Thu Nov 5 22:46:46 2026 Thu Nov 5 22:46:46 2026 Thu Nov 5 22:46:46 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Nov 5 22:46:46 2026 random seeds: c892bdda 3c9f301c Thu Nov 5 22:46:46 2026 MPI process 0 of 1 Thu Nov 5 22:46:46 2026 Using 46 OpenMP threads Thu Nov 5 22:46:46 2026 factoring 139545164856598798592916408220886982879263155618011561611726706234861762697003910847043557446211438306088837541366530238864871441705473753414679732579621230848734665474292336920344673141927423486984746801 (204 digits) Thu Nov 5 22:46:47 2026 no P-1/P+1/ECM available, skipping Thu Nov 5 22:46:47 2026 commencing number field sieve (204-digit input) Thu Nov 5 22:46:47 2026 R0: -2386720959341445557796251606953461670632 Thu Nov 5 22:46:47 2026 R1: 177370456931399561423159 Thu Nov 5 22:46:47 2026 A0: -101804127882940498192324002970313748310107334060 Thu Nov 5 22:46:47 2026 A1: 4055185994016997862741122601703713130179 Thu Nov 5 22:46:47 2026 A2: 64902024048541881595211575530682 Thu Nov 5 22:46:47 2026 A3: -2498064226023317552006933 Thu Nov 5 22:46:47 2026 A4: -5414089736655708 Thu Nov 5 22:46:47 2026 A5: 7207200 Thu Nov 5 22:46:47 2026 skew 132203378.24, size 8.784e-20, alpha -7.880, combined = 3.833e-15 rroots = 5 Thu Nov 5 22:46:47 2026 Thu Nov 5 22:46:47 2026 commencing relation filtering Thu Nov 5 22:46:47 2026 setting target matrix density to 110.0 Thu Nov 5 22:46:47 2026 estimated available RAM is 192068.7 MB Thu Nov 5 23:07:32 2026 staged savefile to /scratch/gchilders/msieve.dat (178729.0 MB in 1245 sec) Thu Nov 5 23:07:32 2026 commencing duplicate removal, pass 1 Thu Nov 5 23:16:16 2026 error -15 reading relation 1192506134 Thu Nov 5 23:16:20 2026 found 299318133 hash collisions in 1201571594 relations Thu Nov 5 23:16:20 2026 cached 1201571595 relation coordinates for pass 2 (19358.5 MB) Thu Nov 5 23:16:50 2026 added 121467 free relations Thu Nov 5 23:16:50 2026 commencing duplicate removal, pass 2 Thu Nov 5 23:21:23 2026 found 331180053 duplicates and 870513008 unique relations Thu Nov 5 23:21:23 2026 memory use: 12608.0 MB Thu Nov 5 23:21:25 2026 reading ideals above 699990016 Thu Nov 5 23:21:25 2026 commencing singleton removal, initial pass Thu Nov 5 23:30:18 2026 LP64 contains 870513008 relations and 796039049 unique large ideals Thu Nov 5 23:30:18 2026 memory use: 23392.0 MB Thu Nov 5 23:30:19 2026 preparing 64-bit LP file for common filtering Thu Nov 5 23:30:19 2026 start with 870513008 relations and 796039049 ideals Thu Nov 5 23:31:37 2026 compacted LP dataset has 870513008 relations and 796039049 large ideals Thu Nov 5 23:31:37 2026 reading all ideals from disk Thu Nov 5 23:31:44 2026 memory use: 21960.8 MB Thu Nov 5 23:31:54 2026 ideal weight profile: 796039049 ideals, 870513008 relations, base target excess 73734230, margin 739729 Thu Nov 5 23:31:54 2026 weight <= 10: keep 777701670, bury 18337379, target excess 92071609 Thu Nov 5 23:31:54 2026 weight <= 15: keep 793474526, bury 2564523, target excess 76298753 Thu Nov 5 23:31:54 2026 weight <= 20: keep 795849367, bury 189682, target excess 73923912 Thu Nov 5 23:31:54 2026 weight <= 25: keep 796032122, bury 6927, target excess 73741157 Thu Nov 5 23:31:54 2026 weight <= 30: keep 796038492, bury 557, target excess 73734787 Thu Nov 5 23:31:54 2026 weight <= 35: keep 796038737, bury 