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-----------------------------------------------------------------------------
Statistic identifier: St001815

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Collection: Posets

-----------------------------------------------------------------------------
Description: The number of order preserving surjections from a poset to a total order.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(P):
    p = P.order_polynomial()
    n = len(P)
    s = [(-1)^m*sum((-1)^k*binomial(m, k)*p.subs(q=k) for k in range(m+1)) for m in range(n+1)]
    return sum(s)


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

([],1)                                                                        => 1
([],2)                                                                        => 3
([(0,1)],2)                                                                   => 2
([],3)                                                                        => 13
([(1,2)],3)                                                                   => 8
([(0,1),(0,2)],3)                                                             => 6
([(0,2),(2,1)],3)                                                             => 4
([(0,2),(1,2)],3)                                                             => 6
([],4)                                                                        => 75
([(2,3)],4)                                                                   => 44
([(1,2),(1,3)],4)                                                             => 32
([(0,1),(0,2),(0,3)],4)                                                       => 26
([(0,2),(0,3),(3,1)],4)                                                       => 16
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => 12
([(1,2),(2,3)],4)                                                             => 20
([(0,3),(3,1),(3,2)],4)                                                       => 12
([(1,3),(2,3)],4)                                                             => 32
([(0,3),(1,3),(3,2)],4)                                                       => 12
([(0,3),(1,3),(2,3)],4)                                                       => 26
([(0,3),(1,2)],4)                                                             => 26
([(0,3),(1,2),(1,3)],4)                                                       => 22
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 18
([(0,3),(2,1),(3,2)],4)                                                       => 8
([(0,3),(1,2),(2,3)],4)                                                       => 16
([],5)                                                                        => 541
([(3,4)],5)                                                                   => 308
([(2,3),(2,4)],5)                                                             => 220
([(1,2),(1,3),(1,4)],5)                                                       => 176
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 150
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => 88
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => 64
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => 52
([(1,3),(1,4),(4,2)],5)                                                       => 104
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => 64
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => 76
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 24
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 52
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => 44
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => 36
([(2,3),(3,4)],5)                                                             => 132
([(1,4),(4,2),(4,3)],5)                                                       => 76
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => 52
([(2,4),(3,4)],5)                                                             => 220
([(1,4),(2,4),(4,3)],5)                                                       => 76
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => 36
([(1,4),(2,4),(3,4)],5)                                                       => 176
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => 52
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => 150
([(0,4),(1,4),(2,3)],5)                                                       => 126
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 102
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => 90
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => 78
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => 24
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => 64
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => 114
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => 88
([(1,4),(2,3)],5)                                                             => 176
([(1,4),(2,3),(2,4)],5)                                                       => 148
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => 68
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => 44
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => 120
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => 48
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => 36
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 56
([(0,4),(1,2),(1,3)],5)                                                       => 126
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => 114
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 40
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 80
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => 32
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => 64
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => 102
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => 90
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => 78
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => 60
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 68
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => 48
([(1,4),(3,2),(4,3)],5)                                                       => 48
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => 24
([(1,4),(2,3),(3,4)],5)                                                       => 104
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => 32
([(0,3),(1,4),(4,2)],5)                                                       => 76
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => 32
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => 56
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => 16
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => 52
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => 40
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 24
([],6)                                                                        => 4683
([(4,5)],6)                                                                   => 2612
([(3,4),(3,5)],6)                                                             => 1844
([(2,3),(2,4),(2,5)],6)                                                       => 1460
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => 1232
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => 1082
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 616
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => 440
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => 352
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => 300
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => 704
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 440
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => 504
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => 404
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => 104
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => 252
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => 204
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 180
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 156
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => 228
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => 128
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                     => 152
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => 352
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => 296
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 240
([(2,3),(2,4),(4,5)],6)                                                       => 840
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 504
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 352
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 604
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => 176
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => 72
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => 404
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 340
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 276
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => 96
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 72
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => 112
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => 252
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => 228
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 204
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => 180
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 156
([(3,4),(4,5)],6)                                                             => 1076
([(2,3),(3,4),(3,5)],6)                                                       => 604
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 404
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 300
([(2,3),(3,5),(5,4)],6)                                                       => 368
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => 176
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => 104
([(3,5),(4,5)],6)                                                             => 1844
([(2,5),(3,5),(5,4)],6)                                                       => 604
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => 276
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => 156
([(2,5),(3,5),(4,5)],6)                                                       => 1460
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => 404
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => 156
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => 1232
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => 300
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => 1082
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 818
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => 104
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => 352
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => 766
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => 616
([(1,5),(2,5),(3,4)],6)                                                       => 1032
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => 832
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 292
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 204
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 732
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => 268
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => 180
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 632
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 208
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 156
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => 232
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => 176
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => 504
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => 128
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => 340
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 96
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 216
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => 932
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 280
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 404
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 228
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => 730
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 72
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 316
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 192
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => 694
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 248
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => 152
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => 104
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 528
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => 208
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => 128
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => 440
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 704
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => 176
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 428
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => 48
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => 252
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => 192
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => 128
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => 352
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => 264
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 152
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => 104
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => 730
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 642
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 590
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 554
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 502
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 450
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => 152
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 72
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => 440
([(2,5),(3,4)],6)                                                             => 1460
([(2,5),(3,4),(3,5)],6)                                                       => 1224
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => 540
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => 316
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => 180
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => 132
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 340
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 88
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 204
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => 156
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 988
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => 376
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => 192
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 276
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => 156
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => 132
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 108
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => 554
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => 120
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => 72
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => 96
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => 304
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => 240
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => 482
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => 244
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 446
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 316
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 340
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 264
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => 440
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => 216
([(1,5),(2,3),(2,4)],6)                                                       => 1032
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 932
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => 440
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 272
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 316
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 228
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => 352
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 818
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 766
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => 264
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => 528
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => 208
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 416
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 176
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 352
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => 404
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => 268
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 208
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => 304
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => 152
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 152
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => 136
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => 88
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => 136
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => 120
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => 640
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => 192
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 240
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => 64
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => 504
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 128
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => 304
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => 248
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 216
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 160
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => 160
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => 272
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => 472
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => 208
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => 360
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 304
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => 80
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => 340
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => 252
