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Statistic identifier: St001782

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Collection: Posets

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Description: The order of rowmotion on the set of order ideals of a poset.

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References: [1]   Striker, J., Williams, N. Promotion and rowmotion [[MathSciNet:2950491]]

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Code:
def statistic(P):
    return lcm(len(o) for o in P.rowmotion_orbits())


-----------------------------------------------------------------------------
Statistic values:

([],1)                                                                        => 2
([],2)                                                                        => 2
([(0,1)],2)                                                                   => 3
([],3)                                                                        => 2
([(1,2)],3)                                                                   => 6
([(0,1),(0,2)],3)                                                             => 6
([(0,2),(2,1)],3)                                                             => 4
([(0,2),(1,2)],3)                                                             => 6
([],4)                                                                        => 2
([(2,3)],4)                                                                   => 6
([(1,2),(1,3)],4)                                                             => 6
([(0,1),(0,2),(0,3)],4)                                                       => 6
([(0,2),(0,3),(3,1)],4)                                                       => 7
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => 4
([(1,2),(2,3)],4)                                                             => 4
([(0,3),(3,1),(3,2)],4)                                                       => 4
([(1,3),(2,3)],4)                                                             => 6
([(0,3),(1,3),(3,2)],4)                                                       => 4
([(0,3),(1,3),(2,3)],4)                                                       => 6
([(0,3),(1,2)],4)                                                             => 3
([(0,3),(1,2),(1,3)],4)                                                       => 15
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 6
([(0,3),(2,1),(3,2)],4)                                                       => 5
([(0,3),(1,2),(2,3)],4)                                                       => 7
([],5)                                                                        => 2
([(3,4)],5)                                                                   => 6
([(2,3),(2,4)],5)                                                             => 6
([(1,2),(1,3),(1,4)],5)                                                       => 6
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 6
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => 42
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => 14
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => 4
([(1,3),(1,4),(4,2)],5)                                                       => 14
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => 14
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => 4
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 10
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 12
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => 20
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => 4
([(2,3),(3,4)],5)                                                             => 4
([(1,4),(4,2),(4,3)],5)                                                       => 4
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => 4
([(2,4),(3,4)],5)                                                             => 6
([(1,4),(2,4),(4,3)],5)                                                       => 4
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => 4
([(1,4),(2,4),(3,4)],5)                                                       => 6
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => 4
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => 6
([(0,4),(1,4),(2,3)],5)                                                       => 6
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 24
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => 30
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => 6
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => 10
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => 14
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => 30
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => 42
([(1,4),(2,3)],5)                                                             => 6
([(1,4),(2,3),(2,4)],5)                                                       => 30
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => 24
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => 20
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => 6
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => 14
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => 4
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 10
([(0,4),(1,2),(1,3)],5)                                                       => 6
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => 30
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 20
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 10
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => 8
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => 14
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => 24
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => 30
([(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)                                           => 10
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 24
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => 14
([(1,4),(3,2),(4,3)],5)                                                       => 10
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => 10
([(1,4),(2,3),(3,4)],5)                                                       => 14
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => 8
([(0,3),(1,4),(4,2)],5)                                                       => 12
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => 8
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => 10
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => 6
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => 12
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => 20
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 10
([],6)                                                                        => 2
([(4,5)],6)                                                                   => 6
([(3,4),(3,5)],6)                                                             => 6
([(2,3),(2,4),(2,5)],6)                                                       => 6
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => 6
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => 6
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 42
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => 42
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => 14
([(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)                                                 => 42
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 42
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => 14
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => 10
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => 12
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 20
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => 60
([(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)                                     => 20
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => 42
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => 70
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 14
([(2,3),(2,4),(4,5)],6)                                                       => 14
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 14
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 14
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 4
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => 10
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => 10
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => 12
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 20
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 4
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => 8
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 10
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => 11
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => 12
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => 60
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 8
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => 20
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 4
([(3,4),(4,5)],6)                                                             => 4
([(2,3),(3,4),(3,5)],6)                                                       => 4
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 4
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 4
([(2,3),(3,5),(5,4)],6)                                                       => 10
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => 10
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => 10
([(3,5),(4,5)],6)                                                             => 6
([(2,5),(3,5),(5,4)],6)                                                       => 4
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => 4
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => 4
([(2,5),(3,5),(4,5)],6)                                                       => 6
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => 4
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => 4
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => 6
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => 4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => 6
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 6
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => 10
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => 14
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => 30
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => 42
([(1,5),(2,5),(3,4)],6)                                                       => 6
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => 24
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 24
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 8
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 30
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => 24
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => 20
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 6
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 14
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 4
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => 10
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => 10
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => 14
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => 8
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => 12
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 8
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 10
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => 30
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 30
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 24
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 60
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => 6
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 10
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 24
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 14
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => 30
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 55
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => 20
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => 15
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 30
([(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)                                     => 42
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 42
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => 24
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 12
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => 6
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => 12
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => 8
([(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)                                           => 20
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => 20
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 20
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => 10
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => 6
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 24
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 30
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 24
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 30
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 6
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => 20
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 10
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => 42
([(2,5),(3,4)],6)                                                             => 6
([(2,5),(3,4),(3,5)],6)                                                       => 30
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => 24
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => 24
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => 12
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => 20
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 20
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 5
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 20
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => 8
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 6
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => 14
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => 14
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => 12
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => 20
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 4
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => 6
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => 20
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => 8
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => 10
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => 14
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => 24
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 24
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 42
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => 10
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => 10
([(1,5),(2,3),(2,4)],6)                                                       => 6
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 30
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => 42
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 55
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 24
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 60
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => 20
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 6
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 30
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => 20
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => 30
([(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)                                     => 10
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 24
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 14
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => 24
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => 24
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 14
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => 20
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => 20
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 13
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => 9
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => 5
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => 9
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => 11
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => 10
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => 8
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 8