312, target excess 73734542 Thu Nov 5 23:31:54 2026 weight <= 40: keep 796038913, bury 136, target excess 73734366 Thu Nov 5 23:31:54 2026 weight <= 45: keep 796039015, bury 34, target excess 73734264 Thu Nov 5 23:31:54 2026 weight <= 100: keep 796039049, bury 0, target excess 73734230 Thu Nov 5 23:31:54 2026 weight <= 200: keep 796039049, bury 0, target excess 73734230 Thu Nov 5 23:31:54 2026 warning: no ideal weight cap fits a margin of 739729 Thu Nov 5 23:31:55 2026 commencing in-memory singleton removal Thu Nov 5 23:32:02 2026 begin with 870513008 relations and 796039049 unique ideals Thu Nov 5 23:32:02 2026 memory use: 6089.3 MB Thu Nov 5 23:32:26 2026 reduce to 465031342 relations and 340271242 ideals in 4 passes Thu Nov 5 23:32:26 2026 max relations containing the same ideal: 39 Thu Nov 5 23:32:43 2026 reading ideals above 720000 Thu Nov 5 23:32:43 2026 commencing singleton removal, initial pass Thu Nov 5 23:39:11 2026 LP64 contains 465031342 relations and 412637185 unique large ideals Thu Nov 5 23:39:11 2026 memory use: 11976.0 MB Thu Nov 5 23:39:13 2026 preparing 64-bit LP file for common filtering Thu Nov 5 23:39:13 2026 start with 465031342 relations and 412637185 ideals Thu Nov 5 23:40:09 2026 compacted LP dataset has 465031342 relations and 412637185 large ideals Thu Nov 5 23:40:09 2026 reading all ideals from disk Thu Nov 5 23:40:21 2026 memory use: 24343.7 MB Thu Nov 5 23:40:33 2026 ideal weight profile: 412637185 ideals, 465031342 relations, base target excess 116217, margin 52277940 Thu Nov 5 23:40:33 2026 weight <= 10: keep 356816305, bury 55820880, target excess 55937097 Thu Nov 5 23:40:33 2026 weight <= 15: keep 366294905, bury 46342280, target excess 46458497 Thu Nov 5 23:40:33 2026 weight <= 20: keep 373510461, bury 39126724, target excess 39242941 Thu Nov 5 23:40:33 2026 weight <= 25: keep 382002665, bury 30634520, target excess 30750737 Thu Nov 5 23:40:33 2026 weight <= 30: keep 388706503, bury 23930682, target excess 24046899 Thu Nov 5 23:40:33 2026 weight <= 35: keep 393143890, bury 19493295, target excess 19609512 Thu Nov 5 23:40:33 2026 weight <= 40: keep 396279568, bury 16357617, target excess 16473834 Thu Nov 5 23:40:33 2026 weight <= 45: keep 398630619, bury 14006566, target excess 14122783 Thu Nov 5 23:40:33 2026 weight <= 100: keep 407594371, bury 5042814, target excess 5159031 Thu Nov 5 23:40:33 2026 weight <= 200: keep 410288952, bury 2348233, target excess 2464450 Thu Nov 5 23:40:33 2026 keeping 373510461 ideals with weight <= 20, target excess is 39242941 Thu Nov 5 23:41:46 2026 commencing in-memory singleton removal Thu Nov 5 23:41:51 2026 begin with 465031342 relations and 373510461 unique ideals Thu Nov 5 23:41:51 2026 memory use: 2865.7 MB Thu Nov 5 23:41:56 2026 reduce to 464673892 relations and 373152965 ideals in 1 passes Thu Nov 5 23:41:56 2026 max relations containing the same ideal: 20 Thu Nov 5 23:43:55 2026 removing 18134982 relations and 16134982 ideals in 2000000 cliques Thu Nov 5 23:44:01 2026 commencing in-memory singleton removal Thu Nov 5 23:44:07 2026 begin with 446538910 relations and 373152965 unique ideals Thu Nov 5 23:44:07 2026 memory use: 2862.9 MB Thu Nov 5 23:44:12 2026 reduce to 445954585 relations and 356429866 ideals in 1 passes Thu Nov 5 23:44:12 2026 max