Identifier
- St001852: Signed permutations ⟶ ℤ
Values
=>
[1]=>1
[-1]=>1
[1,2]=>1
[1,-2]=>2
[-1,2]=>2
[-1,-2]=>1
[2,1]=>2
[2,-1]=>2
[-2,1]=>2
[-2,-1]=>2
[1,2,3]=>1
[1,2,-3]=>3
[1,-2,3]=>3
[1,-2,-3]=>3
[-1,2,3]=>3
[-1,2,-3]=>3
[-1,-2,3]=>3
[-1,-2,-3]=>1
[1,3,2]=>6
[1,3,-2]=>6
[1,-3,2]=>6
[1,-3,-2]=>6
[-1,3,2]=>6
[-1,3,-2]=>6
[-1,-3,2]=>6
[-1,-3,-2]=>6
[2,1,3]=>6
[2,1,-3]=>6
[2,-1,3]=>6
[2,-1,-3]=>6
[-2,1,3]=>6
[-2,1,-3]=>6
[-2,-1,3]=>6
[-2,-1,-3]=>6
[2,3,1]=>8
[2,3,-1]=>8
[2,-3,1]=>8
[2,-3,-1]=>8
[-2,3,1]=>8
[-2,3,-1]=>8
[-2,-3,1]=>8
[-2,-3,-1]=>8
[3,1,2]=>8
[3,1,-2]=>8
[3,-1,2]=>8
[3,-1,-2]=>8
[-3,1,2]=>8
[-3,1,-2]=>8
[-3,-1,2]=>8
[-3,-1,-2]=>8
[3,2,1]=>6
[3,2,-1]=>6
[3,-2,1]=>6
[3,-2,-1]=>6
[-3,2,1]=>6
[-3,2,-1]=>6
[-3,-2,1]=>6
[-3,-2,-1]=>6
[1,2,3,4]=>1
[1,2,3,-4]=>4
[1,2,-3,4]=>4
[1,2,-3,-4]=>6
[1,-2,3,4]=>4
[1,-2,3,-4]=>6
[1,-2,-3,4]=>6
[1,-2,-3,-4]=>4
[-1,2,3,4]=>4
[-1,2,3,-4]=>6
[-1,2,-3,4]=>6
[-1,2,-3,-4]=>4
[-1,-2,3,4]=>6
[-1,-2,3,-4]=>4
[-1,-2,-3,4]=>4
[-1,-2,-3,-4]=>1
[1,2,4,3]=>12
[1,2,4,-3]=>12
[1,2,-4,3]=>12
[1,2,-4,-3]=>12
[1,-2,4,3]=>24
[1,-2,4,-3]=>24
[1,-2,-4,3]=>24
[1,-2,-4,-3]=>24
[-1,2,4,3]=>24
[-1,2,4,-3]=>24
[-1,2,-4,3]=>24
[-1,2,-4,-3]=>24
[-1,-2,4,3]=>12
[-1,-2,4,-3]=>12
[-1,-2,-4,3]=>12
[-1,-2,-4,-3]=>12
[1,3,2,4]=>12
[1,3,2,-4]=>24
[1,3,-2,4]=>12
[1,3,-2,-4]=>24
[1,-3,2,4]=>12
[1,-3,2,-4]=>24
[1,-3,-2,4]=>12
[1,-3,-2,-4]=>24
[-1,3,2,4]=>24
[-1,3,2,-4]=>12
[-1,3,-2,4]=>24
[-1,3,-2,-4]=>12
[-1,-3,2,4]=>24
[-1,-3,2,-4]=>12
[-1,-3,-2,4]=>24
[-1,-3,-2,-4]=>12
[1,3,4,2]=>32
[1,3,4,-2]=>32
[1,3,-4,2]=>32
[1,3,-4,-2]=>32
[1,-3,4,2]=>32
[1,-3,4,-2]=>32
[1,-3,-4,2]=>32
[1,-3,-4,-2]=>32
[-1,3,4,2]=>32
[-1,3,4,-2]=>32
[-1,3,-4,2]=>32
[-1,3,-4,-2]=>32
[-1,-3,4,2]=>32
[-1,-3,4,-2]=>32
[-1,-3,-4,2]=>32
[-1,-3,-4,-2]=>32
[1,4,2,3]=>32
[1,4,2,-3]=>32
[1,4,-2,3]=>32
[1,4,-2,-3]=>32
[1,-4,2,3]=>32
[1,-4,2,-3]=>32
[1,-4,-2,3]=>32
[1,-4,-2,-3]=>32
[-1,4,2,3]=>32
[-1,4,2,-3]=>32
[-1,4,-2,3]=>32
[-1,4,-2,-3]=>32
[-1,-4,2,3]=>32
[-1,-4,2,-3]=>32
[-1,-4,-2,3]=>32
[-1,-4,-2,-3]=>32
[1,4,3,2]=>12
[1,4,3,-2]=>12
[1,4,-3,2]=>24
[1,4,-3,-2]=>24
[1,-4,3,2]=>12
[1,-4,3,-2]=>12
[1,-4,-3,2]=>24
[1,-4,-3,-2]=>24
[-1,4,3,2]=>24
[-1,4,3,-2]=>24
[-1,4,-3,2]=>12
[-1,4,-3,-2]=>12
[-1,-4,3,2]=>24
[-1,-4,3,-2]=>24
[-1,-4,-3,2]=>12
[-1,-4,-3,-2]=>12
[2,1,3,4]=>12
[2,1,3,-4]=>24
[2,1,-3,4]=>24
[2,1,-3,-4]=>12
[2,-1,3,4]=>12
[2,-1,3,-4]=>24
[2,-1,-3,4]=>24
[2,-1,-3,-4]=>12
[-2,1,3,4]=>12
[-2,1,3,-4]=>24
[-2,1,-3,4]=>24
[-2,1,-3,-4]=>12
[-2,-1,3,4]=>12
[-2,-1,3,-4]=>24
[-2,-1,-3,4]=>24
[-2,-1,-3,-4]=>12
[2,1,4,3]=>12
[2,1,4,-3]=>24
[2,1,-4,3]=>24
[2,1,-4,-3]=>12
[2,-1,4,3]=>24
[2,-1,4,-3]=>12
[2,-1,-4,3]=>12
[2,-1,-4,-3]=>24
[-2,1,4,3]=>24
[-2,1,4,-3]=>12
[-2,1,-4,3]=>12
