Thu Aug 20 20:37:27 2026 Thu Aug 20 20:37:27 2026 Thu Aug 20 20:37:27 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 20:37:27 2026 random seeds: 1504728e 0f769c16 Thu Aug 20 20:37:27 2026 Using 14 OpenMP threads Thu Aug 20 20:37:27 2026 factoring 91108818480178025196465965968916587290556188985715295570177349270611473429463839715197731713234760937152609432970135959601793326752199571697084563173874980197247850955589725337732814619369856442756895326286205990576761889511254621601028645533078087637 (251 digits) Thu Aug 20 20:37:27 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 20:37:27 2026 commencing number field sieve (251-digit input) Thu Aug 20 20:37:28 2026 R0: 18573177066341091649668772520265320958138649 Thu Aug 20 20:37:28 2026 R1: -1 Thu Aug 20 20:37:28 2026 A0: -21227 Thu Aug 20 20:37:28 2026 A1: 0 Thu Aug 20 20:37:28 2026 A2: 0 Thu Aug 20 20:37:28 2026 A3: 0 Thu Aug 20 20:37:28 2026 A4: 0 Thu Aug 20 20:37:28 2026 A5: 0 Thu Aug 20 20:37:28 2026 A6: 1 Thu Aug 20 20:37:28 2026 skew 6.78, size 2.813e-13, alpha 2.547, combined = 4.758e-14 rroots = 2 Thu Aug 20 20:37:28 2026 Thu Aug 20 20:37:28 2026 commencing relation filtering Thu Aug 20 20:37:28 2026 setting 3 target densities:Thu Aug 20 20:37:28 2026 80Thu Aug 20 20:37:28 2026 100Thu Aug 20 20:37:28 2026 120Thu Aug 20 20:37:28 2026 Thu Aug 20 20:37:28 2026 estimated available RAM is 78540.1 MB Thu Aug 20 20:37:28 2026 commencing duplicate removal, pass 1 Thu Aug 20 20:37:34 2026 error -1 reading relation 2854137 Thu Aug 20 20:38:05 2026 error -1 reading relation 15448046 Thu Aug 20 20:38:48 2026 error -5 reading relation 32490640 Thu Aug 20 20:39:34 2026 error -1 reading relation 70650717 Thu Aug 20 20:39:42 2026 error -1 reading relation 79792284 Thu Aug 20 20:39:53 2026 error -1 reading relation 92600694 Thu Aug 20 20:40:01 2026 error -1 reading relation 102592324 Thu Aug 20 20:40:05 2026 error -1 reading relation 106181221 Thu Aug 20 20:40:14 2026 error -1 reading relation 116556500 Thu Aug 20 20:40:18 2026 error -1 reading relation 121083661 Thu Aug 20 20:40:20 2026 error -1 reading relation 124101168 Thu Aug 20 20:40:35 2026 error -1 reading relation 140851071 Thu Aug 20 20:40:37 2026 error -1 reading relation 143484959 Thu Aug 20 20:40:39 2026 error -1 reading relation 145392328 Thu Aug 20 20:40:54 2026 error -1 reading relation 161978803 Thu Aug 20 20:41:02 2026 error -1 reading relation 169856758 Thu Aug 20 20:41:07 2026 error -1 reading relation 175133553 Thu Aug 20 20:41:07 2026 error -1 reading relation 175133796 Thu Aug 20 20:41:10 2026 error -1 reading relation 178618761 Thu Aug 20 20:41:27 2026 error -1 reading relation 198971809 Thu Aug 20 20:41:33 2026 error -1 reading relation 206070422 Thu Aug 20 20:41:35 2026 error -15 reading relation 208189861 Thu Aug 20 20:41:49 2026 error -1 reading relation 224194534 Thu Aug 20 20:41:49 2026 error -1 reading relation 224199800 Thu Aug 20 20:42:01 2026 error -1 reading relation 238400580 Thu Aug 20 20:42:01 2026 error -1 reading relation 238794633 Thu Aug 20 20:42:02 2026 error -1 reading relation 239235348 Thu Aug 20 20:42:03 2026 error -1 reading relation 240431232 Thu Aug 20 20:42:07 2026 error -1 reading relation 245148398 Thu Aug 20 20:42:07 2026 error -1 reading relation 245730822 Thu Aug 20 20:42:10 2026 error -1 reading relation 248503668 Thu Aug 20 20:42:22 2026 error -1 reading relation 262038353 Thu Aug 20 20:42:25 2026 error -1 reading relation 265325875 Thu Aug 20 20:42:26 2026 error -1 reading relation 266873005 Thu Aug 20 20:42:28 2026 error -1 reading relation 268643272 Thu Aug 20 20:42:56 2026 error -1 reading relation 298572263 Thu Aug 20 20:42:57 2026 error -1 reading relation 299530234 Thu Aug 20 20:43:00 2026 error -1 reading relation 302620548 Thu Aug 20 20:43:00 2026 error -1 reading relation 302626846 Thu Aug 20 20:43:02 2026 error -1 reading relation 305067153 Thu Aug 20 20:43:19 2026 error -1 reading relation 322558722 Thu Aug 20 20:43:21 2026 error -1 reading relation 324637827 Thu Aug 20 20:43:22 2026 error -1 reading relation 325992080 Thu Aug 20 20:43:28 2026 error -1 reading relation 331674240 Thu Aug 20 20:43:37 2026 error -5 reading relation 343005410 Thu Aug 20 20:43:43 2026 error -1 reading relation 348698082 Thu Aug 20 20:43:48 2026 error -1 reading relation 355100345 Thu Aug 20 20:43:55 2026 error -11 reading relation 362577630 Thu Aug 20 20:44:01 2026 error -1 reading relation 368968887 Thu Aug 20 20:44:02 2026 error -1 reading relation 369666028 Thu Aug 20 20:44:03 2026 error -1 reading relation 371015033 Thu Aug 20 20:44:03 2026 error -1 reading relation 371138995 Thu Aug 20 20:44:04 2026 error -1 reading relation 371706174 Thu Aug 20 20:44:04 2026 error -1 reading relation 