Sun Jul 12 01:47:04 2026 Sun Jul 12 01:47:04 2026 Sun Jul 12 01:47:04 2026 Msieve v. 1.54 (SVN unknown) Sun Jul 12 01:47:04 2026 random seeds: bb1447ff 10dedba3 Sun Jul 12 01:47:04 2026 Using 8 OpenMP threads Sun Jul 12 01:47:04 2026 factoring 9124923410771437992102879711109080749761420087247245484563098263554181480152635736486236896634899181754241776580083780355086873037628307622762835274470425163131721383795056702139812228381 (187 digits) Sun Jul 12 01:47:04 2026 no P-1/P+1/ECM available, skipping Sun Jul 12 01:47:04 2026 commencing number field sieve (187-digit input) Sun Jul 12 01:47:04 2026 R0: -1908528224840676936312141246871046253 Sun Jul 12 01:47:04 2026 R1: 4652410848023323438021 Sun Jul 12 01:47:04 2026 A0: -691907076703527948862061122790199141946720 Sun Jul 12 01:47:04 2026 A1: -1109025132423443513857822945697563210 Sun Jul 12 01:47:04 2026 A2: -148461251887443434508240549677 Sun Jul 12 01:47:04 2026 A3: 4136990555941660804771 Sun Jul 12 01:47:04 2026 A4: -194324876270322 Sun Jul 12 01:47:04 2026 A5: 720720 Sun Jul 12 01:47:04 2026 skew 22114984.37, size 3.697e-18, alpha -7.041, combined = 3.893e-14 rroots = 3 Sun Jul 12 01:47:04 2026 Sun Jul 12 01:47:04 2026 commencing relation filtering Sun Jul 12 01:47:04 2026 setting 3 target densities:Sun Jul 12 01:47:04 2026 90Sun Jul 12 01:47:04 2026 110Sun Jul 12 01:47:04 2026 130Sun Jul 12 01:47:04 2026 Sun Jul 12 01:47:04 2026 estimated available RAM is 78540.1 MB Sun Jul 12 01:47:04 2026 commencing duplicate removal, pass 1 Sun Jul 12 01:50:32 2026 error -1 reading relation 43832296 Sun Jul 12 01:57:03 2026 error -1 reading relation 138610585 Sun Jul 12 01:57:28 2026 error -1 reading relation 144960774 Sun Jul 12 01:58:56 2026 error -1 reading relation 166384025 Sun Jul 12 01:59:33 2026 error -1 reading relation 175258682 Sun Jul 12 01:59:39 2026 error -1 reading relation 176751598 Sun Jul 12 02:01:20 2026 error -1 reading relation 201455035 Sun Jul 12 02:02:40 2026 error -1 reading relation 220166381 Sun Jul 12 02:03:44 2026 error -1 reading relation 235852396 Sun Jul 12 02:04:02 2026 error -1 reading relation 240295277 Sun Jul 12 02:04:20 2026 error -1 reading relation 245053023 Sun Jul 12 02:04:33 2026 error -1 reading relation 247839290 Sun Jul 12 02:04:41 2026 error -1 reading relation 249631498 Sun Jul 12 02:05:11 2026 error -1 reading relation 256342022 Sun Jul 12 02:06:28 2026 error -1 reading relation 275421039 Sun Jul 12 02:06:34 2026 error -1 reading relation 276761544 Sun Jul 12 02:09:00 2026 error -1 reading relation 311549128 Sun Jul 12 02:10:09 2026 error -11 reading relation 328534532 Sun Jul 12 02:13:46 2026 error -1 reading relation 379417143 Sun Jul 12 02:14:03 2026 error -1 reading relation 383029656 Sun Jul 12 02:14:21 2026 error -1 reading relation 387776641 Sun Jul 12 02:14:31 2026 error -1 reading relation 389824614 Sun Jul 12 02:15:12 2026 error -1 reading relation 400266167 Sun Jul 12 02:15:32 2026 error -1 reading relation 404364820 Sun Jul 12 02:15:49 2026 error -1 reading relation 408772021 Sun Jul 12 02:16:40 2026 error -1 reading relation 420633986 Sun Jul 12 02:16:52 2026 error -1 reading relation 423249099 Sun Jul 12 02:17:02 2026 error -1 reading relation 425957161 Sun Jul 12 02:17:02 2026 error -1 reading relation 425965892 Sun Jul 12 02:17:46 2026 error -1 reading relation 436627606 Sun Jul 12 02:20:04 2026 error -1 reading relation 470512356 Sun Jul 12 02:20:18 2026 error -1 reading relation 473561571 Sun Jul 12 02:21:00 2026 error -1 reading relation 483904586 Sun Jul 12 02:21:19 2026 error -1 reading relation 488209432 Sun Jul 12 02:21:31 2026 error -1 reading relation 491388528 Sun Jul 12 02:21:46 2026 error -1 reading relation 494531935 Sun Jul 12 02:22:33 2026 error -1 reading relation 505910690 Sun Jul 12 02:22:49 2026 error -1 reading relation 509269358 Sun Jul 12 02:22:49 2026 error -1 reading relation 509271260 Sun Jul 12 02:22:49 2026 error -1 reading relation 509277188 Sun Jul 12 02:23:07 2026 error -1 reading relation 513955147 Sun Jul 12 02:23:55 2026 error -1 reading relation 525823391 Sun Jul 12 02:23:57 2026 error -1 reading relation 