Identifier
- St000101: Semistandard tableaux ⟶ ℤ
Values
=>
Cc0019;cc-rep
[[1]]=>0
[[1,1]]=>0
[[1,2]]=>0
[[2,2]]=>0
[[1],[2]]=>1
[[1,1,1]]=>0
[[1,1,2]]=>0
[[1,2,2]]=>0
[[2,2,2]]=>0
[[1,1],[2]]=>1
[[1,2],[2]]=>1
[[1,1,3]]=>0
[[1,2,3]]=>0
[[1,3,3]]=>0
[[2,2,3]]=>0
[[2,3,3]]=>0
[[3,3,3]]=>0
[[1,1],[3]]=>1
[[1,2],[3]]=>1
[[1,3],[2]]=>2
[[1,3],[3]]=>1
[[2,2],[3]]=>1
[[2,3],[3]]=>1
[[1],[2],[3]]=>3
[[1,1,1,1]]=>0
[[1,1,1,2]]=>0
[[1,1,2,2]]=>0
[[1,2,2,2]]=>0
[[2,2,2,2]]=>0
[[1,1,1],[2]]=>1
[[1,1,2],[2]]=>1
[[1,2,2],[2]]=>1
[[1,1],[2,2]]=>2
[[1,1,1,3]]=>0
[[1,1,2,3]]=>0
[[1,1,3,3]]=>0
[[1,2,2,3]]=>0
[[1,2,3,3]]=>0
[[1,3,3,3]]=>0
[[2,2,2,3]]=>0
[[2,2,3,3]]=>0
[[2,3,3,3]]=>0
[[3,3,3,3]]=>0
[[1,1,1],[3]]=>1
[[1,1,2],[3]]=>1
[[1,1,3],[2]]=>2
[[1,1,3],[3]]=>1
[[1,2,2],[3]]=>1
[[1,2,3],[2]]=>2
[[1,2,3],[3]]=>1
[[1,3,3],[2]]=>2
[[1,3,3],[3]]=>1
[[2,2,2],[3]]=>1
[[2,2,3],[3]]=>1
[[2,3,3],[3]]=>1
[[1,1],[2,3]]=>2
[[1,1],[3,3]]=>2
[[1,2],[2,3]]=>2
[[1,2],[3,3]]=>2
[[2,2],[3,3]]=>2
[[1,1],[2],[3]]=>3
[[1,2],[2],[3]]=>3
[[1,3],[2],[3]]=>3
[[1,1,1,4]]=>0
[[1,1,2,4]]=>0
[[1,1,3,4]]=>0
[[1,1,4,4]]=>0
[[1,2,2,4]]=>0
[[1,2,3,4]]=>0
[[1,2,4,4]]=>0
[[1,3,3,4]]=>0
[[1,3,4,4]]=>0
[[1,4,4,4]]=>0
[[2,2,2,4]]=>0
[[2,2,3,4]]=>0
[[2,2,4,4]]=>0
[[2,3,3,4]]=>0
[[2,3,4,4]]=>0
[[2,4,4,4]]=>0
[[3,3,3,4]]=>0
[[3,3,4,4]]=>0
[[3,4,4,4]]=>0
[[4,4,4,4]]=>0
[[1,1,1],[4]]=>1
[[1,1,2],[4]]=>1
[[1,1,4],[2]]=>2
[[1,1,3],[4]]=>1
[[1,1,4],[3]]=>2
[[1,1,4],[4]]=>1
[[1,2,2],[4]]=>1
[[1,2,4],[2]]=>2
[[1,2,3],[4]]=>1
[[1,2,4],[3]]=>2
[[1,3,4],[2]]=>3
[[1,2,4],[4]]=>1
[[1,4,4],[2]]=>2
[[1,3,3],[4]]=>1
[[1,3,4],[3]]=>2
[[1,3,4],[4]]=>1
[[1,4,4],[3]]=>2
[[1,4,4],[4]]=>1
[[2,2,2],[4]]=>1
[[2,2,3],[4]]=>1
[[2,2,4],[3]]=>2
[[2,2,4],[4]]=>1
[[2,3,3],[4]]=>1
[[2,3,4],[3]]=>2
[[2,3,4],[4]]=>1
[[2,4,4],[3]]=>2
[[2,4,4],[4]]=>1
[[3,3,3],[4]]=>1
[[3,3,4],[4]]=>1
[[3,4,4],[4]]=>1
[[1,1],[2,4]]=>2
[[1,1],[3,4]]=>2
[[1,1],[4,4]]=>2
[[1,2],[2,4]]=>2
[[1,2],[3,4]]=>2
[[1,3],[2,4]]=>4
[[1,2],[4,4]]=>2
[[1,3],[3,4]]=>2
[[1,3],[4,4]]=>2
[[2,2],[3,4]]=>2
[[2,2],[4,4]]=>2
[[2,3],[3,4]]=>2
[[2,3],[4,4]]=>2
[[3,3],[4,4]]=>2
[[1,1],[2],[4]]=>3
[[1,1],[3],[4]]=>3
[[1,2],[2],[4]]=>3
