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-----------------------------------------------------------------------------
Statistic identifier: St000100
-----------------------------------------------------------------------------
Collection: Posets
-----------------------------------------------------------------------------
Description: The number of linear extensions of a poset.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(P):
return P.linear_extensions().cardinality()
-----------------------------------------------------------------------------
Statistic values:
([],2) => 2
([(0,1)],2) => 1
([],3) => 6
([(1,2)],3) => 3
([(0,1),(0,2)],3) => 2
([(0,2),(2,1)],3) => 1
([(0,2),(1,2)],3) => 2
([],4) => 24
([(2,3)],4) => 12
([(1,2),(1,3)],4) => 8
([(0,1),(0,2),(0,3)],4) => 6
([(0,2),(0,3),(3,1)],4) => 3
([(0,1),(0,2),(1,3),(2,3)],4) => 2
([(1,2),(2,3)],4) => 4
([(0,3),(3,1),(3,2)],4) => 2
([(1,3),(2,3)],4) => 8
([(0,3),(1,3),(3,2)],4) => 2
([(0,3),(1,3),(2,3)],4) => 6
([(0,3),(1,2)],4) => 6
([(0,3),(1,2),(1,3)],4) => 5
([(0,2),(0,3),(1,2),(1,3)],4) => 4
([(0,3),(2,1),(3,2)],4) => 1
([(0,3),(1,2),(2,3)],4) => 3
([],5) => 120
([(3,4)],5) => 60
([(2,3),(2,4)],5) => 40
([(1,2),(1,3),(1,4)],5) => 30
([(0,1),(0,2),(0,3),(0,4)],5) => 24
([(0,2),(0,3),(0,4),(4,1)],5) => 12
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 6
([(1,3),(1,4),(4,2)],5) => 15
([(0,3),(0,4),(4,1),(4,2)],5) => 8
([(1,2),(1,3),(2,4),(3,4)],5) => 10
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
([(0,3),(0,4),(3,2),(4,1)],5) => 6
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 5
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
([(2,3),(3,4)],5) => 20
([(1,4),(4,2),(4,3)],5) => 10
([(0,4),(4,1),(4,2),(4,3)],5) => 6
([(2,4),(3,4)],5) => 40
([(1,4),(2,4),(4,3)],5) => 10
([(0,4),(1,4),(4,2),(4,3)],5) => 4
([(1,4),(2,4),(3,4)],5) => 30
([(0,4),(1,4),(2,4),(4,3)],5) => 6
([(0,4),(1,4),(2,4),(3,4)],5) => 24
([(0,4),(1,4),(2,3)],5) => 20
([(0,4),(1,3),(2,3),(2,4)],5) => 16
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 14
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12
([(0,4),(1,4),(2,3),(4,2)],5) => 2
([(0,4),(1,3),(2,3),(3,4)],5) => 8
([(0,4),(1,4),(2,3),(2,4)],5) => 18
([(0,4),(1,4),(2,3),(3,4)],5) => 12
([(1,4),(2,3)],5) => 30
([(1,4),(2,3),(2,4)],5) => 25
([(0,4),(1,2),(1,4),(2,3)],5) => 9
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 5
([(1,3),(1,4),(2,3),(2,4)],5) => 20
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 4
([(0,4),(1,2),(1,4),(4,3)],5) => 7
([(0,4),(1,2),(1,3)],5) => 20
([(0,4),(1,2),(1,3),(1,4)],5) => 18
([(0,2),(0,4),(3,1),(4,3)],5) => 4
([(0,4),(1,2),(1,3),(3,4)],5) => 11
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 8
([(0,3),(0,4),(1,2),(1,4)],5) => 16
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 14
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 8
([(0,3),(1,2),(1,4),(3,4)],5) => 9
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 6
([(1,4),(3,2),(4,3)],5) => 5
([(0,3),(3,4),(4,1),(4,2)],5) => 2
([(1,4),(2,3),(3,4)],5) => 15
([(0,4),(1,2),(2,4),(4,3)],5) => 3
([(0,3),(1,4),(4,2)],5) => 10
([(0,4),(3,2),(4,1),(4,3)],5) => 3
([(0,4),(1,2),(2,3),(2,4)],5) => 7
([(0,4),(2,3),(3,1),(4,2)],5) => 1
([(0,3),(1,2),(2,4),(3,4)],5) => 6
([(0,4),(1,2),(2,3),(3,4)],5) => 4
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
([],6) => 720
([(4,5)],6) => 360
([(3,4),(3,5)],6) => 240
([(2,3),(2,4),(2,5)],6) => 180
([(1,2),(1,3),(1,4),(1,5)],6) => 144
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24
([(1,3),(1,4),(1,5),(5,2)],6) => 72
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 48
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 36
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 20
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 16
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 14
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 18
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 8
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 30
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 25
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
([(2,3),(2,4),(4,5)],6) => 90
([(1,4),(1,5),(5,2),(5,3)],6) => 48
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
([(2,3),(2,4),(3,5),(4,5)],6) => 60
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 12
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
([(1,4),(1,5),(4,3),(5,2)],6) => 36
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 7
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 20
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 18
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 16
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 14
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
([(3,4),(4,5)],6) => 120
([(2,3),(3,4),(3,5)],6) => 60
([(1,5),(5,2),(5,3),(5,4)],6) => 36
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
([(2,3),(3,5),(5,4)],6) => 30
([(1,4),(4,5),(5,2),(5,3)],6) => 12
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
([(3,5),(4,5)],6) => 240
([(2,5),(3,5),(5,4)],6) => 60
([(1,5),(2,5),(5,3),(5,4)],6) => 24
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
([(2,5),(3,5),(4,5)],6) => 180
([(1,5),(2,5),(3,5),(5,4)],6) => 36
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12
([(1,5),(2,5),(3,5),(4,5)],6) => 144
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 24
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 120
([(0,5),(1,5),(2,5),(3,4)],6) => 90
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 6
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 30
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 84
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 60
([(1,5),(2,5),(3,4)],6) => 120
([(1,5),(2,4),(3,4),(3,5)],6) => 96
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 26
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 16
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 84
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 24
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 14
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 72
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 20
([(1,5),(2,5),(3,4),(5,3)],6) => 12
([(1,5),(2,4),(3,4),(4,5)],6) => 48
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 8
([(0,5),(1,5),(2,3),(5,4)],6) => 30
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 18
([(1,5),(2,5),(3,4),(3,5)],6) => 108
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 24
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 38
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 18
([(0,5),(1,5),(2,3),(2,4)],6) => 80
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 28
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 76
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 19
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 6
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 52
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 15
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 40
([(1,5),(2,5),(3,4),(4,5)],6) => 72
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 12
([(0,5),(1,5),(2,3),(3,4)],6) => 40
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 20
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 14
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 32
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 20
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 10
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
([(0,5),(1,5),(2,4),(3,4)],6) => 80
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 70
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 64
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 60
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 54
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 10
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 40
([(2,5),(3,4)],6) => 180
([(2,5),(3,4),(3,5)],6) => 150
([(1,5),(2,3),(2,5),(3,4)],6) => 54
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 28
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 14
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 10
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 30
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 5
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 16
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 12
([(2,4),(2,5),(3,4),(3,5)],6) => 120
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 24
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 12