526244620 Sun Jul 12 02:24:17 2026 error -1 reading relation 530549441 Sun Jul 12 02:24:19 2026 error -1 reading relation 531668866 Sun Jul 12 02:24:31 2026 error -1 reading relation 534314895 Sun Jul 12 02:24:48 2026 error -1 reading relation 538612519 Sun Jul 12 02:25:03 2026 error -1 reading relation 541951369 Sun Jul 12 02:25:16 2026 error -1 reading relation 544698351 Sun Jul 12 02:25:23 2026 error -1 reading relation 546741178 Sun Jul 12 02:25:26 2026 error -1 reading relation 547520565 Sun Jul 12 02:25:41 2026 error -1 reading relation 550617085 Sun Jul 12 02:26:19 2026 error -1 reading relation 560247429 Sun Jul 12 02:26:35 2026 error -1 reading relation 563786982 Sun Jul 12 02:26:39 2026 error -1 reading relation 564784786 Sun Jul 12 02:27:06 2026 error -1 reading relation 571273313 Sun Jul 12 02:27:07 2026 error -1 reading relation 571309388 Sun Jul 12 02:27:07 2026 error -1 reading relation 571444229 Sun Jul 12 02:27:30 2026 error -1 reading relation 577209249 Sun Jul 12 02:27:34 2026 error -1 reading relation 577982500 Sun Jul 12 02:27:58 2026 error -1 reading relation 584000164 Sun Jul 12 02:28:00 2026 error -1 reading relation 584416145 Sun Jul 12 02:28:35 2026 error -1 reading relation 592269882 Sun Jul 12 02:28:40 2026 error -1 reading relation 593555569 Sun Jul 12 02:28:44 2026 error -1 reading relation 594267091 Sun Jul 12 02:29:44 2026 error -1 reading relation 609200524 Sun Jul 12 02:30:55 2026 error -1 reading relation 626162983 Sun Jul 12 02:31:09 2026 error -1 reading relation 629222268 Sun Jul 12 02:31:48 2026 error -1 reading relation 638880986 Sun Jul 12 02:31:51 2026 error -1 reading relation 639508172 Sun Jul 12 02:32:02 2026 error -1 reading relation 641796515 Sun Jul 12 02:32:09 2026 skipped 5 relations with composite factors Sun Jul 12 02:32:09 2026 skipped 398 malformed relations Sun Jul 12 02:32:09 2026 found 126887541 hash collisions in 643802856 relations Sun Jul 12 02:32:28 2026 added 122100 free relations Sun Jul 12 02:32:28 2026 commencing duplicate removal, pass 2 Sun Jul 12 02:45:48 2026 found 133334139 duplicates and 510590817 unique relations Sun Jul 12 02:45:48 2026 memory use: 3411.0 MB Sun Jul 12 02:45:49 2026 reading ideals above 276758528 Sun Jul 12 02:45:49 2026 commencing singleton removal, initial pass Sun Jul 12 03:37:58 2026 memory use: 11024.0 MB Sun Jul 12 03:37:59 2026 reading all ideals from disk Sun Jul 12 03:38:10 2026 memory use: 13387.9 MB Sun Jul 12 03:38:41 2026 commencing in-memory singleton removal Sun Jul 12 03:38:48 2026 begin with 510590817 relations and 446784109 unique ideals Sun Jul 12 03:40:06 2026 reduce to 314496721 relations and 229975094 ideals in 16 passes Sun Jul 12 03:40:06 2026 max relations containing the same ideal: 36 Sun Jul 12 03:40:19 2026 reading ideals above 720000 Sun Jul 12 03:40:21 2026 commencing singleton removal, initial pass Sun Jul 12 04:32:15 2026 memory use: 6024.0 MB Sun Jul 12 04:32:16 2026 reading all ideals from disk Sun Jul 12 04:32:32 2026 memory use: 15656.9 MB Sun Jul 12 04:33:14 2026 keeping 258490661 ideals with weight <= 200, target excess is 1603854 Sun Jul 12 04:34:13 2026 commencing in-memory singleton removal Sun Jul 12 04:34:19 2026 begin with 314496721 relations and 258490661 unique ideals Sun Jul 12 04:35:16 2026 reduce to 314491978 relations and 258485918 ideals in 8 passes Sun Jul 12 04:35:16 2026 max relations containing the same ideal: 200 Sun Jul 12 04:38:40 2026 removing 14208613 relations and 12208613 ideals in 2000000 cliques Sun Jul 12 04:38:48 2026 commencing in-memory singleton removal Sun Jul 12 04:38:57 2026 begin with 300283365 relations and 258485918 unique ideals Sun Jul 12 04:39:54 2026 reduce to 299804392 relations and 245794116 ideals in 8 passes Sun Jul 12 04:39:54 2026 max relations containing the same ideal: 200 Sun Jul 12 04:43:09 2026 removing 10730528 relations and 8730528 ideals in 2000000 cliques Sun Jul 12 04:43:18 2026 commencing in-memory singleton removal Sun Jul 12 04:43:27 2026 begin with 289073864 relations and 245794116 unique ideals Sun Jul 12 04:44:19 2026 reduce to 288770562 relations and 236757921 