[[1,2],[3],[4]]=>3
[[1,3],[2],[4]]=>4
[[1,4],[2],[3]]=>5
[[1,4],[2],[4]]=>3
[[1,3],[3],[4]]=>3
[[1,4],[3],[4]]=>3
[[2,2],[3],[4]]=>3
[[2,3],[3],[4]]=>3
[[2,4],[3],[4]]=>3
[[1],[2],[3],[4]]=>6
[[1,1,1,1,1]]=>0
[[1,1,1,1,2]]=>0
[[1,1,1,2,2]]=>0
[[1,1,2,2,2]]=>0
[[1,2,2,2,2]]=>0
[[2,2,2,2,2]]=>0
[[1,1,1,1],[2]]=>1
[[1,1,1,2],[2]]=>1
[[1,1,2,2],[2]]=>1
[[1,2,2,2],[2]]=>1
[[1,1,1],[2,2]]=>2
[[1,1,2],[2,2]]=>2
[[1,1,1,1,3]]=>0
[[1,1,1,2,3]]=>0
[[1,1,1,3,3]]=>0
[[1,1,2,2,3]]=>0
[[1,1,2,3,3]]=>0
[[1,1,3,3,3]]=>0
[[1,2,2,2,3]]=>0
[[1,2,2,3,3]]=>0
[[1,2,3,3,3]]=>0
[[1,3,3,3,3]]=>0
[[2,2,2,2,3]]=>0
[[2,2,2,3,3]]=>0
[[2,2,3,3,3]]=>0
[[2,3,3,3,3]]=>0
[[3,3,3,3,3]]=>0
[[1,1,1,1],[3]]=>1
[[1,1,1,2],[3]]=>1
[[1,1,1,3],[2]]=>2
[[1,1,1,3],[3]]=>1
[[1,1,2,2],[3]]=>1
[[1,1,2,3],[2]]=>2
[[1,1,2,3],[3]]=>1
[[1,1,3,3],[2]]=>2
[[1,1,3,3],[3]]=>1
[[1,2,2,2],[3]]=>1
[[1,2,2,3],[2]]=>2
[[1,2,2,3],[3]]=>1
[[1,2,3,3],[2]]=>2
[[1,2,3,3],[3]]=>1
[[1,3,3,3],[2]]=>2
[[1,3,3,3],[3]]=>1
[[2,2,2,2],[3]]=>1
[[2,2,2,3],[3]]=>1
[[2,2,3,3],[3]]=>1
[[2,3,3,3],[3]]=>1
[[1,1,1],[2,3]]=>2
[[1,1,1],[3,3]]=>2
[[1,1,2],[2,3]]=>2
[[1,1,3],[2,2]]=>3
[[1,1,2],[3,3]]=>2
[[1,1,3],[2,3]]=>3
[[1,1,3],[3,3]]=>2
[[1,2,2],[2,3]]=>2
[[1,2,2],[3,3]]=>2
[[1,2,3],[2,3]]=>3
[[1,2,3],[3,3]]=>2
[[2,2,2],[3,3]]=>2
[[2,2,3],[3,3]]=>2
[[1,1,1],[2],[3]]=>3
[[1,1,2],[2],[3]]=>3
[[1,1,3],[2],[3]]=>3
[[1,2,2],[2],[3]]=>3
[[1,2,3],[2],[3]]=>3
[[1,3,3],[2],[3]]=>3
[[1,1],[2,2],[3]]=>4
[[1,1],[2,3],[3]]=>4
[[1,2],[2,3],[3]]=>4
[[1,1,1,1,4]]=>0
[[1,1,1,2,4]]=>0
[[1,1,1,3,4]]=>0
[[1,1,1,4,4]]=>0
[[1,1,2,2,4]]=>0
[[1,1,2,3,4]]=>0
[[1,1,2,4,4]]=>0
[[1,1,3,3,4]]=>0
[[1,1,3,4,4]]=>0
[[1,1,4,4,4]]=>0
[[1,2,2,2,4]]=>0
[[1,2,2,3,4]]=>0
[[1,2,2,4,4]]=>0
[[1,2,3,3,4]]=>0
[[1,2,3,4,4]]=>0
[[1,2,4,4,4]]=>0
[[1,3,3,3,4]]=>0
[[1,3,3,4,4]]=>0
[[1,3,4,4,4]]=>0
[[1,4,4,4,4]]=>0
[[2,2,2,2,4]]=>0
[[2,2,2,3,4]]=>0
[[2,2,2,4,4]]=>0
[[2,2,3,3,4]]=>0
[[2,2,3,4,4]]=>0
[[2,2,4,4,4]]=>0
[[2,3,3,3,4]]=>0
[[2,3,3,4,4]]=>0
[[2,3,4,4,4]]=>0
[[2,4,4,4,4]]=>0
[[3,3,3,3,4]]=>0
[[3,3,3,4,4]]=>0
[[3,3,4,4,4]]=>0
[[3,4,4,4,4]]=>0
[[4,4,4,4,4]]=>0
[[1,1,1,1],[4]]=>1
[[1,1,1,2],[4]]=>1
[[1,1,1,4],[2]]=>2
[[1,1,1,3],[4]]=>1