372295653 Thu Aug 20 20:44:07 2026 error -1 reading relation 375384128 Thu Aug 20 20:44:12 2026 error -1 reading relation 381110900 Thu Aug 20 20:44:29 2026 error -1 reading relation 399929597 Thu Aug 20 20:44:29 2026 error -1 reading relation 400574060 Thu Aug 20 20:44:32 2026 error -1 reading relation 403270025 Thu Aug 20 20:44:39 2026 error -11 reading relation 412058604 Thu Aug 20 20:44:42 2026 error -11 reading relation 415619347 Thu Aug 20 20:45:00 2026 error -1 reading relation 436004785 Thu Aug 20 20:45:03 2026 error -1 reading relation 438893067 Thu Aug 20 20:45:19 2026 error -1 reading relation 457753212 Thu Aug 20 20:45:20 2026 error -1 reading relation 458013975 Thu Aug 20 20:45:22 2026 error -1 reading relation 460769499 Thu Aug 20 20:45:29 2026 error -1 reading relation 469342757 Thu Aug 20 20:45:30 2026 error -1 reading relation 470424378 Thu Aug 20 20:45:33 2026 error -1 reading relation 473765390 Thu Aug 20 20:45:35 2026 error -1 reading relation 476408067 Thu Aug 20 20:45:36 2026 error -1 reading relation 477185248 Thu Aug 20 20:45:40 2026 error -1 reading relation 481537565 Thu Aug 20 20:45:40 2026 error -1 reading relation 481537601 Thu Aug 20 20:45:40 2026 error -1 reading relation 481680120 Thu Aug 20 20:45:44 2026 error -1 reading relation 486163670 Thu Aug 20 20:45:47 2026 error -1 reading relation 489669092 Thu Aug 20 20:46:07 2026 error -1 reading relation 513529783 Thu Aug 20 20:46:11 2026 error -1 reading relation 518289123 Thu Aug 20 20:46:24 2026 error -1 reading relation 534271033 Thu Aug 20 20:46:33 2026 error -1 reading relation 543401736 Thu Aug 20 20:46:54 2026 error -1 reading relation 556373872 Thu Aug 20 20:47:19 2026 error -1 reading relation 583359489 Thu Aug 20 20:47:21 2026 error -15 reading relation 585877392 Thu Aug 20 20:47:26 2026 error -1 reading relation 592613726 Thu Aug 20 20:47:35 2026 error -1 reading relation 601650400 Thu Aug 20 20:47:39 2026 error -1 reading relation 606748365 Thu Aug 20 20:47:41 2026 error -5 reading relation 608259423 Thu Aug 20 20:47:42 2026 error -1 reading relation 609670847 Thu Aug 20 20:47:48 2026 error -1 reading relation 616087576 Thu Aug 20 20:47:49 2026 error -1 reading relation 618335419 Thu Aug 20 20:47:50 2026 error -1 reading relation 619170212 Thu Aug 20 20:47:50 2026 error -1 reading relation 619203205 Thu Aug 20 20:47:51 2026 error -1 reading relation 619390095 Thu Aug 20 20:47:51 2026 error -1 reading relation 619785177 Thu Aug 20 20:47:53 2026 error -1 reading relation 621710748 Thu Aug 20 20:47:53 2026 error -1 reading relation 622343923 Thu Aug 20 20:47:54 2026 error -1 reading relation 622840037 Thu Aug 20 20:47:54 2026 error -1 reading relation 623358149 Thu Aug 20 20:47:58 2026 error -1 reading relation 627959148 Thu Aug 20 20:48:00 2026 error -1 reading relation 630188107 Thu Aug 20 20:48:08 2026 error -1 reading relation 636596164 Thu Aug 20 20:48:08 2026 error -1 reading relation 636742703 Thu Aug 20 20:48:10 2026 error -1 reading relation 637990475 Thu Aug 20 20:48:15 2026 error -1 reading relation 644448547 Thu Aug 20 20:48:16 2026 error -1 reading relation 645277608 Thu Aug 20 20:48:17 2026 error -1 reading relation 646537790 Thu Aug 20 20:48:18 2026 error -1 reading relation 647921272 Thu Aug 20 20:48:19 2026 error -1 reading relation 648819255 Thu Aug 20 20:48:21 2026 skipped 203 relations with b > 2^32 Thu Aug 20 20:48:21 2026 skipped 2 relations with composite factors Thu Aug 20 20:48:21 2026 skipped 1001 malformed relations Thu Aug 20 20:48:21 2026 found 120075307 hash collisions in 651418254 relations Thu Aug 20 20:48:27 2026 added 1219271 free relations Thu Aug 20 20:48:27 2026 commencing duplicate removal, pass 2 Thu Aug 20 20:53:22 2026 found 120110569 duplicates and 532526956 unique relations Thu Aug 20 20:53:22 2026 memory use: 3411.0 MB Thu Aug 20 20:53:23 2026 reading ideals above 276758528 Thu Aug 20 20:53:23 2026 commencing singleton removal, initial pass Thu Aug 20 21:08:02 2026 memory use: 11024.0 MB Thu Aug 20 21:08:03 2026 reading all ideals from disk Thu Aug 20 21:08:07 2026 memory use: 13942.0 MB Thu Aug 20 21:08:22 2026 commencing in-memory singleton removal Thu Aug 20 21:08:25 2026 begin with 532526956 relations and 454438613 unique ideals Thu Aug 20 21:08:50 2026 reduce to 341651377 relations and 244336713 ideals in 14 passes Thu Aug 20 21:08:50 2026 max relations containing the same ideal: 34 Thu Aug 20 21:08:56 2026 reading ideals above 720000 Thu Aug 20 21:08:57 2026 commencing singleton removal, initial pass Thu Aug 20 21:25:06 2026 memory use: 6024.0 MB Thu Aug 20 21:25:06 2026 reading all ideals from disk Thu Aug 20 21:25:14 2026 memory use: 17029.7 MB Thu Aug 20 21:25:34 2026 keeping 272694851 ideals with