Sun Feb 15 17:17:49 2026 Sun Feb 15 17:17:49 2026 Sun Feb 15 17:17:49 2026 Msieve v. 1.53 (SVN 988) Sun Feb 15 17:17:49 2026 random seeds: 0eafada0 d4dacc46 Sun Feb 15 17:17:49 2026 factoring 9943959168721231475524903555384433379651403836118885819574175970961059840945310183183127746016228550116817039830698606271116040085586727289667698928978245816129 (160 digits) Sun Feb 15 17:17:50 2026 searching for 15-digit factors Sun Feb 15 17:17:50 2026 commencing number field sieve (160-digit input) Sun Feb 15 17:17:50 2026 R0: 8639018501742087815448329017598 Sun Feb 15 17:17:50 2026 R1: -164860629741202250466091 Sun Feb 15 17:17:50 2026 A0: -4441518338830419934048484836199407365 Sun Feb 15 17:17:50 2026 A1: 19668364069049955631095335134146 Sun Feb 15 17:17:50 2026 A2: -16593988803545342294878111 Sun Feb 15 17:17:50 2026 A3: -6396452116543069464 Sun Feb 15 17:17:50 2026 A4: 546711114038 Sun Feb 15 17:17:50 2026 A5: 198660 Sun Feb 15 17:17:50 2026 skew 3176246.92, size 1.756e-015, alpha -5.808, combined = 1.594e-012 rroots = 5 Sun Feb 15 17:17:50 2026 Sun Feb 15 17:17:50 2026 commencing relation filtering Sun Feb 15 17:17:50 2026 setting target matrix density to 130.0 Sun Feb 15 17:17:50 2026 estimated available RAM is 16151.1 MB Sun Feb 15 17:18:38 2026 Sun Feb 15 17:18:38 2026 Sun Feb 15 17:18:38 2026 Msieve v. 1.53 (SVN 988) Sun Feb 15 17:18:38 2026 random seeds: b576d180 41e0b9db Sun Feb 15 17:18:38 2026 factoring 9943959168721231475524903555384433379651403836118885819574175970961059840945310183183127746016228550116817039830698606271116040085586727289667698928978245816129 (160 digits) Sun Feb 15 17:18:39 2026 searching for 15-digit factors Sun Feb 15 17:18:39 2026 commencing number field sieve (160-digit input) Sun Feb 15 17:18:39 2026 R0: 8639018501742087815448329017598 Sun Feb 15 17:18:39 2026 R1: -164860629741202250466091 Sun Feb 15 17:18:39 2026 A0: -4441518338830419934048484836199407365 Sun Feb 15 17:18:39 2026 A1: 19668364069049955631095335134146 Sun Feb 15 17:18:39 2026 A2: -16593988803545342294878111 Sun Feb 15 17:18:39 2026 A3: -6396452116543069464 Sun Feb 15 17:18:39 2026 A4: 546711114038 Sun Feb 15 17:18:39 2026 A5: 198660 Sun Feb 15 17:18:39 2026 skew 3176246.92, size 1.756e-015, alpha -5.808, combined = 1.594e-012 rroots = 5 Sun Feb 15 17:18:39 2026 Sun Feb 15 17:18:39 2026 commencing relation filtering Sun Feb 15 17:18:39 2026 setting target matrix density to 130.0 Sun Feb 15 17:18:39 2026 estimated available RAM is 16151.1 MB Sun Feb 15 17:18:39 2026 commencing duplicate removal, pass 1 Sun Feb 15 17:19:25 2026 error -15 reading relation 6845359 Sun Feb 15 17:19:30 2026 error -9 reading relation 7695332 Sun Feb 15 17:20:29 2026 error -9 reading relation 17489734 Sun Feb 15 17:20:33 2026 error -15 reading relation 18208617 Sun Feb 15 17:20:38 2026 error -15 reading relation 19059461 Sun Feb 15 17:21:27 2026 error -1 reading relation 27414592 Sun Feb 15 17:21:44 2026 error -5 reading relation 30311781 Sun Feb 15 17:22:02 2026 error -15 reading relation 33427812 Sun Feb 15 17:22:13 2026 error -9 