Wed Nov 13 09:15:42 2024 Wed Nov 13 09:15:42 2024 Wed Nov 13 09:15:42 2024 Msieve v. 1.54 (SVN unknown) Wed Nov 13 09:15:42 2024 random seeds: d6157dc6 fe18f264 Wed Nov 13 09:15:42 2024 factoring 373690846475341978521997969597710819971107664942982714710696422414709984608436036860270388821663449887833871119558559412419334117471043051075297046673000297384291242728538975931611914124198666316988361199182257 (210 digits) Wed Nov 13 09:15:43 2024 no P-1/P+1/ECM available, skipping Wed Nov 13 09:15:43 2024 commencing number field sieve (210-digit input) Wed Nov 13 09:15:43 2024 R0: 3306152178476546253171046689009562489 Wed Nov 13 09:15:43 2024 R1: -1 Wed Nov 13 09:15:43 2024 A0: -1 Wed Nov 13 09:15:43 2024 A1: 0 Wed Nov 13 09:15:43 2024 A2: 0 Wed Nov 13 09:15:43 2024 A3: 0 Wed Nov 13 09:15:43 2024 A4: 0 Wed Nov 13 09:15:43 2024 A5: 0 Wed Nov 13 09:15:43 2024 A6: 2089 Wed Nov 13 09:15:43 2024 skew 0.36, size 4.064e-11, alpha 0.374, combined = 1.773e-12 rroots = 2 Wed Nov 13 09:15:43 2024 Wed Nov 13 09:15:43 2024 commencing relation filtering Wed Nov 13 09:15:43 2024 setting target matrix density to 120.0 Wed Nov 13 09:15:43 2024 estimated available RAM is 15954.4 MB Wed Nov 13 09:15:43 2024 commencing duplicate removal, pass 1 Wed Nov 13 09:33:48 2024 skipped 45 relations with b > 2^32 Wed Nov 13 09:33:48 2024 found 5188528 hash collisions in 109102929 relations Wed Nov 13 09:34:09 2024 added 1218781 free relations Wed Nov 13 09:34:09 2024 commencing duplicate removal, pass 2 Wed Nov 13 09:34:49 2024 found 0 duplicates and 110321710 unique relations Wed Nov 13 09:34:49 2024 memory use: 378.4 MB Wed Nov 13 09:34:49 2024 reading ideals above 64028672 Wed Nov 13 09:34:49 2024 commencing singleton removal, initial pass Wed Nov 13 09:48:54 2024 memory use: 2756.0 MB Wed Nov 13 09:48:54 2024 reading all ideals from disk Wed Nov 13 09:48:58 2024 memory use: 1908.2 MB Wed Nov 13 09:49:04 2024 commencing in-memory singleton removal Wed Nov 13 09:49:10 2024 begin with 110321710 relations and 84715889 unique ideals Wed Nov 13 09:50:05 2024 reduce to 78725370 relations and 50415547 ideals in 11 passes Wed Nov 13 09:50:05 2024 max relations containing the same ideal: 34 Wed Nov 13 09:50:11 2024 reading ideals above 720000 Wed Nov 13 09:50:11 2024 commencing singleton removal, initial pass Wed Nov 13 10:03:00 2024 memory use: 1506.0 MB Wed Nov 13 10:03:00 2024 reading all ideals from disk Wed Nov 13 10:03:09 2024 memory use: 2910.3 MB Wed Nov 13 10:03:18 2024 keeping 57585890 ideals with weight <= 200, target excess is 402652 Wed Nov 13 10:03:28 2024 commencing in-memory singleton removal Wed Nov 13 10:03:35 2024 begin with 78725370 relations and 57585890 unique ideals Wed Nov 13 10:04:01 2024 reduce to 78725349 relations and 57585869 ideals in 4 passes Wed Nov 13 10:04:01 2024 max relations containing the same ideal: 200 Wed Nov 13 10:04:43 2024 removing 7793801 relations and 5793801 ideals in 2000000 cliques Wed Nov 13 10:04:47 2024 commencing in-memory singleton removal Wed Nov 13 10:04:55 2024 begin with 70931548 relations and 57585869 unique ideals Wed Nov 13 10:05:43 2024 reduce to 70307986 relations and 51149073 ideals in 8 