Identifier
-
Mp00306:
Posets
—rowmotion cycle type⟶
Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000473: Integer partitions ⟶ ℤ
Values
([],1) => [2] => [] => 0
([],2) => [2,2] => [2] => 1
([(0,1)],2) => [3] => [] => 0
([],3) => [2,2,2,2] => [2,2,2] => 3
([(1,2)],3) => [6] => [] => 0
([(0,1),(0,2)],3) => [3,2] => [2] => 1
([(0,2),(2,1)],3) => [4] => [] => 0
([(0,2),(1,2)],3) => [3,2] => [2] => 1
([(2,3)],4) => [6,6] => [6] => 1
([(1,2),(1,3)],4) => [6,2,2] => [2,2] => 2
([(0,1),(0,2),(0,3)],4) => [3,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(3,1)],4) => [7] => [] => 0
([(0,1),(0,2),(1,3),(2,3)],4) => [4,2] => [2] => 1
([(1,2),(2,3)],4) => [4,4] => [4] => 1
([(0,3),(3,1),(3,2)],4) => [4,2] => [2] => 1
([(1,3),(2,3)],4) => [6,2,2] => [2,2] => 2
([(0,3),(1,3),(3,2)],4) => [4,2] => [2] => 1
([(0,3),(1,3),(2,3)],4) => [3,2,2,2] => [2,2,2] => 3
([(0,3),(1,2)],4) => [3,3,3] => [3,3] => 2
([(0,3),(1,2),(1,3)],4) => [5,3] => [3] => 1
([(0,2),(0,3),(1,2),(1,3)],4) => [3,2,2] => [2,2] => 2
([(0,3),(2,1),(3,2)],4) => [5] => [] => 0
([(0,3),(1,2),(2,3)],4) => [7] => [] => 0
([(1,2),(1,3),(1,4)],5) => [6,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,2),(0,3),(0,4),(4,1)],5) => [7,6] => [6] => 1
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [7,2,2] => [2,2] => 2
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [4,2,2,2] => [2,2,2] => 3
([(1,3),(1,4),(4,2)],5) => [14] => [] => 0
([(0,3),(0,4),(4,1),(4,2)],5) => [7,2,2] => [2,2] => 2
([(1,2),(1,3),(2,4),(3,4)],5) => [4,4,2,2] => [4,2,2] => 3
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [5,2] => [2] => 1
([(0,3),(0,4),(3,2),(4,1)],5) => [4,3,3] => [3,3] => 2
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [5,4] => [4] => 1
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [4,2,2] => [2,2] => 2
([(2,3),(3,4)],5) => [4,4,4,4] => [4,4,4] => 3
([(1,4),(4,2),(4,3)],5) => [4,4,2,2] => [4,2,2] => 3
([(0,4),(4,1),(4,2),(4,3)],5) => [4,2,2,2] => [2,2,2] => 3
([(1,4),(2,4),(4,3)],5) => [4,4,2,2] => [4,2,2] => 3
([(0,4),(1,4),(4,2),(4,3)],5) => [4,2,2] => [2,2] => 2
([(1,4),(2,4),(3,4)],5) => [6,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,4),(1,4),(2,4),(4,3)],5) => [4,2,2,2] => [2,2,2] => 3
([(0,4),(1,4),(2,3)],5) => [6,3,3,3] => [3,3,3] => 3
([(0,4),(1,3),(2,3),(2,4)],5) => [8,3,2] => [3,2] => 2
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [5,3,2,2] => [3,2,2] => 3
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2,2,2,2] => [2,2,2,2] => 4
([(0,4),(1,4),(2,3),(4,2)],5) => [5,2] => [2] => 1
([(0,4),(1,3),(2,3),(3,4)],5) => [7,2,2] => [2,2] => 2
([(0,4),(1,4),(2,3),(2,4)],5) => [6,5,3] => [5,3] => 2
([(0,4),(1,4),(2,3),(3,4)],5) => [7,6] => [6] => 1
([(1,4),(2,3)],5) => [6,6,6] => [6,6] => 2
([(1,4),(2,3),(2,4)],5) => [10,6] => [6] => 1
([(0,4),(1,2),(1,4),(2,3)],5) => [8,3] => [3] => 1
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [5,4] => [4] => 1
([(1,3),(1,4),(2,3),(2,4)],5) => [6,2,2,2,2] => [2,2,2,2] => 4
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [7,2] => [2] => 1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [4,2,2] => [2,2] => 2
([(0,4),(1,2),(1,4),(4,3)],5) => [10] => [] => 0
([(0,4),(1,2),(1,3)],5) => [6,3,3,3] => [3,3,3] => 3
([(0,4),(1,2),(1,3),(1,4)],5) => [6,5,3] => [5,3] => 2
([(0,2),(0,4),(3,1),(4,3)],5) => [5,4] => [4] => 1
([(0,4),(1,2),(1,3),(3,4)],5) => [10,2] => [2] => 1
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [8] => [] => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [7,2,2] => [2,2] => 2
([(0,3),(0,4),(1,2),(1,4)],5) => [8,3,2] => [3,2] => 2
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [5,3,2,2] => [3,2,2] => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [3,2,2,2,2] => [2,2,2,2] => 4
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [10] => [] => 0
([(0,3),(1,2),(1,4),(3,4)],5) => [8,3] => [3] => 1
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [7,2] => [2] => 1
([(1,4),(3,2),(4,3)],5) => [10] => [] => 0
([(0,3),(3,4),(4,1),(4,2)],5) => [5,2] => [2] => 1
([(1,4),(2,3),(3,4)],5) => [14] => [] => 0
([(0,4),(1,2),(2,4),(4,3)],5) => [8] => [] => 0
([(0,3),(1,4),(4,2)],5) => [12] => [] => 0
([(0,4),(3,2),(4,1),(4,3)],5) => [8] => [] => 0
([(0,4),(1,2),(2,3),(2,4)],5) => [10] => [] => 0
([(0,4),(2,3),(3,1),(4,2)],5) => [6] => [] => 0
([(0,3),(1,2),(2,4),(3,4)],5) => [4,3,3] => [3,3] => 2
([(0,4),(1,2),(2,3),(3,4)],5) => [5,4] => [4] => 1
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [5,2] => [2] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [5,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => [6,4,3,3] => [4,3,3] => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => [8,4,2] => [4,2] => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2,2,2,2] => [2,2,2,2] => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => [6,5,4] => [5,4] => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [8,2,2] => [2,2] => 2
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => [7,6,6] => [6,6] => 2
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [10,7] => [7] => 1
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2,2] => [2,2,2,2] => 4
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [10,2,2] => [2,2] => 2
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [5,2,2] => [2,2] => 2
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [10,4,4] => [4,4] => 2
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [8,2] => [2] => 1
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [5,2,2] => [2,2] => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [11] => [] => 0
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => [6,4,3,3] => [4,3,3] => 3
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => [6,5,4] => [5,4] => 2
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => [8,4,2] => [4,2] => 2
>>> Load all 879 entries. <<<([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [4,2,2,2,2] => [2,2,2,2] => 4
([(2,3),(3,5),(5,4)],6) => [10,10] => [10] => 1
([(1,4),(4,5),(5,2),(5,3)],6) => [10,2,2] => [2,2] => 2
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [5,2,2,2] => [2,2,2] => 3
([(1,5),(2,5),(5,3),(5,4)],6) => [4,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [4,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [4,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [5,2,2,2] => [2,2,2] => 3
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => [8,6,2] => [6,2] => 2
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => [8,4,2] => [4,2] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => [8,3,2,2] => [3,2,2] => 3
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [7,2,2,2] => [2,2,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [4,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [10,2,2] => [2,2] => 2
([(1,5),(2,5),(3,4),(5,3)],6) => [10,2,2] => [2,2] => 2
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [8,2,2] => [2,2] => 2
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [8,2] => [2] => 1
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => [10,2,2] => [2,2] => 2
