[2,5,1,3,4]=>[2,3,5,1,4]=>[4,1,2,5,3] [1,1,0,0,1,1,0,0]=>[2,4,1,5,3]=>[2,1,4,3,5]=>[2,1,4,3,5] [1,1,0,1,0,0,1,0]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[1,5,2,4,3] [1,1,0,1,0,1,0,0]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,2,5,4,3] [1,1,0,1,1,0,0,0]=>[4,3,1,5,2]=>[4,1,5,3,2]=>[2,5,4,1,3] [1,1,1,0,0,0,1,0]=>[2,3,5,1,4]=>[2,5,1,3,4]=>[3,1,4,5,2] [1,1,1,0,0,1,0,0]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[4,1,5,3,2] [1,1,1,0,1,0,0,0]=>[5,3,4,1,2]=>[3,5,1,4,2]=>[3,5,1,4,2] [1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,0,1,0,1,0,1,0,1,0]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [1,0,1,0,1,0,1,1,0,0]=>[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[2,3,4,6,1,5] [1,0,1,0,1,1,0,0,1,0]=>[4,1,2,6,3,5]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5] [1,0,1,0,1,1,0,1,0,0]=>[6,1,2,5,3,4]=>[1,6,2,3,5,4]=>[1,3,4,6,5,2] [1,0,1,0,1,1,1,0,0,0]=>[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[2,3,6,1,4,5] [1,0,1,1,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5] [1,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[2,4,1,6,3,5] [1,0,1,1,0,1,0,0,1,0]=>[6,1,4,2,3,5]=>[1,2,6,4,5,3]=>[1,2,6,4,5,3] [1,0,1,1,0,1,0,1,0,0]=>[6,1,5,2,3,4]=>[1,2,6,3,5,4]=>[1,2,4,6,5,3] [1,0,1,1,0,1,1,0,0,0]=>[5,1,4,2,6,3]=>[5,1,6,2,4,3]=>[2,4,6,5,1,3] [1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,2,5]=>[3,4,1,2,6,5]=>[3,4,1,2,6,5] [1,0,1,1,1,0,0,1,0,0]=>[3,1,6,5,2,4]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2] [1,0,1,1,1,0,1,0,0,0]=>[6,1,4,5,2,3]=>[4,6,1,2,5,3]=>[3,4,6,1,5,2] [1,0,1,1,1,1,0,0,0,0]=>[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5] [1,1,0,0,1,0,1,0,1,0]=>[2,6,1,3,4,5]=>[2,3,4,6,1,5]=>[5,1,2,3,6,4] [1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>[2,1,5,6,3,4]=>[2,1,5,6,3,4] [1,1,0,0,1,1,0,0,1,0]=>[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[3,1,5,2,6,4] [1,1,0,0,1,1,0,1,0,0]=>[2,6,1,5,3,4]=>[2,6,3,5,1,4]=>[5,1,3,6,4,2] [1,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,6,3]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6] [1,1,0,1,0,0,1,0,1,0]=>[6,3,1,2,4,5]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4] [1,1,0,1,0,0,1,1,0,0]=>[5,3,1,2,6,4]=>[5,1,3,6,4,2]=>[2,6,3,5,1,4] [1,1,0,1,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4] [1,1,0,1,0,1,0,1,0,0]=>[5,6,1,2,3,4]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4] [1,1,0,1,0,1,1,0,0,0]=>[5,4,1,2,6,3]=>[5,1,2,6,4,3]=>[2,3,6,5,1,4] [1,1,0,1,1,0,0,0,1,0]=>[4,3,1,6,2,5]=>[1,4,3,6,5,2]=>[1,6,3,2,5,4] [1,1,0,1,1,0,0,1,0,0]=>[6,3,1,5,2,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