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- Mon Oct 26 16:39:27 2026
- Mon Oct 26 16:39:27 2026
- Mon Oct 26 16:39:27 2026 Msieve v. 1.54 (SVN unknown)
- Mon Oct 26 16:39:27 2026 random seeds: fd2c55fa fba66973
- Mon Oct 26 16:39:27 2026 Using 8 OpenMP threads
- Mon Oct 26 16:39:27 2026 factoring 4871625288700920481337981295877564327842899731910392387008220997117526670696844767805709783428745874017203355923366866874884514288387873724614593638088059593041027678792336490123364876179 (187 digits)
- Mon Oct 26 16:39:27 2026 no P-1/P+1/ECM available, skipping
- Mon Oct 26 16:39:27 2026 commencing number field sieve (187-digit input)
- Mon Oct 26 16:39:27 2026 R0: -1424134667153430187071953217846488780
- Mon Oct 26 16:39:27 2026 R1: 69702037430787552807757
- Mon Oct 26 16:39:27 2026 A0: 77608067176299171760932386260974440813654547
- Mon Oct 26 16:39:27 2026 A1: -11756643351348163954696485056426712795
- Mon Oct 26 16:39:27 2026 A2: -446730374471002881867717928397
- Mon Oct 26 16:39:27 2026 A3: 21510503921929203411035
- Mon Oct 26 16:39:27 2026 A4: 160539908198010
- Mon Oct 26 16:39:27 2026 A5: 831600
- Mon Oct 26 16:39:27 2026 skew 45195866.60, size 3.607e-18, alpha -7.665, combined = 3.889e-14 rroots = 3
- Mon Oct 26 16:39:27 2026
- Mon Oct 26 16:39:27 2026 commencing relation filtering
- Mon Oct 26 16:39:27 2026 setting 3 target densities:Mon Oct 26 16:39:27 2026 90Mon Oct 26 16:39:27 2026 110Mon Oct 26 16:39:27 2026 130Mon Oct 26 16:39:27 2026
- Mon Oct 26 16:39:27 2026 estimated available RAM is 78541.8 MB
- Mon Oct 26 16:39:28 2026 commencing duplicate removal, pass 1
- Mon Oct 26 16:39:32 2026 error -1 reading relation 1053928
- Mon Oct 26 16:39:55 2026 error -1 reading relation 12933585
- Mon Oct 26 16:41:25 2026 error -1 reading relation 55104792
- Mon Oct 26 16:41:53 2026 error -15 reading relation 68129716
- Mon Oct 26 16:41:54 2026 error -11 reading relation 68600217
- Mon Oct 26 16:42:48 2026 error -1 reading relation 91402888
- Mon Oct 26 16:42:49 2026 error -1 reading relation 91474587
- Mon Oct 26 16:43:09 2026 error -1 reading relation 100628937
- Mon Oct 26 16:43:28 2026 error -1 reading relation 110279646
- Mon Oct 26 16:43:58 2026 error -1 reading relation 123034447
- Mon Oct 26 16:44:12 2026 error -1 reading relation 128356823
- Mon Oct 26 16:44:20 2026 error -1 reading relation 131390478
- Mon Oct 26 16:44:21 2026 error -1 reading relation 132907970
- Mon Oct 26 16:44:28 2026 error -1 reading relation 135427250
- Mon Oct 26 16:44:55 2026 error -1 reading relation 146508990
- Mon Oct 26 16:45:07 2026 error -1 reading relation 150834385
- Mon Oct 26 16:45:07 2026 error -1 reading relation 150834861
- Mon Oct 26 16:45:16 2026 error -1 reading relation 153962209
- Mon Oct 26 16:45:56 2026 error -15 reading relation 170567280
- Mon Oct 26 16:46:19 2026 error -1 reading relation 179717950
- Mon Oct 26 16:46:19 2026 error -1 reading relation 179725565
- Mon Oct 26 16:46:31 2026 error -1 reading relation 184034932
- Mon Oct 26 16:46:49 2026 error -1 reading relation 190800827
- Mon Oct 26 16:47:08 2026 error -1 reading relation 196832080
- Mon Oct 26 16:47:37 2026 error -15 reading relation 208694399
- Mon Oct 26 16:47:39 2026 error -1 reading relation 209426405
- Mon Oct 26 16:48:47 2026 error -1 reading relation 234360279
- Mon Oct 26 16:49:04 2026 error -1 reading relation 241891918
- Mon Oct 26 16:50:07 2026 error -1 reading relation 266502069
- Mon Oct 26 16:50:25 2026 error -15 reading relation 274149241
- Mon Oct 26 16:50:35 2026 error -1 reading relation 277568730
- Mon Oct 26 16:50:55 2026 error -15 reading relation 285182254
- Mon Oct 26 16:50:55 2026 error -1 reading relation 285183640
- Mon Oct 26 16:50:55 2026 error -15 reading relation 285187325
- Mon Oct 26 16:50:55 2026 error -15 reading relation 285187846
- Mon Oct 26 16:50:55 2026 error -15 reading relation 285188532
- Mon Oct 26 16:50:55 2026 error -1 reading relation 285188791
- Mon Oct 26 16:50:55 2026 error -1 reading relation 285189016
- Mon Oct 26 16:51:08 2026 error -5 reading relation 289077023
- Mon Oct 26 16:51:23 2026 error -1 reading relation 294913743
- Mon Oct 26 16:51:23 2026 error -1 reading relation 294913744
- Mon Oct 26 16:51:52 2026 error -1 reading relation 306454765
- Mon Oct 26 16:51:53 2026 error -1 reading relation 306882331
- Mon Oct 26 16:53:10 2026 error -1 reading relation 337792353
- Mon Oct 26 16:53:12 2026 error -1 reading relation 338332172
- Mon Oct 26 16:53:14 2026 error -1 reading relation 340126614
- Mon Oct 26 16:53:42 2026 error -1 reading relation 350705168
- Mon Oct 26 16:53:52 2026 error -1 reading relation 355248433
