Identifier
- St001854: Signed permutations ⟶ ℤ
Values
=>
[1,2]=>1
[1,-2]=>3
[-1,2]=>3
[-1,-2]=>1
[2,1]=>3
[2,-1]=>3
[-2,1]=>3
[-2,-1]=>3
[1,2,3]=>1
[1,2,-3]=>4
[1,-2,3]=>5
[1,-2,-3]=>5
[-1,2,3]=>5
[-1,2,-3]=>5
[-1,-2,3]=>4
[-1,-2,-3]=>1
[1,3,2]=>5
[1,3,-2]=>5
[1,-3,2]=>4
[1,-3,-2]=>4
[-1,3,2]=>4
[-1,3,-2]=>4
[-1,-3,2]=>5
[-1,-3,-2]=>5
[2,1,3]=>5
[2,1,-3]=>3
[2,-1,3]=>5
[2,-1,-3]=>5
[-2,1,3]=>5
[-2,1,-3]=>5
[-2,-1,3]=>3
[-2,-1,-3]=>5
[2,3,1]=>5
[2,3,-1]=>5
[2,-3,1]=>3
[2,-3,-1]=>3
[-2,3,1]=>3
[-2,3,-1]=>3
[-2,-3,1]=>5
[-2,-3,-1]=>5
[3,1,2]=>5
[3,1,-2]=>3
[3,-1,2]=>3
[3,-1,-2]=>4
[-3,1,2]=>4
[-3,1,-2]=>3
[-3,-1,2]=>3
[-3,-1,-2]=>5
[3,2,1]=>3
[3,2,-1]=>3
[3,-2,1]=>3
[3,-2,-1]=>3
[-3,2,1]=>3
[-3,2,-1]=>3
[-3,-2,1]=>3
[-3,-2,-1]=>3
[1,2,3,4]=>1
[1,2,3,-4]=>5
[1,2,-3,4]=>7
[1,2,-3,-4]=>9
[1,-2,3,4]=>7
[1,-2,3,-4]=>9
[1,-2,-3,4]=>9
[1,-2,-3,-4]=>7
[-1,2,3,4]=>7
[-1,2,3,-4]=>9
[-1,2,-3,4]=>9
[-1,2,-3,-4]=>7
[-1,-2,3,4]=>9
[-1,-2,3,-4]=>7
[-1,-2,-3,4]=>5
[-1,-2,-3,-4]=>1
[1,2,4,3]=>7
[1,2,4,-3]=>7
[1,2,-4,3]=>5
[1,2,-4,-3]=>5
[1,-2,4,3]=>9
[1,-2,4,-3]=>9
[1,-2,-4,3]=>9
[1,-2,-4,-3]=>9
[-1,2,4,3]=>9
[-1,2,4,-3]=>9
[-1,2,-4,3]=>9
[-1,2,-4,-3]=>9
[-1,-2,4,3]=>5
[-1,-2,4,-3]=>5
[-1,-2,-4,3]=>7
[-1,-2,-4,-3]=>7
[1,3,2,4]=>7
[1,3,2,-4]=>10
[1,3,-2,4]=>7
[1,3,-2,-4]=>9
[1,-3,2,4]=>7
[1,-3,2,-4]=>9
[1,-3,-2,4]=>8
[1,-3,-2,-4]=>9
[-1,3,2,4]=>9
[-1,3,2,-4]=>8
[-1,3,-2,4]=>9
[-1,3,-2,-4]=>7
[-1,-3,2,4]=>9
[-1,-3,2,-4]=>7
[-1,-3,-2,4]=>10
[-1,-3,-2,-4]=>7
[1,3,4,2]=>7
[1,3,4,-2]=>7
[1,3,-4,2]=>10
[1,3,-4,-2]=>10
[1,-3,4,2]=>8
[1,-3,4,-2]=>8
[1,-3,-4,2]=>9
[1,-3,-4,-2]=>9
[-1,3,4,2]=>9
[-1,3,4,-2]=>9
[-1,3,-4,2]=>8
[-1,3,-4,-2]=>8
[-1,-3,4,2]=>10
[-1,-3,4,-2]=>10
[-1,-3,-4,2]=>7
[-1,-3,-4,-2]=>7
[1,4,2,3]=>7
[1,4,2,-3]=>10