passes Wed Nov 13 10:05:43 2024 max relations containing the same ideal: 194 Wed Nov 13 10:06:18 2024 removing 6280063 relations and 4280063 ideals in 2000000 cliques Wed Nov 13 10:06:22 2024 commencing in-memory singleton removal Wed Nov 13 10:06:28 2024 begin with 64027923 relations and 51149073 unique ideals Wed Nov 13 10:07:01 2024 reduce to 63600115 relations and 46428993 ideals in 6 passes Wed Nov 13 10:07:01 2024 max relations containing the same ideal: 184 Wed Nov 13 10:07:33 2024 removing 5854588 relations and 3854588 ideals in 2000000 cliques Wed Nov 13 10:07:37 2024 commencing in-memory singleton removal Wed Nov 13 10:07:42 2024 begin with 57745527 relations and 46428993 unique ideals Wed Nov 13 10:08:16 2024 reduce to 57366379 relations and 42184110 ideals in 7 passes Wed Nov 13 10:08:16 2024 max relations containing the same ideal: 171 Wed Nov 13 10:08:45 2024 removing 5635192 relations and 3635192 ideals in 2000000 cliques Wed Nov 13 10:08:49 2024 commencing in-memory singleton removal Wed Nov 13 10:08:53 2024 begin with 51731187 relations and 42184110 unique ideals Wed Nov 13 10:09:18 2024 reduce to 51369149 relations and 38175586 ideals in 6 passes Wed Nov 13 10:09:18 2024 max relations containing the same ideal: 163 Wed Nov 13 10:09:45 2024 removing 5498230 relations and 3498230 ideals in 2000000 cliques Wed Nov 13 10:09:49 2024 commencing in-memory singleton removal Wed Nov 13 10:09:53 2024 begin with 45870919 relations and 38175586 unique ideals Wed Nov 13 10:10:19 2024 reduce to 45506127 relations and 34300129 ideals in 7 passes Wed Nov 13 10:10:19 2024 max relations containing the same ideal: 146 Wed Nov 13 10:10:43 2024 removing 5409324 relations and 3409324 ideals in 2000000 cliques Wed Nov 13 10:10:46 2024 commencing in-memory singleton removal Wed Nov 13 10:10:50 2024 begin with 40096803 relations and 34300129 unique ideals Wed Nov 13 10:11:14 2024 reduce to 39717107 relations and 30496955 ideals in 7 passes Wed Nov 13 10:11:14 2024 max relations containing the same ideal: 135 Wed Nov 13 10:11:36 2024 removing 5347708 relations and 3347708 ideals in 2000000 cliques Wed Nov 13 10:11:39 2024 commencing in-memory singleton removal Wed Nov 13 10:11:42 2024 begin with 34369399 relations and 30496955 unique ideals Wed Nov 13 10:12:00 2024 reduce to 33962951 relations and 26725621 ideals in 6 passes Wed Nov 13 10:12:00 2024 max relations containing the same ideal: 122 Wed Nov 13 10:12:18 2024 removing 5304817 relations and 3304817 ideals in 2000000 cliques Wed Nov 13 10:12:21 2024 commencing in-memory singleton removal Wed Nov 13 10:12:24 2024 begin with 28658134 relations and 26725621 unique ideals Wed Nov 13 10:12:42 2024 reduce to 28205343 relations and 22946143 ideals in 7 passes Wed Nov 13 10:12:42 2024 max relations containing the same ideal: 107 Wed Nov 13 10:12:57 2024 removing 5271842 relations and 3271842 ideals in 2000000 cliques Wed Nov 13 10:13:00 2024 commencing in-memory singleton removal Wed Nov 13 10:13:02 2024 begin with 22933501 relations and 22946143 unique ideals Wed Nov 13 10:13:15 2024 reduce to 22413577 relations and 19124309 ideals in 7 passes Wed Nov 13 10:13:15 2024 