reading relation 35175536 Sun Feb 15 17:22:17 2026 error -15 reading relation 35880635 Sun Feb 15 17:22:55 2026 error -15 reading relation 42025405 Sun Feb 15 17:23:29 2026 error -15 reading relation 47313297 Sun Feb 15 17:25:36 2026 error -15 reading relation 67737308 Sun Feb 15 17:25:53 2026 error -9 reading relation 70382524 Sun Feb 15 17:25:54 2026 error -9 reading relation 70648107 Sun Feb 15 17:26:51 2026 error -15 reading relation 79573891 Sun Feb 15 17:26:51 2026 error -1 reading relation 79612416 Sun Feb 15 17:26:58 2026 error -9 reading relation 80573839 Sun Feb 15 17:27:11 2026 error -1 reading relation 82512994 Sun Feb 15 17:27:16 2026 error -9 reading relation 83211360 Sun Feb 15 17:27:20 2026 error -15 reading relation 83687433 Sun Feb 15 17:27:25 2026 error -15 reading relation 84491953 Sun Feb 15 17:27:28 2026 error -9 reading relation 84938581 Sun Feb 15 17:27:36 2026 error -9 reading relation 86040660 Sun Feb 15 17:27:42 2026 error -15 reading relation 86859116 Sun Feb 15 17:27:42 2026 error -9 reading relation 86886109 Sun Feb 15 17:27:43 2026 error -9 reading relation 87023898 Sun Feb 15 17:27:45 2026 error -15 reading relation 87388081 Sun Feb 15 17:27:48 2026 error -9 reading relation 87857745 Sun Feb 15 17:27:51 2026 error -15 reading relation 88433150 Sun Feb 15 17:27:52 2026 error -15 reading relation 88624718 Sun Feb 15 17:27:56 2026 error -9 reading relation 89185223 Sun Feb 15 17:27:56 2026 error -1 reading relation 89242033 Sun Feb 15 17:27:56 2026 error -1 reading relation 89327174 Sun Feb 15 17:27:58 2026 error -15 reading relation 89627451 Sun Feb 15 17:27:58 2026 error -15 reading relation 89633886 Sun Feb 15 17:28:04 2026 error -1 reading relation 90519226 Sun Feb 15 17:28:06 2026 error -9 reading relation 90653069 Sun Feb 15 17:28:09 2026 error -15 reading relation 91042012 Sun Feb 15 17:28:10 2026 error -15 reading relation 91110242 Sun Feb 15 17:28:11 2026 error -15 reading relation 91170296 Sun Feb 15 17:28:12 2026 error -1 reading relation 91281969 Sun Feb 15 17:28:18 2026 error -15 reading relation 91818289 Sun Feb 15 17:28:24 2026 error -1 reading relation 92434106 Sun Feb 15 17:28:24 2026 error -9 reading relation 92436902 Sun Feb 15 17:28:32 2026 error -9 reading relation 93045194 Sun Feb 15 17:28:32 2026 error -15 reading relation 93052283 Sun Feb 15 17:28:44 2026 error -9 reading relation 93948416 Sun Feb 15 17:29:08 2026 error -15 reading relation 97700048 Sun Feb 15 17:29:18 2026 error -15 reading relation 99616657 Sun Feb 15 17:29:32 2026 error -15 reading relation 102021716 Sun Feb 15 17:29:53 2026 error -9 reading relation 105727930 Sun Feb 15 17:30:23 2026 error -9 reading relation 110975578 Sun Feb 15 17:30:23 2026 error -9 reading relation 111101789 Sun Feb 15 17:30:49 2026 error -15 reading relation 115770077 Sun Feb 15 17:31:29 2026 error -9 reading relation 123123536 Sun Feb 15 17:31:39 2026 error -1 reading relation 124880050 Sun Feb 15 17:31:40 2026 error -15 reading relation 125134581 Sun Feb 15 17:31:41 2026 error -9 reading relation 125168513 Sun