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => [10,6] => [6] => 1
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [6,5,4] => [5,4] => 2
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [5,2,2] => [2,2] => 2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => [8,6,3] => [6,3] => 2
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2] => [2,2,2] => 3
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => [11,5] => [5] => 1
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [5,3,3] => [3,3] => 2
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [15] => [] => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [8,2,2] => [2,2] => 2
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [8,6] => [6] => 1
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [6,2] => [2] => 1
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => [6,4,3,3] => [4,3,3] => 3
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => [8,4,2] => [4,2] => 2
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [8,2,2] => [2,2] => 2
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => [10,4,4] => [4,4] => 2
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5,4,4,4] => [4,4,4] => 3
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [5,2,2,2] => [2,2,2] => 3
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,2,2] => [2,2] => 2
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => [8,6,3] => [6,3] => 2
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [6,4,3] => [4,3] => 2
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [5,4,2] => [4,2] => 2
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [10,4,4] => [4,4] => 2
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [5,5] => [5] => 1
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => [10,4] => [4] => 1
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => [8,4] => [4] => 1
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => [7,2,2,2] => [2,2,2] => 3
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [4,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [4,3,3,2] => [3,3,2] => 3
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [5,4,2] => [4,2] => 2
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [4,2,2,2] => [2,2,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [5,4,2] => [4,2] => 2
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [5,2,2] => [2,2] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [8,2] => [2] => 1
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => [10,2,2,2] => [2,2,2] => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7,2,2,2,2] => [2,2,2,2] => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => [10,2,2] => [2,2] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6,5,3,2,2] => [5,3,2,2] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [10,6] => [6] => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => [8,6,3] => [6,3] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [7,6,2] => [6,2] => 2
([(1,5),(2,3),(2,5),(5,4)],6) => [10,10] => [10] => 1
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => [10,2,2] => [2,2] => 2
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [11,5] => [5] => 1
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [8,6,3] => [6,3] => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,5,4] => [5,4] => 2
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => [10,4,4] => [4,4] => 2
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => [5,4,4,4] => [4,4,4] => 3
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => [15] => [] => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [8,6] => [6] => 1
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => [8,3,2,2] => [3,2,2] => 3
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [7,2,2,2] => [2,2,2] => 3
([(1,3),(1,5),(4,2),(5,4)],6) => [10,4,4] => [4,4] => 2
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [13] => [] => 0
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [9,3] => [3] => 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [5,5] => [5] => 1
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [9,3] => [3] => 1
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [11] => [] => 0
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => [8,4,2] => [4,2] => 2
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [8,8] => [8] => 1
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [9] => [] => 0
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [8,2,2] => [2,2] => 2
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [11,3,3] => [3,3] => 2
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [13,2] => [2] => 1
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [10,2,2] => [2,2] => 2
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [11,2] => [2] => 1
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [11,2] => [2] => 1
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [11,5] => [5] => 1
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => [15] => [] => 0
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [11,3,3] => [3,3] => 2
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [6,4] => [4] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6,4,3,3] => [4,3,3] => 3
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [6,2] => [2] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [9,7] => [7] => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => [10,2,2] => [2,2] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [7,6,2] => [6,2] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => [7,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [4,2,2,2,2] => [2,2,2,2] => 4
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => [8,6,3] => [6,3] => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => [7,5,2] => [5,2] => 2
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [5,4,2,2] => [4,2,2] => 3
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => [7,5,5] => [5,5] => 2
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [10,10] => [10] => 1
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => [6,4,3] => [4,3] => 2
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => [7,5] => [5] => 1
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [11] => [] => 0
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [13,2] => [2] => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => [13,2] => [2] => 1
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => [8,4] => [4] => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => [8,7] => [7] => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => [8,4,2] => [4,2] => 2
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => [13] => [] => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [10,6] => [6] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => [10,6] => [6] => 1
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => [17] => [] => 0
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => [10,2,2] => [2,2] => 2
