Sun Jan 18 22:55:53 2026 Sun Jan 18 22:55:53 2026 Sun Jan 18 22:55:53 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jan 18 22:55:53 2026 random seeds: 5a59ced4 ac9a1149 Sun Jan 18 22:55:53 2026 Using 8 OpenMP threads Sun Jan 18 22:55:53 2026 factoring 137973452411512905225715028872842340700495353531319598807627665505695007859815588606441071501975686862323759227750163340096369032683682223158799562695062860885076425622914178004350490289536143777 (195 digits) Sun Jan 18 22:55:53 2026 searching for 15-digit factors Sun Jan 18 22:55:53 2026 commencing number field sieve (195-digit input) Sun Jan 18 22:55:53 2026 R0: 556140314739669997433102162 Sun Jan 18 22:55:53 2026 R1: -23582627392631 Sun Jan 18 22:55:53 2026 A0: 1 Sun Jan 18 22:55:53 2026 A1: -4 Sun Jan 18 22:55:53 2026 A2: -10 Sun Jan 18 22:55:53 2026 A3: 10 Sun Jan 18 22:55:53 2026 A4: 15 Sun Jan 18 22:55:53 2026 A5: -6 Sun Jan 18 22:55:53 2026 A6: -7 Sun Jan 18 22:55:53 2026 A7: 1 Sun Jan 18 22:55:53 2026 A8: 1 Sun Jan 18 22:55:53 2026 skew 1.27, size 3.014e-06, alpha 3.205, combined = 1.077e-13 rroots = 8 Sun Jan 18 22:55:53 2026 Sun Jan 18 22:55:53 2026 commencing relation filtering Sun Jan 18 22:55:53 2026 estimated available RAM is 78540.1 MB Sun Jan 18 22:55:53 2026 commencing duplicate removal, pass 1 Sun Jan 18 22:56:23 2026 error -1 reading relation 17912474 Sun Jan 18 22:56:26 2026 error -1 reading relation 20278922 Sun Jan 18 22:56:51 2026 error -1 reading relation 39443280 Sun Jan 18 22:57:17 2026 error -1 reading relation 57848363 Sun Jan 18 22:57:25 2026 error -1 reading relation 62702380 Sun Jan 18 22:57:43 2026 error -1 reading relation 74149266 Sun Jan 18 22:59:26 2026 error -1 reading relation 143810967 Sun Jan 18 22:59:27 2026 error -1 reading relation 144586130 Sun Jan 18 22:59:30 2026 error -1 reading relation 146064031 Sun Jan 18 23:00:04 2026 error -1 reading relation 168805108 Sun Jan 18 23:00:42 2026 error -1 reading relation 192843732 Sun Jan 18 23:01:05 2026 error -1 reading relation 207408797 Sun Jan 18 23:01:08 2026 error -1 reading relation 209098932 Sun Jan 18 23:01:18 2026 error -1 reading relation 216527287 Sun Jan 18 23:01:57 2026 error -1 reading relation 242772428 Sun Jan 18 23:02:32 2026 error -1 reading relation 264443347 Sun Jan 18 23:03:07 2026 error -1 reading relation 286290648 Sun Jan 18 23:03:12 2026 error -5 reading relation 290528568 Sun Jan 18 23:03:14 2026 error -1 reading relation 291684438 Sun Jan 18 23:03:48 2026 error -15 reading relation 312500680 Sun Jan 18 23:04:31 2026 error -15 reading relation 339773870 Sun Jan 18 23:04:33 2026 error -1 reading relation 340871536 Sun Jan 18 23:04:47 2026 error -1 reading relation 350533008 Sun Jan 18 23:04:53 2026 error -15 reading relation 353742672 Sun Jan 18 23:04:54 2026 error -1 reading relation 354169352 Sun Jan 18 23:04:54 2026 error -1 reading relation 354199009 Sun Jan 18 23:04:55 2026 error -1 reading relation 354499194 Sun Jan 18 23:05:04 2026 error -1 reading relation 359718620 Sun Jan 18 23:05:20 2026 error -1 reading relation 370683091 Sun Jan 18 