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => 9
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => 14
([(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)                                           => 33
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => 26
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 10
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 22
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => 22
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => 55
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => 21
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => 15
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => 18
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 33
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => 12
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => 12
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => 12
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                     => 6
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 20
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 24
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 30
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => 63
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => 10
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 6
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => 42
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => 14
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 4
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => 24
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 70
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => 20
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => 35
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => 10
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 12
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 35
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 11
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => 15
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => 26
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => 26
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => 8
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => 56
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => 8
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 13
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 6
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 24
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 30
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => 18
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => 24
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => 30
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 6
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => 30
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => 17
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => 10
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => 48
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => 10
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => 8
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => 11
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => 24
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => 56
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => 70
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 14
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => 20
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => 24
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 15
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => 14
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => 11
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => 8
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => 28
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 9
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 12
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => 12
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => 11
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => 8
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => 24
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => 10
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 35
([(2,5),(3,4),(4,5)],6)                                                       => 14
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => 8
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => 8
([(1,3),(2,4),(4,5)],6)                                                       => 12
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => 8
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => 10
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => 6
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => 12
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => 24
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => 30
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => 6
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => 6
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => 12
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => 15
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 4
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 12
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 20
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 12
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => 20
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => 10
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => 6
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => 12
([(0,5),(1,4),(2,3)],6)                                                       => 3
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => 15
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => 210
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 45
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 9
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 48
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => 11
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 70
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 35
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 18
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => 231
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 24
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 30
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => 15
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => 30
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 30
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 6
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => 26
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 105
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => 18
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => 210
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 17
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 15
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 63
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 45
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => 20
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => 10
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => 5
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => 42
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 15
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 15
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 15
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => 11
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => 9
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => 35
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => 7
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => 21
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 35
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => 9
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => 15
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => 11
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => 6
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 13
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => 9
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => 42
([],7)                                                                        => 2
([(5,6)],7)                                                                   => 6
([(4,5),(4,6)],7)                                                             => 6
([(3,4),(3,5),(3,6)],7)                                                       => 6
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 6
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 6
([(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)                                     => 42
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 42
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => 42
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 14
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 4
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => 42
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => 42
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => 42
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => 14
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 10
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 12
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => 60
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => 8
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => 20
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => 42
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => 56
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 70
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 14
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => 210
([(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)                   => 24
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 60
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => 8
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => 20
([(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)                   => 24
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 30
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => 20
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 42
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 210
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 42
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => 42
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => 42
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => 42
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 14
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 4
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => 10
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => 10
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => 12
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 8
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 20
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 4
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => 8
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => 10
([(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)             => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => 22
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => 18
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => 40
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 60
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => 66
([(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)                         => 18
([(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)                               => 8
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => 18
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 78
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => 22
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => 20
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => 20
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => 42
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 70
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 14
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 12
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 24
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => 60
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => 22
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => 22
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => 8
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => 30
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 20
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => 110
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 42
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 210
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 56
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 70
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 14
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => 12
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => 60
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 140
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 308
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 24
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 60
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => 20
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => 20
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 20
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 140
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => 14
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 140
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => 19
([(3,4),(3,5),(5,6)],7)                                                       => 14
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => 14
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => 14
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 14
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => 4
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 10
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 10
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => 10
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => 12
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => 20
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 4
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 8
([(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)                         => 10
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => 6
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => 30
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 10
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 10
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 22
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 22
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 12
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => 60
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 44
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 12
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => 60
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => 8
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => 20
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 4
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 24
([(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)       => 10
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => 72
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 22
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 40
([(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)                               => 24
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => 60
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 8
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => 20
([(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)                                           => 8
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => 18
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => 18
([(4,5),(5,6)],7)                                                             => 4
([(3,4),(4,5),(4,6)],7)                                                       => 4
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => 4
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => 4
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => 4
([(3,4),(4,6),(6,5)],7)                                                       => 10
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 10