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                     => 48
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 152
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 832
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 732
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => 296
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => 216
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 632
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => 264
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => 192
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 156
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => 340
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 224
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => 180
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => 328
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => 476
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 188
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 152
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 120
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => 372
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => 248
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => 268
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => 164
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => 256
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => 204
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 176
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 730
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 642
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 590
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => 384
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 292
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => 554
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => 502
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 450
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => 316
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => 348
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => 244
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => 416
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => 304
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => 96
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => 112
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => 316
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => 256
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => 224
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 192
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => 220
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => 540
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 168
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => 376
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => 128
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => 96
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => 236
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 136
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 188
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => 428
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => 96
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => 128
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => 292
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => 232
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 152
([(2,5),(3,4),(4,5)],6)                                                       => 840
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => 240
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => 96
([(1,3),(2,4),(4,5)],6)                                                       => 604
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => 240
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => 440
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => 144
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => 340
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => 176
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => 280
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => 112
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => 48
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => 404
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => 104
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 252
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 80
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 204
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 156
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => 304
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => 176
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => 48
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => 80
([(0,5),(1,4),(2,3)],6)                                                       => 818
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => 686
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => 606
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 192
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 136
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 416
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => 112
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 296
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 136
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 360
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => 562
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 482
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 446
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => 446
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => 410
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 374
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 338
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => 268
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 526
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => 384
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => 606
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 348
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 372
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 296
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 192
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => 120
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => 72
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => 88
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => 440
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 208
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 104
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 168
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => 112
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => 64
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => 136
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => 32
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => 472
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 328
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => 64
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => 208
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => 96
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => 48
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 152
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => 64
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => 352
([],7)                                                                        => 47293
([(5,6)],7)                                                                   => 25988
([(4,5),(4,6)],7)                                                             => 18196
([(3,4),(3,5),(3,6)],7)                                                       => 14300
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 11980
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 10448
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => 9366
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => 5224
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 3688
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => 2920
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 2464
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 2164
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => 5840
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => 3688
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => 4128
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => 3272
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => 2764
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 600
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 1636
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => 1532
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => 704
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => 808
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => 2064
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => 1664
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 1464
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 1264
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => 1864
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => 1460
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => 1284
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 1180
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => 1108
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => 1004
([(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) => 900
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => 880
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 1008
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => 1208
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 2920
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 2448
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 1976
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => 6720
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => 4128
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => 2920
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 4760
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 3780
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => 912
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => 312
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => 2316
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 1868
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 1644
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 1420
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => 416
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => 312
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => 536
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => 360
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => 464
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => 584
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => 408
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 2092
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => 560
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => 1460
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => 1388
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => 632
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 384
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => 1136
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => 256
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 680
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => 432
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => 1360
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => 552
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => 3272
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 2744
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 2216
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 1108
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 964
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => 892
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => 488
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => 608
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => 480
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => 752
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 552
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => 880
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 2064
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 1864
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 1664
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 1464
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 1264
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => 1636
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => 1372
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 1212
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 1124
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 964
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 892
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => 892
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => 820
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 748
([(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) => 676
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 1052
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => 536
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 1212
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => 720
([(3,4),(3,5),(5,6)],7)                                                       => 8072
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => 4760
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => 3272
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 2464
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => 5740
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 1584
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 624
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => 312
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => 3780
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => 3172
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 2564
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 848
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => 384
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 624
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => 144
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => 312
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 264
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 216
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 992
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 432
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 2316
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => 2092
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 704
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 1636
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => 1532
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => 1868
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => 1644
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 1420
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 528
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => 384
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => 312
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => 592
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 432
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 656
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => 1460
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => 1284
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => 1180
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 1108
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => 1004
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => 900
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => 2192
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => 544
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => 192
([(4,5),(5,6)],7)                                                             => 10404
([(3,4),(4,5),(4,6)],7)                                                       => 5740
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => 3780
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => 2764
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => 2164
([(3,4),(4,6),(6,5)],7)                                                       => 3408
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 1584
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 912
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 600
([(4,6),(5,6)],7)                                                             => 18196
([(3,6),(4,6),(6,5)],7)                                                       => 5740
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 2564
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 1420
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 900
([(3,6),(4,6),(5,6)],7)                                                       => 14300
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => 3780
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => 1420
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => 676
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => 11980
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 2764
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => 900
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => 10448
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => 2164
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => 9366
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => 6606
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => 600
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => 2464
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 6306
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => 5224
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => 7880
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 912
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 3272
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 2092
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 416
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 1160
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => 7372
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 1832