- Mon Oct 26 16:53:52 2026 error -1 reading relation 355327557
- Mon Oct 26 16:53:59 2026 error -1 reading relation 357478834
- Mon Oct 26 16:54:01 2026 error -1 reading relation 358096299
- Mon Oct 26 16:54:21 2026 error -1 reading relation 366239960
- Mon Oct 26 16:54:33 2026 error -1 reading relation 370683467
- Mon Oct 26 16:54:44 2026 error -1 reading relation 375111911
- Mon Oct 26 16:55:07 2026 error -1 reading relation 383469127
- Mon Oct 26 16:55:17 2026 error -1 reading relation 388570029
- Mon Oct 26 16:55:27 2026 error -15 reading relation 392222265
- Mon Oct 26 16:55:38 2026 error -1 reading relation 401594822
- Mon Oct 26 16:55:41 2026 error -1 reading relation 404759070
- Mon Oct 26 16:55:59 2026 error -1 reading relation 423260558
- Mon Oct 26 16:58:35 2026 error -1 reading relation 502680164
- Mon Oct 26 16:58:36 2026 error -1 reading relation 503100957
- Mon Oct 26 16:58:51 2026 error -1 reading relation 508845652
- Mon Oct 26 16:59:05 2026 error -1 reading relation 514964537
- Mon Oct 26 16:59:06 2026 error -1 reading relation 515750775
- Mon Oct 26 16:59:13 2026 error -1 reading relation 518284419
- Mon Oct 26 16:59:34 2026 error -1 reading relation 526262953
- Mon Oct 26 16:59:54 2026 error -1 reading relation 534901895
- Mon Oct 26 16:59:56 2026 error -1 reading relation 535699621
- Mon Oct 26 17:00:13 2026 error -1 reading relation 543445713
- Mon Oct 26 17:00:17 2026 error -1 reading relation 544869986
- Mon Oct 26 17:00:30 2026 error -1 reading relation 549921618
- Mon Oct 26 17:00:32 2026 error -1 reading relation 550435656
- Mon Oct 26 17:00:42 2026 error -1 reading relation 555150185
- Mon Oct 26 17:00:49 2026 error -1 reading relation 557769011
- Mon Oct 26 17:00:52 2026 error -1 reading relation 558775600
- Mon Oct 26 17:00:52 2026 error -1 reading relation 559008087
- Mon Oct 26 17:00:54 2026 error -1 reading relation 559756572
- Mon Oct 26 17:01:03 2026 error -1 reading relation 562526932
- Mon Oct 26 17:01:19 2026 error -1 reading relation 568688205
- Mon Oct 26 17:01:23 2026 error -1 reading relation 570162645
- Mon Oct 26 17:01:54 2026 error -1 reading relation 578319941
- Mon Oct 26 17:02:07 2026 error -1 reading relation 583484424
- Mon Oct 26 17:02:21 2026 error -1 reading relation 588965973
- Mon Oct 26 17:03:05 2026 error -1 reading relation 609530262
- Mon Oct 26 17:03:05 2026 error -1 reading relation 609613102
- Mon Oct 26 17:03:17 2026 error -1 reading relation 613089804
- Mon Oct 26 17:03:29 2026 error -1 reading relation 616805360
- Mon Oct 26 17:03:31 2026 error -1 reading relation 617307483
- Mon Oct 26 17:03:38 2026 error -1 reading relation 620339887
- Mon Oct 26 17:03:42 2026 error -1 reading relation 621763771
- Mon Oct 26 17:03:50 2026 error -1 reading relation 624112237
- Mon Oct 26 17:03:55 2026 error -1 reading relation 625584271
- Mon Oct 26 17:04:03 2026 error -1 reading relation 628796151
- Mon Oct 26 17:04:06 2026 error -1 reading relation 629975891
- Mon Oct 26 17:04:18 2026 error -1 reading relation 633571229
- Mon Oct 26 17:04:19 2026 error -1 reading relation 633792735
- Mon Oct 26 17:04:21 2026 error -1 reading relation 634516154
- Mon Oct 26 17:04:24 2026 skipped 2 relations with composite factors
- Mon Oct 26 17:04:24 2026 skipped 831 malformed relations
- Mon Oct 26 17:04:24 2026 found 130308508 hash collisions in 635366386 relations
- Mon Oct 26 17:04:24 2026 cached 635367317 relation coordinates for pass 2 (10718.9 MB)
- Mon Oct 26 17:04:38 2026 added 122194 free relations
- Mon Oct 26 17:04:38 2026 commencing duplicate removal, pass 2
- Mon Oct 26 17:08:51 2026 found 138863697 duplicates and 496624883 unique relations
- Mon Oct 26 17:08:51 2026 memory use: 6336.0 MB
- Mon Oct 26 17:08:53 2026 reading ideals above 274006016
- Mon Oct 26 17:08:53 2026 commencing singleton removal, initial pass
- Mon Oct 26 17:31:32 2026 LP64 contains 496624883 relations and 441623303 unique large ideals
- Mon Oct 26 17:31:32 2026 memory use: 16632.0 MB
- Mon Oct 26 17:31:34 2026 preparing 64-bit LP file for common filtering
- Mon Oct 26 17:31:34 2026 start with 496624883 relations and 441623303 ideals
- Mon Oct 26 17:31:57 2026 compacted LP dataset has 496624883 relations and 441623303 large ideals
- Mon Oct 26 17:31:57 2026 reading all ideals from disk
- Mon Oct 26 17:32:05 2026 memory use: 13009.5 MB
- Mon Oct 26 17:32:15 2026 commencing in-memory singleton removal
- Mon Oct 26 17:32:26 2026 begin with 496624883 relations and 441623303 unique ideals
- Mon Oct 26 17:32:26 2026 memory use: 3385.3 MB
- Mon Oct 26 17:32:46 2026 reduce to 296172294 relations and 219020148 ideals in 4 passes
- Mon Oct 26 17:32:46 2026 max relations containing the same ideal: 31
