Identifier
Values
[1,0] => [2,1] => [2] => [[1,2]] => 2
[1,0,1,0] => [3,1,2] => [3] => [[1,2,3]] => 3
[1,1,0,0] => [2,3,1] => [3] => [[1,2,3]] => 3
[1,0,1,0,1,0] => [4,1,2,3] => [4] => [[1,2,3,4]] => 4
[1,0,1,1,0,0] => [3,1,4,2] => [4] => [[1,2,3,4]] => 4
[1,1,0,0,1,0] => [2,4,1,3] => [4] => [[1,2,3,4]] => 4
[1,1,0,1,0,0] => [4,3,1,2] => [4] => [[1,2,3,4]] => 4
[1,1,1,0,0,0] => [2,3,4,1] => [4] => [[1,2,3,4]] => 4
[1,0,1,0,1,0,1,0] => [5,1,2,3,4] => [5] => [[1,2,3,4,5]] => 5
[1,0,1,0,1,1,0,0] => [4,1,2,5,3] => [5] => [[1,2,3,4,5]] => 5
[1,0,1,1,0,0,1,0] => [3,1,5,2,4] => [5] => [[1,2,3,4,5]] => 5
[1,0,1,1,0,1,0,0] => [5,1,4,2,3] => [5] => [[1,2,3,4,5]] => 5
[1,0,1,1,1,0,0,0] => [3,1,4,5,2] => [5] => [[1,2,3,4,5]] => 5
[1,1,0,0,1,0,1,0] => [2,5,1,3,4] => [5] => [[1,2,3,4,5]] => 5
[1,1,0,0,1,1,0,0] => [2,4,1,5,3] => [5] => [[1,2,3,4,5]] => 5
[1,1,0,1,0,0,1,0] => [5,3,1,2,4] => [5] => [[1,2,3,4,5]] => 5
[1,1,0,1,0,1,0,0] => [5,4,1,2,3] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,0,1,1,0,0,0] => [4,3,1,5,2] => [5] => [[1,2,3,4,5]] => 5
[1,1,1,0,0,0,1,0] => [2,3,5,1,4] => [5] => [[1,2,3,4,5]] => 5
[1,1,1,0,0,1,0,0] => [2,5,4,1,3] => [5] => [[1,2,3,4,5]] => 5
[1,1,1,0,1,0,0,0] => [5,3,4,1,2] => [5] => [[1,2,3,4,5]] => 5
[1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [5] => [[1,2,3,4,5]] => 5
[1,0,1,0,1,0,1,0,1,0] => [6,1,2,3,4,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,0,1,0,1,1,0,0] => [5,1,2,3,6,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,0,1,1,0,0,1,0] => [4,1,2,6,3,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,0,1,1,0,1,0,0] => [6,1,2,5,3,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,0,1,1,1,0,0,0] => [4,1,2,5,6,3] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,0,0,1,0,1,0] => [3,1,6,2,4,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,0,0,1,1,0,0] => [3,1,5,2,6,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,0,1,0,0,1,0] => [6,1,4,2,3,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,2,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,0,1,0,1,0,1,0] => [2,6,1,3,4,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,0,1,1,0,0,1,0] => [2,4,1,6,3,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,0,1,1,0,1,0,0] => [2,6,1,5,3,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,0,1,1,1,0,0,0] => [2,4,1,5,6,3] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,1,0,0,1,0,1,0] => [6,3,1,2,4,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,1,0,0,1,1,0,0] => [5,3,1,2,6,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,0,0,0,1,0,1,0] => [2,3,6,1,4,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,0,0,0,1,1,0,0] => [2,3,5,1,6,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => [6] => [[1,2,3,4,5,6]] => 6
[1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [6] => [[1,2,3,4,5,6]] => 6
[1,0,1,0,1,0,1,0,1,0,1,0] => [7,1,2,3,4,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,0,1,0,1,1,0,0] => [6,1,2,3,4,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,0,1,1,0,0,1,0] => [5,1,2,3,7,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,0,1,1,0,1,0,0] => [7,1,2,3,6,4,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,0,1,1,1,0,0,0] => [5,1,2,3,6,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,0,0,1,0,1,0] => [4,1,2,7,3,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,0,0,1,1,0,0] => [4,1,2,6,3,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,0,1,0,0,1,0] => [7,1,2,5,3,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,0,1,0,1,0,0] => [7,1,2,6,3,4,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [6,1,2,5,3,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,1,0,0,1,0,0] => [4,1,2,7,6,3,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,1,0,1,0,0,0] => [7,1,2,5,6,3,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,2,5,6,7,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,7,2,4,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,0,1,0,1,1,0,0] => [3,1,6,2,4,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,5,2,7,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,0,1,1,0,1,0,0] => [3,1,7,2,6,4,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,0,1,1,1,0,0,0] => [3,1,5,2,6,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,1,0,0,1,0,1,0] => [7,1,4,2,3,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,1,0,0,1,1,0,0] => [6,1,4,2,3,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,1,0,1,0,0,1,0] => [7,1,5,2,3,4,6] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,0,1,1,0,1,0,1,0,1,0,0] => [6,1,7,2,3,4,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,0,1,1,0,1,0,1,1,0,0,0] => [6,1,5,2,3,7,4] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