[[1,1,1,4],[3]]=>2
[[1,1,1,4],[4]]=>1
[[1,1,2,2],[4]]=>1
[[1,1,2,4],[2]]=>2
[[1,1,2,3],[4]]=>1
[[1,1,2,4],[3]]=>2
[[1,1,3,4],[2]]=>3
[[1,1,2,4],[4]]=>1
[[1,1,4,4],[2]]=>2
[[1,1,3,3],[4]]=>1
[[1,1,3,4],[3]]=>2
[[1,1,3,4],[4]]=>1
[[1,1,4,4],[3]]=>2
[[1,1,4,4],[4]]=>1
[[1,2,2,2],[4]]=>1
[[1,2,2,4],[2]]=>2
[[1,2,2,3],[4]]=>1
[[1,2,2,4],[3]]=>2
[[1,2,3,4],[2]]=>3
[[1,2,2,4],[4]]=>1
[[1,2,4,4],[2]]=>2
[[1,2,3,3],[4]]=>1
[[1,2,3,4],[3]]=>2
[[1,3,3,4],[2]]=>3
[[1,2,3,4],[4]]=>1
[[1,2,4,4],[3]]=>2
[[1,3,4,4],[2]]=>3
[[1,2,4,4],[4]]=>1
[[1,4,4,4],[2]]=>2
[[1,3,3,3],[4]]=>1
[[1,3,3,4],[3]]=>2
[[1,3,3,4],[4]]=>1
[[1,3,4,4],[3]]=>2
[[1,3,4,4],[4]]=>1
[[1,4,4,4],[3]]=>2
[[1,4,4,4],[4]]=>1
[[2,2,2,2],[4]]=>1
[[2,2,2,3],[4]]=>1
[[2,2,2,4],[3]]=>2
[[2,2,2,4],[4]]=>1
[[2,2,3,3],[4]]=>1
[[2,2,3,4],[3]]=>2
[[2,2,3,4],[4]]=>1
[[2,2,4,4],[3]]=>2
[[2,2,4,4],[4]]=>1
[[2,3,3,3],[4]]=>1
[[2,3,3,4],[3]]=>2
[[2,3,3,4],[4]]=>1
[[2,3,4,4],[3]]=>2
[[2,3,4,4],[4]]=>1
[[2,4,4,4],[3]]=>2
[[2,4,4,4],[4]]=>1
[[3,3,3,3],[4]]=>1
[[3,3,3,4],[4]]=>1
[[3,3,4,4],[4]]=>1
[[3,4,4,4],[4]]=>1
[[1,1,1],[2,4]]=>2
[[1,1,1],[3,4]]=>2
[[1,1,1],[4,4]]=>2
[[1,1,2],[2,4]]=>2
[[1,1,4],[2,2]]=>3
[[1,1,2],[3,4]]=>2
[[1,1,3],[2,4]]=>4
[[1,1,4],[2,3]]=>3
[[1,1,2],[4,4]]=>2
[[1,1,4],[2,4]]=>3
[[1,1,3],[3,4]]=>2
[[1,1,4],[3,3]]=>3
[[1,1,3],[4,4]]=>2
[[1,1,4],[3,4]]=>3
[[1,1,4],[4,4]]=>2
[[1,2,2],[2,4]]=>2
[[1,2,2],[3,4]]=>2
[[1,2,3],[2,4]]=>4
[[1,2,4],[2,3]]=>3
[[1,2,2],[4,4]]=>2
[[1,2,4],[2,4]]=>3
[[1,2,3],[3,4]]=>2
[[1,2,4],[3,3]]=>3
[[1,3,3],[2,4]]=>4
[[1,2,3],[4,4]]=>2
[[1,2,4],[3,4]]=>3
[[1,3,4],[2,4]]=>4
[[1,2,4],[4,4]]=>2
[[1,3,3],[3,4]]=>2
[[1,3,3],[4,4]]=>2
[[1,3,4],[3,4]]=>3
[[1,3,4],[4,4]]=>2
[[2,2,2],[3,4]]=>2
[[2,2,2],[4,4]]=>2
[[2,2,3],[3,4]]=>2
[[2,2,4],[3,3]]=>3
[[2,2,3],[4,4]]=>2
[[2,2,4],[3,4]]=>3
[[2,2,4],[4,4]]=>2
[[2,3,3],[3,4]]=>2
[[2,3,3],[4,4]]=>2
[[2,3,4],[3,4]]=>3
[[2,3,4],[4,4]]=>2
[[3,3,3],[4,4]]=>2
[[3,3,4],[4,4]]=>2
[[1,1,1],[2],[4]]=>3
[[1,1,1],[3],[4]]=>3
[[1,1,2],[2],[4]]=>3
[[1,1,2],[3],[4]]=>3
[[1,1,3],[2],[4]]=>4
[[1,1,4],[2],[3]]=>5
[[1,1,4],[2],[4]]=>3
[[1,1,3],[3],[4]]=>3
[[1,1,4],[3],[4]]=>3
[[1,2,2],[2],[4]]=>3
[[1,2,2],[3],[4]]=>3