- Mon Oct 26 17:33:10 2026 reading ideals above 720000
- Mon Oct 26 17:33:12 2026 commencing singleton removal, initial pass
- Mon Oct 26 17:46:16 2026 LP64 contains 296172294 relations and 248741242 unique large ideals
- Mon Oct 26 17:46:16 2026 memory use: 8856.0 MB
- Mon Oct 26 17:46:18 2026 preparing 64-bit LP file for common filtering
- Mon Oct 26 17:46:18 2026 start with 296172294 relations and 248741242 ideals
- Mon Oct 26 17:46:44 2026 compacted LP dataset has 296172294 relations and 248741242 large ideals
- Mon Oct 26 17:46:44 2026 reading all ideals from disk
- Mon Oct 26 17:46:54 2026 memory use: 14721.9 MB
- Mon Oct 26 17:47:04 2026 keeping 247342711 ideals with weight <= 200, target excess is 1514273
- Mon Oct 26 17:47:36 2026 commencing in-memory singleton removal
- Mon Oct 26 17:47:46 2026 begin with 296172294 relations and 247342711 unique ideals
- Mon Oct 26 17:47:46 2026 memory use: 1903.1 MB
- Mon Oct 26 17:47:52 2026 reduce to 296163096 relations and 247333513 ideals in 1 passes
- Mon Oct 26 17:47:52 2026 max relations containing the same ideal: 200
- Mon Oct 26 17:49:45 2026 removing 14666836 relations and 12666836 ideals in 2000000 cliques
- Mon Oct 26 17:49:47 2026 commencing in-memory singleton removal
- Mon Oct 26 17:49:54 2026 begin with 281496260 relations and 247333513 unique ideals
- Mon Oct 26 17:49:54 2026 memory use: 1903.0 MB
- Mon Oct 26 17:50:00 2026 reduce to 280949385 relations and 234114609 ideals in 1 passes
- Mon Oct 26 17:50:00 2026 max relations containing the same ideal: 200
- Mon Oct 26 17:51:50 2026 removing 11046150 relations and 9046150 ideals in 2000000 cliques
- Mon Oct 26 17:51:49 2026 commencing in-memory singleton removal
- Mon Oct 26 17:51:58 2026 begin with 269903235 relations and 234114609 unique ideals
- Mon Oct 26 17:51:58 2026 memory use: 1802.2 MB
- Mon Oct 26 17:52:04 2026 reduce to 269555877 relations and 224718442 ideals in 1 passes
- Mon Oct 26 17:52:04 2026 max relations containing the same ideal: 196
- Mon Oct 26 17:53:51 2026 removing 9909916 relations and 7909916 ideals in 2000000 cliques
- Mon Oct 26 17:53:53 2026 commencing in-memory singleton removal
- Mon Oct 26 17:54:03 2026 begin with 259645961 relations and 224718442 unique ideals
- Mon Oct 26 17:54:03 2026 memory use: 1730.5 MB
- Mon Oct 26 17:54:08 2026 reduce to 259351232 relations and 216511681 ideals in 1 passes
- Mon Oct 26 17:54:08 2026 max relations containing the same ideal: 192
- Mon Oct 26 17:55:55 2026 removing 9279422 relations and 7279422 ideals in 2000000 cliques
- Mon Oct 26 17:55:59 2026 commencing in-memory singleton removal
- Mon Oct 26 17:56:08 2026 begin with 250071810 relations and 216511681 unique ideals
- Mon Oct 26 17:56:08 2026 memory use: 1667.9 MB
- Mon Oct 26 17:56:13 2026 reduce to 249801528 relations and 208959918 ideals in 1 passes
- Mon Oct 26 17:56:13 2026 max relations containing the same ideal: 189
- Mon Oct 26 17:57:52 2026 removing 8864209 relations and 6864209 ideals in 2000000 cliques
- Mon Oct 26 17:57:54 2026 commencing in-memory singleton removal
- Mon Oct 26 17:58:03 2026 begin with 240937319 relations and 208959918 unique ideals
- Mon Oct 26 17:58:03 2026 memory use: 1610.2 MB
- Mon Oct 26 17:58:09 2026 reduce to 240681497 relations and 201837923 ideals in 1 passes
- Mon Oct 26 17:58:09 2026 max relations containing the same ideal: 185
- Mon Oct 26 17:59:44 2026 removing 8563790 relations and 6563790 ideals in 2000000 cliques
- Mon Oct 26 17:59:46 2026 commencing in-memory singleton removal
- Mon Oct 26 17:59:54 2026 begin with 232117707 relations and 201837923 unique ideals
- Mon Oct 26 17:59:54 2026 memory use: 1555.9 MB
- Mon Oct 26 17:59:59 2026 reduce to 231868546 relations and 195023080 ideals in 1 passes
- Mon Oct 26 17:59:59 2026 max relations containing the same ideal: 183
- Mon Oct 26 18:01:30 2026 removing 8344096 relations and 6344096 ideals in 2000000 cliques
- Mon Oct 26 18:01:32 2026 commencing in-memory singleton removal
- Mon Oct 26 18:01:37 2026 begin with 223524450 relations and 195023080 unique ideals
- Mon Oct 26 18:01:37 2026 memory use: 1503.9 MB
- Mon Oct 26 18:01:42 2026 reduce to 223277673 relations and 188430141 ideals in 1 passes
- Mon Oct 26 18:01:42 2026 max relations containing the same ideal: 177
- Mon Oct 26 18:03:07 2026 removing 8175582 relations and 6175582 ideals in 2000000 cliques
- Mon Oct 26 18:03:09 2026 commencing in-memory singleton removal
- Mon Oct 26 18:03:17 2026 begin with 215102091 relations and 188430141 unique ideals
- Mon Oct 26 18:03:17 2026 memory use: 1453.6 MB
- Mon Oct 26 18:03:21 2026 reduce to 214856330 relations and 182006761 ideals in 1 passes