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 10
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 60
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 28
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 20
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 52
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 22
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 48
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 32
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24
([(1,5),(2,3),(2,5),(5,4)],6) => 42
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 18
([(1,5),(2,3),(2,4)],6) => 120
([(1,5),(2,3),(2,4),(2,5)],6) => 108
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 42
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 23
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 28
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 18
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 32
([(0,5),(1,2),(1,3),(1,4)],6) => 90
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 84
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 52
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 38
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 12
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 30
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 38
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 24
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
([(1,3),(1,5),(4,2),(5,4)],6) => 24
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 10
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 9
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 5
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 9
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 8
([(1,5),(2,3),(2,4),(4,5)],6) => 66
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 14
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 18
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 3
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 48
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 8
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 26
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 21
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 18
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 11
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 11
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 23
([(0,4),(1,3),(1,5),(5,2)],6) => 45
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 33
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 26
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 30
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 20
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 10
([(1,4),(1,5),(2,3),(2,5)],6) => 96
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 84
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 27
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 18
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 32
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 19
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 14
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 30
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 48
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 15
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 11
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 8
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 35
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 21
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 24
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 13
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 22
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 16
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 13
([(0,4),(0,5),(1,2),(1,3)],6) => 80
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 70
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 64
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 37
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 26
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 60
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 54
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 30
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 33
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 22
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 40
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 28
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 28
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 22
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 19
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 18
([(1,4),(2,3),(2,5),(4,5)],6) => 54
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 12
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 19
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 9
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 15
([(0,5),(1,3),(1,4),(5,2)],6) => 40
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 26
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 20
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 11
([(2,5),(3,4),(4,5)],6) => 90
([(1,5),(2,3),(3,5),(5,4)],6) => 18
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
([(1,3),(2,4),(4,5)],6) => 60
([(1,5),(4,3),(5,2),(5,4)],6) => 18
([(1,5),(2,3),(3,4),(3,5)],6) => 42
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 10
([(0,4),(1,5),(5,2),(5,3)],6) => 30
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 24
([(1,5),(3,4),(4,2),(5,3)],6) => 6
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
([(1,4),(2,3),(3,5),(4,5)],6) => 36
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 6
([(0,5),(1,4),(4,2),(5,3)],6) => 20
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 16
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 12
([(1,5),(2,3),(3,4),(4,5)],6) => 24
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 12
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 4
([(0,5),(1,4),(2,3)],6) => 90
([(0,5),(1,3),(2,4),(2,5)],6) => 75
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 66
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 14
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 9
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 40
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 7
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 25
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 9
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 33
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 61
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 52
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 48
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 48
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 44
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 40
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 24
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 57
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 37
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 66
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 33
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 35
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 27
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 14
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 5
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 42
([(0,5),(1,3),(4,2),(5,4)],6) => 15
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 6
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 12
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 7
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 9
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
([(0,5),(1,3),(2,4),(4,5)],6) => 45
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 30
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 3
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 15
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 5
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 10
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 30
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 180
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 120
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 90
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 90
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 80
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 120
