Identifier
Values
[[2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[6,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
>>> Load all 311 entries. <<<
[[7,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[7,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[6,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[6,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[7,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[6,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[6,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,4,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,3,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,2,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,3,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,3,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,2,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,2,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,2,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,2,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,2,1,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[2,2,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,1,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,1,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[2,2,2,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1,1,1,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,2,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,3,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,3,1,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[2,2,2,2,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,3,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[2,2,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,2,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[2,2,2,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,1],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,4,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[6,5],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[6,6],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[6,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,4,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[6,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,4,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[6,5],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[6,6],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,5,5],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,4,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,5],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,5,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,2,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,3,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[2,2,2,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,3,2,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,2,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,3,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,3,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,4,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3,2],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,3,2],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,4,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,5,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,5,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,5,5],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,4,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,5],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,4,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[3,3,3,3,3],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,4],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[4,4,4,4],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[5,5,5,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[4,4,4,4,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
[[3,3,3,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[[5,5,5,5,1],[1]] => [1] => [1,0,1,0] => [3,1,2] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The grades of the simple modules corresponding to the points in the poset of the symmetric group under the Bruhat order.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.
Map
inner shape
Description
The inner shape of a skew partition.