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- Sat Aug 29 12:48:09 2026
- Sat Aug 29 12:48:09 2026
- Sat Aug 29 12:48:09 2026 Msieve v. 1.54 (SVN unknown)
- Sat Aug 29 12:48:09 2026 random seeds: 1197bac7 f0338401
- Sat Aug 29 12:48:09 2026 Using 8 OpenMP threads
- Sat Aug 29 12:48:09 2026 factoring 487194235408152413570165593274858991373630557809569325113298240802570822909586783530693795469461234000283656160276203500867335713087137506498238988613399997710305860768597988367899882133009 (189 digits)
- Sat Aug 29 12:48:09 2026 no P-1/P+1/ECM available, skipping
- Sat Aug 29 12:48:09 2026 commencing number field sieve (189-digit input)
- Sat Aug 29 12:48:09 2026 R0: -3577315645760313198097778795589279996
- Sat Aug 29 12:48:09 2026 R1: 71075497734513268579633
- Sat Aug 29 12:48:09 2026 A0: 168191854605210811651402817233761188075787625
- Sat Aug 29 12:48:09 2026 A1: 21610433970154320500126660444578704066
- Sat Aug 29 12:48:09 2026 A2: -549702790160240821627969038100
- Sat Aug 29 12:48:09 2026 A3: -10412923781029086738450
- Sat Aug 29 12:48:09 2026 A4: 130152079571211
- Sat Aug 29 12:48:09 2026 A5: 831600
- Sat Aug 29 12:48:09 2026 skew 52563308.26, size 2.474e-18, alpha -6.896, combined = 3.094e-14 rroots = 5
- Sat Aug 29 12:48:09 2026
- Sat Aug 29 12:48:09 2026 commencing relation filtering
- Sat Aug 29 12:48:09 2026 setting 3 target densities:Sat Aug 29 12:48:09 2026 80Sat Aug 29 12:48:09 2026 100Sat Aug 29 12:48:09 2026 120Sat Aug 29 12:48:09 2026
- Sat Aug 29 12:48:09 2026 estimated available RAM is 78540.1 MB
- Sat Aug 29 12:48:09 2026 commencing duplicate removal, pass 1
- Sat Aug 29 12:48:44 2026 error -1 reading relation 14566210
- Sat Aug 29 12:48:52 2026 error -1 reading relation 17593015
- Sat Aug 29 12:49:40 2026 error -1 reading relation 47944881
- Sat Aug 29 12:50:01 2026 error -6 reading relation 67742942
- Sat Aug 29 12:50:12 2026 error -1 reading relation 78820286
- Sat Aug 29 12:50:23 2026 error -1 reading relation 88492913
- Sat Aug 29 12:51:50 2026 error -15 reading relation 126492631
- Sat Aug 29 12:52:03 2026 error -1 reading relation 134872743
- Sat Aug 29 12:52:08 2026 error -1 reading relation 137414390
- Sat Aug 29 12:52:22 2026 error -1 reading relation 144090069
- Sat Aug 29 12:52:24 2026 error -1 reading relation 144951544
- Sat Aug 29 12:52:24 2026 error -1 reading relation 144962463
- Sat Aug 29 12:52:26 2026 error -1 reading relation 145644361
- Sat Aug 29 12:53:06 2026 error -1 reading relation 162919660
- Sat Aug 29 12:53:26 2026 error -1 reading relation 171405976
- Sat Aug 29 12:53:27 2026 error -1 reading relation 171613487
- Sat Aug 29 12:53:28 2026 error -15 reading relation 171963385
- Sat Aug 29 12:53:29 2026 error -1 reading relation 172378644
- Sat Aug 29 12:54:00 2026 error -1 reading relation 185529538
- Sat Aug 29 12:54:00 2026 error -1 reading relation 185538733
- Sat Aug 29 12:54:47 2026 error -1 reading relation 206361071
- Sat Aug 29 12:54:59 2026 error -1 reading relation 211134931
- Sat Aug 29 12:55:00 2026 error -1 reading relation 211776046
- Sat Aug 29 12:55:23 2026 error -1 reading relation 221562679
- Sat Aug 29 12:55:28 2026 error -1 reading relation 223887932
- Sat Aug 29 12:55:29 2026 error -11 reading relation 224129766
- Sat Aug 29 12:55:48 2026 error -1 reading relation 231959658
- Sat Aug 29 12:55:49 2026 error -1 reading relation 232130317
- Sat Aug 29 12:55:49 2026 error -1 reading relation 232980356
- Sat Aug 29 12:56:21 2026 error -1 reading relation 246659566
- Sat Aug 29 12:56:21 2026 error -1 reading relation 246819251
- Sat Aug 29 12:57:21 2026 error -1 reading relation 271688143
- Sat Aug 29 12:57:44 2026 error -1 reading relation 281737841
- Sat Aug 29 12:58:14 2026 error -1 reading relation 293289361
- Sat Aug 29 12:58:44 2026 error -1 reading relation 305018855
- Sat Aug 29 12:59:45 2026 error -1 reading relation 329053367
- Sat Aug 29 13:00:02 2026 error -1 reading relation 335775325
- Sat Aug 29 13:00:07 2026 error -1 reading relation 337677311
- Sat Aug 29 13:00:26 2026 error -1 reading relation 345354890
- Sat Aug 29 13:00:30 2026 error -1 reading relation 346546519
- Sat Aug 29 13:00:55 2026 error -1 reading relation 355779207
- Sat Aug 29 13:00:56 2026 error -1 reading relation 356169827
- Sat Aug 29 13:01:00 2026 error -1 reading relation 358450548
- Sat Aug 29 13:01:04 2026 error -1 reading relation 359649269
- Sat Aug 29 13:01:04 2026 error -1 reading relation 359935455
- Sat Aug 29 13:01:05 2026 error -1 reading relation 360282908