Feb 15 17:31:41 2026 error -9 reading relation 125240651 Sun Feb 15 17:31:42 2026 error -15 reading relation 125410634 Sun Feb 15 17:31:44 2026 error -5 reading relation 125804660 Sun Feb 15 17:31:44 2026 error -9 reading relation 125836715 Sun Feb 15 17:31:45 2026 error -9 reading relation 125940682 Sun Feb 15 17:31:45 2026 error -15 reading relation 125973351 Sun Feb 15 17:31:46 2026 error -9 reading relation 126149752 Sun Feb 15 17:31:46 2026 error -9 reading relation 126183289 Sun Feb 15 17:31:47 2026 error -15 reading relation 126218777 Sun Feb 15 17:31:47 2026 error -1 reading relation 126252494 Sun Feb 15 17:31:47 2026 error -15 reading relation 126315781 Sun Feb 15 17:31:48 2026 error -9 reading relation 126414098 Sun Feb 15 17:31:48 2026 error -9 reading relation 126550486 Sun Feb 15 17:32:08 2026 error -15 reading relation 130025227 Sun Feb 15 17:32:08 2026 error -15 reading relation 130094026 Sun Feb 15 17:32:24 2026 skipped 32 relations with composite factors Sun Feb 15 17:32:24 2026 found 23929772 hash collisions in 132935004 relations Sun Feb 15 17:32:46 2026 added 121604 free relations Sun Feb 15 17:32:46 2026 commencing duplicate removal, pass 2 Sun Feb 15 17:34:09 2026 found 24234304 duplicates and 108822304 unique relations Sun Feb 15 17:34:09 2026 memory use: 788.8 MB Sun Feb 15 17:34:09 2026 reading ideals above 86966272 Sun Feb 15 17:34:09 2026 commencing singleton removal, initial pass Sun Feb 15 17:42:11 2026 memory use: 1506.0 MB Sun Feb 15 17:42:11 2026 reading all ideals from disk Sun Feb 15 17:42:14 2026 memory use: 1740.9 MB Sun Feb 15 17:42:18 2026 commencing in-memory singleton removal Sun Feb 15 17:42:22 2026 begin with 108822304 relations and 80206082 unique ideals Sun Feb 15 17:42:59 2026 reduce to 77159114 relations and 45957489 ideals in 12 passes Sun Feb 15 17:42:59 2026 max relations containing the same ideal: 40 Sun Feb 15 17:43:05 2026 reading ideals above 720000 Sun Feb 15 17:43:05 2026 commencing singleton removal, initial pass Sun Feb 15 17:50:51 2026 memory use: 1506.0 MB Sun Feb 15 17:50:51 2026 reading all ideals from disk Sun Feb 15 17:50:57 2026 memory use: 2842.4 MB Sun Feb 15 17:51:06 2026 keeping 55645077 ideals with weight <= 200, target excess is 416732 Sun Feb 15 17:51:14 2026 commencing in-memory singleton removal Sun Feb 15 17:51:22 2026 begin with 77159117 relations and 55645077 unique ideals Sun Feb 15 17:52:19 2026 reduce to 77144752 relations and 55630711 ideals in 9 passes Sun Feb 15 17:52:19 2026 max relations containing the same ideal: 200 Sun Feb 15 17:52:54 2026 removing 7625841 relations and 5625841 ideals in 2000000 cliques Sun Feb 15 17:52:56 2026 commencing in-memory singleton removal Sun Feb 15 17:53:03 2026 begin with 69518911 relations and 55630711 unique ideals Sun Feb 15 17:53:42 2026 reduce to 68929674 relations and 49397088 ideals in 7 passes Sun Feb 15 17:53:42 2026 max relations containing the same ideal: 196 Sun Feb 15 17:54:14 2026 removing 6126352 relations and 4126352 ideals in 2000000 cliques Sun Feb 15 17:54:16 2026 