- Mon Oct 26 18:03:21 2026 max relations containing the same ideal: 173
- Mon Oct 26 18:04:45 2026 removing 8052105 relations and 6052105 ideals in 2000000 cliques
- Mon Oct 26 18:04:46 2026 commencing in-memory singleton removal
- Mon Oct 26 18:04:54 2026 begin with 206804225 relations and 182006761 unique ideals
- Mon Oct 26 18:04:54 2026 memory use: 1404.6 MB
- Mon Oct 26 18:04:58 2026 reduce to 206557268 relations and 175705577 ideals in 1 passes
- Mon Oct 26 18:04:58 2026 max relations containing the same ideal: 168
- Mon Oct 26 18:06:19 2026 removing 7949140 relations and 5949140 ideals in 2000000 cliques
- Mon Oct 26 18:06:21 2026 commencing in-memory singleton removal
- Mon Oct 26 18:06:28 2026 begin with 198608128 relations and 175705577 unique ideals
- Mon Oct 26 18:06:28 2026 memory use: 1356.5 MB
- Mon Oct 26 18:06:29 2026 reduce to 198358861 relations and 169504989 ideals in 1 passes
- Mon Oct 26 18:06:29 2026 max relations containing the same ideal: 162
- Mon Oct 26 18:07:50 2026 removing 7880379 relations and 5880379 ideals in 2000000 cliques
- Mon Oct 26 18:07:51 2026 commencing in-memory singleton removal
- Mon Oct 26 18:07:58 2026 begin with 190478482 relations and 169504989 unique ideals
- Mon Oct 26 18:07:58 2026 memory use: 1309.2 MB
- Mon Oct 26 18:07:59 2026 reduce to 190224535 relations and 163368291 ideals in 1 passes
- Mon Oct 26 18:07:59 2026 max relations containing the same ideal: 160
- Mon Oct 26 18:09:15 2026 removing 7823760 relations and 5823760 ideals in 2000000 cliques
- Mon Oct 26 18:09:17 2026 commencing in-memory singleton removal
- Mon Oct 26 18:09:23 2026 begin with 182400775 relations and 163368291 unique ideals
- Mon Oct 26 18:09:23 2026 memory use: 1262.4 MB
- Mon Oct 26 18:09:27 2026 reduce to 182140345 relations and 157281582 ideals in 1 passes
- Mon Oct 26 18:09:27 2026 max relations containing the same ideal: 157
- Mon Oct 26 18:10:38 2026 removing 7789093 relations and 5789093 ideals in 2000000 cliques
- Mon Oct 26 18:10:39 2026 commencing in-memory singleton removal
- Mon Oct 26 18:10:45 2026 begin with 174351252 relations and 157281582 unique ideals
- Mon Oct 26 18:10:45 2026 memory use: 1216.0 MB
- Mon Oct 26 18:10:49 2026 reduce to 174080510 relations and 151219057 ideals in 1 passes
- Mon Oct 26 18:10:49 2026 max relations containing the same ideal: 151
- Mon Oct 26 18:11:57 2026 removing 7764494 relations and 5764494 ideals in 2000000 cliques
- Mon Oct 26 18:11:58 2026 commencing in-memory singleton removal
- Mon Oct 26 18:12:04 2026 begin with 166316016 relations and 151219057 unique ideals
- Mon Oct 26 18:12:04 2026 memory use: 1169.7 MB
- Mon Oct 26 18:12:08 2026 reduce to 166036161 relations and 145171801 ideals in 1 passes
- Mon Oct 26 18:12:08 2026 max relations containing the same ideal: 149
- Mon Oct 26 18:13:14 2026 removing 7758465 relations and 5758465 ideals in 2000000 cliques
- Mon Oct 26 18:13:15 2026 commencing in-memory singleton removal
- Mon Oct 26 18:13:20 2026 begin with 158277696 relations and 145171801 unique ideals
- Mon Oct 26 18:13:20 2026 memory use: 1123.6 MB
- Mon Oct 26 18:13:21 2026 reduce to 157984287 relations and 139116660 ideals in 1 passes
- Mon Oct 26 18:13:21 2026 max relations containing the same ideal: 143
- Mon Oct 26 18:14:24 2026 removing 7769147 relations and 5769147 ideals in 2000000 cliques
- Mon Oct 26 18:14:25 2026 commencing in-memory singleton removal
- Mon Oct 26 18:14:30 2026 begin with 150215140 relations and 139116660 unique ideals
- Mon Oct 26 18:14:30 2026 memory use: 1077.4 MB
- Mon Oct 26 18:14:33 2026 reduce to 149907463 relations and 133036316 ideals in 1 passes
- Mon Oct 26 18:14:33 2026 max relations containing the same ideal: 140
- Mon Oct 26 18:15:34 2026 removing 7793555 relations and 5793555 ideals in 2000000 cliques
- Mon Oct 26 18:15:35 2026 commencing in-memory singleton removal
- Mon Oct 26 18:15:41 2026 begin with 142113908 relations and 133036316 unique ideals
- Mon Oct 26 18:15:41 2026 memory use: 1031.0 MB
- Mon Oct 26 18:15:43 2026 reduce to 141786751 relations and 126911777 ideals in 1 passes
- Mon Oct 26 18:15:43 2026 max relations containing the same ideal: 135
- Mon Oct 26 18:16:40 2026 removing 7832638 relations and 5832638 ideals in 2000000 cliques
- Mon Oct 26 18:16:41 2026 commencing in-memory singleton removal
- Mon Oct 26 18:16:46 2026 begin with 133954113 relations and 126911777 unique ideals
- Mon Oct 26 18:16:46 2026 memory use: 984.3 MB
- Mon Oct 26 18:16:46 2026 reduce to 133603894 relations and 120724537 ideals in 1 passes
- Mon Oct 26 18:16:46 2026 max relations containing the same ideal: 130