4] [1,1,0,1,1,0,1,0,0,0]=>[6,4,1,5,2,3]=>[1,4,2,6,5,3]=>[1,3,6,2,5,4] [1,1,0,1,1,1,0,0,0,0]=>[4,3,1,5,6,2]=>[4,1,5,6,3,2]=>[2,6,5,1,3,4] [1,1,1,0,0,0,1,0,1,0]=>[2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[4,1,2,5,6,3] [1,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,6,4]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6] [1,1,1,0,0,1,0,0,1,0]=>[2,6,4,1,3,5]=>[2,4,6,5,1,3]=>[5,1,6,2,4,3] [1,1,1,0,0,1,0,1,0,0]=>[2,6,5,1,3,4]=>[2,3,6,5,1,4]=>[5,1,2,6,4,3] [1,1,1,0,0,1,1,0,0,0]=>[2,5,4,1,6,3]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6] [1,1,1,0,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[3,4,6,1,5,2]=>[4,6,1,2,5,3] [1,1,1,0,1,0,0,1,0,0]=>[6,3,5,1,2,4]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3] [1,1,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3] [1,1,1,0,1,1,0,0,0,0]=>[5,3,4,1,6,2]=>[3,1,5,4,6,2]=>[2,6,1,4,3,5] [1,1,1,1,0,0,0,0,1,0]=>[2,3,4,6,1,5]=>[2,6,1,3,4,5]=>[3,1,4,5,6,2] [1,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,1,4]=>[2,6,5,1,3,4]=>[4,1,5,6,3,2] [1,1,1,1,0,0,1,0,0,0]=>[2,6,4,5,1,3]=>[2,6,1,4,3,5]=>[3,1,5,4,6,2] [1,1,1,1,0,1,0,0,0,0]=>[6,3,4,5,1,2]=>[3,6,1,4,5,2]=>[3,6,1,4,5,2] [1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,0]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [1,0,1,0,1,0,1,0,1,1,0,0]=>[6,1,2,3,4,7,5]=>[6,1,2,3,4,7,5]=>[2,3,4,5,7,1,6] [1,0,1,0,1,0,1,1,0,0,1,0]=>[5,1,2,3,7,4,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6] [1,0,1,0,1,0,1,1,0,1,0,0]=>[7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2] [1,0,1,0,1,0,1,1,1,0,0,0]=>[5,1,2,3,6,7,4]=>[5,1,2,3,6,7,4]=>[2,3,4,7,1,5,6] [1,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,2,7,3,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [1,0,1,0,1,1,0,0,1,1,0,0]=>[4,1,2,6,3,7,5]=>[4,1,6,2,3,7,5]=>[2,4,5,1,7,3,6] [1,0,1,0,1,1,0,1,0,0,1,0]=>[7,1,2,5,3,4,6]=>[1,2,7,3,5,6,4]=>[1,2,4,7,5,6,3] [1,0,1,0,1,1,0,1,0,1,0,0]=>[7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3] [1,0,1,0,1,1,0,1,1,0,0,0]=>[6,1,2,5,3,7,4]=>[6,1,7,2,3,5,4]=>[2,4,5,7,6,1,3] [1,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>[4,5,1,2,3,7,6]=>[3,4,5,1,2,7,6] [1,0,1,0,1,1,1,0,0,1,0,0]=>[4,1,2,7,6,3,5]=>[1,7,4,2,3,6,5]=>[1,4,5,3,7,6,2] [1,0,1,0,1,1,1,0,1,0,0,0]=>[7,1,2,5,6,3,4]=>[5,7,1,2,3,6,4]=>[3,4,5,7,1,6,2] [1,0,1,0,1,1,1,1,0,0,0,0]=>[4,1,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>[2,3,7,1,4,5,6] [1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6] [1,0,1,1,0,0,1,0,1,1,0,0]=>[3,1,6,2,4,7,5]=>[3,1,2,6,4,7,5]=>[2,3,1,5,7,4,6] [1,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