Sun Dec 14 21:12:45 2025 Sun Dec 14 21:12:45 2025 Sun Dec 14 21:12:45 2025 Msieve v. 1.54 (SVN unknown) Sun Dec 14 21:12:45 2025 random seeds: f96db5a9 1f553ce3 Sun Dec 14 21:12:45 2025 factoring 21683654646363827278912413491560473037159941770737763748901294504531439481411549816776765876592151123264647087838341643536197498072768162245589548911243934911001822844140279842241413920435119306655959 (200 digits) Sun Dec 14 21:12:46 2025 no P-1/P+1/ECM available, skipping Sun Dec 14 21:12:46 2025 commencing number field sieve (200-digit input) Sun Dec 14 21:12:46 2025 R0: 162335847351484129169367643154578858322 Sun Dec 14 21:12:46 2025 R1: -12741108560540724361 Sun Dec 14 21:12:46 2025 A0: -1 Sun Dec 14 21:12:46 2025 A1: 3 Sun Dec 14 21:12:46 2025 A2: 6 Sun Dec 14 21:12:46 2025 A3: -4 Sun Dec 14 21:12:46 2025 A4: -5 Sun Dec 14 21:12:46 2025 A5: 1 Sun Dec 14 21:12:46 2025 A6: 1 Sun Dec 14 21:12:46 2025 skew 1.37, size 2.726e-11, alpha 3.126, combined = 1.303e-12 rroots = 6 Sun Dec 14 21:12:46 2025 Sun Dec 14 21:12:46 2025 commencing relation filtering Sun Dec 14 21:12:46 2025 setting target matrix density to 104.0 Sun Dec 14 21:12:46 2025 estimated available RAM is 7902.4 MB Sun Dec 14 21:12:46 2025 commencing duplicate removal, pass 1 Sun Dec 14 21:22:45 2025 skipped 5 relations with b > 2^32 Sun Dec 14 21:22:45 2025 skipped 3 relations with composite factors Sun Dec 14 21:22:45 2025 found 4590782 hash collisions in 102474507 relations Sun Dec 14 21:22:45 2025 commencing duplicate removal, pass 2 Sun Dec 14 21:23:13 2025 found 0 duplicates and 102474507 unique relations Sun Dec 14 21:23:13 2025 memory use: 261.2 MB Sun Dec 14 21:23:13 2025 reading ideals above 69926912 Sun Dec 14 21:23:13 2025 commencing singleton removal, initial pass Sun Dec 14 21:30:21 2025 memory use: 2756.0 MB Sun Dec 14 21:30:21 2025 reading all ideals from disk Sun Dec 14 21:30:25 2025 memory use: 1838.1 MB Sun Dec 14 21:30:28 2025 commencing in-memory singleton removal Sun Dec 14 21:30:32 2025 begin with 102474507 relations and 84176695 unique ideals Sun Dec 14 21:31:05 2025 reduce to 69603819 relations and 48153181 ideals in 12 passes Sun Dec 14 21:31:05 2025 max relations containing the same ideal: 46 Sun Dec 14 21:31:08 2025 reading ideals above 720000 Sun Dec 14 21:31:08 2025 commencing singleton removal, initial pass Sun Dec 14 21:37:18 2025 memory use: 1506.0 MB Sun Dec 14 21:37:18 2025 reading all ideals from disk Sun Dec 14 21:37:24 2025 memory use: 2615.9 MB Sun Dec 14 21:37:30 2025 keeping 56034834 ideals with weight <= 200, target excess is 346055 Sun Dec 14 21:37:36 2025 commencing in-memory singleton removal Sun Dec 14 21:37:41 2025 begin with 69603819 relations and 56034834 unique ideals Sun Dec 14 21:37:51 2025 reduce to 69603778 relations and 56034793 ideals in 2 passes Sun Dec 14 21:37:51 2025 max relations containing the same ideal: 200 Sun Dec 14 21:38:17 2025 removing 8558518 relations and 6558518 ideals in 2000000 cliques Sun Dec 14 21:38:20 2025 commencing in-memory singleton removal Sun Dec 14 21:38:24 2025 begin with 61045260 relations and 56034793 unique ideals Sun Dec 14 21:38:53 2025 reduce to 60090848 relations and 48487306 ideals in 8 passes Sun Dec 14 21:38:53 2025 max relations containing the same ideal: 191 Sun Dec 14 21:39:12 2025 removing 6979353 relations and 4979353 ideals in 2000000 cliques Sun Dec 14 21:39:15 2025 commencing in-memory singleton removal Sun Dec 14 21:39:18 2025 begin with 53111495 relations and 48487306 unique ideals Sun Dec 14 21:39:38 2025 reduce to 52423554 relations