Identifier
-
Mp00198:
Posets
—incomparability graph⟶
Graphs
Mp00275: Graphs —to edge-partition of connected components⟶ Integer partitions
St000179: Integer partitions ⟶ ℤ
Values
([],1) => ([],1) => [] => 1
([],2) => ([(0,1)],2) => [1] => 1
([(0,1)],2) => ([],2) => [] => 1
([],3) => ([(0,1),(0,2),(1,2)],3) => [3] => 6
([(1,2)],3) => ([(0,2),(1,2)],3) => [2] => 2
([(0,1),(0,2)],3) => ([(1,2)],3) => [1] => 1
([(0,2),(2,1)],3) => ([],3) => [] => 1
([(0,2),(1,2)],3) => ([(1,2)],3) => [1] => 1
([],4) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [6] => 720
([(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [5] => 120
([(1,2),(1,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => [4] => 24
([(0,1),(0,2),(0,3)],4) => ([(1,2),(1,3),(2,3)],4) => [3] => 6
([(0,2),(0,3),(3,1)],4) => ([(1,3),(2,3)],4) => [2] => 2
([(0,1),(0,2),(1,3),(2,3)],4) => ([(2,3)],4) => [1] => 1
([(1,2),(2,3)],4) => ([(0,3),(1,3),(2,3)],4) => [3] => 6
([(0,3),(3,1),(3,2)],4) => ([(2,3)],4) => [1] => 1
([(1,3),(2,3)],4) => ([(0,3),(1,2),(1,3),(2,3)],4) => [4] => 24
([(0,3),(1,3),(3,2)],4) => ([(2,3)],4) => [1] => 1
([(0,3),(1,3),(2,3)],4) => ([(1,2),(1,3),(2,3)],4) => [3] => 6
([(0,3),(1,2)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => [4] => 24
([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(2,3)],4) => [3] => 6
([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2)],4) => [1,1] => 2
([(0,3),(2,1),(3,2)],4) => ([],4) => [] => 1
([(0,3),(1,2),(2,3)],4) => ([(1,3),(2,3)],4) => [2] => 2
([],5) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [10] => 3628800
([(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => 362880
([(2,3),(2,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => 40320
([(1,2),(1,3),(1,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 5040
([(0,1),(0,2),(0,3),(0,4)],5) => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,2),(0,3),(0,4),(4,1)],5) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 120
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => 24
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => ([(2,3),(2,4),(3,4)],5) => [3] => 6
([(1,3),(1,4),(4,2)],5) => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,3),(0,4),(4,1),(4,2)],5) => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => 24
([(1,2),(1,3),(2,4),(3,4)],5) => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 120
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(3,4)],5) => [1] => 1
([(0,3),(0,4),(3,2),(4,1)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => [4] => 24
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => [3] => 6
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3)],5) => [1,1] => 2
([(2,3),(3,4)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 5040
([(1,4),(4,2),(4,3)],5) => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 120
([(0,4),(4,1),(4,2),(4,3)],5) => ([(2,3),(2,4),(3,4)],5) => [3] => 6
([(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => 40320
([(1,4),(2,4),(4,3)],5) => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 120
([(0,4),(1,4),(4,2),(4,3)],5) => ([(1,4),(2,3)],5) => [1,1] => 2
([(1,4),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 5040
([(0,4),(1,4),(2,4),(4,3)],5) => ([(2,3),(2,4),(3,4)],5) => [3] => 6
([(0,4),(1,4),(2,4),(3,4)],5) => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,4),(1,4),(2,3)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => 5040
([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => 120
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => 8
([(0,4),(1,4),(2,3),(4,2)],5) => ([(3,4)],5) => [1] => 1
([(0,4),(1,3),(2,3),(3,4)],5) => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => 24
([(0,4),(1,4),(2,3),(2,4)],5) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,4),(1,4),(2,3),(3,4)],5) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => 120
([(1,4),(2,3)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [8] => 40320
([(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => 5040
([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => 120
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(1,4),(2,3),(3,4)],5) => [3] => 6
([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [6] => 720
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,1),(2,4),(3,4)],5) => [2,1] => 3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => ([(1,4),(2,3)],5) => [1,1] => 2
([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [4] => 24
([(0,4),(1,2),(1,3)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => 5040
([(0,4),(1,2),(1,3),(1,4)],5) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,2),(0,4),(3,1),(4,3)],5) => ([(1,4),(2,4),(3,4)],5) => [3] => 6
([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => 120
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(2,4),(3,4)],5) => [2] => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => 24
([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => 120
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => ([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => 8
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5) => [4] => 24
([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => 120
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,1),(2,4),(3,4)],5) => [2,1] => 3
([(1,4),(3,2),(4,3)],5) => ([(0,4),(1,4),(2,4),(3,4)],5) => [4] => 24
([(0,3),(3,4),(4,1),(4,2)],5) => ([(3,4)],5) => [1] => 1
([(1,4),(2,3),(3,4)],5) => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => 720
([(0,4),(1,2),(2,4),(4,3)],5) => ([(2,4),(3,4)],5) => [2] => 2
([(0,3),(1,4),(4,2)],5) => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6] => 720
([(0,4),(3,2),(4,1),(4,3)],5) => ([(2,4),(3,4)],5) => [2] => 2
([(0,4),(1,2),(2,3),(2,4)],5) => ([(0,4),(1,4),(2,3),(3,4)],5) => [4] => 24
([(0,4),(2,3),(3,1),(4,2)],5) => ([],5) => [] => 1
([(0,3),(1,2),(2,4),(3,4)],5) => ([(1,3),(1,4),(2,3),(2,4)],5) => [4] => 24
([(0,4),(1,2),(2,3),(3,4)],5) => ([(1,4),(2,4),(3,4)],5) => [3] => 6
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(3,4)],5) => [1] => 1
([(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [12] => 479001600
([(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(1,3),(1,4),(1,5),(5,2)],6) => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([(3,4),(3,5),(4,5)],6) => [3] => 6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
>>> Load all 2023 entries. <<<([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => 120
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 8
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 24
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 40320
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(2,3),(2,4),(4,5)],6) => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(1,4),(1,5),(5,2),(5,3)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(2,3),(2,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => ([(2,5),(3,4)],6) => [1,1] => 2
([(1,4),(1,5),(4,3),(5,2)],6) => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => 362880
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => ([(1,2),(3,5),(4,5)],6) => [2,1] => 3
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(2,5),(3,4)],6) => [1,1] => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => 24
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => 120
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 8
([(3,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [12] => 479001600
([(2,3),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(1,5),(5,2),(5,3),(5,4)],6) => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(2,3),(3,5),(5,4)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(1,4),(4,5),(5,2),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([(3,4),(3,5),(4,5)],6) => [3] => 6
([(2,5),(3,5),(5,4)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(1,5),(2,5),(5,3),(5,4)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 8
([(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [12] => 479001600
([(1,5),(2,5),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 8
([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,5),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [11] => 39916800
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([(3,4),(3,5),(4,5)],6) => [3] => 6
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(1,5),(2,5),(3,4)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [12] => 479001600
([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => 40320
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => 120
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => 24
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 8
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(1,5),(2,5),(3,4),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(1,5),(2,4),(3,4),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 24
([(0,5),(1,5),(2,3),(5,4)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 362880
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(1,2),(3,5),(4,5)],6) => [2,1] => 3
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(1,5),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => ([(2,5),(3,4)],6) => [1,1] => 2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 40320
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => 30
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => [4] => 24
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 24
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([(4,5)],6) => [1] => 1
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 24
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => ([(3,4),(3,5),(4,5)],6) => [3] => 6
([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => 840
