Thu Jul 3 06:02:40 2025 Thu Jul 3 06:02:40 2025 Thu Jul 3 06:02:40 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jul 3 06:02:40 2025 random seeds: 30fd7f13 ec9ce771 Thu Jul 3 06:02:40 2025 factoring 102397488152278720309782726867451186792219564086379555691725667160980460993491945760946056346272864184064337595167944501496752018832580158494765765057628905270957 (162 digits) Thu Jul 3 06:02:41 2025 searching for 15-digit factors Thu Jul 3 06:02:42 2025 commencing number field sieve (162-digit input) Thu Jul 3 06:02:42 2025 R0: 9811950973023828680132701384746 Thu Jul 3 06:02:42 2025 R1: 3244424815869211300488613 Thu Jul 3 06:02:42 2025 A0: -13763044496912003052593559227287360003 Thu Jul 3 06:02:42 2025 A1: 38584399267501526537660684985810 Thu Jul 3 06:02:42 2025 A2: 26307564572290944577746466 Thu Jul 3 06:02:42 2025 A3: -11344433324636902239 Thu Jul 3 06:02:42 2025 A4: -1543550853594 Thu Jul 3 06:02:42 2025 A5: 39480 Thu Jul 3 06:02:42 2025 skew 2938540.52, size 1.212e-15, alpha -5.857, combined = 1.291e-12 rroots = 5 Thu Jul 3 06:02:42 2025 Thu Jul 3 06:02:42 2025 commencing relation filtering Thu Jul 3 06:02:42 2025 setting target matrix density to 120.0 Thu Jul 3 06:02:42 2025 estimated available RAM is 15938.6 MB Thu Jul 3 06:02:42 2025 commencing duplicate removal, pass 1 Thu Jul 3 06:25:37 2025 found 5340421 hash collisions in 155089491 relations Thu Jul 3 06:26:28 2025 added 122000 free relations Thu Jul 3 06:26:28 2025 commencing duplicate removal, pass 2 Thu Jul 3 06:27:30 2025 found 0 duplicates and 155211491 unique relations Thu Jul 3 06:27:30 2025 memory use: 506.4 MB Thu Jul 3 06:27:30 2025 reading ideals above 69926912 Thu Jul 3 06:27:30 2025 commencing singleton removal, initial pass Thu Jul 3 06:39:54 2025 memory use: 3012.0 MB Thu Jul 3 06:39:54 2025 reading all ideals from disk Thu Jul 3 06:39:59 2025 memory use: 2917.7 MB Thu Jul 3 06:40:06 2025 commencing in-memory singleton removal Thu Jul 3 06:40:14 2025 begin with 155211491 relations and 127126906 unique ideals Thu Jul 3 06:41:27 2025 reduce to 107959428 relations and 75711053 ideals in 13 passes Thu Jul 3 06:41:27 2025 max relations containing the same ideal: 70 Thu Jul 3 06:41:35 2025 reading ideals above 720000 Thu Jul 3 06:41:36 2025 commencing singleton removal, initial pass Thu Jul 3 06:52:25 2025 memory use: 2756.0 MB Thu Jul 3 06:52:25 2025 reading all ideals from disk Thu Jul 3 06:52:33 2025 memory use: 4061.2 MB Thu Jul 3 06:52:46 2025 keeping 83407383 ideals with weight <= 200, target excess is 535494 Thu Jul 3 06:53:00 2025 commencing in-memory singleton removal Thu Jul 3 06:53:10 2025 begin with 107959428 relations and 83407383 unique ideals Thu Jul 3 06:54:00 2025 reduce to 107959166 relations and 83407121 ideals in 5 passes Thu Jul 3 06:54:00 2025 max relations containing the same ideal: 200 Thu Jul 3 06:54:50 2025 removing 9386108 relations and 7386108 ideals in 2000000 cliques Thu Jul 3 06:54:54 2025 commencing in-memory singleton removal Thu Jul 3 06:55:04 2025 begin with 98573058 relations and 83407121 unique ideals Thu Jul 3 06:56:00 2025 reduce to 97900273 relations and 75332223 ideals in 7 passes Thu Jul 3 06:56:00 2025 max relations containing the same ideal: 195 Thu Jul 3 06:56:51 2025 removing 7306496 relations and 5306496 ideals in 2000000 cliques Thu Jul 3 06:56:55 2025 