ideals in 8 passes Sun Jul 12 04:44:19 2026 max relations containing the same ideal: 197 Sun Jul 12 04:47:22 2026 removing 9631198 relations and 7631198 ideals in 2000000 cliques Sun Jul 12 04:47:28 2026 commencing in-memory singleton removal Sun Jul 12 04:47:36 2026 begin with 279139364 relations and 236757921 unique ideals Sun Jul 12 04:48:22 2026 reduce to 278879924 relations and 228865465 ideals in 7 passes Sun Jul 12 04:48:22 2026 max relations containing the same ideal: 193 Sun Jul 12 04:51:19 2026 removing 9022598 relations and 7022598 ideals in 2000000 cliques Sun Jul 12 04:51:25 2026 commencing in-memory singleton removal Sun Jul 12 04:51:33 2026 begin with 269857326 relations and 228865465 unique ideals Sun Jul 12 04:52:22 2026 reduce to 269619199 relations and 221603061 ideals in 8 passes Sun Jul 12 04:52:22 2026 max relations containing the same ideal: 190 Sun Jul 12 04:55:13 2026 removing 8611545 relations and 6611545 ideals in 2000000 cliques Sun Jul 12 04:55:18 2026 commencing in-memory singleton removal Sun Jul 12 04:55:25 2026 begin with 261007654 relations and 221603061 unique ideals Sun Jul 12 04:56:08 2026 reduce to 260782307 relations and 214764568 ideals in 7 passes Sun Jul 12 04:56:08 2026 max relations containing the same ideal: 187 Sun Jul 12 04:58:54 2026 removing 8317625 relations and 6317625 ideals in 2000000 cliques Sun Jul 12 04:59:02 2026 commencing in-memory singleton removal Sun Jul 12 04:59:09 2026 begin with 252464682 relations and 214764568 unique ideals Sun Jul 12 04:59:53 2026 reduce to 252247311 relations and 208228028 ideals in 8 passes Sun Jul 12 04:59:53 2026 max relations containing the same ideal: 183 Sun Jul 12 05:02:37 2026 removing 8100413 relations and 6100413 ideals in 2000000 cliques Sun Jul 12 05:02:45 2026 commencing in-memory singleton removal Sun Jul 12 05:02:52 2026 begin with 244146898 relations and 208228028 unique ideals Sun Jul 12 05:03:31 2026 reduce to 243933744 relations and 201912867 ideals in 7 passes Sun Jul 12 05:03:31 2026 max relations containing the same ideal: 179 Sun Jul 12 05:06:10 2026 removing 7931852 relations and 5931852 ideals in 2000000 cliques Sun Jul 12 05:06:17 2026 commencing in-memory singleton removal Sun Jul 12 05:06:23 2026 begin with 236001892 relations and 201912867 unique ideals Sun Jul 12 05:07:01 2026 reduce to 235789972 relations and 195767477 ideals in 7 passes Sun Jul 12 05:07:01 2026 max relations containing the same ideal: 176 Sun Jul 12 05:09:34 2026 removing 7799100 relations and 5799100 ideals in 2000000 cliques Sun Jul 12 05:09:40 2026 commencing in-memory singleton removal Sun Jul 12 05:09:46 2026 begin with 227990872 relations and 195767477 unique ideals Sun Jul 12 05:10:22 2026 reduce to 227780206 relations and 189756079 ideals in 7 passes Sun Jul 12 05:10:22 2026 max relations containing the same ideal: 174 Sun Jul 12 05:12:53 2026 removing 7696051 relations and 5696051 ideals in 2000000 cliques Sun Jul 12 05:13:01 2026 commencing in-memory singleton removal Sun Jul 12 05:13:08 2026 begin with 220084155 relations and 189756079 unique ideals Sun Jul 12 05:13:46 2026 reduce to 219872225 relations and 183846409 ideals in 7 passes Sun Jul 12 05:13:46 2026 max relations containing the same ideal: 169 Sun Jul 12 05:16:18 2026 removing 7612450 relations and 5612450 ideals in 2000000 cliques Sun Jul 12 05:16:26 2026 commencing in-memory singleton removal Sun Jul 12 05:16:33 2026 begin with 212259775 relations and 183846409 unique ideals Sun Jul 12 05:17:13 2026 reduce to 212045089 relations and 178017455 ideals in 8 passes Sun Jul 12 05:17:13 2026 max relations containing the same ideal: 167 Sun Jul 12 05:19:51 2026 removing 7554635 relations and 5554635 ideals in 2000000 cliques Sun Jul 12 05:19:59 2026 commencing in-memory singleton removal Sun Jul 12 05:20:05 2026 begin with 204490454 relations and 178017455 unique ideals Sun Jul 12 05:20:40 2026 reduce to 204272352 relations and 172242742 ideals in 7 passes Sun Jul 12 05:20:40 2026 max relations containing the same ideal: 161 Sun Jul 12 05:23:08 2026 removing 7504096 relations and 5504096 ideals in 