and 42796622 ideals in 7 passes Sun Dec 14 21:39:38 2025 max relations containing the same ideal: 178 Sun Dec 14 21:39:55 2025 removing 6518884 relations and 4518884 ideals in 2000000 cliques Sun Dec 14 21:39:57 2025 commencing in-memory singleton removal Sun Dec 14 21:39:59 2025 begin with 45904670 relations and 42796622 unique ideals Sun Dec 14 21:40:19 2025 reduce to 45249292 relations and 37598501 ideals in 8 passes Sun Dec 14 21:40:19 2025 max relations containing the same ideal: 161 Sun Dec 14 21:40:34 2025 removing 6315129 relations and 4315129 ideals in 2000000 cliques Sun Dec 14 21:40:36 2025 commencing in-memory singleton removal Sun Dec 14 21:40:38 2025 begin with 38934163 relations and 37598501 unique ideals Sun Dec 14 21:40:55 2025 reduce to 38250443 relations and 32571694 ideals in 8 passes Sun Dec 14 21:40:55 2025 max relations containing the same ideal: 145 Sun Dec 14 21:41:07 2025 removing 6219192 relations and 4219192 ideals in 2000000 cliques Sun Dec 14 21:41:09 2025 commencing in-memory singleton removal Sun Dec 14 21:41:11 2025 begin with 32031251 relations and 32571694 unique ideals Sun Dec 14 21:41:26 2025 reduce to 31274320 relations and 27559234 ideals in 9 passes Sun Dec 14 21:41:26 2025 max relations containing the same ideal: 127 Sun Dec 14 21:41:36 2025 removing 6177127 relations and 4177127 ideals in 2000000 cliques Sun Dec 14 21:41:38 2025 commencing in-memory singleton removal Sun Dec 14 21:41:39 2025 begin with 25097193 relations and 27559234 unique ideals Sun Dec 14 21:41:51 2025 reduce to 24210239 relations and 22443419 ideals in 9 passes Sun Dec 14 21:41:51 2025 max relations containing the same ideal: 104 Sun Dec 14 21:41:59 2025 removing 4541777 relations and 3176381 ideals in 1365396 cliques Sun Dec 14 21:42:00 2025 commencing in-memory singleton removal Sun Dec 14 21:42:01 2025 begin with 19668462 relations and 22443419 unique ideals Sun Dec 14 21:42:10 2025 reduce to 19046718 relations and 18612694 ideals in 9 passes Sun Dec 14 21:42:10 2025 max relations containing the same ideal: 90 Sun Dec 14 21:42:16 2025 removing 216749 relations and 184149 ideals in 32600 cliques Sun Dec 14 21:42:17 2025 commencing in-memory singleton removal Sun Dec 14 21:42:18 2025 begin with 18829969 relations and 18612694 unique ideals Sun Dec 14 21:42:23 2025 reduce to 18828174 relations and 18426747 ideals in 5 passes Sun Dec 14 21:42:23 2025 max relations containing the same ideal: 88 Sun Dec 14 21:42:26 2025 relations with 0 large ideals: 25457 Sun Dec 14 21:42:26 2025 relations with 1 large ideals: 6360 Sun Dec 14 21:42:26 2025 relations with 2 large ideals: 46304 Sun Dec 14 21:42:26 2025 relations with 3 large ideals: 334749 Sun Dec 14 21:42:26 2025 relations with 4 large ideals: 1345996 Sun Dec 14 21:42:26 2025 relations with 5 large ideals: 3229399 Sun Dec 14 21:42:26 2025 relations with 6 large ideals: 4825795 Sun Dec 14 21:42:26 2025 relations with 7+ large ideals: 9014114 Sun Dec 14 21:42:26 2025 commencing 2-way merge Sun Dec 14 21:42:35 2025 reduce to 12379636 relation sets and 11978209 unique ideals Sun Dec 14 21:42:35 2025 commencing full merge Sun Dec 14 21:46:29 2025 memory use: 1699.9 MB Sun Dec 14 21:46:30 2025 found 5842397 cycles, need 5822409 Sun Dec 14 21:46:32 2025 weight of 5822409 cycles is about 606143652 (104.11/cycle) Sun Dec 14 21:46:32 2025 distribution of cycle lengths: Sun Dec 14 21:46:32 2025 1 relations: 331976 Sun Dec 14 21:46:32 2025 2 relations: 424298 Sun Dec 14 21:46:32 2025 3 relations: 468622 Sun Dec 14 21:46:32 2025 4 relations: 