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => [10,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [8,2] => [2] => 1
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [11] => [] => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => [8,6,3] => [6,3] => 2
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [8,7] => [7] => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [7,5,2] => [5,2] => 2
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2] => [2,2,2] => 3
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => [10,4] => [4] => 1
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => [5,5,3] => [5,3] => 2
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [11] => [] => 0
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [8,2] => [2] => 1
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => [7,4,4] => [4,4] => 2
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [9,3] => [3] => 1
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => [6,4,3] => [4,3] => 2
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [11] => [] => 0
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [8,2,2] => [2,2] => 2
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => [8,6,2] => [6,2] => 2
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => [10,2,2] => [2,2] => 2
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => [7,5] => [5] => 1
([(1,5),(2,3),(3,5),(5,4)],6) => [8,8] => [8] => 1
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [8,2] => [2] => 1
([(1,5),(4,3),(5,2),(5,4)],6) => [8,8] => [8] => 1
([(1,5),(2,3),(3,4),(3,5)],6) => [10,10] => [10] => 1
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [6,6] => [6] => 1
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [8,6] => [6] => 1
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => [10,6] => [6] => 1
([(1,5),(3,4),(4,2),(5,3)],6) => [6,6] => [6] => 1
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [6,2] => [2] => 1
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [5,3,3] => [3,3] => 2
([(0,5),(1,4),(4,2),(5,3)],6) => [4,4,4,4] => [4,4,4] => 3
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [6,4] => [4] => 1
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => [10,4] => [4] => 1
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [4,3,3,2] => [3,3,2] => 3
([(1,5),(2,3),(3,4),(4,5)],6) => [10,4,4] => [4,4] => 2
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [10,2,2] => [2,2] => 2
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [6,2] => [2] => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [6,4] => [4] => 1
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [9,5] => [5] => 1
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [9,3] => [3] => 1
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [11] => [] => 0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [10,7] => [7] => 1
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [7,5] => [5] => 1
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => [11,7,3] => [7,3] => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6,5,3,2,2] => [5,3,2,2] => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => [5,5,3,2,2] => [5,3,2,2] => 4
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [5,3,2,2,2,2] => [3,2,2,2,2] => 5
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => [13,2] => [2] => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [17] => [] => 0
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [9,7] => [7] => 1
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [9,5] => [5] => 1
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [5,4,2] => [4,2] => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [5,2,2] => [2,2] => 2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [5,5] => [5] => 1
([(0,5),(1,3),(4,2),(5,4)],6) => [15] => [] => 0
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [5,3,3] => [3,3] => 2
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => [5,5,3] => [5,3] => 2
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [11] => [] => 0
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [9] => [] => 0
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [7,5] => [5] => 1
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [7] => [] => 0
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => [7,5,5] => [5,5] => 2
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [9] => [] => 0
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => [15] => [] => 0
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [11] => [] => 0
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [6,2] => [2] => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [13] => [] => 0
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [9] => [] => 0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [7,6,6] => [6,6] => 2
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => [8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => [9,3,2,2] => [3,2,2] => 3
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [5,5,2,2] => [5,2,2] => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [11,2,2] => [2,2] => 2
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => [9,6,2] => [6,2] => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [8,5,2] => [5,2] => 2
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => [11,6] => [6] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => [9,6,3] => [6,3] => 2
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [9,2,2] => [2,2] => 2
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => [11,2,2] => [2,2] => 2
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [8,6,4,2] => [6,4,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [11,2,2] => [2,2] => 2
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [11,2,2,2] => [2,2,2] => 3
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8,2,2,2,2] => [2,2,2,2] => 4
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [8,6,4,2] => [6,4,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [14,2] => [2] => 1
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [6,2,2] => [2,2] => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [5,3,3,2] => [3,3,2] => 3
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [5,5,2] => [5,2] => 2
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [5,2,2,2] => [2,2,2] => 3
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => [8,6,2] => [6,2] => 2
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [9,8] => [8] => 1
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [11,2,2] => [2,2] => 2
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [9,2] => [2] => 1
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => [4,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [6,2,2,2] => [2,2,2] => 3
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => [8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [11,2,2] => [2,2] => 2
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [6,2,2,2] => [2,2,2] => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [8,5,2] => [5,2] => 2
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => [6,4,3,2,2] => [4,3,2,2] => 4