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(2,5),(3,4)],6) => [1,1] => 2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [12] => 479001600
([(1,5),(2,3),(2,5),(3,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 40320
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => 8
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => ([(2,5),(3,4),(4,5)],6) => [3] => 6
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5] => 120
([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => 30
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => 30
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => ([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => 8
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => ([(0,5),(1,4),(2,3)],6) => [1,1,1] => 6
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [10] => 3628800
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => 8
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => ([(2,5),(3,4)],6) => [1,1] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => ([(1,2),(3,5),(4,5)],6) => [2,1] => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => 720
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 144
([(1,5),(2,3),(2,5),(5,4)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(1,5),(2,3),(2,4)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [12] => 479001600
([(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 40320
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,5),(1,2),(1,3),(1,4)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [11] => 39916800
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => 24
([(1,3),(1,5),(4,2),(5,4)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => 720
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => 120
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6) => [3] => 6
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => 120
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4] => 24
([(1,5),(2,3),(2,4),(4,5)],6) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(3,5),(4,5)],6) => [2] => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 24
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => 3628800
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 40320
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(2,5),(3,5),(4,5)],6) => [3] => 6
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 362880
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(4,5)],6) => [1] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(1,4),(1,5),(2,3),(2,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 144
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => 30
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => 8
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => 120
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => 120
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => ([(1,5),(2,4),(3,4),(3,5)],6) => [4] => 24
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 362880
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5] => 120
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => 720
([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => 840
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => 720
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => ([(1,2),(3,5),(4,5)],6) => [2,1] => 3
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => 24
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 40320
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => 30
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [7] => 5040
([(1,4),(2,3),(2,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => 720
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => 12
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(1,2),(3,5),(4,5)],6) => [2,1] => 3
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 40320
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => 120
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [4] => 24
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => 24
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => 720
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => 120
([(2,5),(3,4),(4,5)],6) => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [11] => 39916800
([(1,5),(2,3),(3,5),(5,4)],6) => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(1,2),(3,5),(4,5)],6) => [2,1] => 3
([(1,3),(2,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [11] => 39916800
([(1,5),(4,3),(5,2),(5,4)],6) => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(1,5),(2,3),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5] => 120
([(0,4),(1,5),(5,2),(5,3)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 362880
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => 120
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(1,5),(3,4),(4,2),(5,3)],6) => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5] => 120
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([(4,5)],6) => [1] => 1
([(1,4),(2,3),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => [4] => 24
([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [9] => 362880
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(2,5),(3,5),(4,5)],6) => [3] => 6
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => 5040
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => 30
([(1,5),(2,3),(3,4),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(4,5)],6) => [1] => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(2,5),(3,5),(4,5)],6) => [3] => 6
([(0,5),(1,4),(2,3)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [12] => 479001600
([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [11] => 39916800
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => 120
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => 24
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => 5040
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => 120
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [9] => 362880
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [8] => 40320
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [7] => 5040
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => 144
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 40320
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => 3628800
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => 362880
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => 5040
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => 5040
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => ([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => 8
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => ([(2,5),(3,4)],6) => [1,1] => 2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => ([(2,5),(3,4),(4,5)],6) => [3] => 6
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => 362880
([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [8] => 40320
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(2,4),(2,5),(3,4),(3,5)],6) => [4] => 24
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => 24
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(3,5),(4,5)],6) => [2] => 2
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => 120
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([],6) => [] => 1
([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => 3628800
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => 40320
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(3,5),(4,5)],6) => [2] => 2
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => 720
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(1,5),(2,5),(3,5),(4,5)],6) => [4] => 24
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(4,5)],6) => [1] => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => 720
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(3,5),(4,5)],6) => [2] => 2
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => 40320
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => 720
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 362880
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(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) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 144
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 30
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 8
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => 6
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(2,5),(5,6),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 144
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 24
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(4,5),(4,6),(5,6)],7) => [3] => 6
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(4,5),(4,6),(5,6)],7) => [3] => 6
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10,1] => 3991680
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => 360
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => 360
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 144
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => 144
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9,1] => 403200
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(2,6),(3,6),(4,5),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => 80
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => 360
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 24
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 8
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => 5760
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => 24
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(5,6)],7) => [1] => 1
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => ([(5,6)],7) => [1] => 1