commencing in-memory singleton removal Sun Feb 15 17:54:22 2026 begin with 62803322 relations and 49397088 unique ideals Sun Feb 15 17:54:52 2026 reduce to 62401633 relations and 44857378 ideals in 6 passes Sun Feb 15 17:54:52 2026 max relations containing the same ideal: 185 Sun Feb 15 17:55:21 2026 removing 5727201 relations and 3727201 ideals in 2000000 cliques Sun Feb 15 17:55:23 2026 commencing in-memory singleton removal Sun Feb 15 17:55:28 2026 begin with 56674432 relations and 44857378 unique ideals Sun Feb 15 17:55:55 2026 reduce to 56321304 relations and 40766465 ideals in 6 passes Sun Feb 15 17:55:55 2026 max relations containing the same ideal: 172 Sun Feb 15 17:56:22 2026 removing 5518463 relations and 3518463 ideals in 2000000 cliques Sun Feb 15 17:56:24 2026 commencing in-memory singleton removal Sun Feb 15 17:56:29 2026 begin with 50802841 relations and 40766465 unique ideals Sun Feb 15 17:56:52 2026 reduce to 50467478 relations and 36902034 ideals in 6 passes Sun Feb 15 17:56:52 2026 max relations containing the same ideal: 160 Sun Feb 15 17:57:17 2026 removing 5386118 relations and 3386118 ideals in 2000000 cliques Sun Feb 15 17:57:18 2026 commencing in-memory singleton removal Sun Feb 15 17:57:22 2026 begin with 45081360 relations and 36902034 unique ideals Sun Feb 15 17:57:47 2026 reduce to 44750380 relations and 33173596 ideals in 7 passes Sun Feb 15 17:57:47 2026 max relations containing the same ideal: 152 Sun Feb 15 17:58:09 2026 removing 5289024 relations and 3289024 ideals in 2000000 cliques Sun Feb 15 17:58:10 2026 commencing in-memory singleton removal Sun Feb 15 17:58:14 2026 begin with 39461356 relations and 33173596 unique ideals Sun Feb 15 17:58:35 2026 reduce to 39120039 relations and 29530339 ideals in 7 passes Sun Feb 15 17:58:35 2026 max relations containing the same ideal: 136 Sun Feb 15 17:58:54 2026 removing 5220516 relations and 3220516 ideals in 2000000 cliques Sun Feb 15 17:58:55 2026 commencing in-memory singleton removal Sun Feb 15 17:58:58 2026 begin with 33899523 relations and 29530339 unique ideals Sun Feb 15 17:59:14 2026 reduce to 33540380 relations and 25935506 ideals in 6 passes Sun Feb 15 17:59:14 2026 max relations containing the same ideal: 126 Sun Feb 15 17:59:30 2026 removing 5162455 relations and 3162455 ideals in 2000000 cliques Sun Feb 15 17:59:31 2026 commencing in-memory singleton removal Sun Feb 15 17:59:34 2026 begin with 28377925 relations and 25935506 unique ideals Sun Feb 15 17:59:49 2026 reduce to 27987567 relations and 22363743 ideals in 7 passes Sun Feb 15 17:59:49 2026 max relations containing the same ideal: 108 Sun Feb 15 18:00:02 2026 removing 5110211 relations and 3110211 ideals in 2000000 cliques Sun Feb 15 18:00:03 2026 commencing in-memory singleton removal Sun Feb 15 18:00:05 2026 begin with 22877356 relations and 22363743 unique ideals Sun Feb 15 18:00:17 2026 reduce to 22435540 relations and 18786701 ideals in 7 passes Sun Feb 15 18:00:17 2026 max relations containing the same ideal: 94 Sun Feb 15 18:00:28 2026 removing 5059576 