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 3068
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 1532
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => 5526
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => 312
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => 1988
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => 1056
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 5370
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 4304
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 3688
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 5840
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => 1232
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 3172
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => 208
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => 704
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => 1636
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 2768
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => 736
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 352
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => 208
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => 2152
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 5526
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 4758
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 4302
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 4002
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 3846
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 3546
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 3246
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => 808
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 312
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => 2920
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 5070
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 4770
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => 1208
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 552
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 312
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => 3688
([(2,6),(3,6),(4,5)],7)                                                       => 10020
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 8060
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => 2724
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => 1276
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => 1868
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 408
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 964
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 788
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 612
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 7080
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => 2500
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => 1204
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => 716
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => 540
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 1644
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => 820
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => 644
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 6100
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 1928
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 832
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 1420
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 676
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => 572
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 468
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => 3366
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => 520
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => 312
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => 1616
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => 416
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 1264
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => 3054
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 1356
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 2898
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 2148
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 2252
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 1848
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => 2152
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => 904
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => 3906
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 736
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 360
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => 536
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 2032
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 464
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 1464
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 568
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 1816
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 3438
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 1460
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 3282
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 2480
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 3570
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 1748
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 2324
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 2428
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 2024
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 2680
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => 4446
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => 3822
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 784
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 2232
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 584
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 1664
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => 3954
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => 3150
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 2862
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 2706
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 2994
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 1852
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 3666
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 2656
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 2856
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 2200
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => 1584
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => 4760
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => 1136
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => 384
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => 3172
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => 848
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => 1992
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => 560
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)                                           => 1420
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => 528
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => 1048
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 9040
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => 2600
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => 1048
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => 3804
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 2092
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 1140
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 788
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => 2156
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => 1036
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 684
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 1280
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 456
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 808
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 7024
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => 624
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => 2948
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 1768
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 512
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 760
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => 2228
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => 384
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => 1276
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => 904
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => 6676
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => 2000
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => 3032
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => 1616
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 2156
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 1388
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => 5526
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => 312
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => 2156
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => 1204
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => 832
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => 5370
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => 1944
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 1208
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 808
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => 4064
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 1616
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => 1008
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 704
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 3360
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 1408
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => 880
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 2920
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => 5008
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 1232
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => 4128
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 880
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => 3128
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => 192
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 1236
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 884
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 632
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => 384
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => 1712
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => 1488
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => 1008
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => 2648
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 1096
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 496
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => 1016
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 632
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => 584
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => 888
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => 608
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => 512
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => 408
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => 680
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => 304
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => 632
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => 456
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => 968
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => 680
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => 224
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 2296
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 1056
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => 1216
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => 832
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => 2120
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 1680
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => 1008
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => 704
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => 2228
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => 144
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                               => 1460
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)                               => 1824
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 1648
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 352
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => 144
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => 1208
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 1944
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 1160
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => 808
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => 808
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => 504
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => 6720
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 1584
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 528
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => 4028
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 400
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 2316
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => 504
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => 1284
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => 240
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => 932
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => 3296
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 880
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 1176
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 704
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => 2228
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => 144
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => 1108
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 756
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => 1232
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => 880
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 2000
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 1472
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => 960
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => 704
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 1208
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 808
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => 600
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 832
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => 192
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => 400
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                               => 96
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => 2416
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => 528
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 1328
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => 96
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => 856
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => 448
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => 256
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 1000
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => 7024
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => 6168
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 2052
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 1284
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 5660
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 1948
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 1180
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 1480
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => 5312
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 1564
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 1108
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 4804
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 1460
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 1004
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => 1304
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 4296
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 1200
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => 900
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                     => 1740
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => 1360
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => 624
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => 304
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => 144
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 4128
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => 880
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 2228
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => 704
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => 384
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => 1648
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => 1460
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => 5526
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 880
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 312
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 632
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 2632
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 1576
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => 256
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => 1008
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => 4986
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 664
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 2216
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 2928
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 560
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 1864
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 4602
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 2596
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => 4110
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 1636
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 3954
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 3064
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 3536
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 2700
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 2296