weight <= 200, target excess is 1757426 Thu Aug 20 21:26:02 2026 commencing in-memory singleton removal Thu Aug 20 21:26:06 2026 begin with 341651377 relations and 272694851 unique ideals Thu Aug 20 21:26:30 2026 reduce to 341650432 relations and 272693906 ideals in 6 passes Thu Aug 20 21:26:30 2026 max relations containing the same ideal: 200 Thu Aug 20 21:28:37 2026 removing 13928570 relations and 11928570 ideals in 2000000 cliques Thu Aug 20 21:28:42 2026 commencing in-memory singleton removal Thu Aug 20 21:28:47 2026 begin with 327721862 relations and 272693906 unique ideals Thu Aug 20 21:29:19 2026 reduce to 327290364 relations and 260330238 ideals in 9 passes Thu Aug 20 21:29:19 2026 max relations containing the same ideal: 200 Thu Aug 20 21:31:21 2026 removing 10498708 relations and 8498708 ideals in 2000000 cliques Thu Aug 20 21:31:26 2026 commencing in-memory singleton removal Thu Aug 20 21:31:31 2026 begin with 316791656 relations and 260330238 unique ideals Thu Aug 20 21:31:56 2026 reduce to 316519882 relations and 251557896 ideals in 7 passes Thu Aug 20 21:31:56 2026 max relations containing the same ideal: 198 Thu Aug 20 21:33:54 2026 removing 9413767 relations and 7413767 ideals in 2000000 cliques Thu Aug 20 21:33:59 2026 commencing in-memory singleton removal Thu Aug 20 21:34:04 2026 begin with 307106115 relations and 251557896 unique ideals Thu Aug 20 21:34:24 2026 reduce to 306876342 relations and 243912866 ideals in 6 passes Thu Aug 20 21:34:24 2026 max relations containing the same ideal: 196 Thu Aug 20 21:36:19 2026 removing 8796086 relations and 6796086 ideals in 2000000 cliques Thu Aug 20 21:36:24 2026 commencing in-memory singleton removal Thu Aug 20 21:36:29 2026 begin with 298080256 relations and 243912866 unique ideals Thu Aug 20 21:36:50 2026 reduce to 297870219 relations and 236905319 ideals in 8 passes Thu Aug 20 21:36:50 2026 max relations containing the same ideal: 195 Thu Aug 20 21:38:21 2026 removing 8385851 relations and 6385851 ideals in 2000000 cliques Thu Aug 20 21:38:25 2026 commencing in-memory singleton removal Thu Aug 20 21:38:29 2026 begin with 289484368 relations and 236905319 unique ideals Thu Aug 20 21:38:48 2026 reduce to 289287371 relations and 230321138 ideals in 7 passes Thu Aug 20 21:38:48 2026 max relations containing the same ideal: 190 Thu Aug 20 21:40:13 2026 removing 8088011 relations and 6088011 ideals in 2000000 cliques Thu Aug 20 21:40:18 2026 commencing in-memory singleton removal Thu Aug 20 21:40:22 2026 begin with 281199360 relations and 230321138 unique ideals Thu Aug 20 21:40:39 2026 reduce to 281009774 relations and 224042271 ideals in 6 passes Thu Aug 20 21:40:39 2026 max relations containing the same ideal: 188 Thu Aug 20 21:42:05 2026 removing 7863365 relations and 5863365 ideals in 2000000 cliques Thu Aug 20 21:42:09 2026 commencing in-memory singleton removal Thu Aug 20 21:42:13 2026 begin with 273146409 relations and 224042271 unique ideals Thu Aug 20 21:42:29 2026 reduce to 272961011 relations and 217992240 ideals in 6 passes Thu Aug 20 21:42:29 2026 max relations containing the same ideal: 186 Thu Aug 20 21:43:50 2026 removing 7684530 relations and 5684530 ideals in 2000000 cliques Thu Aug 20 21:43:55 2026 commencing in-memory singleton removal Thu Aug 20 21:43:58 2026 begin with 265276481 relations and 217992240 unique ideals Thu Aug 20 21:44:13 2026 reduce to 265095725 relations and 212125687 ideals in 7 passes Thu Aug 20 21:44:13 2026 max relations containing the same ideal: 183 Thu Aug 20 21:45:20 2026 removing 7542898 relations and 5542898 ideals in 2000000 cliques Thu Aug 20 21:45:24 2026 commencing in-memory singleton removal Thu Aug 20 21:45:27 2026 begin with 257552827 relations and 212125687 unique ideals Thu Aug 20 21:45:37 2026 reduce to 257374557 relations and 206403137 ideals in 6 passes Thu Aug 20 21:45:37 2026 max relations containing the same ideal: 179 Thu Aug 20 21:46:39 2026 removing 7434434 relations and 5434434 ideals in 2000000 cliques Thu Aug 20 21:46:42 2026 commencing in-memory singleton removal Thu Aug 20 21:46:46 2026 begin with 249940123 relations and 206403137 unique ideals Thu Aug 20 21:46:58 2026 reduce to 249763120 relations and 200790418 ideals in 7 passes Thu Aug 20 21:46:58 2026 max relations containing the same ideal: 173 Thu Aug 20 21:48:00 2026 removing 7338463 relations and 5338463 ideals in 2000000 cliques Thu Aug 20 21:48:04 2026 commencing in-memory singleton removal Thu Aug 20 21:48:07 2026 begin with 242424657 relations and 200790418 unique ideals Thu Aug 20 21:48:19 2026 reduce to 242246216 relations and 195272124 ideals in 7 passes Thu Aug 20 21:48:19 2026 max relations containing the same ideal: 172 Thu Aug 20 21:49:20 2026 