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [7,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [4,3,3,2,2,2] => [3,3,2,2,2] => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [4,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => [5,5,2,2] => [5,2,2] => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => [9,3,2,2] => [3,2,2] => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [9,6,2] => [6,2] => 2
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => [8,6,2] => [6,2] => 2
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [8,6,4] => [6,4] => 2
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [6,5,4,2] => [5,4,2] => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => [6,5,5] => [5,5] => 2
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [7,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [9,2] => [2] => 1
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [9,6,3] => [6,3] => 2
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [11,6] => [6] => 1
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => [9,6,3] => [6,3] => 2
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => [11,6] => [6] => 1
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => [8,8] => [8] => 1
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => [8,5,2] => [5,2] => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => [9,6,3] => [6,3] => 2
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [6,5,5] => [5,5] => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [12] => [] => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => [8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [6,2,2] => [2,2] => 2
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => [11,2,2] => [2,2] => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [6,2,2] => [2,2] => 2
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [6,5,3,3] => [5,3,3] => 3
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [8,6,2] => [6,2] => 2
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => [6,5,3,3] => [5,3,3] => 3
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [6,4,2] => [4,2] => 2
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => [10,6,4] => [6,4] => 2
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [6,2,2] => [2,2] => 2
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [6,4,3,3,2] => [4,3,3,2] => 4
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => [8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [12] => [] => 0
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [7,2] => [2] => 1
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [7,2] => [2] => 1
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => [14,2] => [2] => 1
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [9,2,2] => [2,2] => 2
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [6,2,2] => [2,2] => 2
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [5,3,3,2] => [3,3,2] => 3
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => [5,5,3,2,2] => [5,3,2,2] => 4
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [9,2,2] => [2,2] => 2
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => [7,6,5] => [6,5] => 2
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => [11,6] => [6] => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [5,5,2] => [5,2] => 2
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => [11,2,2] => [2,2] => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => [13,2,2] => [2,2] => 2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [5,2,2,2] => [2,2,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [5,3,3,2] => [3,3,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [5,5,2] => [5,2] => 2
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [5,2,2,2] => [2,2,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [9,6] => [6] => 1
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [9,2] => [2] => 1
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => [11,2,2] => [2,2] => 2
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => [9,8] => [8] => 1
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [9,2] => [2] => 1
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => [6,4,3,2,2] => [4,3,2,2] => 4
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => [12,3] => [3] => 1
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => [8,4,2,2] => [4,2,2] => 3
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => [10,10] => [10] => 1
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [5,5,2] => [5,2] => 2
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => [10,6,4] => [6,4] => 2
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => [8,6,4] => [6,4] => 2
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [10,3] => [3] => 1
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => [10,4,4] => [4,4] => 2
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => [14] => [] => 0
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => [16] => [] => 0
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => [16] => [] => 0
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => [9,3,2] => [3,2] => 2
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => [6,4,3,3,2] => [4,3,3,2] => 4
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => [6,5,4,2] => [5,4,2] => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [4,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8,6,4,2] => [6,4,2] => 3
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [13,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => [9,3,2] => [3,2] => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [8,2,2] => [2,2] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => [11,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => [11,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => [9,3,2] => [3,2] => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [8,2,2,2,2] => [2,2,2,2] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [11,2,2,2] => [2,2,2] => 3
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [15,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => [11,2,2] => [2,2] => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [6,4,3,2,2] => [4,3,2,2] => 4
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => [11,2,2] => [2,2] => 2
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => [11,6] => [6] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [7,6,5] => [6,5] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [8,6,4,2] => [6,4,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => [8,6,4] => [6,4] => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [5,2,2,2] => [2,2,2] => 3
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => [11,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [8,2,2] => [2,2] => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [5,3,3,2] => [3,3,2] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [10,6,4] => [6,4] => 2
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [15,2] => [2] => 1
