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Statistic identifier: St001709

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Collection: Posets

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Description: The number of homomorphisms to the three element chain of a poset.

This is the evaluation of the order polynomial at $3$.

-----------------------------------------------------------------------------
References: [1]   Campo, F. a. A recursive approach for the enumeration of the homomorphisms from a poset $P$ to the chain $C_3$ [[arXiv:2104.03079]]

-----------------------------------------------------------------------------
Code:
def statistic(P):
    return P.order_polynomial().subs(q=3)


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

([],1)                                                                        => 3
([],2)                                                                        => 9
([(0,1)],2)                                                                   => 6
([],3)                                                                        => 27
([(1,2)],3)                                                                   => 18
([(0,1),(0,2)],3)                                                             => 14
([(0,2),(2,1)],3)                                                             => 10
([(0,2),(1,2)],3)                                                             => 14
([],4)                                                                        => 81
([(2,3)],4)                                                                   => 54
([(1,2),(1,3)],4)                                                             => 42
([(0,1),(0,2),(0,3)],4)                                                       => 36
([(0,2),(0,3),(3,1)],4)                                                       => 25
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => 20
([(1,2),(2,3)],4)                                                             => 30
([(0,3),(3,1),(3,2)],4)                                                       => 20
([(1,3),(2,3)],4)                                                             => 42
([(0,3),(1,3),(3,2)],4)                                                       => 20
([(0,3),(1,3),(2,3)],4)                                                       => 36
([(0,3),(1,2)],4)                                                             => 36
([(0,3),(1,2),(1,3)],4)                                                       => 31
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 26
([(0,3),(2,1),(3,2)],4)                                                       => 15
([(0,3),(1,2),(2,3)],4)                                                       => 25
([],5)                                                                        => 243
([(3,4)],5)                                                                   => 162
([(2,3),(2,4)],5)                                                             => 126
([(1,2),(1,3),(1,4)],5)                                                       => 108
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 98
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => 67
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => 53
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => 46
([(1,3),(1,4),(4,2)],5)                                                       => 75
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => 53
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => 60
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 27
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 46
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => 40
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => 34
([(2,3),(3,4)],5)                                                             => 90
([(1,4),(4,2),(4,3)],5)                                                       => 60
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => 46
([(2,4),(3,4)],5)                                                             => 126
([(1,4),(2,4),(4,3)],5)                                                       => 60
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => 34
([(1,4),(2,4),(3,4)],5)                                                       => 108
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => 46
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => 98
([(0,4),(1,4),(2,3)],5)                                                       => 84
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 70
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => 63
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => 56
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => 27
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => 53
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => 77
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => 67
([(1,4),(2,3)],5)                                                             => 108
([(1,4),(2,3),(2,4)],5)                                                       => 93
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => 54
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => 40
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => 78
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => 41
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => 34
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 47
([(0,4),(1,2),(1,3)],5)                                                       => 84
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => 77
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 39
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 61
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => 33
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => 53
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => 70
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => 63
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => 56
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => 48
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 54
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => 41
([(1,4),(3,2),(4,3)],5)                                                       => 45
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => 27
([(1,4),(2,3),(3,4)],5)                                                       => 75
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => 33
([(0,3),(1,4),(4,2)],5)                                                       => 60
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => 33
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => 47
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => 21
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => 46
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => 39
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 27
([],6)                                                                        => 729
([(4,5)],6)                                                                   => 486
([(3,4),(3,5)],6)                                                             => 378
([(2,3),(2,4),(2,5)],6)                                                       => 324
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => 294
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => 276
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 187
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => 147
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => 127
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => 116
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => 201
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 147
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => 159
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => 138
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => 57
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => 100
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => 84
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 76
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 68
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => 92
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => 65
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                     => 73
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => 127
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => 110
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 93
([(2,3),(2,4),(4,5)],6)                                                       => 225
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 159
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 127
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 180
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => 81
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => 43
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => 138
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 120
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 102
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => 51
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 43
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => 58
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => 100
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => 92
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 84
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => 76
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 68
([(3,4),(4,5)],6)                                                             => 270
([(2,3),(3,4),(3,5)],6)                                                       => 180
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 138
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 116
([(2,3),(3,5),(5,4)],6)                                                       => 135
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => 81
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => 57
([(3,5),(4,5)],6)                                                             => 378
([(2,5),(3,5),(5,4)],6)                                                       => 180
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => 102
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => 68
([(2,5),(3,5),(4,5)],6)                                                       => 324
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => 138
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => 68
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => 294
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => 116
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => 276
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 216
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => 57
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => 127
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => 205
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => 187
([(1,5),(2,5),(3,4)],6)                                                       => 252
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => 210
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 104
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 84
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 189
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => 96
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => 76
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 168
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 79
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 68
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => 87
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => 81
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => 159
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => 65
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => 120
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 51
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 85
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => 231
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 103
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 132
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 92
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => 196
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 43
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 112
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 77
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => 187
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 100
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => 73
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => 57
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 161
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => 90
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => 65
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => 147
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 201
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => 81
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 140
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => 35
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => 100
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => 83
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => 65
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => 121
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => 107
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 73
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => 57
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => 196
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 176
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 165
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 156
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 145
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 134
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => 73
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 43
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => 147
([(2,5),(3,4)],6)                                                             => 324
([(2,5),(3,4),(3,5)],6)                                                       => 279
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => 162
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => 112
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => 76
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => 60
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 120
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 50
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 84
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => 68
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 234
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => 123
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => 77
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 102
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => 68
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => 60
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 52
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => 156
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => 59
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => 43
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => 51
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => 105
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => 93
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => 138
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => 88
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 129
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 106
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 114
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 95
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => 141
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => 85
([(1,5),(2,3),(2,4)],6)                                                       => 252
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 231
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => 141
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 102
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 112
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 92
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => 121
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 216
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 205
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => 107
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => 161
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => 90
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 139
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 81
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 127
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => 132
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => 96
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 79
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => 117
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => 73
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 73
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => 66
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => 50
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => 66
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => 59
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => 183
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => 83
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 99
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => 42
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => 159
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 65
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => 111
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => 94
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 85
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 74
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => 74
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => 102
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => 150
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => 90
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => 122
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 111
