Thu Oct 1 15:12:19 2026 Thu Oct 1 15:12:19 2026 Thu Oct 1 15:12:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Oct 1 15:12:19 2026 random seeds: ed7ad443 8062def0 Thu Oct 1 15:12:19 2026 MPI process 0 of 1 Thu Oct 1 15:12:19 2026 Using 23 OpenMP threads Thu Oct 1 15:12:19 2026 factoring 21625930313396566831069611177563417513125747286986604923698272443297172431967652548466682018803452385932880019200197563439909349006841151422143908464055301753600338317841831571716234432576540891570299925738843 (209 digits) Thu Oct 1 15:12:20 2026 no P-1/P+1/ECM available, skipping Thu Oct 1 15:12:20 2026 commencing number field sieve (209-digit input) Thu Oct 1 15:12:20 2026 R0: -23429547183781620904771082359370003173228 Thu Oct 1 15:12:20 2026 R1: 2938855498461897355260889 Thu Oct 1 15:12:20 2026 A0: -10428556412965997964285948561571523959720200825246 Thu Oct 1 15:12:20 2026 A1: 186106143904345289264498622906853459802301 Thu Oct 1 15:12:20 2026 A2: 8936898441634207301625912533353700 Thu Oct 1 15:12:20 2026 A3: 39061707650516106184643263 Thu Oct 1 15:12:20 2026 A4: -101614744175207890 Thu Oct 1 15:12:20 2026 A5: 30630600 Thu Oct 1 15:12:20 2026 skew 297387141.56, size 2.140e-20, alpha -9.002, combined = 1.559e-15 rroots = 5 Thu Oct 1 15:12:20 2026 Thu Oct 1 15:12:20 2026 commencing relation filtering Thu Oct 1 15:12:20 2026 setting target matrix density to 110.0 Thu Oct 1 15:12:20 2026 estimated available RAM is 192068.7 MB Thu Oct 1 15:35:00 2026 staged savefile to /scratch/gchilders/msieve.dat (188919.4 MB in 1360 sec) Thu Oct 1 15:35:01 2026 commencing duplicate removal, pass 1 Thu Oct 1 15:37:39 2026 error -2 reading relation 104020519 Thu Oct 1 15:37:39 2026 error -2 reading relation 104020520 Thu Oct 1 16:01:46 2026 error -5 reading relation 1155035816 Thu Oct 1 16:03:29 2026 found 294154308 hash collisions in 1229567548 relations Thu Oct 1 16:03:29 2026 cached 1229567551 relation coordinates for pass 2 (20809.7 MB) Thu Oct 1 16:04:00 2026 added 122225 free relations Thu Oct 1 16:04:00 2026 commencing duplicate removal, pass 2 Thu Oct 1 16:12:07 2026 found 342255485 duplicates and 887434288 unique relations Thu Oct 1 16:12:08 2026 memory use: 13104.0 MB Thu Oct 1 16:12:10 2026 reading ideals above 572325888 Thu Oct 1 16:12:10 2026 commencing singleton removal, initial pass Thu Oct 1 16:38:35 2026 LP64 contains 887434288 relations and 816802608 unique large ideals Thu Oct 1 16:38:35 2026 memory use: 23772.0 MB Thu Oct 1 16:38:38 2026 preparing 64-bit LP file for common filtering Thu Oct 1 16:38:38 2026 start with 887434288 relations and 816802608 ideals Thu Oct 1 16:41:02 2026 compacted LP dataset has 887434288 relations and 816802608 large ideals Thu Oct 1 16:41:02 2026 reading all ideals from disk Thu Oct 1 16:41:13 2026 memory use: 23085.0 MB Thu Oct 1 16:41:28 2026 ideal weight profile: 816802608 ideals, 887434288 relations, base target excess 60919982, margin 9711698 Thu Oct 1 16:41:28 2026 weight <= 10: keep 788423482, bury 28379126, target excess 89299108 Thu Oct 1 16:41:28 2026 weight <= 15: keep 810530463, bury 6272145, target excess 67192127 Thu Oct 1 16:41:28 2026 weight <= 20: keep 815889541, bury 913067, target excess 61833049 Thu Oct 1 16:41:28 2026 weight <= 25: keep 816731880, bury 70728, target excess 60990710 Thu Oct 1 16:41:28 2026 