2000000 cliques Sun Jul 12 05:23:15 2026 commencing in-memory singleton removal Sun Jul 12 05:23:21 2026 begin with 196768256 relations and 172242742 unique ideals Sun Jul 12 05:23:59 2026 reduce to 196542122 relations and 166510465 ideals in 8 passes Sun Jul 12 05:23:59 2026 max relations containing the same ideal: 157 Sun Jul 12 05:26:25 2026 removing 7471506 relations and 5471506 ideals in 2000000 cliques Sun Jul 12 05:26:32 2026 commencing in-memory singleton removal Sun Jul 12 05:26:35 2026 begin with 189070616 relations and 166510465 unique ideals Sun Jul 12 05:27:03 2026 reduce to 188840462 relations and 160806660 ideals in 6 passes Sun Jul 12 05:27:03 2026 max relations containing the same ideal: 154 Sun Jul 12 05:29:29 2026 removing 7449173 relations and 5449173 ideals in 2000000 cliques Sun Jul 12 05:29:33 2026 commencing in-memory singleton removal Sun Jul 12 05:29:38 2026 begin with 181391289 relations and 160806660 unique ideals Sun Jul 12 05:30:08 2026 reduce to 181152878 relations and 155116811 ideals in 7 passes Sun Jul 12 05:30:08 2026 max relations containing the same ideal: 151 Sun Jul 12 05:32:24 2026 removing 7439721 relations and 5439721 ideals in 2000000 cliques Sun Jul 12 05:32:27 2026 commencing in-memory singleton removal Sun Jul 12 05:32:32 2026 begin with 173713157 relations and 155116811 unique ideals Sun Jul 12 05:33:01 2026 reduce to 173467331 relations and 149428762 ideals in 7 passes Sun Jul 12 05:33:01 2026 max relations containing the same ideal: 149 Sun Jul 12 05:35:19 2026 removing 7437996 relations and 5437996 ideals in 2000000 cliques Sun Jul 12 05:35:22 2026 commencing in-memory singleton removal Sun Jul 12 05:35:27 2026 begin with 166029335 relations and 149428762 unique ideals Sun Jul 12 05:35:55 2026 reduce to 165773104 relations and 143731823 ideals in 7 passes Sun Jul 12 05:35:55 2026 max relations containing the same ideal: 142 Sun Jul 12 05:38:04 2026 removing 7453156 relations and 5453156 ideals in 2000000 cliques Sun Jul 12 05:38:11 2026 commencing in-memory singleton removal Sun Jul 12 05:38:15 2026 begin with 158319948 relations and 143731823 unique ideals Sun Jul 12 05:38:42 2026 reduce to 158052993 relations and 138008743 ideals in 7 passes Sun Jul 12 05:38:42 2026 max relations containing the same ideal: 140 Sun Jul 12 05:40:45 2026 removing 7475822 relations and 5475822 ideals in 2000000 cliques Sun Jul 12 05:40:47 2026 commencing in-memory singleton removal Sun Jul 12 05:40:52 2026 begin with 150577171 relations and 138008743 unique ideals Sun Jul 12 05:41:18 2026 reduce to 150295273 relations and 132247666 ideals in 7 passes Sun Jul 12 05:41:18 2026 max relations containing the same ideal: 131 Sun Jul 12 05:43:13 2026 removing 7505679 relations and 5505679 ideals in 2000000 cliques Sun Jul 12 05:43:19 2026 commencing in-memory singleton removal Sun Jul 12 05:43:23 2026 begin with 142789594 relations and 132247666 unique ideals Sun Jul 12 05:43:47 2026 reduce to 142490749 relations and 126439606 ideals in 7 passes Sun Jul 12 05:43:47 2026 max relations containing the same ideal: 127 Sun Jul 12 05:45:36 2026 removing 7549332 relations and 5549332 ideals in 2000000 cliques Sun Jul 12 05:45:38 2026 commencing in-memory singleton removal Sun Jul 12 05:45:42 2026 begin with 134941417 relations and 126439606 unique ideals Sun Jul 12 05:46:08 2026 reduce to 134623253 relations and 120568202 ideals in 8 passes Sun Jul 12 05:46:08 2026 max relations containing the same ideal: 123 Sun Jul 12 05:47:56 2026 removing 7601782 relations and 5601782 ideals in 2000000 cliques Sun Jul 12 05:48:00 2026 commencing in-memory singleton removal Sun Jul 12 05:48:03 2026 begin with 127021471 relations and 120568202 unique ideals Sun Jul 12 05:48:19 2026 reduce to 126680676 relations and 114621161 ideals in 7 passes Sun Jul 12 05:48:19 2026 max relations containing the same ideal: 118 Sun Jul 12 05:49:33 2026 removing 7676790 relations and 5676790 ideals in 2000000 cliques Sun Jul 12 05:49:37 2026 commencing in-memory singleton removal Sun Jul 12 05:49:39 2026 begin with 119003886 relations and 114621161 unique