removing 7264274 relations and 5264274 ideals in 2000000 cliques Thu Aug 20 21:49:23 2026 commencing in-memory singleton removal Thu Aug 20 21:49:26 2026 begin with 234981942 relations and 195272124 unique ideals Thu Aug 20 21:49:37 2026 reduce to 234803273 relations and 189827733 ideals in 6 passes Thu Aug 20 21:49:37 2026 max relations containing the same ideal: 167 Thu Aug 20 21:50:38 2026 removing 7200211 relations and 5200211 ideals in 2000000 cliques Thu Aug 20 21:50:42 2026 commencing in-memory singleton removal Thu Aug 20 21:50:45 2026 begin with 227603062 relations and 189827733 unique ideals Thu Aug 20 21:50:54 2026 reduce to 227420812 relations and 184443777 ideals in 6 passes Thu Aug 20 21:50:54 2026 max relations containing the same ideal: 164 Thu Aug 20 21:51:48 2026 removing 7148339 relations and 5148339 ideals in 2000000 cliques Thu Aug 20 21:51:51 2026 commencing in-memory singleton removal Thu Aug 20 21:51:54 2026 begin with 220272473 relations and 184443777 unique ideals Thu Aug 20 21:52:03 2026 reduce to 220088935 relations and 179110278 ideals in 6 passes Thu Aug 20 21:52:03 2026 max relations containing the same ideal: 161 Thu Aug 20 21:52:55 2026 removing 7108604 relations and 5108604 ideals in 2000000 cliques Thu Aug 20 21:52:58 2026 commencing in-memory singleton removal Thu Aug 20 21:53:00 2026 begin with 212980331 relations and 179110278 unique ideals Thu Aug 20 21:53:11 2026 reduce to 212793529 relations and 173813197 ideals in 6 passes Thu Aug 20 21:53:11 2026 max relations containing the same ideal: 156 Thu Aug 20 21:54:10 2026 removing 7074402 relations and 5074402 ideals in 2000000 cliques Thu Aug 20 21:54:13 2026 commencing in-memory singleton removal Thu Aug 20 21:54:16 2026 begin with 205719127 relations and 173813197 unique ideals Thu Aug 20 21:54:25 2026 reduce to 205527895 relations and 168545770 ideals in 6 passes Thu Aug 20 21:54:25 2026 max relations containing the same ideal: 153 Thu Aug 20 21:55:22 2026 removing 7049132 relations and 5049132 ideals in 2000000 cliques Thu Aug 20 21:55:25 2026 commencing in-memory singleton removal Thu Aug 20 21:55:28 2026 begin with 198478763 relations and 168545770 unique ideals Thu Aug 20 21:55:39 2026 reduce to 198283372 relations and 163299316 ideals in 7 passes Thu Aug 20 21:55:39 2026 max relations containing the same ideal: 150 Thu Aug 20 21:56:37 2026 removing 7035512 relations and 5035512 ideals in 2000000 cliques Thu Aug 20 21:56:40 2026 commencing in-memory singleton removal Thu Aug 20 21:56:43 2026 begin with 191247860 relations and 163299316 unique ideals Thu Aug 20 21:56:53 2026 reduce to 191047305 relations and 158061247 ideals in 7 passes Thu Aug 20 21:56:53 2026 max relations containing the same ideal: 148 Thu Aug 20 21:57:46 2026 removing 7023983 relations and 5023983 ideals in 2000000 cliques Thu Aug 20 21:57:49 2026 commencing in-memory singleton removal Thu Aug 20 21:57:52 2026 begin with 184023322 relations and 158061247 unique ideals Thu Aug 20 21:58:01 2026 reduce to 183816000 relations and 152827719 ideals in 7 passes Thu Aug 20 21:58:01 2026 max relations containing the same ideal: 145 Thu Aug 20 21:58:54 2026 removing 7020671 relations and 5020671 ideals in 2000000 cliques Thu Aug 20 21:58:57 2026 commencing in-memory singleton removal Thu Aug 20 21:58:59 2026 begin with 176795329 relations and 152827719 unique ideals Thu Aug 20 21:59:08 2026 reduce to 176581769 relations and 147591179 ideals in 6 passes Thu Aug 20 21:59:08 2026 max relations containing the same ideal: 142 Thu Aug 20 21:59:58 2026 removing 7021339 relations and 5021339 ideals in 2000000 cliques Thu Aug 20 22:00:01 2026 commencing in-memory singleton removal Thu Aug 20 22:00:04 2026 begin with 169560430 relations and 147591179 unique ideals Thu Aug 20 22:00:13 2026 reduce to 169338200 relations and 142345209 ideals in 7 passes Thu Aug 20 22:00:13 2026 max relations containing the same ideal: 136 Thu Aug 20 22:01:02 2026 removing 7032701 relations and 5032701 ideals in 2000000 cliques Thu Aug 20 22:01:05 2026 commencing in-memory singleton removal Thu Aug 20 22:01:07 2026 begin with 162305499 relations and 142345209 unique ideals Thu Aug 20 22:01:15 2026 reduce to 162075087 relations and 137079421 ideals in 6 passes Thu Aug 20 22:01:15 2026 max relations containing the same ideal: 131 Thu Aug 20 22:02:02 2026 removing 7050214 relations and 5050214 ideals in 2000000 cliques Thu Aug 20 22:02:05 2026 commencing in-memory singleton removal Thu Aug 20 22:02:07 2026 begin with 155024873 relations and 137079421 unique ideals Thu Aug 20 22:02:14 2026 reduce to 154783980 relations and 131785400 ideals in 6 passes Thu Aug 20 22:02:14 2026 max relations containing the same ideal: 