[[1,2,3],[2],[4]]=>4
[[1,2,4],[2],[3]]=>5
[[1,2,4],[2],[4]]=>3
[[1,2,3],[3],[4]]=>3
[[1,3,3],[2],[4]]=>4
[[1,3,4],[2],[3]]=>5
[[1,2,4],[3],[4]]=>3
[[1,3,4],[2],[4]]=>4
[[1,4,4],[2],[3]]=>5
[[1,4,4],[2],[4]]=>3
[[1,3,3],[3],[4]]=>3
[[1,3,4],[3],[4]]=>3
[[1,4,4],[3],[4]]=>3
[[2,2,2],[3],[4]]=>3
[[2,2,3],[3],[4]]=>3
[[2,2,4],[3],[4]]=>3
[[2,3,3],[3],[4]]=>3
[[2,3,4],[3],[4]]=>3
[[2,4,4],[3],[4]]=>3
[[1,1],[2,2],[4]]=>4
[[1,1],[2,3],[4]]=>4
[[1,1],[2,4],[3]]=>5
[[1,1],[2,4],[4]]=>4
[[1,1],[3,3],[4]]=>4
[[1,1],[3,4],[4]]=>4
[[1,2],[2,3],[4]]=>4
[[1,2],[2,4],[3]]=>5
[[1,2],[2,4],[4]]=>4
[[1,2],[3,3],[4]]=>4
[[1,3],[2,4],[3]]=>5
[[1,2],[3,4],[4]]=>4
[[1,3],[2,4],[4]]=>5
[[1,3],[3,4],[4]]=>4
[[2,2],[3,3],[4]]=>4
[[2,2],[3,4],[4]]=>4
[[2,3],[3,4],[4]]=>4
[[1,1],[2],[3],[4]]=>6
[[1,2],[2],[3],[4]]=>6
[[1,3],[2],[3],[4]]=>6
[[1,4],[2],[3],[4]]=>6
[[1,1,1,1,5]]=>0
[[1,1,1,2,5]]=>0
[[1,1,1,3,5]]=>0
[[1,1,1,4,5]]=>0
[[1,1,1,5,5]]=>0
[[1,1,2,2,5]]=>0
[[1,1,2,3,5]]=>0
[[1,1,2,4,5]]=>0
[[1,1,2,5,5]]=>0
[[1,1,3,3,5]]=>0
[[1,1,3,4,5]]=>0
[[1,1,3,5,5]]=>0
[[1,1,4,4,5]]=>0
[[1,1,4,5,5]]=>0
[[1,1,5,5,5]]=>0
[[1,2,2,2,5]]=>0
[[1,2,2,3,5]]=>0
[[1,2,2,4,5]]=>0
[[1,2,2,5,5]]=>0
[[1,2,3,3,5]]=>0
[[1,2,3,4,5]]=>0
[[1,2,3,5,5]]=>0
[[1,2,4,4,5]]=>0
[[1,2,4,5,5]]=>0
[[1,2,5,5,5]]=>0
[[1,3,3,3,5]]=>0
[[1,3,3,4,5]]=>0
[[1,3,3,5,5]]=>0
[[1,3,4,4,5]]=>0
[[1,3,4,5,5]]=>0
[[1,3,5,5,5]]=>0
[[1,4,4,4,5]]=>0
[[1,4,4,5,5]]=>0
[[1,4,5,5,5]]=>0
[[1,5,5,5,5]]=>0
[[2,2,2,2,5]]=>0
[[2,2,2,3,5]]=>0
[[2,2,2,4,5]]=>0
[[2,2,2,5,5]]=>0
[[2,2,3,3,5]]=>0
[[2,2,3,4,5]]=>0
[[2,2,3,5,5]]=>0
[[2,2,4,4,5]]=>0
[[2,2,4,5,5]]=>0
[[2,2,5,5,5]]=>0
[[2,3,3,3,5]]=>0
[[2,3,3,4,5]]=>0
[[2,3,3,5,5]]=>0
[[2,3,4,4,5]]=>0
[[2,3,4,5,5]]=>0
[[2,3,5,5,5]]=>0
[[2,4,4,4,5]]=>0
[[2,4,4,5,5]]=>0
[[2,4,5,5,5]]=>0
[[2,5,5,5,5]]=>0
[[3,3,3,3,5]]=>0
[[3,3,3,4,5]]=>0
[[3,3,3,5,5]]=>0
[[3,3,4,4,5]]=>0
[[3,3,4,5,5]]=>0
[[3,3,5,5,5]]=>0
[[3,4,4,4,5]]=>0
[[3,4,4,5,5]]=>0
[[3,4,5,5,5]]=>0
[[3,5,5,5,5]]=>0
[[4,4,4,4,5]]=>0
[[4,4,4,5,5]]=>0
[[4,4,5,5,5]]=>0
[[4,5,5,5,5]]=>0
[[5,5,5,5,5]]=>0
[[1,1,1,1],[5]]=>1
[[1,1,1,2],[5]]=>1
[[1,1,1,5],[2]]=>2
[[1,1,1,3],[5]]=>1
[[1,1,1,5],[3]]=>2