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [11,2,2] => [2,2] => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [9,6,3] => [6,3] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => [6] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [8,6,2] => [6,2] => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [11,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [6,2,2] => [2,2] => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [9,2] => [2] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [6,4,2] => [4,2] => 2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [8,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [5,5,4,2] => [5,4,2] => 3
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [5,5,2,2] => [5,2,2] => 3
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => [6,5,5] => [5,5] => 2
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => [9,6,3] => [6,3] => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,5,4,2] => [5,4,2] => 3
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => [9,8] => [8] => 1
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [9,6] => [6] => 1
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => [8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => [16] => [] => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [9,6,3] => [6,3] => 2
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [11,6] => [6] => 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => [6,5,5] => [5,5] => 2
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => [6,5,3,3] => [5,3,3] => 3
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => [6,2,2,2] => [2,2,2] => 3
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => [11,2,2] => [2,2] => 2
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,5,3,2,2] => [5,3,2,2] => 4
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => [6] => 1
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [12,3,2] => [3,2] => 2
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9,3,2,2] => [3,2,2] => 3
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) => [9,6,3] => [6,3] => 2
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => [6,5,3] => [5,3] => 2
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [5,5,2] => [5,2] => 2
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [10,10] => [10] => 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [6,5] => [5] => 1
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => [10,5] => [5] => 1
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => [8,5] => [5] => 1
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [7,6] => [6] => 1
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => [11,6] => [6] => 1
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => [9,6,2] => [6,2] => 2
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => [14,2] => [2] => 1
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => [8,5] => [5] => 1
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => [9,3,2,2] => [3,2,2] => 3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => [11,2,2] => [2,2] => 2
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [7,6] => [6] => 1
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [12] => [] => 0
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => [6,5,3] => [5,3] => 2
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => [6,5,3] => [5,3] => 2
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => [10,7] => [7] => 1
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [9,3,2] => [3,2] => 2
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => [10,3,3] => [3,3] => 2
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [6,5,3] => [5,3] => 2
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => [12,3] => [3] => 1
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [10,3] => [3] => 1
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => [12,3] => [3] => 1
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [7,4] => [4] => 1
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [11,6] => [6] => 1
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [6,4,2] => [4,2] => 2
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => [16] => [] => 0
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,4,3,2,2] => [4,3,2,2] => 4
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => [12,3] => [3] => 1
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => [10,6,4] => [6,4] => 2
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [7,6] => [6] => 1
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [9,4,2] => [4,2] => 2
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [11,2,2] => [2,2] => 2
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [12,2] => [2] => 1
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => [14,2] => [2] => 1
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [5,5,3,2,2] => [5,3,2,2] => 4
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [11,2,2] => [2,2] => 2
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [14,2] => [2] => 1
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [9,2,2] => [2,2] => 2
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [16] => [] => 0
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => [6,5,3,3] => [5,3,3] => 3
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [7,2] => [2] => 1
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [9,2] => [2] => 1
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [12,5] => [5] => 1
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => [9,6,3] => [6,3] => 2
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => [8,5,2] => [5,2] => 2
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [5,5,2,2] => [5,2,2] => 3
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [14,2] => [2] => 1
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => [11,6] => [6] => 1
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => [9,6,2] => [6,2] => 2
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [10,6,4] => [6,4] => 2
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,4,3,3,2] => [4,3,3,2] => 4
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [6,4,2] => [4,2] => 2
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [9,2] => [2] => 1
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [7,6] => [6] => 1
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [6,3,3] => [3,3] => 2
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => [10,10] => [10] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => [7,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) => [6,4,3,3,2] => [4,3,3,2] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [6,5,4,2] => [5,4,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [15,2] => [2] => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [8,6,2] => [6,2] => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => [5,5,2,2] => [5,2,2] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7) => [10,6,4] => [6,4] => 2
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => [11,4,2] => [4,2] => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => [11,7,3] => [7,3] => 2