,7,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [1,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,7,2,6,4,5]=>[1,7,3,4,2,6,5]=>[1,5,3,4,7,6,2] [1,0,1,1,0,0,1,1,1,0,0,0]=>[3,1,5,2,6,7,4]=>[3,1,5,6,2,7,4]=>[2,5,1,7,3,4,6] [1,0,1,1,0,1,0,0,1,0,1,0]=>[7,1,4,2,3,5,6]=>[1,2,4,7,5,6,3]=>[1,2,7,3,5,6,4] [1,0,1,1,0,1,0,0,1,1,0,0]=>[6,1,4,2,3,7,5]=>[6,1,2,7,4,5,3]=>[2,3,7,5,6,1,4] [1,0,1,1,0,1,0,1,0,0,1,0]=>[7,1,5,2,3,4,6]=>[1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4] [1,0,1,1,0,1,0,1,0,1,0,0]=>[6,1,7,2,3,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,5,7,4,6] [1,0,1,1,0,1,0,1,1,0,0,0]=>[6,1,5,2,3,7,4]=>[6,1,2,7,3,5,4]=>[2,3,5,7,6,1,4] [1,0,1,1,0,1,1,0,0,0,1,0]=>[5,1,4,2,7,3,6]=>[1,5,2,7,4,6,3]=>[1,3,7,5,2,6,4] [1,0,1,1,0,1,1,0,0,1,0,0]=>[7,1,4,2,6,3,5]=>[1,4,2,7,3,6,5]=>[1,3,5,2,7,6,4] [1,0,1,1,0,1,1,0,1,0,0,0]=>[7,1,5,2,6,3,4]=>[1,5,2,7,3,6,4]=>[1,3,5,7,2,6,4] [1,0,1,1,0,1,1,1,0,0,0,0]=>[5,1,4,2,6,7,3]=>[5,1,2,6,4,7,3]=>[2,3,7,5,1,4,6] [1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,7,2,5,6]=>[3,4,5,1,2,7,6]=>[4,5,1,2,3,7,6] [1,0,1,1,1,0,0,0,1,1,0,0]=>[3,1,4,6,2,7,5]=>[3,1,4,2,6,7,5]=>[2,4,1,3,7,5,6] [1,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,7,5,2,4,6]=>[1,3,7,5,2,6,4]=>[1,5,2,7,4,6,3] [1,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,7,6,2,4,5]=>[1,3,7,4,2,6,5]=>[1,5,2,4,7,6,3] [1,0,1,1,1,0,0,1,1,0,0,0]=>[3,1,6,5,2,7,4]=>[3,1,6,5,2,7,4]=>[2,5,1,7,4,3,6] [1,0,1,1,1,0,1,0,0,0,1,0]=>[7,1,4,5,2,3,6]=>[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3] [1,0,1,1,1,0,1,0,0,1,0,0]=>[7,1,4,6,2,3,5]=>[1,4,7,2,3,6,5]=>[1,4,5,2,7,6,3] [1,0,1,1,1,0,1,0,1,0,0,0]=>[7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3] [1,0,1,1,1,0,1,1,0,0,0,0]=>[6,1,4,5,2,7,3]=>[4,1,6,2,5,7,3]=>[2,4,7,1,5,3,6] [1,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>[3,4,1,2,5,7,6]=>[3,4,1,2,5,7,6] [1,0,1,1,1,1,0,0,0,1,0,0]=>[3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]=>[4,5,1,3,7,6,2] [1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,7,5,6,2,4]=>[3,7,1,5,2,6,4]=>[3,5,1,7,4,6,2] [1,0,1,1,1,1,0,1,0,0,0,0]=>[7,1,4,5,6,2,3]=>[4,7,1,2,5,6,3]=>[3,4,7,1,5,6,2] [1,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,4,5,6,7,2]=>[3,1,4,5,6,7,2]=>[2,7,1,3,4,5,6] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,7,1,3,4,5,6]=>[2,3,4,5,7,1,6]=>[6,1,2,3,4,7,5] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>[2,1,3,6,7,4,5]=>[2,1,3,6,7,4,5] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,5,1,3,7,4,6]=>[2,3,1,5,7,4,6]=>[3,1,2,6,4,7,5] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