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Statistic identifier: St001779

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Collection: Posets

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Description: The order of promotion on the set of linear extensions of a poset.

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References: [1]   Stanley, R. P. Promotion and evacuation [[MathSciNet:2515772]]

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Code:
def statistic(P):
    from sage.combinat.cyclic_sieving_phenomenon import orbit_decomposition
    return lcm(len(o) for o in orbit_decomposition(P.linear_extensions(), lambda T: T.promotion()))

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Statistic values:

([],1)                                                                        => 1
([],2)                                                                        => 2
([(0,1)],2)                                                                   => 1
([],3)                                                                        => 3
([(1,2)],3)                                                                   => 3
([(0,1),(0,2)],3)                                                             => 2
([(0,2),(2,1)],3)                                                             => 1
([(0,2),(1,2)],3)                                                             => 2
([],4)                                                                        => 4
([(2,3)],4)                                                                   => 4
([(1,2),(1,3)],4)                                                             => 8
([(0,1),(0,2),(0,3)],4)                                                       => 3
([(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)                                                       => 3
([(0,3),(1,2)],4)                                                             => 4
([(0,3),(1,2),(1,3)],4)                                                       => 6
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 2
([(0,3),(2,1),(3,2)],4)                                                       => 1
([(0,3),(1,2),(2,3)],4)                                                       => 3
([],5)                                                                        => 5
([(3,4)],5)                                                                   => 5
([(2,3),(2,4)],5)                                                             => 10
([(1,2),(1,3),(1,4)],5)                                                       => 15
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 4
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => 4
([(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)                                     => 3
([(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)                                                 => 5
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 2
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 4
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => 6
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => 2
([(2,3),(3,4)],5)                                                             => 5
([(1,4),(4,2),(4,3)],5)                                                       => 5
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => 3
([(2,4),(3,4)],5)                                                             => 10
([(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)                                                 => 4
([(0,4),(1,4),(2,3)],5)                                                       => 10
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 12
([(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)                                     => 6
([(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)                                                 => 20
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => 4
([(1,4),(2,3)],5)                                                             => 5
([(1,4),(2,3),(2,4)],5)                                                       => 15
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => 20
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => 6
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => 5
([(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)                                     => 2
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 7
([(0,4),(1,2),(1,3)],5)                                                       => 10
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => 20
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 4
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 12
([(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)                                                 => 12
([(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)                                     => 6
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => 15
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 20
([(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)                                                       => 5
([(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)                                                 => 4
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => 4
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 2
([],6)                                                                        => 6
([(4,5)],6)                                                                   => 6
([(3,4),(3,5)],6)                                                             => 12
([(2,3),(2,4),(2,5)],6)                                                       => 18
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => 24
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => 5
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 5
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => 10
([(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)                         => 4
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => 24
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 10
([(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)                                     => 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)                               => 12
([(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)                   => 6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => 20
([(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)                                     => 5
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => 5
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => 15
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 5
([(2,3),(2,4),(4,5)],6)                                                       => 18
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 48
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 15
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 6
([(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)                                     => 2
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => 24
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 36
([(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)                               => 6
([(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)                                     => 7
([(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)                                     => 20
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 12
([(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)                         => 6
([(3,4),(4,5)],6)                                                             => 6
([(2,3),(3,4),(3,5)],6)                                                       => 6
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 18
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 4
([(2,3),(3,5),(5,4)],6)                                                       => 6
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => 12
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => 3
([(3,5),(4,5)],6)                                                             => 12
([(2,5),(3,5),(5,4)],6)                                                       => 6
([(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)                                                       => 18
([(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)                                                 => 24
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => 4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => 5
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 18
([(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)                                           => 90
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => 5
([(1,5),(2,5),(3,4)],6)                                                       => 12
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => 72
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 42
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 12
([(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)                                     => 18
([(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)                                     => 36
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 3
([(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)                                     => 24
([(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)                                                 => 6
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 6
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 40
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => 24
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 18
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 60
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 20
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => 12
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 30
([(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)                                           => 60
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 20
([(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)                                     => 4
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 110
([(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)                                     => 10
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 24
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => 4
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 12
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => 2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => 10
([(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)                                           => 28
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => 5
([(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)                                                 => 12
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 260
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 28
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 56
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 60
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 4
([(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)                                           => 10
([(2,5),(3,4)],6)                                                             => 6
([(2,5),(3,4),(3,5)],6)                                                       => 18
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => 24
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => 30
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => 8
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => 6
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 36
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 6
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 14
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => 10
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 6
([(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)                                     => 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)                                     => 4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => 6
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 2
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => 6
([(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)                               => 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)                               => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => 42
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => 24
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 18
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 52
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 28
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 4
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => 42
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => 40
([(1,5),(2,3),(2,4)],6)                                                       => 12
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 24
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => 90
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 90
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 30
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 20
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => 28
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 18
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 90
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => 5
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => 110
([(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)                                     => 20
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 4
([(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)                                           => 60
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => 18
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 3
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => 24
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => 5
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 5
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => 20
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => 6
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => 20
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => 15
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => 72
([(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)                                           => 55
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => 195
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 40
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 12
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => 12
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => 90
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => 18
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => 15
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => 116
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 55
([(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)                                           => 6
([(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)                                     => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 5
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 72
([(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)                                     => 60
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => 40
([(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)                               => 4
([(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)                                     => 28
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 48
([(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)                                           => 56
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => 18