ideals Sun Jul 12 05:49:53 2026 reduce to 118633758 relations and 108569056 ideals in 7 passes Sun Jul 12 05:49:53 2026 max relations containing the same ideal: 114 Sun Jul 12 05:50:50 2026 removing 7767601 relations and 5767601 ideals in 2000000 cliques Sun Jul 12 05:50:53 2026 commencing in-memory singleton removal Sun Jul 12 05:50:56 2026 begin with 110866157 relations and 108569056 unique ideals Sun Jul 12 05:51:04 2026 reduce to 110459466 relations and 102388820 ideals in 7 passes Sun Jul 12 05:51:04 2026 max relations containing the same ideal: 109 Sun Jul 12 05:51:39 2026 removing 7880457 relations and 5880457 ideals in 2000000 cliques Sun Jul 12 05:51:41 2026 commencing in-memory singleton removal Sun Jul 12 05:51:43 2026 begin with 102579009 relations and 102388820 unique ideals Sun Jul 12 05:51:49 2026 reduce to 102131688 relations and 96054286 ideals in 7 passes Sun Jul 12 05:51:49 2026 max relations containing the same ideal: 100 Sun Jul 12 05:52:22 2026 removing 8006334 relations and 6006334 ideals in 2000000 cliques Sun Jul 12 05:52:25 2026 commencing in-memory singleton removal Sun Jul 12 05:52:26 2026 begin with 94125354 relations and 96054286 unique ideals Sun Jul 12 05:52:30 2026 reduce to 93621727 relations and 89535997 ideals in 8 passes Sun Jul 12 05:52:30 2026 max relations containing the same ideal: 97 Sun Jul 12 05:53:01 2026 removing 8162466 relations and 6162466 ideals in 2000000 cliques Sun Jul 12 05:53:04 2026 commencing in-memory singleton removal Sun Jul 12 05:53:06 2026 begin with 85459261 relations and 89535997 unique ideals Sun Jul 12 05:53:16 2026 reduce to 84883166 relations and 82787083 ideals in 8 passes Sun Jul 12 05:53:16 2026 max relations containing the same ideal: 93 Sun Jul 12 05:54:21 2026 removing 1443860 relations and 1208248 ideals in 235612 cliques Sun Jul 12 05:54:24 2026 commencing in-memory singleton removal Sun Jul 12 05:54:26 2026 begin with 83439306 relations and 82787083 unique ideals Sun Jul 12 05:54:32 2026 reduce to 83422427 relations and 81561918 ideals in 6 passes Sun Jul 12 05:54:32 2026 max relations containing the same ideal: 93 Sun Jul 12 05:54:35 2026 trying target density 90 Sun Jul 12 05:54:44 2026 relations with 0 large ideals: 5814 Sun Jul 12 05:54:44 2026 relations with 1 large ideals: 22437 Sun Jul 12 05:54:44 2026 relations with 2 large ideals: 348561 Sun Jul 12 05:54:44 2026 relations with 3 large ideals: 2305659 Sun Jul 12 05:54:44 2026 relations with 4 large ideals: 8189012 Sun Jul 12 05:54:44 2026 relations with 5 large ideals: 17330669 Sun Jul 12 05:54:44 2026 relations with 6 large ideals: 22899168 Sun Jul 12 05:54:44 2026 relations with 7+ large ideals: 32321107 Sun Jul 12 05:54:44 2026 commencing 2-way merge Sun Jul 12 05:56:07 2026 reduce to 51629999 relation sets and 49769490 unique ideals Sun Jul 12 05:56:08 2026 commencing full merge Sun Jul 12 06:21:08 2026 memory use: 5958.2 MB Sun Jul 12 06:21:19 2026 found 25738234 cycles, need 25485690 Sun Jul 12 06:21:29 2026 weight of 25485690 cycles is about 2293981369 (90.01/cycle) Sun Jul 12 06:21:29 2026 distribution of cycle lengths: Sun Jul 12 06:21:29 2026 1 relations: 2666395 Sun Jul 12 06:21:29 2026 2 relations: 2465538 Sun Jul 12 06:21:29 2026 3 relations: 2485500 Sun Jul 12 06:21:29 2026 4 relations: 2452149 Sun Jul 12 06:21:29 2026 5 relations: 2349447 Sun Jul 12 06:21:29 2026 6 relations: 2238006 Sun Jul 12 06:21:29 2026 7 relations: 2057784 Sun Jul 12 06:21:29 2026 8 relations: 1835916 Sun Jul 12 06:21:29 2026 9 relations: 1583278 Sun Jul 12 06:21:29 2026 10+ relations: 5351677 Sun Jul 12 06:21:29 2026 heaviest cycle: 21 relations Sun Jul 12 06:21:42 2026 commencing cycle optimization Sun Jul 12 06:22:59 2026 start with 159502148 relations Sun Jul 12 06:29:41 2026 pruned 4615140 relations Sun Jul 12 06:29:47 2026 memory use: 5054.3 MB Sun Jul 12 06:29:47 2026 distribution of cycle lengths: Sun Jul 12 06:29:47 2026 1 relations: 2666395 Sun Jul 12 06:29:47 2026 2 relations: 2523610 Sun Jul 12 06:29:47 2026 3 relations: 2577776 Sun Jul 12 06:29:47 2026 4 relations: 2523663 Sun Jul 12 06:29:47 2026 5 relations: 2430583 