weight <= 30: keep 816799673, bury 2935, target excess 60922917 Thu Oct 1 16:41:28 2026 weight <= 35: keep 816802548, bury 60, target excess 60920042 Thu Oct 1 16:41:28 2026 weight <= 40: keep 816802608, bury 0, target excess 60919982 Thu Oct 1 16:41:28 2026 weight <= 45: keep 816802608, bury 0, target excess 60919982 Thu Oct 1 16:41:28 2026 weight <= 100: keep 816802608, bury 0, target excess 60919982 Thu Oct 1 16:41:28 2026 weight <= 200: keep 816802608, bury 0, target excess 60919982 Thu Oct 1 16:41:28 2026 warning: no ideal weight cap fits a margin of 9711698 Thu Oct 1 16:41:28 2026 commencing in-memory singleton removal Thu Oct 1 16:41:45 2026 begin with 887434288 relations and 816802608 unique ideals Thu Oct 1 16:41:45 2026 memory use: 6247.7 MB Thu Oct 1 16:42:17 2026 reduce to 488199861 relations and 369978177 ideals in 4 passes Thu Oct 1 16:42:17 2026 max relations containing the same ideal: 29 Thu Oct 1 16:42:35 2026 reading ideals above 720000 Thu Oct 1 16:42:36 2026 commencing singleton removal, initial pass Thu Oct 1 17:03:55 2026 LP64 contains 488199861 relations and 429767482 unique large ideals Thu Oct 1 17:03:55 2026 memory use: 16392.0 MB Thu Oct 1 17:03:57 2026 preparing 64-bit LP file for common filtering Thu Oct 1 17:03:57 2026 start with 488199861 relations and 429767482 ideals Thu Oct 1 17:07:47 2026 compacted LP dataset has 488199861 relations and 429767482 large ideals Thu Oct 1 17:07:47 2026 reading all ideals from disk Thu Oct 1 17:08:02 2026 memory use: 26081.1 MB Thu Oct 1 17:08:27 2026 ideal weight profile: 429767482 ideals, 488199861 relations, base target excess 116225, margin 58316154 Thu Oct 1 17:08:27 2026 weight <= 10: keep 377831461, bury 51936021, target excess 52052246 Thu Oct 1 17:08:27 2026 weight <= 15: keep 390632548, bury 39134934, target excess 39251159 Thu Oct 1 17:08:27 2026 weight <= 20: keep 393926016, bury 35841466, target excess 35957691 Thu Oct 1 17:08:27 2026 weight <= 25: keep 396191518, bury 33575964, target excess 33692189 Thu Oct 1 17:08:27 2026 weight <= 30: keep 400184709, bury 29582773, target excess 29698998 Thu Oct 1 17:08:27 2026 weight <= 35: keep 405156319, bury 24611163, target excess 24727388 Thu Oct 1 17:08:27 2026 weight <= 40: keep 409382919, bury 20384563, target excess 20500788 Thu Oct 1 17:08:27 2026 weight <= 45: keep 412458226, bury 17309256, target excess 17425481 Thu Oct 1 17:08:27 2026 weight <= 100: keep 424153820, bury 5613662, target excess 5729887 Thu Oct 1 17:08:27 2026 weight <= 200: keep 427164989, bury 2602493, target excess 2718718 Thu Oct 1 17:08:27 2026 keeping 393926016 ideals with weight <= 20, target excess is 35957691 Thu Oct 1 17:10:25 2026 commencing in-memory singleton removal Thu Oct 1 17:10:36 2026 begin with 488199861 relations and 393926016 unique ideals Thu Oct 1 17:10:36 2026 memory use: 3021.4 MB Thu Oct 1 17:10:43 2026 reduce to 488126624 relations and 393852777 ideals in 1 passes Thu Oct 1 17:10:43 2026 max relations containing the same ideal: 20 Thu Oct 1 17:13:51 2026 removing 17635672 relations and 15635672 ideals in 2000000 cliques Thu Oct 1 17:13:58 2026 commencing in-memory singleton removal Thu Oct 1 17:14:11 2026 begin with 470490952 relations and 393852777 unique ideals Thu Oct 1 17:14:11 2026 memory use: 3020.9 MB Thu Oct 1 17:14:19 