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 26
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 24
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 15
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => 260
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => 195
([(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)                               => 24
([(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)                               => 12
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 12
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 12
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 260
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 28
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => 252
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 12
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => 56
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => 60
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 4
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => 52
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => 116
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => 24
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => 315
([(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)                                     => 30
([(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)                               => 48
([(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)                                     => 12
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => 24
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 9
([(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)                                     => 3
([(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)                                           => 30
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 20
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 26
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => 12
([(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)                                           => 42
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => 24
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 24
([(2,5),(3,4),(4,5)],6)                                                       => 18
([(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)                                                       => 6
([(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)                                           => 12
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => 6
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => 4
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => 18
([(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)                                                 => 24
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => 4
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 6
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 4
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 14
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 4
([(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)                                                       => 6
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => 18
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => 1170
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 30
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 20
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 315
([(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)                                     => 15
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 20
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 116
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => 60
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 42
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 18
([(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)                               => 24
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 24
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 3
([(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)                                     => 180
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => 252
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => 1170
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 116
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 260
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 60
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 30
([(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)                                     => 6
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => 90
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 6
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 4
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 9
([(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)                                           => 20
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => 1
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => 18
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 56
([(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)                                           => 5
([(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)                                           => 5
([],7)                                                                        => 7
([(5,6)],7)                                                                   => 7
([(4,5),(4,6)],7)                                                             => 14
([(3,4),(3,5),(3,6)],7)                                                       => 21
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 28
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 35
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => 6
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => 6
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 12
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => 18
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 24
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 5
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => 35
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => 12
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => 35
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => 35
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => 14
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 18
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => 90
([(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)                               => 12
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => 72
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 84
([(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)                         => 24
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => 12
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => 260
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 28
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => 56
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => 60
([(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) => 4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => 10
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 48
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => 6
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 6
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 18
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 6
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => 28
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => 35
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => 18
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 56
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 21
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => 7
([(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)                                     => 35
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 14
([(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)                   => 7
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => 3
([(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)                   => 18
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => 14
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => 24
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => 42
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => 12
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 70
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => 18
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => 12
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => 60
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => 30
([(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)                         => 8
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 6
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => 40
([(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)                                           => 35
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 35
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 35
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 6
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 42
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => 18
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => 24
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => 28
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => 5
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => 36
([(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)                               => 42
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 12
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 24
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 72
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 84
([(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)                                     => 6
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => 18
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 1170
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 60
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 42
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 18
([(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)             => 24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 24
([(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) => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 180
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => 24
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 1170
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => 116
([(3,4),(3,5),(5,6)],7)                                                       => 21
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => 56
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => 35
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 24
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => 7
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 14
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 7
([(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)                                                 => 28
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => 42
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 14
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 7
([(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)                         => 7
([(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)                         => 4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 6
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 2
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 49
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 40
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 35
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => 70
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 28
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 18
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => 90
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => 14
([(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)                         => 7
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 4
([(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)                         => 60
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 40
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 56
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => 12
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => 260
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => 28
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 56
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => 60
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => 4
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => 21
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => 7
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => 6
([(4,5),(5,6)],7)                                                             => 7
([(3,4),(4,5),(4,6)],7)                                                       => 7
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => 21
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => 14
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => 5
([(3,4),(4,6),(6,5)],7)                                                       => 7
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 14
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 7
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 4
([(4,6),(5,6)],7)                                                             => 14
([(3,6),(4,6),(6,5)],7)                                                       => 7
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 14
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 7
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 4
([(3,6),(4,6),(5,6)],7)                                                       => 21
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => 21
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => 7
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => 3
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => 28
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 14
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => 4
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => 35
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => 5
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => 6
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => 28
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => 4
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 84
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => 6
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => 21
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 7
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 35
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 21
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 3
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 11
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => 105
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 231
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 42
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 90
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => 42
([(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)                                     => 126
([(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)                                     => 42
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 78
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 12
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 35
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => 5
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 21
([(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)                                     => 18