- Mon Oct 26 18:17:42 2026 removing 7884888 relations and 5884888 ideals in 2000000 cliques
- Mon Oct 26 18:17:43 2026 commencing in-memory singleton removal
- Mon Oct 26 18:17:47 2026 begin with 125719006 relations and 120724537 unique ideals
- Mon Oct 26 18:17:47 2026 memory use: 937.1 MB
- Mon Oct 26 18:17:47 2026 reduce to 125344589 relations and 114460386 ideals in 1 passes
- Mon Oct 26 18:17:47 2026 max relations containing the same ideal: 125
- Mon Oct 26 18:18:41 2026 removing 7955625 relations and 5955625 ideals in 2000000 cliques
- Mon Oct 26 18:18:42 2026 commencing in-memory singleton removal
- Mon Oct 26 18:18:46 2026 begin with 117388964 relations and 114460386 unique ideals
- Mon Oct 26 18:18:46 2026 memory use: 889.3 MB
- Mon Oct 26 18:18:45 2026 reduce to 116981081 relations and 108091225 ideals in 1 passes
- Mon Oct 26 18:18:45 2026 max relations containing the same ideal: 121
- Mon Oct 26 18:19:35 2026 removing 8051850 relations and 6051850 ideals in 2000000 cliques
- Mon Oct 26 18:19:36 2026 commencing in-memory singleton removal
- Mon Oct 26 18:19:39 2026 begin with 108929231 relations and 108091225 unique ideals
- Mon Oct 26 18:19:39 2026 memory use: 840.7 MB
- Mon Oct 26 18:19:42 2026 reduce to 108481192 relations and 101584749 ideals in 1 passes
- Mon Oct 26 18:19:42 2026 max relations containing the same ideal: 113
- Mon Oct 26 18:20:26 2026 removing 8165771 relations and 6165771 ideals in 2000000 cliques
- Mon Oct 26 18:20:27 2026 commencing in-memory singleton removal
- Mon Oct 26 18:20:30 2026 begin with 100315421 relations and 101584749 unique ideals
- Mon Oct 26 18:20:30 2026 memory use: 791.0 MB
- Mon Oct 26 18:20:32 2026 reduce to 99814921 relations and 94910537 ideals in 1 passes
- Mon Oct 26 18:20:32 2026 max relations containing the same ideal: 105
- Mon Oct 26 18:21:15 2026 removing 8305760 relations and 6305760 ideals in 2000000 cliques
- Mon Oct 26 18:21:16 2026 commencing in-memory singleton removal
- Mon Oct 26 18:21:19 2026 begin with 91509161 relations and 94910537 unique ideals
- Mon Oct 26 18:21:19 2026 memory use: 740.1 MB
- Mon Oct 26 18:21:21 2026 reduce to 90941941 relations and 88028015 ideals in 1 passes
- Mon Oct 26 18:21:21 2026 max relations containing the same ideal: 101
- Mon Oct 26 18:22:03 2026 removing 5486239 relations and 4328870 ideals in 1157369 cliques
- Mon Oct 26 18:22:04 2026 commencing in-memory singleton removal
- Mon Oct 26 18:22:07 2026 begin with 85455702 relations and 88028015 unique ideals
- Mon Oct 26 18:22:07 2026 memory use: 687.6 MB
- Mon Oct 26 18:22:08 2026 reduce to 85199830 relations and 83440586 ideals in 1 passes
- Mon Oct 26 18:22:08 2026 max relations containing the same ideal: 100
- Mon Oct 26 18:22:45 2026 trying target density 90
- Mon Oct 26 18:22:47 2026 relations with 0 large ideals: 5710
- Mon Oct 26 18:22:47 2026 relations with 1 large ideals: 19811
- Mon Oct 26 18:22:47 2026 relations with 2 large ideals: 315367
- Mon Oct 26 18:22:47 2026 relations with 3 large ideals: 2145612
- Mon Oct 26 18:22:47 2026 relations with 4 large ideals: 7856033
- Mon Oct 26 18:22:47 2026 relations with 5 large ideals: 17127474
- Mon Oct 26 18:22:47 2026 relations with 6 large ideals: 23290227
- Mon Oct 26 18:22:47 2026 relations with 7+ large ideals: 34439596
- Mon Oct 26 18:22:47 2026 commencing 2-way merge
- Mon Oct 26 18:23:38 2026 reduce to 52404077 relation sets and 50644833 unique ideals
- Mon Oct 26 18:23:38 2026 commencing full merge
- Mon Oct 26 18:37:16 2026 memory use: 6262.8 MB
- Mon Oct 26 18:37:16 2026 found 26074565 cycles, need 25837033
- Mon Oct 26 18:37:20 2026 weight of 25837033 cycles is about 2325672638 (90.01/cycle)
- Mon Oct 26 18:37:20 2026 distribution of cycle lengths:
- Mon Oct 26 18:37:20 2026 1 relations: 2756022
- Mon Oct 26 18:37:20 2026 2 relations: 2497048
- Mon Oct 26 18:37:20 2026 3 relations: 2540799
- Mon Oct 26 18:37:20 2026 4 relations: 2483694
- Mon Oct 26 18:37:20 2026 5 relations: 2389513
- Mon Oct 26 18:37:20 2026 6 relations: 2258743
- Mon Oct 26 18:37:20 2026 7 relations: 2067525
- Mon Oct 26 18:37:20 2026 8 relations: 1850486
- Mon Oct 26 18:37:20 2026 9 relations: 1603006
- Mon Oct 26 18:37:20 2026 10+ relations: 5390197
- Mon Oct 26 18:37:20 2026 heaviest cycle: 22 relations
- Mon Oct 26 18:37:18 2026 commencing cycle optimization
- Mon Oct 26 18:37:57 2026 start with 161216692 relations
- Mon Oct 26 18:41:34 2026 pruned 4542799 relations
- Mon Oct 26 18:41:34 2026 memory use: 5397.3 MB
- Mon Oct 26 18:41:35 2026 distribution of cycle lengths:
- Mon Oct 26 18:41:35 2026 1 relations: 2756022
- Mon Oct 26 18:41:35 2026 2 relations: 2556425