2026 reduce to 469980659 relations and 377703654 ideals in 1 passes Thu Oct 1 17:14:19 2026 max relations containing the same ideal: 20 Thu Oct 1 17:17:13 2026 removing 13203786 relations and 11203786 ideals in 2000000 cliques Thu Oct 1 17:17:22 2026 commencing in-memory singleton removal Thu Oct 1 17:17:34 2026 begin with 456776873 relations and 377703654 unique ideals Thu Oct 1 17:17:34 2026 memory use: 2897.7 MB Thu Oct 1 17:17:41 2026 reduce to 456460278 relations and 366181712 ideals in 1 passes Thu Oct 1 17:17:41 2026 max relations containing the same ideal: 20 Thu Oct 1 17:20:20 2026 removing 11803992 relations and 9803992 ideals in 2000000 cliques Thu Oct 1 17:20:27 2026 commencing in-memory singleton removal Thu Oct 1 17:20:38 2026 begin with 444656286 relations and 366181712 unique ideals Thu Oct 1 17:20:38 2026 memory use: 2809.7 MB Thu Oct 1 17:20:44 2026 reduce to 444389726 relations and 356109885 ideals in 1 passes Thu Oct 1 17:20:44 2026 max relations containing the same ideal: 20 Thu Oct 1 17:23:27 2026 removing 11001671 relations and 9001671 ideals in 2000000 cliques Thu Oct 1 17:23:34 2026 commencing in-memory singleton removal Thu Oct 1 17:23:44 2026 begin with 433388055 relations and 356109885 unique ideals Thu Oct 1 17:23:44 2026 memory use: 2732.9 MB Thu Oct 1 17:23:50 2026 reduce to 433145869 relations and 346864881 ideals in 1 passes Thu Oct 1 17:23:50 2026 max relations containing the same ideal: 20 Thu Oct 1 17:26:37 2026 removing 10466348 relations and 8466348 ideals in 2000000 cliques Thu Oct 1 17:26:43 2026 commencing in-memory singleton removal Thu Oct 1 17:26:55 2026 begin with 422679521 relations and 346864881 unique ideals Thu Oct 1 17:26:55 2026 memory use: 2662.4 MB Thu Oct 1 17:27:02 2026 reduce to 422452194 relations and 338170145 ideals in 1 passes Thu Oct 1 17:27:02 2026 max relations containing the same ideal: 20 Thu Oct 1 17:29:41 2026 removing 10069075 relations and 8069075 ideals in 2000000 cliques Thu Oct 1 17:29:47 2026 commencing in-memory singleton removal Thu Oct 1 17:29:56 2026 begin with 412383119 relations and 338170145 unique ideals Thu Oct 1 17:29:56 2026 memory use: 2596.0 MB Thu Oct 1 17:30:02 2026 reduce to 412163652 relations and 329880571 ideals in 1 passes Thu Oct 1 17:30:02 2026 max relations containing the same ideal: 20 Thu Oct 1 17:32:25 2026 removing 9765137 relations and 7765137 ideals in 2000000 cliques Thu Oct 1 17:32:31 2026 commencing in-memory singleton removal Thu Oct 1 17:32:40 2026 begin with 402398515 relations and 329880571 unique ideals Thu Oct 1 17:32:40 2026 memory use: 2532.8 MB Thu Oct 1 17:32:46 2026 reduce to 402184760 relations and 321900664 ideals in 1 passes Thu Oct 1 17:32:46 2026 max relations containing the same ideal: 20 Thu Oct 1 17:35:15 2026 removing 9570926 relations and 7570926 ideals in 2000000 cliques Thu Oct 1 17:35:21 2026 commencing in-memory singleton removal Thu Oct 1 17:35:32 2026 begin with 392613834 relations and 321900664 unique ideals Thu Oct 1 17:35:32 2026 memory use: 2471.9 MB Thu Oct 1 17:35:37 2026 reduce to 392405269 relations and 314120147 ideals in 1 passes Thu Oct 1 17:35:37 2026 max relations containing the same ideal: 20 Thu Oct 1 17:38:10 2026 removing 9338286 relations and 7338286 ideals in 2000000 cliques Thu Oct 1 17:38:16 2026 