relations and 3059576 ideals in 2000000 cliques Sun Feb 15 18:00:29 2026 commencing in-memory singleton removal Sun Feb 15 18:00:31 2026 begin with 17375964 relations and 18786701 unique ideals Sun Feb 15 18:00:40 2026 reduce to 16840256 relations and 15153880 ideals in 7 passes Sun Feb 15 18:00:40 2026 max relations containing the same ideal: 76 Sun Feb 15 18:00:47 2026 removing 3239391 relations and 2036425 ideals in 1202966 cliques Sun Feb 15 18:00:48 2026 commencing in-memory singleton removal Sun Feb 15 18:00:49 2026 begin with 13600865 relations and 15153880 unique ideals Sun Feb 15 18:00:56 2026 reduce to 13206968 relations and 12699337 ideals in 7 passes Sun Feb 15 18:00:56 2026 max relations containing the same ideal: 63 Sun Feb 15 18:01:02 2026 removing 128009 relations and 103788 ideals in 24221 cliques Sun Feb 15 18:01:03 2026 commencing in-memory singleton removal Sun Feb 15 18:01:04 2026 begin with 13078959 relations and 12699337 unique ideals Sun Feb 15 18:01:07 2026 reduce to 13077897 relations and 12594483 ideals in 4 passes Sun Feb 15 18:01:07 2026 max relations containing the same ideal: 63 Sun Feb 15 18:01:09 2026 relations with 0 large ideals: 1395 Sun Feb 15 18:01:09 2026 relations with 1 large ideals: 7996 Sun Feb 15 18:01:09 2026 relations with 2 large ideals: 107974 Sun Feb 15 18:01:09 2026 relations with 3 large ideals: 623994 Sun Feb 15 18:01:09 2026 relations with 4 large ideals: 1868449 Sun Feb 15 18:01:09 2026 relations with 5 large ideals: 3255465 Sun Feb 15 18:01:09 2026 relations with 6 large ideals: 3520595 Sun Feb 15 18:01:09 2026 relations with 7+ large ideals: 3692029 Sun Feb 15 18:01:09 2026 commencing 2-way merge Sun Feb 15 18:01:18 2026 reduce to 9163128 relation sets and 8679714 unique ideals Sun Feb 15 18:01:18 2026 commencing full merge Sun Feb 15 18:04:34 2026 memory use: 1091.9 MB Sun Feb 15 18:04:36 2026 found 4023663 cycles, need 3995914 Sun Feb 15 18:04:36 2026 weight of 3995914 cycles is about 520112103 (130.16/cycle) Sun Feb 15 18:04:36 2026 distribution of cycle lengths: Sun Feb 15 18:04:36 2026 1 relations: 61029 Sun Feb 15 18:04:36 2026 2 relations: 177410 Sun Feb 15 18:04:36 2026 3 relations: 246658 Sun Feb 15 18:04:36 2026 4 relations: 282040 Sun Feb 15 18:04:36 2026 5 relations: 311350 Sun Feb 15 18:04:36 2026 6 relations: 319815 Sun Feb 15 18:04:36 2026 7 relations: 321146 Sun Feb 15 18:04:36 2026 8 relations: 306683 Sun Feb 15 18:04:36 2026 9 relations: 286041 Sun Feb 15 18:04:36 2026 10+ relations: 1683742 Sun Feb 15 18:04:36 2026 heaviest cycle: 28 relations Sun Feb 15 18:04:38 2026 commencing cycle optimization Sun Feb 15 18:04:45 2026 start with 37151807 relations Sun Feb 15 18:06:22 2026 pruned 2204488 relations Sun Feb 15 18:06:22 2026 memory use: 925.6 MB Sun Feb 15 18:06:22 2026 distribution of cycle lengths: Sun Feb 15 18:06:22 2026 1 relations: 61029 Sun Feb 15 18:06:22 2026 2 relations: 183625 Sun Feb 15 18:06:22 2026 3 relations: 260016 Sun Feb 15 18:06:22 2026 4 relations: 298434 Sun Feb 15 18:06:22 2026 5 relations: 333333 Sun Feb 15 