- Sat Aug 29 13:01:13 2026 error -1 reading relation 363148469
- Sat Aug 29 13:01:16 2026 error -1 reading relation 364339484
- Sat Aug 29 13:01:19 2026 error -1 reading relation 365623799
- Sat Aug 29 13:01:46 2026 error -1 reading relation 376971658
- Sat Aug 29 13:01:54 2026 error -1 reading relation 380135604
- Sat Aug 29 13:01:54 2026 error -1 reading relation 380142650
- Sat Aug 29 13:01:59 2026 error -1 reading relation 382661883
- Sat Aug 29 13:02:09 2026 error -1 reading relation 386460454
- Sat Aug 29 13:02:15 2026 error -1 reading relation 388957679
- Sat Aug 29 13:02:21 2026 error -1 reading relation 391300779
- Sat Aug 29 13:02:21 2026 error -1 reading relation 391310052
- Sat Aug 29 13:02:28 2026 error -1 reading relation 394462820
- Sat Aug 29 13:02:28 2026 error -1 reading relation 394593589
- Sat Aug 29 13:02:36 2026 error -1 reading relation 397692116
- Sat Aug 29 13:02:45 2026 error -1 reading relation 401534373
- Sat Aug 29 13:02:45 2026 error -1 reading relation 401536693
- Sat Aug 29 13:02:46 2026 error -1 reading relation 401906388
- Sat Aug 29 13:02:56 2026 error -1 reading relation 405870792
- Sat Aug 29 13:03:12 2026 error -1 reading relation 413290351
- Sat Aug 29 13:03:15 2026 error -1 reading relation 414405477
- Sat Aug 29 13:03:32 2026 error -1 reading relation 422030162
- Sat Aug 29 13:04:11 2026 error -1 reading relation 438682246
- Sat Aug 29 13:04:17 2026 error -1 reading relation 441334753
- Sat Aug 29 13:04:20 2026 error -1 reading relation 442630221
- Sat Aug 29 13:04:33 2026 error -1 reading relation 448316664
- Sat Aug 29 13:04:38 2026 error -1 reading relation 450482453
- Sat Aug 29 13:04:47 2026 error -1 reading relation 454295567
- Sat Aug 29 13:04:56 2026 error -1 reading relation 457985665
- Sat Aug 29 13:04:59 2026 error -1 reading relation 459096798
- Sat Aug 29 13:05:10 2026 error -1 reading relation 464567888
- Sat Aug 29 13:05:10 2026 error -1 reading relation 464606421
- Sat Aug 29 13:05:24 2026 error -1 reading relation 470755092
- Sat Aug 29 13:05:32 2026 error -1 reading relation 478098087
- Sat Aug 29 13:05:35 2026 error -1 reading relation 482114317
- Sat Aug 29 13:05:35 2026 error -1 reading relation 482881858
- Sat Aug 29 13:05:36 2026 error -1 reading relation 483767612
- Sat Aug 29 13:05:40 2026 error -1 reading relation 486935355
- Sat Aug 29 13:05:40 2026 error -1 reading relation 487253280
- Sat Aug 29 13:06:01 2026 error -1 reading relation 497239888
- Sat Aug 29 13:06:05 2026 error -1 reading relation 499491474
- Sat Aug 29 13:06:05 2026 error -1 reading relation 499783440
- Sat Aug 29 13:06:13 2026 error -1 reading relation 503103429
- Sat Aug 29 13:06:23 2026 error -1 reading relation 507255934
- Sat Aug 29 13:06:34 2026 error -1 reading relation 511651467
- Sat Aug 29 13:06:39 2026 error -1 reading relation 514325835
- Sat Aug 29 13:06:39 2026 error -1 reading relation 514371680
- Sat Aug 29 13:06:43 2026 error -1 reading relation 516046164
- Sat Aug 29 13:06:44 2026 error -1 reading relation 516197623
- Sat Aug 29 13:06:50 2026 error -1 reading relation 518803970
- Sat Aug 29 13:06:57 2026 error -1 reading relation 521901736
- Sat Aug 29 13:07:00 2026 error -1 reading relation 522999614
- Sat Aug 29 13:07:02 2026 error -1 reading relation 523852261
- Sat Aug 29 13:07:03 2026 error -1 reading relation 524310574
- Sat Aug 29 13:07:04 2026 error -1 reading relation 525299792
- Sat Aug 29 13:07:14 2026 error -1 reading relation 529140987
- Sat Aug 29 13:07:15 2026 error -1 reading relation 529829938
- Sat Aug 29 13:07:19 2026 error -15 reading relation 531575744
- Sat Aug 29 13:07:33 2026 error -15 reading relation 536992305
- Sat Aug 29 13:07:36 2026 error -1 reading relation 539020015
- Sat Aug 29 13:07:49 2026 error -1 reading relation 544544810
- Sat Aug 29 13:07:49 2026 error -1 reading relation 544596594
- Sat Aug 29 13:07:50 2026 error -1 reading relation 544790993
- Sat Aug 29 13:08:00 2026 error -15 reading relation 548751422
- Sat Aug 29 13:08:00 2026 error -6 reading relation 548751423
- Sat Aug 29 13:08:05 2026 error -1 reading relation 551627571
- Sat Aug 29 13:08:06 2026 error -1 reading relation 552246982
- Sat Aug 29 13:08:08 2026 error -1 reading relation 552713075
- Sat Aug 29 13:08:08 2026 error -1 reading relation 553068557
- Sat Aug 29 13:08:10 2026 error -1 reading relation 553843110
- Sat Aug 29 13:08:27 2026 error -1 reading relation 560471374
- Sat Aug 29 13:08:29 2026 error -1 reading relation 561336758