commencing in-memory singleton removal Thu Oct 1 17:38:25 2026 begin with 383066983 relations and 314120147 unique ideals Thu Oct 1 17:38:25 2026 memory use: 2412.5 MB Thu Oct 1 17:38:31 2026 reduce to 382858084 relations and 306571893 ideals in 1 passes Thu Oct 1 17:38:31 2026 max relations containing the same ideal: 20 Thu Oct 1 17:40:46 2026 removing 9206682 relations and 7206682 ideals in 2000000 cliques Thu Oct 1 17:40:52 2026 commencing in-memory singleton removal Thu Oct 1 17:40:59 2026 begin with 373651402 relations and 306571893 unique ideals Thu Oct 1 17:40:59 2026 memory use: 2355.0 MB Thu Oct 1 17:41:04 2026 reduce to 373443282 relations and 299156028 ideals in 1 passes Thu Oct 1 17:41:04 2026 max relations containing the same ideal: 20 Thu Oct 1 17:43:19 2026 removing 9069907 relations and 7069907 ideals in 2000000 cliques Thu Oct 1 17:43:25 2026 commencing in-memory singleton removal Thu Oct 1 17:43:35 2026 begin with 364373375 relations and 299156028 unique ideals Thu Oct 1 17:43:35 2026 memory use: 2298.4 MB Thu Oct 1 17:43:40 2026 reduce to 364163884 relations and 291875564 ideals in 1 passes Thu Oct 1 17:43:40 2026 max relations containing the same ideal: 20 Thu Oct 1 17:45:56 2026 removing 8985957 relations and 6985957 ideals in 2000000 cliques Thu Oct 1 17:46:01 2026 commencing in-memory singleton removal Thu Oct 1 17:46:10 2026 begin with 355177927 relations and 291875564 unique ideals Thu Oct 1 17:46:10 2026 memory use: 2242.8 MB Thu Oct 1 17:46:15 2026 reduce to 354968313 relations and 284678915 ideals in 1 passes Thu Oct 1 17:46:15 2026 max relations containing the same ideal: 20 Thu Oct 1 17:48:29 2026 removing 8968734 relations and 6968734 ideals in 2000000 cliques Thu Oct 1 17:48:35 2026 commencing in-memory singleton removal Thu Oct 1 17:48:44 2026 begin with 345999579 relations and 284678915 unique ideals Thu Oct 1 17:48:44 2026 memory use: 2187.9 MB Thu Oct 1 17:48:49 2026 reduce to 345790759 relations and 277500220 ideals in 1 passes Thu Oct 1 17:48:49 2026 max relations containing the same ideal: 20 Thu Oct 1 17:50:32 2026 removing 8788191 relations and 6788191 ideals in 2000000 cliques Thu Oct 1 17:50:37 2026 commencing in-memory singleton removal Thu Oct 1 17:50:44 2026 begin with 337002568 relations and 277500220 unique ideals Thu Oct 1 17:50:44 2026 memory use: 2133.2 MB Thu Oct 1 17:50:49 2026 reduce to 336784182 relations and 270492407 ideals in 1 passes Thu Oct 1 17:50:49 2026 max relations containing the same ideal: 20 Thu Oct 1 17:52:20 2026 removing 8762784 relations and 6762784 ideals in 2000000 cliques Thu Oct 1 17:52:24 2026 commencing in-memory singleton removal Thu Oct 1 17:52:32 2026 begin with 328021398 relations and 270492407 unique ideals Thu Oct 1 17:52:32 2026 memory use: 2079.7 MB Thu Oct 1 17:52:36 2026 reduce to 327796865 relations and 263503751 ideals in 1 passes Thu Oct 1 17:52:36 2026 max relations containing the same ideal: 20 Thu Oct 1 17:54:10 2026 removing 8786252 relations and 6786252 ideals in 2000000 cliques Thu Oct 1 17:54:14 2026 commencing in-memory singleton removal Thu Oct 1 17:54:22 2026 begin with 319010613 relations and 263503751 unique ideals Thu Oct 1 17:54:22 2026 memory use: 2026.4 MB Thu Oct 1 17:54:26 2026 reduce to 318784940 relations and 256490483 ideals in 1 passes