Sun Jul 12 06:29:47 2026 6 relations: 2299498 Sun Jul 12 06:29:47 2026 7 relations: 2112482 Sun Jul 12 06:29:47 2026 8 relations: 1867131 Sun Jul 12 06:29:47 2026 9 relations: 1593929 Sun Jul 12 06:29:47 2026 10+ relations: 4890623 Sun Jul 12 06:29:47 2026 heaviest cycle: 21 relations Sun Jul 12 06:31:11 2026 trying target density 110 Sun Jul 12 06:31:19 2026 relations with 0 large ideals: 5814 Sun Jul 12 06:31:19 2026 relations with 1 large ideals: 22437 Sun Jul 12 06:31:19 2026 relations with 2 large ideals: 348561 Sun Jul 12 06:31:19 2026 relations with 3 large ideals: 2305659 Sun Jul 12 06:31:19 2026 relations with 4 large ideals: 8189012 Sun Jul 12 06:31:19 2026 relations with 5 large ideals: 17330669 Sun Jul 12 06:31:19 2026 relations with 6 large ideals: 22899168 Sun Jul 12 06:31:19 2026 relations with 7+ large ideals: 32321107 Sun Jul 12 06:31:19 2026 commencing 2-way merge Sun Jul 12 06:32:33 2026 reduce to 51629999 relation sets and 49769490 unique ideals Sun Jul 12 06:32:33 2026 commencing full merge Sun Jul 12 07:02:18 2026 memory use: 6134.9 MB Sun Jul 12 07:02:27 2026 found 24002684 cycles, need 23787690 Sun Jul 12 07:02:40 2026 weight of 23787690 cycles is about 2617199233 (110.02/cycle) Sun Jul 12 07:02:40 2026 distribution of cycle lengths: Sun Jul 12 07:02:40 2026 1 relations: 1887816 Sun Jul 12 07:02:40 2026 2 relations: 1868322 Sun Jul 12 07:02:40 2026 3 relations: 1919935 Sun Jul 12 07:02:40 2026 4 relations: 1877909 Sun Jul 12 07:02:40 2026 5 relations: 1863140 Sun Jul 12 07:02:40 2026 6 relations: 1812322 Sun Jul 12 07:02:40 2026 7 relations: 1753357 Sun Jul 12 07:02:40 2026 8 relations: 1649554 Sun Jul 12 07:02:40 2026 9 relations: 1513687 Sun Jul 12 07:02:40 2026 10+ relations: 7641648 Sun Jul 12 07:02:40 2026 heaviest cycle: 26 relations Sun Jul 12 07:02:48 2026 commencing cycle optimization Sun Jul 12 07:04:14 2026 start with 181370681 relations Sun Jul 12 07:13:52 2026 pruned 6610494 relations Sun Jul 12 07:13:56 2026 memory use: 5282.0 MB Sun Jul 12 07:13:56 2026 distribution of cycle lengths: Sun Jul 12 07:13:56 2026 1 relations: 1887816 Sun Jul 12 07:13:56 2026 2 relations: 1914487 Sun Jul 12 07:13:56 2026 3 relations: 1994473 Sun Jul 12 07:13:56 2026 4 relations: 1943626 Sun Jul 12 07:13:57 2026 5 relations: 1939255 Sun Jul 12 07:13:57 2026 6 relations: 1880707 Sun Jul 12 07:13:57 2026 7 relations: 1822638 Sun Jul 12 07:13:57 2026 8 relations: 1705173 Sun Jul 12 07:13:57 2026 9 relations: 1558912 Sun Jul 12 07:13:57 2026 10+ relations: 7140603 Sun Jul 12 07:13:57 2026 heaviest cycle: 26 relations Sun Jul 12 07:15:21 2026 trying target density 130 Sun Jul 12 07:15:27 2026 relations with 0 large ideals: 5814 Sun Jul 12 07:15:27 2026 relations with 1 large ideals: 22437 Sun Jul 12 07:15:27 2026 relations with 2 large ideals: 348561 Sun Jul 12 07:15:27 2026 relations with 3 large ideals: 2305659 Sun Jul 12 07:15:27 2026 relations with 4 large ideals: 8189012 Sun Jul 12 07:15:27 2026 relations with 5 large ideals: 17330669 Sun Jul 12 07:15:27 2026 relations with 6 large ideals: 22899168 Sun Jul 12 07:15:27 2026 relations with 7+ large ideals: 32321107 Sun Jul 12 07:15:27 2026 commencing 2-way merge Sun Jul 12 07:16:44 2026 reduce to 51629999 relation sets and 49769490 unique ideals Sun Jul 12 07:16:44 2026 commencing full merge Sun Jul 12 07:52:06 2026 memory use: 6250.2 MB Sun Jul 12 07:52:16 2026 found 22626792 cycles, need 22551690 Sun Jul 12 07:52:24 2026 weight of 22551690 cycles is about 2932378038 (130.03/cycle) Sun Jul 12 07:52:24 2026 distribution of cycle lengths: Sun Jul 12 07:52:24 2026 1 relations: 1383161 Sun Jul 12 07:52:24 2026 2 relations: 1478273 Sun Jul 12 07:52:24 2026 3 relations: 1545034 Sun Jul 12 07:52:24 2026 4 relations: 1521274 Sun Jul 12 07:52:24 2026 5 relations: 1532718 Sun Jul 12 07:52:24 2026 6 relations: 1499497 Sun Jul 12 07:52:24 2026 7 relations: 1490682 Sun Jul 12 07:52:24 2026 8 relations: 1425272 Sun Jul 12 07:52:24 2026 9 relations: 1367668 Sun Jul 12 07:52:24 2026 10+ relations: 9308111 Sun Jul 12 07:52:24 2026 heaviest cycle: 28 relations Sun Jul 12 07:52:32 2026 commencing