relations containing the same ideal: 20 Thu Nov 5 23:45:59 2026 removing 13536721 relations and 11536721 ideals in 2000000 cliques Thu Nov 5 23:46:05 2026 commencing in-memory singleton removal Thu Nov 5 23:46:10 2026 begin with 432417864 relations and 356429866 unique ideals Thu Nov 5 23:46:10 2026 memory use: 2735.3 MB Thu Nov 5 23:46:16 2026 reduce to 432052956 relations and 344526337 ideals in 1 passes Thu Nov 5 23:46:16 2026 max relations containing the same ideal: 20 Thu Nov 5 23:47:59 2026 removing 12081381 relations and 10081381 ideals in 2000000 cliques Thu Nov 5 23:48:04 2026 commencing in-memory singleton removal Thu Nov 5 23:48:10 2026 begin with 419971575 relations and 344526337 unique ideals Thu Nov 5 23:48:10 2026 memory use: 2644.5 MB Thu Nov 5 23:48:15 2026 reduce to 419666761 relations and 334138601 ideals in 1 passes Thu Nov 5 23:48:15 2026 max relations containing the same ideal: 20 Thu Nov 5 23:49:53 2026 removing 11253162 relations and 9253162 ideals in 2000000 cliques Thu Nov 5 23:49:59 2026 commencing in-memory singleton removal Thu Nov 5 23:50:04 2026 begin with 408413599 relations and 334138601 unique ideals Thu Nov 5 23:50:04 2026 memory use: 2565.3 MB Thu Nov 5 23:50:09 2026 reduce to 408135641 relations and 324606108 ideals in 1 passes Thu Nov 5 23:50:09 2026 max relations containing the same ideal: 20 Thu Nov 5 23:51:44 2026 removing 10709534 relations and 8709534 ideals in 2000000 cliques Thu Nov 5 23:51:49 2026 commencing in-memory singleton removal Thu Nov 5 23:51:55 2026 begin with 397426107 relations and 324606108 unique ideals Thu Nov 5 23:51:55 2026 memory use: 2492.5 MB Thu Nov 5 23:52:00 2026 reduce to 397165157 relations and 315634362 ideals in 1 passes Thu Nov 5 23:52:00 2026 max relations containing the same ideal: 20 Thu Nov 5 23:53:34 2026 removing 10286452 relations and 8286452 ideals in 2000000 cliques Thu Nov 5 23:53:39 2026 commencing in-memory singleton removal Thu Nov 5 23:53:44 2026 begin with 386878705 relations and 315634362 unique ideals Thu Nov 5 23:53:44 2026 memory use: 2424.1 MB Thu Nov 5 23:53:48 2026 reduce to 386626431 relations and 307094366 ideals in 1 passes Thu Nov 5 23:53:48 2026 max relations containing the same ideal: 20 Thu Nov 5 23:55:19 2026 removing 10020038 relations and 8020038 ideals in 2000000 cliques Thu Nov 5 23:55:24 2026 commencing in-memory singleton removal Thu Nov 5 23:55:29 2026 begin with 376606393 relations and 307094366 unique ideals Thu Nov 5 23:55:29 2026 memory use: 2358.9 MB Thu Nov 5 23:55:34 2026 reduce to 376361857 relations and 298828476 ideals in 1 passes Thu Nov 5 23:55:34 2026 max relations containing the same ideal: 20 Thu Nov 5 23:57:01 2026 removing 9778195 relations and 7778195 ideals in 2000000 cliques Thu Nov 5 23:57:06 2026 commencing in-memory singleton removal Thu Nov 5 23:57:11 2026 begin with 366583662 relations and 298828476 unique ideals Thu Nov 5 23:57:11 2026 memory use: 2295.9 MB Thu Nov 5 23:57:15 2026 reduce to 366343837 relations and 290809273 ideals in 1 passes Thu Nov 5 23:57:15 2026 max relations containing the same ideal: 20 Thu Nov 5 23:58:41 2026 removing 9549322 relations and 7549322 ideals in 2000000 cliques Thu Nov 5 23:58:46 2026 commencing in-memory singleton removal Thu Nov 5 23:58:50 2026 begin with 