Tue Dec 9 23:44:46 2025 Tue Dec 9 23:44:46 2025 Tue Dec 9 23:44:46 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Dec 9 23:44:46 2025 random seeds: 4783537f bd1ce603 Tue Dec 9 23:44:46 2025 MPI process 0 of 1 Tue Dec 9 23:44:46 2025 Using 32 OpenMP threads Tue Dec 9 23:44:46 2025 factoring 927521217456244434287848715347786523109246593819843839570931656932422357441037417186183251557310111118864071054386892335422484623769434693408748518308201765245258903 (165 digits) Tue Dec 9 23:44:47 2025 searching for 15-digit factors Tue Dec 9 23:44:47 2025 commencing number field sieve (165-digit input) Tue Dec 9 23:44:47 2025 R0: -74379312427165860641752150449932 Tue Dec 9 23:44:47 2025 R1: 3574572383804657095102177 Tue Dec 9 23:44:47 2025 A0: -41096122268381343578292577681342366950 Tue Dec 9 23:44:47 2025 A1: 231717521703923003108975012218895 Tue Dec 9 23:44:47 2025 A2: -65948853044628209801282042 Tue Dec 9 23:44:47 2025 A3: -54342557951325548745 Tue Dec 9 23:44:47 2025 A4: 817440970710 Tue Dec 9 23:44:47 2025 A5: 907200 Tue Dec 9 23:44:47 2025 skew 3788092.41, size 5.387e-16, alpha -6.561, combined = 8.060e-13 rroots = 5 Tue Dec 9 23:44:47 2025 Tue Dec 9 23:44:47 2025 commencing relation filtering Tue Dec 9 23:44:47 2025 setting target matrix density to 120.0 Tue Dec 9 23:44:47 2025 estimated available RAM is 257736.5 MB Tue Dec 9 23:44:47 2025 commencing duplicate removal, pass 1 Tue Dec 9 23:55:38 2025 skipped 172 malformed relations Tue Dec 9 23:55:38 2025 found 46251382 hash collisions in 268341853 relations Tue Dec 9 23:56:12 2025 commencing duplicate removal, pass 2 Wed Dec 10 00:03:53 2025 found 47080107 duplicates and 221261746 unique relations Wed Dec 10 00:03:53 2025 memory use: 1577.5 MB Wed Dec 10 00:03:54 2025 reading ideals above 720000 Wed Dec 10 00:03:54 2025 commencing singleton removal, initial pass Wed Dec 10 00:26:38 2025 memory use: 6024.0 MB Wed Dec 10 00:26:39 2025 reading all ideals from disk Wed Dec 10 00:26:45 2025 memory use: 10107.7 MB Wed Dec 10 00:27:31 2025 keeping 220443857 ideals with weight <= 200, target excess is 1088970 Wed Dec 10 00:28:26 2025 commencing in-memory singleton removal Wed Dec 10 00:28:31 2025 begin with 221261746 relations and 220443857 unique ideals Wed Dec 10 00:28:56 2025 reduce to 109916580 relations and 93848427 ideals in 20 passes Wed Dec 10 00:28:56 2025 max relations containing the same ideal: 135 Wed Dec 10 00:30:05 2025 removing 12799686 relations and 10799686 ideals in 2000000 cliques Wed Dec 10 00:30:12 2025 commencing in-memory singleton removal Wed Dec 10 00:30:14 2025 begin with 97116894 relations and 93848427 unique ideals Wed Dec 10 00:30:23 2025 reduce to 95934128 relations and 81837950 ideals in 10 passes Wed Dec 10 00:30:23 2025 max relations containing the same ideal: 126 Wed Dec 10 00:31:23 2025 removing 9746904 relations and 7746904 ideals in 2000000 cliques Wed Dec 10 00:31:29 2025 commencing in-memory singleton removal Wed Dec 10 00:31:31 2025 begin with 86187224 relations and 81837950 unique ideals Wed Dec 10 00:31:38 2025 reduce to 85368890 relations and 73255320 ideals in 9 passes Wed Dec 10 00:31:38 2025 max relations