cycle optimization Sun Jul 12 07:54:07 2026 start with 202411502 relations Sun Jul 12 08:07:08 2026 pruned 8692669 relations Sun Jul 12 08:07:08 2026 memory use: 5495.8 MB Sun Jul 12 08:07:08 2026 distribution of cycle lengths: Sun Jul 12 08:07:08 2026 1 relations: 1383161 Sun Jul 12 08:07:08 2026 2 relations: 1515463 Sun Jul 12 08:07:08 2026 3 relations: 1606723 Sun Jul 12 08:07:08 2026 4 relations: 1579381 Sun Jul 12 08:07:08 2026 5 relations: 1600579 Sun Jul 12 08:07:08 2026 6 relations: 1566354 Sun Jul 12 08:07:08 2026 7 relations: 1558717 Sun Jul 12 08:07:08 2026 8 relations: 1490064 Sun Jul 12 08:07:08 2026 9 relations: 1426203 Sun Jul 12 08:07:08 2026 10+ relations: 8825045 Sun Jul 12 08:07:08 2026 heaviest cycle: 28 relations Sun Jul 12 08:08:36 2026 RelProcTime: 22892 Sun Jul 12 08:08:36 2026 Sun Jul 12 08:08:36 2026 commencing linear algebra Sun Jul 12 08:08:36 2026 using VBITS=256 Sun Jul 12 08:08:36 2026 building matrices for all densities Sun Jul 12 08:08:36 2026 found 3 density files Sun Jul 12 08:08:36 2026 building matrix for density 90 Sun Jul 12 08:08:38 2026 read 25485690 cycles Sun Jul 12 08:09:38 2026 cycles contain 82362738 unique relations Sun Jul 12 08:17:19 2026 read 82362738 relations Sun Jul 12 08:18:02 2026 using 20 quadratic characters above 4294917295 Sun Jul 12 08:18:35 2026 building initial matrix Sun Jul 12 08:42:12 2026 memory use: 11657.1 MB Sun Jul 12 08:42:28 2026 read 25485690 cycles Sun Jul 12 08:42:32 2026 matrix is 25485513 x 25485690 (9549.8 MB) with weight 2951941468 (115.83/col) Sun Jul 12 08:42:32 2026 sparse part has weight 2197598083 (86.23/col) Sun Jul 12 08:46:57 2026 filtering completed in 2 passes Sun Jul 12 08:47:03 2026 matrix is 25480997 x 25481174 (9549.5 MB) with weight 2951770906 (115.84/col) Sun Jul 12 08:47:03 2026 sparse part has weight 2197560618 (86.24/col) Sun Jul 12 08:48:16 2026 building matrix for density 110 Sun Jul 12 08:48:18 2026 read 23787690 cycles Sun Jul 12 08:49:12 2026 cycles contain 82376142 unique relations Sun Jul 12 08:57:30 2026 read 82376142 relations Sun Jul 12 08:58:16 2026 using 20 quadratic characters above 4294917295 Sun Jul 12 08:58:49 2026 building initial matrix Sun Jul 12 09:23:52 2026 memory use: 11682.7 MB Sun Jul 12 09:24:20 2026 read 23787690 cycles Sun Jul 12 09:24:25 2026 matrix is 23787512 x 23787690 (10513.4 MB) with weight 3217810416 (135.27/col) Sun Jul 12 09:24:25 2026 sparse part has weight 2470572080 (103.86/col) Sun Jul 12 09:29:11 2026 filtering completed in 2 passes Sun Jul 12 09:29:19 2026 matrix is 23785455 x 23785633 (10513.2 MB) with weight 3217721334 (135.28/col) Sun Jul 12 09:29:19 2026 sparse part has weight 2470549294 (103.87/col) Sun Jul 12 09:30:33 2026 building matrix for density 130 Sun Jul 12 09:30:35 2026 read 22551690 cycles Sun Jul 12 09:31:30 2026 cycles contain 82371197 unique relations Sun Jul 12 09:36:53 2026 read 82371197 relations Sun Jul 12 09:37:33 2026 using 20 quadratic characters above 4294917295 Sun Jul 12 09:38:03 2026 building initial matrix Sun Jul 12 09:56:05 2026 memory use: 11716.8 MB Sun Jul 12 09:56:15 2026 read 22551690 cycles Sun Jul 12 09:56:18 2026 matrix is 22551513 x 22551690 (11453.9 MB) with weight 3474667436 (154.08/col) Sun Jul 12 09:56:18 2026 sparse part has weight 2731938590 (121.14/col) Sun Jul 12 09:59:18 2026 filtering completed in 2 passes Sun Jul 12 09:59:23 2026 matrix is 22550980 x 22551157 (11453.8 MB) with weight 3474642079 (154.08/col) Sun Jul 12 09:59:23 2026 sparse part has weight 2731931636 (121.14/col) Sun Jul 12 10:00:15 2026 BLanczosTime: 6699 Sun Jul 12 10:00:15 2026 elapsed time 08:13:11 Sun Jul 12 16:53:37 2026 Sun Jul 12 16:53:37 2026 Sun Jul 12 16:53:37 2026 Msieve v. 1.54 (SVN unknown) Sun Jul 12 16:53:37 2026 random seeds: b734c595 6e67881f Sun Jul 12 16:53:37 2026 Using 8 OpenMP threads Sun Jul 12 16:53:37 2026 factoring 9124923410771437992102879711109080749761420087247245484563098263554181480152635736486236896634899181754241776580083780355086873037628307622762835274470425163131721383795056702139812228381 (187 digits) Sun Jul 12 16:53:37 2026 no P-1/P+1/ECM available, skipping