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Statistic identifier: St000634

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Collection: Posets

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Description: The number of endomorphisms of a poset.

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References: [1]   Prince, R. Whether a total order set of size $n$ has the fewest endomorphisms among posets of size $n$ [[MathOverflow:252899]]

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Code:
def statistic(P):
    return len(poset_endomorphisms(P))

def poset_endomorphisms(P):
    P = P.relabel()
    r = P.cardinality()
    S = cartesian_product([range(r)]*r)
    return [pi for pi in S if P.is_poset_morphism(lambda i: pi[i], P)]

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

([],2)                                                      => 4
([(0,1)],2)                                                 => 3
([],3)                                                      => 27
([(1,2)],3)                                                 => 12
([(0,1),(0,2)],3)                                           => 11
([(0,2),(2,1)],3)                                           => 10
([(0,2),(1,2)],3)                                           => 11
([],4)                                                      => 256
([(2,3)],4)                                                 => 80
([(1,2),(1,3)],4)                                           => 48
([(0,1),(0,2),(0,3)],4)                                     => 67
([(0,2),(0,3),(3,1)],4)                                     => 40
([(0,1),(0,2),(1,3),(2,3)],4)                               => 36
([(1,2),(2,3)],4)                                           => 44
([(0,3),(3,1),(3,2)],4)                                     => 40
([(1,3),(2,3)],4)                                           => 48
([(0,3),(1,3),(3,2)],4)                                     => 40
([(0,3),(1,3),(2,3)],4)                                     => 67
([(0,3),(1,2)],4)                                           => 36
([(0,3),(1,2),(1,3)],4)                                     => 31
([(0,2),(0,3),(1,2),(1,3)],4)                               => 36
([(0,3),(2,1),(3,2)],4)                                     => 35
([(0,3),(1,2),(2,3)],4)                                     => 40
([],5)                                                      => 3125
([(3,4)],5)                                                 => 750
([(2,3),(2,4)],5)                                           => 325
([(1,2),(1,3),(1,4)],5)                                     => 340
([(0,1),(0,2),(0,3),(0,4)],5)                               => 629
([(0,2),(0,3),(0,4),(4,1)],5)                               => 265
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                         => 167
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                   => 178
([(1,3),(1,4),(4,2)],5)                                     => 205
([(0,3),(0,4),(4,1),(4,2)],5)                               => 221
([(1,2),(1,3),(2,4),(3,4)],5)                               => 185
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                         => 133
([(0,3),(0,4),(3,2),(4,1)],5)                               => 141
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                         => 135
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                   => 133
([(2,3),(3,4)],5)                                           => 300
([(1,4),(4,2),(4,3)],5)                                     => 205
([(0,4),(4,1),(4,2),(4,3)],5)                               => 262
([(2,4),(3,4)],5)                                           => 325
([(1,4),(2,4),(4,3)],5)                                     => 205
([(0,4),(1,4),(4,2),(4,3)],5)                               => 145
([(1,4),(2,4),(3,4)],5)                                     => 340
([(0,4),(1,4),(2,4),(4,3)],5)                               => 262
([(0,4),(1,4),(2,4),(3,4)],5)                               => 629
([(0,4),(1,4),(2,3)],5)                                     => 128
([(0,4),(1,3),(2,3),(2,4)],5)                               => 99
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                         => 145
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                   => 197
([(0,4),(1,4),(2,3),(4,2)],5)                               => 147
([(0,4),(1,3),(2,3),(3,4)],5)                               => 221
([(0,4),(1,4),(2,3),(2,4)],5)                               => 151
([(0,4),(1,4),(2,3),(3,4)],5)                               => 265
([(1,4),(2,3)],5)                                           => 245
([(1,4),(2,3),(2,4)],5)                                     => 160
([(0,4),(1,2),(1,4),(2,3)],5)                               => 105
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                         => 135
([(1,3),(1,4),(2,3),(2,4)],5)                               => 185
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                         => 130
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                   => 133
([(0,4),(1,2),(1,4),(4,3)],5)                               => 129
([(0,4),(1,2),(1,3)],5)                                     => 128
([(0,4),(1,2),(1,3),(1,4)],5)                               => 151
([(0,2),(0,4),(3,1),(4,3)],5)                               => 155
([(0,4),(1,2),(1,3),(3,4)],5)                               => 128
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                         => 136
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                         => 167
([(0,3),(0,4),(1,2),(1,4)],5)                               => 99
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                         => 145
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                   => 197
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                         => 109
([(0,3),(1,2),(1,4),(3,4)],5)                               => 105
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                         => 130
([(1,4),(3,2),(4,3)],5)                                     => 180
([(0,3),(3,4),(4,1),(4,2)],5)                               => 147
([(1,4),(2,3),(3,4)],5)                                     => 205
([(0,4),(1,2),(2,4),(4,3)],5)                               => 154
([(0,3),(1,4),(4,2)],5)                                     => 126
([(0,4),(3,2),(4,1),(4,3)],5)                               => 154
([(0,4),(1,2),(2,3),(2,4)],5)                               => 129
([(0,4),(2,3),(3,1),(4,2)],5)                               => 126
([(0,3),(1,2),(2,4),(3,4)],5)                               => 141
([(0,4),(1,2),(2,3),(3,4)],5)                               => 155
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                         => 133
([],6)                                                      => 46656
([(4,5)],6)                                                 => 9072
([(3,4),(3,5)],6)                                           => 3024
([(2,3),(2,4),(2,5)],6)                                     => 2484
([(1,2),(1,3),(1,4),(1,5)],6)                               => 3780
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                         => 7781
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                         => 2620
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                   => 1231
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)             => 1004
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)       => 1430
([(1,3),(1,4),(1,5),(5,2)],6)                               => 1596
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                         => 1867
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                         => 1008
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 1074
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)             => 693
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                   => 579
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)             => 490
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)       => 533
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 586
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)             => 611
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)             => 650
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                   => 680
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                         => 1053
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                   => 868
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)             => 783
([(2,3),(2,4),(4,5)],6)                                     => 1512
([(1,4),(1,5),(5,2),(5,3)],6)                               => 1332
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                         => 1976
([(2,3),(2,4),(3,5),(4,5)],6)                               => 1368
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                         => 804
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                   => 517
([(1,4),(1,5),(4,3),(5,2)],6)                               => 852
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                         => 816
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                   => 804
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)             => 509
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)       => 477
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                   => 533
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                         => 801
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                   => 901
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                   => 652
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)             => 745
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)       => 824
([(3,4),(4,5)],6)                                           => 2808
([(2,3),(3,4),(3,5)],6)                                     => 1512
([(1,5),(5,2),(5,3),(5,4)],6)                               => 1578
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                         => 2558
([(2,3),(3,5),(5,4)],6)                                     => 1332
([(1,4),(4,5),(5,2),(5,3)],6)                               => 888
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                         => 1005