356794515 relations and 290809273 unique ideals Thu Nov 5 23:58:50 2026 memory use: 2234.7 MB Thu Nov 5 23:58:55 2026 reduce to 356553643 relations and 283017772 ideals in 1 passes Thu Nov 5 23:58:55 2026 max relations containing the same ideal: 20 Fri Nov 6 00:00:21 2026 removing 9440733 relations and 7440733 ideals in 2000000 cliques Fri Nov 6 00:00:26 2026 commencing in-memory singleton removal Fri Nov 6 00:00:30 2026 begin with 347112910 relations and 283017772 unique ideals Fri Nov 6 00:00:30 2026 memory use: 2175.3 MB Fri Nov 6 00:00:34 2026 reduce to 346873506 relations and 275336318 ideals in 1 passes Fri Nov 6 00:00:34 2026 max relations containing the same ideal: 20 Fri Nov 6 00:01:55 2026 removing 9306242 relations and 7306242 ideals in 2000000 cliques Fri Nov 6 00:01:59 2026 commencing in-memory singleton removal Fri Nov 6 00:02:04 2026 begin with 337567264 relations and 275336318 unique ideals Fri Nov 6 00:02:04 2026 memory use: 2116.6 MB Fri Nov 6 00:02:08 2026 reduce to 337325771 relations and 267787213 ideals in 1 passes Fri Nov 6 00:02:08 2026 max relations containing the same ideal: 20 Fri Nov 6 00:03:38 2026 removing 9222205 relations and 7222205 ideals in 2000000 cliques Fri Nov 6 00:03:43 2026 commencing in-memory singleton removal Fri Nov 6 00:03:48 2026 begin with 328103566 relations and 267787213 unique ideals Fri Nov 6 00:03:48 2026 memory use: 2059.1 MB Fri Nov 6 00:03:52 2026 reduce to 327861352 relations and 260321400 ideals in 1 passes Fri Nov 6 00:03:52 2026 max relations containing the same ideal: 20 Fri Nov 6 00:05:09 2026 removing 9109404 relations and 7109404 ideals in 2000000 cliques Fri Nov 6 00:05:14 2026 commencing in-memory singleton removal Fri Nov 6 00:05:18 2026 begin with 318751948 relations and 260321400 unique ideals Fri Nov 6 00:05:18 2026 memory use: 2002.1 MB Fri Nov 6 00:05:22 2026 reduce to 318503142 relations and 252961650 ideals in 1 passes Fri Nov 6 00:05:22 2026 max relations containing the same ideal: 20 Fri Nov 6 00:06:32 2026 removing 9085160 relations and 7085160 ideals in 2000000 cliques Fri Nov 6 00:06:36 2026 commencing in-memory singleton removal Fri Nov 6 00:06:40 2026 begin with 309417982 relations and 252961650 unique ideals Fri Nov 6 00:06:40 2026 memory use: 1945.9 MB Fri Nov 6 00:06:44 2026 reduce to 309167078 relations and 245624021 ideals in 1 passes Fri Nov 6 00:06:44 2026 max relations containing the same ideal: 20 Fri Nov 6 00:07:51 2026 removing 9003792 relations and 7003792 ideals in 2000000 cliques Fri Nov 6 00:07:55 2026 commencing in-memory singleton removal Fri Nov 6 00:07:59 2026 begin with 300163286 relations and 245624021 unique ideals Fri Nov 6 00:07:59 2026 memory use: 1890.0 MB Fri Nov 6 00:08:03 2026 reduce to 299900628 relations and 238355995 ideals in 1 passes Fri Nov 6 00:08:03 2026 max relations containing the same ideal: 20 Fri Nov 6 00:09:08 2026 removing 8990667 relations and 6990667 ideals in 2000000 cliques Fri Nov 6 00:09:12 2026 commencing in-memory singleton removal Fri Nov 6 00:09:16 2026 begin with 290909961 relations and 238355995 unique ideals Fri Nov 6 00:09:16 2026 memory use: 1834.5 MB Fri Nov 6 00:09:19 2026 reduce to 290642343 relations and 231096011 ideals in 1 passes Fri Nov 6 00:09:19 2026 max relations containing the