[[1,1,1,4],[5]]=>1
[[1,1,1,5],[4]]=>2
[[1,1,1,5],[5]]=>1
[[1,1,2,2],[5]]=>1
[[1,1,2,5],[2]]=>2
[[1,1,2,3],[5]]=>1
[[1,1,2,5],[3]]=>2
[[1,1,3,5],[2]]=>3
[[1,1,2,4],[5]]=>1
[[1,1,2,5],[4]]=>2
[[1,1,4,5],[2]]=>3
[[1,1,2,5],[5]]=>1
[[1,1,5,5],[2]]=>2
[[1,1,3,3],[5]]=>1
[[1,1,3,5],[3]]=>2
[[1,1,3,4],[5]]=>1
[[1,1,3,5],[4]]=>2
[[1,1,4,5],[3]]=>3
[[1,1,3,5],[5]]=>1
[[1,1,5,5],[3]]=>2
[[1,1,4,4],[5]]=>1
[[1,1,4,5],[4]]=>2
[[1,1,4,5],[5]]=>1
[[1,1,5,5],[4]]=>2
[[1,1,5,5],[5]]=>1
[[1,2,2,2],[5]]=>1
[[1,2,2,5],[2]]=>2
[[1,2,2,3],[5]]=>1
[[1,2,2,5],[3]]=>2
[[1,2,3,5],[2]]=>3
[[1,2,2,4],[5]]=>1
[[1,2,2,5],[4]]=>2
[[1,2,4,5],[2]]=>3
[[1,2,2,5],[5]]=>1
[[1,2,5,5],[2]]=>2
[[1,2,3,3],[5]]=>1
[[1,2,3,5],[3]]=>2
[[1,3,3,5],[2]]=>3
[[1,2,3,4],[5]]=>1
[[1,2,3,5],[4]]=>2
[[1,2,4,5],[3]]=>3
[[1,3,4,5],[2]]=>4
[[1,2,3,5],[5]]=>1
[[1,2,5,5],[3]]=>2
[[1,3,5,5],[2]]=>3
[[1,2,4,4],[5]]=>1
[[1,2,4,5],[4]]=>2
[[1,4,4,5],[2]]=>3
[[1,2,4,5],[5]]=>1
[[1,2,5,5],[4]]=>2
[[1,4,5,5],[2]]=>3
[[1,2,5,5],[5]]=>1
[[1,5,5,5],[2]]=>2
[[1,3,3,3],[5]]=>1
[[1,3,3,5],[3]]=>2
[[1,3,3,4],[5]]=>1
[[1,3,3,5],[4]]=>2
[[1,3,4,5],[3]]=>3
[[1,3,3,5],[5]]=>1
[[1,3,5,5],[3]]=>2
[[1,3,4,4],[5]]=>1
[[1,3,4,5],[4]]=>2
[[1,4,4,5],[3]]=>3
[[1,3,4,5],[5]]=>1
[[1,3,5,5],[4]]=>2
[[1,4,5,5],[3]]=>3
[[1,3,5,5],[5]]=>1
[[1,5,5,5],[3]]=>2
[[1,4,4,4],[5]]=>1
[[1,4,4,5],[4]]=>2
[[1,4,4,5],[5]]=>1
[[1,4,5,5],[4]]=>2
[[1,4,5,5],[5]]=>1
[[1,5,5,5],[4]]=>2
[[1,5,5,5],[5]]=>1
[[2,2,2,2],[5]]=>1
[[2,2,2,3],[5]]=>1
[[2,2,2,5],[3]]=>2
[[2,2,2,4],[5]]=>1
[[2,2,2,5],[4]]=>2
[[2,2,2,5],[5]]=>1
[[2,2,3,3],[5]]=>1
[[2,2,3,5],[3]]=>2
[[2,2,3,4],[5]]=>1
[[2,2,3,5],[4]]=>2
[[2,2,4,5],[3]]=>3
[[2,2,3,5],[5]]=>1
[[2,2,5,5],[3]]=>2
[[2,2,4,4],[5]]=>1
[[2,2,4,5],[4]]=>2
[[2,2,4,5],[5]]=>1
[[2,2,5,5],[4]]=>2
[[2,2,5,5],[5]]=>1
[[2,3,3,3],[5]]=>1
[[2,3,3,5],[3]]=>2
[[2,3,3,4],[5]]=>1
[[2,3,3,5],[4]]=>2
[[2,3,4,5],[3]]=>3
[[2,3,3,5],[5]]=>1
[[2,3,5,5],[3]]=>2
[[2,3,4,4],[5]]=>1
[[2,3,4,5],[4]]=>2
[[2,4,4,5],[3]]=>3
[[2,3,4,5],[5]]=>1
[[2,3,5,5],[4]]=>2
[[2,4,5,5],[3]]=>3
[[2,3,5,5],[5]]=>1
[[2,5,5,5],[3]]=>2
[[2,4,4,4],[5]]=>1
[[2,4,4,5],[4]]=>2
[[2,4,4,5],[5]]=>1
[[2,4,5,5],[4]]=>2
[[2,4,5,5],[5]]=>1