23:05:35 2026 error -1 reading relation 379605144 Sun Jan 18 23:05:46 2026 error -1 reading relation 387217245 Sun Jan 18 23:05:46 2026 error -1 reading relation 387354874 Sun Jan 18 23:05:54 2026 error -1 reading relation 392194365 Sun Jan 18 23:06:01 2026 error -1 reading relation 395908980 Sun Jan 18 23:06:12 2026 error -1 reading relation 403490055 Sun Jan 18 23:06:14 2026 skipped 112 relations with b > 2^32 Sun Jan 18 23:06:14 2026 skipped 9 relations with composite factors Sun Jan 18 23:06:14 2026 skipped 410 malformed relations Sun Jan 18 23:06:14 2026 found 89836389 hash collisions in 404495535 relations Sun Jan 18 23:06:18 2026 added 1828991 free relations Sun Jan 18 23:06:18 2026 commencing duplicate removal, pass 2 Sun Jan 18 23:10:19 2026 found 96647412 duplicates and 309677114 unique relations Sun Jan 18 23:10:19 2026 memory use: 2643.0 MB Sun Jan 18 23:10:19 2026 reading ideals above 171769856 Sun Jan 18 23:10:19 2026 commencing singleton removal, initial pass Sun Jan 18 23:22:59 2026 memory use: 6024.0 MB Sun Jan 18 23:22:59 2026 reading all ideals from disk Sun Jan 18 23:23:05 2026 memory use: 7849.4 MB Sun Jan 18 23:23:15 2026 commencing in-memory singleton removal Sun Jan 18 23:23:18 2026 begin with 309677114 relations and 271913503 unique ideals Sun Jan 18 23:23:41 2026 reduce to 170610845 relations and 117663973 ideals in 15 passes Sun Jan 18 23:23:41 2026 max relations containing the same ideal: 31 Sun Jan 18 23:23:45 2026 reading ideals above 720000 Sun Jan 18 23:23:45 2026 commencing singleton removal, initial pass Sun Jan 18 23:37:32 2026 memory use: 3012.0 MB Sun Jan 18 23:37:32 2026 reading all ideals from disk Sun Jan 18 23:37:54 2026 memory use: 8119.4 MB Sun Jan 18 23:38:11 2026 keeping 135967550 ideals with weight <= 200, target excess is 886280 Sun Jan 18 23:38:29 2026 commencing in-memory singleton removal Sun Jan 18 23:38:32 2026 begin with 170610845 relations and 135967550 unique ideals Sun Jan 18 23:38:49 2026 reduce to 170597923 relations and 135954627 ideals in 8 passes Sun Jan 18 23:38:49 2026 max relations containing the same ideal: 200 Sun Jan 18 23:40:08 2026 removing 11213127 relations and 9213127 ideals in 2000000 cliques Sun Jan 18 23:40:13 2026 commencing in-memory singleton removal Sun Jan 18 23:40:14 2026 begin with 159384796 relations and 135954627 unique ideals Sun Jan 18 23:40:36 2026 reduce to 158840820 relations and 126189134 ideals in 8 passes Sun Jan 18 23:40:36 2026 max relations containing the same ideal: 198 Sun Jan 18 23:41:48 2026 removing 8626269 relations and 6626269 ideals in 2000000 cliques Sun Jan 18 23:41:52 2026 commencing in-memory singleton removal Sun Jan 18 23:41:54 2026 begin with 150214551 relations and 126189134 unique ideals Sun Jan 18 23:42:11 2026 reduce to 149844818 relations and 119188359 ideals in 7 passes Sun Jan 18 23:42:11 2026 max relations containing the same ideal: 192 Sun Jan 18 23:43:14 2026 removing 7839988 relations and 5839988 ideals in 2000000 cliques Sun Jan 18 23:43:18 2026 commencing in-memory singleton removal Sun Jan 18 