same ideal: 20 Fri Nov 6 00:10:23 2026 removing 9008806 relations and 7008806 ideals in 2000000 cliques Fri Nov 6 00:10:27 2026 commencing in-memory singleton removal Fri Nov 6 00:10:31 2026 begin with 281633537 relations and 231096011 unique ideals Fri Nov 6 00:10:31 2026 memory use: 1779.1 MB Fri Nov 6 00:10:34 2026 reduce to 281364635 relations and 223816485 ideals in 1 passes Fri Nov 6 00:10:34 2026 max relations containing the same ideal: 20 Fri Nov 6 00:11:35 2026 removing 8921591 relations and 6921591 ideals in 2000000 cliques Fri Nov 6 00:11:38 2026 commencing in-memory singleton removal Fri Nov 6 00:11:42 2026 begin with 272443044 relations and 223816485 unique ideals Fri Nov 6 00:11:42 2026 memory use: 1723.6 MB Fri Nov 6 00:11:45 2026 reduce to 272158466 relations and 216608280 ideals in 1 passes Fri Nov 6 00:11:45 2026 max relations containing the same ideal: 20 Fri Nov 6 00:12:44 2026 removing 9004068 relations and 7004068 ideals in 2000000 cliques Fri Nov 6 00:12:48 2026 commencing in-memory singleton removal Fri Nov 6 00:12:51 2026 begin with 263154398 relations and 216608280 unique ideals Fri Nov 6 00:12:51 2026 memory use: 1668.6 MB Fri Nov 6 00:12:54 2026 reduce to 262864887 relations and 209312713 ideals in 1 passes Fri Nov 6 00:12:54 2026 max relations containing the same ideal: 20 Fri Nov 6 00:13:52 2026 removing 8950839 relations and 6950839 ideals in 2000000 cliques Fri Nov 6 00:13:55 2026 commencing in-memory singleton removal Fri Nov 6 00:13:58 2026 begin with 253914048 relations and 209312713 unique ideals Fri Nov 6 00:13:58 2026 memory use: 1612.9 MB Fri Nov 6 00:14:01 2026 reduce to 253607413 relations and 202052930 ideals in 1 passes Fri Nov 6 00:14:01 2026 max relations containing the same ideal: 20 Fri Nov 6 00:14:57 2026 removing 8938724 relations and 6938724 ideals in 2000000 cliques Fri Nov 6 00:15:00 2026 commencing in-memory singleton removal Fri Nov 6 00:15:03 2026 begin with 244668689 relations and 202052930 unique ideals Fri Nov 6 00:15:03 2026 memory use: 1557.5 MB Fri Nov 6 00:15:06 2026 reduce to 244340367 relations and 194783426 ideals in 1 passes Fri Nov 6 00:15:06 2026 max relations containing the same ideal: 20 Fri Nov 6 00:16:00 2026 removing 9056120 relations and 7056120 ideals in 2000000 cliques Fri Nov 6 00:16:03 2026 commencing in-memory singleton removal Fri Nov 6 00:16:06 2026 begin with 235284247 relations and 194783426 unique ideals Fri Nov 6 00:16:06 2026 memory use: 1502.1 MB Fri Nov 6 00:16:09 2026 reduce to 234952727 relations and 187393202 ideals in 1 passes Fri Nov 6 00:16:09 2026 max relations containing the same ideal: 20 Fri Nov 6 00:17:02 2026 removing 9059113 relations and 7059113 ideals in 2000000 cliques Fri Nov 6 00:17:05 2026 commencing in-memory singleton removal Fri Nov 6 00:17:07 2026 begin with 225893614 relations and 187393202 unique ideals Fri Nov 6 00:17:07 2026 memory use: 1445.7 MB Fri Nov 6 00:17:10 2026 reduce to 225542232 relations and 179979792 ideals in 1 passes Fri Nov 6 00:17:10 2026 max relations containing the same ideal: 20 Fri Nov 6 00:18:00 2026 removing 310478 relations and 269850 ideals in 40628 cliques Fri Nov 6 00:18:02 2026 commencing in-memory singleton removal Fri Nov 6 00:18:05 2026 begin with 225231754 relations and 179979792 