Identifier
Images
=>
[1]=>[1]=>[1] [1,2]=>[1,2]=>[1,2] [2,1]=>[2,1]=>[2,1] [1,2,3]=>[1,2,3]=>[1,2,3] [1,3,2]=>[1,3,2]=>[1,3,2] [2,1,3]=>[2,1,3]=>[2,1,3] [2,3,1]=>[2,3,1]=>[3,1,2] [3,1,2]=>[3,1,2]=>[2,3,1] [3,2,1]=>[3,2,1]=>[3,2,1] [1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [1,2,4,3]=>[1,2,4,3]=>[1,2,4,3] [1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] [1,3,4,2]=>[1,3,4,2]=>[1,4,2,3] [1,4,2,3]=>[1,4,2,3]=>[1,3,4,2] [1,4,3,2]=>[1,4,3,2]=>[1,4,3,2] [2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] [2,3,1,4]=>[2,3,1,4]=>[3,1,2,4] [2,3,4,1]=>[2,3,4,1]=>[4,1,2,3] [2,4,1,3]=>[2,4,1,3]=>[3,1,4,2] [2,4,3,1]=>[2,4,3,1]=>[4,1,3,2] [3,1,2,4]=>[3,1,2,4]=>[2,3,1,4] [3,1,4,2]=>[3,1,4,2]=>[2,4,1,3] [3,2,1,4]=>[3,2,1,4]=>[3,2,1,4] [3,2,4,1]=>[3,2,4,1]=>[4,2,1,3] [3,4,1,2]=>[3,4,1,2]=>[3,4,1,2] [3,4,2,1]=>[3,4,2,1]=>[4,3,1,2] [4,1,2,3]=>[4,1,2,3]=>[2,3,4,1] [4,1,3,2]=>[4,1,3,2]=>[2,4,3,1] [4,2,1,3]=>[4,2,1,3]=>[3,2,4,1] [4,2,3,1]=>[4,2,3,1]=>[4,2,3,1] [4,3,1,2]=>[4,3,1,2]=>[3,4,2,1] [4,3,2,1]=>[4,3,2,1]=>[4,3,2,1] [1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,3,4] [1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,4,5,3] [1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3] [1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,2,3,5] [1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,2,3,4] [1,3,5,2,4]=>[1,3,5,2,4]=>[1,4,2,5,3] [1,3,5,4,2]=>[1,3,5,4,2]=>[1,5,2,4,3] [1,4,2,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5] [1,4,2,5,3]=>[1,4,2,5,3]=>[1,3,5,2,4] [1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5] [1,4,3,5,2]=>[1,4,3,5,2]=>[1,5,3,2,4] [1,4,5,2,3]=>[1,4,5,2,3]=>[1,4,5,2,3] [1,4,5,3,2]=>[1,4,5,3,2]=>[1,5,4,2,3] [1,5,2,3,4]=>[1,5,2,3,4]=>[1,3,4,5,2] [1,5,2,4,3]=>[1,5,2,4,3]=>[1,3,5,4,2] [1,5,3,2,4]=>[1,5,3,2,4]=>[1,4,3,5,2] [1,5,3,4,2]=>[1,5,3,4,2]=>[1,5,3,4,2] [1,5,4,2,3]=>[1,5,4,2,3]=>[1,4,5,3,2] [1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2] [2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,3,4] [2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,4,5,3] [2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3] [2,3,1,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5] [2,3,1,5,4]=>[2,3,1,5,4]=>[3,1,2,5,4] [2,3,4,1,5]=>[2,3,4,1,5]=>[4,1,2,3,5] [2,3,4,5,1]=>[2,3,4,5,1]=>[5,1,2,3,4] [2,3,5,1,4]=>[2,3,5,1,4]=>[4,1,2,5,3] [2,3,5,4,1]=>[2,3,5,4,1]=>[5,1,2,4,3] [2,4,1,3,5]=>[2,4,1,3,5]=>[3,1,4,2,5] [2,4,1,5,3]=>[2,4,1,5,3]=>[3,1,5,2,4] [2,4,3,1,5]=>[2,4,3,1,5]=>[4,1,3,2,5] [2,4,3,5,1]=>[2,4,3,5,1]=>[5,1,3,2,4] [2,4,5,1,3]=>[2,4,5,1,3]=>[4,1,5,2,3] [2,4,5,3,1]=>[2,4,5,3,1]=>[5,1,4,2,3] [2,5,1,3,4]=>[2,5,1,3,4]=>[3,1,4,5,2] [2,5,1,4,3]=>[2,5,1,4,3]=>[3,1,5,4,2] [2,5,3,1,4]=>[2,5,3,1,4]=>[4,1,3,5,2] [2,5,3,4,1]=>[2,5,3,4,1]=>[5,1,3,4,2] [2,5,4,1,3]=>[2,5,4,1,3]=>[4,1,5,3,2] [2,5,4,3,1]=>[2,5,4,3,1]=>[5,1,4,3,2] [3,1,2,4,5]=>[3,1,2,4,5]=>[2,3,1,4,5] [3,1,2,5,4]=>[3,1,2,5,4]=>[2,3,1,5,4] [3,1,4,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