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 720
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 24
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 144
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 360
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 60
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 6
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 30
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 90
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 30
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 120
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 36
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 180
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 60
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 240
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 55
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 20
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 5
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 20
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 40
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 10
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 40
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 80
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 8
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 48
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 272
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 12
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 72
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 180
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 12
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 30
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 120
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 18
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 90
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 60
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => 14
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 30
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 40
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => 71
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 45
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => 35
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => 21
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => 90
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => 111
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => 99
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => 132
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 15
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => 14
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => 34
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 10
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 78
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 155
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => 169
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 181
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => 78
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => 20
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => 111
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 64
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 36
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 20
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => 50
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => 50
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 132
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => 64
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => 181
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => 272
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => 155
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => 20
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => 90
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => 34
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => 99
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 20
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => 29
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => 55
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 30
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 30
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 6
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 10
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 3
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 15
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 45
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 60
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 15
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 90
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 6
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 36
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 4
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 24
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 6
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 20
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 14
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
([(4,6),(4,7),(5,6),(5,7)],8) => 6720
([],8) => 40320
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 24
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => 40
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => 36
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => 24
([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) => 70
([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) => 68
([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) => 60
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => 40
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => 36
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => 54
([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) => 60
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => 36
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => 24
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 120
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 280
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 672
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 420
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 360
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 160
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 120
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 160
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1680
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 3360
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 2016
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 504
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 480
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 200
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 148
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 120
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 280
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 392
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 1128
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 1272
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 1680
([(4,7),(5,6)],8) => 10080
([(0,7),(1,6),(2,5),(3,4)],8) => 2520
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 1750
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 630
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 588
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 420
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 360
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 160
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 200
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 272
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 280
([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 630
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 2520
([(2,7),(3,7),(4,6),(5,6)],8) => 4480
([(2,5),(3,4),(4,6),(5,7)],8) => 1120
([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 280
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 240
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 256
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 588
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 1008
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 672
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 392
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 192