unique ideals Fri Nov 6 00:18:05 2026 memory use: 1389.1 MB Fri Nov 6 00:18:07 2026 reduce to 225231443 relations and 179709631 ideals in 1 passes Fri Nov 6 00:18:07 2026 max relations containing the same ideal: 20 Fri Nov 6 00:18:08 2026 relations with 0 large ideals: 5573351 Fri Nov 6 00:18:08 2026 relations with 1 large ideals: 30650587 Fri Nov 6 00:18:08 2026 relations with 2 large ideals: 67351709 Fri Nov 6 00:18:08 2026 relations with 3 large ideals: 72053054 Fri Nov 6 00:18:08 2026 relations with 4 large ideals: 38840084 Fri Nov 6 00:18:08 2026 relations with 5 large ideals: 9848932 Fri Nov 6 00:18:08 2026 relations with 6 large ideals: 902584 Fri Nov 6 00:18:08 2026 relations with 7+ large ideals: 11142 Fri Nov 6 00:18:08 2026 commencing 2-way merge Fri Nov 6 00:19:22 2026 reduce to 135817431 relation sets and 90295619 unique ideals Fri Nov 6 00:19:22 2026 commencing full merge Fri Nov 6 00:31:20 2026 memory use: 7859.7 MB Fri Nov 6 00:31:23 2026 found 61790836 cycles, need 55997819 Fri Nov 6 00:31:38 2026 weight of 55997819 cycles is about 6160208777 (110.01/cycle) Fri Nov 6 00:31:38 2026 distribution of cycle lengths: Fri Nov 6 00:31:38 2026 1 relations: 6534376 Fri Nov 6 00:31:38 2026 2 relations: 4503806 Fri Nov 6 00:31:38 2026 3 relations: 4359928 Fri Nov 6 00:31:38 2026 4 relations: 4147923 Fri Nov 6 00:31:38 2026 5 relations: 4053377 Fri Nov 6 00:31:38 2026 6 relations: 3872554 Fri Nov 6 00:31:38 2026 7 relations: 3703995 Fri Nov 6 00:31:38 2026 8 relations: 3511102 Fri Nov 6 00:31:38 2026 9 relations: 3296804 Fri Nov 6 00:31:38 2026 10+ relations: 18013954 Fri Nov 6 00:31:38 2026 heaviest cycle: 20 relations Fri Nov 6 00:31:41 2026 commencing cycle optimization Fri Nov 6 00:32:49 2026 start with 406656170 relations Fri Nov 6 00:41:41 2026 pruned 16263598 relations Fri Nov 6 00:41:42 2026 memory use: 12797.7 MB Fri Nov 6 00:41:43 2026 distribution of cycle lengths: Fri Nov 6 00:41:43 2026 1 relations: 6534376 Fri Nov 6 00:41:43 2026 2 relations: 4655419 Fri Nov 6 00:41:43 2026 3 relations: 4577723 Fri Nov 6 00:41:43 2026 4 relations: 4340691 Fri Nov 6 00:41:43 2026 5 relations: 4266881 Fri Nov 6 00:41:43 2026 6 relations: 4060999 Fri Nov 6 00:41:43 2026 7 relations: 3893444 Fri Nov 6 00:41:43 2026 8 relations: 3667452 Fri Nov 6 00:41:43 2026 9 relations: 3437279 Fri Nov 6 00:41:43 2026 10+ relations: 16563555 Fri Nov 6 00:41:43 2026 heaviest cycle: 20 relations Fri Nov 6 00:42:02 2026 RelProcTime: 6915 Fri Nov 6 00:42:02 2026 Fri Nov 6 00:42:02 2026 commencing linear algebra Fri Nov 6 00:42:02 2026 using VBITS=128 Fri Nov 6 00:42:02 2026 stopping after matrix build Fri Nov 6 00:42:02 2026 initialized process (0,0) of 1 x 1 grid Fri Nov 6 00:42:08 2026 read 55997819 cycles Fri Nov 6 00:44:04 2026 cycles contain 196038192 unique relations Fri Nov 6 00:47:23 2026 read 196038192 relations Fri Nov 6 00:47:40 2026 using 20 quadratic characters above 4294917295 Fri Nov 6 00:48:05 2026 building initial matrix Fri Nov 6 00:50:27 2026 memory use: 27738.2 MB Fri Nov 6 00:51:19 2026 read 55997819 cycles Fri Nov 6 00:51:28 2026 matrix is 55995196 x 55997819 (24535.6 MB) with weight 7495085960 (133.85/col) Fri Nov 6 00:51:28 2026 sparse part has weight 5759878479 (102.86/col) Fri Nov 6 00:58:22 2026 filtering completed in 3 passes