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 483
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => 6
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 12
([(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)                                     => 6
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 42
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 1320
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 34086
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 144
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 720
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 44
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 10
([(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)                                     => 18
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 924
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 966
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => 6
([(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)                                     => 12
([(2,6),(3,6),(4,5)],7)                                                       => 14
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 84
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => 49
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => 126
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => 14
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 12
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 80
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 9
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 12
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 98
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => 21
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => 154
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => 48
([(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)                               => 85
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => 33
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 42
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 7
([(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)                         => 7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => 42
([(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)                   => 3
([(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)                         => 126
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 135
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 462
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 720
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 144
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 10
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => 28
([(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)                                     => 98
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 154
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 14
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => 18
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 230
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 24
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 84
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 26
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 114
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 32016
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 464
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 3230
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 11130
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 87906
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 2240
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 13260
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 34086
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 44
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 966
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => 84
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => 168
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 126
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 9660
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 42
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 72
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => 157842
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => 704
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 214
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 910
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 145860
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 630
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 17472
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 167790
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 924
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 720
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => 14
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => 56
([(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)                                                 => 7
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => 7
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => 140
([(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)                                           => 14
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => 4
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => 10
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 28
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => 21
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => 10
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => 70
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 70
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 119
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 84
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => 84
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => 560
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 20
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 42
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 20
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 60
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 14
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => 7
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => 35
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 28
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 24
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 154
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => 14
([(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)                                     => 126
([(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)                                           => 70
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => 238
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => 42
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => 1716
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 84
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 60
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => 42
([(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)                                     => 84
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => 154
([(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)                                     => 42
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => 114
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 6
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => 390
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 90
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => 48
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 228
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => 10
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 18
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => 385
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 28
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => 35
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 10
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => 42
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => 6
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 84
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 240
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 30
([(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)                                     => 156
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => 355
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => 48
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => 1410
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 114
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 20
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => 66
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 30
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => 12
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => 54
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => 55
([(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)                   => 12
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => 6
([(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)                         => 30
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => 20
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => 108
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => 36
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => 7
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 390
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 110
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => 63
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => 20
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => 510
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 18
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => 48
([(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)                                     => 14
([(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)                               => 12
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)                               => 462
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 48
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 12
([(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)                               => 6
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 114
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 30
([(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)                               => 24
([(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)                                                 => 28
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 14
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 4
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => 14
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 7
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 35
([(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)                                           => 7
([(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)                                     => 48
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => 98
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 85
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 238
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 28
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => 14
([(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)                                     => 161
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 10
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => 28
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => 10
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 238
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 319
([(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)                               => 6
([(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)                   => 4
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 35
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => 5
([(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)                               => 2
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => 35
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => 5
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 14
([(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)                                     => 12
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => 17
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => 8
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 48
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => 14
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => 910
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 322
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 260
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 98
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 238
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 28
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 170
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => 196
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 189
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 56
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 70
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 30
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 60
([(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)                         => 14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => 4
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                     => 408
([(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)                                     => 7
([(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)                                           => 35
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => 10
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 14
([(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)                                     => 48
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => 12
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => 14
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 14
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 4
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 10
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 56
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 240
([(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
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => 28
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 10
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 640
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 630
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 18
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 24
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 924
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 1020
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => 14070
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 660
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 5670
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 138040
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 84
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 1320
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 144
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => 42
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => 1320
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 9570
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 35530
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 154
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 560
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 22
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 924
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 88