[1,4,-2,3]=>8
[1,4,-2,-3]=>9
[1,-4,2,3]=>5
[1,-4,2,-3]=>10
[1,-4,-2,3]=>8
[1,-4,-2,-3]=>9
[-1,4,2,3]=>9
[-1,4,2,-3]=>8
[-1,4,-2,3]=>10
[-1,4,-2,-3]=>5
[-1,-4,2,3]=>9
[-1,-4,2,-3]=>8
[-1,-4,-2,3]=>10
[-1,-4,-2,-3]=>7
[1,4,3,2]=>8
[1,4,3,-2]=>8
[1,4,-3,2]=>10
[1,4,-3,-2]=>10
[1,-4,3,2]=>8
[1,-4,3,-2]=>8
[1,-4,-3,2]=>10
[1,-4,-3,-2]=>10
[-1,4,3,2]=>10
[-1,4,3,-2]=>10
[-1,4,-3,2]=>8
[-1,4,-3,-2]=>8
[-1,-4,3,2]=>10
[-1,-4,3,-2]=>10
[-1,-4,-3,2]=>8
[-1,-4,-3,-2]=>8
[2,1,3,4]=>7
[2,1,3,-4]=>10
[2,1,-3,4]=>8
[2,1,-3,-4]=>8
[2,-1,3,4]=>7
[2,-1,3,-4]=>9
[2,-1,-3,4]=>9
[2,-1,-3,-4]=>7
[-2,1,3,4]=>7
[-2,1,3,-4]=>9
[-2,1,-3,4]=>9
[-2,1,-3,-4]=>7
[-2,-1,3,4]=>8
[-2,-1,3,-4]=>8
[-2,-1,-3,4]=>10
[-2,-1,-3,-4]=>7
[2,1,4,3]=>8
[2,1,4,-3]=>8
[2,1,-4,3]=>10
[2,1,-4,-3]=>10
[2,-1,4,3]=>9
[2,-1,4,-3]=>9
[2,-1,-4,3]=>9
[2,-1,-4,-3]=>9
[-2,1,4,3]=>9
[-2,1,4,-3]=>9
[-2,1,-4,3]=>9
[-2,1,-4,-3]=>9
[-2,-1,4,3]=>10
[-2,-1,4,-3]=>10
[-2,-1,-4,3]=>8
[-2,-1,-4,-3]=>8
[2,3,1,4]=>7
[2,3,1,-4]=>10
[2,3,-1,4]=>7
[2,3,-1,-4]=>9
[2,-3,1,4]=>8
[2,-3,1,-4]=>8
[2,-3,-1,4]=>8
[2,-3,-1,-4]=>8
[-2,3,1,4]=>8
[-2,3,1,-4]=>8
[-2,3,-1,4]=>8
[-2,3,-1,-4]=>8
[-2,-3,1,4]=>9
[-2,-3,1,-4]=>7
[-2,-3,-1,4]=>10
[-2,-3,-1,-4]=>7
[2,3,4,1]=>7
[2,3,4,-1]=>7
[2,3,-4,1]=>10
[2,3,-4,-1]=>10
[2,-3,4,1]=>8
[2,-3,4,-1]=>8
[2,-3,-4,1]=>8
[2,-3,-4,-1]=>8
[-2,3,4,1]=>8
[-2,3,4,-1]=>8
[-2,3,-4,1]=>8
[-2,3,-4,-1]=>8
[-2,-3,4,1]=>10
[-2,-3,4,-1]=>10
[-2,-3,-4,1]=>7
[-2,-3,-4,-1]=>7
[2,4,1,3]=>8
[2,4,1,-3]=>8
[2,4,-1,3]=>8
[2,4,-1,-3]=>9
[2,-4,1,3]=>10
[2,-4,1,-3]=>10
[2,-4,-1,3]=>8
[2,-4,-1,-3]=>9
[-2,4,1,3]=>9
[-2,4,1,-3]=>8
[-2,4,-1,3]=>10
[-2,4,-1,-3]=>10
[-2,-4,1,3]=>9
[-2,-4,1,-3]=>8
[-2,-4,-1,3]=>8
[-2,-4,-1,-3]=>8
[2,4,3,1]=>8
[2,4,3,-1]=>8
[2,4,-3,1]=>8