[-2,1,-4,-3]=>24
[-2,-1,4,3]=>12
[-2,-1,4,-3]=>24
[-2,-1,-4,3]=>24
[-2,-1,-4,-3]=>12
[2,3,1,4]=>32
[2,3,1,-4]=>32
[2,3,-1,4]=>32
[2,3,-1,-4]=>32
[2,-3,1,4]=>32
[2,-3,1,-4]=>32
[2,-3,-1,4]=>32
[2,-3,-1,-4]=>32
[-2,3,1,4]=>32
[-2,3,1,-4]=>32
[-2,3,-1,4]=>32
[-2,3,-1,-4]=>32
[-2,-3,1,4]=>32
[-2,-3,1,-4]=>32
[-2,-3,-1,4]=>32
[-2,-3,-1,-4]=>32
[2,3,4,1]=>48
[2,3,4,-1]=>48
[2,3,-4,1]=>48
[2,3,-4,-1]=>48
[2,-3,4,1]=>48
[2,-3,4,-1]=>48
[2,-3,-4,1]=>48
[2,-3,-4,-1]=>48
[-2,3,4,1]=>48
[-2,3,4,-1]=>48
[-2,3,-4,1]=>48
[-2,3,-4,-1]=>48
[-2,-3,4,1]=>48
[-2,-3,4,-1]=>48
[-2,-3,-4,1]=>48
[-2,-3,-4,-1]=>48
[2,4,1,3]=>48
[2,4,1,-3]=>48
[2,4,-1,3]=>48
[2,4,-1,-3]=>48
[2,-4,1,3]=>48
[2,-4,1,-3]=>48
[2,-4,-1,3]=>48
[2,-4,-1,-3]=>48
[-2,4,1,3]=>48
[-2,4,1,-3]=>48
[-2,4,-1,3]=>48
[-2,4,-1,-3]=>48
[-2,-4,1,3]=>48
[-2,-4,1,-3]=>48
[-2,-4,-1,3]=>48
[-2,-4,-1,-3]=>48
[2,4,3,1]=>32
[2,4,3,-1]=>32
[2,4,-3,1]=>32
[2,4,-3,-1]=>32
[2,-4,3,1]=>32
[2,-4,3,-1]=>32
[2,-4,-3,1]=>32
[2,-4,-3,-1]=>32
[-2,4,3,1]=>32
[-2,4,3,-1]=>32
[-2,4,-3,1]=>32
[-2,4,-3,-1]=>32
[-2,-4,3,1]=>32
[-2,-4,3,-1]=>32
[-2,-4,-3,1]=>32
[-2,-4,-3,-1]=>32
[3,1,2,4]=>32
[3,1,2,-4]=>32
[3,1,-2,4]=>32
[3,1,-2,-4]=>32
[3,-1,2,4]=>32
[3,-1,2,-4]=>32
[3,-1,-2,4]=>32
[3,-1,-2,-4]=>32
[-3,1,2,4]=>32
[-3,1,2,-4]=>32
[-3,1,-2,4]=>32
[-3,1,-2,-4]=>32
[-3,-1,2,4]=>32
[-3,-1,2,-4]=>32
[-3,-1,-2,4]=>32
[-3,-1,-2,-4]=>32
[3,1,4,2]=>48
[3,1,4,-2]=>48
[3,1,-4,2]=>48
[3,1,-4,-2]=>48
[3,-1,4,2]=>48
[3,-1,4,-2]=>48
[3,-1,-4,2]=>48
[3,-1,-4,-2]=>48
[-3,1,4,2]=>48
[-3,1,4,-2]=>48
[-3,1,-4,2]=>48
[-3,1,-4,-2]=>48
[-3,-1,4,2]=>48
[-3,-1,4,-2]=>48
[-3,-1,-4,2]=>48
[-3,-1,-4,-2]=>48
[3,2,1,4]=>12
[3,2,1,-4]=>24
[3,2,-1,4]=>12
[3,2,-1,-4]=>24
[3,-2,1,4]=>24
[3,-2,1,-4]=>12
[3,-2,-1,4]=>24
[3,-2,-1,-4]=>12
[-3,2,1,4]=>12
[-3,2,1,-4]=>24
[-3,2,-1,4]=>12
[-3,2,-1,-4]=>24
[-3,-2,1,4]=>24
[-3,-2,1,-4]=>12
[-3,-2,-1,4]=>24
[-3,-2,-1,-4]=>12
[3,2,4,1]=>32
[3,2,4,-1]=>32
[3,2,-4,1]=>32
[3,2,-4,-1]=>32
[3,-2,4,1]=>32
[3,-2,4,-1]=>32
[3,-2,-4,1]=>32
[3,-2,-4,-1]=>32
[-3,2,4,1]=>32
[-3,2,4,-1]=>32
[-3,2,-4,1]=>32
[-3,2,-4,-1]=>32
[-3,-2,4,1]=>32
[-3,-2,4,-1]=>32
[-3,-2,-4,1]=>32
[-3,-2,-4,-1]=>32
[3,4,1,2]=>12
[3,4,1,-2]=>24
[3,4,-1,2]=>24
[3,4,-1,-2]=>12
[3,-4,1,2]=>24
[3,-4,1,-2]=>12
[3,-4,-1,2]=>12
[3,-4,-1,-2]=>24
[-3,4,1,2]=>24
[-3,4,1,-2]=>12
[-3,4,-1,2]=>12
[-3,4,-1,-2]=>24
[-3,-4,1,2]=>12
[-3,-4,1,-2]=>24
[-3,-4,-1,2]=>24
[-3,-4,-1,-2]=>12
[3,4,2,1]=>48
[3,4,2,-1]=>48
[3,4,-2,1]=>48
[3,4,-2,-1]=>48
[3,-4,2,1]=>48
[3,-4,2,-1]=>48
[3,-4,-2,1]=>48
[3,-4,-2,-1]=>48
[-3,4,2,1]=>48
[-3,4,2,-1]=>48
[-3,4,-2,1]=>48
[-3,4,-2,-1]=>48
[-3,-4,2,1]=>48
[-3,-4,2,-1]=>48
[-3,-4,-2,1]=>48
[-3,-4,-2,-1]=>48
[4,1,2,3]=>48
[4,1,2,-3]=>48
[4,1,-2,3]=>48