Thu Oct 1 17:54:26 2026 max relations containing the same ideal: 20 Thu Oct 1 17:55:52 2026 removing 8725369 relations and 6725369 ideals in 2000000 cliques Thu Oct 1 17:55:56 2026 commencing in-memory singleton removal Thu Oct 1 17:56:03 2026 begin with 310059571 relations and 256490483 unique ideals Thu Oct 1 17:56:03 2026 memory use: 1972.9 MB Thu Oct 1 17:56:07 2026 reduce to 309826321 relations and 249530395 ideals in 1 passes Thu Oct 1 17:56:07 2026 max relations containing the same ideal: 20 Thu Oct 1 17:57:31 2026 removing 8727220 relations and 6727220 ideals in 2000000 cliques Thu Oct 1 17:57:35 2026 commencing in-memory singleton removal Thu Oct 1 17:57:42 2026 begin with 301099101 relations and 249530395 unique ideals Thu Oct 1 17:57:42 2026 memory use: 1919.8 MB Thu Oct 1 17:57:45 2026 reduce to 300861115 relations and 242563751 ideals in 1 passes Thu Oct 1 17:57:45 2026 max relations containing the same ideal: 20 Thu Oct 1 17:59:14 2026 removing 8678341 relations and 6678341 ideals in 2000000 cliques Thu Oct 1 17:59:18 2026 commencing in-memory singleton removal Thu Oct 1 17:59:26 2026 begin with 292182774 relations and 242563751 unique ideals Thu Oct 1 17:59:26 2026 memory use: 1866.6 MB Thu Oct 1 17:59:30 2026 reduce to 291935281 relations and 235636287 ideals in 1 passes Thu Oct 1 17:59:30 2026 max relations containing the same ideal: 20 Thu Oct 1 18:00:56 2026 removing 8755043 relations and 6755043 ideals in 2000000 cliques Thu Oct 1 18:01:00 2026 commencing in-memory singleton removal Thu Oct 1 18:01:07 2026 begin with 283180238 relations and 235636287 unique ideals Thu Oct 1 18:01:07 2026 memory use: 1813.8 MB Thu Oct 1 18:01:11 2026 reduce to 282927550 relations and 228626800 ideals in 1 passes Thu Oct 1 18:01:11 2026 max relations containing the same ideal: 20 Thu Oct 1 18:02:40 2026 removing 8726372 relations and 6726372 ideals in 2000000 cliques Thu Oct 1 18:02:44 2026 commencing in-memory singleton removal Thu Oct 1 18:02:50 2026 begin with 274201178 relations and 228626800 unique ideals Thu Oct 1 18:02:50 2026 memory use: 1760.3 MB Thu Oct 1 18:02:54 2026 reduce to 273934955 relations and 221632267 ideals in 1 passes Thu Oct 1 18:02:54 2026 max relations containing the same ideal: 20 Thu Oct 1 18:04:19 2026 removing 8780647 relations and 6780647 ideals in 2000000 cliques Thu Oct 1 18:04:23 2026 commencing in-memory singleton removal Thu Oct 1 18:04:30 2026 begin with 265154308 relations and 221632267 unique ideals Thu Oct 1 18:04:30 2026 memory use: 1706.9 MB Thu Oct 1 18:04:33 2026 reduce to 264878329 relations and 214573617 ideals in 1 passes Thu Oct 1 18:04:33 2026 max relations containing the same ideal: 20 Thu Oct 1 18:05:56 2026 removing 8704010 relations and 6704010 ideals in 2000000 cliques Thu Oct 1 18:06:00 2026 commencing in-memory singleton removal Thu Oct 1 18:06:06 2026 begin with 256174319 relations and 214573617 unique ideals Thu Oct 1 18:06:06 2026 memory use: 1653.1 MB Thu Oct 1 18:06:09 2026 reduce to 255869413 relations and 207562322 ideals in 1 passes Thu Oct 1 18:06:09 2026 max relations containing the same ideal: 20 Thu Oct 1 18:07:32 2026 removing 8854909 relations and 6854909 ideals in 2000000 cliques Thu Oct 1 18:07:36 2026 commencing in-memory singleton removal Thu Oct 1 18:07:42 2026 begin with 