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Statistic identifier: St000848
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Collection: Posets
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Description: The balance constant multiplied with the number of linear extensions of a poset.
A pair of elements $x,y$ of a poset is $\alpha$-balanced if the proportion $P(x,y)$ of linear extensions where $x$ comes before $y$ is between $\alpha$ and $1-\alpha$. The balance constant of a poset is $\max\min(P(x,y), P(y,x)).$
Kislitsyn [1] conjectured that every poset which is not a chain is $1/3$-balanced. Brightwell, Felsner and Trotter [2] show that it is at least $(1-\sqrt 5)/10$-balanced.
Olson and Sagan [3] exhibit various posets that are $1/2$-balanced.
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References: [1] Kislicyn, S. S. Finite partially ordered sets and their corresponding permutation sets [[MathSciNet:0244113]]
[2] Brightwell, G. R., Felsner, S., Trotter, W. T. Balancing pairs and the cross product conjecture [[MathSciNet:1368815]]
[3] Olson, E. J., Sagan, B. E. On the $1/3-2/3$ Conjecture [[arXiv:1706.04985]]
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Code:
def statistic(P):
l_ext = P.linear_extensions().list()
max_balance = 0
for x,y in Subsets(P,2):
l = [ext for ext in l_ext
if ext.index(x) < ext.index(y)]
new_balance = min(len(l), len(l_ext)-len(l))
max_balance = max(new_balance, max_balance)
return max_balance
-----------------------------------------------------------------------------
Statistic values:
([],2) => 1
([(0,1)],2) => 0
([],3) => 3
([(1,2)],3) => 1
([(0,1),(0,2)],3) => 1
([(0,2),(2,1)],3) => 0
([(0,2),(1,2)],3) => 1
([],4) => 12
([(2,3)],4) => 6
([(1,2),(1,3)],4) => 4
([(0,1),(0,2),(0,3)],4) => 3
([(0,2),(0,3),(3,1)],4) => 1
([(0,1),(0,2),(1,3),(2,3)],4) => 1
([(1,2),(2,3)],4) => 2
([(0,3),(3,1),(3,2)],4) => 1
([(1,3),(2,3)],4) => 4
([(0,3),(1,3),(3,2)],4) => 1
([(0,3),(1,3),(2,3)],4) => 3
([(0,3),(1,2)],4) => 3
([(0,3),(1,2),(1,3)],4) => 2
([(0,2),(0,3),(1,2),(1,3)],4) => 2
([(0,3),(2,1),(3,2)],4) => 0
([(0,3),(1,2),(2,3)],4) => 1
([],5) => 60
([(3,4)],5) => 30
([(2,3),(2,4)],5) => 20
([(1,2),(1,3),(1,4)],5) => 15
([(0,1),(0,2),(0,3),(0,4)],5) => 12
([(0,2),(0,3),(0,4),(4,1)],5) => 6
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 4
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3
([(1,3),(1,4),(4,2)],5) => 7
([(0,3),(0,4),(4,1),(4,2)],5) => 4
([(1,2),(1,3),(2,4),(3,4)],5) => 5
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
([(0,3),(0,4),(3,2),(4,1)],5) => 3
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
([(2,3),(3,4)],5) => 10
([(1,4),(4,2),(4,3)],5) => 5
([(0,4),(4,1),(4,2),(4,3)],5) => 3
([(2,4),(3,4)],5) => 20
([(1,4),(2,4),(4,3)],5) => 5
([(0,4),(1,4),(4,2),(4,3)],5) => 2
([(1,4),(2,4),(3,4)],5) => 15
([(0,4),(1,4),(2,4),(4,3)],5) => 3
([(0,4),(1,4),(2,4),(3,4)],5) => 12
([(0,4),(1,4),(2,3)],5) => 10
([(0,4),(1,3),(2,3),(2,4)],5) => 8
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 7
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 6
([(0,4),(1,4),(2,3),(4,2)],5) => 1
([(0,4),(1,3),(2,3),(3,4)],5) => 4
([(0,4),(1,4),(2,3),(2,4)],5) => 9
([(0,4),(1,4),(2,3),(3,4)],5) => 6
([(1,4),(2,3)],5) => 15
([(1,4),(2,3),(2,4)],5) => 10
([(0,4),(1,2),(1,4),(2,3)],5) => 4
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2
([(1,3),(1,4),(2,3),(2,4)],5) => 10
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2
([(0,4),(1,2),(1,4),(4,3)],5) => 3
([(0,4),(1,2),(1,3)],5) => 10
([(0,4),(1,2),(1,3),(1,4)],5) => 9
([(0,2),(0,4),(3,1),(4,3)],5) => 2
([(0,4),(1,2),(1,3),(3,4)],5) => 4
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
([(0,3),(0,4),(1,2),(1,4)],5) => 8
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 7
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 6
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 3
([(0,3),(1,2),(1,4),(3,4)],5) => 4
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3
([(1,4),(3,2),(4,3)],5) => 2
([(0,3),(3,4),(4,1),(4,2)],5) => 1
([(1,4),(2,3),(3,4)],5) => 7
([(0,4),(1,2),(2,4),(4,3)],5) => 1
([(0,3),(1,4),(4,2)],5) => 4
([(0,4),(3,2),(4,1),(4,3)],5) => 1
([(0,4),(1,2),(2,3),(2,4)],5) => 3
([(0,4),(2,3),(3,1),(4,2)],5) => 0
([(0,3),(1,2),(2,4),(3,4)],5) => 3
([(0,4),(1,2),(2,3),(3,4)],5) => 2
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
([],6) => 360
([(4,5)],6) => 180
([(3,4),(3,5)],6) => 120
([(2,3),(2,4),(2,5)],6) => 90
([(1,2),(1,3),(1,4),(1,5)],6) => 72
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 60
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 30
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 20
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 15
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 12
([(1,3),(1,4),(1,5),(5,2)],6) => 36
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 20
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 24
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 18
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 10
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 7
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 9
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 5
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 15
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 10
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 10
([(2,3),(2,4),(4,5)],6) => 45
([(1,4),(1,5),(5,2),(5,3)],6) => 24
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 15
([(2,3),(2,4),(3,5),(4,5)],6) => 30
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
([(1,4),(1,5),(4,3),(5,2)],6) => 18
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 14
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 12
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 3
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 3
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 10
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 9
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 8
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 7
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 6
([(3,4),(4,5)],6) => 60
([(2,3),(3,4),(3,5)],6) => 30
([(1,5),(5,2),(5,3),(5,4)],6) => 18
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 12
([(2,3),(3,5),(5,4)],6) => 15
([(1,4),(4,5),(5,2),(5,3)],6) => 6
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3
([(3,5),(4,5)],6) => 120
([(2,5),(3,5),(5,4)],6) => 30
([(1,5),(2,5),(5,3),(5,4)],6) => 12
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 6
([(2,5),(3,5),(4,5)],6) => 90
([(1,5),(2,5),(3,5),(5,4)],6) => 18
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 6
([(1,5),(2,5),(3,5),(4,5)],6) => 72
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 12
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 60
([(0,5),(1,5),(2,5),(3,4)],6) => 45
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 15
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 42
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 30
([(1,5),(2,5),(3,4)],6) => 60
([(1,5),(2,4),(3,4),(3,5)],6) => 48
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 12
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 8
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 42
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 12
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 7
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 36
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 9
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 10
([(1,5),(2,5),(3,4),(5,3)],6) => 6
([(1,5),(2,4),(3,4),(4,5)],6) => 24
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 4
([(0,5),(1,5),(2,3),(5,4)],6) => 15
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 3
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 9
([(1,5),(2,5),(3,4),(3,5)],6) => 54
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 12
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 19
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 9
([(0,5),(1,5),(2,3),(2,4)],6) => 40
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 14
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 8
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 38
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 9
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 5
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 3
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 26
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 20
([(1,5),(2,5),(3,4),(4,5)],6) => 36
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 6
([(0,5),(1,5),(2,3),(3,4)],6) => 20
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 10
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 6
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 16
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 10
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 5
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
([(0,5),(1,5),(2,4),(3,4)],6) => 40
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 35
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 32
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 30
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 27
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 24
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 5
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 20
([(2,5),(3,4)],6) => 90
([(2,5),(3,4),(3,5)],6) => 75
([(1,5),(2,3),(2,5),(3,4)],6) => 26
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 14
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 5
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 5
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 14
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 2
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 6
([(2,4),(2,5),(3,4),(3,5)],6) => 60
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 8
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 12
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 6
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 5
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 14
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 26
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 11
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 15
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 16
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 12
([(1,5),(2,3),(2,5),(5,4)],6) => 18
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 9
([(1,5),(2,3),(2,4)],6) => 60
([(1,5),(2,3),(2,4),(2,5)],6) => 54
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 19
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 11
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 14
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 9
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 16
([(0,5),(1,2),(1,3),(1,4)],6) => 45
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 42
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 10
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 26
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 7
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 19
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 6
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 15
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 19
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 12
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
([(1,3),(1,5),(4,2),(5,4)],6) => 12
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 5
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 4
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 4