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7) => [8,5,4] => [5,4] => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => [5,5,4,2] => [5,4,2] => 3
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => [16] => [] => 0
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => [12,3] => [3] => 1
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => [14] => [] => 0
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => [11,2] => [2] => 1
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [10,5,2] => [5,2] => 2
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => [11,4,2] => [4,2] => 2
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => [12,3] => [3] => 1
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => [9,6,2] => [6,2] => 2
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => [14] => [] => 0
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [8,5,2] => [5,2] => 2
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7) => [8,5,4] => [5,4] => 2
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => [8,8] => [8] => 1
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11,4,2] => [4,2] => 2
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8,5,4] => [5,4] => 2
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8,4,2,2] => [4,2,2] => 3
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => [13,4] => [4] => 1
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => [10,5] => [5] => 1
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => [14] => [] => 0
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => [11,6] => [6] => 1
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7) => [7,6,5] => [6,5] => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8,6,4] => [6,4] => 2
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => [10,10] => [10] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [11,6] => [6] => 1
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [8,6,4] => [6,4] => 2
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => [14,2] => [2] => 1
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [11,2,2] => [2,2] => 2
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => [8,6,4] => [6,4] => 2
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [8,6,2] => [6,2] => 2
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [9,8] => [8] => 1
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) => [10,6,4] => [6,4] => 2
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => [11,2,2] => [2,2] => 2
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [12] => [] => 0
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [9,2] => [2] => 1
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11,2,2,2] => [2,2,2] => 3
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [11,2,2,2] => [2,2,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [14,2] => [2] => 1
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) => [9,6,3] => [6,3] => 2
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [12,3,2] => [3,2] => 2
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,5,2] => [5,2] => 2
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [11,2,2] => [2,2] => 2
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,2,2,2] => [2,2,2] => 3
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => [14,2] => [2] => 1
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => [8,8] => [8] => 1
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7) => [17] => [] => 0
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => [10,7] => [7] => 1
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => [10,5] => [5] => 1
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => [6,5,3] => [5,3] => 2
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [12] => [] => 0
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => [16] => [] => 0
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [7,6] => [6] => 1
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => [10,5,2] => [5,2] => 2
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [6,2,2] => [2,2] => 2
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => [5,5,3,2,2] => [5,3,2,2] => 4
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [11,2,2] => [2,2] => 2
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => [8,3,3] => [3,3] => 2
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => [8,5] => [5] => 1
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [8,2,2] => [2,2] => 2
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => [11,2,2] => [2,2] => 2
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [16] => [] => 0
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [10,5] => [5] => 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [10,3] => [3] => 1
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => [10,5] => [5] => 1
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => [14] => [] => 0
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => [8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => [12,3] => [3] => 1
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [7,6] => [6] => 1
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => [14] => [] => 0
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => [16] => [] => 0
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => [10,10] => [10] => 1
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [12] => [] => 0
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [10,5] => [5] => 1
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [10,3] => [3] => 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [6,5] => [5] => 1
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [10,7] => [7] => 1
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [9,4] => [4] => 1
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [6,4,2] => [4,2] => 2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [9,2] => [2] => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [6,2,2] => [2,2] => 2
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => [8,2,2,2] => [2,2,2] => 3
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [6,2,2] => [2,2] => 2
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [12] => [] => 0
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => [16] => [] => 0
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => [14] => [] => 0
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => [12,3] => [3] => 1
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [11,2] => [2] => 1
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => [6,4,4,2] => [4,4,2] => 3
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [6,2,2,2] => [2,2,2] => 3
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [6,4,2,2] => [4,2,2] => 3
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => [6,6,2,2] => [6,2,2] => 3
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => [6,2,2,2] => [2,2,2] => 3
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [5,3,3,2] => [3,3,2] => 3