247014504 relations and 207562322 unique ideals Thu Oct 1 18:07:42 2026 memory use: 1599.6 MB Thu Oct 1 18:07:45 2026 reduce to 246705511 relations and 200395936 ideals in 1 passes Thu Oct 1 18:07:45 2026 max relations containing the same ideal: 20 Thu Oct 1 18:09:06 2026 removing 8933836 relations and 6933836 ideals in 2000000 cliques Thu Oct 1 18:09:10 2026 commencing in-memory singleton removal Thu Oct 1 18:09:16 2026 begin with 237771675 relations and 200395936 unique ideals Thu Oct 1 18:09:16 2026 memory use: 1544.9 MB Thu Oct 1 18:09:19 2026 reduce to 237450825 relations and 193138703 ideals in 1 passes Thu Oct 1 18:09:19 2026 max relations containing the same ideal: 20 Thu Oct 1 18:10:31 2026 removing 8944598 relations and 6944598 ideals in 2000000 cliques Thu Oct 1 18:10:35 2026 commencing in-memory singleton removal Thu Oct 1 18:10:40 2026 begin with 228506227 relations and 193138703 unique ideals Thu Oct 1 18:10:40 2026 memory use: 1489.5 MB Thu Oct 1 18:10:43 2026 reduce to 228163002 relations and 185848015 ideals in 1 passes Thu Oct 1 18:10:43 2026 max relations containing the same ideal: 20 Thu Oct 1 18:11:53 2026 removing 3385350 relations and 2781285 ideals in 604065 cliques Thu Oct 1 18:11:56 2026 commencing in-memory singleton removal Thu Oct 1 18:12:01 2026 begin with 224777652 relations and 185848015 unique ideals Thu Oct 1 18:12:01 2026 memory use: 1433.9 MB Thu Oct 1 18:12:04 2026 reduce to 224735981 relations and 183024955 ideals in 1 passes Thu Oct 1 18:12:04 2026 max relations containing the same ideal: 20 Thu Oct 1 18:13:16 2026 relations with 0 large ideals: 4846366 Thu Oct 1 18:13:16 2026 relations with 1 large ideals: 28633115 Thu Oct 1 18:13:16 2026 relations with 2 large ideals: 67065312 Thu Oct 1 18:13:16 2026 relations with 3 large ideals: 75230989 Thu Oct 1 18:13:16 2026 relations with 4 large ideals: 40348917 Thu Oct 1 18:13:16 2026 relations with 5 large ideals: 8531543 Thu Oct 1 18:13:16 2026 relations with 6 large ideals: 79479 Thu Oct 1 18:13:16 2026 relations with 7+ large ideals: 260 Thu Oct 1 18:13:16 2026 commencing 2-way merge Thu Oct 1 18:14:53 2026 reduce to 135612665 relation sets and 93901639 unique ideals Thu Oct 1 18:14:53 2026 commencing full merge Thu Oct 1 18:31:21 2026 memory use: 8037.7 MB Thu Oct 1 18:31:24 2026 found 61713033 cycles, need 56137839 Thu Oct 1 18:31:39 2026 weight of 56137839 cycles is about 6175262926 (110.00/cycle) Thu Oct 1 18:31:39 2026 distribution of cycle lengths: Thu Oct 1 18:31:39 2026 1 relations: 5883283 Thu Oct 1 18:31:39 2026 2 relations: 4388001 Thu Oct 1 18:31:39 2026 3 relations: 4499391 Thu Oct 1 18:31:39 2026 4 relations: 4407526 Thu Oct 1 18:31:39 2026 5 relations: 4425552 Thu Oct 1 18:31:39 2026 6 relations: 4232286 Thu Oct 1 18:31:39 2026 7 relations: 4068109 Thu Oct 1 18:31:39 2026 8 relations: 3852019 Thu Oct 1 18:31:39 2026 9 relations: 3616008 Thu Oct 1 18:31:40 2026 10+ relations: 16765664 Thu Oct 1 18:31:40 2026 heaviest cycle: 19 relations Thu Oct 1 18:31:43 2026 commencing cycle optimization Thu Oct 1 18:33:02 2026 start with 395202860 relations Thu Oct 1 18:43:56 2026 pruned 13739324 relations Thu Oct 1 18:43:57 2026 memory use: 12831.0 MB Thu Oct 1 18:43:58 2026 distribution of cycle lengths: Thu Oct 1 18:43:58 2026 1 relations: 5883283 Thu Oct 