- Sat Aug 29 13:08:31 2026 error -1 reading relation 562474414
- Sat Aug 29 13:08:40 2026 error -11 reading relation 566495522
- Sat Aug 29 13:08:48 2026 error -1 reading relation 569938239
- Sat Aug 29 13:08:48 2026 error -1 reading relation 570141305
- Sat Aug 29 13:08:50 2026 error -1 reading relation 570755877
- Sat Aug 29 13:08:54 2026 error -1 reading relation 572325736
- Sat Aug 29 13:08:56 2026 error -11 reading relation 573326672
- Sat Aug 29 13:09:21 2026 error -1 reading relation 584238591
- Sat Aug 29 13:09:39 2026 error -1 reading relation 592401796
- Sat Aug 29 13:09:56 2026 error -1 reading relation 599328321
- Sat Aug 29 13:10:02 2026 error -1 reading relation 601938157
- Sat Aug 29 13:10:03 2026 error -1 reading relation 602249181
- Sat Aug 29 13:10:06 2026 error -1 reading relation 603392535
- Sat Aug 29 13:10:07 2026 error -1 reading relation 603723036
- Sat Aug 29 13:10:10 2026 error -1 reading relation 605652739
- Sat Aug 29 13:10:10 2026 error -1 reading relation 605812556
- Sat Aug 29 13:10:12 2026 error -1 reading relation 606459619
- Sat Aug 29 13:10:18 2026 error -1 reading relation 608966092
- Sat Aug 29 13:10:21 2026 error -1 reading relation 610463453
- Sat Aug 29 13:10:24 2026 error -1 reading relation 611556400
- Sat Aug 29 13:10:28 2026 error -1 reading relation 613346266
- Sat Aug 29 13:10:53 2026 error -1 reading relation 624173573
- Sat Aug 29 13:11:03 2026 error -1 reading relation 628406022
- Sat Aug 29 13:11:04 2026 error -1 reading relation 628835580
- Sat Aug 29 13:11:12 2026 error -1 reading relation 632776620
- Sat Aug 29 13:11:18 2026 error -1 reading relation 635387978
- Sat Aug 29 13:11:29 2026 error -1 reading relation 639867607
- Sat Aug 29 13:11:29 2026 error -1 reading relation 639870763
- Sat Aug 29 13:11:31 2026 error -1 reading relation 640774844
- Sat Aug 29 13:11:35 2026 skipped 2 relations with b > 2^32
- Sat Aug 29 13:11:35 2026 skipped 5 relations with composite factors
- Sat Aug 29 13:11:35 2026 skipped 1005 malformed relations
- Sat Aug 29 13:11:35 2026 found 133580206 hash collisions in 642515509 relations
- Sat Aug 29 13:11:48 2026 added 121486 free relations
- Sat Aug 29 13:11:48 2026 commencing duplicate removal, pass 2
- Sat Aug 29 13:19:39 2026 found 143164341 duplicates and 499472654 unique relations
- Sat Aug 29 13:19:39 2026 memory use: 3411.0 MB
- Sat Aug 29 13:19:39 2026 reading ideals above 272564224
- Sat Aug 29 13:19:39 2026 commencing singleton removal, initial pass
- Sat Aug 29 13:39:05 2026 memory use: 11024.0 MB
- Sat Aug 29 13:39:06 2026 reading all ideals from disk
- Sat Aug 29 13:39:11 2026 memory use: 13221.4 MB
- Sat Aug 29 13:39:24 2026 commencing in-memory singleton removal
- Sat Aug 29 13:39:28 2026 begin with 499472654 relations and 452758023 unique ideals
- Sat Aug 29 13:39:57 2026 reduce to 294627399 relations and 224760674 ideals in 17 passes
- Sat Aug 29 13:39:57 2026 max relations containing the same ideal: 30
- Sat Aug 29 13:40:04 2026 reading ideals above 720000
- Sat Aug 29 13:40:04 2026 commencing singleton removal, initial pass
- Sat Aug 29 13:53:19 2026 memory use: 6024.0 MB
- Sat Aug 29 13:53:19 2026 reading all ideals from disk
- Sat Aug 29 13:53:25 2026 memory use: 14679.6 MB
- Sat Aug 29 13:53:40 2026 keeping 252943823 ideals with weight <= 200, target excess is 1500672
- Sat Aug 29 13:54:02 2026 commencing in-memory singleton removal
- Sat Aug 29 13:54:07 2026 begin with 294627399 relations and 252943823 unique ideals
- Sat Aug 29 13:54:27 2026 reduce to 294616790 relations and 252933214 ideals in 8 passes
- Sat Aug 29 13:54:27 2026 max relations containing the same ideal: 200
- Sat Aug 29 13:55:42 2026 removing 16159105 relations and 14159105 ideals in 2000000 cliques
- Sat Aug 29 13:55:48 2026 commencing in-memory singleton removal
- Sat Aug 29 13:55:52 2026 begin with 278457685 relations and 252933214 unique ideals
- Sat Aug 29 13:56:14 2026 reduce to 277743883 relations and 238053221 ideals in 10 passes
- Sat Aug 29 13:56:14 2026 max relations containing the same ideal: 199
- Sat Aug 29 13:57:25 2026 removing 12077211 relations and 10077211 ideals in 2000000 cliques
- Sat Aug 29 13:57:30 2026 commencing in-memory singleton removal
- Sat Aug 29 13:57:34 2026 begin with 265666672 relations and 238053221 unique ideals
- Sat Aug 29 13:57:50 2026 reduce to 265226084 relations and 227531943 ideals in 8 passes
- Sat Aug 29 13:57:50 2026 max relations containing the same ideal: 195
- Sat Aug 29 13:58:58 2026 removing 10781046 relations and 8781046 ideals in 2000000 cliques