[2,4,-3,-1]=>8
[2,-4,3,1]=>8
[2,-4,3,-1]=>8
[2,-4,-3,1]=>10
[2,-4,-3,-1]=>10
[-2,4,3,1]=>10
[-2,4,3,-1]=>10
[-2,4,-3,1]=>8
[-2,4,-3,-1]=>8
[-2,-4,3,1]=>8
[-2,-4,3,-1]=>8
[-2,-4,-3,1]=>8
[-2,-4,-3,-1]=>8
[3,1,2,4]=>7
[3,1,2,-4]=>10
[3,1,-2,4]=>8
[3,1,-2,-4]=>8
[3,-1,2,4]=>8
[3,-1,2,-4]=>8
[3,-1,-2,4]=>9
[3,-1,-2,-4]=>7
[-3,1,2,4]=>7
[-3,1,2,-4]=>9
[-3,1,-2,4]=>8
[-3,1,-2,-4]=>8
[-3,-1,2,4]=>8
[-3,-1,2,-4]=>8
[-3,-1,-2,4]=>10
[-3,-1,-2,-4]=>7
[3,1,4,2]=>8
[3,1,4,-2]=>8
[3,1,-4,2]=>10
[3,1,-4,-2]=>10
[3,-1,4,2]=>9
[3,-1,4,-2]=>9
[3,-1,-4,2]=>8
[3,-1,-4,-2]=>8
[-3,1,4,2]=>8
[-3,1,4,-2]=>8
[-3,1,-4,2]=>9
[-3,1,-4,-2]=>9
[-3,-1,4,2]=>10
[-3,-1,4,-2]=>10
[-3,-1,-4,2]=>8
[-3,-1,-4,-2]=>8
[3,2,1,4]=>8
[3,2,1,-4]=>6
[3,2,-1,4]=>8
[3,2,-1,-4]=>8
[3,-2,1,4]=>8
[3,-2,1,-4]=>8
[3,-2,-1,4]=>8
[3,-2,-1,-4]=>8
[-3,2,1,4]=>8
[-3,2,1,-4]=>8
[-3,2,-1,4]=>8
[-3,2,-1,-4]=>8
[-3,-2,1,4]=>8
[-3,-2,1,-4]=>8
[-3,-2,-1,4]=>6
[-3,-2,-1,-4]=>8
[3,2,4,1]=>8
[3,2,4,-1]=>8
[3,2,-4,1]=>6
[3,2,-4,-1]=>6
[3,-2,4,1]=>8
[3,-2,4,-1]=>8
[3,-2,-4,1]=>8
[3,-2,-4,-1]=>8
[-3,2,4,1]=>8
[-3,2,4,-1]=>8
[-3,2,-4,1]=>8
[-3,2,-4,-1]=>8
[-3,-2,4,1]=>6
[-3,-2,4,-1]=>6
[-3,-2,-4,1]=>8
[-3,-2,-4,-1]=>8
[3,4,1,2]=>8
[3,4,1,-2]=>8
[3,4,-1,2]=>8
[3,4,-1,-2]=>9
[3,-4,1,2]=>10
[3,-4,1,-2]=>10
[3,-4,-1,2]=>6
[3,-4,-1,-2]=>8
[-3,4,1,2]=>8
[-3,4,1,-2]=>6
[-3,4,-1,2]=>10
[-3,4,-1,-2]=>10
[-3,-4,1,2]=>9
[-3,-4,1,-2]=>8
[-3,-4,-1,2]=>8
[-3,-4,-1,-2]=>8
[3,4,2,1]=>8
[3,4,2,-1]=>8
[3,4,-2,1]=>8
[3,4,-2,-1]=>8
[3,-4,2,1]=>6
[3,-4,2,-1]=>6
[3,-4,-2,1]=>10
[3,-4,-2,-1]=>10
[-3,4,2,1]=>10
[-3,4,2,-1]=>10
[-3,4,-2,1]=>6
[-3,4,-2,-1]=>6
[-3,-4,2,1]=>8
[-3,-4,2,-1]=>8
[-3,-4,-2,1]=>8
[-3,-4,-2,-1]=>8
[4,1,2,3]=>7
[4,1,2,-3]=>10
[4,1,-2,3]=>8
[4,1,-2,-3]=>8
[4,-1,2,3]=>8