max relations containing the same ideal: 89 Wed Nov 13 10:13:28 2024 removing 5238781 relations and 3238781 ideals in 2000000 cliques Wed Nov 13 10:13:30 2024 commencing in-memory singleton removal Wed Nov 13 10:13:32 2024 begin with 17174796 relations and 19124309 unique ideals Wed Nov 13 10:13:43 2024 reduce to 16540219 relations and 15204714 ideals in 8 passes Wed Nov 13 10:13:43 2024 max relations containing the same ideal: 75 Wed Nov 13 10:13:52 2024 removing 2579085 relations and 1710657 ideals in 868428 cliques Wed Nov 13 10:13:54 2024 commencing in-memory singleton removal Wed Nov 13 10:13:55 2024 begin with 13961134 relations and 15204714 unique ideals Wed Nov 13 10:14:03 2024 reduce to 13661318 relations and 13179604 ideals in 7 passes Wed Nov 13 10:14:03 2024 max relations containing the same ideal: 68 Wed Nov 13 10:14:11 2024 removing 83145 relations and 68508 ideals in 14637 cliques Wed Nov 13 10:14:13 2024 commencing in-memory singleton removal Wed Nov 13 10:14:14 2024 begin with 13578173 relations and 13179604 unique ideals Wed Nov 13 10:14:19 2024 reduce to 13577763 relations and 13110685 ideals in 5 passes Wed Nov 13 10:14:19 2024 max relations containing the same ideal: 68 Wed Nov 13 10:14:22 2024 relations with 0 large ideals: 14878 Wed Nov 13 10:14:22 2024 relations with 1 large ideals: 7896 Wed Nov 13 10:14:22 2024 relations with 2 large ideals: 89249 Wed Nov 13 10:14:22 2024 relations with 3 large ideals: 539924 Wed Nov 13 10:14:22 2024 relations with 4 large ideals: 1710529 Wed Nov 13 10:14:22 2024 relations with 5 large ideals: 3172878 Wed Nov 13 10:14:22 2024 relations with 6 large ideals: 3634501 Wed Nov 13 10:14:22 2024 relations with 7+ large ideals: 4407908 Wed Nov 13 10:14:22 2024 commencing 2-way merge Wed Nov 13 10:14:32 2024 reduce to 9332592 relation sets and 8865514 unique ideals Wed Nov 13 10:14:32 2024 commencing full merge Wed Nov 13 10:18:21 2024 memory use: 1195.9 MB Wed Nov 13 10:18:23 2024 found 4205781 cycles, need 4183714 Wed Nov 13 10:18:25 2024 weight of 4183714 cycles is about 502313005 (120.06/cycle) Wed Nov 13 10:18:25 2024 distribution of cycle lengths: Wed Nov 13 10:18:25 2024 1 relations: 101421 Wed Nov 13 10:18:25 2024 2 relations: 200334 Wed Nov 13 10:18:25 2024 3 relations: 265457 Wed Nov 13 10:18:25 2024 4 relations: 296541 Wed Nov 13 10:18:25 2024 5 relations: 320646 Wed Nov 13 10:18:25 2024 6 relations: 326846 Wed Nov 13 10:18:25 2024 7 relations: 323521 Wed Nov 13 10:18:25 2024 8 relations: 311300 Wed Nov 13 10:18:25 2024 9 relations: 291064 Wed Nov 13 10:18:25 2024 10+ relations: 1746584 Wed Nov 13 10:18:25 2024 heaviest cycle: 28 relations Wed Nov 13 10:18:27 2024 commencing cycle optimization Wed Nov 13 10:18:40 2024 start with 38544160 relations Wed Nov 13 10:20:42 2024 pruned 2104978 relations Wed Nov 13 10:20:42 2024 memory use: 962.7 MB Wed Nov 13 10:20:42 2024 distribution of cycle lengths: Wed Nov 13 10:20:42 2024 1 relations: 101421 Wed Nov 13 10:20:42 2024 2 relations: 205883 Wed Nov 13 10:20:42 2024 3 relations: 278090 Wed Nov 13 10:20:42 2024 4 relations: 311425 Wed Nov 13 10:20:42 2024 5 relations: 340493 Wed Nov 13 10:20:42 2024 6 relations: 