[4,1,-2,-3]=>48
[4,-1,2,3]=>48
[4,-1,2,-3]=>48
[4,-1,-2,3]=>48
[4,-1,-2,-3]=>48
[-4,1,2,3]=>48
[-4,1,2,-3]=>48
[-4,1,-2,3]=>48
[-4,1,-2,-3]=>48
[-4,-1,2,3]=>48
[-4,-1,2,-3]=>48
[-4,-1,-2,3]=>48
[-4,-1,-2,-3]=>48
[4,1,3,2]=>32
[4,1,3,-2]=>32
[4,1,-3,2]=>32
[4,1,-3,-2]=>32
[4,-1,3,2]=>32
[4,-1,3,-2]=>32
[4,-1,-3,2]=>32
[4,-1,-3,-2]=>32
[-4,1,3,2]=>32
[-4,1,3,-2]=>32
[-4,1,-3,2]=>32
[-4,1,-3,-2]=>32
[-4,-1,3,2]=>32
[-4,-1,3,-2]=>32
[-4,-1,-3,2]=>32
[-4,-1,-3,-2]=>32
[4,2,1,3]=>32
[4,2,1,-3]=>32
[4,2,-1,3]=>32
[4,2,-1,-3]=>32
[4,-2,1,3]=>32
[4,-2,1,-3]=>32
[4,-2,-1,3]=>32
[4,-2,-1,-3]=>32
[-4,2,1,3]=>32
[-4,2,1,-3]=>32
[-4,2,-1,3]=>32
[-4,2,-1,-3]=>32
[-4,-2,1,3]=>32
[-4,-2,1,-3]=>32
[-4,-2,-1,3]=>32
[-4,-2,-1,-3]=>32
[4,2,3,1]=>12
[4,2,3,-1]=>12
[4,2,-3,1]=>24
[4,2,-3,-1]=>24
[4,-2,3,1]=>24
[4,-2,3,-1]=>24
[4,-2,-3,1]=>12
[4,-2,-3,-1]=>12
[-4,2,3,1]=>12
[-4,2,3,-1]=>12
[-4,2,-3,1]=>24
[-4,2,-3,-1]=>24
[-4,-2,3,1]=>24
[-4,-2,3,-1]=>24
[-4,-2,-3,1]=>12
[-4,-2,-3,-1]=>12
[4,3,1,2]=>48
[4,3,1,-2]=>48
[4,3,-1,2]=>48
[4,3,-1,-2]=>48
[4,-3,1,2]=>48
[4,-3,1,-2]=>48
[4,-3,-1,2]=>48
[4,-3,-1,-2]=>48
[-4,3,1,2]=>48
[-4,3,1,-2]=>48
[-4,3,-1,2]=>48
[-4,3,-1,-2]=>48
[-4,-3,1,2]=>48
[-4,-3,1,-2]=>48
[-4,-3,-1,2]=>48
[-4,-3,-1,-2]=>48
[4,3,2,1]=>12
[4,3,2,-1]=>24
[4,3,-2,1]=>24
[4,3,-2,-1]=>12
[4,-3,2,1]=>24
[4,-3,2,-1]=>12
[4,-3,-2,1]=>12
[4,-3,-2,-1]=>24
[-4,3,2,1]=>24
[-4,3,2,-1]=>12
[-4,3,-2,1]=>12
[-4,3,-2,-1]=>24
[-4,-3,2,1]=>12
[-4,-3,2,-1]=>24
[-4,-3,-2,1]=>24
[-4,-3,-2,-1]=>12
[1,2,3,4,5]=>1
[1,2,3,4,-5]=>5
[1,2,3,-4,5]=>5
[1,2,3,-4,-5]=>10
[1,2,-3,4,5]=>5
[1,2,-3,4,-5]=>10
[1,2,-3,-4,5]=>10
[1,2,-3,-4,-5]=>10
[1,-2,3,4,5]=>5
[1,-2,3,4,-5]=>10
[1,-2,3,-4,5]=>10
[1,-2,3,-4,-5]=>10
[1,-2,-3,4,5]=>10
[1,-2,-3,4,-5]=>10
[1,-2,-3,-4,5]=>10
[1,-2,-3,-4,-5]=>5
[-1,2,3,4,5]=>5
[-1,2,3,4,-5]=>10
[-1,2,3,-4,5]=>10
[-1,2,3,-4,-5]=>10
[-1,2,-3,4,5]=>10
[-1,2,-3,4,-5]=>10
[-1,2,-3,-4,5]=>10
[-1,2,-3,-4,-5]=>5
[-1,-2,3,4,5]=>10
[-1,-2,3,4,-5]=>10
[-1,-2,3,-4,5]=>10
[-1,-2,3,-4,-5]=>5
[-1,-2,-3,4,5]=>10
[-1,-2,-3,4,-5]=>5
[-1,-2,-3,-4,5]=>5
[-1,-2,-3,-4,-5]=>1
[1,2,3,5,4]=>20
[1,2,3,5,-4]=>20
[1,2,3,-5,4]=>20
[1,2,3,-5,-4]=>20
[1,2,-3,5,4]=>60
[1,2,-3,5,-4]=>60
[1,2,-3,-5,4]=>60
[1,2,-3,-5,-4]=>60
[1,-2,3,5,4]=>60
[1,-2,3,5,-4]=>60
[1,-2,3,-5,4]=>60
[1,-2,3,-5,-4]=>60
[1,-2,-3,5,4]=>60
[1,-2,-3,5,-4]=>60
[1,-2,-3,-5,4]=>60
[1,-2,-3,-5,-4]=>60
[-1,2,3,5,4]=>60
[-1,2,3,5,-4]=>60
[-1,2,3,-5,4]=>60
[-1,2,3,-5,-4]=>60
[-1,2,-3,5,4]=>60
[-1,2,-3,5,-4]=>60
[-1,2,-3,-5,4]=>60
[-1,2,-3,-5,-4]=>60
[-1,-2,3,5,4]=>60
[-1,-2,3,5,-4]=>60
[-1,-2,3,-5,4]=>60
[-1,-2,3,-5,-4]=>60
[-1,-2,-3,5,4]=>20
[-1,-2,-3,5,-4]=>20
[-1,-2,-3,-5,4]=>20
[-1,-2,-3,-5,-4]=>20
[1,2,4,3,5]=>20
[1,2,4,3,-5]=>60