- Sat Aug 29 13:59:02 2026 commencing in-memory singleton removal
- Sat Aug 29 13:59:05 2026 begin with 254445038 relations and 227531943 unique ideals
- Sat Aug 29 13:59:21 2026 reduce to 254074832 relations and 218377898 ideals in 8 passes
- Sat Aug 29 13:59:21 2026 max relations containing the same ideal: 193
- Sat Aug 29 14:00:26 2026 removing 10072642 relations and 8072642 ideals in 2000000 cliques
- Sat Aug 29 14:00:30 2026 commencing in-memory singleton removal
- Sat Aug 29 14:00:34 2026 begin with 244002190 relations and 218377898 unique ideals
- Sat Aug 29 14:00:49 2026 reduce to 243662020 relations and 209962459 ideals in 8 passes
- Sat Aug 29 14:00:49 2026 max relations containing the same ideal: 190
- Sat Aug 29 14:01:52 2026 removing 9607966 relations and 7607966 ideals in 2000000 cliques
- Sat Aug 29 14:01:55 2026 commencing in-memory singleton removal
- Sat Aug 29 14:01:59 2026 begin with 234054054 relations and 209962459 unique ideals
- Sat Aug 29 14:02:13 2026 reduce to 233731569 relations and 202029534 ideals in 8 passes
- Sat Aug 29 14:02:13 2026 max relations containing the same ideal: 182
- Sat Aug 29 14:03:13 2026 removing 9283736 relations and 7283736 ideals in 2000000 cliques
- Sat Aug 29 14:03:17 2026 commencing in-memory singleton removal
- Sat Aug 29 14:03:20 2026 begin with 224447833 relations and 202029534 unique ideals
- Sat Aug 29 14:03:33 2026 reduce to 224133238 relations and 194428714 ideals in 7 passes
- Sat Aug 29 14:03:33 2026 max relations containing the same ideal: 180
- Sat Aug 29 14:04:31 2026 removing 9044189 relations and 7044189 ideals in 2000000 cliques
- Sat Aug 29 14:04:34 2026 commencing in-memory singleton removal
- Sat Aug 29 14:04:37 2026 begin with 215089049 relations and 194428714 unique ideals
- Sat Aug 29 14:04:51 2026 reduce to 214780983 relations and 187073829 ideals in 9 passes
- Sat Aug 29 14:04:51 2026 max relations containing the same ideal: 175
- Sat Aug 29 14:05:47 2026 removing 8862350 relations and 6862350 ideals in 2000000 cliques
- Sat Aug 29 14:05:50 2026 commencing in-memory singleton removal
- Sat Aug 29 14:05:53 2026 begin with 205918633 relations and 187073829 unique ideals
- Sat Aug 29 14:06:05 2026 reduce to 205609961 relations and 179900213 ideals in 7 passes
- Sat Aug 29 14:06:05 2026 max relations containing the same ideal: 171
- Sat Aug 29 14:06:58 2026 removing 8728085 relations and 6728085 ideals in 2000000 cliques
- Sat Aug 29 14:07:02 2026 commencing in-memory singleton removal
- Sat Aug 29 14:07:05 2026 begin with 196881876 relations and 179900213 unique ideals
- Sat Aug 29 14:07:17 2026 reduce to 196570423 relations and 172857864 ideals in 9 passes
- Sat Aug 29 14:07:17 2026 max relations containing the same ideal: 166
- Sat Aug 29 14:08:09 2026 removing 8628778 relations and 6628778 ideals in 2000000 cliques
- Sat Aug 29 14:08:12 2026 commencing in-memory singleton removal
- Sat Aug 29 14:08:15 2026 begin with 187941645 relations and 172857864 unique ideals
- Sat Aug 29 14:08:27 2026 reduce to 187622533 relations and 165907063 ideals in 8 passes
- Sat Aug 29 14:08:27 2026 max relations containing the same ideal: 160
- Sat Aug 29 14:09:18 2026 removing 8556259 relations and 6556259 ideals in 2000000 cliques
- Sat Aug 29 14:09:19 2026 commencing in-memory singleton removal
- Sat Aug 29 14:09:22 2026 begin with 179066274 relations and 165907063 unique ideals
- Sat Aug 29 14:09:32 2026 reduce to 178739453 relations and 159020912 ideals in 7 passes
- Sat Aug 29 14:09:32 2026 max relations containing the same ideal: 157
- Sat Aug 29 14:10:21 2026 removing 8506134 relations and 6506134 ideals in 2000000 cliques
- Sat Aug 29 14:10:22 2026 commencing in-memory singleton removal
- Sat Aug 29 14:10:24 2026 begin with 170233319 relations and 159020912 unique ideals
- Sat Aug 29 14:10:35 2026 reduce to 169894242 relations and 152172288 ideals in 7 passes
- Sat Aug 29 14:10:35 2026 max relations containing the same ideal: 149
- Sat Aug 29 14:11:21 2026 removing 8483154 relations and 6483154 ideals in 2000000 cliques
- Sat Aug 29 14:11:22 2026 commencing in-memory singleton removal
- Sat Aug 29 14:11:24 2026 begin with 161411088 relations and 152172288 unique ideals
- Sat Aug 29 14:11:35 2026 reduce to 161057234 relations and 145331632 ideals in 8 passes
- Sat Aug 29 14:11:35 2026 max relations containing the same ideal: 144
- Sat Aug 29 14:12:19 2026 removing 8483037 relations and 6483037 ideals in 2000000 cliques