347511 Wed Nov 13 10:20:42 2024 7 relations: 345782 Wed Nov 13 10:20:42 2024 8 relations: 330551 Wed Nov 13 10:20:42 2024 9 relations: 308518 Wed Nov 13 10:20:42 2024 10+ relations: 1614040 Wed Nov 13 10:20:42 2024 heaviest cycle: 28 relations Wed Nov 13 10:20:56 2024 RelProcTime: 3913 Wed Nov 13 10:20:56 2024 Wed Nov 13 10:20:56 2024 commencing linear algebra Wed Nov 13 10:20:56 2024 using VBITS=512 Wed Nov 13 10:20:57 2024 read 4183714 cycles Wed Nov 13 10:21:10 2024 cycles contain 13366580 unique relations Wed Nov 13 10:22:54 2024 read 13366580 relations Wed Nov 13 10:23:18 2024 using 20 quadratic characters above 4294917295 Wed Nov 13 10:24:42 2024 building initial matrix Wed Nov 13 10:28:28 2024 memory use: 1683.2 MB Wed Nov 13 10:28:31 2024 read 4183714 cycles Wed Nov 13 10:28:32 2024 matrix is 4183537 x 4183714 (1926.7 MB) with weight 556728041 (133.07/col) Wed Nov 13 10:28:32 2024 sparse part has weight 463229354 (110.72/col) Wed Nov 13 10:29:39 2024 filtering completed in 2 passes Wed Nov 13 10:29:40 2024 matrix is 4183462 x 4183623 (1926.7 MB) with weight 556724862 (133.07/col) Wed Nov 13 10:29:40 2024 sparse part has weight 463228073 (110.72/col) Wed Nov 13 10:29:55 2024 matrix starts at (0, 0) Wed Nov 13 10:29:56 2024 matrix is 4183462 x 4183623 (1926.7 MB) with weight 556724862 (133.07/col) Wed Nov 13 10:29:56 2024 sparse part has weight 463228073 (110.72/col) Wed Nov 13 10:29:56 2024 saving the first 496 matrix rows for later Wed Nov 13 10:29:57 2024 matrix includes 512 packed rows Wed Nov 13 10:30:02 2024 matrix is 4182966 x 4183623 (1811.7 MB) with weight 398333280 (95.21/col) Wed Nov 13 10:30:02 2024 sparse part has weight 374530865 (89.52/col) Wed Nov 13 10:30:02 2024 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Nov 13 10:30:02 2024 selected card has CUDA arch 8.6 Wed Nov 13 10:30:43 2024 commencing Lanczos iteration Wed Nov 13 10:30:43 2024 memory use: 4964.1 MB Wed Nov 13 10:30:59 2024 linear algebra at 0.4%, ETA 1h 7m Wed Nov 13 10:30:59 2024 checkpointing every 3810000 dimensions Wed Nov 13 11:44:30 2024 lanczos halted after 8183 iterations (dim = 4182964) Wed Nov 13 11:45:36 2024 recovered 31 nontrivial dependencies Wed Nov 13 11:45:36 2024 BLanczosTime: 5080 Wed Nov 13 11:45:36 2024 Wed Nov 13 11:45:36 2024 commencing square root phase Wed Nov 13 11:45:36 2024 handling dependencies 1 to 64 Wed Nov 13 11:45:36 2024 reading relations for dependency 1 Wed Nov 13 11:45:37 2024 read 2091496 cycles Wed Nov 13 11:45:41 2024 cycles contain 6683478 unique relations Wed Nov 13 11:46:51 2024 read 6683478 relations Wed Nov 13 11:47:42 2024 multiplying 6683478 relations Wed Nov 13 11:54:36 2024 multiply complete, coefficients have about 229.58 million bits Wed Nov 13 11:54:37 2024 initial square root is modulo 173412541 Wed Nov 13 12:03:03 2024 sqrtTime: 1047 Wed Nov 13 12:03:03 2024 p50 factor: 65010781843356555671492489838480248451682545738023 Wed Nov 13 12:03:03 2024 p160 factor: 5748136476434783920320684132283880010555168946134516163100221195079068562153914619452083408496573217853687880941183911066475462072677822200418142682931021184359 Wed Nov 13 12:03:03 2024 elapsed time 02:47:21