Identifier
Values
([],1) => [1] => 0
([],2) => [2] => 0
([(0,1)],2) => [1] => 0
([],3) => [3,3] => 2
([(1,2)],3) => [3] => 0
([(0,1),(0,2)],3) => [2] => 0
([(0,2),(2,1)],3) => [1] => 0
([(0,2),(1,2)],3) => [2] => 0
([(2,3)],4) => [4,4,4] => 168
([(1,2),(1,3)],4) => [8] => 0
([(0,1),(0,2),(0,3)],4) => [3,3] => 2
([(0,2),(0,3),(3,1)],4) => [3] => 0
([(0,1),(0,2),(1,3),(2,3)],4) => [2] => 0
([(1,2),(2,3)],4) => [4] => 0
([(0,3),(3,1),(3,2)],4) => [2] => 0
([(1,3),(2,3)],4) => [8] => 0
([(0,3),(1,3),(3,2)],4) => [2] => 0
([(0,3),(1,3),(2,3)],4) => [3,3] => 2
([(0,3),(1,2)],4) => [4,2] => 3
([(0,3),(1,2),(1,3)],4) => [3,2] => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => 1
([(0,3),(2,1),(3,2)],4) => [1] => 0
([(0,3),(1,2),(2,3)],4) => [3] => 0
([(0,2),(0,3),(0,4),(4,1)],5) => [4,4,4] => 168
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [8] => 0
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [3,3] => 2
([(0,3),(0,4),(4,1),(4,2)],5) => [8] => 0
([(1,2),(1,3),(2,4),(3,4)],5) => [5,5] => 14
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [2] => 0
([(0,3),(0,4),(3,2),(4,1)],5) => [4,2] => 3
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [3,2] => 2
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2] => 1
([(1,4),(4,2),(4,3)],5) => [5,5] => 14
([(0,4),(4,1),(4,2),(4,3)],5) => [3,3] => 2
([(1,4),(2,4),(4,3)],5) => [5,5] => 14
([(0,4),(1,4),(4,2),(4,3)],5) => [2,2] => 1
([(0,4),(1,4),(2,4),(4,3)],5) => [3,3] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6,6] => 42
([(0,4),(1,4),(2,3),(4,2)],5) => [2] => 0
([(0,4),(1,3),(2,3),(3,4)],5) => [8] => 0
([(0,4),(1,4),(2,3),(3,4)],5) => [4,4,4] => 168
([(0,4),(1,2),(1,4),(2,3)],5) => [5,4] => 14
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => 2
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [6] => 0
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [2,2] => 1
([(0,4),(1,2),(1,4),(4,3)],5) => [7] => 0
([(0,2),(0,4),(3,1),(4,3)],5) => [4] => 0
([(0,4),(1,2),(1,3),(3,4)],5) => [4,4,3] => 168
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [3] => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [8] => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [6,6] => 42
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [5,3] => 9
([(0,3),(1,2),(1,4),(3,4)],5) => [5,4] => 14
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [6] => 0
([(1,4),(3,2),(4,3)],5) => [5] => 0
([(0,3),(3,4),(4,1),(4,2)],5) => [2] => 0
([(0,4),(1,2),(2,4),(4,3)],5) => [3] => 0
([(0,3),(1,4),(4,2)],5) => [5,5] => 14
([(0,4),(3,2),(4,1),(4,3)],5) => [3] => 0
([(0,4),(1,2),(2,3),(2,4)],5) => [7] => 0
([(0,4),(2,3),(3,1),(4,2)],5) => [1] => 0
([(0,3),(1,2),(2,4),(3,4)],5) => [4,2] => 3
([(0,4),(1,2),(2,3),(3,4)],5) => [4] => 0
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [2] => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [3,3] => 2
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6,6] => 42
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [8] => 0
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,5] => 14
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [12] => 0
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [2,2] => 1
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [6] => 0
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [2,2] => 1
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [7] => 0
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6,6] => 42
([(1,4),(4,5),(5,2),(5,3)],6) => [12] => 0
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [3,3] => 2
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [6,6] => 42
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [6,6] => 42
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [3,3] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [6,6] => 42
([(1,5),(2,5),(3,4),(5,3)],6) => [12] => 0
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [8] => 0
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [6] => 0
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [2,2] => 1
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,5] => 14
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [4,2] => 3
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [8] => 0
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [4,4,4] => 168
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [2] => 0
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [8] => 0
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,5] => 14
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [3,3] => 2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,5] => 14
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [2,2] => 1
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [6,2,2] => 70
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [3,2] => 2
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => [10,2] => 9
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [4,4,2,2] => 992
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [6,2,2] => 70
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [2,2,2,2] => 6
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [4,4] => 5
>>> Load all 332 entries. <<<
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [2,2] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [6] => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [4,4,4] => 168
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,5] => 14
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [5,5] => 14
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [5,4] => 14
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [3,2] => 2
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [5,4] => 14
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [5,3] => 9
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [3] => 0
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [8] => 0
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [4,4,3] => 168
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [4,4,3] => 168
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [4] => 0
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [2] => 0
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,5] => 14
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,6] => 42
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => [8,3] => 27
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [5,3] => 9
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [6] => 0
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [7] => 0
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => [9,3] => 35
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [3,3,3] => 16
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [6] => 0
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [5,4] => 14
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [5] => 0
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [8] => 0
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => [8,3] => 27
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [6] => 0
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [4,3,3] => 77
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [4,4,4] => 168
([(1,5),(3,4),(4,2),(5,3)],6) => [6] => 0
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [2] => 0
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [4,2] => 3
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [4] => 0
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2] => 992
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [12] => 0
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [2] => 0
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [4] => 0
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [5,4] => 14
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [7] => 0
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [5,4] => 14
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [4,4] => 5
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [2,2] => 1
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [3,2] => 2
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [4,2] => 3
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => [9,3] => 35
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [7] => 0
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [3] => 0
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [5,4] => 14
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [1] => 0
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [3] => 0
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [5] => 0
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [2] => 0
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [5,5] => 14
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [3] => 0
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [6,6] => 42
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [6,6] => 42
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [8] => 0
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [6,6] => 42
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [2,2] => 1
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [4,4,2,2] => 992
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [6,2,2] => 70
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [2,2,2,2] => 6
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [6,6] => 42
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [6] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [6,6] => 42
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [3,3] => 2
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [12] => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [3,3] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [6,6] => 42
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [6,6] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [6,6] => 42
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [6,6] => 42
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [6] => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [5,5] => 14
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [7] => 0
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [2,2] => 1
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => [12] => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [2,2] => 1
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [4,4] => 5
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [2,2] => 1
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [5] => 0
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [2] => 0
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [2] => 0