1 18:43:58 2026 2 relations: 4526038 Thu Oct 1 18:43:58 2026 3 relations: 4709793 Thu Oct 1 18:43:58 2026 4 relations: 4598446 Thu Oct 1 18:43:58 2026 5 relations: 4634464 Thu Oct 1 18:43:58 2026 6 relations: 4417429 Thu Oct 1 18:43:58 2026 7 relations: 4250897 Thu Oct 1 18:43:58 2026 8 relations: 3996395 Thu Oct 1 18:43:58 2026 9 relations: 3731630 Thu Oct 1 18:43:58 2026 10+ relations: 15389464 Thu Oct 1 18:43:58 2026 heaviest cycle: 19 relations Thu Oct 1 18:44:25 2026 RelProcTime: 12725 Thu Oct 1 18:44:25 2026 Thu Oct 1 18:44:25 2026 commencing linear algebra Thu Oct 1 18:44:25 2026 using VBITS=128 Thu Oct 1 18:44:25 2026 stopping after matrix build Thu Oct 1 18:44:25 2026 initialized process (0,0) of 1 x 1 grid Thu Oct 1 18:44:31 2026 read 56137839 cycles Thu Oct 1 18:46:52 2026 cycles contain 198646964 unique relations Thu Oct 1 18:55:23 2026 read 198646964 relations Thu Oct 1 18:56:00 2026 using 20 quadratic characters above 4294917295 Thu Oct 1 18:56:54 2026 building initial matrix Thu Oct 1 19:00:30 2026 memory use: 28587.6 MB Thu Oct 1 19:01:27 2026 read 56137839 cycles Thu Oct 1 19:01:38 2026 matrix is 56135794 x 56137839 (24763.6 MB) with weight 7581258808 (135.05/col) Thu Oct 1 19:01:38 2026 sparse part has weight 5817971340 (103.64/col) Thu Oct 1 19:11:47 2026 filtering completed in 3 passes Thu Oct 1 19:12:01 2026 matrix is 55990540 x 55990740 (24736.0 MB) with weight 7571057680 (135.22/col) Thu Oct 1 19:12:01 2026 sparse part has weight 5812501855 (103.81/col) Thu Oct 1 19:15:12 2026 BLanczosTime: 1847 Thu Oct 1 19:15:12 2026 elapsed time 04:02:53 Thu Oct 1 19:15:25 2026 Thu Oct 1 19:15:25 2026 Thu Oct 1 19:15:25 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Oct 1 19:15:25 2026 random seeds: abaed85e 8dec3ab6 Thu Oct 1 19:15:25 2026 MPI process 0 of 4 Thu Oct 1 19:15:25 2026 Using 15 OpenMP threads Thu Oct 1 19:15:25 2026 factoring 21625930313396566831069611177563417513125747286986604923698272443297172431967652548466682018803452385932880019200197563439909349006841151422143908464055301753600338317841831571716234432576540891570299925738843 (209 digits) Thu Oct 1 19:15:25 2026 no P-1/P+1/ECM available, skipping Thu Oct 1 19:15:25 2026 commencing number field sieve (209-digit input) Thu Oct 1 19:15:25 2026 R0: -23429547183781620904771082359370003173228 Thu Oct 1 19:15:25 2026 R1: 2938855498461897355260889 Thu Oct 1 19:15:25 2026 A0: -10428556412965997964285948561571523959720200825246 Thu Oct 1 19:15:25 2026 A1: 186106143904345289264498622906853459802301 Thu Oct 1 19:15:25 2026 A2: 8936898441634207301625912533353700 Thu Oct 1 19:15:25 2026 A3: 39061707650516106184643263 Thu Oct 1 19:15:25 2026 A4: -101614744175207890 Thu Oct 1 19:15:25 2026 A5: 30630600 Thu Oct 1 19:15:25 2026 skew 297387141.56, size 2.140e-20, alpha -9.002, combined = 1.559e-15 rroots = 5 Thu Oct 1 19:15:25 2026 Thu Oct 1 19:15:25 2026 commencing linear algebra Thu Oct 1 19:15:25 2026 using VBITS=256 Thu Oct 1 19:15:25 2026 skipping matrix build Thu Oct 1 19:15:25 2026 initialized process (0,0) of 2 x 2 grid Thu Oct 1 19:15:54 2026 matrix starts at (0, 0) Thu Oct 1 19:15:56 2026 matrix is 27995390 x 27995447 (7231.3 MB) with weight 2438967413 (87.12/col) Thu Oct 1 19:15:56 2026 sparse part has weight 1559684817 (55.71/col) Thu Oct 1 19:15:56 2026 saving the