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => 49
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => 120
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => 100
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                     => 35
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 73
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 210
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 189
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => 104
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => 85
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 168
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => 95
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => 77
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 68
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => 114
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 86
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => 76
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => 113
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => 144
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 77
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 68
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 59
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => 123
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => 94
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => 96
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => 69
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => 95
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => 84
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 76
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 196
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 176
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 165
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => 124
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 104
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => 156
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => 145
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 134
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => 106
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => 115
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => 88
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => 133
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => 105
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => 51
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => 58
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => 112
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => 95
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => 86
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 77
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => 86
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => 162
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 75
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => 123
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => 60
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => 51
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => 93
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 66
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 77
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => 140
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => 56
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => 65
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => 104
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => 87
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 68
([(2,5),(3,4),(4,5)],6)                                                       => 225
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => 99
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => 51
([(1,3),(2,4),(4,5)],6)                                                       => 180
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => 99
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => 141
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => 67
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => 120
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => 81
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => 103
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => 63
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => 35
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => 138
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => 57
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 100
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 49
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 84
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 68
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => 117
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => 81
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => 35
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => 49
([(0,5),(1,4),(2,3)],6)                                                       => 216
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => 186
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => 167
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 83
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 66
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 133
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => 58
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 110
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 66
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 122
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => 157
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 138
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 129
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => 129
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => 120
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 111
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 102
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => 96
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 148
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => 124
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => 167
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 115
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 123
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 104
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 83
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => 59
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => 43
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => 50
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => 141
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 90
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 57
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 75
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => 58
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => 42
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => 66
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => 28
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => 150
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 113
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => 42
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => 90
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => 56
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => 35
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 73
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => 42
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => 127
([],7)                                                                        => 2187
([(5,6)],7)                                                                   => 1458
([(4,5),(4,6)],7)                                                             => 1134
([(3,4),(3,5),(3,6)],7)                                                       => 972
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 882
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 828
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => 794
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => 535
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 419
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => 361
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 329
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 310
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => 561
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => 419
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => 441
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => 381
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => 348
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 135
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 244
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => 232
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => 147
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => 159
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => 283
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => 237
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 214
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 191
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => 260
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => 222
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => 200
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 188
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => 178
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => 166
([(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) => 154
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => 169
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 182
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => 205
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 361
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 312
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 263
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => 603
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => 441
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => 361
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 477
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 414
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => 171
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => 81
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => 300
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 252
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 228
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 204
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => 93
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => 81
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => 112
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => 90
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => 102
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => 121
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => 99
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 276
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => 120
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => 222
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => 212
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => 130
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 91
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => 195
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => 78
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 139
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => 100
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => 219
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => 119
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => 381
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 330
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 279
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 178
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 158
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => 148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => 103
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => 122
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => 109
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => 142
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 119
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => 162
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 283
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 260
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 237
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 214
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 191
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => 244
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => 211
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 190
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 179
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 158
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => 148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => 138
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 128
([(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) => 118
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 169
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => 112
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 190
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => 141
([(3,4),(3,5),(5,6)],7)                                                       => 675
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => 477
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => 381
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 329
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => 540
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 243
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 129
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => 81
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => 414
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => 360
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 306
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 153
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => 91
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 129
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => 53
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => 81
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 72
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 63
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 174
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 100
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 300
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => 276
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 140
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 244
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => 232
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => 252
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => 228
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 204
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 111
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => 91
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => 81
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => 121
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 100
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 131
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => 222
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => 200
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => 188
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 178
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => 166
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => 154
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => 297
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => 126
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => 62
([(4,5),(5,6)],7)                                                             => 810
([(3,4),(4,5),(4,6)],7)                                                       => 540
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => 414
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => 348
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => 310
([(3,4),(4,6),(6,5)],7)                                                       => 405
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 243
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 171
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 135
([(4,6),(5,6)],7)                                                             => 1134
([(3,6),(4,6),(6,5)],7)                                                       => 540
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 306
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 204
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 154
([(3,6),(4,6),(5,6)],7)                                                       => 972
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => 414
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => 204
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => 118
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => 882
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 348
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => 154
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => 828
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => 310
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => 794
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => 588
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => 135
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => 329
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 569
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => 535
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => 648
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 171
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 381
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 276
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 93
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 179