[[2,5,5,5],[4]]=>2
[[2,5,5,5],[5]]=>1
[[3,3,3,3],[5]]=>1
[[3,3,3,4],[5]]=>1
[[3,3,3,5],[4]]=>2
[[3,3,3,5],[5]]=>1
[[3,3,4,4],[5]]=>1
[[3,3,4,5],[4]]=>2
[[3,3,4,5],[5]]=>1
[[3,3,5,5],[4]]=>2
[[3,3,5,5],[5]]=>1
[[3,4,4,4],[5]]=>1
[[3,4,4,5],[4]]=>2
[[3,4,4,5],[5]]=>1
[[3,4,5,5],[4]]=>2
[[3,4,5,5],[5]]=>1
[[3,5,5,5],[4]]=>2
[[3,5,5,5],[5]]=>1
[[4,4,4,4],[5]]=>1
[[4,4,4,5],[5]]=>1
[[4,4,5,5],[5]]=>1
[[4,5,5,5],[5]]=>1
[[1,1,1],[2,5]]=>2
[[1,1,1],[3,5]]=>2
[[1,1,1],[4,5]]=>2
[[1,1,1],[5,5]]=>2
[[1,1,2],[2,5]]=>2
[[1,1,5],[2,2]]=>3
[[1,1,2],[3,5]]=>2
[[1,1,3],[2,5]]=>4
[[1,1,5],[2,3]]=>3
[[1,1,2],[4,5]]=>2
[[1,1,4],[2,5]]=>4
[[1,1,5],[2,4]]=>3
[[1,1,2],[5,5]]=>2
[[1,1,5],[2,5]]=>3
[[1,1,3],[3,5]]=>2
[[1,1,5],[3,3]]=>3
[[1,1,3],[4,5]]=>2
[[1,1,4],[3,5]]=>4
[[1,1,5],[3,4]]=>3
[[1,1,3],[5,5]]=>2
[[1,1,5],[3,5]]=>3
[[1,1,4],[4,5]]=>2
[[1,1,5],[4,4]]=>3
[[1,1,4],[5,5]]=>2
[[1,1,5],[4,5]]=>3
[[1,1,5],[5,5]]=>2
[[1,2,2],[2,5]]=>2
[[1,2,2],[3,5]]=>2
[[1,2,3],[2,5]]=>4
[[1,2,5],[2,3]]=>3
[[1,2,2],[4,5]]=>2
[[1,2,4],[2,5]]=>4
[[1,2,5],[2,4]]=>3
[[1,2,2],[5,5]]=>2
[[1,2,5],[2,5]]=>3
[[1,2,3],[3,5]]=>2
[[1,2,5],[3,3]]=>3
[[1,3,3],[2,5]]=>4
[[1,2,3],[4,5]]=>2
[[1,2,4],[3,5]]=>4
[[1,2,5],[3,4]]=>3
[[1,3,4],[2,5]]=>5
[[1,3,5],[2,4]]=>6
[[1,2,3],[5,5]]=>2
[[1,2,5],[3,5]]=>3
[[1,3,5],[2,5]]=>4
[[1,2,4],[4,5]]=>2
[[1,2,5],[4,4]]=>3
[[1,4,4],[2,5]]=>4
[[1,2,4],[5,5]]=>2
[[1,2,5],[4,5]]=>3
[[1,4,5],[2,5]]=>4
[[1,2,5],[5,5]]=>2
[[1,3,3],[3,5]]=>2
[[1,3,3],[4,5]]=>2
[[1,3,4],[3,5]]=>4
[[1,3,5],[3,4]]=>3
[[1,3,3],[5,5]]=>2
[[1,3,5],[3,5]]=>3
[[1,3,4],[4,5]]=>2
[[1,3,5],[4,4]]=>3
[[1,4,4],[3,5]]=>4
[[1,3,4],[5,5]]=>2
[[1,3,5],[4,5]]=>3
[[1,4,5],[3,5]]=>4
[[1,3,5],[5,5]]=>2
[[1,4,4],[4,5]]=>2
[[1,4,4],[5,5]]=>2
[[1,4,5],[4,5]]=>3
[[1,4,5],[5,5]]=>2
[[2,2,2],[3,5]]=>2
[[2,2,2],[4,5]]=>2
[[2,2,2],[5,5]]=>2
[[2,2,3],[3,5]]=>2
[[2,2,5],[3,3]]=>3
[[2,2,3],[4,5]]=>2
[[2,2,4],[3,5]]=>4
[[2,2,5],[3,4]]=>3
[[2,2,3],[5,5]]=>2
[[2,2,5],[3,5]]=>3
[[2,2,4],[4,5]]=>2
[[2,2,5],[4,4]]=>3
[[2,2,4],[5,5]]=>2
[[2,2,5],[4,5]]=>3
[[2,2,5],[5,5]]=>2
[[2,3,3],[3,5]]=>2
[[2,3,3],[4,5]]=>2
[[2,3,4],[3,5]]=>4
[[2,3,5],[3,4]]=>3
[[2,3,3],[5,5]]=>2
[[2,3,5],[3,5]]=>3