first 240 matrix rows for later Thu Oct 1 19:16:01 2026 matrix includes 256 packed rows Thu Oct 1 19:16:04 2026 matrix is 27995150 x 27995447 (6415.9 MB) with weight 1347064525 (48.12/col) Thu Oct 1 19:16:04 2026 sparse part has weight 1233965625 (44.08/col) Thu Oct 1 19:16:04 2026 using GPU 0 (NVIDIA H200) Thu Oct 1 19:16:04 2026 selected card has CUDA arch 9.0 Thu Oct 1 19:16:05 2026 computed block_nnz 335945364 (L2 cache 62914560 bytes, average column weight 44.1) Thu Oct 1 19:16:05 2026 nonzeros per matrix block: 4000000000 Thu Oct 1 19:16:05 2026 SpMV kernel: auto (by nonzeros per row) Thu Oct 1 19:16:11 2026 GPU memory: 142637 MB free, 4272 MB for vectors, 137511 MB for sparse matrix blocks (9632 MB needed) Thu Oct 1 19:17:13 2026 commencing Lanczos iteration Thu Oct 1 19:17:15 2026 memory use: 14754.1 MB Thu Oct 1 19:17:28 2026 linear algebra at 0.1%, ETA 5h34m Thu Oct 1 19:17:46 2026 checking every 150000 dimensions, checkpointing every 9600000 dimensions Fri Oct 2 01:11:14 2026 lanczos halted after 219368 iterations (dim = 55990300) Fri Oct 2 01:13:28 2026 recovered 27 nontrivial dependencies Fri Oct 2 01:13:30 2026 BLanczosTime: 21485 Fri Oct 2 01:13:30 2026 elapsed time 05:58:05 Fri Oct 2 05:55:19 2026 Fri Oct 2 05:55:19 2026 Fri Oct 2 05:55:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 2 05:55:19 2026 random seeds: b64a0e42 24c19b59 Fri Oct 2 05:55:19 2026 MPI process 0 of 1 Fri Oct 2 05:55:19 2026 Using 46 OpenMP threads Fri Oct 2 05:55:19 2026 factoring 21625930313396566831069611177563417513125747286986604923698272443297172431967652548466682018803452385932880019200197563439909349006841151422143908464055301753600338317841831571716234432576540891570299925738843 (209 digits) Fri Oct 2 05:55:20 2026 no P-1/P+1/ECM available, skipping Fri Oct 2 05:55:20 2026 commencing number field sieve (209-digit input) Fri Oct 2 05:55:20 2026 R0: -23429547183781620904771082359370003173228 Fri Oct 2 05:55:20 2026 R1: 2938855498461897355260889 Fri Oct 2 05:55:20 2026 A0: -10428556412965997964285948561571523959720200825246 Fri Oct 2 05:55:20 2026 A1: 186106143904345289264498622906853459802301 Fri Oct 2 05:55:20 2026 A2: 8936898441634207301625912533353700 Fri Oct 2 05:55:20 2026 A3: 39061707650516106184643263 Fri Oct 2 05:55:20 2026 A4: -101614744175207890 Fri Oct 2 05:55:20 2026 A5: 30630600 Fri Oct 2 05:55:20 2026 skew 297387141.56, size 2.140e-20, alpha -9.002, combined = 1.559e-15 rroots = 5 Fri Oct 2 05:55:20 2026 Fri Oct 2 05:55:20 2026 commencing square root phase Fri Oct 2 05:55:20 2026 reading relations for dependency 1 Fri Oct 2 05:55:26 2026 read 27997582 cycles Fri Oct 2 05:56:20 2026 cycles contain 99258058 unique relations Fri Oct 2 06:17:07 2026 read 99258058 relations Fri Oct 2 06:18:44 2026 multiplying 99258058 relations Fri Oct 2 06:27:24 2026 multiply complete, coefficients have about 6904.13 million bits Fri Oct 2 06:27:47 2026 initial square root is modulo 55268023 Fri Oct 2 06:58:32 2026 sqrtTime: 3792 Fri Oct 2 06:58:32 2026 p105 factor: 117161859432111734124126734386082008377413873717283577580864384686768544943248366788603348812638581874537 Fri Oct 2 06:58:32 2026 p105 factor: 184581658384548732186087122621452197282559749639339926695153853601158699768000302770412158812715047688739 Fri Oct 2 06:58:32 2026 elapsed time 01:03:13