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => 2016
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 30
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 8
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => 7560
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => 6
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => 45360
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 8
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => 6
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 144
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 8
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => 144
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => 5760
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => 20
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [12] => 479001600
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 840
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => 144
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => 8
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => 144
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => 720
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => 5040
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 40320
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => 6
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 840
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [8] => 40320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 30
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => 45360
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => 360
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => 2016
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => ([(4,5),(4,6),(5,6)],7) => [3] => 6
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7) => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => 360
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => 80
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 24
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7) => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(1,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 8
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(3,6),(4,5),(5,6)],7) => [3] => 6
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => 120
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => 120
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => 120
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => 720
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => 120
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => 24
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,6),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(1,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => 144
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 120
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(3,6),(4,6),(5,6)],7) => [3] => 6
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 8
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => 120
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 362880
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(5,6)],7) => [1] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7) => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => 5760
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 8
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => 120
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => 24
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7) => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => 45360
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8,1] => 45360
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 840
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => 5760
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(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) => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => 20
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => 1440
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7) => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7) => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7) => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [12] => 479001600
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7) => ([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => 720
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => 30
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7) => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6] => 720
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7) => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => 5040
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 720
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7) => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [12] => 479001600
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7) => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7) => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7) => ([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7) => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7) => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7) => ([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9,1] => 403200
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => 45360
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7) => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7) => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7) => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7) => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7) => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7) => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7) => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => 40320
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => 5040
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => 720
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7) => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7) => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7) => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7) => ([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7) => ([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7) => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10,1] => 3991680
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7) => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7) => ([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 24
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7) => ([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7) => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 362880
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => 360
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7) => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => 12
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => 80
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7) => ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [9] => 362880
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => 40320
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 720
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 24
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7) => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => 120
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => 144
([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => 80
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => 80
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => 24
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => 8
([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 120
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 720
([(1,6),(5,3),(5,4),(6,2),(6,5)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7) => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => 120
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6] => 720
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 24
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 120
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(5,6)],7) => [3] => 6
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => 362880
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => 24
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 8
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => 24
([(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 24
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => 5040
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => 30
([(1,6),(5,4),(6,2),(6,3),(6,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,3),(2,6),(3,4),(3,5),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => ([(4,5),(4,6),(5,6)],7) => [3] => 6
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(2,6),(4,5),(5,3),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(4,5),(4,6),(5,6)],7) => [3] => 6
([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 30
([(1,6),(4,5),(5,3),(6,2),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => 80
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => 30
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [11] => 39916800
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => 360
([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => ([(4,6),(5,6)],7) => [2] => 2
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 720
([(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => 8
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 24
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => 24
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => 720