([(3,5),(4,5)],6)                                           => 3024
([(2,5),(3,5),(5,4)],6)                                     => 1512
([(1,5),(2,5),(5,3),(5,4)],6)                               => 876
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                         => 874
([(2,5),(3,5),(4,5)],6)                                     => 2484
([(1,5),(2,5),(3,5),(5,4)],6)                               => 1578
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                         => 874
([(1,5),(2,5),(3,5),(4,5)],6)                               => 3780
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                         => 2558
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                         => 7781
([(0,5),(1,5),(2,5),(3,4)],6)                               => 760
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                         => 1005
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                         => 1976
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                         => 1291
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                         => 2620
([(1,5),(2,5),(3,4)],6)                                     => 918
([(1,5),(2,4),(3,4),(3,5)],6)                               => 600
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                         => 406
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                   => 652
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 876
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                   => 472
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)             => 745
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 1188
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)             => 704
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)       => 824
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                   => 650
([(1,5),(2,5),(3,4),(5,3)],6)                               => 888
([(1,5),(2,4),(3,4),(4,5)],6)                               => 1332
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                         => 918
([(0,5),(1,5),(2,3),(5,4)],6)                               => 552
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                         => 555
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                         => 629
([(1,5),(2,5),(3,4),(3,5)],6)                               => 912
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                         => 763
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                         => 406
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                   => 901
([(0,5),(1,5),(2,3),(2,4)],6)                               => 400
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                         => 573
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                         => 561
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                   => 650
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                         => 560
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                         => 603
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                   => 704
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                   => 493
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                         => 709
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                   => 717
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)             => 650
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                   => 1231
([(1,5),(2,5),(3,4),(4,5)],6)                               => 1596
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                         => 1122
([(0,5),(1,5),(2,3),(3,4)],6)                               => 425
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                         => 546
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                         => 801
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                         => 581
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                   => 700
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                         => 640
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                         => 1045
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                   => 680
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)             => 693
([(0,5),(1,5),(2,4),(3,4)],6)                               => 484
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                         => 509
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 970
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                   => 692
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)             => 1167
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)       => 1782
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                         => 832
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                   => 517
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                         => 1867
([(2,5),(3,4)],6)                                           => 2304
([(2,5),(3,4),(3,5)],6)                                     => 1188
([(1,5),(2,3),(2,5),(3,4)],6)                               => 636
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                         => 561
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                   => 401
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)             => 427
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                         => 816
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                   => 556
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                         => 378
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                   => 426
([(2,4),(2,5),(3,4),(3,5)],6)                               => 1368
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                         => 786
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                   => 650
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                   => 804
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                   => 418
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)             => 427
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)       => 446
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                         => 473
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                   => 538
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)             => 529
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)             => 496
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                   => 562
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)             => 783
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                   => 396
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)             => 524
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)             => 626
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)             => 552
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                   => 471
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)             => 737
([(1,5),(2,3),(2,5),(5,4)],6)                               => 780
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                         => 629
([(1,5),(2,3),(2,4)],6)                                     => 918
([(1,5),(2,3),(2,4),(2,5)],6)                               => 912
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                         => 612
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                   => 510
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                   => 435
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)             => 611
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                         => 640
([(0,5),(1,2),(1,3),(1,4)],6)                               => 760
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 1291
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                         => 1045
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                         => 709
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                   => 717
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                   => 662
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)             => 774
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)             => 1004
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                         => 406
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                   => 472
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)             => 704
([(1,3),(1,5),(4,2),(5,4)],6)                               => 936
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                         => 832
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                         => 521
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                   => 515
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)             => 500
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                   => 475
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)             => 481
([(1,5),(2,3),(2,4),(4,5)],6)                               => 774
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                         => 581
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                         => 822
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                   => 519
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                         => 1008
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                   => 700
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                         => 418
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                   => 433
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)             => 523
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                   => 605
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                   => 605
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                   => 510