126 Thu Aug 20 22:03:04 2026 removing 7078186 relations and 5078186 ideals in 2000000 cliques Thu Aug 20 22:03:06 2026 commencing in-memory singleton removal Thu Aug 20 22:03:08 2026 begin with 147705794 relations and 131785400 unique ideals Thu Aug 20 22:03:16 2026 reduce to 147452885 relations and 126451180 ideals in 7 passes Thu Aug 20 22:03:16 2026 max relations containing the same ideal: 122 Thu Aug 20 22:04:10 2026 removing 7103084 relations and 5103084 ideals in 2000000 cliques Thu Aug 20 22:04:13 2026 commencing in-memory singleton removal Thu Aug 20 22:04:16 2026 begin with 140349801 relations and 126451180 unique ideals Thu Aug 20 22:04:29 2026 reduce to 140081920 relations and 121076765 ideals in 7 passes Thu Aug 20 22:04:29 2026 max relations containing the same ideal: 117 Thu Aug 20 22:05:21 2026 removing 7143812 relations and 5143812 ideals in 2000000 cliques Thu Aug 20 22:05:23 2026 commencing in-memory singleton removal Thu Aug 20 22:05:25 2026 begin with 132938108 relations and 121076765 unique ideals Thu Aug 20 22:05:34 2026 reduce to 132654711 relations and 115645745 ideals in 7 passes Thu Aug 20 22:05:34 2026 max relations containing the same ideal: 113 Thu Aug 20 22:06:16 2026 removing 7192778 relations and 5192778 ideals in 2000000 cliques Thu Aug 20 22:06:17 2026 commencing in-memory singleton removal Thu Aug 20 22:06:19 2026 begin with 125461933 relations and 115645745 unique ideals Thu Aug 20 22:06:26 2026 reduce to 125159271 relations and 110146192 ideals in 7 passes Thu Aug 20 22:06:26 2026 max relations containing the same ideal: 109 Thu Aug 20 22:07:06 2026 removing 7246871 relations and 5246871 ideals in 2000000 cliques Thu Aug 20 22:07:09 2026 commencing in-memory singleton removal Thu Aug 20 22:07:10 2026 begin with 117912400 relations and 110146192 unique ideals Thu Aug 20 22:07:17 2026 reduce to 117588178 relations and 104570429 ideals in 7 passes Thu Aug 20 22:07:17 2026 max relations containing the same ideal: 106 Thu Aug 20 22:07:54 2026 removing 7317373 relations and 5317373 ideals in 2000000 cliques Thu Aug 20 22:07:56 2026 commencing in-memory singleton removal Thu Aug 20 22:07:57 2026 begin with 110270805 relations and 104570429 unique ideals Thu Aug 20 22:08:03 2026 reduce to 109922871 relations and 98899857 ideals in 6 passes Thu Aug 20 22:08:03 2026 max relations containing the same ideal: 103 Thu Aug 20 22:08:38 2026 removing 7397304 relations and 5397304 ideals in 2000000 cliques Thu Aug 20 22:08:41 2026 commencing in-memory singleton removal Thu Aug 20 22:08:42 2026 begin with 102525567 relations and 98899857 unique ideals Thu Aug 20 22:08:49 2026 reduce to 102145409 relations and 93116148 ideals in 8 passes Thu Aug 20 22:08:49 2026 max relations containing the same ideal: 96 Thu Aug 20 22:09:21 2026 removing 7489149 relations and 5489149 ideals in 2000000 cliques Thu Aug 20 22:09:23 2026 commencing in-memory singleton removal Thu Aug 20 22:09:24 2026 begin with 94656260 relations and 93116148 unique ideals Thu Aug 20 22:09:30 2026 reduce to 94235006 relations and 87198705 ideals in 9 passes Thu Aug 20 22:09:30 2026 max relations containing the same ideal: 92 Thu Aug 20 22:10:01 2026 removing 7604221 relations and 5604221 ideals in 2000000 cliques Thu Aug 20 22:10:03 2026 commencing in-memory singleton removal Thu Aug 20 22:10:04 2026 begin with 86630785 relations and 87198705 unique ideals Thu Aug 20 22:10:09 2026 reduce to 86160757 relations and 81115984 ideals in 7 passes Thu Aug 20 22:10:09 2026 max relations containing the same ideal: 87 Thu Aug 20 22:10:37 2026 removing 7729710 relations and 5729710 ideals in 2000000 cliques Thu Aug 20 22:10:39 2026 commencing in-memory singleton removal Thu Aug 20 22:10:40 2026 begin with 78431047 relations and 81115984 unique ideals Thu Aug 20 22:10:45 2026 reduce to 77895230 relations and 74839919 ideals in 8 passes Thu Aug 20 22:10:45 2026 max relations containing the same ideal: 79 Thu Aug 20 22:11:11 2026 removing 4588031 relations and 3571335 ideals in 1016696 cliques Thu Aug 20 22:11:13 2026 commencing in-memory singleton removal Thu Aug 20 22:11:13 2026 begin with 73307199 relations and 74839919 unique ideals Thu Aug 20 22:11:18 2026 reduce to 73111187 relations and 71070564 ideals in 8 passes Thu Aug 20 22:11:18 2026 max relations containing the same ideal: 75 Thu Aug 20 22:11:42 2026 trying target density 80 Thu Aug 20 22:11:48 2026 relations with 0 large ideals: 66067 Thu Aug 20 22:11:48 2026 relations with 1 large ideals: 30262 Thu Aug 20 22:11:48 2026 relations with 2 large ideals: 421233 Thu Aug 20 22:11:48 2026 relations with 3 large ideals: 2570016 Thu Aug 20 22:11:48 2026 relations with 4 large ideals: 8429457 Thu Aug 20 22:11:48 2026 