- Mon Oct 26 18:41:35 2026 3 relations: 2632534
- Mon Oct 26 18:41:35 2026 4 relations: 2554831
- Mon Oct 26 18:41:35 2026 5 relations: 2468799
- Mon Oct 26 18:41:35 2026 6 relations: 2317232
- Mon Oct 26 18:41:35 2026 7 relations: 2120575
- Mon Oct 26 18:41:35 2026 8 relations: 1878298
- Mon Oct 26 18:41:35 2026 9 relations: 1612037
- Mon Oct 26 18:41:35 2026 10+ relations: 4940280
- Mon Oct 26 18:41:35 2026 heaviest cycle: 22 relations
- Mon Oct 26 18:42:00 2026 trying target density 110
- Mon Oct 26 18:42:02 2026 relations with 0 large ideals: 5710
- Mon Oct 26 18:42:02 2026 relations with 1 large ideals: 19811
- Mon Oct 26 18:42:02 2026 relations with 2 large ideals: 315367
- Mon Oct 26 18:42:02 2026 relations with 3 large ideals: 2145612
- Mon Oct 26 18:42:02 2026 relations with 4 large ideals: 7856033
- Mon Oct 26 18:42:02 2026 relations with 5 large ideals: 17127474
- Mon Oct 26 18:42:02 2026 relations with 6 large ideals: 23290227
- Mon Oct 26 18:42:02 2026 relations with 7+ large ideals: 34439596
- Mon Oct 26 18:42:02 2026 commencing 2-way merge
- Mon Oct 26 18:42:50 2026 reduce to 52404077 relation sets and 50644833 unique ideals
- Mon Oct 26 18:42:50 2026 commencing full merge
- Mon Oct 26 19:00:10 2026 memory use: 6462.5 MB
- Mon Oct 26 19:00:10 2026 found 24282535 cycles, need 24091033
- Mon Oct 26 19:00:14 2026 weight of 24091033 cycles is about 2650652762 (110.03/cycle)
- Mon Oct 26 19:00:14 2026 distribution of cycle lengths:
- Mon Oct 26 19:00:14 2026 1 relations: 2019188
- Mon Oct 26 19:00:14 2026 2 relations: 1907421
- Mon Oct 26 19:00:14 2026 3 relations: 1949807
- Mon Oct 26 19:00:14 2026 4 relations: 1890282
- Mon Oct 26 19:00:14 2026 5 relations: 1876507
- Mon Oct 26 19:00:14 2026 6 relations: 1814128
- Mon Oct 26 19:00:14 2026 7 relations: 1755697
- Mon Oct 26 19:00:14 2026 8 relations: 1649669
- Mon Oct 26 19:00:14 2026 9 relations: 1518085
- Mon Oct 26 19:00:14 2026 10+ relations: 7710249
- Mon Oct 26 19:00:14 2026 heaviest cycle: 26 relations
- Mon Oct 26 19:00:15 2026 commencing cycle optimization
- Mon Oct 26 19:00:54 2026 start with 183152172 relations
- Mon Oct 26 19:06:09 2026 pruned 6513713 relations
- Mon Oct 26 19:06:09 2026 memory use: 5619.6 MB
- Mon Oct 26 19:06:09 2026 distribution of cycle lengths:
- Mon Oct 26 19:06:09 2026 1 relations: 2019188
- Mon Oct 26 19:06:09 2026 2 relations: 1954564
- Mon Oct 26 19:06:09 2026 3 relations: 2022911
- Mon Oct 26 19:06:09 2026 4 relations: 1954857
- Mon Oct 26 19:06:09 2026 5 relations: 1950540
- Mon Oct 26 19:06:09 2026 6 relations: 1880702
- Mon Oct 26 19:06:09 2026 7 relations: 1821342
- Mon Oct 26 19:06:09 2026 8 relations: 1702062
- Mon Oct 26 19:06:09 2026 9 relations: 1560636
- Mon Oct 26 19:06:09 2026 10+ relations: 7224231
- Mon Oct 26 19:06:09 2026 heaviest cycle: 26 relations
- Mon Oct 26 19:06:38 2026 trying target density 130
- Mon Oct 26 19:06:39 2026 relations with 0 large ideals: 5710
- Mon Oct 26 19:06:39 2026 relations with 1 large ideals: 19811
- Mon Oct 26 19:06:39 2026 relations with 2 large ideals: 315367
- Mon Oct 26 19:06:39 2026 relations with 3 large ideals: 2145612
- Mon Oct 26 19:06:39 2026 relations with 4 large ideals: 7856033
- Mon Oct 26 19:06:39 2026 relations with 5 large ideals: 17127474
- Mon Oct 26 19:06:39 2026 relations with 6 large ideals: 23290227
- Mon Oct 26 19:06:39 2026 relations with 7+ large ideals: 34439596
- Mon Oct 26 19:06:39 2026 commencing 2-way merge
- Mon Oct 26 19:07:27 2026 reduce to 52404077 relation sets and 50644833 unique ideals
- Mon Oct 26 19:07:27 2026 commencing full merge
- Mon Oct 26 19:27:40 2026 memory use: 6590.0 MB
- Mon Oct 26 19:27:40 2026 found 22869060 cycles, need 22827033
- Mon Oct 26 19:27:41 2026 weight of 22827033 cycles is about 2968027524 (130.02/cycle)
- Mon Oct 26 19:27:41 2026 distribution of cycle lengths:
- Mon Oct 26 19:27:41 2026 1 relations: 1499921
- Mon Oct 26 19:27:41 2026 2 relations: 1524802
- Mon Oct 26 19:27:41 2026 3 relations: 1570739
- Mon Oct 26 19:27:41 2026 4 relations: 1538102
- Mon Oct 26 19:27:41 2026 5 relations: 1542873
- Mon Oct 26 19:27:41 2026 6 relations: 1499439
- Mon Oct 26 19:27:41 2026 7 relations: 1491653
- Mon Oct 26 19:27:41 2026 8 relations: 1421734
- Mon Oct 26 19:27:41 2026 9 relations: 1368808
- Mon Oct 26 19:27:41 2026 10+ relations: 9368962
- Mon Oct 26 19:27:41 2026 heaviest cycle: 28 relations
- Mon Oct 26 19:27:42 2026 commencing cycle optimization
- Mon Oct 26 19:28:26 2026 start with 204255580 relations
- Mon Oct 26 19:35:52 2026 pruned 8574176 relations
- Mon Oct 26 19:35:52 2026 memory use: 5834.2 MB
- Mon Oct 26 19:35:53 2026 distribution of cycle lengths:
- Mon Oct 26 19:35:53 2026 1 relations: 1499921
- Mon Oct 26 19:35:53 2026 2 relations: 1563111
- Mon Oct 26 19:35:53 2026 3 relations: 1631697
- Mon Oct 26 19:35:53 2026 4 relations: 1594456
- Mon Oct 26 19:35:53 2026 5 relations: 1609024
- Mon Oct 26 19:35:53 2026 6 relations: 1564222
- Mon Oct 26 19:35:53 2026 7 relations: 1557184
- Mon Oct 26 19:35:53 2026 8 relations: 1483067
- Mon Oct 26 19:35:53 2026 9 relations: 1425715
- Mon Oct 26 19:35:53 2026 10+ relations: 8898636
- Mon Oct 26 19:35:53 2026 heaviest cycle: 28 relations
- Mon Oct 26 19:36:24 2026 RelProcTime: 10617
- Mon Oct 26 19:36:24 2026
- Mon Oct 26 19:36:24 2026 commencing linear algebra
- Mon Oct 26 19:36:24 2026 using VBITS=128
- Mon Oct 26 19:36:24 2026 building matrices for all densities
- Mon Oct 26 19:36:24 2026 found 3 density files
- Mon Oct 26 19:36:24 2026 building matrix for density 90
- Mon Oct 26 19:36:30 2026 read 25837033 cycles
- Mon Oct 26 19:37:11 2026 cycles contain 84063886 unique relations
- Mon Oct 26 19:48:03 2026 read 84063886 relations
- Mon Oct 26 19:48:36 2026 using 20 quadratic characters above 4294917295
- Mon Oct 26 19:49:12 2026 building initial matrix
- Mon Oct 26 19:53:13 2026 memory use: 11705.9 MB
- Mon Oct 26 19:53:30 2026 read 25837033 cycles
- Mon Oct 26 19:53:33 2026 matrix is 25836855 x 25837033 (9676.9 MB) with weight 2975409015 (115.16/col)
- Mon Oct 26 19:53:33 2026 sparse part has weight 2226702773 (86.18/col)
- Mon Oct 26 19:55:20 2026 filtering completed in 2 passes
- Mon Oct 26 19:55:27 2026 matrix is 25830825 x 25831003 (9676.4 MB) with weight 2975176895 (115.18/col)
- Mon Oct 26 19:55:27 2026 sparse part has weight 2226643150 (86.20/col)
- Mon Oct 26 19:57:54 2026 building matrix for density 110
- Mon Oct 26 19:57:56 2026 read 24091033 cycles
- Mon Oct 26 19:58:31 2026 cycles contain 84088457 unique relations
- Mon Oct 26 20:03:38 2026 read 84088457 relations
- Mon Oct 26 20:04:15 2026 using 20 quadratic characters above 4294917295
- Mon Oct 26 20:04:52 2026 building initial matrix
- Mon Oct 26 20:09:16 2026 memory use: 11731.6 MB
- Mon Oct 26 20:09:39 2026 read 24091033 cycles
- Mon Oct 26 20:09:43 2026 matrix is 24090855 x 24091033 (10639.8 MB) with weight 3243001437 (134.61/col)
- Mon Oct 26 20:09:43 2026 sparse part has weight 2500075688 (103.78/col)
- Mon Oct 26 20:11:48 2026 filtering completed in 2 passes
- Mon Oct 26 20:11:55 2026 matrix is 24088429 x 24088607 (10639.6 MB) with weight 3242892666 (134.62/col)
- Mon Oct 26 20:11:55 2026 sparse part has weight 2500044427 (103.79/col)
- Mon Oct 26 20:14:48 2026 building matrix for density 130
- Mon Oct 26 20:14:51 2026 read 22827033 cycles
- Mon Oct 26 20:15:30 2026 cycles contain 84088229 unique relations
- Mon Oct 26 20:22:27 2026 read 84088229 relations
- Mon Oct 26 20:23:06 2026 using 20 quadratic characters above 4294917295
- Mon Oct 26 20:23:43 2026 building initial matrix
- Mon Oct 26 20:28:14 2026 memory use: 11765.7 MB
- Mon Oct 26 20:28:27 2026 read 22827033 cycles
- Mon Oct 26 20:28:30 2026 matrix is 22826856 x 22827033 (11583.8 MB) with weight 3502601399 (153.44/col)
- Mon Oct 26 20:28:30 2026 sparse part has weight 2762699374 (121.03/col)
- Mon Oct 26 20:30:14 2026 filtering completed in 2 passes
- Mon Oct 26 20:30:21 2026 matrix is 22826439 x 22826616 (11583.8 MB) with weight 3502581846 (153.44/col)
- Mon Oct 26 20:30:21 2026 sparse part has weight 2762694282 (121.03/col)
- Mon Oct 26 20:33:04 2026 BLanczosTime: 3400
- Mon Oct 26 20:33:04 2026 elapsed time 03:53:37
- Tue Oct 27 10:11:11 2026
- Tue Oct 27 10:11:11 2026
- Tue Oct 27 10:11:11 2026 Msieve v. 1.54 (SVN unknown)
- Tue Oct 27 10:11:11 2026 random seeds: b5917bc3 24817f1d
- Tue Oct 27 10:11:11 2026 Using 8 OpenMP threads
- Tue Oct 27 10:11:11 2026 factoring 4871625288700920481337981295877564327842899731910392387008220997117526670696844767805709783428745874017203355923366866874884514288387873724614593638088059593041027678792336490123364876179 (187 digits)
- Tue Oct 27 10:11:12 2026 no P-1/P+1/ECM available, skipping
- Tue Oct 27 10:11:12 2026 commencing number field sieve (187-digit input)
- Tue Oct 27 10:11:12 2026 R0: -1424134667153430187071953217846488780
- Tue Oct 27 10:11:12 2026 R1: 69702037430787552807757
- Tue Oct 27 10:11:12 2026 A0: 77608067176299171760932386260974440813654547
- Tue Oct 27 10:11:12 2026 A1: -11756643351348163954696485056426712795
- Tue Oct 27 10:11:12 2026 A2: -446730374471002881867717928397
- Tue Oct 27 10:11:12 2026 A3: 21510503921929203411035
- Tue Oct 27 10:11:12 2026 A4: 160539908198010
- Tue Oct 27 10:11:12 2026 A5: 831600