containing the same ideal: 115 Wed Dec 10 00:32:41 2025 removing 8842490 relations and 6842490 ideals in 2000000 cliques Wed Dec 10 00:32:49 2025 commencing in-memory singleton removal Wed Dec 10 00:32:51 2025 begin with 76526400 relations and 73255320 unique ideals Wed Dec 10 00:32:57 2025 reduce to 75763034 relations and 65632283 ideals in 10 passes Wed Dec 10 00:32:57 2025 max relations containing the same ideal: 108 Wed Dec 10 00:33:47 2025 removing 8411065 relations and 6411065 ideals in 2000000 cliques Wed Dec 10 00:33:52 2025 commencing in-memory singleton removal Wed Dec 10 00:33:54 2025 begin with 67351969 relations and 65632283 unique ideals Wed Dec 10 00:33:59 2025 reduce to 66577276 relations and 58427523 ideals in 9 passes Wed Dec 10 00:33:59 2025 max relations containing the same ideal: 96 Wed Dec 10 00:34:39 2025 removing 8187870 relations and 6187870 ideals in 2000000 cliques Wed Dec 10 00:34:43 2025 commencing in-memory singleton removal Wed Dec 10 00:34:45 2025 begin with 58389406 relations and 58427523 unique ideals Wed Dec 10 00:34:49 2025 reduce to 57551654 relations and 51379202 ideals in 9 passes Wed Dec 10 00:34:49 2025 max relations containing the same ideal: 84 Wed Dec 10 00:35:27 2025 removing 8095592 relations and 6095592 ideals in 2000000 cliques Wed Dec 10 00:35:31 2025 commencing in-memory singleton removal Wed Dec 10 00:35:32 2025 begin with 49456062 relations and 51379202 unique ideals Wed Dec 10 00:35:36 2025 reduce to 48502842 relations and 44300571 ideals in 10 passes Wed Dec 10 00:35:36 2025 max relations containing the same ideal: 75 Wed Dec 10 00:36:06 2025 removing 8096805 relations and 6096805 ideals in 2000000 cliques Wed Dec 10 00:36:10 2025 commencing in-memory singleton removal Wed Dec 10 00:36:11 2025 begin with 40406037 relations and 44300571 unique ideals Wed Dec 10 00:36:14 2025 reduce to 39244018 relations and 36999041 ideals in 11 passes Wed Dec 10 00:36:14 2025 max relations containing the same ideal: 65 Wed Dec 10 00:36:40 2025 removing 4815604 relations and 3833833 ideals in 981771 cliques Wed Dec 10 00:36:43 2025 commencing in-memory singleton removal Wed Dec 10 00:36:44 2025 begin with 34428414 relations and 36999041 unique ideals Wed Dec 10 00:36:46 2025 reduce to 33949419 relations and 32675454 ideals in 9 passes Wed Dec 10 00:36:46 2025 max relations containing the same ideal: 60 Wed Dec 10 00:37:10 2025 removing 109531 relations and 98772 ideals in 10759 cliques Wed Dec 10 00:37:12 2025 commencing in-memory singleton removal Wed Dec 10 00:37:12 2025 begin with 33839888 relations and 32675454 unique ideals Wed Dec 10 00:37:13 2025 reduce to 33839702 relations and 32576496 ideals in 4 passes Wed Dec 10 00:37:13 2025 max relations containing the same ideal: 60 Wed Dec 10 00:37:19 2025 relations with 0 large ideals: 3931 Wed Dec 10 00:37:19 2025 relations with 1 large ideals: 36930 Wed Dec 10 00:37:19 2025 relations with 2 large ideals: 456561 Wed Dec 10 00:37:19 2025 relations with 3 large ideals: 2331584 Wed Dec 10 00:37:19 2025 relations with 4 large ideals: 6231893 Wed Dec 10 00:37:19 2025 relations with 5 large ideals: 9571271 