,7,1,3,6,4,5]=>[2,7,3,4,6,1,5]=>[6,1,3,4,7,5,2] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,1,3,6,7,4]=>[2,1,5,6,7,3,4]=>[2,1,6,7,3,4,5] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,7,3,5,6]=>[2,4,5,1,7,3,6]=>[4,1,6,2,3,7,5] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,6,3,7,5]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,7,1,5,3,4,6]=>[2,3,7,5,6,1,4]=>[6,1,2,7,4,5,3] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,7,1,6,3,4,5]=>[2,3,7,4,6,1,5]=>[6,1,2,4,7,5,3] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,6,1,5,3,7,4]=>[2,1,6,5,7,3,4]=>[2,1,6,7,4,3,5] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,4,1,5,7,3,6]=>[2,4,1,3,7,5,6]=>[3,1,4,2,6,7,5] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,6,3,5]=>[2,7,4,1,6,3,5]=>[4,1,6,3,7,5,2] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,7,1,5,6,3,4]=>[2,7,1,5,6,3,4]=>[3,1,6,7,4,5,2] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,5,6,7,3]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7] [1,1,0,1,0,0,1,0,1,0,1,0]=>[7,3,1,2,4,5,6]=>[1,3,4,5,7,6,2]=>[1,7,2,3,4,6,5] [1,1,0,1,0,0,1,0,1,1,0,0]=>[6,3,1,2,4,7,5]=>[6,1,3,4,7,5,2]=>[2,7,3,4,6,1,5] [1,1,0,1,0,0,1,1,0,0,1,0]=>[5,3,1,2,7,4,6]=>[1,5,3,4,7,6,2]=>[1,7,3,4,2,6,5] [1,1,0,1,0,0,1,1,0,1,0,0]=>[7,3,1,2,6,4,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5] [1,1,0,1,0,0,1,1,1,0,0,0]=>[5,3,1,2,6,7,4]=>[5,1,3,6,7,4,2]=>[2,7,3,6,1,4,5] [1,1,0,1,0,1,0,0,1,0,1,0]=>[7,4,1,2,3,5,6]=>[1,2,4,5,7,6,3]=>[1,2,7,3,4,6,5] [1,1,0,1,0,1,0,0,1,1,0,0]=>[6,4,1,2,3,7,5]=>[6,1,2,4,7,5,3]=>[2,3,7,4,6,1,5] [1,1,0,1,0,1,0,1,0,0,1,0]=>[5,7,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,6,4,7,5] [1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5] [1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]=>[2,3,6,7,1,4,5] [1,1,0,1,0,1,1,0,0,0,1,0]=>[5,4,1,2,7,3,6]=>[1,5,2,4,7,6,3]=>[1,3,7,4,2,6,5] [1,1,0,1,0,1,1,0,0,1,0,0]=>[7,4,1,2,6,3,5]=>[1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5] [1,1,0,1,0,1,1,0,1,0,0,0]=>[5,7,1,2,6,3,4]=>[1,7,2,5,6,3,4]=>[1,3,6,7,4,5,2] [1,1,0,1,0,1,1,1,0,0,0,0]=>[5,4,1,2,6,7,3]=>[5,1,2,6,7,4,3]=>[2,3,7,6,1,4,5] [1,1,0,1,1,0,0,0,1,0,1,0]=>[4,3,1,7,2,5,6]=>[1,4,5,3,7,6,2]=>[1,7,4,2,3,6,5] [1,1,0,1,1,0,0,0,1,1,0,0]=>[4,3,1,6,2,7,5]=>[4,1,6,3,7,5,2]=>[2,7,4,1,6,3,5] [1,1,0,1,1,0,0,1,0,0,1,0]=>[7,3,1,5,2,4,6]=>[1,3,5,2,7,6,4]=>[1,4,2,7,3,6,5] [1,1,0,1,1,0,0,1,0,1,0,0]=>[7,3,1,6,2,4,5]=>[1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5] [1,1,0,1,1,0,0,1,1,0,0,0]=>[6,3,1,5,2,7,4]=>[3,1,6,2,7,5,4]=>[2,4,1,7,6,3,5] [1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