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => 8
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7) => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 362880
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => 1440
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => 360
([(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) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => 144
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => 40320
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7) => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7) => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => 30
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => 5760
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7) => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7) => ([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => ([(3,6),(4,5),(5,6)],7) => [3] => 6
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => 120
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => 720
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7) => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [12] => 479001600
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7) => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7) => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 40320
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => 362880
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 120
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [9] => 362880
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => 24
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => ([(4,6),(5,6)],7) => [2] => 2
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7) => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7) => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => 144
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => 8
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7) => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7) => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7) => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7) => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => 362880
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => 720
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7) => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [8] => 40320
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => 40320
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => 120
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => 362880
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => 5040
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => 5040
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => 3628800
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => 40320
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => 40320
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => 24
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => 720
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => 24
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => 120
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => 7560
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => 5040
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => 40320
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => 720
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7) => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => 40320
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => ([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => 362880
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => 24
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => 12
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 840
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => 30
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => ([(3,6),(4,5)],7) => [1,1] => 2
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => ([(3,6),(4,5),(5,6)],7) => [3] => 6
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => 720
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => 120
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8,1] => 45360
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7) => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => 362880
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 720
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => ([(2,3),(4,6),(5,6)],7) => [2,1] => 3
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 840
([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(1,5),(4,3),(5,6),(6,2),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => 720
([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6] => 720
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => ([(5,6)],7) => [1] => 1
([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [12] => 479001600
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(3,6),(4,6),(5,6)],7) => [3] => 6
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => 24
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => 24
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => 12
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7) => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => 720
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => 120
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => 24
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => 120
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => ([(4,6),(5,6)],7) => [2] => 2
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => 720
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => 720
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([],7) => [] => 1
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7) => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [12] => 479001600
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => 3628800
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => ([(4,6),(5,6)],7) => [2] => 2
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => 3628800
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [11] => 39916800
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => 120
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => 40320
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => ([(4,6),(5,6)],7) => [2] => 2
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => 24
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [12] => 479001600
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => 24
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [11] => 39916800
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => 5040
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => 24
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => 362880
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => 5040
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(5,6)],7) => [1] => 1
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7) => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => 362880
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => 720
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(3,6),(4,6),(5,6)],7) => [3] => 6
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => 40320
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => 120
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(5,6)],7) => [1] => 1
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => 362880
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(3,6),(4,6),(5,6)],7) => [3] => 6
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => 3628800
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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:
3,1,0,0,0,1
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 3\ q + q^{2} + q^{6}$
$F_{4} = 4\ q + 3\ q^{2} + 4\ q^{6} + 3\ q^{24} + q^{120} + q^{720}$
$F_{5} = 5\ q + 6\ q^{2} + 2\ q^{3} + 7\ q^{6} + 2\ q^{8} + 10\ q^{24} + 10\ q^{120} + 10\ q^{720} + 6\ q^{5040} + 3\ q^{40320} + q^{362880} + q^{3628800}$
Description
The product of the hook lengths of the integer partition.
Consider the Ferrers diagram associated with the integer partition. For each cell in the diagram, drawn using the English convention, consider its hook: the cell itself, all cells in the same row to the right and all cells in the same column below. The hook length of a cell is the number of cells in the hook of a cell. This statistic is the product of the hook lengths of all cells in the partition.
Let $H_\lambda$ denote this product, then the number of standard Young tableaux of shape $\lambda$, (traditionally denoted $f^\lambda$) equals $n! / H_\lambda$. Therefore, it is consistent to set the product of the hook lengths of the empty partition equal to $1$.
Consider the Ferrers diagram associated with the integer partition. For each cell in the diagram, drawn using the English convention, consider its hook: the cell itself, all cells in the same row to the right and all cells in the same column below. The hook length of a cell is the number of cells in the hook of a cell. This statistic is the product of the hook lengths of all cells in the partition.
Let $H_\lambda$ denote this product, then the number of standard Young tableaux of shape $\lambda$, (traditionally denoted $f^\lambda$) equals $n! / H_\lambda$. Therefore, it is consistent to set the product of the hook lengths of the empty partition equal to $1$.
Map
incomparability graph
Description
The incomparability graph of a poset.
Map
to edge-partition of connected components
Description
Sends a graph to the partition recording the number of edges in its connected components.
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