- Sat Aug 29 14:12:22 2026 commencing in-memory singleton removal
- Sat Aug 29 14:12:22 2026 begin with 152574197 relations and 145331632 unique ideals
- Sat Aug 29 14:12:33 2026 reduce to 152201506 relations and 138471947 ideals in 9 passes
- Sat Aug 29 14:12:33 2026 max relations containing the same ideal: 138
- Sat Aug 29 14:13:16 2026 removing 8497222 relations and 6497222 ideals in 2000000 cliques
- Sat Aug 29 14:13:19 2026 commencing in-memory singleton removal
- Sat Aug 29 14:13:21 2026 begin with 143704284 relations and 138471947 unique ideals
- Sat Aug 29 14:13:28 2026 reduce to 143307018 relations and 131573018 ideals in 8 passes
- Sat Aug 29 14:13:28 2026 max relations containing the same ideal: 134
- Sat Aug 29 14:14:08 2026 removing 8535749 relations and 6535749 ideals in 2000000 cliques
- Sat Aug 29 14:14:10 2026 commencing in-memory singleton removal
- Sat Aug 29 14:14:12 2026 begin with 134771269 relations and 131573018 unique ideals
- Sat Aug 29 14:14:20 2026 reduce to 134344682 relations and 124605467 ideals in 7 passes
- Sat Aug 29 14:14:20 2026 max relations containing the same ideal: 129
- Sat Aug 29 14:14:55 2026 removing 8597175 relations and 6597175 ideals in 2000000 cliques
- Sat Aug 29 14:14:58 2026 commencing in-memory singleton removal
- Sat Aug 29 14:14:59 2026 begin with 125747507 relations and 124605467 unique ideals
- Sat Aug 29 14:15:07 2026 reduce to 125286507 relations and 117541401 ideals in 7 passes
- Sat Aug 29 14:15:07 2026 max relations containing the same ideal: 123
- Sat Aug 29 14:15:43 2026 removing 8681135 relations and 6681135 ideals in 2000000 cliques
- Sat Aug 29 14:15:45 2026 commencing in-memory singleton removal
- Sat Aug 29 14:15:47 2026 begin with 116605372 relations and 117541401 unique ideals
- Sat Aug 29 14:15:55 2026 reduce to 116098471 relations and 110346367 ideals in 8 passes
- Sat Aug 29 14:15:55 2026 max relations containing the same ideal: 118
- Sat Aug 29 14:16:26 2026 removing 8794788 relations and 6794788 ideals in 2000000 cliques
- Sat Aug 29 14:16:29 2026 commencing in-memory singleton removal
- Sat Aug 29 14:16:30 2026 begin with 107303683 relations and 110346367 unique ideals
- Sat Aug 29 14:16:38 2026 reduce to 106736837 relations and 102976343 ideals in 9 passes
- Sat Aug 29 14:16:38 2026 max relations containing the same ideal: 114
- Sat Aug 29 14:17:08 2026 removing 8938485 relations and 6938485 ideals in 2000000 cliques
- Sat Aug 29 14:17:11 2026 commencing in-memory singleton removal
- Sat Aug 29 14:17:12 2026 begin with 97798352 relations and 102976343 unique ideals
- Sat Aug 29 14:17:18 2026 reduce to 97156349 relations and 95385801 ideals in 8 passes
- Sat Aug 29 14:17:18 2026 max relations containing the same ideal: 103
- Sat Aug 29 14:17:46 2026 removing 266167 relations and 236399 ideals in 29768 cliques
- Sat Aug 29 14:17:48 2026 commencing in-memory singleton removal
- Sat Aug 29 14:17:49 2026 begin with 96890182 relations and 95385801 unique ideals
- Sat Aug 29 14:17:53 2026 reduce to 96889723 relations and 95148943 ideals in 5 passes
- Sat Aug 29 14:17:53 2026 max relations containing the same ideal: 103
- Sat Aug 29 14:17:55 2026 trying target density 80
- Sat Aug 29 14:18:00 2026 relations with 0 large ideals: 5566
- Sat Aug 29 14:18:00 2026 relations with 1 large ideals: 17839
- Sat Aug 29 14:18:00 2026 relations with 2 large ideals: 294349
- Sat Aug 29 14:18:00 2026 relations with 3 large ideals: 2087656
- Sat Aug 29 14:18:00 2026 relations with 4 large ideals: 8012154
- Sat Aug 29 14:18:00 2026 relations with 5 large ideals: 18353340
- Sat Aug 29 14:18:00 2026 relations with 6 large ideals: 26241096
- Sat Aug 29 14:18:00 2026 relations with 7+ large ideals: 41877723
- Sat Aug 29 14:18:00 2026 commencing 2-way merge
- Sat Aug 29 14:18:46 2026 reduce to 59100986 relation sets and 57360206 unique ideals
- Sat Aug 29 14:18:46 2026 commencing full merge
- Sat Aug 29 14:28:45 2026 memory use: 6636.1 MB
- Sat Aug 29 14:28:50 2026 found 30572735 cycles, need 30334406
- Sat Aug 29 14:28:58 2026 weight of 30334406 cycles is about 2426944660 (80.01/cycle)
- Sat Aug 29 14:28:58 2026 distribution of cycle lengths:
- Sat Aug 29 14:28:58 2026 1 relations: 3873851
- Sat Aug 29 14:28:58 2026 2 relations: 3415961
- Sat Aug 29 14:28:58 2026 3 relations: 3413878
- Sat Aug 29 14:28:58 2026 4 relations: 3181485
- Sat Aug 29 14:28:58 2026 5 relations: 2989363
- Sat Aug 29 14:28:58 2026 6 relations: 2685115
- Sat Aug 29 14:28:58 2026 7 relations: 2400531