([(0,4),(1,3),(1,5),(5,2)],6)                               => 517
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                         => 963
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                         => 619
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                         => 418
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                   => 550
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                         => 504
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                   => 579
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                   => 496
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                   => 704
([(1,4),(1,5),(2,3),(2,5)],6)                               => 600
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 876
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                   => 610
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)             => 523
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 1188
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)             => 737
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)       => 502
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 586
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                   => 471
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)             => 421
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)       => 533
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                         => 499
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                         => 660
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                   => 362
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                   => 470
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)             => 481
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                         => 333
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                   => 433
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                   => 466
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)             => 373
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                   => 342
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)             => 490
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                   => 416
([(0,4),(0,5),(1,2),(1,3)],6)                               => 484
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                         => 509
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                   => 970
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                   => 513
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)             => 416
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                   => 692
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)             => 1167
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)       => 1782
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)             => 552
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                   => 418
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)             => 524
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                         => 388
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                   => 562
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)             => 496
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                   => 528
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                   => 435
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                   => 342
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)             => 421
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)       => 502
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                   => 302
([(1,4),(2,3),(2,5),(4,5)],6)                               => 636
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                         => 500
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                         => 786
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                   => 490
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)             => 509
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                         => 290
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                   => 515
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                   => 362
([(0,5),(1,3),(1,4),(5,2)],6)                               => 425
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                         => 641
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                         => 918
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                         => 406
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                   => 650
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                   => 470
([(2,5),(3,4),(4,5)],6)                                     => 1512
([(1,5),(2,3),(3,5),(5,4)],6)                               => 930
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                         => 555
([(1,3),(2,4),(4,5)],6)                                     => 900
([(1,5),(4,3),(5,2),(5,4)],6)                               => 930
([(1,5),(2,3),(3,4),(3,5)],6)                               => 780
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                         => 523
([(0,4),(1,5),(5,2),(5,3)],6)                               => 552
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                         => 1122
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                         => 763
([(1,5),(3,4),(4,2),(5,3)],6)                               => 762
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                         => 546
([(1,4),(2,3),(3,5),(4,5)],6)                               => 852
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                         => 593
([(0,5),(1,4),(4,2),(5,3)],6)                               => 400
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                         => 606
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                         => 378
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                   => 418
([(1,5),(2,3),(3,4),(4,5)],6)                               => 936
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                         => 804
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                   => 494
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                         => 606
([(0,5),(1,4),(2,3)],6)                                     => 729
([(0,5),(1,3),(2,4),(2,5)],6)                               => 390
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                         => 410
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                         => 440
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                   => 475
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                         => 388
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                   => 528
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                   => 868
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                         => 571
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                         => 619
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                         => 275
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 396
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)             => 626
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                   => 234
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)             => 417
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)       => 646
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 951
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                   => 466
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 488
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                   => 513
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                         => 410
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                   => 418
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                         => 333
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                   => 610
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                         => 440
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                   => 538
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)             => 529
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                   => 556
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                         => 612
([(0,5),(1,3),(4,2),(5,4)],6)                               => 520
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                         => 593
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                         => 500
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                   => 533
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                         => 586
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                         => 571
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                         => 462
([(0,5),(1,3),(2,4),(4,5)],6)                               => 517
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                         => 499
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                         => 586
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                         => 963
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                         => 641
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                   => 496
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                         => 521
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                   => 519
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                         => 1053

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Created: Oct 24, 2016 at 12:49 by Martin Rubey

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Last Updated: Nov 13, 2022 at 11:36 by Martin Rubey