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 4
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 3
([(1,5),(2,3),(2,4),(4,5)],6) => 33
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 6
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 9
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 1
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 24
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 12
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 10
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 4
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 4
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 11
([(0,4),(1,3),(1,5),(5,2)],6) => 19
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 7
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 15
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 12
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 15
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 10
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 5
([(1,4),(1,5),(2,3),(2,5)],6) => 48
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 42
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 12
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 9
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 12
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 8
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 16
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 8
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 7
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 15
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 24
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 7
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 5
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 3
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 16
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 10
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 11
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 5
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 11
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 8
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 5
([(0,4),(0,5),(1,2),(1,3)],6) => 40
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 35
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 32
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 15
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 13
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 30
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 27
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 24
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 15
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 15
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 11
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 18
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 14
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 3
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 14
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 11
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 8
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 8
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 9
([(1,4),(2,3),(2,5),(4,5)],6) => 26
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 6
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 18
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 3
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 9
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 4
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 7
([(0,5),(1,3),(1,4),(5,2)],6) => 20
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 12
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 10
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 5
([(2,5),(3,4),(4,5)],6) => 45
([(1,5),(2,3),(3,5),(5,4)],6) => 8
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 3
([(1,3),(2,4),(4,5)],6) => 30
([(1,5),(4,3),(5,2),(5,4)],6) => 8
([(1,5),(2,3),(3,4),(3,5)],6) => 18
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 4
([(0,4),(1,5),(5,2),(5,3)],6) => 15
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 6
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 12
([(1,5),(3,4),(4,2),(5,3)],6) => 3
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1
([(1,4),(2,3),(3,5),(4,5)],6) => 18
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 3
([(0,5),(1,4),(4,2),(5,3)],6) => 10
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(1,5),(2,3),(3,4),(4,5)],6) => 12
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
([(0,5),(1,4),(2,3)],6) => 45
([(0,5),(1,3),(2,4),(2,5)],6) => 35
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 33
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 6
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 4
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 18
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 3
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 10
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 4
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 15
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 28
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 26
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 24
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 22
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 20
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 11
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 15
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 33
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 15
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 16
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 12
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 6
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 19
([(0,5),(1,3),(4,2),(5,4)],6) => 6
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 3
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 6
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 3
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 1
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 4
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
([(0,5),(1,3),(2,4),(4,5)],6) => 19
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 15
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 7
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 4
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 15
([],7) => 2520
([(5,6)],7) => 1260
([(4,5),(4,6)],7) => 840
([(3,4),(3,5),(3,6)],7) => 630
([(2,3),(2,4),(2,5),(2,6)],7) => 504
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 420
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 360
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 180
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 120
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 90
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 72
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 60
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 210
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 120
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 140
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 105
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 84
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 12
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 45
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 42
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 15
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 18
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 60
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 48
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 36
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 54
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 40
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 35
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 32
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 30
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 27
([(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) => 24
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 20
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 24
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 30
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 90
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 75
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 60
([(2,4),(2,5),(2,6),(6,3)],7) => 252
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 140
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 90
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 168
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 126
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 21
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 6
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 70
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 56
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 49
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 9
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 6
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 12
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 7
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 12
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 63
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 12
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 40
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 38
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 14
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 28
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 15
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 9
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 35
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 12
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 105
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 79
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 70
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 30
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 26
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 11
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 14
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 18
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 18
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 60
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 54
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 48
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 42
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 36
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 45
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 35
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 33
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 28
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 26
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 22
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 20
([(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) => 18
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 24
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 11
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 33
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 15
([(3,4),(3,5),(5,6)],7) => 315
([(2,5),(2,6),(6,3),(6,4)],7) => 168
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 105
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 72
([(3,4),(3,5),(4,6),(5,6)],7) => 210