[1,2,4,-3,5]=>20
[1,2,4,-3,-5]=>60
[1,2,-4,3,5]=>20
[1,2,-4,3,-5]=>60
[1,2,-4,-3,5]=>20
[1,2,-4,-3,-5]=>60
[1,-2,4,3,5]=>60
[1,-2,4,3,-5]=>60
[1,-2,4,-3,5]=>60
[1,-2,4,-3,-5]=>60
[1,-2,-4,3,5]=>60
[1,-2,-4,3,-5]=>60
[1,-2,-4,-3,5]=>60
[1,-2,-4,-3,-5]=>60
[-1,2,4,3,5]=>60
[-1,2,4,3,-5]=>60
[-1,2,4,-3,5]=>60
[-1,2,4,-3,-5]=>60
[-1,2,-4,3,5]=>60
[-1,2,-4,3,-5]=>60
[-1,2,-4,-3,5]=>60
[-1,2,-4,-3,-5]=>60
[-1,-2,4,3,5]=>60
[-1,-2,4,3,-5]=>20
[-1,-2,4,-3,5]=>60
[-1,-2,4,-3,-5]=>20
[-1,-2,-4,3,5]=>60
[-1,-2,-4,3,-5]=>20
[-1,-2,-4,-3,5]=>60
[-1,-2,-4,-3,-5]=>20
[1,2,4,5,3]=>80
[1,2,4,5,-3]=>80
[1,2,4,-5,3]=>80
[1,2,4,-5,-3]=>80
[1,2,-4,5,3]=>80
[1,2,-4,5,-3]=>80
[1,2,-4,-5,3]=>80
[1,2,-4,-5,-3]=>80
[1,-2,4,5,3]=>160
[1,-2,4,5,-3]=>160
[1,-2,4,-5,3]=>160
[1,-2,4,-5,-3]=>160
[1,-2,-4,5,3]=>160
[1,-2,-4,5,-3]=>160
[1,-2,-4,-5,3]=>160
[1,-2,-4,-5,-3]=>160
[-1,2,4,5,3]=>160
[-1,2,4,5,-3]=>160
[-1,2,4,-5,3]=>160
[-1,2,4,-5,-3]=>160
[-1,2,-4,5,3]=>160
[-1,2,-4,5,-3]=>160
[-1,2,-4,-5,3]=>160
[-1,2,-4,-5,-3]=>160
[-1,-2,4,5,3]=>80
[-1,-2,4,5,-3]=>80
[-1,-2,4,-5,3]=>80
[-1,-2,4,-5,-3]=>80
[-1,-2,-4,5,3]=>80
[-1,-2,-4,5,-3]=>80
[-1,-2,-4,-5,3]=>80
[-1,-2,-4,-5,-3]=>80
[1,2,5,3,4]=>80
[1,2,5,3,-4]=>80
[1,2,5,-3,4]=>80
[1,2,5,-3,-4]=>80
[1,2,-5,3,4]=>80
[1,2,-5,3,-4]=>80
[1,2,-5,-3,4]=>80
[1,2,-5,-3,-4]=>80
[1,-2,5,3,4]=>160
[1,-2,5,3,-4]=>160
[1,-2,5,-3,4]=>160
[1,-2,5,-3,-4]=>160
[1,-2,-5,3,4]=>160
[1,-2,-5,3,-4]=>160
[1,-2,-5,-3,4]=>160
[1,-2,-5,-3,-4]=>160
[-1,2,5,3,4]=>160
[-1,2,5,3,-4]=>160
[-1,2,5,-3,4]=>160
[-1,2,5,-3,-4]=>160
[-1,2,-5,3,4]=>160
[-1,2,-5,3,-4]=>160
[-1,2,-5,-3,4]=>160
[-1,2,-5,-3,-4]=>160
[-1,-2,5,3,4]=>80
[-1,-2,5,3,-4]=>80
[-1,-2,5,-3,4]=>80
[-1,-2,5,-3,-4]=>80
[-1,-2,-5,3,4]=>80
[-1,-2,-5,3,-4]=>80
[-1,-2,-5,-3,4]=>80
[-1,-2,-5,-3,-4]=>80
[1,2,5,4,3]=>20
[1,2,5,4,-3]=>20
[1,2,5,-4,3]=>60
[1,2,5,-4,-3]=>60
[1,2,-5,4,3]=>20
[1,2,-5,4,-3]=>20
[1,2,-5,-4,3]=>60
[1,2,-5,-4,-3]=>60
[1,-2,5,4,3]=>60
[1,-2,5,4,-3]=>60
[1,-2,5,-4,3]=>60
[1,-2,5,-4,-3]=>60
[1,-2,-5,4,3]=>60
[1,-2,-5,4,-3]=>60
[1,-2,-5,-4,3]=>60
[1,-2,-5,-4,-3]=>60
[-1,2,5,4,3]=>60
[-1,2,5,4,-3]=>60
[-1,2,5,-4,3]=>60
[-1,2,5,-4,-3]=>60
[-1,2,-5,4,3]=>60
[-1,2,-5,4,-3]=>60
[-1,2,-5,-4,3]=>60
[-1,2,-5,-4,-3]=>60
[-1,-2,5,4,3]=>60
[-1,-2,5,4,-3]=>60
[-1,-2,5,-4,3]=>20
[-1,-2,5,-4,-3]=>20
[-1,-2,-5,4,3]=>60
[-1,-2,-5,4,-3]=>60
[-1,-2,-5,-4,3]=>20
[-1,-2,-5,-4,-3]=>20
[1,3,2,4,5]=>20
[1,3,2,4,-5]=>60
[1,3,2,-4,5]=>60
[1,3,2,-4,-5]=>60
[1,3,-2,4,5]=>20
[1,3,-2,4,-5]=>60
[1,3,-2,-4,5]=>60
[1,3,-2,-4,-5]=>60
[1,-3,2,4,5]=>20
[1,-3,2,4,-5]=>60
[1,-3,2,-4,5]=>60
[1,-3,2,-4,-5]=>60
[1,-3,-2,4,5]=>20
[1,-3,-2,4,-5]=>60
[1,-3,-2,-4,5]=>60
[1,-3,-2,-4,-5]=>60
[-1,3,2,4,5]=>60
[-1,3,2,4,-5]=>60
[-1,3,2,-4,5]=>60