commencing in-memory singleton removal Thu Jul 3 06:57:04 2025 begin with 90593777 relations and 75332223 unique ideals Thu Jul 3 06:58:07 2025 reduce to 90131937 relations and 69554050 ideals in 7 passes Thu Jul 3 06:58:07 2025 max relations containing the same ideal: 187 Thu Jul 3 06:59:03 2025 removing 6731625 relations and 4731625 ideals in 2000000 cliques Thu Jul 3 06:59:07 2025 commencing in-memory singleton removal Thu Jul 3 06:59:17 2025 begin with 83400312 relations and 69554050 unique ideals Thu Jul 3 07:00:25 2025 reduce to 82989797 relations and 64402993 ideals in 7 passes Thu Jul 3 07:00:25 2025 max relations containing the same ideal: 179 Thu Jul 3 07:01:15 2025 removing 6447519 relations and 4447519 ideals in 2000000 cliques Thu Jul 3 07:01:19 2025 commencing in-memory singleton removal Thu Jul 3 07:01:26 2025 begin with 76542278 relations and 64402993 unique ideals Thu Jul 3 07:02:22 2025 reduce to 76146705 relations and 59550894 ideals in 7 passes Thu Jul 3 07:02:22 2025 max relations containing the same ideal: 170 Thu Jul 3 07:03:13 2025 removing 6278584 relations and 4278584 ideals in 2000000 cliques Thu Jul 3 07:03:16 2025 commencing in-memory singleton removal Thu Jul 3 07:03:25 2025 begin with 69868121 relations and 59550894 unique ideals Thu Jul 3 07:04:29 2025 reduce to 69471651 relations and 54866279 ideals in 7 passes Thu Jul 3 07:04:29 2025 max relations containing the same ideal: 158 Thu Jul 3 07:05:15 2025 removing 6174794 relations and 4174794 ideals in 2000000 cliques Thu Jul 3 07:05:18 2025 commencing in-memory singleton removal Thu Jul 3 07:05:26 2025 begin with 63296857 relations and 54866279 unique ideals Thu Jul 3 07:06:17 2025 reduce to 62885974 relations and 50270004 ideals in 7 passes Thu Jul 3 07:06:17 2025 max relations containing the same ideal: 148 Thu Jul 3 07:06:53 2025 removing 6120448 relations and 4120448 ideals in 2000000 cliques Thu Jul 3 07:06:56 2025 commencing in-memory singleton removal Thu Jul 3 07:07:02 2025 begin with 56765526 relations and 50270004 unique ideals Thu Jul 3 07:07:43 2025 reduce to 56329267 relations and 45700893 ideals in 7 passes Thu Jul 3 07:07:43 2025 max relations containing the same ideal: 139 Thu Jul 3 07:08:25 2025 removing 6099325 relations and 4099325 ideals in 2000000 cliques Thu Jul 3 07:08:29 2025 commencing in-memory singleton removal Thu Jul 3 07:08:36 2025 begin with 50229942 relations and 45700893 unique ideals Thu Jul 3 07:09:39 2025 reduce to 49751960 relations and 41108917 ideals in 8 passes Thu Jul 3 07:09:39 2025 max relations containing the same ideal: 129 Thu Jul 3 07:10:31 2025 removing 6110998 relations and 4110998 ideals in 2000000 cliques Thu Jul 3 07:10:35 2025 commencing in-memory singleton removal Thu Jul 3 07:10:42 2025 begin with 43640962 relations and 41108917 unique ideals Thu Jul 3 07:11:50 2025 reduce to 43100448 relations and 36438530 ideals in 8 passes Thu Jul 3 07:11:50 2025 max relations containing the same ideal: 114 Thu Jul 3 07:12:35 2025 removing 6158913 relations and 4158913 ideals in 2000000 cliques Thu Jul 3 07:12:39 2025 commencing in-memory singleton removal Thu Jul 3 07:12:46 2025 begin with 36941535 relations and 36438530 unique ideals Thu Jul 3 07:13:37 2025 reduce to 36306890 relations and 31619677 ideals in 7 passes Thu Jul 3 07:13:37 2025 max relations