18:06:22 2026 6 relations: 343096 Sun Feb 15 18:06:22 2026 7 relations: 345112 Sun Feb 15 18:06:22 2026 8 relations: 327693 Sun Feb 15 18:06:22 2026 9 relations: 304694 Sun Feb 15 18:06:22 2026 10+ relations: 1538882 Sun Feb 15 18:06:22 2026 heaviest cycle: 28 relations Sun Feb 15 18:06:27 2026 RelProcTime: 2868 Sun Feb 15 18:06:27 2026 Sun Feb 15 18:06:27 2026 commencing linear algebra Sun Feb 15 18:06:28 2026 read 3995914 cycles Sun Feb 15 18:06:37 2026 cycles contain 12865959 unique relations Sun Feb 15 18:07:37 2026 read 12865959 relations Sun Feb 15 18:08:01 2026 using 20 quadratic characters above 4294917295 Sun Feb 15 18:08:51 2026 building initial matrix Sun Feb 15 18:11:41 2026 memory use: 1729.2 MB Sun Feb 15 18:11:45 2026 read 3995914 cycles Sun Feb 15 18:11:46 2026 matrix is 3995735 x 3995914 (1972.0 MB) with weight 597216210 (149.46/col) Sun Feb 15 18:11:46 2026 sparse part has weight 472996648 (118.37/col) Sun Feb 15 18:12:29 2026 filtering completed in 2 passes Sun Feb 15 18:12:30 2026 matrix is 3995686 x 3995865 (1972.0 MB) with weight 597213659 (149.46/col) Sun Feb 15 18:12:30 2026 sparse part has weight 472995628 (118.37/col) Sun Feb 15 18:12:43 2026 matrix starts at (0, 0) Sun Feb 15 18:12:44 2026 matrix is 3995686 x 3995865 (1972.0 MB) with weight 597213659 (149.46/col) Sun Feb 15 18:12:44 2026 sparse part has weight 472995628 (118.37/col) Sun Feb 15 18:12:44 2026 saving the first 48 matrix rows for later Sun Feb 15 18:12:45 2026 matrix includes 64 packed rows Sun Feb 15 18:12:46 2026 matrix is 3995638 x 3995865 (1924.4 MB) with weight 514806382 (128.83/col) Sun Feb 15 18:12:46 2026 sparse part has weight 464518841 (116.25/col) Sun Feb 15 18:12:46 2026 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sun Feb 15 18:13:06 2026 commencing Lanczos iteration (10 threads) Sun Feb 15 18:13:06 2026 memory use: 1585.7 MB Sun Feb 15 18:13:18 2026 linear algebra at 0.0%, ETA 8h 4m Sun Feb 15 18:13:22 2026 checkpointing every 490000 dimensions Mon Feb 16 02:48:11 2026 lanczos halted after 63184 iterations (dim = 3995638) Mon Feb 16 02:48:14 2026 recovered 30 nontrivial dependencies Mon Feb 16 02:48:15 2026 BLanczosTime: 31308 Mon Feb 16 02:48:15 2026 Mon Feb 16 02:48:15 2026 commencing square root phase Mon Feb 16 02:48:16 2026 handling dependencies 1 to 64 Mon Feb 16 02:48:16 2026 reading relations for dependency 1 Mon Feb 16 02:48:16 2026 read 1998250 cycles Mon Feb 16 02:48:20 2026 cycles contain 6434434 unique relations Mon Feb 16 02:49:08 2026 read 6434434 relations Mon Feb 16 02:49:39 2026 multiplying 6434434 relations Mon Feb 16 02:54:28 2026 multiply complete, coefficients have about 341.10 million bits Mon Feb 16 02:54:30 2026 initial square root is modulo 1319849 Mon Feb 16 02:59:50 2026 sqrtTime: 694 Mon Feb 16 02:59:50 2026 p56 factor: 24307820735010979426567591254213336378838924249616774327 Mon Feb 16 02:59:50 2026 p105 factor: 409084766467722593206443233962117281243902022050178498926194022207335956182674815515765288943484091945927 Mon Feb 16 02:59:50 2026 elapsed time 09:41:12