- Tue Oct 27 10:11:12 2026 skew 45195866.60, size 3.607e-18, alpha -7.665, combined = 3.889e-14 rroots = 3
- Tue Oct 27 10:11:12 2026
- Tue Oct 27 10:11:12 2026 commencing linear algebra
- Tue Oct 27 10:11:12 2026 using VBITS=256
- Tue Oct 27 10:11:12 2026 skipping matrix build
- Tue Oct 27 10:11:56 2026 matrix starts at (0, 0)
- Tue Oct 27 10:12:02 2026 matrix is 22826439 x 22826616 (11583.8 MB) with weight 3502581846 (153.44/col)
- Tue Oct 27 10:12:02 2026 sparse part has weight 2762694282 (121.03/col)
- Tue Oct 27 10:12:02 2026 saving the first 240 matrix rows for later
- Tue Oct 27 10:12:14 2026 matrix includes 256 packed rows
- Tue Oct 27 10:12:27 2026 matrix is 22826199 x 22826616 (10519.9 MB) with weight 2541205358 (111.33/col)
- Tue Oct 27 10:12:27 2026 sparse part has weight 2392507779 (104.81/col)
- Tue Oct 27 10:12:27 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
- Tue Oct 27 10:12:27 2026 selected card has CUDA arch 12.0
- Tue Oct 27 10:12:31 2026 computed block_nnz 273919392 (L2 cache 100663296 bytes, average column weight 104.8)
- Tue Oct 27 10:12:31 2026 nonzeros per matrix block: 273919392
- Tue Oct 27 10:12:31 2026 SpMV kernel: auto (by nonzeros per row)
- Tue Oct 27 10:12:59 2026 SpMV kernel auto: segscan for 18 of 18 blocks (below 28 nonzeros per row), warpmerge for 0
- Tue Oct 27 10:12:59 2026 packed CSR: 18/18 blocks with 24-bit columns, 0/18 with compressed rows; 4563.3 MiB saved across all blocks
- Tue Oct 27 10:12:59 2026 GPU memory: 31588 MB free, 4876 MB for vectors, 26015 MB for sparse matrix blocks (15293 MB needed)
- Tue Oct 27 10:15:57 2026 commencing Lanczos iteration
- Tue Oct 27 10:15:59 2026 memory use: 20830.3 MB
- Tue Oct 27 10:16:16 2026 linear algebra at 0.1%, ETA 3h18m
- Tue Oct 27 10:16:39 2026 checking every 110000 dimensions, checkpointing every 7150000 dimensions
- Tue Oct 27 13:27:49 2026 lanczos halted after 89433 iterations (dim = 22826197)
- Tue Oct 27 13:30:25 2026 recovered 29 nontrivial dependencies
- Tue Oct 27 13:30:26 2026 BLanczosTime: 11954
- Tue Oct 27 13:30:26 2026 elapsed time 03:19:15
- Tue Oct 27 10:37:21 2026
- Tue Oct 27 10:37:21 2026
- Tue Oct 27 10:37:21 2026 Msieve v. 1.54 (SVN unknown)
- Tue Oct 27 10:37:21 2026 random seeds: f247a249 5cefc9dd
- Tue Oct 27 10:37:21 2026 Using 8 OpenMP threads
- Tue Oct 27 10:37:21 2026 factoring 4871625288700920481337981295877564327842899731910392387008220997117526670696844767805709783428745874017203355923366866874884514288387873724614593638088059593041027678792336490123364876179 (187 digits)
- Tue Oct 27 10:37:21 2026 no P-1/P+1/ECM available, skipping
- Tue Oct 27 10:37:21 2026 commencing number field sieve (187-digit input)
- Tue Oct 27 10:37:21 2026 R0: -1424134667153430187071953217846488780
- Tue Oct 27 10:37:21 2026 R1: 69702037430787552807757
- Tue Oct 27 10:37:21 2026 A0: 77608067176299171760932386260974440813654547
- Tue Oct 27 10:37:21 2026 A1: -11756643351348163954696485056426712795
- Tue Oct 27 10:37:21 2026 A2: -446730374471002881867717928397
- Tue Oct 27 10:37:21 2026 A3: 21510503921929203411035
- Tue Oct 27 10:37:21 2026 A4: 160539908198010
- Tue Oct 27 10:37:21 2026 A5: 831600
- Tue Oct 27 10:37:21 2026 skew 45195866.60, size 3.607e-18, alpha -7.665, combined = 3.889e-14 rroots = 3
- Tue Oct 27 10:37:21 2026
- Tue Oct 27 10:37:21 2026 commencing square root phase
- Tue Oct 27 10:37:21 2026 reading relations for dependency 1
- Tue Oct 27 10:37:24 2026 read 11419275 cycles
- Tue Oct 27 10:37:55 2026 cycles contain 42053716 unique relations
- Tue Oct 27 10:41:44 2026 read 42053716 relations
- Tue Oct 27 10:44:06 2026 multiplying 42053716 relations
- Tue Oct 27 10:50:54 2026 multiply complete, coefficients have about 2522.08 million bits
- Tue Oct 27 10:51:01 2026 initial square root is modulo 453631
- Tue Oct 27 11:05:14 2026 GCD is 1, no factor found
- Tue Oct 27 11:05:14 2026 reading relations for dependency 2
- Tue Oct 27 11:05:16 2026 read 11411135 cycles
- Tue Oct 27 11:05:40 2026 cycles contain 42036902 unique relations
- Tue Oct 27 11:08:18 2026 read 42036902 relations
- Tue Oct 27 11:10:07 2026 multiplying 42036902 relations
- Tue Oct 27 11:16:02 2026 multiply complete, coefficients have about 2521.06 million bits
- Tue Oct 27 11:16:10 2026 initial square root is modulo 451387
- Tue Oct 27 11:28:20 2026 sqrtTime: 3059
- Tue Oct 27 11:28:20 2026 p69 factor: 641498634698837547504460674005190034003343664174827081518061515095767
- Tue Oct 27 11:28:20 2026 p118 factor: 7594131967230121836757734446389152834957046874440847890197924055114571064914362007008248303686497256132927356814678437
- Tue Oct 27 11:28:20 2026 elapsed time 00:50:59
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