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 42
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => 6
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 90
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 168
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => 1428
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 14700
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 42
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => 40
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 18
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => 14
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => 11730
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => 408
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 378
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => 574
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => 80
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 630
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => 40
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => 1080
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 170
([(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)             => 1872
([(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) => 12
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 520
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 70
([(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)                         => 2
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 322
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => 322
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 238
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 46
([(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)                         => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 6
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => 2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => 638
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 36
([(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)                         => 6
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 84
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 22
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 38114
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 28
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => 4
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => 6
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => 42
([(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)                                     => 6
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => 6
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => 40
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => 12
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 34086
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => 18
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 6
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => 18
([(3,6),(4,5)],7)                                                             => 7
([(3,6),(4,5),(4,6)],7)                                                       => 21
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 28
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 35
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 126
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 560
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 48
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 6
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 28
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 7
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => 48
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => 161
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 9
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 33
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 42
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => 7
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => 6
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => 49
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 35
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => 48
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 84
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => 35
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => 70
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 20
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 161
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => 33
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => 63
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => 42
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => 60
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => 20
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => 7
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 42
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 28
([(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)                                     => 14
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 7
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => 14
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 7
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 7
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => 10
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 12
([(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)             => 6
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 7
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 49
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => 126
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 126
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 264
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => 42
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 21
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => 462
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 154
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 18
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 184
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 85
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => 80
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => 14
([(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)                         => 20
([(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)                   => 30
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => 14
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => 20
([(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)                               => 7
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 35
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 5
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 56
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => 56
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 40
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => 28
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)                                     => 42
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => 30
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => 12
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => 310
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => 14
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => 160
([(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)                                     => 49
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => 378
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 28
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 136
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 56
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => 408
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => 140
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => 126
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => 30
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 21
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => 238
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 22
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 18
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 182
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 182
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 52
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 68
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => 322
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => 2090
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 550
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => 60
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => 504
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 154
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 14
([(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)                         => 2
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => 14
([(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)                               => 1554
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 40
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => 42
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 40
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 48
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 322
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => 216
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => 56
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 238
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => 1054
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 308
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => 46
([(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)                         => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => 14858
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 112
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => 56
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => 30
([(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)                         => 95
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 40
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => 322
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 140
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 70
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 10
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => 98
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 170
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 238
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 28
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 14
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => 7
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 10
([(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)                         => 6
([(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)                               => 638
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 6
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => 40
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => 80
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 630
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => 85
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 630
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 322
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => 24
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 10
([(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)                                                 => 49
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 140
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 11
([(2,6),(3,4),(3,5)],7)                                                       => 14
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => 28
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 105
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 168
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => 1540
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 56
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 105
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 28
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => 483
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => 516
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => 35
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 70
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 20
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 161
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => 63
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 42
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 30
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => 84
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => 126
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => 105
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 420
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => 105
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 42
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => 60
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 20
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 510
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => 40
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 98
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 48
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => 21
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => 105
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 84
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => 510
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => 168
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 132
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 126
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 90
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 483
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => 28
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => 84
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 6
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 78
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => 18
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => 228
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 90
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 5
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 24
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 42
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 238
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 30
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 12
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 35
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 6
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 385
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => 319
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => 35
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 18
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 70
([(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)                               => 14
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 4
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 35
([(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)                               => 228
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 20
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => 110
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => 132
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => 78
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 63
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => 72
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => 990

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Created: Mar 23, 2022 at 07:54 by Martin Rubey

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Last Updated: Mar 23, 2022 at 07:54 by Martin Rubey