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [8] => 0
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [5,5] => 14
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [2,2] => 1
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [4,4,2,2] => 992
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [8] => 0
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [6,2,2] => 70
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [2,2,2,2] => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [4,4,2,2] => 992
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [6,2,2] => 70
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [2,2,2,2] => 6
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [4,4,4] => 168
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => [12] => 0
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [6] => 0
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [6] => 0
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [6,2,2] => 70
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [5,4] => 14
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [6,6] => 42
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [2,2,2,2] => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [6,6] => 42
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [4,4,2,2] => 992
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [10] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [2,2] => 1
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [6] => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [4,4] => 5
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [6,6] => 42
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [4,4,4] => 168
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [5,5] => 14
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => [3,3] => 2
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => [12] => 0
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [6,2,2] => 70
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [3,2] => 2
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => [10,2] => 9
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [4,3,3] => 77
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [8,3] => 27
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [5,3] => 9
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => [9,3] => 35
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [5,4] => 14
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [4] => 0
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [4,4] => 5
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [5,4] => 14
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [4,4,3] => 168
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [8] => 0
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [5,5] => 14
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [2] => 0
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [5,5] => 14
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [6] => 0
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [4,4] => 5
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [6] => 0
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [5,4] => 14
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => [12] => 0
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [4,2] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [6,6] => 42
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [3,3,3] => 16
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [6] => 0
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => [9,3] => 35
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [7] => 0
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [8,3] => 27
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [2,2] => 1
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [6,6] => 42
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => [12] => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [5,4] => 14
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [8,3] => 27
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [7] => 0
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [5,4] => 14
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [3,2] => 2
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [12] => 0
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,4] => 5
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [6] => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [2,2] => 1
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [2,2] => 1
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [7] => 0
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [5,5] => 14
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [3,3] => 2
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [5,5] => 14
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => [3,3] => 2
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [4,4,2,2] => 992
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,4,2,2] => 992
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [5,5] => 14
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [3] => 0
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [5,5] => 14
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [4,4] => 5
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [7] => 0
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [6,2,2] => 70
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => [10,2] => 9
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [3,2] => 2
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [5,4] => 14
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => [11] => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [5,4] => 14
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [4,4,3] => 168
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [5] => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [5,5] => 14
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [3] => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [4,4,3] => 168
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [8] => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [8] => 0
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [6,6] => 42
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [5,3] => 9
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [5,3] => 9
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [8,3] => 27
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [12] => 0
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [6] => 0
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [3,3,3] => 16
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [6] => 0
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [10] => 0
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [2,2] => 1
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [3,2] => 2
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [5,4] => 14
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => [9,3] => 35
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [6] => 0
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [8] => 0
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => [12] => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [5,5] => 14
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [6] => 0
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [4,4,4] => 168
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7] => 0
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [2] => 0
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [4] => 0
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [5] => 0
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [7] => 0
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [3,3,3] => 16
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [4,3,3] => 77
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [4,2] => 3
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [5,4] => 14
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [3] => 0
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => [11] => 0
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [5,5] => 14
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => [9,3] => 35
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [1] => 0
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [3] => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [4,4,4] => 168
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [3] => 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [4,2] => 3
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [4,2] => 3
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [8] => 0
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [2] => 0
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => [12] => 0
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [4] => 0
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [6] => 0
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [2] => 0
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [4] => 0
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [3,2] => 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => [10,2] => 9
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => [10,2] => 9
([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => [10,2] => 9
([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => [10,2] => 9
([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => [10,2] => 9
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of standard desarrangement tableaux of shape equal to the given partition.
A standard desarrangement tableau is a standard tableau whose first ascent is even. Here, an ascent of a standard tableau is an entry $i$ such that $i+1$ appears to the right or above $i$ in the tableau (with respect to English tableau notation).
This is also the nullity of the random-to-random operator (and the random-to-top) operator acting on the simple module of the symmetric group indexed by the given partition. See also:
  • St000046The largest eigenvalue of the random to random operator acting on the simple module corresponding to the given partition.: The largest eigenvalue of the random to random operator acting on the simple module corresponding to the given partition
  • St000500Eigenvalues of the random-to-random operator acting on the regular representation.: Eigenvalues of the random-to-random operator acting on the regular representation.
Map
promotion cycle type
Description
The cycle type of promotion on the linear extensions of a poset.