- Sat Aug 29 14:28:58 2026 8 relations: 2051187
- Sat Aug 29 14:28:58 2026 9 relations: 1677986
- Sat Aug 29 14:28:58 2026 10+ relations: 4645049
- Sat Aug 29 14:28:58 2026 heaviest cycle: 20 relations
- Sat Aug 29 14:29:01 2026 commencing cycle optimization
- Sat Aug 29 14:29:46 2026 start with 168670686 relations
- Sat Aug 29 14:32:51 2026 pruned 3843489 relations
- Sat Aug 29 14:32:54 2026 memory use: 5681.0 MB
- Sat Aug 29 14:32:54 2026 distribution of cycle lengths:
- Sat Aug 29 14:32:54 2026 1 relations: 3873851
- Sat Aug 29 14:32:54 2026 2 relations: 3491427
- Sat Aug 29 14:32:54 2026 3 relations: 3526065
- Sat Aug 29 14:32:54 2026 4 relations: 3255390
- Sat Aug 29 14:32:54 2026 5 relations: 3062246
- Sat Aug 29 14:32:54 2026 6 relations: 2731562
- Sat Aug 29 14:32:54 2026 7 relations: 2430372
- Sat Aug 29 14:32:54 2026 8 relations: 2052184
- Sat Aug 29 14:32:54 2026 9 relations: 1658712
- Sat Aug 29 14:32:54 2026 10+ relations: 4252597
- Sat Aug 29 14:32:54 2026 heaviest cycle: 20 relations
- Sat Aug 29 14:35:50 2026 trying target density 100
- Sat Aug 29 14:35:57 2026 relations with 0 large ideals: 5566
- Sat Aug 29 14:35:57 2026 relations with 1 large ideals: 17839
- Sat Aug 29 14:35:57 2026 relations with 2 large ideals: 294349
- Sat Aug 29 14:35:57 2026 relations with 3 large ideals: 2087656
- Sat Aug 29 14:35:57 2026 relations with 4 large ideals: 8012154
- Sat Aug 29 14:35:57 2026 relations with 5 large ideals: 18353340
- Sat Aug 29 14:35:57 2026 relations with 6 large ideals: 26241096
- Sat Aug 29 14:35:57 2026 relations with 7+ large ideals: 41877723
- Sat Aug 29 14:35:57 2026 commencing 2-way merge
- Sat Aug 29 14:37:16 2026 reduce to 59100986 relation sets and 57360206 unique ideals
- Sat Aug 29 14:37:16 2026 commencing full merge
- Sat Aug 29 14:53:26 2026 memory use: 6823.7 MB
- Sat Aug 29 14:53:31 2026 found 28104596 cycles, need 27894406
- Sat Aug 29 14:53:52 2026 weight of 27894406 cycles is about 2789644178 (100.01/cycle)
- Sat Aug 29 14:53:52 2026 distribution of cycle lengths:
- Sat Aug 29 14:53:52 2026 1 relations: 2813907
- Sat Aug 29 14:53:52 2026 2 relations: 2503898
- Sat Aug 29 14:53:52 2026 3 relations: 2522746
- Sat Aug 29 14:53:52 2026 4 relations: 2378391
- Sat Aug 29 14:53:52 2026 5 relations: 2321951
- Sat Aug 29 14:53:52 2026 6 relations: 2220556
- Sat Aug 29 14:53:52 2026 7 relations: 2063194
- Sat Aug 29 14:53:52 2026 8 relations: 1877538
- Sat Aug 29 14:53:52 2026 9 relations: 1698461
- Sat Aug 29 14:53:52 2026 10+ relations: 7493764
- Sat Aug 29 14:53:52 2026 heaviest cycle: 25 relations
- Sat Aug 29 14:53:58 2026 commencing cycle optimization
- Sat Aug 29 14:56:29 2026 start with 193303148 relations
- Sat Aug 29 15:04:58 2026 pruned 5884350 relations
- Sat Aug 29 15:05:02 2026 memory use: 5938.0 MB
- Sat Aug 29 15:05:02 2026 distribution of cycle lengths:
- Sat Aug 29 15:05:02 2026 1 relations: 2813907
- Sat Aug 29 15:05:02 2026 2 relations: 2564610
- Sat Aug 29 15:05:02 2026 3 relations: 2614850
- Sat Aug 29 15:05:02 2026 4 relations: 2450759
- Sat Aug 29 15:05:02 2026 5 relations: 2402618
- Sat Aug 29 15:05:02 2026 6 relations: 2280066
- Sat Aug 29 15:05:02 2026 7 relations: 2120216
- Sat Aug 29 15:05:02 2026 8 relations: 1918856
- Sat Aug 29 15:05:02 2026 9 relations: 1724435
- Sat Aug 29 15:05:02 2026 10+ relations: 7004089
- Sat Aug 29 15:05:02 2026 heaviest cycle: 25 relations
- Sat Aug 29 15:06:12 2026 trying target density 120
- Sat Aug 29 15:06:20 2026 relations with 0 large ideals: 5566
- Sat Aug 29 15:06:20 2026 relations with 1 large ideals: 17839
- Sat Aug 29 15:06:20 2026 relations with 2 large ideals: 294349
- Sat Aug 29 15:06:20 2026 relations with 3 large ideals: 2087656
- Sat Aug 29 15:06:20 2026 relations with 4 large ideals: 8012154
- Sat Aug 29 15:06:20 2026 relations with 5 large ideals: 18353340
- Sat Aug 29 15:06:20 2026 relations with 6 large ideals: 26241096
- Sat Aug 29 15:06:20 2026 relations with 7+ large ideals: 41877723
- Sat Aug 29 15:06:20 2026 commencing 2-way merge
- Sat Aug 29 15:07:18 2026 reduce to 59100986 relation sets and 57360206 unique ideals
- Sat Aug 29 15:07:18 2026 commencing full merge
- Sat Aug 29 15:23:57 2026 memory use: 6962.2 MB
- Sat Aug 29 15:24:11 2026 found 26288426 cycles, need 26204406
- Sat Aug 29 15:24:24 2026 weight of 26204406 cycles is about 3145097428 (120.02/cycle)
- Sat Aug 29 15:24:24 2026 distribution of cycle lengths:
- Sat Aug 29 15:24:24 2026 1 relations: 2132386
- Sat Aug 29 15:24:24 2026 2 relations: 1958757