Wed Dec 10 00:37:19 2025 relations with 6 large ideals: 8758251 Wed Dec 10 00:37:19 2025 relations with 7+ large ideals: 6449281 Wed Dec 10 00:37:19 2025 commencing 2-way merge Wed Dec 10 00:37:50 2025 reduce to 19829105 relation sets and 18565898 unique ideals Wed Dec 10 00:37:50 2025 commencing full merge Wed Dec 10 00:46:27 2025 memory use: 2172.6 MB Wed Dec 10 00:46:30 2025 found 8521509 cycles, need 8472098 Wed Dec 10 00:46:33 2025 weight of 8472098 cycles is about 1017223684 (120.07/cycle) Wed Dec 10 00:46:33 2025 distribution of cycle lengths: Wed Dec 10 00:46:33 2025 1 relations: 654358 Wed Dec 10 00:46:33 2025 2 relations: 585496 Wed Dec 10 00:46:33 2025 3 relations: 581910 Wed Dec 10 00:46:33 2025 4 relations: 561957 Wed Dec 10 00:46:33 2025 5 relations: 563001 Wed Dec 10 00:46:33 2025 6 relations: 541773 Wed Dec 10 00:46:33 2025 7 relations: 532285 Wed Dec 10 00:46:33 2025 8 relations: 505323 Wed Dec 10 00:46:33 2025 9 relations: 484416 Wed Dec 10 00:46:33 2025 10+ relations: 3461579 Wed Dec 10 00:46:33 2025 heaviest cycle: 28 relations Wed Dec 10 00:46:36 2025 commencing cycle optimization Wed Dec 10 00:47:02 2025 start with 75726737 relations Wed Dec 10 00:50:38 2025 pruned 2852841 relations Wed Dec 10 00:50:38 2025 memory use: 2131.9 MB Wed Dec 10 00:50:38 2025 distribution of cycle lengths: Wed Dec 10 00:50:38 2025 1 relations: 654358 Wed Dec 10 00:50:38 2025 2 relations: 599781 Wed Dec 10 00:50:38 2025 3 relations: 602953 Wed Dec 10 00:50:38 2025 4 relations: 580993 Wed Dec 10 00:50:38 2025 5 relations: 585368 Wed Dec 10 00:50:38 2025 6 relations: 562296 Wed Dec 10 00:50:38 2025 7 relations: 553246 Wed Dec 10 00:50:38 2025 8 relations: 524384 Wed Dec 10 00:50:38 2025 9 relations: 501892 Wed Dec 10 00:50:38 2025 10+ relations: 3306827 Wed Dec 10 00:50:38 2025 heaviest cycle: 28 relations Wed Dec 10 00:50:56 2025 RelProcTime: 3969 Wed Dec 10 00:50:56 2025 Wed Dec 10 00:50:56 2025 commencing linear algebra Wed Dec 10 00:50:56 2025 using VBITS=256 Wed Dec 10 00:50:56 2025 stopping after matrix build Wed Dec 10 00:50:56 2025 initialized process (0,0) of 1 x 1 grid Wed Dec 10 00:50:58 2025 read 8472098 cycles Wed Dec 10 00:51:23 2025 cycles contain 32880397 unique relations Wed Dec 10 00:57:06 2025 read 32880397 relations Wed Dec 10 00:57:10 2025 using 20 quadratic characters above 4294917295 Wed Dec 10 00:57:16 2025 building initial matrix Wed Dec 10 01:06:24 2025 memory use: 4330.1 MB Wed Dec 10 01:06:34 2025 read 8472098 cycles Wed Dec 10 01:06:36 2025 matrix is 8471920 x 8472098 (4032.6 MB) with weight 1215918851 (143.52/col) Wed Dec 10 01:06:36 2025 sparse part has weight 955461410 (112.78/col) Wed Dec 10 01:09:41 2025 filtering completed in 2 passes Wed Dec 10 01:09:44 2025 matrix is 8470922 x 8471099 (4032.5 MB) with weight 1215866748 (143.53/col) Wed Dec 10 01:09:44 2025 sparse part has weight 955442843 (112.79/col) Wed Dec 10 01:10:52 2025 BLanczosTime: 1196 Wed Dec 10 01:10:52 2025 elapsed time 01:26:06 Wed Dec 10 01:20:06 2025 Wed Dec 10 01:20:06 2025 Wed Dec 10 01:20:06 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 10 01:20:06 2025 random seeds: 2566a82f 