[4,-1,2,-3]=>8
[4,-1,-2,3]=>10
[4,-1,-2,-3]=>5
[-4,1,2,3]=>5
[-4,1,2,-3]=>10
[-4,1,-2,3]=>8
[-4,1,-2,-3]=>8
[-4,-1,2,3]=>8
[-4,-1,2,-3]=>8
[-4,-1,-2,3]=>10
[-4,-1,-2,-3]=>7
[4,1,3,2]=>8
[4,1,3,-2]=>8
[4,1,-3,2]=>10
[4,1,-3,-2]=>10
[4,-1,3,2]=>10
[4,-1,3,-2]=>10
[4,-1,-3,2]=>8
[4,-1,-3,-2]=>8
[-4,1,3,2]=>8
[-4,1,3,-2]=>8
[-4,1,-3,2]=>10
[-4,1,-3,-2]=>10
[-4,-1,3,2]=>10
[-4,-1,3,-2]=>10
[-4,-1,-3,2]=>8
[-4,-1,-3,-2]=>8
[4,2,1,3]=>8
[4,2,1,-3]=>6
[4,2,-1,3]=>8
[4,2,-1,-3]=>8
[4,-2,1,3]=>8
[4,-2,1,-3]=>8
[4,-2,-1,3]=>6
[4,-2,-1,-3]=>8
[-4,2,1,3]=>8
[-4,2,1,-3]=>6
[-4,2,-1,3]=>8
[-4,2,-1,-3]=>8
[-4,-2,1,3]=>8
[-4,-2,1,-3]=>8
[-4,-2,-1,3]=>6
[-4,-2,-1,-3]=>8
[4,2,3,1]=>8
[4,2,3,-1]=>8
[4,2,-3,1]=>6
[4,2,-3,-1]=>6
[4,-2,3,1]=>6
[4,-2,3,-1]=>6
[4,-2,-3,1]=>8
[4,-2,-3,-1]=>8
[-4,2,3,1]=>8
[-4,2,3,-1]=>8
[-4,2,-3,1]=>6
[-4,2,-3,-1]=>6
[-4,-2,3,1]=>6
[-4,-2,3,-1]=>6
[-4,-2,-3,1]=>8
[-4,-2,-3,-1]=>8
[4,3,1,2]=>8
[4,3,1,-2]=>6
[4,3,-1,2]=>10
[4,3,-1,-2]=>10
[4,-3,1,2]=>10
[4,-3,1,-2]=>10
[4,-3,-1,2]=>6
[4,-3,-1,-2]=>8
[-4,3,1,2]=>8
[-4,3,1,-2]=>6
[-4,3,-1,2]=>10
[-4,3,-1,-2]=>10
[-4,-3,1,2]=>10
[-4,-3,1,-2]=>10
[-4,-3,-1,2]=>6
[-4,-3,-1,-2]=>8
[4,3,2,1]=>10
[4,3,2,-1]=>10
[4,3,-2,1]=>6
[4,3,-2,-1]=>6
[4,-3,2,1]=>6
[4,-3,2,-1]=>6
[4,-3,-2,1]=>10
[4,-3,-2,-1]=>10
[-4,3,2,1]=>10
[-4,3,2,-1]=>10
[-4,3,-2,1]=>6
[-4,3,-2,-1]=>6
[-4,-3,2,1]=>6
[-4,-3,2,-1]=>6
[-4,-3,-2,1]=>10
[-4,-3,-2,-1]=>10
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Description
The size of the left Kazhdan-Lusztig cell,
Code
def statistic(pi): return len(pi.kazhdan_lusztig_cell("left"))
Created
Nov 26, 2022 at 23:02 by Martin Rubey
Updated
Nov 26, 2022 at 23:02 by Martin Rubey
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