,0,1,1,0,1,1,0,0,0,1,0] => [5,1,4,2,7,3,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,1,1,0,0,1,0,0] => [7,1,4,2,6,3,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,0,1,1,0,1,0,0,0] => [7,1,5,2,6,3,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [5,1,4,2,6,7,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,7,2,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,0,0,0,1,1,0,0] => [3,1,4,6,2,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,0,0,1,0,0,1,0] => [3,1,7,5,2,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,0,0,1,0,1,0,0] => [3,1,7,6,2,4,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,0,1,1,1,0,0,1,1,0,0,0] => [3,1,6,5,2,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,0,1,0,0,0,1,0] => [7,1,4,5,2,3,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,0,1,0,0,1,0,0] => [7,1,4,6,2,3,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,0,1,1,1,0,1,0,1,0,0,0] => [7,1,6,5,2,3,4] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [6,1,4,5,2,7,3] => [7] => [[1,2,3,4,5,6,7]] => 7
>>> Load all 197 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,5,7,2,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,1,0,0,0,1,0,0] => [3,1,4,7,6,2,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,7,5,6,2,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,1,0,1,0,0,0,0] => [7,1,4,5,6,2,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,4,5,6,7,2] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,7,1,3,4,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,6,1,3,4,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,5,1,3,7,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,7,1,3,6,4,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,5,1,3,6,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,4,1,7,3,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,6,3,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,7,1,5,3,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,7,1,6,3,4,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,6,1,5,3,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,4,1,5,7,3,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,7,6,3,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,7,1,5,6,3,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,1,5,6,7,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,0,0,1,0,1,0,1,0] => [7,3,1,2,4,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,0,0,1,0,1,1,0,0] => [6,3,1,2,4,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,1,2,7,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,0,0,1,1,0,1,0,0] => [7,3,1,2,6,4,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,0,0,1,1,1,0,0,0] => [5,3,1,2,6,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,0,1,0,0,1,0,1,0] => [7,4,1,2,3,5,6] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,1,0,1,0,0,1,1,0,0] => [6,4,1,2,3,7,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,7,1,2,3,4,6] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,1,2,3,4,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,0,1,0,1,1,0,0,0] => [5,6,1,2,3,7,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,4,1,2,7,3,6] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,1,0,1,1,0,0,1,0,0] => [7,4,1,2,6,3,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => [5,7,1,2,6,3,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,0,1,1,1,0,0,0,0] => [5,4,1,2,6,7,3] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,1,1,0,0,0,1,0,1,0] => [4,3,1,7,2,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,3,1,6,2,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,0,0,1,0,0,1,0] => [7,3,1,5,2,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,0,0,1,0,1,0,0] => [7,3,1,6,2,4,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,0,1,1,0,0,1,1,0,0,0] => [6,3,1,5,2,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,0,1,0,0,0,1,0] => [7,4,1,5,2,3,6] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,1,0,1,0,0,1,0,0] => [7,4,1,6,2,3,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,0,1,0,1,0,0,0] => [6,7,1,5,2,3,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,1,0,1,1,0,0,0,0] => [6,4,1,5,2,7,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [4,3,1,5,7,2,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,1,0,0,0,1,0,0] => [4,3,1,7,6,2,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,1,0,0,1,0,0,0] => [7,3,1,5,6,2,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,0,1,1,1,0,1,0,0,0,0] => [7,4,1,5,6,2,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => [4,3,1,5,6,7,2] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,7,1,4,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,6,1,4,