[-1,3,2,-4,-5]=>20
[-1,3,-2,4,5]=>60
[-1,3,-2,4,-5]=>60
[-1,3,-2,-4,5]=>60
[-1,3,-2,-4,-5]=>20
[-1,-3,2,4,5]=>60
[-1,-3,2,4,-5]=>60
[-1,-3,2,-4,5]=>60
[-1,-3,2,-4,-5]=>20
[-1,-3,-2,4,5]=>60
[-1,-3,-2,4,-5]=>60
[-1,-3,-2,-4,5]=>60
[-1,-3,-2,-4,-5]=>20
[1,3,2,5,4]=>60
[1,3,2,5,-4]=>120
[1,3,2,-5,4]=>120
[1,3,2,-5,-4]=>60
[1,3,-2,5,4]=>120
[1,3,-2,5,-4]=>60
[1,3,-2,-5,4]=>60
[1,3,-2,-5,-4]=>120
[1,-3,2,5,4]=>120
[1,-3,2,5,-4]=>60
[1,-3,2,-5,4]=>60
[1,-3,2,-5,-4]=>120
[1,-3,-2,5,4]=>60
[1,-3,-2,5,-4]=>120
[1,-3,-2,-5,4]=>120
[1,-3,-2,-5,-4]=>60
[-1,3,2,5,4]=>60
[-1,3,2,5,-4]=>120
[-1,3,2,-5,4]=>120
[-1,3,2,-5,-4]=>60
[-1,3,-2,5,4]=>120
[-1,3,-2,5,-4]=>60
[-1,3,-2,-5,4]=>60
[-1,3,-2,-5,-4]=>120
[-1,-3,2,5,4]=>120
[-1,-3,2,5,-4]=>60
[-1,-3,2,-5,4]=>60
[-1,-3,2,-5,-4]=>120
[-1,-3,-2,5,4]=>60
[-1,-3,-2,5,-4]=>120
[-1,-3,-2,-5,4]=>120
[-1,-3,-2,-5,-4]=>60
[1,3,4,2,5]=>80
[1,3,4,2,-5]=>160
[1,3,4,-2,5]=>80
[1,3,4,-2,-5]=>160
[1,3,-4,2,5]=>80
[1,3,-4,2,-5]=>160
[1,3,-4,-2,5]=>80
[1,3,-4,-2,-5]=>160
[1,-3,4,2,5]=>80
[1,-3,4,2,-5]=>160
[1,-3,4,-2,5]=>80
[1,-3,4,-2,-5]=>160
[1,-3,-4,2,5]=>80
[1,-3,-4,2,-5]=>160
[1,-3,-4,-2,5]=>80
[1,-3,-4,-2,-5]=>160
[-1,3,4,2,5]=>160
[-1,3,4,2,-5]=>80
[-1,3,4,-2,5]=>160
[-1,3,4,-2,-5]=>80
[-1,3,-4,2,5]=>160
[-1,3,-4,2,-5]=>80
[-1,3,-4,-2,5]=>160
[-1,3,-4,-2,-5]=>80
[-1,-3,4,2,5]=>160
[-1,-3,4,2,-5]=>80
[-1,-3,4,-2,5]=>160
[-1,-3,4,-2,-5]=>80
[-1,-3,-4,2,5]=>160
[-1,-3,-4,2,-5]=>80
[-1,-3,-4,-2,5]=>160
[-1,-3,-4,-2,-5]=>80
[1,3,4,5,2]=>240
[1,3,4,5,-2]=>240
[1,3,4,-5,2]=>240
[1,3,4,-5,-2]=>240
[1,3,-4,5,2]=>240
[1,3,-4,5,-2]=>240
[1,3,-4,-5,2]=>240
[1,3,-4,-5,-2]=>240
[1,-3,4,5,2]=>240
[1,-3,4,5,-2]=>240
[1,-3,4,-5,2]=>240
[1,-3,4,-5,-2]=>240
[1,-3,-4,5,2]=>240
[1,-3,-4,5,-2]=>240
[1,-3,-4,-5,2]=>240
[1,-3,-4,-5,-2]=>240
[-1,3,4,5,2]=>240
[-1,3,4,5,-2]=>240
[-1,3,4,-5,2]=>240
[-1,3,4,-5,-2]=>240
[-1,3,-4,5,2]=>240
[-1,3,-4,5,-2]=>240
[-1,3,-4,-5,2]=>240
[-1,3,-4,-5,-2]=>240
[-1,-3,4,5,2]=>240
[-1,-3,4,5,-2]=>240
[-1,-3,4,-5,2]=>240
[-1,-3,4,-5,-2]=>240
[-1,-3,-4,5,2]=>240
[-1,-3,-4,5,-2]=>240
[-1,-3,-4,-5,2]=>240
[-1,-3,-4,-5,-2]=>240
[1,3,5,2,4]=>240
[1,3,5,2,-4]=>240
[1,3,5,-2,4]=>240
[1,3,5,-2,-4]=>240
[1,3,-5,2,4]=>240
[1,3,-5,2,-4]=>240
[1,3,-5,-2,4]=>240
[1,3,-5,-2,-4]=>240
[1,-3,5,2,4]=>240
[1,-3,5,2,-4]=>240
[1,-3,5,-2,4]=>240
[1,-3,5,-2,-4]=>240
[1,-3,-5,2,4]=>240
[1,-3,-5,2,-4]=>240
[1,-3,-5,-2,4]=>240
[1,-3,-5,-2,-4]=>240
[-1,3,5,2,4]=>240
[-1,3,5,2,-4]=>240
[-1,3,5,-2,4]=>240
[-1,3,5,-2,-4]=>240
[-1,3,-5,2,4]=>240
[-1,3,-5,2,-4]=>240
[-1,3,-5,-2,4]=>240
[-1,3,-5,-2,-4]=>240
[-1,-3,5,2,4]=>240
[-1,-3,5,2,-4]=>240
[-1,-3,5,-2,4]=>240
[-1,-3,5,-2,-4]=>240
[-1,-3,-5,2,4]=>240
[-1,-3,-5,2,-4]=>240
[-1,-3,-5,-2,4]=>240