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 180
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 144
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 144
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 648
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 768
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 1128
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 3360
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 1272
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 896
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 768
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 192
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 180
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 120
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 160
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 240
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 256
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 280
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 1120
([(2,6),(2,7),(3,4),(3,5)],8) => 4480
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 504
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 480
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 1680
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 2016
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 2520
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => 20
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => 21
([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => 28
([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => 64
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => 35
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 70
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 56
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => 90
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) => 42
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => 384
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => 640
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => 896
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9) => 42
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 42
([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9) => 42
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9) => 27
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9) => 28
([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9) => 48
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9) => 105
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9) => 56
([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) => 42
([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => 162
([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => 120
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9) => 189
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9) => 70
([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 84
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => 168
([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => 216
([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => 768
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 42
([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10) => 768
([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10) => 35
([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10) => 36
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10) => 75
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10) => 160
([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10) => 84
([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10) => 90
([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10) => 315
([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10) => 225
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10) => 350
([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10) => 126
([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10) => 288
([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10) => 450
([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 567
([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 525
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10) => 448
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) => 252
([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10) => 300
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) => 210
([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => 3840
([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => 6400
([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11) => 8960
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11) => 11520
([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11) => 19200
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11) => 16128
([(0,10),(1,9),(2,8),(3,8),(3,9),(3,10),(5,11),(6,11),(7,11),(8,5),(8,6),(9,5),(9,7),(10,6),(10,7),(11,4)],12) => 2400
([(0,7),(1,9),(1,10),(2,8),(2,10),(3,8),(3,9),(7,1),(7,2),(7,3),(8,6),(8,11),(9,4),(9,11),(10,5),(10,11)],12) => 2400
([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => 46080
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) => 76800
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13) => 107520
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13) => 138240
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13) => 230400
([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13) => 193536
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) => 168960
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13) => 281600
([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13) => 394240
([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13) => 304128
([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13) => 506880
([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15) => 292864
([(0,7),(0,8),(3,5),(3,12),(4,6),(4,13),(5,2),(5,10),(6,1),(6,11),(7,3),(7,9),(8,4),(8,9),(9,12),(9,13),(12,10),(12,14),(13,11),(13,14)],15) => 292864
([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16) => 24024
([(0,9),(3,15),(4,14),(5,6),(5,14),(6,7),(6,10),(7,8),(7,13),(8,2),(8,11),(9,4),(9,5),(10,13),(10,15),(13,11),(13,12),(14,3),(14,10),(15,1),(15,12)],16) => 24024
([(0,13),(1,16),(2,15),(3,13),(3,17),(4,15),(4,16),(4,17),(6,10),(7,19),(8,19),(9,18),(10,5),(11,7),(11,18),(12,8),(12,18),(13,14),(14,7),(14,8),(15,9),(15,11),(16,9),(16,12),(17,11),(17,12),(17,14),(18,6),(18,19),(19,10)],20) => 14082624
([(0,10),(1,15),(2,16),(2,17),(6,11),(6,13),(7,12),(7,13),(8,5),(8,14),(9,6),(9,7),(9,15),(10,1),(10,9),(11,16),(11,19),(12,17),(12,19),(13,8),(13,19),(15,2),(15,11),(15,12),(16,4),(16,18),(17,3),(17,18),(19,14),(19,18)],20) => 14082624
([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,13),(4,18),(5,14),(5,19),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,17),(16,10),(16,17),(17,11),(17,12),(18,7),(18,15),(19,8),(19,16),(20,15),(20,16)],21) => 1100742656
([(0,9),(0,10),(3,7),(3,14),(4,8),(4,15),(5,3),(5,16),(6,4),(6,17),(7,2),(7,12),(8,1),(8,13),(9,5),(9,11),(10,6),(10,11),(11,16),(11,17),(14,12),(14,19),(15,13),(15,20),(16,14),(16,18),(17,15),(17,18),(18,19),(18,20)],21) => 1100742656
([(0,18),(1,19),(2,18),(2,22),(3,19),(3,22),(4,6),(6,5),(7,11),(8,16),(9,17),(10,13),(10,14),(11,4),(12,23),(13,8),(13,23),(14,9),(14,23),(15,11),(16,15),(17,7),(17,15),(18,20),(19,21),(20,12),(20,13),(21,12),(21,14),(22,10),(22,20),(22,21),(23,16),(23,17)],24) => 2311020
([(0,12),(1,18),(1,19),(4,21),(5,15),(6,14),(7,13),(8,9),(8,21),(9,6),(9,22),(10,2),(10,16),(11,3),(11,17),(12,7),(13,4),(13,8),(14,18),(14,20),(15,19),(15,20),(18,10),(18,23),(19,11),(19,23),(20,23),(21,5),(21,22),(22,1),(22,14),(22,15),(23,16),(23,17)],24) => 2311020
([(0,18),(1,17),(2,18),(2,24),(3,23),(3,24),(4,17),(4,23),(6,15),(7,16),(8,9),(9,5),(10,12),(11,13),(12,11),(13,14),(14,9),(15,7),(15,21),(16,8),(16,14),(17,10),(18,6),(18,19),(19,15),(19,22),(20,12),(20,22),(21,13),(21,16),(22,11),(22,21),(23,10),(23,20),(24,19),(24,20)],25) => 701149020
([(0,12),(2,13),(4,15),(5,16),(6,10),(6,13),(7,8),(7,18),(8,11),(8,19),(9,7),(9,17),(10,9),(10,20),(11,1),(11,14),(12,2),(12,6),(13,5),(13,20),(15,3),(15,22),(16,4),(16,24),(17,18),(17,24),(18,19),(18,21),(19,14),(19,23),(20,16),(20,17),(21,22),(21,23),(24,15),(24,21)],25) => 701149020
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Created: Jun 13, 2013 at 20:34 by Christian Stump
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Last Updated: Sep 25, 2020 at 00:11 by Martin Rubey