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,5,1,7,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,7,1,6,4,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,5,1,6,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,1,0,0,1,0,1,0] => [2,7,4,1,3,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,1,0,0,1,1,0,0] => [2,6,4,1,3,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,1,0,1,0,0,1,0] => [2,7,5,1,3,4,6] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,0,0,1,0,1,0,1,0,0] => [2,6,7,1,3,4,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,0,1,0,1,1,0,0,0] => [2,6,5,1,3,7,4] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [2,5,4,1,7,3,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,1,1,0,0,1,0,0] => [2,7,4,1,6,3,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,0,1,1,0,1,0,0,0] => [2,7,5,1,6,3,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,0,1,1,1,0,0,0,0] => [2,5,4,1,6,7,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,1,0,0,0,1,0,1,0] => [7,3,4,1,2,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,1,0,0,0,1,1,0,0] => [6,3,4,1,2,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,1,0,0,1,0,0,1,0] => [7,3,5,1,2,4,6] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => [6,3,7,1,2,4,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,1,0,0,1,1,0,0,0] => [6,3,5,1,2,7,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,1,0,1,0,0,0,1,0] => [7,5,4,1,2,3,6] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,0,1,0,1,0,0,1,0,0] => [6,7,4,1,2,3,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,1,0,1,0,1,0,0,0] => [6,7,5,1,2,3,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,1,0,1,1,0,0,0,0] => [6,5,4,1,2,7,3] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,3,4,1,7,2,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,1,1,0,0,0,1,0,0] => [7,3,4,1,6,2,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,0,1,1,0,0,1,0,0,0] => [7,3,5,1,6,2,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [7,5,4,1,6,2,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [5,3,4,1,6,7,2] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,0,0,0,1,0,1,0] => [2,3,4,7,1,5,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,0,0,0,1,1,0,0] => [2,3,4,6,1,7,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,0,0,1,0,0,1,0] => [2,3,7,5,1,4,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,7,6,1,4,5] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,6,5,1,7,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,0,1,0,0,0,1,0] => [2,7,4,5,1,3,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,0,1,0,0,1,0,0] => [2,7,4,6,1,3,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [2,7,6,5,1,3,4] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [2,6,4,5,1,7,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,1,0,0,0,0,1,0] => [7,3,4,5,1,2,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,0,1,0,0,0,1,0,0] => [7,3,4,6,1,2,5] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => [7,3,6,5,1,2,4] => [4,3] => [[1,2,3,7],[4,5,6]] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => [7,6,4,5,1,2,3] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,4,5,1,7,2] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,1,0,0,0,0,0,1,0] => [2,3,4,5,7,1,6] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,4,7,6,1,5] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,7,5,6,1,4] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,1,0,0,1,0,0,0,0] => [2,7,4,5,6,1,3] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,1,0,1,0,0,0,0,0] => [7,3,4,5,6,1,2] => [7] => [[1,2,3,4,5,6,7]] => 7
[1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1] => [7] => [[1,2,3,4,5,6,7]] => 7
[] => [1] => [1] => [[1]] => 1
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Description
Eigenvalues of the top-to-random operator acting on a simple module.
These eigenvalues are given in [1] and [3].
The simple module of the symmetric group indexed by a partition $\lambda$ has dimension equal to the number of standard tableaux of shape $\lambda$. Hence, the eigenvalues of any linear operator defined on this module can be indexed by standard tableaux of shape $\lambda$; this statistic gives all the eigenvalues of the operator acting on the module.
This statistic bears different names, such as the type in [2] or eig in [3].
Similarly, the eigenvalues of the random-to-random operator acting on a simple module is St000508Eigenvalues of the random-to-random operator acting on a simple module..
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
Map
cycle type
Description
The cycle type of a permutation as a partition.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.