[-1,-3,-5,-2,-4]=>240
[1,3,5,4,2]=>80
[1,3,5,4,-2]=>80
[1,3,5,-4,2]=>160
[1,3,5,-4,-2]=>160
[1,3,-5,4,2]=>80
[1,3,-5,4,-2]=>80
[1,3,-5,-4,2]=>160
[1,3,-5,-4,-2]=>160
[1,-3,5,4,2]=>80
[1,-3,5,4,-2]=>80
[1,-3,5,-4,2]=>160
[1,-3,5,-4,-2]=>160
[1,-3,-5,4,2]=>80
[1,-3,-5,4,-2]=>80
[1,-3,-5,-4,2]=>160
[1,-3,-5,-4,-2]=>160
[-1,3,5,4,2]=>160
[-1,3,5,4,-2]=>160
[-1,3,5,-4,2]=>80
[-1,3,5,-4,-2]=>80
[-1,3,-5,4,2]=>160
[-1,3,-5,4,-2]=>160
[-1,3,-5,-4,2]=>80
[-1,3,-5,-4,-2]=>80
[-1,-3,5,4,2]=>160
[-1,-3,5,4,-2]=>160
[-1,-3,5,-4,2]=>80
[-1,-3,5,-4,-2]=>80
[-1,-3,-5,4,2]=>160
[-1,-3,-5,4,-2]=>160
[-1,-3,-5,-4,2]=>80
[-1,-3,-5,-4,-2]=>80
[1,4,2,3,5]=>80
[1,4,2,3,-5]=>160
[1,4,2,-3,5]=>80
[1,4,2,-3,-5]=>160
[1,4,-2,3,5]=>80
[1,4,-2,3,-5]=>160
[1,4,-2,-3,5]=>80
[1,4,-2,-3,-5]=>160
[1,-4,2,3,5]=>80
[1,-4,2,3,-5]=>160
[1,-4,2,-3,5]=>80
[1,-4,2,-3,-5]=>160
[1,-4,-2,3,5]=>80
[1,-4,-2,3,-5]=>160
[1,-4,-2,-3,5]=>80
[1,-4,-2,-3,-5]=>160
[-1,4,2,3,5]=>160
[-1,4,2,3,-5]=>80
[-1,4,2,-3,5]=>160
[-1,4,2,-3,-5]=>80
[-1,4,-2,3,5]=>160
[-1,4,-2,3,-5]=>80
[-1,4,-2,-3,5]=>160
[-1,4,-2,-3,-5]=>80
[-1,-4,2,3,5]=>160
[-1,-4,2,3,-5]=>80
[-1,-4,2,-3,5]=>160
[-1,-4,2,-3,-5]=>80
[-1,-4,-2,3,5]=>160
[-1,-4,-2,3,-5]=>80
[-1,-4,-2,-3,5]=>160
[-1,-4,-2,-3,-5]=>80
[1,4,2,5,3]=>240
[1,4,2,5,-3]=>240
[1,4,2,-5,3]=>240
[1,4,2,-5,-3]=>240
[1,4,-2,5,3]=>240
[1,4,-2,5,-3]=>240
[1,4,-2,-5,3]=>240
[1,4,-2,-5,-3]=>240
[1,-4,2,5,3]=>240
[1,-4,2,5,-3]=>240
[1,-4,2,-5,3]=>240
[1,-4,2,-5,-3]=>240
[1,-4,-2,5,3]=>240
[1,-4,-2,5,-3]=>240
[1,-4,-2,-5,3]=>240
[1,-4,-2,-5,-3]=>240
[-1,4,2,5,3]=>240
[-1,4,2,5,-3]=>240
[-1,4,2,-5,3]=>240
[-1,4,2,-5,-3]=>240
[-1,4,-2,5,3]=>240
[-1,4,-2,5,-3]=>240
[-1,4,-2,-5,3]=>240
[-1,4,-2,-5,-3]=>240
[-1,-4,2,5,3]=>240
[-1,-4,2,5,-3]=>240
[-1,-4,2,-5,3]=>240
[-1,-4,2,-5,-3]=>240
[-1,-4,-2,5,3]=>240
[-1,-4,-2,5,-3]=>240
[-1,-4,-2,-5,3]=>240
[-1,-4,-2,-5,-3]=>240
[1,4,3,2,5]=>20
[1,4,3,2,-5]=>60
[1,4,3,-2,5]=>20
[1,4,3,-2,-5]=>60
[1,4,-3,2,5]=>60
[1,4,-3,2,-5]=>60
[1,4,-3,-2,5]=>60
[1,4,-3,-2,-5]=>60
[1,-4,3,2,5]=>20
[1,-4,3,2,-5]=>60
[1,-4,3,-2,5]=>20
[1,-4,3,-2,-5]=>60
[1,-4,-3,2,5]=>60
[1,-4,-3,2,-5]=>60
[1,-4,-3,-2,5]=>60
[1,-4,-3,-2,-5]=>60
[-1,4,3,2,5]=>60
[-1,4,3,2,-5]=>60
[-1,4,3,-2,5]=>60
[-1,4,3,-2,-5]=>60
[-1,4,-3,2,5]=>60
[-1,4,-3,2,-5]=>20
[-1,4,-3,-2,5]=>60
[-1,4,-3,-2,-5]=>20
[-1,-4,3,2,5]=>60
[-1,-4,3,2,-5]=>60
[-1,-4,3,-2,5]=>60
[-1,-4,3,-2,-5]=>60
[-1,-4,-3,2,5]=>60
[-1,-4,-3,2,-5]=>20
[-1,-4,-3,-2,5]=>60
[-1,-4,-3,-2,-5]=>20
[1,4,3,5,2]=>80
[1,4,3,5,-2]=>80
[1,4,3,-5,2]=>80
[1,4,3,-5,-2]=>80
[1,4,-3,5,2]=>160
[1,4,-3,5,-2]=>160
[1,4,-3,-5,2]=>160
[1,4,-3,-5,-2]=>160
[1,-4,3,5,2]=>80
[1,-4,3,5,-2]=>80
[1,-4,3,-5,2]=>80
[1,-4,3,-5,-2]=>80
[1,-4,-3,5,2]=>160