Sun Jul 12 16:53:37 2026 commencing number field sieve (187-digit input) Sun Jul 12 16:53:37 2026 R0: -1908528224840676936312141246871046253 Sun Jul 12 16:53:37 2026 R1: 4652410848023323438021 Sun Jul 12 16:53:37 2026 A0: -691907076703527948862061122790199141946720 Sun Jul 12 16:53:37 2026 A1: -1109025132423443513857822945697563210 Sun Jul 12 16:53:37 2026 A2: -148461251887443434508240549677 Sun Jul 12 16:53:37 2026 A3: 4136990555941660804771 Sun Jul 12 16:53:37 2026 A4: -194324876270322 Sun Jul 12 16:53:37 2026 A5: 720720 Sun Jul 12 16:53:37 2026 skew 22114984.37, size 3.697e-18, alpha -7.041, combined = 3.893e-14 rroots = 3 Sun Jul 12 16:53:37 2026 Sun Jul 12 16:53:37 2026 commencing linear algebra Sun Jul 12 16:53:37 2026 using VBITS=256 Sun Jul 12 16:53:37 2026 skipping matrix build Sun Jul 12 16:53:46 2026 matrix starts at (0, 0) Sun Jul 12 16:53:49 2026 matrix is 22550980 x 22551157 (11453.8 MB) with weight 3474642079 (154.08/col) Sun Jul 12 16:53:49 2026 sparse part has weight 2731931636 (121.14/col) Sun Jul 12 16:53:49 2026 saving the first 240 matrix rows for later Sun Jul 12 16:53:54 2026 matrix includes 256 packed rows Sun Jul 12 16:54:03 2026 matrix is 22550740 x 22551157 (10431.0 MB) with weight 2513270717 (111.45/col) Sun Jul 12 16:54:03 2026 sparse part has weight 2373597053 (105.25/col) Sun Jul 12 16:54:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Sun Jul 12 16:54:03 2026 selected card has CUDA arch 12.0 Sun Jul 12 16:54:05 2026 computed block_nnz 165550058 (L2 cache 100663296 bytes, average column weight 105.3) Sun Jul 12 16:54:05 2026 nonzeros per matrix block: 256000000 Sun Jul 12 16:58:49 2026 commencing Lanczos iteration Sun Jul 12 16:58:52 2026 memory use: 25335.3 MB Sun Jul 12 16:59:19 2026 linear algebra at 0.1%, ETA 5h18m Sun Jul 12 16:59:58 2026 checking every 70000 dimensions, checkpointing every 4270000 dimensions Sun Jul 12 22:14:52 2026 lanczos halted after 88355 iterations (dim = 22550740) Sun Jul 12 22:16:32 2026 recovered 32 nontrivial dependencies Sun Jul 12 22:16:33 2026 BLanczosTime: 19376 Sun Jul 12 22:16:33 2026 elapsed time 05:22:56 Sun Jul 12 18:20:18 2026 Sun Jul 12 18:20:18 2026 Sun Jul 12 18:20:18 2026 Msieve v. 1.54 (SVN unknown) Sun Jul 12 18:20:18 2026 random seeds: 99d4dd7b 89df7313 Sun Jul 12 18:20:18 2026 Using 8 OpenMP threads Sun Jul 12 18:20:18 2026 factoring 9124923410771437992102879711109080749761420087247245484563098263554181480152635736486236896634899181754241776580083780355086873037628307622762835274470425163131721383795056702139812228381 (187 digits) Sun Jul 12 18:20:18 2026 no P-1/P+1/ECM available, skipping Sun Jul 12 18:20:18 2026 commencing number field sieve (187-digit input) Sun Jul 12 18:20:18 2026 R0: -1908528224840676936312141246871046253 Sun Jul 12 18:20:18 2026 R1: 4652410848023323438021 Sun Jul 12 18:20:18 2026 A0: -691907076703527948862061122790199141946720 Sun Jul 12 18:20:18 2026 A1: -1109025132423443513857822945697563210 Sun Jul 12 18:20:18 2026 A2: -148461251887443434508240549677 Sun Jul 12 18:20:18 2026 A3: 4136990555941660804771 Sun Jul 12 18:20:18 2026 A4: -194324876270322 Sun Jul 12 18:20:18 2026 A5: 720720 Sun Jul 12 18:20:18 2026 skew 22114984.37, size 3.697e-18, alpha -7.041, combined = 3.893e-14 rroots = 3 Sun Jul 12 18:20:18 2026 Sun Jul 12 18:20:18 2026 commencing square root phase Sun Jul 12 18:20:18 2026 reading relations for dependency 1 Sun Jul 12 18:20:20 2026 read 11274089 cycles Sun Jul 12 18:20:36 2026 cycles contain 41187676 unique relations Sun Jul 12 18:30:17 2026 read 41187676 relations Sun Jul 12 18:34:03 2026 multiplying 41187676 relations Sun Jul 12 18:38:14 2026 multiply complete, coefficients have about 2486.42 million bits Sun Jul 12 18:38:19 2026 initial square root is modulo 377371 Sun Jul 12 18:47:20 2026 sqrtTime: 1622 Sun Jul 12 18:47:20 2026 p90 factor: 423167088303330248319394468504385557161500699156947794346515961352579778315752525680813699 Sun Jul 12 18:47:20 2026 p98 factor: 21563405243440399422079749794523827754950493104996366453223634162534927062635004692475107931261919 Sun Jul 12 18:47:20 2026 elapsed time 00:27:02