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => 4626
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => 3618
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 3330
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 3042
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 736
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 2104
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 504
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 2028
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 1448
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 832
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => 264
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 584
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 2504
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => 4338
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 3240
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 880
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => 432
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 2448
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => 3726
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => 3126
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => 2838
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 2574
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 2418
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => 1724
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => 2790
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 1620
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => 2682
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => 2526
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 2370
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => 2418
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 2262
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 2106
([(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) => 1950
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 1904
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 688
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => 456
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => 216
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 1900
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 1320
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => 3462
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 3306
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 904
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => 456
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => 552
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => 312
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 264
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => 216
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => 2416
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 752
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => 384
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 1976
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 1032
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 504
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 2888
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 3712
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => 352
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => 1408
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => 2920
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => 3128
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => 352
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => 680
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => 192
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => 432
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => 2064
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 2472
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => 480
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 192
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => 1680
([(3,6),(4,5)],7)                                                             => 14300
([(3,6),(4,5),(4,6)],7)                                                       => 11968
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 5132
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 2948
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 1988
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 1036
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 716
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 572
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 1644
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 1196
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => 448
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => 1108
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 788
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 644
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 3172
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => 768
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => 264
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => 1868
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 1420
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => 932
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 788
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => 1744
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => 1216
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 272
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 656
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => 400
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => 544
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => 832
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => 520
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => 408
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => 9636
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 3544
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 1768
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => 1056
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => 2564
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 624
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => 1420
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 1196
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 972
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => 756
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 684
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 612
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => 540
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => 468
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 5312
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 4616
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => 1768
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 1276
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 1168
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => 964
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 4268
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => 1672
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 1204
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 892
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 1072
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 1408
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => 1636
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => 1072
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => 456
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => 408
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => 288
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => 360
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => 336
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => 408
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 2848
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 848
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 2216
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 480
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 1120
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => 992
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 736
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => 608
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)                                     => 1960
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => 624
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => 480
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => 1336
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => 1420
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => 920
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 792
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 4616
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => 1528
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 2276
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 772
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 616
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 488
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => 1660
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => 1144
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => 1060
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => 668
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 4268
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 1432
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => 1048
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => 1876
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 1120
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 892
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 2972
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 964
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 632
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 808
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => 1972
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => 1192
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 1216
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => 964
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => 1564
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => 860
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 1072
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 3726
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => 456
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => 216
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => 336
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => 288
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => 1792
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 1168
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => 1348
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 976
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 848
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 720
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 3462
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => 1588
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => 988
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 3306
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => 2320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 1828
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => 904
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => 552
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => 312
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => 2416
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 1060
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => 1936
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => 624
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => 384
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => 704
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 432
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => 1900
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 1672
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 1496
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 1320
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => 3196
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 856
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 1108
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 680
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 2464
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 704
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 528
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => 2140
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 288
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => 144
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => 192
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => 240
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => 1360
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 1108
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => 736
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 480
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => 1636
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 932
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => 1408
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 968
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 1120
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => 536
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => 360
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 792
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => 456
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => 312
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => 4152
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 1992
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 1160
([(2,6),(3,4),(3,5)],7)                                                       => 10020
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => 9040
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 4152
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 2504
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => 1376
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 992
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 2520
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 632
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => 1560
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => 1176
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => 2948
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 2092
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 456
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 1108
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => 932
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 832
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 632
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => 1988
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => 1668
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => 948
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 772
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => 1108
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 1348
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => 860
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 684
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 1196
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => 860
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 3296
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 1648
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => 7880
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => 7372
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 3536
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => 2120
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => 2504
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 1760
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 1988
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 1532
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 2768
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => 6606
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => 6306
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 2152
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 4304
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => 1680
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => 3360
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 1408
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 2816
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 1232
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 2464
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 3068
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 1948
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 1460
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 1200
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 2416
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 1208
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 5008
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => 1472
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => 1888
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 480
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 3904
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => 960
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => 1584
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 352
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 3272
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => 704
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => 1888
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 832
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => 1056
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => 1760
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => 2416
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 1216
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => 1280
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => 2160

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Created: Jul 08, 2022 at 20:41 by Martin Rubey

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Last Updated: Jul 08, 2022 at 20:41 by Martin Rubey