Fri Nov 6 00:58:34 2026 matrix is 55871868 x 55872068 (24508.1 MB) with weight 7485157593 (133.97/col) Fri Nov 6 00:58:34 2026 sparse part has weight 5754174460 (102.99/col) Fri Nov 6 01:01:05 2026 LinearAlgebraTime: 1143 Fri Nov 6 01:01:05 2026 elapsed time 02:14:19 Fri Nov 6 01:06:51 2026 Fri Nov 6 01:06:51 2026 Fri Nov 6 01:06:51 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Nov 6 01:06:51 2026 random seeds: d2f37741 75bdc6a0 Fri Nov 6 01:06:51 2026 MPI process 0 of 2 Fri Nov 6 01:06:51 2026 Using 6 OpenMP threads Fri Nov 6 01:06:51 2026 factoring 139545164856598798592916408220886982879263155618011561611726706234861762697003910847043557446211438306088837541366530238864871441705473753414679732579621230848734665474292336920344673141927423486984746801 (204 digits) Fri Nov 6 01:06:52 2026 no P-1/P+1/ECM available, skipping Fri Nov 6 01:06:52 2026 commencing number field sieve (204-digit input) Fri Nov 6 01:06:52 2026 R0: -2386720959341445557796251606953461670632 Fri Nov 6 01:06:52 2026 R1: 177370456931399561423159 Fri Nov 6 01:06:52 2026 A0: -101804127882940498192324002970313748310107334060 Fri Nov 6 01:06:52 2026 A1: 4055185994016997862741122601703713130179 Fri Nov 6 01:06:52 2026 A2: 64902024048541881595211575530682 Fri Nov 6 01:06:52 2026 A3: -2498064226023317552006933 Fri Nov 6 01:06:52 2026 A4: -5414089736655708 Fri Nov 6 01:06:52 2026 A5: 7207200 Fri Nov 6 01:06:52 2026 skew 132203378.24, size 8.784e-20, alpha -7.880, combined = 3.833e-15 rroots = 5 Fri Nov 6 01:06:52 2026 Fri Nov 6 01:06:52 2026 commencing linear algebra Fri Nov 6 01:06:52 2026 using VBITS=256 Fri Nov 6 01:06:52 2026 skipping matrix build Fri Nov 6 01:06:52 2026 initialized process (0,0) of 1 x 2 grid Fri Nov 6 01:07:06 2026 matrix starts at (0, 0) Fri Nov 6 01:07:09 2026 matrix is 55871868 x 27936106 (12254.0 MB) with weight 3742595450 (133.97/col) Fri Nov 6 01:07:09 2026 sparse part has weight 2877087375 (102.99/col) Fri Nov 6 01:07:09 2026 saving the first 240 matrix rows for later Fri Nov 6 01:07:16 2026 matrix includes 256 packed rows Fri Nov 6 01:07:22 2026 matrix is 55871628 x 27936106 (11330.9 MB) with weight 2667222355 (95.48/col) Fri Nov 6 01:07:22 2026 sparse part has weight 2523354101 (90.33/col) Fri Nov 6 01:07:22 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Fri Nov 6 01:07:22 2026 selected card has CUDA arch 8.0 Fri Nov 6 01:07:22 2026 computed block_nnz 670459536 (L2 cache 41943040 bytes, average column weight 90.3) Fri Nov 6 01:07:22 2026 nonzeros per matrix block: 4000000000 Fri Nov 6 01:07:22 2026 SpMV kernel: auto (by nonzeros per row) Fri Nov 6 01:07:36 2026 GPU memory: 40017 MB free, 8525 MB for vectors, 30639 MB for sparse matrix blocks (19575 MB needed) Fri Nov 6 01:10:35 2026 commencing Lanczos iteration Fri Nov 6 01:10:37 2026 memory use: 28949.3 MB Fri Nov 6 01:11:35 2026 linear algebra at 0.1%, ETA 26h50m Fri Nov 6 01:12:55 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions Sat Nov 7 04:07:41 2026 lanczos halted after 218903 iterations (dim = 55871625) Sat Nov 7 04:12:44 2026 recovered 28 nontrivial dependencies Sat Nov 7 04:12:45 2026 BLanczosTime: 97553 Sat Nov 7 04:12:45 2026 elapsed time 27:05:54 Sat Nov 7 04:12:46 2026 Sat Nov 7 04:12:46 2026 Sat Nov 7 04:12:46 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat Nov 7 04:12:46 2026 random seeds: b6516ac4 e399545c Sat Nov 7 04:12:46 2026 MPI process 0 of 1 Sat Nov 7 04:12:46 2026 Using 46 OpenMP threads Sat Nov 7 04:12:46 2026 factoring 139545164856598798592916408220886982879263155618011561611726706234861762697003910847043557446211438306088837541366530238864871441705473753414679732579621230848734665474292336920344673141927423486984746801 (204 digits) Sat Nov 7 04:12:47 2026 no P-1/P+1/ECM available, skipping Sat Nov 7 04:12:47 2026 commencing number field sieve (204-digit input) Sat Nov 7 04:12:47 2026 R0: -2386720959341445557796251606953461670632 Sat Nov 7 04:12:47 2026 R1: 177370456931399561423159 Sat Nov 7 04:12:47 2026 A0: -101804127882940498192324002970313748310107334060 Sat Nov 7 04:12:47 2026 A1: 4055185994016997862741122601703713130179 Sat Nov 7 04:12:47 2026 A2: 64902024048541881595211575530682 Sat Nov 7 04:12:47 2026 A3: -2498064226023317552006933 Sat Nov 7 04:12:47 2026 A4: -5414089736655708 Sat Nov 7 04:12:47 2026 A5: 7207200 Sat Nov 7 04:12:47 2026 skew 132203378.24, size 8.784e-20, alpha -7.880, combined = 3.833e-15 rroots = 5 Sat Nov 7 04:12:47 2026 Sat Nov 7 04:12:47 2026 commencing square root phase Sat Nov 7 04:12:47 2026 reading relations for dependency 1 Sat Nov 7 04:12:54 2026 read 27943496 cycles Sat Nov 7 04:13:49 2026 cycles contain 97969998 unique relations Sat Nov 7 04:33:34 2026 read 97969998 relations Sat Nov 7 04:35:05 2026 multiplying 97969998 relations Sat Nov 7 04:43:30 2026 multiply complete, coefficients have about 6453.56 million bits Sat Nov 7 04:43:47 2026 initial square root is modulo 17266037 Sat Nov 7 04:47:17 2026 square root: prod mod q chained over 26 steps, 2.02 GB, 88.5 s Sat Nov 7 05:06:41 2026 GCD is 1, no factor found Sat Nov 7 05:27:12 2026 staged savefile to /scratch/gchilders/msieve.dat (178730.5 MB in 1231 sec) Sat Nov 7 05:27:12 2026 reading relations for dependency 2 Sat Nov 7 05:27:20 2026 read 27936174 cycles Sat Nov 7 05:28:18 2026 cycles contain 97954726 unique relations Sat Nov 7 05:32:15 2026 read 97954726 relations Sat Nov 7 05:33:56 2026 multiplying 97954726 relations Sat Nov 7 05:42:52 2026 multiply complete, coefficients have about 6452.52 million bits Sat Nov 7 05:43:09 2026 initial square root is modulo 17219879 Sat Nov 7 05:46:45 2026 square root: prod mod q chained over 26 steps, 2.02 GB, 89.0 s Sat Nov 7 06:06:57 2026 GCD is N, no factor found Sat Nov 7 06:06:57 2026 reading relations for dependency 3 Sat Nov 7 06:07:03 2026 read 27941444 cycles Sat Nov 7 06:07:57 2026 cycles contain 97960778 unique relations Sat Nov 7 06:10:59 2026 read 97960778 relations Sat Nov 7 06:12:41 2026 multiplying 97960778 relations Sat Nov 7 06:21:41 2026 multiply complete, coefficients have about 6452.96 million bits Sat Nov 7 06:21:58 2026 initial square root is modulo 17239357 Sat Nov 7 06:25:34 2026 square root: prod mod q chained over 26 steps, 2.02 GB, 90.0 s Sat Nov 7 06:46:18 2026 sqrtTime: 9211 Sat Nov 7 06:46:18 2026 p90 factor: 162674574027663174305451628656514302989482976654825125353079013363737225305172333356763801 Sat Nov 7 06:46:18 2026 p114 factor: 857817920782560844007302151802457758505286824363221262243016947621628526306002464007370495689773490572658732583001 Sat Nov 7 06:46:18 2026 elapsed time 02:33:32