[1,-4,-3,5,-2]=>160
[1,-4,-3,-5,2]=>160
[1,-4,-3,-5,-2]=>160
[-1,4,3,5,2]=>160
[-1,4,3,5,-2]=>160
[-1,4,3,-5,2]=>160
[-1,4,3,-5,-2]=>160
[-1,4,-3,5,2]=>80
[-1,4,-3,5,-2]=>80
[-1,4,-3,-5,2]=>80
[-1,4,-3,-5,-2]=>80
[-1,-4,3,5,2]=>160
[-1,-4,3,5,-2]=>160
[-1,-4,3,-5,2]=>160
[-1,-4,3,-5,-2]=>160
[-1,-4,-3,5,2]=>80
[-1,-4,-3,5,-2]=>80
[-1,-4,-3,-5,2]=>80
[-1,-4,-3,-5,-2]=>80
[1,4,5,2,3]=>60
[1,4,5,2,-3]=>120
[1,4,5,-2,3]=>120
[1,4,5,-2,-3]=>60
[1,4,-5,2,3]=>120
[1,4,-5,2,-3]=>60
[1,4,-5,-2,3]=>60
[1,4,-5,-2,-3]=>120
[1,-4,5,2,3]=>120
[1,-4,5,2,-3]=>60
[1,-4,5,-2,3]=>60
[1,-4,5,-2,-3]=>120
[1,-4,-5,2,3]=>60
[1,-4,-5,2,-3]=>120
[1,-4,-5,-2,3]=>120
[1,-4,-5,-2,-3]=>60
[-1,4,5,2,3]=>60
[-1,4,5,2,-3]=>120
[-1,4,5,-2,3]=>120
[-1,4,5,-2,-3]=>60
[-1,4,-5,2,3]=>120
[-1,4,-5,2,-3]=>60
[-1,4,-5,-2,3]=>60
[-1,4,-5,-2,-3]=>120
[-1,-4,5,2,3]=>120
[-1,-4,5,2,-3]=>60
[-1,-4,5,-2,3]=>60
[-1,-4,5,-2,-3]=>120
[-1,-4,-5,2,3]=>60
[-1,-4,-5,2,-3]=>120
[-1,-4,-5,-2,3]=>120
[-1,-4,-5,-2,-3]=>60
[1,4,5,3,2]=>240
[1,4,5,3,-2]=>240
[1,4,5,-3,2]=>240
[1,4,5,-3,-2]=>240
[1,4,-5,3,2]=>240
[1,4,-5,3,-2]=>240
[1,4,-5,-3,2]=>240
[1,4,-5,-3,-2]=>240
[1,-4,5,3,2]=>240
[1,-4,5,3,-2]=>240
[1,-4,5,-3,2]=>240
[1,-4,5,-3,-2]=>240
[1,-4,-5,3,2]=>240
[1,-4,-5,3,-2]=>240
[1,-4,-5,-3,2]=>240
[1,-4,-5,-3,-2]=>240
[-1,4,5,3,2]=>240
[-1,4,5,3,-2]=>240
[-1,4,5,-3,2]=>240
[-1,4,5,-3,-2]=>240
[-1,4,-5,3,2]=>240
[-1,4,-5,3,-2]=>240
[-1,4,-5,-3,2]=>240
[-1,4,-5,-3,-2]=>240
[-1,-4,5,3,2]=>240
[-1,-4,5,3,-2]=>240
[-1,-4,5,-3,2]=>240
[-1,-4,5,-3,-2]=>240
[-1,-4,-5,3,2]=>240
[-1,-4,-5,3,-2]=>240
[-1,-4,-5,-3,2]=>240
[-1,-4,-5,-3,-2]=>240
[1,5,2,3,4]=>240
[1,5,2,3,-4]=>240
[1,5,2,-3,4]=>240
[1,5,2,-3,-4]=>240
[1,5,-2,3,4]=>240
[1,5,-2,3,-4]=>240
[1,5,-2,-3,4]=>240
[1,5,-2,-3,-4]=>240
[1,-5,2,3,4]=>240
[1,-5,2,3,-4]=>240
[1,-5,2,-3,4]=>240
[1,-5,2,-3,-4]=>240
[1,-5,-2,3,4]=>240
[1,-5,-2,3,-4]=>240
[1,-5,-2,-3,4]=>240
[1,-5,-2,-3,-4]=>240
[-1,5,2,3,4]=>240
[-1,5,2,3,-4]=>240
[-1,5,2,-3,4]=>240
[-1,5,2,-3,-4]=>240
[-1,5,-2,3,4]=>240
[-1,5,-2,3,-4]=>240
[-1,5,-2,-3,4]=>240
[-1,5,-2,-3,-4]=>240
[-1,-5,2,3,4]=>240
[-1,-5,2,3,-4]=>240
[-1,-5,2,-3,4]=>240
[-1,-5,2,-3,-4]=>240
[-1,-5,-2,3,4]=>240
[-1,-5,-2,3,-4]=>240
[-1,-5,-2,-3,4]=>240
[-1,-5,-2,-3,-4]=>240
[1,5,2,4,3]=>80
[1,5,2,4,-3]=>80
[1,5,2,-4,3]=>160
[1,5,2,-4,-3]=>160
[1,5,-2,4,3]=>80
[1,5,-2,4,-3]=>80
[1,5,-2,-4,3]=>160
[1,5,-2,-4,-3]=>160
[1,-5,2,4,3]=>80
[1,-5,2,4,-3]=>80
[1,-5,2,-4,3]=>160
[1,-5,2,-4,-3]=>160
[1,-5,-2,4,3]=>80
[1,-5,-2,4,-3]=>80
[1,-5,-2,-4,3]=>160
[1,-5,-2,-4,-3]=>160
[-1,5,2,4,3]=>160
[-1,5,2,4,-3]=>160
[-1,5,2,-4,3]=>80
[-1,5,2,-4,-3]=>80
[-1,5,-2,4,3]=>160
[-1,5,-2,4,-3]=>160
[-1,5,-2,-4,3]=>80
[-1,5,-2,-4,-3]=>80
[-1,-5,2,4,3]=>160
[-1,-5,2,4,-3]=>160