23:43:21 2026 begin with 142004830 relations and 119188359 unique ideals Sun Jan 18 23:43:36 2026 reduce to 141681911 relations and 113021019 ideals in 7 passes Sun Jan 18 23:43:36 2026 max relations containing the same ideal: 185 Sun Jan 18 23:44:36 2026 removing 7431628 relations and 5431628 ideals in 2000000 cliques Sun Jan 18 23:44:40 2026 commencing in-memory singleton removal Sun Jan 18 23:44:42 2026 begin with 134250283 relations and 113021019 unique ideals Sun Jan 18 23:44:54 2026 reduce to 133944541 relations and 107279579 ideals in 7 passes Sun Jan 18 23:44:54 2026 max relations containing the same ideal: 180 Sun Jan 18 23:45:55 2026 removing 7168300 relations and 5168300 ideals in 2000000 cliques Sun Jan 18 23:45:58 2026 commencing in-memory singleton removal Sun Jan 18 23:46:01 2026 begin with 126776241 relations and 107279579 unique ideals Sun Jan 18 23:46:12 2026 reduce to 126478886 relations and 101809754 ideals in 7 passes Sun Jan 18 23:46:12 2026 max relations containing the same ideal: 176 Sun Jan 18 23:47:11 2026 removing 6990735 relations and 4990735 ideals in 2000000 cliques Sun Jan 18 23:47:12 2026 commencing in-memory singleton removal Sun Jan 18 23:47:14 2026 begin with 119488151 relations and 101809754 unique ideals Sun Jan 18 23:47:27 2026 reduce to 119192863 relations and 96519318 ideals in 7 passes Sun Jan 18 23:47:27 2026 max relations containing the same ideal: 168 Sun Jan 18 23:48:23 2026 removing 6866219 relations and 4866219 ideals in 2000000 cliques Sun Jan 18 23:48:28 2026 commencing in-memory singleton removal Sun Jan 18 23:48:32 2026 begin with 112326644 relations and 96519318 unique ideals Sun Jan 18 23:48:42 2026 reduce to 112028724 relations and 91350675 ideals in 7 passes Sun Jan 18 23:48:42 2026 max relations containing the same ideal: 162 Sun Jan 18 23:49:31 2026 removing 6779279 relations and 4779279 ideals in 2000000 cliques Sun Jan 18 23:49:34 2026 commencing in-memory singleton removal Sun Jan 18 23:49:36 2026 begin with 105249445 relations and 91350675 unique ideals Sun Jan 18 23:49:45 2026 reduce to 104942680 relations and 86259552 ideals in 7 passes Sun Jan 18 23:49:45 2026 max relations containing the same ideal: 156 Sun Jan 18 23:50:40 2026 removing 6716956 relations and 4716956 ideals in 2000000 cliques Sun Jan 18 23:50:43 2026 commencing in-memory singleton removal Sun Jan 18 23:50:45 2026 begin with 98225724 relations and 86259552 unique ideals Sun Jan 18 23:50:56 2026 reduce to 97907403 relations and 81218820 ideals in 7 passes Sun Jan 18 23:50:56 2026 max relations containing the same ideal: 150 Sun Jan 18 23:51:39 2026 removing 6683183 relations and 4683183 ideals in 2000000 cliques Sun Jan 18 23:51:42 2026 commencing in-memory singleton removal Sun Jan 18 23:51:44 2026 begin with 91224220 relations and 81218820 unique ideals Sun Jan 18 23:51:53 2026 reduce to 90887258 relations and 76192636 ideals in 7 passes Sun Jan 18 23:51:53 2026 max relations containing the same ideal: 141 Sun Jan 18 23:52:32 2026 removing 6672549 relations and 4672549 ideals in 2000000 