relations with 5 large ideals: 16359315 Thu Aug 20 22:11:48 2026 relations with 6 large ideals: 19690875 Thu Aug 20 22:11:48 2026 relations with 7+ large ideals: 25543962 Thu Aug 20 22:11:48 2026 commencing 2-way merge Thu Aug 20 22:12:33 2026 reduce to 45893996 relation sets and 43853373 unique ideals Thu Aug 20 22:12:33 2026 commencing full merge Thu Aug 20 22:21:34 2026 memory use: 5486.7 MB Thu Aug 20 22:21:37 2026 found 23926295 cycles, need 23645573 Thu Aug 20 22:21:43 2026 weight of 23645573 cycles is about 1891960331 (80.01/cycle) Thu Aug 20 22:21:43 2026 distribution of cycle lengths: Thu Aug 20 22:21:43 2026 1 relations: 2616884 Thu Aug 20 22:21:43 2026 2 relations: 2543514 Thu Aug 20 22:21:43 2026 3 relations: 2526681 Thu Aug 20 22:21:43 2026 4 relations: 2417083 Thu Aug 20 22:21:43 2026 5 relations: 2344204 Thu Aug 20 22:21:43 2026 6 relations: 2163987 Thu Aug 20 22:21:43 2026 7 relations: 1966629 Thu Aug 20 22:21:43 2026 8 relations: 1712462 Thu Aug 20 22:21:43 2026 9 relations: 1432838 Thu Aug 20 22:21:43 2026 10+ relations: 3921291 Thu Aug 20 22:21:43 2026 heaviest cycle: 21 relations Thu Aug 20 22:21:47 2026 commencing cycle optimization Thu Aug 20 22:22:15 2026 start with 136596852 relations Thu Aug 20 22:24:39 2026 pruned 3524821 relations Thu Aug 20 22:24:40 2026 memory use: 4402.5 MB Thu Aug 20 22:24:40 2026 distribution of cycle lengths: Thu Aug 20 22:24:40 2026 1 relations: 2616884 Thu Aug 20 22:24:40 2026 2 relations: 2593249 Thu Aug 20 22:24:40 2026 3 relations: 2611101 Thu Aug 20 22:24:40 2026 4 relations: 2484191 Thu Aug 20 22:24:40 2026 5 relations: 2416419 Thu Aug 20 22:24:40 2026 6 relations: 2219079 Thu Aug 20 22:24:40 2026 7 relations: 2011323 Thu Aug 20 22:24:40 2026 8 relations: 1730024 Thu Aug 20 22:24:40 2026 9 relations: 1429998 Thu Aug 20 22:24:40 2026 10+ relations: 3533305 Thu Aug 20 22:24:40 2026 heaviest cycle: 20 relations Thu Aug 20 22:25:07 2026 trying target density 100 Thu Aug 20 22:25:12 2026 relations with 0 large ideals: 66067 Thu Aug 20 22:25:12 2026 relations with 1 large ideals: 30262 Thu Aug 20 22:25:12 2026 relations with 2 large ideals: 421233 Thu Aug 20 22:25:12 2026 relations with 3 large ideals: 2570016 Thu Aug 20 22:25:12 2026 relations with 4 large ideals: 8429457 Thu Aug 20 22:25:12 2026 relations with 5 large ideals: 16359315 Thu Aug 20 22:25:12 2026 relations with 6 large ideals: 19690875 Thu Aug 20 22:25:12 2026 relations with 7+ large ideals: 25543962 Thu Aug 20 22:25:12 2026 commencing 2-way merge Thu Aug 20 22:25:43 2026 reduce to 45893996 relation sets and 43853373 unique ideals Thu Aug 20 22:25:43 2026 commencing full merge Thu Aug 20 22:36:18 2026 memory use: 5698.0 MB Thu Aug 20 22:36:21 2026 found 22128175 cycles, need 21871573 Thu Aug 20 22:36:26 2026 weight of 21871573 cycles is about 2187552853 (100.02/cycle) Thu Aug 20 22:36:26 2026 distribution of cycle lengths: Thu Aug 20 22:36:26 2026 1 relations: 1758503 Thu Aug 20 22:36:26 2026 2 relations: 1818891 Thu Aug 20 22:36:26 2026 3 relations: 1852075 Thu Aug 20 22:36:26 2026 4 relations: 1838729 Thu Aug 20 22:36:26 2026 5 relations: 1818764 Thu Aug 20 22:36:26 2026 6 relations: 1745706 Thu Aug 20 22:36:26 2026 7 relations: 1681298 Thu Aug 20 22:36:26 2026 8 relations: 1565687 Thu Aug 20 22:36:26 2026 9 relations: 1424986 Thu Aug 20 22:36:26 2026 10+ relations: 6366934 Thu Aug 20 22:36:26 2026 heaviest cycle: 25 relations Thu Aug 20 22:36:30 2026 commencing cycle optimization Thu Aug 20 22:37:02 2026 start with 158294942 relations Thu Aug 20 22:40:34 2026 pruned 5419896 relations Thu Aug 20 22:40:36 2026 memory use: 4632.4 MB Thu Aug 20 22:40:36 2026 distribution of cycle lengths: Thu Aug 20 22:40:36 2026 1 relations: 1758503 Thu Aug 20 22:40:36 2026 2 relations: 1857018 Thu Aug 20 22:40:36 2026 3 relations: 1920596 Thu Aug 20 22:40:36 2026 4 relations: 1900408 Thu Aug 20 22:40:36 2026 5 relations: 1889684 Thu Aug 20 22:40:36 2026 6 relations: 1811073 Thu Aug 20 22:40:36 2026 7 relations: 1744695 Thu Aug 20 22:40:36 2026 8 relations: 1616159 Thu Aug 20 22:40:36 2026 9 relations: 1462382 Thu Aug 20 22:40:36 2026 10+ relations: 5911055 Thu Aug 20 22:40:36 2026 heaviest cycle: 25 relations Thu Aug 20 22:41:03 2026 trying target density 120 Thu Aug 20 22:41:08 2026 relations with 0 large ideals: 66067 Thu Aug 20 22:41:08 2026 relations with 1 large ideals: 30262 Thu Aug 20 22:41:08 2026 relations with 2 large ideals: 421233 Thu Aug 20 22:41:08 2026 relations with 3 large ideals: 2570016 Thu Aug 20 22:41:08 2026 relations with 4 large ideals: 8429457 Thu Aug 20 22:41:08 2026 relations with 5 large ideals: 16359315 Thu Aug 20 22:41:08 2026 relations with 6 large ideals: 19690875 Thu Aug 20 22:41:08 2026 relations with 7+ large ideals: 25543962 Thu Aug 20 22:41:08 2026 commencing 2-way merge Thu Aug 20 22:41:38 2026 reduce to 45893996 relation sets and 43853373 unique ideals Thu Aug 20 22:41:38 2026 commencing full merge Thu Aug 20 22:54:36 2026 memory use: 5843.6 MB Thu Aug 20 22:54:40 2026 found 20784644 cycles, need 20631573 Thu Aug 20 22:54:45 2026 weight of 20631573 cycles is about 2475998456 (120.01/cycle) Thu Aug 20 22:54:45 2026 distribution of cycle lengths: Thu Aug 20 22:54:45 2026 1 relations: 1240705 Thu Aug 20 22:54:45 2026 2 relations: 1381937 Thu Aug 20 22:54:45 2026 3 relations: 1455724 Thu Aug 20 22:54:45 2026 4 relations: 1455449 Thu Aug 20 22:54:45 2026 5 relations: 1462349 Thu Aug 20 22:54:45 2026 6 relations: 1430770 Thu Aug 20 22:54:45 2026 7 relations: 1407955 Thu Aug 20 22:54:45 2026 8 relations: 1352058 Thu Aug 20 22:54:45 2026 9 relations: 1292289 Thu Aug 20 22:54:45 2026 10+ relations: 8152337 Thu Aug 20 22:54:45 2026 heaviest cycle: 28 relations Thu Aug 20 22:54:48 2026 commencing cycle optimization Thu Aug 20 22:55:21 2026 start with 178946781 relations Thu Aug 20 23:00:13 2026 pruned 7451057 relations Thu Aug 20 23:00:13 2026 memory use: 4843.5 MB Thu Aug 20 23:00:13 2026 distribution of cycle lengths: Thu Aug 20 23:00:13 2026 1 relations: 1240705 Thu Aug 20 23:00:13 2026 2 relations: 1412457 Thu Aug 20 23:00:13 2026 3 relations: 1511603 Thu Aug 20 23:00:13 2026 4 relations: 1509612 Thu Aug 20 23:00:13 2026 5 relations: 1526078 Thu Aug 20 23:00:13 2026 6 relations: 1493650 Thu Aug 20 23:00:13 2026 7 relations: 1474561 Thu Aug 20 23:00:13 2026 8 relations: 1413545 Thu Aug 20 23:00:13 2026 9 relations: 1346804 Thu Aug 20 23:00:13 2026 10+ relations: 7702558 Thu Aug 20 23:00:13 2026 heaviest cycle: 28 relations Thu Aug 20 23:00:42 2026 RelProcTime: 8594 Thu Aug 20 23:00:42 2026 Thu Aug 20 23:00:42 2026 commencing linear algebra Thu Aug 20 23:00:42 2026 using VBITS=256 Thu Aug 20 23:00:42 2026 building matrices for all densities Thu Aug 20 23:00:42 2026 found 3 density files Thu Aug 20 23:00:42 2026 building matrix for density 80 Thu Aug 20 23:00:50 2026 read 23645573 cycles Thu Aug 20 23:01:23 2026 cycles contain 71923096 unique relations Thu Aug 20 23:10:03 2026 read 71923096 relations Thu Aug 20 23:10:15 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 23:10:30 2026 building initial matrix Thu Aug 20 23:18:37 2026 memory use: 9184.7 MB Thu Aug 20 23:18:47 2026 read 23645573 cycles Thu Aug 20 23:18:49 2026 matrix is 23645394 x 23645573 (7947.7 MB) with weight 2268287677 (95.93/col) Thu Aug 20 23:18:49 2026 sparse part has weight 1823352075 (77.11/col) Thu Aug 20 23:21:18 2026 filtering completed in 2 passes Thu Aug 20 23:21:22 2026 matrix is 23639074 x 23639248 (7947.3 MB) with weight 2268124831 (95.95/col) Thu Aug 20 23:21:22 2026 sparse part has weight 1823300887 (77.13/col) Thu Aug 20 23:21:56 2026 building matrix for density 100 Thu Aug 20 23:21:58 2026 read 21871573 cycles Thu Aug 20 23:22:24 2026 cycles contain 71950165 unique relations Thu Aug 20 23:31:50 2026 read 71950165 relations Thu Aug 20 23:32:06 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 23:32:22 2026 building initial matrix Thu Aug 20 23:42:31 2026 memory use: 9209.0 MB Thu Aug 20 23:43:25 2026 read 21871573 cycles Thu Aug 20 23:43:30 2026 matrix is 21871396 x 21871573 (8841.2 MB) with weight 2512250852 (114.86/col) Thu Aug 20 23:43:30 2026 sparse part has weight 2077073316 (94.97/col) Thu Aug 20 23:46:22 2026 filtering completed in 2 passes Thu Aug 20 23:46:27 2026 matrix is 21868670 x 21868843 (8840.9 MB) with weight 2512166975 (114.87/col) Thu Aug 20 23:46:27 2026 sparse part has weight 2077041997 (94.98/col) Thu Aug 20 23:47:57 2026 building matrix for density 120 Thu Aug 20 23:48:02 2026 read 20631573 cycles Thu Aug 20 23:49:42 2026 cycles contain 71957870 unique relations Thu Aug 20 23:55:05 2026 read 71957870 relations Thu Aug 20 23:55:32 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 23:55:58 2026 building initial matrix Fri Aug 21 04:45:54 2026 Fri Aug 21 04:45:54 2026 Fri Aug 21 04:45:54 2026 Msieve v. 1.54 (SVN unknown) Fri Aug 21 04:45:54 2026 random seeds: c9a5e5e5 50ecafdf Fri Aug 21 04:45:54 2026 factoring 91108818480178025196465965968916587290556188985715295570177349270611473429463839715197731713234760937152609432970135959601793326752199571697084563173874980197247850955589725337732814619369856442756895326286205990576761889511254621601028645533078087637 (251 digits) Fri Aug 21 04:45:55 2026 no P-1/P+1/ECM available, skipping Fri Aug 21 04:45:55 2026 commencing number field sieve (251-digit input) Fri Aug 21 04:45:55 2026 R0: 18573177066341091649668772520265320958138649 Fri Aug 21 04:45:55 2026 R1: -1 Fri Aug 21 04:45:55 2026 