[-1,-5,2,-4,3]=>80
[-1,-5,2,-4,-3]=>80
[-1,-5,-2,4,3]=>160
[-1,-5,-2,4,-3]=>160
[-1,-5,-2,-4,3]=>80
[-1,-5,-2,-4,-3]=>80
[1,5,3,2,4]=>80
[1,5,3,2,-4]=>80
[1,5,3,-2,4]=>80
[1,5,3,-2,-4]=>80
[1,5,-3,2,4]=>160
[1,5,-3,2,-4]=>160
[1,5,-3,-2,4]=>160
[1,5,-3,-2,-4]=>160
[1,-5,3,2,4]=>80
[1,-5,3,2,-4]=>80
[1,-5,3,-2,4]=>80
[1,-5,3,-2,-4]=>80
[1,-5,-3,2,4]=>160
[1,-5,-3,2,-4]=>160
[1,-5,-3,-2,4]=>160
[1,-5,-3,-2,-4]=>160
[-1,5,3,2,4]=>160
[-1,5,3,2,-4]=>160
[-1,5,3,-2,4]=>160
[-1,5,3,-2,-4]=>160
[-1,5,-3,2,4]=>80
[-1,5,-3,2,-4]=>80
[-1,5,-3,-2,4]=>80
[-1,5,-3,-2,-4]=>80
[-1,-5,3,2,4]=>160
[-1,-5,3,2,-4]=>160
[-1,-5,3,-2,4]=>160
[-1,-5,3,-2,-4]=>160
[-1,-5,-3,2,4]=>80
[-1,-5,-3,2,-4]=>80
[-1,-5,-3,-2,4]=>80
[-1,-5,-3,-2,-4]=>80
[1,5,3,4,2]=>20
[1,5,3,4,-2]=>20
[1,5,3,-4,2]=>60
[1,5,3,-4,-2]=>60
[1,5,-3,4,2]=>60
[1,5,-3,4,-2]=>60
[1,5,-3,-4,2]=>60
[1,5,-3,-4,-2]=>60
[1,-5,3,4,2]=>20
[1,-5,3,4,-2]=>20
[1,-5,3,-4,2]=>60
[1,-5,3,-4,-2]=>60
[1,-5,-3,4,2]=>60
[1,-5,-3,4,-2]=>60
[1,-5,-3,-4,2]=>60
[1,-5,-3,-4,-2]=>60
[-1,5,3,4,2]=>60
[-1,5,3,4,-2]=>60
[-1,5,3,-4,2]=>60
[-1,5,3,-4,-2]=>60
[-1,5,-3,4,2]=>60
[-1,5,-3,4,-2]=>60
[-1,5,-3,-4,2]=>20
[-1,5,-3,-4,-2]=>20
[-1,-5,3,4,2]=>60
[-1,-5,3,4,-2]=>60
[-1,-5,3,-4,2]=>60
[-1,-5,3,-4,-2]=>60
[-1,-5,-3,4,2]=>60
[-1,-5,-3,4,-2]=>60
[-1,-5,-3,-4,2]=>20
[-1,-5,-3,-4,-2]=>20
[1,5,4,2,3]=>240
[1,5,4,2,-3]=>240
[1,5,4,-2,3]=>240
[1,5,4,-2,-3]=>240
[1,5,-4,2,3]=>240
[1,5,-4,2,-3]=>240
[1,5,-4,-2,3]=>240
[1,5,-4,-2,-3]=>240
[1,-5,4,2,3]=>240
[1,-5,4,2,-3]=>240
[1,-5,4,-2,3]=>240
[1,-5,4,-2,-3]=>240
[1,-5,-4,2,3]=>240
[1,-5,-4,2,-3]=>240
[1,-5,-4,-2,3]=>240
[1,-5,-4,-2,-3]=>240
[-1,5,4,2,3]=>240
[-1,5,4,2,-3]=>240
[-1,5,4,-2,3]=>240
[-1,5,4,-2,-3]=>240
[-1,5,-4,2,3]=>240
[-1,5,-4,2,-3]=>240
[-1,5,-4,-2,3]=>240
[-1,5,-4,-2,-3]=>240
[-1,-5,4,2,3]=>240
[-1,-5,4,2,-3]=>240
[-1,-5,4,-2,3]=>240
[-1,-5,4,-2,-3]=>240
[-1,-5,-4,2,3]=>240
[-1,-5,-4,2,-3]=>240
[-1,-5,-4,-2,3]=>240
[-1,-5,-4,-2,-3]=>240
[1,5,4,3,2]=>60
[1,5,4,3,-2]=>120
[1,5,4,-3,2]=>120
[1,5,4,-3,-2]=>60
[1,5,-4,3,2]=>120
[1,5,-4,3,-2]=>60
[1,5,-4,-3,2]=>60
[1,5,-4,-3,-2]=>120
[1,-5,4,3,2]=>120
[1,-5,4,3,-2]=>60
[1,-5,4,-3,2]=>60
[1,-5,4,-3,-2]=>120
[1,-5,-4,3,2]=>60
[1,-5,-4,3,-2]=>120
[1,-5,-4,-3,2]=>120
[1,-5,-4,-3,-2]=>60
[-1,5,4,3,2]=>60
[-1,5,4,3,-2]=>120
[-1,5,4,-3,2]=>120
[-1,5,4,-3,-2]=>60
[-1,5,-4,3,2]=>120
[-1,5,-4,3,-2]=>60
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Description
The size of the conjugacy class of the signed permutation.
Code
def statistic(pi): return pi.conjugacy_class().cardinality()
Created
Nov 26, 2022 at 12:17 by Martin Rubey
Updated
Nov 26, 2022 at 12:17 by Martin Rubey
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