[[2,3,4],[4,5]]=>2
[[2,3,5],[4,4]]=>3
[[2,4,4],[3,5]]=>4
[[2,3,4],[5,5]]=>2
[[2,3,5],[4,5]]=>3
[[2,4,5],[3,5]]=>4
[[2,3,5],[5,5]]=>2
[[2,4,4],[4,5]]=>2
[[2,4,4],[5,5]]=>2
[[2,4,5],[4,5]]=>3
[[2,4,5],[5,5]]=>2
[[3,3,3],[4,5]]=>2
[[3,3,3],[5,5]]=>2
[[3,3,4],[4,5]]=>2
[[3,3,5],[4,4]]=>3
[[3,3,4],[5,5]]=>2
[[3,3,5],[4,5]]=>3
[[3,3,5],[5,5]]=>2
[[3,4,4],[4,5]]=>2
[[3,4,4],[5,5]]=>2
[[3,4,5],[4,5]]=>3
[[3,4,5],[5,5]]=>2
[[4,4,4],[5,5]]=>2
[[4,4,5],[5,5]]=>2
[[1,1,1],[2],[5]]=>3
[[1,1,1],[3],[5]]=>3
[[1,1,1],[4],[5]]=>3
[[1,1,2],[2],[5]]=>3
[[1,1,2],[3],[5]]=>3
[[1,1,3],[2],[5]]=>4
[[1,1,5],[2],[3]]=>5
[[1,1,2],[4],[5]]=>3
[[1,1,4],[2],[5]]=>4
[[1,1,5],[2],[4]]=>5
[[1,1,5],[2],[5]]=>3
[[1,1,3],[3],[5]]=>3
[[1,1,3],[4],[5]]=>3
[[1,1,4],[3],[5]]=>4
[[1,1,5],[3],[4]]=>5
[[1,1,5],[3],[5]]=>3
[[1,1,4],[4],[5]]=>3
[[1,1,5],[4],[5]]=>3
[[1,2,2],[2],[5]]=>3
[[1,2,2],[3],[5]]=>3
[[1,2,3],[2],[5]]=>4
[[1,2,5],[2],[3]]=>5
[[1,2,2],[4],[5]]=>3
[[1,2,4],[2],[5]]=>4
[[1,2,5],[2],[4]]=>5
[[1,2,5],[2],[5]]=>3
[[1,2,3],[3],[5]]=>3
[[1,3,3],[2],[5]]=>4
[[1,3,5],[2],[3]]=>5
[[1,2,3],[4],[5]]=>3
[[1,2,4],[3],[5]]=>4
[[1,2,5],[3],[4]]=>5
[[1,3,4],[2],[5]]=>5
[[1,3,5],[2],[4]]=>6
[[1,4,5],[2],[3]]=>7
[[1,2,5],[3],[5]]=>3
[[1,3,5],[2],[5]]=>4
[[1,5,5],[2],[3]]=>5
[[1,2,4],[4],[5]]=>3
[[1,4,4],[2],[5]]=>4
[[1,4,5],[2],[4]]=>5
[[1,2,5],[4],[5]]=>3
[[1,4,5],[2],[5]]=>4
[[1,5,5],[2],[4]]=>5
[[1,5,5],[2],[5]]=>3
[[1,3,3],[3],[5]]=>3
[[1,3,3],[4],[5]]=>3
[[1,3,4],[3],[5]]=>4
[[1,3,5],[3],[4]]=>5
[[1,3,5],[3],[5]]=>3
[[1,3,4],[4],[5]]=>3
[[1,4,4],[3],[5]]=>4
[[1,4,5],[3],[4]]=>5
[[1,3,5],[4],[5]]=>3
[[1,4,5],[3],[5]]=>4
[[1,5,5],[3],[4]]=>5
[[1,5,5],[3],[5]]=>3
[[1,4,4],[4],[5]]=>3
[[1,4,5],[4],[5]]=>3
[[1,5,5],[4],[5]]=>3
[[2,2,2],[3],[5]]=>3
[[2,2,2],[4],[5]]=>3
[[2,2,3],[3],[5]]=>3
[[2,2,3],[4],[5]]=>3
[[2,2,4],[3],[5]]=>4
[[2,2,5],[3],[4]]=>5
[[2,2,5],[3],[5]]=>3
[[2,2,4],[4],[5]]=>3
[[2,2,5],[4],[5]]=>3
[[2,3,3],[3],[5]]=>3
[[2,3,3],[4],[5]]=>3
[[2,3,4],[3],[5]]=>4
[[2,3,5],[3],[4]]=>5
[[2,3,5],[3],[5]]=>3
[[2,3,4],[4],[5]]=>3
[[2,4,4],[3],[5]]=>4
[[2,4,5],[3],[4]]=>5
[[2,3,5],[4],[5]]=>3
[[2,4,5],[3],[5]]=>4
[[2,5,5],[3],[4]]=>5