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 42
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 14
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 6
([(2,5),(2,6),(5,4),(6,3)],7) => 126
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 105
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 84
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 21
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 8
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 14
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 6
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 5
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 21
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 9
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 70
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 63
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 16
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 45
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 42
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 56
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 49
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 42
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 12
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 8
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 12
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 9
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 15
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 40
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 35
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 32
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 30
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 27
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 24
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 63
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 10
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3
([(4,5),(5,6)],7) => 420
([(3,4),(4,5),(4,6)],7) => 210
([(2,6),(6,3),(6,4),(6,5)],7) => 126
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 84
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 60
([(3,4),(4,6),(6,5)],7) => 105
([(2,5),(5,6),(6,3),(6,4)],7) => 42
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 21
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 12
([(4,6),(5,6)],7) => 840
([(3,6),(4,6),(6,5)],7) => 210
([(2,6),(3,6),(6,4),(6,5)],7) => 84
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 42
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 24
([(3,6),(4,6),(5,6)],7) => 630
([(2,6),(3,6),(4,6),(6,5)],7) => 126
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 42
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 18
([(2,6),(3,6),(4,6),(5,6)],7) => 504
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 84
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 24
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 420
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 60
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 360
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 252
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 12
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 72
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 240
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 180
([(1,6),(2,6),(3,6),(4,5)],7) => 315
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 21
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 105
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 63
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 33
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 294
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 54
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 102
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 42
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 210
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 6
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 60
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 204
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 150
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 120
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 210
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 30
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 105
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 15
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 45
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 90
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 15
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 6
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 60
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 210
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 180
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 162
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 150
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 144
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 132
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 120
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 18
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 6
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 90
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 192
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 180
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 30
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 12
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 6
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 120
([(2,6),(3,6),(4,5)],7) => 420
([(2,6),(3,5),(4,5),(4,6)],7) => 336
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 84
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 38
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 56
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 8
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 26
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 19
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 16
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 294
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 84
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 36
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 19
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 14
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 49
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 22
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 17
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 252
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 63
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 24
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 18
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 15
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 126
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 51
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 9
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 36
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 114
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 108
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 72
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 75
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 60
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 70
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 26
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 147
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 18
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 7
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 12
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 66
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 10
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 13
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 57
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 129
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 45
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 123
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 84
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 134
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 56
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 78
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 81
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 66
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 90
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 168
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 144
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 18
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 66
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 12
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 48
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 144
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 118
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 102
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 101
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 112
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 56
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 138
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 84
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 90
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 72
([(2,6),(3,6),(4,5),(6,4)],7) => 42
([(2,6),(3,5),(4,5),(5,6)],7) => 168
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 28
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 8
([(1,6),(2,6),(3,4),(6,5)],7) => 105
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 21
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 63
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 13
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 42
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 12
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 30
([(2,6),(3,6),(4,5),(4,6)],7) => 378
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 84
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 30
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 133
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 63
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 31
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 21
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 68
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 28
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 18
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 34
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 9
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 19
([(1,6),(2,6),(3,4),(3,5)],7) => 280
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 14
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 98
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 56
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 12
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 18
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 70
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 8
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 38
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 26
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 266
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 62
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 102
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 47
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 68
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 38
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 210