containing the same ideal: 104 Thu Jul 3 07:14:17 2025 removing 6245968 relations and 4245968 ideals in 2000000 cliques Thu Jul 3 07:14:20 2025 commencing in-memory singleton removal Thu Jul 3 07:14:25 2025 begin with 30060922 relations and 31619677 unique ideals Thu Jul 3 07:15:06 2025 reduce to 29275233 relations and 26550644 ideals in 8 passes Thu Jul 3 07:15:06 2025 max relations containing the same ideal: 89 Thu Jul 3 07:15:37 2025 removing 6379393 relations and 4379393 ideals in 2000000 cliques Thu Jul 3 07:15:40 2025 commencing in-memory singleton removal Thu Jul 3 07:15:44 2025 begin with 22895840 relations and 26550644 unique ideals Thu Jul 3 07:16:29 2025 reduce to 21854662 relations and 21067852 ideals in 11 passes Thu Jul 3 07:16:29 2025 max relations containing the same ideal: 72 Thu Jul 3 07:16:52 2025 removing 944644 relations and 779008 ideals in 165636 cliques Thu Jul 3 07:16:54 2025 commencing in-memory singleton removal Thu Jul 3 07:16:57 2025 begin with 20910018 relations and 21067852 unique ideals Thu Jul 3 07:17:22 2025 reduce to 20880647 relations and 20259248 ideals in 6 passes Thu Jul 3 07:17:22 2025 max relations containing the same ideal: 70 Thu Jul 3 07:17:51 2025 relations with 0 large ideals: 1934 Thu Jul 3 07:17:51 2025 relations with 1 large ideals: 8669 Thu Jul 3 07:17:51 2025 relations with 2 large ideals: 127760 Thu Jul 3 07:17:51 2025 relations with 3 large ideals: 797018 Thu Jul 3 07:17:51 2025 relations with 4 large ideals: 2609693 Thu Jul 3 07:17:51 2025 relations with 5 large ideals: 4977359 Thu Jul 3 07:17:51 2025 relations with 6 large ideals: 5830942 Thu Jul 3 07:17:51 2025 relations with 7+ large ideals: 6527272 Thu Jul 3 07:17:51 2025 commencing 2-way merge Thu Jul 3 07:18:19 2025 reduce to 13028867 relation sets and 12407468 unique ideals Thu Jul 3 07:18:19 2025 commencing full merge Thu Jul 3 07:27:13 2025 memory use: 1608.9 MB Thu Jul 3 07:27:15 2025 found 5837119 cycles, need 5801668 Thu Jul 3 07:27:17 2025 weight of 5801668 cycles is about 696371475 (120.03/cycle) Thu Jul 3 07:27:17 2025 distribution of cycle lengths: Thu Jul 3 07:27:17 2025 1 relations: 280457 Thu Jul 3 07:27:17 2025 2 relations: 375087 Thu Jul 3 07:27:17 2025 3 relations: 414949 Thu Jul 3 07:27:17 2025 4 relations: 415898 Thu Jul 3 07:27:17 2025 5 relations: 419468 Thu Jul 3 07:27:17 2025 6 relations: 415706 Thu Jul 3 07:27:17 2025 7 relations: 410357 Thu Jul 3 07:27:17 2025 8 relations: 389397 Thu Jul 3 07:27:17 2025 9 relations: 366005 Thu Jul 3 07:27:17 2025 10+ relations: 2314344 Thu Jul 3 07:27:17 2025 heaviest cycle: 28 relations Thu Jul 3 07:27:19 2025 commencing cycle optimization Thu Jul 3 07:27:37 2025 start with 51313045 relations Thu Jul 3 07:29:45 2025 pruned 2295141 relations Thu Jul 3 07:29:45 2025 memory use: 1384.4 MB Thu Jul 3 07:29:45 2025 distribution of cycle lengths: Thu Jul 3 07:29:45 2025 1 relations: 280457 Thu Jul 3 07:29:45 2025 2 relations: 384693 Thu Jul 3 07:29:45 2025 3 relations: 432428 Thu Jul 3 07:29:45 2025 4 relations: 432572 Thu Jul 3 07:29:45 2025 5 relations: 439752 Thu Jul 3 07:29:45 2025 6 relations: 434948 Thu Jul 3 07:29:45 2025 7 relations: 431825 Thu Jul 3 07:29:45 2025 8 relations: 407548 Thu Jul 3 07:29:45 2025 9 relations: 382574 Thu Jul 3 07:29:45 2025 10+ relations: 2174871 Thu Jul 3 07:29:45 2025 heaviest