471157 Sun Dec 14 21:46:32 2025 5 relations: 466939 Sun Dec 14 21:46:32 2025 6 relations: 452368 Sun Dec 14 21:46:32 2025 7 relations: 431738 Sun Dec 14 21:46:32 2025 8 relations: 400216 Sun Dec 14 21:46:32 2025 9 relations: 366718 Sun Dec 14 21:46:32 2025 10+ relations: 2008377 Sun Dec 14 21:46:32 2025 heaviest cycle: 28 relations Sun Dec 14 21:46:33 2025 commencing cycle optimization Sun Dec 14 21:46:42 2025 start with 47551702 relations Sun Dec 14 21:48:02 2025 pruned 2041781 relations Sun Dec 14 21:48:02 2025 memory use: 1273.5 MB Sun Dec 14 21:48:02 2025 distribution of cycle lengths: Sun Dec 14 21:48:02 2025 1 relations: 331976 Sun Dec 14 21:48:02 2025 2 relations: 432801 Sun Dec 14 21:48:02 2025 3 relations: 486389 Sun Dec 14 21:48:02 2025 4 relations: 488977 Sun Dec 14 21:48:02 2025 5 relations: 489027 Sun Dec 14 21:48:02 2025 6 relations: 472454 Sun Dec 14 21:48:02 2025 7 relations: 451398 Sun Dec 14 21:48:02 2025 8 relations: 416887 Sun Dec 14 21:48:02 2025 9 relations: 380201 Sun Dec 14 21:48:02 2025 10+ relations: 1872299 Sun Dec 14 21:48:02 2025 heaviest cycle: 28 relations Sun Dec 14 21:48:10 2025 RelProcTime: 2124 Sun Dec 14 21:48:10 2025 elapsed time 00:35:25 Sun Dec 14 21:48:57 2025 Sun Dec 14 21:48:57 2025 Sun Dec 14 21:48:57 2025 Msieve v. 1.54 (SVN unknown) Sun Dec 14 21:48:57 2025 random seeds: b50bc135 cc06472d Sun Dec 14 21:48:57 2025 factoring 21683654646363827278912413491560473037159941770737763748901294504531439481411549816776765876592151123264647087838341643536197498072768162245589548911243934911001822844140279842241413920435119306655959 (200 digits) Sun Dec 14 21:48:58 2025 no P-1/P+1/ECM available, skipping Sun Dec 14 21:48:58 2025 commencing number field sieve (200-digit input) Sun Dec 14 21:48:58 2025 R0: 162335847351484129169367643154578858322 Sun Dec 14 21:48:58 2025 R1: -12741108560540724361 Sun Dec 14 21:48:58 2025 A0: -1 Sun Dec 14 21:48:58 2025 A1: 3 Sun Dec 14 21:48:58 2025 A2: 6 Sun Dec 14 21:48:58 2025 A3: -4 Sun Dec 14 21:48:58 2025 A4: -5 Sun Dec 14 21:48:58 2025 A5: 1 Sun Dec 14 21:48:58 2025 A6: 1 Sun Dec 14 21:48:58 2025 skew 1.37, size 2.726e-11, alpha 3.126, combined = 1.303e-12 rroots = 6 Sun Dec 14 21:48:58 2025 Sun Dec 14 21:48:58 2025 commencing linear algebra Sun Dec 14 21:48:58 2025 using VBITS=512 Sun Dec 14 21:48:58 2025 read 5822409 cycles Sun Dec 14 21:49:08 2025 cycles contain 18603646 unique relations Sun Dec 14 21:50:20 2025 read 18603646 relations Sun Dec 14 21:50:40 2025 using 20 quadratic characters above 4294917295 Sun Dec 14 21:51:52 2025 building initial matrix Sun Dec 14 21:54:45 2025 memory use: 2289.4 MB Sun Dec 14 21:54:46 2025 read 5822409 cycles Sun Dec 14 21:54:47 2025 matrix is 5822232 x 5822409 (2394.9 MB) with weight 679864069 (116.77/col) Sun Dec 14 21:54:47 2025 sparse part has weight 569591123 (97.83/col) Sun Dec 14 21:55:42 2025 filtering completed in 2 passes Sun Dec 14 21:55:43 2025 matrix is 5822056 x 5822199 (2394.9 MB) with weight 679857590 (116.77/col) Sun Dec 14 21:55:43 2025 sparse part has weight 569588407 (97.83/col) Sun Dec 14 21:55:57 2025 matrix starts at (0, 0) Sun Dec 14 21:55:58 2025 matrix is 5822056 x 5822199 (2394.9 MB) with weight 679857590 (116.77/col) Sun Dec 14 21:55:58 2025 sparse part has weight 569588407 (97.83/col) Sun Dec 14 21:55:58 2025 saving the first 496 matrix rows for later Sun Dec 14 21:55:59 2025 matrix includes 512 packed rows Sun Dec 14 21:56:03 2025 matrix is 5821560 x 5822199 (2289.8 MB) with weight 487291102 (83.70/col) Sun Dec 14 21:56:03 2025 sparse part has weight 460535138 (79.10/col) Sun Dec 14 21:56:03 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Dec 14 21:56:03 2025 selected card has CUDA arch 8.6 Sun Dec 14 21:56:53 2025 commencing Lanczos iteration Sun Dec 14 21:56:54 2025 memory use: 6467.6 MB Sun Dec 14 21:57:14 2025 linear algebra at 0.3%, ETA 2h 6m Sun Dec 14 21:57:15 2025 checkpointing every 2720000 dimensions Mon Dec 15 08:14:26 2025 Mon Dec 15 08:14:26 2025 Mon Dec 15 08:14:26 2025 Msieve v. 1.54 (SVN unknown) Mon Dec 15 08:14:26 2025 random seeds: 0e460739 89af2404 Mon Dec 15 08:14:26 2025 factoring 21683654646363827278912413491560473037159941770737763748901294504531439481411549816776765876592151123264647087838341643536197498072768162245589548911243934911001822844140279842241413920435119306655959 (200 digits) Mon Dec 15 08:14:26 2025 no P-1/P+1/ECM available, skipping Mon Dec 15 08:14:26 2025 commencing number field sieve (200-digit input) Mon Dec 15 08:14:26 2025 R0: 162335847351484129169367643154578858322 Mon Dec 15 08:14:26 2025 R1: -12741108560540724361 Mon Dec 15 08:14:26 2025 A0: -1 Mon Dec 15 08:14:26 2025 A1: 3 Mon Dec 15 08:14:26 2025 A2: 6 Mon Dec 15 08:14:26 2025 A3: -4 Mon Dec 15 08:14:26 2025 A4: -5 Mon Dec 15 08:14:26 2025 A5: 1 Mon Dec 15 08:14:26 2025 A6: 1 Mon Dec 15 08:14:26 2025 skew 1.37, size 2.726e-11, alpha 3.126, combined = 1.303e-12 rroots = 6 Mon Dec 15 08:14:26 2025 Mon Dec 15 08:14:26 2025 commencing linear algebra Mon Dec 15 08:14:26 2025 using VBITS=512 Mon Dec 15 08:14:26 2025 skipping matrix build Mon Dec 15 08:14:32 2025 matrix starts at (0, 0) Mon Dec 15 08:14:33 2025 matrix is 5822056 x 5822199 (2394.9 MB) with weight 679857590 (116.77/col) Mon Dec 15 08:14:33 2025 sparse part has weight 569588407 (97.83/col) Mon Dec 15 08:14:33 2025 saving the first 496 matrix rows for later Mon Dec 15 08:14:34 2025 matrix includes 512 packed rows Mon Dec 15 08:14:38 2025 matrix is 5821560 x 5822199 (2289.8 MB) with weight 487291102 (83.70/col) Mon Dec 15 08:14:38 2025 sparse part has weight 460535138 (79.10/col) Mon Dec 15 08:14:38 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Mon Dec 15 08:14:38 2025 selected card has CUDA arch 8.6 Mon Dec 15 08:15:21 2025 commencing Lanczos iteration Mon Dec 15 08:15:22 2025 memory use: 6467.6 MB Mon Dec 15 08:15:27 2025 restarting at iteration 5321 (dim = 2720211) Mon Dec 15 08:15:45 2025 checkpointing every 2870000 dimensions Mon Dec 15 08:15:46 2025 linear algebra at 47.0%, ETA 1h 3m Mon Dec 15 09:33:23 2025 lanczos halted after 11389 iterations (dim = 5821560) Mon Dec 15 09:34:28 2025 recovered 35 nontrivial dependencies Mon Dec 15 09:34:28 2025 BLanczosTime: 4802 Mon Dec 15 09:34:28 2025 Mon Dec 15 09:34:28 2025 commencing square root phase Mon Dec 15 09:34:28 2025 handling dependencies 1 to 64 Mon Dec 15 09:34:28 2025 reading relations for dependency 1 Mon Dec 15 09:34:29 2025 read 2910365 cycles Mon Dec 15 09:34:33 2025 cycles contain 9301954 unique relations Mon Dec 15 09:35:14 2025 read 9301954 relations Mon Dec 15 09:35:45 2025 multiplying 9301954 relations Mon Dec 15 09:40:02 2025 multiply complete, coefficients have about 225.99 million bits Mon Dec 15 09:40:03 2025 initial square root is modulo 128832281 Mon Dec 15 09:44:51 2025 sqrtTime: 623 Mon Dec 15 09:44:51 2025 p63 factor: 285416654028929395576009328805752699780610343474219076325378013 Mon Dec 15 09:44:51 2025 p137 factor: 75971932051890725353081760294544091767968578101993723723187397235558402493967713876472796677293323800609830114504109943336981062151307843 Mon Dec 15 09:44:51 2025 elapsed time 01:30:25