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 6
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 68
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 36
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 204
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 55
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 30
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 18
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 142
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 39
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 15
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 110
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 36
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 20
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 90
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 182
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 32
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 140
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 20
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 105
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 34
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 24
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 14
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 8
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 50
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 40
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 24
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 87
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 26
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 9
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 25
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 14
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 13
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 22
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 12
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 11
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 8
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 15
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 14
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 9
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 22
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 14
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 71
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 26
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 26
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 19
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 65
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 45
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 24
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 15
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 70
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 40
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 56
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 50
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 30
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 55
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 29
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 18
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 18
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 10
([(2,6),(3,6),(4,5),(5,6)],7) => 252
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 42
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 12
([(1,6),(2,6),(3,4),(4,5)],7) => 140
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 7
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 70
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 10
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 35
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 25
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 112
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 22
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 31
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 16
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 70
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 30
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 20
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 32
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 20
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 62
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 40
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 23
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 15
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 30
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 18
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 12
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 17
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 7
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 70
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 10
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 35
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 20
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 8
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 4
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 25
([(1,6),(2,6),(3,5),(4,5)],7) => 280
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 245
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 65
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 35
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 224
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 62
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 32
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 44
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 210
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 48
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 30
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 189
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 45
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 27
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 39
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 168
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 36
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 24
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 53
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 35
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 14
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 140
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 20
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 70
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 17
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 8
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 50
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 40
([(0,6),(1,6),(2,5),(3,4)],7) => 210
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 21
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 15
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 84
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 48
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 4
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 24
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 189
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 15
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 69
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 99
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 12
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 54
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 174
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 87
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 155
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 50
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 149
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 105
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 120
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 90
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 75
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 175
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 136
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 120
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 114
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 17
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 63
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 11
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 64
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 44
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 20
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 5
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 14
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 80
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 164
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 111
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 18
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 9
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 75
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 140
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 117
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 106
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 90
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 55
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 104
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 52
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 100
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 94
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 88
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 90
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 84
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 78
([(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) => 72
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 62
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 17
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 4
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 60
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 40
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 130
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 124
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 23
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 10
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 80
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 18
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 8
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 60
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 23
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 11
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 95
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 126
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 36
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 90
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 105
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 6
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 15
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 9
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 60
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 81
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 8
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 45
([(3,6),(4,5)],7) => 630
([(3,6),(4,5),(4,6)],7) => 525
([(2,6),(3,4),(3,6),(4,5)],7) => 189
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 98
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 60