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [8,3,3] => [3,3] => 2
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,3,3,2] => [3,3,2] => 3
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => [16] => [] => 0
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3,3,2,2,2] => [3,3,2,2,2] => 5
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [10] => [] => 0
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [14] => [] => 0
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [6,4,2] => [4,2] => 2
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => [14,2] => [2] => 1
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [12] => [] => 0
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => [10,7] => [7] => 1
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => [8,5] => [5] => 1
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => [12,3] => [3] => 1
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => [16] => [] => 0
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => [14] => [] => 0
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10,10] => [10] => 1
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => [10,7] => [7] => 1
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => [12,3] => [3] => 1
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => [6,5,3] => [5,3] => 2
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [5,5,2] => [5,2] => 2
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => [9,6,3] => [6,3] => 2
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => [10,5] => [5] => 1
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => [8,5] => [5] => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [5,4,2,2,2,2] => [4,2,2,2,2] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [7,2,2,2,2,2] => [2,2,2,2,2] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => [4,2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => [10,5,2] => [5,2] => 2
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [14,2] => [2] => 1
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [11,4,2] => [4,2] => 2
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => [16] => [] => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [10,6,4] => [6,4] => 2
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => [11,2] => [2] => 1
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [11,7,3] => [7,3] => 2
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => [14] => [] => 0
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7) => [10,4,4] => [4,4] => 2
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,5,2] => [5,2] => 2
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [14,2] => [2] => 1
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => [10,5] => [5] => 1
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => [6,5,3] => [5,3] => 2
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => [12,5] => [5] => 1
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => [10,10] => [10] => 1
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [9,8] => [8] => 1
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => [11,6] => [6] => 1
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [6,5] => [5] => 1
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => [10,5] => [5] => 1
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [7,6] => [6] => 1
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => [14] => [] => 0
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => [10,5,2] => [5,2] => 2
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7) => [8,5,4] => [5,4] => 2
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [8,5,2] => [5,2] => 2
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => [6,5,5] => [5,5] => 2
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7) => [7,6,5] => [6,5] => 2
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [12,5] => [5] => 1
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => [6,5,5] => [5,5] => 2
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7) => [7,6,5] => [6,5] => 2
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => [9,8] => [8] => 1
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => [5,4,4,4] => [4,4,4] => 3
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => [7,5,4] => [5,4] => 2
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [10,3] => [3] => 1
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => [10,5] => [5] => 1
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => [8,8] => [8] => 1
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => [14,2] => [2] => 1
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [12,2] => [2] => 1
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [9,6,2] => [6,2] => 2
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [12] => [] => 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [16] => [] => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [6,4,2,2] => [4,2,2] => 3
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [10] => [] => 0
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => [9,8] => [8] => 1
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [12,2] => [2] => 1
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [9,2,2] => [2,2] => 2
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [9,2,2] => [2,2] => 2
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [9,4,2] => [4,2] => 2
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => [12,5] => [5] => 1
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => [9,4,2] => [4,2] => 2
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [5,4,2,2,2] => [4,2,2,2] => 4
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [5,2,2,2,2] => [2,2,2,2] => 4
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => [5,5,2,2] => [5,2,2] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => [5,5,4,2] => [5,4,2] => 3
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => [8,5,2] => [5,2] => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [9,6,3] => [6,3] => 2
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => [11,2,2] => [2,2] => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [9,8] => [8] => 1
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => [13,2,2] => [2,2] => 2
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => [14] => [] => 0
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7) => [17] => [] => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [14,2] => [2] => 1
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => [10,5,2] => [5,2] => 2
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => [8,5] => [5] => 1
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => [9,6] => [6] => 1
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => [9,6] => [6] => 1
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [14,2] => [2] => 1
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => [16] => [] => 0
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => [6,5,3] => [5,3] => 2
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => [16] => [] => 0