- Sat Aug 29 15:24:24 2026 3 relations: 1972546
- Sat Aug 29 15:24:24 2026 4 relations: 1910708
- Sat Aug 29 15:24:24 2026 5 relations: 1873456
- Sat Aug 29 15:24:24 2026 6 relations: 1834073
- Sat Aug 29 15:24:24 2026 7 relations: 1734427
- Sat Aug 29 15:24:24 2026 8 relations: 1664711
- Sat Aug 29 15:24:24 2026 9 relations: 1554112
- Sat Aug 29 15:24:24 2026 10+ relations: 9569230
- Sat Aug 29 15:24:24 2026 heaviest cycle: 28 relations
- Sat Aug 29 15:24:30 2026 commencing cycle optimization
- Sat Aug 29 15:25:27 2026 start with 217122307 relations
- Sat Aug 29 15:32:40 2026 pruned 8052921 relations
- Sat Aug 29 15:32:41 2026 memory use: 6181.4 MB
- Sat Aug 29 15:32:41 2026 distribution of cycle lengths:
- Sat Aug 29 15:32:41 2026 1 relations: 2132386
- Sat Aug 29 15:32:41 2026 2 relations: 2007310
- Sat Aug 29 15:32:41 2026 3 relations: 2049001
- Sat Aug 29 15:32:41 2026 4 relations: 1975636
- Sat Aug 29 15:32:41 2026 5 relations: 1949261
- Sat Aug 29 15:32:41 2026 6 relations: 1896400
- Sat Aug 29 15:32:41 2026 7 relations: 1803105
- Sat Aug 29 15:32:41 2026 8 relations: 1718843
- Sat Aug 29 15:32:41 2026 9 relations: 1602319
- Sat Aug 29 15:32:41 2026 10+ relations: 9070145
- Sat Aug 29 15:32:41 2026 heaviest cycle: 28 relations
- Sat Aug 29 15:33:16 2026 RelProcTime: 9907
- Sat Aug 29 15:33:16 2026
- Sat Aug 29 15:33:16 2026 commencing linear algebra
- Sat Aug 29 15:33:16 2026 using VBITS=256
- Sat Aug 29 15:33:16 2026 building matrices for all densities
- Sat Aug 29 15:33:16 2026 found 3 density files
- Sat Aug 29 15:33:16 2026 building matrix for density 80
- Sat Aug 29 15:33:27 2026 read 30334406 cycles
- Sat Aug 29 15:33:55 2026 cycles contain 95640719 unique relations
- Sat Aug 29 15:36:34 2026 read 95640719 relations
- Sat Aug 29 15:37:01 2026 using 20 quadratic characters above 4294917295
- Sat Aug 29 15:37:31 2026 building initial matrix
- Sat Aug 29 15:47:48 2026 memory use: 13388.1 MB
- Sat Aug 29 15:47:56 2026 read 30334406 cycles
- Sat Aug 29 15:47:58 2026 matrix is 30334225 x 30334406 (10244.0 MB) with weight 3184323683 (104.97/col)
- Sat Aug 29 15:47:58 2026 sparse part has weight 2351713381 (77.53/col)
- Sat Aug 29 15:51:08 2026 filtering completed in 2 passes
- Sat Aug 29 15:51:13 2026 matrix is 30320709 x 30320888 (10243.0 MB) with weight 3183861460 (105.01/col)
- Sat Aug 29 15:51:13 2026 sparse part has weight 2351615856 (77.56/col)
- Sat Aug 29 15:51:56 2026 building matrix for density 100
- Sat Aug 29 15:51:58 2026 read 27894406 cycles
- Sat Aug 29 15:52:31 2026 cycles contain 95687389 unique relations
- Sat Aug 29 15:54:29 2026 read 95687389 relations
- Sat Aug 29 15:54:56 2026 using 20 quadratic characters above 4294917295
- Sat Aug 29 15:55:27 2026 building initial matrix
- Sat Aug 29 16:07:02 2026 memory use: 13405.3 MB
- Sat Aug 29 16:07:09 2026 read 27894406 cycles
- Sat Aug 29 16:07:13 2026 matrix is 27894228 x 27894406 (11322.3 MB) with weight 3477597672 (124.67/col)
- Sat Aug 29 16:07:13 2026 sparse part has weight 2661231275 (95.40/col)
- Sat Aug 29 16:10:02 2026 filtering completed in 2 passes
- Sat Aug 29 16:10:07 2026 matrix is 27888421 x 27888597 (11321.8 MB) with weight 3477360779 (124.69/col)
- Sat Aug 29 16:10:07 2026 sparse part has weight 2661171426 (95.42/col)
- Sat Aug 29 16:10:53 2026 building matrix for density 120
- Sat Aug 29 16:10:55 2026 read 26204406 cycles
- Sat Aug 29 16:11:29 2026 cycles contain 95698956 unique relations
- Sat Aug 29 16:13:36 2026 read 95698956 relations
- Sat Aug 29 16:14:05 2026 using 20 quadratic characters above 4294917295
- Sat Aug 29 16:14:36 2026 building initial matrix
- Sat Aug 29 16:28:35 2026 memory use: 13373.7 MB
- Sat Aug 29 16:28:44 2026 read 26204406 cycles
- Sat Aug 29 16:28:47 2026 matrix is 26204228 x 26204406 (12385.5 MB) with weight 3765069105 (143.68/col)
- Sat Aug 29 16:28:47 2026 sparse part has weight 2958529143 (112.90/col)
- Sat Aug 29 16:31:52 2026 filtering completed in 2 passes
- Sat Aug 29 16:31:57 2026 matrix is 26202831 x 26203007 (12385.4 MB) with weight 3765006650 (143.69/col)
- Sat Aug 29 16:31:57 2026 sparse part has weight 2958513004 (112.91/col)
- Sat Aug 29 16:32:44 2026 BLanczosTime: 3568
- Sat Aug 29 16:32:44 2026 elapsed time 03:44:35
- Sun Aug 30 00:03:07 2026
- Sun Aug 30 00:03:07 2026
- Sun Aug 30 00:03:07 2026 Msieve v. 1.54 (SVN unknown)
- Sun Aug 30 00:03:07 2026 random seeds: d8908cf9 7d881385