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => 615
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 251
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 348
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 232
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => 504
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => 81
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => 264
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => 167
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 491
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 445
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 419
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 561
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => 213
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 360
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => 69
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => 147
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => 244
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 329
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => 156
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 96
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => 69
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => 303
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 504
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 446
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 414
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 395
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 382
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 363
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 344
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => 159
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 81
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => 361
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 472
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 453
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => 205
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 119
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 81
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => 419
([(2,6),(3,6),(4,5)],7)                                                       => 756
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 630
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => 312
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => 184
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => 252
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 99
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 158
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 136
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 114
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 567
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => 288
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => 174
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => 126
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => 104
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 228
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => 138
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => 116
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 504
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 237
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 131
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 204
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 118
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => 106
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 94
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => 336
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => 105
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => 81
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => 211
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => 93
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => 310
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 186
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 297
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 258
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 270
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 239
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => 261
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => 141
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => 378
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 135
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 90
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => 112
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 249
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 102
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 214
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 114
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 234
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 339
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 198
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 326
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 286
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 351
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 223
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 273
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 285
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 254
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 309
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => 420
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => 368
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 144
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 272
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 121
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 237
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => 380
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => 314
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 289
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 276
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 301
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 235
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 355
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 301
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 324
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 269
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => 243
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => 477
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => 195
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => 91
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => 360
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => 153
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => 255
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => 113
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)                                           => 204
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => 111
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => 161
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 693
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => 309
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => 161
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => 396
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 276
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 180
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 136
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => 270
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => 168
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 124
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 201
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 108
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 152
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 588
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => 129
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => 336
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 231
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 104
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 143
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => 280
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => 91
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => 184
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => 141
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => 561
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => 257
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => 339
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => 228
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 270
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 212
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => 504
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => 81
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => 270
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => 174
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => 131
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => 491
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => 272
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 205
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 159
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => 421
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 244
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => 182
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 147
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 383
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 228
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => 169
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 361
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => 483
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 199
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => 441
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 169
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => 350
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => 62
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 191
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 147
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 130
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => 91
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => 239
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => 224
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => 182
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => 310
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 186
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 117
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => 175
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 130
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => 121
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => 155
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => 129
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => 111
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => 99
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => 139
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => 87
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => 130
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => 108
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => 166
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => 139
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => 70
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 291
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 184
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => 198
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => 160
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => 276
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 254
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => 182
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => 147
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => 280
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => 53
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                               => 222
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)                               => 242
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 227
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 96
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => 53
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => 205
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 272
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 196
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => 159
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => 159
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => 117
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => 603
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 243
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 111
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => 420
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 105
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 300
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => 117
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => 200
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => 71
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => 156
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => 363
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 155
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 189
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 140
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => 280
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => 53
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => 178
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 134
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => 199
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => 169
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 257
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 223
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => 173
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => 147
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 205
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 159
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => 135
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 168
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => 68
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => 105
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                               => 44
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => 321
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => 125
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 210
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => 44
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => 161
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => 108
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => 78
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 174
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => 588
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => 528
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 258
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 200
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 495
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 246
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 188
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 207
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => 468
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 210
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 178
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 435
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 198
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 166
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => 185
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 402
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 173
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => 154
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                     => 232
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => 219
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => 129
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => 87
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => 53
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 441
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => 169
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 280
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => 133
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => 91
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => 227
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => 222
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => 504
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 162
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 81
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 123
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 318
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 217
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => 78
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => 182
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => 462
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 132
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 280
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 327
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 120
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 260
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 433
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 299
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => 393
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 220
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 380
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 338
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 387
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 311