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 10
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 10
([(4,6),(5,6)],7)                                                             => 6
([(3,6),(4,6),(6,5)],7)                                                       => 4
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 4
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 4
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 4
([(3,6),(4,6),(5,6)],7)                                                       => 6
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => 4
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => 4
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => 4
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => 6
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 4
([(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)                                           => 6
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => 4
([(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)                                           => 6
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => 10
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => 14
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => 42
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => 6
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 10
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 14
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 12
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 8
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 10
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => 30
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 60
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => 6
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => 10
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => 14
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 42
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 42
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 12
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => 6
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => 8
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => 12
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 20
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => 110
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 22
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => 6
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => 20
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 6
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 24
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 30
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 24
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 30
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 6
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => 20
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 10
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => 42
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 30
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => 20
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 20
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 10
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => 42
([(2,6),(3,6),(4,5)],7)                                                       => 6
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 24
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => 24
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => 24
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => 8
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 40
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 20
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 12
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 8
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 30
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => 24
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => 24
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => 12
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => 20
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => 20
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => 8
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 6
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 14
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 4
([(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)                   => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => 8
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => 24
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 30
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 30
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 24
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 42
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => 30
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 90
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 10
([(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)                               => 48
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 22
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 70
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 70
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 18
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 462
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 26
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 210
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 18
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 210
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 34
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 102
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 30
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 126
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 42
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => 24
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => 24
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 60
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 50
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 18
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 56
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => 510
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => 120
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 840
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 210
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 120
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 20
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 30
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 150
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 42
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 336
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => 10
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => 14
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => 8
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => 8
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => 12
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => 8
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => 10
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => 6
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)                                           => 12
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => 30
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 30
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => 30
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => 30
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => 24
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 60
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 20
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 24
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => 24
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => 12
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 60
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 90
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 30
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 36
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 6
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => 10
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => 24
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 14
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 22
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 30
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => 12
([(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)                                     => 24
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => 10
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => 30
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => 60
([(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)                               => 330
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 24
([(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)                                           => 6
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => 10
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => 24
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => 14
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => 30
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => 770
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 20
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 60
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => 30
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 66
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => 30
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 30
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 30
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 42
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => 30
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 24
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => 42
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 24
([(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)                                     => 18
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 28
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 12
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 18
([(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)                                     => 66
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => 22
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => 30
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => 126
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 76
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 66
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => 12
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 18
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => 66
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => 16
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => 12
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => 8
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => 40
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => 78
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => 12
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => 18
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => 30
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => 84
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => 20
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => 12
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 462
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 66
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => 18
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => 22
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => 770
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 210
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => 30
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => 8
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => 12
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => 6
([(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)                               => 52
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 20
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 22
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => 6
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => 20
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 770
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 110
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => 20
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => 60
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => 30
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => 42
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 24
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 24
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => 12
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 6
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 12
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => 30
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => 4
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => 12
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => 60
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => 20
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 12
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 30
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 44
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => 12
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => 6
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => 20
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 12
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => 24
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => 24
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 60
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 8
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => 8
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => 8
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 20
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 20
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => 10
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 22
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => 12
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => 6
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                               => 14
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => 20
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => 12
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 30
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => 14
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => 52
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => 14
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => 18
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 70
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => 6
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => 24
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 24
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 24
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 30
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 24
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 60
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 30
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => 24
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 24
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 8
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 30
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 24
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => 10
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 14
([(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)                                     => 24
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => 20
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => 10
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => 12
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => 6
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 42
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 12
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => 8
([(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)                                     => 20
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => 12