[[2,5,5],[3],[5]]=>3
[[2,4,4],[4],[5]]=>3
[[2,4,5],[4],[5]]=>3
[[2,5,5],[4],[5]]=>3
[[3,3,3],[4],[5]]=>3
[[3,3,4],[4],[5]]=>3
[[3,3,5],[4],[5]]=>3
[[3,4,4],[4],[5]]=>3
[[3,4,5],[4],[5]]=>3
[[3,5,5],[4],[5]]=>3
[[1,1],[2,2],[5]]=>4
[[1,1],[2,3],[5]]=>4
[[1,1],[2,5],[3]]=>5
[[1,1],[2,4],[5]]=>4
[[1,1],[2,5],[4]]=>5
[[1,1],[2,5],[5]]=>4
[[1,1],[3,3],[5]]=>4
[[1,1],[3,4],[5]]=>4
[[1,1],[3,5],[4]]=>5
[[1,1],[3,5],[5]]=>4
[[1,1],[4,4],[5]]=>4
[[1,1],[4,5],[5]]=>4
[[1,2],[2,3],[5]]=>4
[[1,2],[2,5],[3]]=>5
[[1,2],[2,4],[5]]=>4
[[1,2],[2,5],[4]]=>5
[[1,2],[2,5],[5]]=>4
[[1,2],[3,3],[5]]=>4
[[1,3],[2,5],[3]]=>5
[[1,2],[3,4],[5]]=>4
[[1,2],[3,5],[4]]=>5
[[1,3],[2,4],[5]]=>7
[[1,3],[2,5],[4]]=>6
[[1,4],[2,5],[3]]=>8
[[1,2],[3,5],[5]]=>4
[[1,3],[2,5],[5]]=>5
[[1,2],[4,4],[5]]=>4
[[1,4],[2,5],[4]]=>5
[[1,2],[4,5],[5]]=>4
[[1,4],[2,5],[5]]=>5
[[1,3],[3,4],[5]]=>4
[[1,3],[3,5],[4]]=>5
[[1,3],[3,5],[5]]=>4
[[1,3],[4,4],[5]]=>4
[[1,4],[3,5],[4]]=>5
[[1,3],[4,5],[5]]=>4
[[1,4],[3,5],[5]]=>5
[[1,4],[4,5],[5]]=>4
[[2,2],[3,3],[5]]=>4
[[2,2],[3,4],[5]]=>4
[[2,2],[3,5],[4]]=>5
[[2,2],[3,5],[5]]=>4
[[2,2],[4,4],[5]]=>4
[[2,2],[4,5],[5]]=>4
[[2,3],[3,4],[5]]=>4
[[2,3],[3,5],[4]]=>5
[[2,3],[3,5],[5]]=>4
[[2,3],[4,4],[5]]=>4
[[2,4],[3,5],[4]]=>5
[[2,3],[4,5],[5]]=>4
[[2,4],[3,5],[5]]=>5
[[2,4],[4,5],[5]]=>4
[[3,3],[4,4],[5]]=>4
[[3,3],[4,5],[5]]=>4
[[3,4],[4,5],[5]]=>4
[[1,1],[2],[3],[5]]=>6
[[1,1],[2],[4],[5]]=>6
[[1,1],[3],[4],[5]]=>6
[[1,2],[2],[3],[5]]=>6
[[1,2],[2],[4],[5]]=>6
[[1,3],[2],[3],[5]]=>6
[[1,2],[3],[4],[5]]=>6
[[1,3],[2],[4],[5]]=>7
[[1,4],[2],[3],[5]]=>8
[[1,5],[2],[3],[4]]=>9
[[1,5],[2],[3],[5]]=>6
[[1,4],[2],[4],[5]]=>6
[[1,5],[2],[4],[5]]=>6
[[1,3],[3],[4],[5]]=>6
[[1,4],[3],[4],[5]]=>6
[[1,5],[3],[4],[5]]=>6
[[2,2],[3],[4],[5]]=>6
[[2,3],[3],[4],[5]]=>6
[[2,4],[3],[4],[5]]=>6
[[2,5],[3],[4],[5]]=>6
[[1],[2],[3],[4],[5]]=>10
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Description
The cocharge of a semistandard tableau.
Code
def statistic(T): return T.cocharge()
Created
Jun 13, 2013 at 20:46 by Travis Scrimshaw
Updated
Feb 17, 2015 at 17:48 by Martin Rubey
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