Identifier
Values
[[2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,1],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[2,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[2,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[2,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[2,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,2],[1]] => [1] => [1,0] => [2,1] => 1
[[5,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,3,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,2,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[2,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[2,2,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[2,2,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[2,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[6,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,2],[1]] => [1] => [1,0] => [2,1] => 1
[[6,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[6,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3],[1]] => [1] => [1,0] => [2,1] => 1
[[5,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[6,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,3,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,2,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,3,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,2,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,3,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
>>> Load all 419 entries. <<<
[[4,3,2,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,2,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,2],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,1,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[2,2,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[2,2,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,1,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,1,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[2,1,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[7,1],[1]] => [1] => [1,0] => [2,1] => 1
[[6,2],[1]] => [1] => [1,0] => [2,1] => 1
[[7,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[6,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[6,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[7,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,3],[1]] => [1] => [1,0] => [2,1] => 1
[[6,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[7,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,3,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[6,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[6,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[6,3,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[6,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[5,2,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[6,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4],[1]] => [1] => [1,0] => [2,1] => 1
[[5,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[6,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,3,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,4,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,3,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[6,3,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,3,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,4,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[5,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,3,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,2,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,3,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,2,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,2,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,3,2,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,2,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[5,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,4,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,2],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,1,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,3,3,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,3,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,2,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,3,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,3,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,2,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,3,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,2,1,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,3,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,3,2,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,2,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,3,2,1,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,2,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,2,1,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,1,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,4,2],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,1,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,2,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,2,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,1,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,1,1,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[2,2,2,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,2,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[2,2,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[3,2,1,1,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,3,3,1,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[2,2,2,2,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,2,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,1,1,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[3,2,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,2,1,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[2,2,1,1,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[2,1,1,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[2,2,1,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2,2,1,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,2,1,1,1,1],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[3,2,2,1,1,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,1,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,3,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3,1,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,3,1,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,3,3,1],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[6,4,1],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[7,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[3,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2,2,2,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,4,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,4],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,5],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,4,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,4],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,2],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2,2,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,2,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,2,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2,2,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,1],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,3,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,1],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[6,5],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[6,6],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[6,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,4,4],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,5,4],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[6,5],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[6,6],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,5,5],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[6,3],[1]] => [1] => [1,0] => [2,1] => 1
[[5,4,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,3,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,4,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[5,4,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,5,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,4,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[6,4],[1]] => [1] => [1,0] => [2,1] => 1
[[5,4,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[6,5],[1]] => [1] => [1,0] => [2,1] => 1
[[6,6],[1]] => [1] => [1,0] => [2,1] => 1
[[5,5,5],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,4,4],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,5,4],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,4,4],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[5,5,5],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,5,2],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,4,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,2],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,5,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,3,3,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,4,3,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,4,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,4,2,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[2,2,2,2,2,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,2,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,2,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,3,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,3,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,2],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,2],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,4,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,2],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,2],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,3,2],[1]] => [1] => [1,0] => [2,1] => 1
[[5,5,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,4,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,5,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[3,3,3,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[4,4,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,4,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,5,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,4,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,4],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[5,5,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,5,5],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,5],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[5,4,4],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[5,5,4],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,4],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[5,5,5],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,3],[2,2]] => [2,2] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[4,3,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,3,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[[4,3,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,3],[1,1]] => [1,1] => [1,1,0,0] => [2,3,1] => 2
[[4,4,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,4,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,3],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[3,3,3,3,3],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,4,4],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,4],[1]] => [1] => [1,0] => [2,1] => 1
[[5,5,5,1],[1]] => [1] => [1,0] => [2,1] => 1
[[4,4,4,4,1],[1]] => [1] => [1,0] => [2,1] => 1
[[3,3,3,3,3,3],[2]] => [2] => [1,0,1,0] => [3,1,2] => 2
[[4,4,4,4,3],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[4,4,4,4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[5,5,5,5,1],[1]] => [1] => [1,0] => [2,1] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The Lowey length of the algebra $A/T$ when $T$ is the 1-tilting module corresponding to the permutation in the Auslander algebra of $K[x]/(x^n)$.
Map
parallelogram polyomino
Description
Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
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.