A0: -21227 Fri Aug 21 04:45:55 2026 A1: 0 Fri Aug 21 04:45:55 2026 A2: 0 Fri Aug 21 04:45:55 2026 A3: 0 Fri Aug 21 04:45:55 2026 A4: 0 Fri Aug 21 04:45:55 2026 A5: 0 Fri Aug 21 04:45:55 2026 A6: 1 Fri Aug 21 04:45:55 2026 skew 6.78, size 2.813e-13, alpha 2.547, combined = 4.758e-14 rroots = 2 Fri Aug 21 04:45:55 2026 Fri Aug 21 04:45:55 2026 commencing linear algebra Fri Aug 21 04:45:55 2026 using VBITS=256 Fri Aug 21 04:45:55 2026 skipping matrix build Fri Aug 21 04:46:02 2026 matrix starts at (0, 0) Fri Aug 21 04:46:05 2026 matrix is 21868670 x 21868843 (8840.9 MB) with weight 2512166975 (114.87/col) Fri Aug 21 04:46:05 2026 sparse part has weight 2077041997 (94.98/col) Fri Aug 21 04:46:05 2026 saving the first 240 matrix rows for later Fri Aug 21 04:46:18 2026 matrix includes 256 packed rows Fri Aug 21 04:46:29 2026 matrix is 21868430 x 21868843 (8226.6 MB) with weight 1892640470 (86.55/col) Fri Aug 21 04:46:29 2026 sparse part has weight 1806648465 (82.61/col) Fri Aug 21 04:46:29 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Fri Aug 21 04:46:29 2026 selected card has CUDA arch 12.0 Fri Aug 21 04:46:30 2026 computed block_nnz 129938850 (L2 cache 100663296 bytes, average column weight 82.6) Fri Aug 21 04:46:30 2026 nonzeros per matrix block: 256000000 Fri Aug 21 04:52:04 2026 commencing Lanczos iteration Fri Aug 21 04:52:06 2026 memory use: 20457.5 MB Fri Aug 21 04:52:24 2026 linear algebra at 0.1%, ETA 3h22m Fri Aug 21 04:52:50 2026 checking every 100000 dimensions, checkpointing every 6500000 dimensions Fri Aug 21 08:19:00 2026 lanczos halted after 85683 iterations (dim = 21868429) Fri Aug 21 08:20:58 2026 recovered 35 nontrivial dependencies Fri Aug 21 08:20:58 2026 BLanczosTime: 12903 Fri Aug 21 08:20:58 2026 elapsed time 03:35:04 Fri Aug 21 07:08:31 2026 Fri Aug 21 07:08:31 2026 Fri Aug 21 07:08:31 2026 Msieve v. 1.54 (SVN unknown) Fri Aug 21 07:08:31 2026 random seeds: f3d4f7af 230fbb4f Fri Aug 21 07:08:31 2026 Using 8 OpenMP threads Fri Aug 21 07:08:31 2026 factoring 91108818480178025196465965968916587290556188985715295570177349270611473429463839715197731713234760937152609432970135959601793326752199571697084563173874980197247850955589725337732814619369856442756895326286205990576761889511254621601028645533078087637 (251 digits) Fri Aug 21 07:08:31 2026 no P-1/P+1/ECM available, skipping Fri Aug 21 07:08:31 2026 commencing number field sieve (251-digit input) Fri Aug 21 07:08:31 2026 R0: 18573177066341091649668772520265320958138649 Fri Aug 21 07:08:31 2026 R1: -1 Fri Aug 21 07:08:31 2026 A0: -21227 Fri Aug 21 07:08:31 2026 A1: 0 Fri Aug 21 07:08:31 2026 A2: 0 Fri Aug 21 07:08:31 2026 A3: 0 Fri Aug 21 07:08:31 2026 A4: 0 Fri Aug 21 07:08:31 2026 A5: 0 Fri Aug 21 07:08:31 2026 A6: 1 Fri Aug 21 07:08:31 2026 skew 6.78, size 2.813e-13, alpha 2.547, combined = 4.758e-14 rroots = 2 Fri Aug 21 07:08:31 2026 Fri Aug 21 07:08:31 2026 commencing square root phase Fri Aug 21 07:08:31 2026 reading relations for dependency 1 Fri Aug 21 07:08:33 2026 read 10933411 cycles Fri Aug 21 07:08:48 2026 cycles contain 35976384 unique relations Fri Aug 21 07:11:08 2026 read 35976384 relations Fri Aug 21 07:13:25 2026 multiplying 35976384 relations Fri Aug 21 07:16:02 2026 multiply complete, coefficients have about 987.00 million bits Fri Aug 21 07:16:03 2026 initial square root is modulo 715923979 Fri Aug 21 07:20:47 2026 GCD is N, no factor found Fri Aug 21 07:20:47 2026 reading relations for dependency 2 Fri Aug 21 07:20:49 2026 read 10934793 cycles Fri Aug 21 07:21:04 2026 cycles contain 35977480 unique relations Fri Aug 21 07:22:41 2026 read 35977480 relations Fri Aug 21 07:25:09 2026 multiplying 35977480 relations Fri Aug 21 07:27:42 2026 multiply complete, coefficients have about 987.03 million bits Fri Aug 21 07:27:43 2026 initial square root is modulo 716397709 Fri Aug 21 07:32:12 2026 GCD is 1, no factor found Fri Aug 21 07:32:12 2026 reading relations for dependency 3 Fri Aug 21 07:32:13 2026 read 10934464 cycles Fri Aug 21 07:32:27 2026 cycles contain 35973652 unique relations Fri Aug 21 07:33:50 2026 read 35973652 relations Fri Aug 21 07:35:53 2026 multiplying 35973652 relations Fri Aug 21 07:38:03 2026 multiply complete, coefficients have about 986.93 million bits Fri Aug 21 07:38:04 2026 initial square root is modulo 714912229 Fri Aug 21 07:41:48 2026 sqrtTime: 1997 Fri Aug 21 07:41:48 2026 p99 factor: 693110049966309340698837107317865727956031346097085423900885539050050523653765337591347179468831297 Fri Aug 21 07:41:48 2026 p153 factor: 131449282093956995970374290658784714781501288141491075746475671645036433824020538113920753901336683156476131526092464644492546316685660495897188339843221 Fri Aug 21 07:41:48 2026 elapsed time 00:33:17