cycle: 28 relations Thu Jul 3 07:29:59 2025 RelProcTime: 5237 Thu Jul 3 07:29:59 2025 elapsed time 01:27:19 Thu Jul 3 10:33:52 2025 Thu Jul 3 10:33:52 2025 Thu Jul 3 10:33:52 2025 Msieve v. 1.54 (SVN unknown) Thu Jul 3 10:33:52 2025 random seeds: 9198b776 f0f8224f Thu Jul 3 10:33:52 2025 factoring 102397488152278720309782726867451186792219564086379555691725667160980460993491945760946056346272864184064337595167944501496752018832580158494765765057628905270957 (162 digits) Thu Jul 3 10:33:52 2025 no P-1/P+1/ECM available, skipping Thu Jul 3 10:33:52 2025 commencing number field sieve (162-digit input) Thu Jul 3 10:33:52 2025 R0: 9811950973023828680132701384746 Thu Jul 3 10:33:52 2025 R1: 3244424815869211300488613 Thu Jul 3 10:33:52 2025 A0: -13763044496912003052593559227287360003 Thu Jul 3 10:33:52 2025 A1: 38584399267501526537660684985810 Thu Jul 3 10:33:52 2025 A2: 26307564572290944577746466 Thu Jul 3 10:33:52 2025 A3: -11344433324636902239 Thu Jul 3 10:33:52 2025 A4: -1543550853594 Thu Jul 3 10:33:52 2025 A5: 39480 Thu Jul 3 10:33:52 2025 skew 2938540.52, size 1.212e-15, alpha -5.857, combined = 1.291e-12 rroots = 5 Thu Jul 3 10:33:52 2025 Thu Jul 3 10:33:52 2025 commencing linear algebra Thu Jul 3 10:33:52 2025 using VBITS=512 Thu Jul 3 10:33:53 2025 read 5801414 cycles Thu Jul 3 10:34:09 2025 cycles contain 20514075 unique relations Thu Jul 3 10:36:06 2025 read 20514075 relations Thu Jul 3 10:36:48 2025 using 20 quadratic characters above 4294917295 Thu Jul 3 10:38:38 2025 building initial matrix Thu Jul 3 10:44:45 2025 memory use: 2784.0 MB Thu Jul 3 10:44:49 2025 read 5801414 cycles Thu Jul 3 10:44:50 2025 matrix is 5801239 x 5801414 (2734.7 MB) with weight 833844561 (143.73/col) Thu Jul 3 10:44:50 2025 sparse part has weight 647260125 (111.57/col) Thu Jul 3 10:45:44 2025 filtering completed in 1 passes Thu Jul 3 10:45:45 2025 matrix is 5801239 x 5801414 (2734.7 MB) with weight 833844561 (143.73/col) Thu Jul 3 10:45:45 2025 sparse part has weight 647260125 (111.57/col) Thu Jul 3 10:46:00 2025 matrix starts at (0, 0) Thu Jul 3 10:46:01 2025 matrix is 5801239 x 5801414 (2734.7 MB) with weight 833844561 (143.73/col) Thu Jul 3 10:46:01 2025 sparse part has weight 647260125 (111.57/col) Thu Jul 3 10:46:01 2025 saving the first 496 matrix rows for later Thu Jul 3 10:46:03 2025 matrix includes 512 packed rows Thu Jul 3 10:46:08 2025 matrix is 5800743 x 5801414 (2510.1 MB) with weight 553691532 (95.44/col) Thu Jul 3 10:46:08 2025 sparse part has weight 518761152 (89.42/col) Thu Jul 3 10:46:09 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Jul 3 10:46:09 2025 selected card has CUDA arch 8.6 Thu Jul 3 11:16:35 2025 Thu Jul 3 11:16:35 2025 Thu Jul 3 11:16:35 2025 Msieve v. 1.54 (SVN unknown) Thu Jul 3 11:16:35 2025 random seeds: 4889855d 12a4d558 Thu Jul 3 11:16:35 2025 factoring 102397488152278720309782726867451186792219564086379555691725667160980460993491945760946056346272864184064337595167944501496752018832580158494765765057628905270957 (162 digits) Thu Jul 3 11:16:36 2025 no P-1/P+1/ECM available, skipping Thu Jul 3 11:16:36 2025 commencing number field sieve (162-digit input) Thu Jul 3 11:16:36 2025 R0: 9811950973023828680132701384746 Thu Jul 3 11:16:36 2025 R1: 3244424815869211300488613 Thu Jul 3 11:16:36 2025 A0: -13763044496912003052593559227287360003 Thu Jul 3 11:16:36 