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => 6
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 30
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 30
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 30
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 42
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 70
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => 18
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => 30
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => 30
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 210
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 18
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 336
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 66
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 210
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 210
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 238
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => 2310
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 78
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 210
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 90
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 42
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 210
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 126
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => 30
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => 210
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 120
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 210
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 16
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 16
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 70
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 30
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 126
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 90
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => 10
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 70
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 42
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => 210
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 240
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 110
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => 22
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 210
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => 6
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => 462
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 24
([(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)                         => 78
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => 24
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 30
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => 30
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 30
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 30
([(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) => 6
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 18
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 26
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => 20
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => 10
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 24
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 42
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => 24
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 30
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 110
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => 20
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => 10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => 30
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 30
([(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)                         => 42
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 70
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 70
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 90
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 42
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => 18
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => 30
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => 42
([(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)                                     => 22
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => 78
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => 18
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => 22
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => 42
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 70
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => 72
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 18
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => 210
([(3,6),(4,5)],7)                                                             => 6
([(3,6),(4,5),(4,6)],7)                                                       => 30
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 24
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 24
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 24
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 12
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 12
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 20
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 12
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 20
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => 12
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => 20
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 12
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 8
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 20
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => 10
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => 10
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => 20
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 8
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => 60
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 24
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => 90
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => 18
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 30
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 20
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => 14
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => 16
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => 90
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => 16
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => 18
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => 6
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 14
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 14
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => 14
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => 4
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 10
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => 12
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 20
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 4
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => 12
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 60
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 8
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => 20
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => 4
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 6
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 24
([(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)                         => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 88
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => 24
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 30
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => 42
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 24
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 60
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 110
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 20
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => 24
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => 20
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => 26
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => 8
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => 22
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => 18
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 10
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 8
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 14
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 8
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 66
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => 110
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 8
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => 22
([(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)                         => 22
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => 18
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => 12
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => 26
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 10
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => 210
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 10
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 70
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => 30
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => 78
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => 26
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => 8
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 126
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 210
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 60
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 66
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 210
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => 60
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => 78
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 168
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => 52
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 52
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 6
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => 20
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => 10
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => 48
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => 24
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 56
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 70
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 24
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => 102
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 30
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => 110
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => 20
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => 48
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 60
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => 30
([(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)                         => 18
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 168
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 210
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 42
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 84
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 18
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 66
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => 12
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => 6
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => 12
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => 66
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 12
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => 8
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => 24
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 140
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 180
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => 20
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 20
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => 10
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => 10
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 10
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 10
([(2,6),(3,4),(3,5)],7)                                                       => 6
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => 30
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 42
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 42
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => 18
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 110
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 110
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 40
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => 26
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => 22
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => 24
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 60
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 30
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 20
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => 8
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 90
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 18
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => 24
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => 120
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => 156
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 180
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => 12
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 24
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => 12
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 60
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 76
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => 20
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 20
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 20
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => 6
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => 30
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 42
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => 770
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => 42
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 330
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 24
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 60
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 20
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => 6
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => 30
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 20
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 30
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => 210
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => 30
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 30
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 10
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 14
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 24
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 24
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 24
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 14
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 20
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 20
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 30
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => 8
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => 30
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 72
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 10
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => 8
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => 24
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 18
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 14
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => 8
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => 66
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 22
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => 66
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => 330
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => 42
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 18
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => 110
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => 210

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Created: Mar 23, 2022 at 11:57 by Martin Rubey

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Last Updated: Mar 23, 2022 at 11:57 by Martin Rubey