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [12] => [] => 0
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => [14] => [] => 0
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [12] => [] => 0
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [7,6] => [6] => 1
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => [7,5,2,2] => [5,2,2] => 3
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => [8,5,2] => [5,2] => 2
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => [10,5,2] => [5,2] => 2
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => [14] => [] => 0
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => [6,5,5] => [5,5] => 2
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => [12,3] => [3] => 1
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => [13,4] => [4] => 1
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [9,4] => [4] => 1
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [9,2] => [2] => 1
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [12] => [] => 0
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [13,2] => [2] => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [9,2] => [2] => 1
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [11,2] => [2] => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [6,2,2] => [2,2] => 2
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => [10,7] => [7] => 1
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => [11,6] => [6] => 1
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [6,5] => [5] => 1
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => [14] => [] => 0
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [10,3] => [3] => 1
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => [10,5] => [5] => 1
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => [7,5,4] => [5,4] => 2
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => [6,5,3] => [5,3] => 2
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [7,6] => [6] => 1
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => [6,5,3,3] => [5,3,3] => 3
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => [14,2] => [2] => 1
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [11,2,2] => [2,2] => 2
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [9,2,2] => [2,2] => 2
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => [11,2,2] => [2,2] => 2
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [14] => [] => 0
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => [9,8] => [8] => 1
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [9,2] => [2] => 1
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [15,2] => [2] => 1
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => [14] => [] => 0
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [9,6] => [6] => 1
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => [7,6,5] => [6,5] => 2
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [14] => [] => 0
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [7,2] => [2] => 1
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [10,5] => [5] => 1
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [7,4] => [4] => 1
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [12] => [] => 0
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => [10,4,4] => [4,4] => 2
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [12] => [] => 0
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [16] => [] => 0
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [12] => [] => 0
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => [14] => [] => 0
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [7,6] => [6] => 1
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [6,6,6] => [6,6] => 2
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [6,3,3] => [3,3] => 2
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => [12,3] => [3] => 1
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [7,6] => [6] => 1
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [10] => [] => 0
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => [14] => [] => 0
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [14] => [] => 0
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => [16] => [] => 0
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => [6,5,3] => [5,3] => 2
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [8] => [] => 0
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [16] => [] => 0
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [10] => [] => 0
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => [16] => [] => 0
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [9,8] => [8] => 1
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [9,6] => [6] => 1
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [16] => [] => 0
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [10] => [] => 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [6,3,3] => [3,3] => 2
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [6,3,3] => [3,3] => 2
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => [6,5,3,3] => [5,3,3] => 3
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [9,2,2] => [2,2] => 2
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => [11,6] => [6] => 1
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [7,2] => [2] => 1
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => [11,2,2] => [2,2] => 2
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => [9,4,2] => [4,2] => 2
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [7,4] => [4] => 1
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [7,6] => [6] => 1
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [7,2] => [2] => 1
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => [5,4,4,4] => [4,4,4] => 3
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [7,4] => [4] => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => [8,6,2] => [6,2] => 2
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [7,5] => [5] => 1
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => [7,6,3] => [6,3] => 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => [8,7] => [7] => 1
([(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) => [8,8] => [8] => 1
([(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) => [8,8] => [8] => 1
([(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) => [9,8] => [8] => 1
([(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) => [9,8] => [8] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 2,2,0,1
F1=1
F2=1+q
F3=2+2 q+q3
Description
The number of parts of a partition that are strictly bigger than the number of ones.
This is part of the definition of Dyson's crank of a partition, see St000474Dyson's crank of a partition..
This is part of the definition of Dyson's crank of a partition, see St000474Dyson's crank of a partition..
Map
first row removal
Description
Removes the first entry of an integer partition
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.
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