cliques Sun Jan 18 23:52:35 2026 commencing in-memory singleton removal Sun Jan 18 23:52:36 2026 begin with 84214709 relations and 76192636 unique ideals Sun Jan 18 23:52:42 2026 reduce to 83855623 relations and 71154044 ideals in 7 passes Sun Jan 18 23:52:42 2026 max relations containing the same ideal: 133 Sun Jan 18 23:53:21 2026 removing 6678041 relations and 4678041 ideals in 2000000 cliques Sun Jan 18 23:53:23 2026 commencing in-memory singleton removal Sun Jan 18 23:53:25 2026 begin with 77177582 relations and 71154044 unique ideals Sun Jan 18 23:53:33 2026 reduce to 76787190 relations and 66077510 ideals in 7 passes Sun Jan 18 23:53:33 2026 max relations containing the same ideal: 123 Sun Jan 18 23:54:08 2026 removing 6710646 relations and 4710646 ideals in 2000000 cliques Sun Jan 18 23:54:08 2026 commencing in-memory singleton removal Sun Jan 18 23:54:09 2026 begin with 70076544 relations and 66077510 unique ideals Sun Jan 18 23:54:15 2026 reduce to 69645206 relations and 60925573 ideals in 7 passes Sun Jan 18 23:54:15 2026 max relations containing the same ideal: 116 Sun Jan 18 23:54:47 2026 removing 6774479 relations and 4774479 ideals in 2000000 cliques Sun Jan 18 23:54:50 2026 commencing in-memory singleton removal Sun Jan 18 23:54:51 2026 begin with 62870727 relations and 60925573 unique ideals Sun Jan 18 23:54:56 2026 reduce to 62378587 relations and 55646618 ideals in 7 passes Sun Jan 18 23:54:56 2026 max relations containing the same ideal: 107 Sun Jan 18 23:55:26 2026 removing 6866531 relations and 4866531 ideals in 2000000 cliques Sun Jan 18 23:55:28 2026 commencing in-memory singleton removal Sun Jan 18 23:55:29 2026 begin with 55512056 relations and 55646618 unique ideals Sun Jan 18 23:55:36 2026 reduce to 54936588 relations and 50188723 ideals in 10 passes Sun Jan 18 23:55:36 2026 max relations containing the same ideal: 98 Sun Jan 18 23:56:02 2026 removing 7009834 relations and 5009834 ideals in 2000000 cliques Sun Jan 18 23:56:04 2026 commencing in-memory singleton removal Sun Jan 18 23:56:05 2026 begin with 47926754 relations and 50188723 unique ideals Sun Jan 18 23:56:08 2026 reduce to 47228775 relations and 44459025 ideals in 9 passes Sun Jan 18 23:56:08 2026 max relations containing the same ideal: 93 Sun Jan 18 23:56:34 2026 removing 6449625 relations and 4707960 ideals in 1741665 cliques Sun Jan 18 23:56:36 2026 commencing in-memory singleton removal Sun Jan 18 23:56:36 2026 begin with 40779150 relations and 44459025 unique ideals Sun Jan 18 23:56:38 2026 reduce to 40069846 relations and 39019113 ideals in 9 passes Sun Jan 18 23:56:38 2026 max relations containing the same ideal: 78 Sun Jan 18 23:56:59 2026 removing 175719 relations and 153071 ideals in 22648 cliques Sun Jan 18 23:57:00 2026 commencing in-memory singleton removal Sun Jan 18 23:57:01 2026 begin with 39894127 relations and 39019113 unique ideals Sun Jan 18 23:57:04 2026 reduce to 39893470 relations and 38865385 ideals in 5 passes Sun Jan 18 23:57:04 2026 max relations containing the same ideal: 78 Sun Jan 18 23:57:06 