2025 A1: 38584399267501526537660684985810 Thu Jul 3 11:16:36 2025 A2: 26307564572290944577746466 Thu Jul 3 11:16:36 2025 A3: -11344433324636902239 Thu Jul 3 11:16:36 2025 A4: -1543550853594 Thu Jul 3 11:16:36 2025 A5: 39480 Thu Jul 3 11:16:36 2025 skew 2938540.52, size 1.212e-15, alpha -5.857, combined = 1.291e-12 rroots = 5 Thu Jul 3 11:16:36 2025 Thu Jul 3 11:16:36 2025 commencing linear algebra Thu Jul 3 11:16:36 2025 using VBITS=512 Thu Jul 3 11:16:36 2025 skipping matrix build Thu Jul 3 11:16:42 2025 matrix starts at (0, 0) Thu Jul 3 11:16:44 2025 matrix is 5801239 x 5801414 (2734.7 MB) with weight 833844561 (143.73/col) Thu Jul 3 11:16:44 2025 sparse part has weight 647260125 (111.57/col) Thu Jul 3 11:16:44 2025 saving the first 496 matrix rows for later Thu Jul 3 11:16:46 2025 matrix includes 512 packed rows Thu Jul 3 11:16:50 2025 matrix is 5800743 x 5801414 (2510.1 MB) with weight 553691532 (95.44/col) Thu Jul 3 11:16:50 2025 sparse part has weight 518761152 (89.42/col) Thu Jul 3 11:16:51 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Jul 3 11:16:51 2025 selected card has CUDA arch 8.6 Thu Jul 3 11:17:41 2025 commencing Lanczos iteration Thu Jul 3 11:17:42 2025 memory use: 6879.1 MB Thu Jul 3 11:18:04 2025 linear algebra at 0.3%, ETA 2h12m Thu Jul 3 11:18:04 2025 checkpointing every 2720000 dimensions Thu Jul 3 13:42:20 2025 lanczos halted after 11348 iterations (dim = 5800742) Thu Jul 3 13:44:03 2025 recovered 30 nontrivial dependencies Thu Jul 3 13:44:04 2025 BLanczosTime: 8848 Thu Jul 3 13:44:04 2025 Thu Jul 3 13:44:04 2025 commencing square root phase Thu Jul 3 13:44:04 2025 handling dependencies 1 to 64 Thu Jul 3 13:44:04 2025 reading relations for dependency 1 Thu Jul 3 13:44:05 2025 read 2899370 cycles Thu Jul 3 13:44:13 2025 cycles contain 10254440 unique relations Thu Jul 3 13:45:38 2025 read 10254440 relations Thu Jul 3 13:46:38 2025 multiplying 10254440 relations Thu Jul 3 13:59:07 2025 multiply complete, coefficients have about 547.61 million bits Thu Jul 3 13:59:08 2025 error: relation product is incorrect Thu Jul 3 13:59:08 2025 algebraic square root failed Thu Jul 3 13:59:08 2025 reading relations for dependency 2 Thu Jul 3 13:59:09 2025 read 2900059 cycles Thu Jul 3 13:59:15 2025 cycles contain 10254642 unique relations Thu Jul 3 14:00:38 2025 read 10254642 relations Thu Jul 3 14:01:40 2025 multiplying 10254642 relations Thu Jul 3 14:14:14 2025 multiply complete, coefficients have about 547.63 million bits Thu Jul 3 14:14:15 2025 error: relation product is incorrect Thu Jul 3 14:14:15 2025 algebraic square root failed Thu Jul 3 14:14:15 2025 reading relations for dependency 3 Thu Jul 3 14:14:16 2025 read 2899425 cycles Thu Jul 3 14:14:23 2025 cycles contain 10251354 unique relations Thu Jul 3 14:15:46 2025 read 10251354 relations Thu Jul 3 14:16:53 2025 multiplying 10251354 relations Thu Jul 3 14:29:15 2025 multiply complete, coefficients have about 547.45 million bits Thu Jul 3 14:29:18 2025 initial square root is modulo 81569 Thu Jul 3 14:43:42 2025 sqrtTime: 3578 Thu Jul 3 14:43:42 2025 p72 factor: 148651518561008051539262510859890297225881046561732199997438022593852007 Thu Jul 3 14:43:42 2025 p90 factor: 688842530123590898464765461842555666217585987922484834393959711384159492445557749638459851 Thu Jul 3 14:43:42 2025 elapsed time 03:27:07