>[1,4,7,2,3,6,5] [1,1,0,1,1,0,1,0,0,1,0,0]=>[7,4,1,6,2,3,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5] [1,1,0,1,1,0,1,0,1,0,0,0]=>[6,7,1,5,2,3,4]=>[1,2,6,5,7,3,4]=>[1,2,6,7,4,3,5] [1,1,0,1,1,0,1,1,0,0,0,0]=>[6,4,1,5,2,7,3]=>[4,1,6,2,7,5,3]=>[2,4,7,1,6,3,5] [1,1,0,1,1,1,0,0,0,0,1,0]=>[4,3,1,5,7,2,6]=>[4,5,1,3,7,6,2]=>[3,7,4,1,2,6,5] [1,1,0,1,1,1,0,0,0,1,0,0]=>[4,3,1,7,6,2,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5] [1,1,0,1,1,1,0,0,1,0,0,0]=>[7,3,1,5,6,2,4]=>[3,5,1,2,7,6,4]=>[3,4,1,7,2,6,5] [1,1,0,1,1,1,0,1,0,0,0,0]=>[7,4,1,5,6,2,3]=>[4,5,1,2,7,6,3]=>[3,4,7,1,2,6,5] [1,1,0,1,1,1,1,0,0,0,0,0]=>[4,3,1,5,6,7,2]=>[4,1,5,6,7,3,2]=>[2,7,6,1,3,4,5] [1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,7,1,4,5,6]=>[2,3,4,7,1,5,6]=>[5,1,2,3,6,7,4] [1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,6,1,4,7,5]=>[2,1,6,7,3,4,5]=>[2,1,5,6,7,3,4] [1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,1,7,4,6]=>[2,5,1,7,3,4,6]=>[3,1,5,6,2,7,4] [1,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,7,1,6,4,5]=>[2,7,3,6,1,4,5]=>[5,1,3,6,7,4,2] [1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,1,6,7,4]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [1,1,1,0,0,1,0,0,1,0,1,0]=>[2,7,4,1,3,5,6]=>[2,4,5,7,6,1,3]=>[6,1,7,2,3,5,4] [1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,4,1,3,7,5]=>[2,1,6,7,4,3,5]=>[2,1,6,5,7,3,4] [1,1,1,0,0,1,0,1,0,0,1,0]=>[2,7,5,1,3,4,6]=>[2,3,5,7,6,1,4]=>[6,1,2,7,3,5,4] [1,1,1,0,0,1,0,1,0,1,0,0]=>[2,6,7,1,3,4,5]=>[2,3,6,7,1,4,5]=>[5,1,2,6,7,3,4] [1,1,1,0,0,1,0,1,1,0,0,0]=>[2,6,5,1,3,7,4]=>[2,1,6,7,5,3,4]=>[2,1,6,7,5,3,4] [1,1,1,0,0,1,1,0,0,0,1,0]=>[2,5,4,1,7,3,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4] [1,1,1,0,0,1,1,0,0,1,0,0]=>[2,7,4,1,6,3,5]=>[2,4,1,7,6,3,5]=>[3,1,6,2,7,5,4] [1,1,1,0,0,1,1,0,1,0,0,0]=>[2,7,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>[3,1,6,7,2,5,4] [1,1,1,0,0,1,1,1,0,0,0,0]=>[2,5,4,1,6,7,3]=>[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7] [1,1,1,0,1,0,0,0,1,0,1,0]=>[7,3,4,1,2,5,6]=>[3,4,5,7,1,6,2]=>[5,7,1,2,3,6,4] [1,1,1,0,1,0,0,0,1,1,0,0]=>[6,3,4,1,2,7,5]=>[3,1,6,7,4,5,2]=>[2,7,1,5,6,3,4] [1,1,1,0,1,0,0,1,0,0,1,0]=>[7,3,5,1,2,4,6]=>[1,3,5,7,2,6,4]=>[1,5,2,7,3,6,4] [1,1,1,0,1,0,0,1,0,1,0,0]=>[6,3,7,1,2,4,5]=>[1,3,6,7,4,5,2]=>[1,7,2,5,6,3,4] [1,1,1,0,1,0,0,1,1,0,0,0]=>[6,3,5,1,2,7,4]=>[3,1,6,7,2,5,4]=>[2,5,1,7,6,3,4] [1,1,1,0,1,0,1,0,0,0,1,0]=>[7,5,4,1,2,3,6]=>[1,2,5,7,6,4,3]=>[1,2,7,6,3,5,4] [1,1,1,0,1,0,1,0,0,1,0,0]=>[6,7,4,1,2,3,5]=>[1,2,6,7,4,3,5]=>[1,2,6,5,7,3,4] [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,7,5