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 280
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => 434
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => 353
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 328
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 303
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 135
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 259
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 110
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 257
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 204
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 153
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => 72
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 114
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 305
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => 409
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 353
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 162
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => 100
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 312
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => 364
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => 313
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => 288
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 264
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 251
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => 222
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => 286
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 210
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => 275
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => 262
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 249
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => 251
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 238
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 225
([(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) => 212
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 236
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 126
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => 101
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => 63
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 244
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 191
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => 340
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 327
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 156
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => 101
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => 119
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => 81
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 72
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => 63
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => 285
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 142
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => 91
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 263
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 176
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 110
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 334
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 402
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => 96
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => 228
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => 361
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => 350
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => 96
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => 139
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => 62
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => 100
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => 283
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 295
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => 116
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 62
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => 254
([(3,6),(4,5)],7)                                                             => 972
([(3,6),(4,5),(4,6)],7)                                                       => 837
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 486
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 336
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 264
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 168
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 126
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 106
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 228
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 180
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => 101
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => 178
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 136
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 116
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 360
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => 150
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => 72
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => 252
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 204
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => 156
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 136
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => 249
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => 198
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 79
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 131
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => 92
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => 112
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => 153
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => 111
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => 92
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => 702
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 369
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 231
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => 167
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => 306
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 129
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => 204
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 180
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 156
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => 134
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 124
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 114
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => 104
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => 94
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 468
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 414
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => 224
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 184
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 173
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => 158
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 387
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => 213
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 174
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 148
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 162
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 189
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => 212
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => 177
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => 101
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => 92
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => 73
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => 83
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => 82
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => 92
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 315
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 153
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 279
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 109
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 171
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => 158
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 135
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => 122
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)                                     => 246
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => 122
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => 102
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => 186
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => 204
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => 148
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 135
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 414
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => 201
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 264
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 129
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 116
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 103
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => 213
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => 172
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => 154
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => 117
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 387
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 190
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => 161
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => 228
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 164
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 148
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 318
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 151
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 123
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 138
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => 239
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => 174
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 175
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => 158
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => 202
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => 139
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 170
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 364
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => 101
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => 63
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => 82
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => 73
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => 225
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 165
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => 194
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 151
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 138
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 125
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 340
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => 203
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => 144
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 327
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => 266
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 234
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => 156
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => 119
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => 81
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => 277
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 162
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => 237
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => 122
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => 91
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => 133
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 100
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => 244
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 221
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 206
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 191
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => 342
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 147
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 171
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 132
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 285
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 126
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 111
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => 260
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 80
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => 53
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => 62
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => 71
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => 195
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 178
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => 135
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 109
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => 212
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 149
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => 189
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 158
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 179
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => 112
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => 90
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 143
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => 101
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => 81
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => 423
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 255
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 179
([(2,6),(3,4),(3,5)],7)                                                       => 756
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => 693
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 423
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 305
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => 203
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 158
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 306
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 130
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => 225
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => 180
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => 336
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 276
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 108
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 178
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => 156
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 153
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 130
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => 264
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => 229
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => 157
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 135
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => 178
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 194
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => 146
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 124
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 189
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => 146
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 363
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 227
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => 648
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => 615
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 387
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => 276
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => 305
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 248
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 264
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 232
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 329
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => 588
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => 569
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 303
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 445
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => 254
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => 383
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 228
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 349
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 213
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 329
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 348
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 246
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 198
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 173
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 321
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 205
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 483
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => 223
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => 270
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 116
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 417
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => 173
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => 243
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 96
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 381
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => 147
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => 261
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 160
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => 184
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => 248
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => 303
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 198
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => 208
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => 278

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Created: Apr 08, 2021 at 15:24 by Martin Rubey

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Last Updated: Apr 08, 2021 at 15:24 by Martin Rubey