- Sun Aug 30 00:03:07 2026 factoring 487194235408152413570165593274858991373630557809569325113298240802570822909586783530693795469461234000283656160276203500867335713087137506498238988613399997710305860768597988367899882133009 (189 digits)
- Sun Aug 30 00:03:08 2026 no P-1/P+1/ECM available, skipping
- Sun Aug 30 00:03:08 2026 commencing number field sieve (189-digit input)
- Sun Aug 30 00:03:08 2026 R0: -3577315645760313198097778795589279996
- Sun Aug 30 00:03:08 2026 R1: 71075497734513268579633
- Sun Aug 30 00:03:08 2026 A0: 168191854605210811651402817233761188075787625
- Sun Aug 30 00:03:08 2026 A1: 21610433970154320500126660444578704066
- Sun Aug 30 00:03:08 2026 A2: -549702790160240821627969038100
- Sun Aug 30 00:03:08 2026 A3: -10412923781029086738450
- Sun Aug 30 00:03:08 2026 A4: 130152079571211
- Sun Aug 30 00:03:08 2026 A5: 831600
- Sun Aug 30 00:03:08 2026 skew 52563308.26, size 2.474e-18, alpha -6.896, combined = 3.094e-14 rroots = 5
- Sun Aug 30 00:03:08 2026
- Sun Aug 30 00:03:08 2026 commencing linear algebra
- Sun Aug 30 00:03:08 2026 using VBITS=256
- Sun Aug 30 00:03:08 2026 skipping matrix build
- Sun Aug 30 00:03:16 2026 matrix starts at (0, 0)
- Sun Aug 30 00:03:20 2026 matrix is 26202831 x 26203007 (12385.4 MB) with weight 3765006650 (143.69/col)
- Sun Aug 30 00:03:20 2026 sparse part has weight 2958513004 (112.91/col)
- Sun Aug 30 00:03:20 2026 saving the first 240 matrix rows for later
- Sun Aug 30 00:03:29 2026 matrix includes 256 packed rows
- Sun Aug 30 00:03:37 2026 matrix is 26202591 x 26203007 (11371.0 MB) with weight 2712423293 (103.52/col)
- Sun Aug 30 00:03:37 2026 sparse part has weight 2561579165 (97.76/col)
- Sun Aug 30 00:03:37 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
- Sun Aug 30 00:03:37 2026 selected card has CUDA arch 12.0
- Sun Aug 30 00:03:39 2026 computed block_nnz 153761575 (L2 cache 100663296 bytes, average column weight 97.8)
- Sun Aug 30 00:03:39 2026 nonzeros per matrix block: 256000000
- Sun Aug 30 00:10:57 2026 commencing Lanczos iteration
- Sun Aug 30 00:10:59 2026 memory use: 28139.6 MB
- Sun Aug 30 00:11:27 2026 linear algebra at 0.1%, ETA 6h10m
- Sun Aug 30 00:12:06 2026 checking every 70000 dimensions, checkpointing every 4270000 dimensions
- Sun Aug 30 06:21:04 2026 lanczos halted after 102661 iterations (dim = 26202591)
- Sun Aug 30 06:23:20 2026 recovered 32 nontrivial dependencies
- Sun Aug 30 06:23:21 2026 BLanczosTime: 22813
- Sun Aug 30 06:23:21 2026 elapsed time 06:20:14
- Sun Aug 30 09:38:03 2026
- Sun Aug 30 09:38:03 2026
- Sun Aug 30 09:38:03 2026 Msieve v. 1.54 (SVN unknown)
- Sun Aug 30 09:38:03 2026 random seeds: d86d1f18 fd3d6915
- Sun Aug 30 09:38:03 2026 Using 14 OpenMP threads
- Sun Aug 30 09:38:03 2026 factoring 487194235408152413570165593274858991373630557809569325113298240802570822909586783530693795469461234000283656160276203500867335713087137506498238988613399997710305860768597988367899882133009 (189 digits)
- Sun Aug 30 09:38:03 2026 no P-1/P+1/ECM available, skipping
- Sun Aug 30 09:38:03 2026 commencing number field sieve (189-digit input)
- Sun Aug 30 09:38:03 2026 R0: -3577315645760313198097778795589279996
- Sun Aug 30 09:38:03 2026 R1: 71075497734513268579633
- Sun Aug 30 09:38:03 2026 A0: 168191854605210811651402817233761188075787625
- Sun Aug 30 09:38:03 2026 A1: 21610433970154320500126660444578704066
- Sun Aug 30 09:38:03 2026 A2: -549702790160240821627969038100
- Sun Aug 30 09:38:03 2026 A3: -10412923781029086738450
- Sun Aug 30 09:38:03 2026 A4: 130152079571211
- Sun Aug 30 09:38:03 2026 A5: 831600
- Sun Aug 30 09:38:03 2026 skew 52563308.26, size 2.474e-18, alpha -6.896, combined = 3.094e-14 rroots = 5
- Sun Aug 30 09:38:03 2026
- Sun Aug 30 09:38:03 2026 commencing square root phase
- Sun Aug 30 09:38:03 2026 reading relations for dependency 1
- Sun Aug 30 09:38:05 2026 read 13099498 cycles
- Sun Aug 30 09:38:22 2026 cycles contain 47851358 unique relations
- Sun Aug 30 09:55:55 2026 read 47851358 relations
- Sun Aug 30 09:58:29 2026 multiplying 47851358 relations
- Sun Aug 30 10:03:32 2026 multiply complete, coefficients have about 2859.60 million bits
- Sun Aug 30 10:03:37 2026 initial square root is modulo 2592287
- Sun Aug 30 10:12:55 2026 sqrtTime: 2092
- Sun Aug 30 10:12:55 2026 p88 factor: 3297883626356729893459125420173251680840150790778756331656015491815879860792410012103713
- Sun Aug 30 10:12:55 2026 p102 factor: 147729359372929229898870815341026522767850121074511703260397508272077041567111552291017914043094442993
- Sun Aug 30 10:12:55 2026 elapsed time 00:34:52
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