,1,2,3,4]=>[1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4] [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,5,4,1,2,7,3]=>[6,1,2,7,5,4,3]=>[2,3,7,6,5,1,4] [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,3,4,1,7,2,6]=>[3,5,1,7,4,6,2]=>[3,7,1,5,2,6,4] [1,1,1,0,1,1,0,0,0,1,0,0]=>[7,3,4,1,6,2,5]=>[3,4,1,7,2,6,5]=>[3,5,1,2,7,6,4] [1,1,1,0,1,1,0,0,1,0,0,0]=>[7,3,5,1,6,2,4]=>[3,5,1,7,2,6,4]=>[3,5,1,7,2,6,4] [1,1,1,0,1,1,0,1,0,0,0,0]=>[7,5,4,1,6,2,3]=>[1,5,2,7,6,4,3]=>[1,3,7,6,2,5,4] [1,1,1,0,1,1,1,0,0,0,0,0]=>[5,3,4,1,6,7,2]=>[3,1,5,6,4,7,2]=>[2,7,1,5,3,4,6] [1,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,4,7,1,5,6]=>[2,3,7,1,4,5,6]=>[4,1,2,5,6,7,3] [1,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,4,6,1,7,5]=>[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7] [1,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,7,5,1,4,6]=>[2,3,7,5,1,4,6]=>[5,1,2,6,4,7,3] [1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,7,6,1,4,5]=>[2,3,7,6,1,4,5]=>[5,1,2,6,7,4,3] [1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,5,1,7,4]=>[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7] [1,1,1,1,0,0,1,0,0,0,1,0]=>[2,7,4,5,1,3,6]=>[2,4,7,1,5,3,6]=>[4,1,6,2,5,7,3] [1,1,1,1,0,0,1,0,0,1,0,0]=>[2,7,4,6,1,3,5]=>[2,4,7,1,6,3,5]=>[4,1,6,2,7,5,3] [1,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,6,5,1,3,4]=>[2,3,7,6,5,1,4]=>[6,1,2,7,5,4,3] [1,1,1,1,0,0,1,1,0,0,0,0]=>[2,6,4,5,1,7,3]=>[2,1,6,4,5,3,7]=>[2,1,6,4,5,3,7] [1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[3,4,7,1,5,6,2]=>[4,7,1,2,5,6,3] [1,1,1,1,0,1,0,0,0,1,0,0]=>[7,3,4,6,1,2,5]=>[3,4,7,1,2,6,5]=>[4,5,1,2,7,6,3] [1,1,1,1,0,1,0,0,1,0,0,0]=>[7,3,6,5,1,2,4]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3] [1,1,1,1,0,1,0,1,0,0,0,0]=>[7,6,4,5,1,2,3]=>[1,4,7,2,6,5,3]=>[1,4,7,2,6,5,3] [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,4,5,1,7,2]=>[3,1,6,4,5,7,2]=>[2,7,1,4,5,3,6] [1,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,4,5,7,1,6]=>[2,7,1,3,4,5,6]=>[3,1,4,5,6,7,2] [1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,4,7,6,1,5]=>[2,7,6,1,3,4,5]=>[4,1,5,6,7,3,2] [1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,5,6,1,4]=>[2,7,1,5,3,4,6]=>[3,1,5,6,4,7,2] [1,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,4,5,6,1,3]=>[2,7,1,4,5,3,6]=>[3,1,6,4,5,7,2] [1,1,1,1,1,0,1,0,0,0,0,0]=>[7,3,4,5,6,1,2]=>[3,7,1,4,5,6,2]=>[3,7,1,4,5,6,2] [1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>[2,1,6,7,8,3,4,5]=>[2,1,6,7,8,3,4,5]
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
inverse
Description
Sends a permutation to its inverse.