43d4abc5 Wed Dec 10 01:20:06 2025 MPI process 0 of 1 Wed Dec 10 01:20:06 2025 Using 64 OpenMP threads Wed Dec 10 01:20:06 2025 factoring 927521217456244434287848715347786523109246593819843839570931656932422357441037417186183251557310111118864071054386892335422484623769434693408748518308201765245258903 (165 digits) Wed Dec 10 01:20:07 2025 searching for 15-digit factors Wed Dec 10 01:20:07 2025 commencing number field sieve (165-digit input) Wed Dec 10 01:20:07 2025 R0: -74379312427165860641752150449932 Wed Dec 10 01:20:07 2025 R1: 3574572383804657095102177 Wed Dec 10 01:20:07 2025 A0: -41096122268381343578292577681342366950 Wed Dec 10 01:20:07 2025 A1: 231717521703923003108975012218895 Wed Dec 10 01:20:07 2025 A2: -65948853044628209801282042 Wed Dec 10 01:20:07 2025 A3: -54342557951325548745 Wed Dec 10 01:20:07 2025 A4: 817440970710 Wed Dec 10 01:20:07 2025 A5: 907200 Wed Dec 10 01:20:07 2025 skew 3788092.41, size 5.387e-16, alpha -6.561, combined = 8.060e-13 rroots = 5 Wed Dec 10 01:20:07 2025 Wed Dec 10 01:20:07 2025 commencing linear algebra Wed Dec 10 01:20:07 2025 using VBITS=256 Wed Dec 10 01:20:07 2025 skipping matrix build Wed Dec 10 01:20:07 2025 initialized process (0,0) of 1 x 1 grid Wed Dec 10 01:20:14 2025 matrix starts at (0, 0) Wed Dec 10 01:20:20 2025 matrix is 8470922 x 8471099 (4032.5 MB) with weight 1215866748 (143.53/col) Wed Dec 10 01:20:20 2025 sparse part has weight 955442843 (112.79/col) Wed Dec 10 01:20:20 2025 saving the first 240 matrix rows for later Wed Dec 10 01:20:24 2025 matrix includes 256 packed rows Wed Dec 10 01:20:27 2025 matrix is 8470682 x 8471099 (3640.4 MB) with weight 871610561 (102.89/col) Wed Dec 10 01:20:27 2025 sparse part has weight 818765383 (96.65/col) Wed Dec 10 01:20:27 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Dec 10 01:20:46 2025 commencing Lanczos iteration (64 threads) Wed Dec 10 01:20:46 2025 memory use: 5244.6 MB Wed Dec 10 01:21:53 2025 linear algebra at 0.4%, ETA 5h 3m Wed Dec 10 01:23:33 2025 checking every 20000 dimensions, checkpointing every 1680000 dimensions Wed Dec 10 06:23:14 2025 lanczos halted after 33189 iterations (dim = 8470681) Wed Dec 10 06:23:48 2025 recovered 29 nontrivial dependencies Wed Dec 10 06:23:49 2025 BLanczosTime: 18222 Wed Dec 10 06:23:49 2025 Wed Dec 10 06:23:49 2025 commencing square root phase Wed Dec 10 06:23:49 2025 handling dependencies 1 to 64 Wed Dec 10 06:23:49 2025 reading relations for dependency 1 Wed Dec 10 06:23:49 2025 read 4236302 cycles Wed Dec 10 06:23:56 2025 cycles contain 16444018 unique relations Wed Dec 10 06:28:03 2025 read 16444018 relations Wed Dec 10 06:29:45 2025 multiplying 16444018 relations Wed Dec 10 06:32:30 2025 multiply complete, coefficients have about 911.48 million bits Wed Dec 10 06:32:34 2025 initial square root is modulo 150429677 Wed Dec 10 06:42:14 2025 sqrtTime: 1105 Wed Dec 10 06:42:14 2025 p80 factor: 17868168888969231212452359605192213350173225713234647537354671847610472127878439 Wed Dec 10 06:42:14 2025 p86 factor: 51909136477260527615102452866681176538034720585391245563090960631856431632571627016977 Wed Dec 10 06:42:14 2025 elapsed time 05:22:08