5] [3,1,4,5,2]=>[3,1,4,5,2]=>[2,5,1,3,4] [3,1,5,2,4]=>[3,1,5,2,4]=>[2,4,1,5,3] [3,1,5,4,2]=>[3,1,5,4,2]=>[2,5,1,4,3] [3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5] [3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4] [3,2,4,1,5]=>[3,2,4,1,5]=>[4,2,1,3,5] [3,2,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4] [3,2,5,1,4]=>[3,2,5,1,4]=>[4,2,1,5,3] [3,2,5,4,1]=>[3,2,5,4,1]=>[5,2,1,4,3] [3,4,1,2,5]=>[3,4,1,2,5]=>[3,4,1,2,5] [3,4,1,5,2]=>[3,4,1,5,2]=>[3,5,1,2,4] [3,4,2,1,5]=>[3,4,2,1,5]=>[4,3,1,2,5] [3,4,2,5,1]=>[3,4,2,5,1]=>[5,3,1,2,4] [3,4,5,1,2]=>[3,4,5,1,2]=>[4,5,1,2,3] [3,4,5,2,1]=>[3,4,5,2,1]=>[5,4,1,2,3] [3,5,1,2,4]=>[3,5,1,2,4]=>[3,4,1,5,2] [3,5,1,4,2]=>[3,5,1,4,2]=>[3,5,1,4,2] [3,5,2,1,4]=>[3,5,2,1,4]=>[4,3,1,5,2] [3,5,2,4,1]=>[3,5,2,4,1]=>[5,3,1,4,2] [3,5,4,1,2]=>[3,5,4,1,2]=>[4,5,1,3,2] [3,5,4,2,1]=>[3,5,4,2,1]=>[5,4,1,3,2] [4,1,2,3,5]=>[4,1,2,3,5]=>[2,3,4,1,5] [4,1,2,5,3]=>[4,1,2,5,3]=>[2,3,5,1,4] [4,1,3,2,5]=>[4,1,3,2,5]=>[2,4,3,1,5] [4,1,3,5,2]=>[4,1,3,5,2]=>[2,5,3,1,4] [4,1,5,2,3]=>[4,1,5,2,3]=>[2,4,5,1,3] [4,1,5,3,2]=>[4,1,5,3,2]=>[2,5,4,1,3] [4,2,1,3,5]=>[4,2,1,3,5]=>[3,2,4,1,5] [4,2,1,5,3]=>[4,2,1,5,3]=>[3,2,5,1,4] [4,2,3,1,5]=>[4,2,3,1,5]=>[4,2,3,1,5] [4,2,3,5,1]=>[4,2,3,5,1]=>[5,2,3,1,4] [4,2,5,1,3]=>[4,2,5,1,3]=>[4,2,5,1,3] [4,2,5,3,1]=>[4,2,5,3,1]=>[5,2,4,1,3] [4,3,1,2,5]=>[4,3,1,2,5]=>[3,4,2,1,5] [4,3,1,5,2]=>[4,3,1,5,2]=>[3,5,2,1,4] [4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5] [4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,2,1,4] [4,3,5,1,2]=>[4,3,5,1,2]=>[4,5,2,1,3] [4,3,5,2,1]=>[4,3,5,2,1]=>[5,4,2,1,3] [4,5,1,2,3]=>[4,5,1,2,3]=>[3,4,5,1,2] [4,5,1,3,2]=>[4,5,1,3,2]=>[3,5,4,1,2] [4,5,2,1,3]=>[4,5,2,1,3]=>[4,3,5,1,2] [4,5,2,3,1]=>[4,5,2,3,1]=>[5,3,4,1,2] [4,5,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2] [4,5,3,2,1]=>[4,5,3,2,1]=>[5,4,3,1,2] [5,1,2,3,4]=>[5,1,2,3,4]=>[2,3,4,5,1] [5,1,2,4,3]=>[5,1,2,4,3]=>[2,3,5,4,1] [5,1,3,2,4]=>[5,1,3,2,4]=>[2,4,3,5,1] [5,1,3,4,2]=>[5,1,3,4,2]=>[2,5,3,4,1] [5,1,4,2,3]=>[5,1,4,2,3]=>[2,4,5,3,1] [5,1,4,3,2]=>[5,1,4,3,2]=>[2,5,4,3,1] [5,2,1,3,4]=>[5,2,1,3,4]=>[3,2,4,5,1] [5,2,1,4,3]=>[5,2,1,4,3]=>[3,2,5,4,1] [5,2,3,1,4]=>[5,2,3,1,4]=>[4,2,3,5,1] [5,2,3,4,1]=>[5,2,3,4,1]=>[5,2,3,4,1] [5,2,4,1,3]=>[5,2,4,1,3]=>[4,2,5,3,1] [5,2,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1] [5,3,1,2,4]=>[5,3,1,2,4]=>[3,4,2,5,1] [5,3,1,4,2]=>[5,3,1,4,2]=>[3,5,2,4,1] [5,3,2,1,4]=>[5,3,2,1,4]=>[4,3,2,5,1] [5,3,2,4,1]=>[5,3,2,4,1]=>[5,3,2,4,1] [5,3,4,1,2]=>[5,3,4,1,2]=>[4,5,2,3,1] [5,3,4,2,1]=>[5,3,4,2,1]=>[5,4,2,3,1] [5,4,1,2,3]=>[5,4,1,2,3]=>[3,4,5,2,1] [5,4,1,3,2]=>[5,4,1,3,2]=>[3,5,4,2,1] [5,4,2,1,3]=>[5,4,2,1,3]=>[4,3,5,2,1] [5,4,2,3,1]=>[5,4,2,3,1]=>[5,3,4,2,1] [5,4,3,1,2]=>[5,4,3,1,2]=>[4,5,3,2,1] [5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]
Map
to signed permutation
Description
The signed permutation with all signs positive.
Map
inverse
Description
The inverse of a signed permutation.