2026 relations with 0 large ideals: 42613 Sun Jan 18 23:57:06 2026 relations with 1 large ideals: 36507 Sun Jan 18 23:57:06 2026 relations with 2 large ideals: 256352 Sun Jan 18 23:57:06 2026 relations with 3 large ideals: 1469757 Sun Jan 18 23:57:06 2026 relations with 4 large ideals: 4621779 Sun Jan 18 23:57:06 2026 relations with 5 large ideals: 8749176 Sun Jan 18 23:57:06 2026 relations with 6 large ideals: 10440618 Sun Jan 18 23:57:06 2026 relations with 7+ large ideals: 14276668 Sun Jan 18 23:57:06 2026 commencing 2-way merge Sun Jan 18 23:57:35 2026 reduce to 24763569 relation sets and 23735484 unique ideals Sun Jan 18 23:57:35 2026 commencing full merge Mon Jan 19 00:07:11 2026 memory use: 3087.4 MB Mon Jan 19 00:07:15 2026 found 12210566 cycles, need 12081684 Mon Jan 19 00:07:20 2026 weight of 12081684 cycles is about 1087823647 (90.04/cycle) Mon Jan 19 00:07:20 2026 distribution of cycle lengths: Mon Jan 19 00:07:20 2026 1 relations: 1207606 Mon Jan 19 00:07:20 2026 2 relations: 1084785 Mon Jan 19 00:07:20 2026 3 relations: 1093976 Mon Jan 19 00:07:20 2026 4 relations: 1079526 Mon Jan 19 00:07:20 2026 5 relations: 1071305 Mon Jan 19 00:07:20 2026 6 relations: 1031097 Mon Jan 19 00:07:20 2026 7 relations: 960959 Mon Jan 19 00:07:20 2026 8 relations: 862082 Mon Jan 19 00:07:20 2026 9 relations: 757567 Mon Jan 19 00:07:20 2026 10+ relations: 2932781 Mon Jan 19 00:07:20 2026 heaviest cycle: 24 relations Mon Jan 19 00:07:25 2026 commencing cycle optimization Mon Jan 19 00:07:56 2026 start with 80704629 relations Mon Jan 19 00:10:50 2026 pruned 2456800 relations Mon Jan 19 00:10:51 2026 memory use: 2460.5 MB Mon Jan 19 00:10:51 2026 distribution of cycle lengths: Mon Jan 19 00:10:51 2026 1 relations: 1207606 Mon Jan 19 00:10:51 2026 2 relations: 1104761 Mon Jan 19 00:10:51 2026 3 relations: 1129309 Mon Jan 19 00:10:51 2026 4 relations: 1111839 Mon Jan 19 00:10:51 2026 5 relations: 1110607 Mon Jan 19 00:10:51 2026 6 relations: 1063855 Mon Jan 19 00:10:51 2026 7 relations: 992944 Mon Jan 19 00:10:51 2026 8 relations: 883224 Mon Jan 19 00:10:51 2026 9 relations: 770244 Mon Jan 19 00:10:51 2026 10+ relations: 2707295 Mon Jan 19 00:10:51 2026 heaviest cycle: 24 relations Mon Jan 19 00:11:18 2026 RelProcTime: 4525 Mon Jan 19 00:11:18 2026 Mon Jan 19 00:11:18 2026 commencing linear algebra Mon Jan 19 00:11:18 2026 using VBITS=256 Mon Jan 19 00:11:18 2026 read 12081684 cycles Mon Jan 19 00:11:35 2026 cycles contain 39240922 unique relations Mon Jan 19 00:17:21 2026 read 39240922 relations Mon Jan 19 00:17:31 2026 using 20 quadratic characters above 4294917295 Mon Jan 19 00:17:46 2026 building initial matrix Mon Jan 19 00:27:20 2026 memory use: 4792.6 MB Mon Jan 19 00:27:28 2026 read 12081684 cycles Mon Jan 19 00:27:30 2026 matrix is 12081504 x 12081684 (4422.1 MB) with weight 1248620301 (103.35/col) Mon Jan 19 00:27:30 2026 sparse part has weight 1038399253 (85.95/col) Mon Jan 19 00:29:23 2026 filtering completed in 2 passes Mon Jan 19 00:29:26 2026 matrix is 12078666 x 12078835 (4421.8 MB) with weight 1248532892 (103.37/col) Mon Jan 19 00:29:26 2026 sparse part has weight 1038360823 (85.97/col) Mon Jan 19 00:29:53 2026 matrix starts at (0, 0) Mon Jan 19 00:29:54 2026 matrix is 12078666 x 12078835 (4421.8 MB) with weight 1248532892 (103.37/col) Mon Jan 19 00:29:54 2026 sparse part has weight 1038360823 (85.97/col) Mon Jan 19 00:29:54 2026 saving the first 240 matrix rows for later Mon Jan 19 00:29:56 2026 matrix includes 256 packed rows Mon Jan 19 00:30:00 2026 matrix is 12078426 x 12078835 (4142.1 MB) with weight 937907812 (77.65/col) Mon Jan 19 00:30:00 2026 sparse part has weight 892555892 (73.89/col) Mon Jan 19 00:30:00 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Mon Jan 19 00:30:00 2026 selected card has CUDA arch 12.0 Mon Jan 19 00:32:37 2026 commencing Lanczos iteration Mon Jan 19 00:32:40 2026 memory use: 9850.8 MB Mon Jan 19 00:33:12 2026 linear algebra at 0.3%, ETA 3h23m Mon Jan 19 00:33:59 2026 checking every 50000 dimensions, checkpointing every 3550000 dimensions Mon Jan 19 03:55:20 2026 lanczos halted after 47325 iterations (dim = 12078426) Mon Jan 19 03:56:01 2026 recovered 36 nontrivial dependencies Mon Jan 19 03:56:02 2026 BLanczosTime: 13484 Mon Jan 19 03:56:02 2026 Mon Jan 19 03:56:02 2026 commencing square root phase Mon Jan 19 03:56:02 2026 reading relations for dependency 1 Mon Jan 19 03:56:13 2026 read 6038503 cycles Mon Jan 19 03:56:25 2026 cycles contain 19618858 unique relations Mon Jan 19 04:02:44 2026 read 19618858 relations Mon Jan 19 04:04:38 2026 multiplying 19618858 relations Mon Jan 19 04:06:58 2026 multiply complete, coefficients have about 491.53 million bits Mon Jan 19 04:07:00 2026 initial square root is modulo 660114941 Mon Jan 19 04:11:02 2026 GCD is 1, no factor found Mon Jan 19 04:11:02 2026 reading relations for dependency 2 Mon Jan 19 04:11:06 2026 read 6041493 cycles Mon Jan 19 04:11:15 2026 cycles contain 19627684 unique relations Mon Jan 19 04:14:58 2026 read 19627684 relations Mon Jan 19 04:16:55 2026 multiplying 19627684 relations Mon Jan 19 04:19:20 2026 multiply complete, coefficients have about 491.73 million bits Mon Jan 19 04:19:23 2026 initial square root is modulo 665551357 Mon Jan 19 04:23:30 2026 Newton iteration failed to converge Mon Jan 19 04:23:30 2026 algebraic square root failed Mon Jan 19 04:23:30 2026 reading relations for dependency 3 Mon Jan 19 04:23:30 2026 read 6039670 cycles Mon Jan 19 04:23:42 2026 cycles contain 19616014 unique relations Mon Jan 19 04:25:14 2026 read 19616014 relations Mon Jan 19 04:26:42 2026 multiplying 19616014 relations Mon Jan 19 04:28:59 2026 multiply complete, coefficients have about 491.45 million bits Mon Jan 19 04:29:01 2026 initial square root is modulo 657955141 Mon Jan 19 04:33:13 2026 sqrtTime: 2231 Mon Jan 19 04:33:13 2026 p72 factor: 362339011663919180978396794595858805212619339664261415437584818772414389 Mon Jan 19 04:33:13 2026 p123 factor: 380785529490508236657828822979622707935296618099762134316845622852748693436914439882462672858315045849132759610751947650493 Mon Jan 19 04:33:13 2026 elapsed time 05:37:20