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 28
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 19
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 15
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 42
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 35
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 9
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 30
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 19
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 17
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 105
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 17
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 5
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 52
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 42
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 25
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 21
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 42
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 28
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 4
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 14
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 8
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 9
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 20
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 10
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 9
([(3,5),(3,6),(4,5),(4,6)],7) => 420
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 126
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 56
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 30
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 84
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 14
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 42
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 35
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 28
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 20
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 18
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 16
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 12
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 210
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 182
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 54
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 38
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 32
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 26
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 168
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 54
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 36
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 24
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 31
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 44
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 52
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 28
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 9
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 98
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 21
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 70
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 10
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 32
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 28
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 18
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 63
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 15
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 11
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 41
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 26
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 22
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 182
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 48
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 77
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 21
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 15
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 53
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 33
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 32
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 18
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 168
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 45
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 62
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 33
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 24
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 105
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 27
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 15
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 65
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 35
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 36
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 26
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 50
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 29
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 140
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 58
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 36
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 40
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 28
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 24
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 130
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 51
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 124
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 79
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 58
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 23
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 12
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 82
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 64
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 15
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 8
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 16
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 60
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 52
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 46
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 40
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 112
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 31
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 16
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 84
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 70
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 40
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 30
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 18
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 52
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 26
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 44
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 26
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 30
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 10
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 20
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 10
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 6
([(2,6),(3,4),(3,6),(6,5)],7) => 147
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 63
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 33
([(2,6),(3,4),(3,5)],7) => 420
([(2,6),(3,4),(3,5),(3,6)],7) => 378
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 134
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 80
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 37
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 28
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 79
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 11
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 40
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 33
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 98
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 63
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 9
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 30
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 25
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 20
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 14
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 60
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 49
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 23
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 19
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 23
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 40
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 23
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 28
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 23
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 112
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 50
([(1,6),(2,3),(2,4),(2,5)],7) => 315
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 294
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 120
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 65
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 80
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 51
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 60
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 42
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 90
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 252
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 240
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 60
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 150
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 45
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 110
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 36
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 87
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 30
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 72
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 102
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 62
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 45
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 36
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 70
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 30
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 182
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 40
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 51
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 8
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 133
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 23
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 42
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 6
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 105
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 15
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 55
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 19
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 26
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 51
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 69
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 26
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 33
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 66
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 19
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Created: Jun 16, 2017 at 06:35 by Martin Rubey
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Last Updated: Jul 17, 2017 at 07:29 by Martin Rubey