Tue Mar 17 23:08:06 2026 Tue Mar 17 23:08:06 2026 Tue Mar 17 23:08:06 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Mar 17 23:08:06 2026 random seeds: 22bd0f6c 306f2e9d Tue Mar 17 23:08:06 2026 Using 32 OpenMP threads Tue Mar 17 23:08:06 2026 factoring 65719046148987596466393197535405961178317325057205414017831396426178863551689295549671570275164469374248780769794602396283345129452365621653935533035697183543 (158 digits) Tue Mar 17 23:08:06 2026 searching for 15-digit factors Tue Mar 17 23:08:07 2026 commencing number field sieve (158-digit input) Tue Mar 17 23:08:07 2026 R0: -3485515554624848058193389322453 Tue Mar 17 23:08:07 2026 R1: 256716824913642549060823 Tue Mar 17 23:08:07 2026 A0: 23455566078484976155644111917409230544 Tue Mar 17 23:08:07 2026 A1: 16338805597093648438292769819092 Tue Mar 17 23:08:07 2026 A2: -67788655778135550492302919 Tue Mar 17 23:08:07 2026 A3: -41357457787851555647 Tue Mar 17 23:08:07 2026 A4: 23450154354030 Tue Mar 17 23:08:07 2026 A5: 2356200 Tue Mar 17 23:08:07 2026 skew 1707804.59, size 2.397e-15, alpha -8.063, combined = 1.934e-12 rroots = 5 Tue Mar 17 23:08:07 2026 Tue Mar 17 23:08:07 2026 commencing relation filtering Tue Mar 17 23:08:07 2026 setting target matrix density to 110.0 Tue Mar 17 23:08:07 2026 estimated available RAM is 257948.4 MB Tue Mar 17 23:08:07 2026 commencing duplicate removal, pass 1 Tue Mar 17 23:09:55 2026 error -1 reading relation 41229367 Tue Mar 17 23:10:03 2026 error -1 reading relation 44305042 Tue Mar 17 23:10:27 2026 error -1 reading relation 53531800 Tue Mar 17 23:10:34 2026 skipped 32 malformed relations Tue Mar 17 23:10:34 2026 found 11329614 hash collisions in 55812483 relations Tue Mar 17 23:11:09 2026 added 121702 free relations Tue Mar 17 23:11:09 2026 commencing duplicate removal, pass 2 Tue Mar 17 23:13:05 2026 found 11361278 duplicates and 44572907 unique relations Tue Mar 17 23:13:05 2026 memory use: 330.4 MB Tue Mar 17 23:13:05 2026 reading ideals above 720000 Tue Mar 17 23:13:06 2026 commencing singleton removal, initial pass Tue Mar 17 23:17:27 2026 memory use: 1378.0 MB Tue Mar 17 23:17:28 2026 reading all ideals from disk Tue Mar 17 23:17:29 2026 memory use: 1957.1 MB Tue Mar 17 23:17:37 2026 keeping 45404465 ideals with weight <= 200, target excess is 243549 Tue Mar 17 23:17:47 2026 commencing in-memory singleton removal Tue Mar 17 23:17:48 2026 begin with 44572907 relations and 45404465 unique ideals Tue Mar 17 23:17:52 2026 reduce to 24158846 relations and 22442282 ideals in 16 passes Tue Mar 17 23:17:52 2026 max relations containing the same ideal: 138 Tue Mar 17 23:18:09 2026 removing 2830127 relations and 2430127 ideals in 400000 cliques Tue Mar 17 23:18:11 2026 commencing in-memory singleton removal Tue Mar 17 23:18:11 2026 begin with 21328719 relations and 22442282 unique ideals Tue Mar 17 23:18:13 2026 reduce to 21078159 relations and 19756169 ideals in 10 passes Tue Mar 17 23:18:13 2026 max relations containing the same ideal: 129 Tue Mar 17 23:18:27 2026 removing 2134475 relations and 1734475 ideals in 400000 cliques Tue Mar 17 23:18:28 2026 commencing in-memory singleton removal Tue Mar 17 23:18:29 2026 begin with 18943684 relations and 19756169 unique ideals Tue Mar 17 23:18:30 2026 reduce to 18777100 relations and 17851901 ideals in 9 passes Tue Mar 17 23:18:30 2026 max relations containing the same ideal: 118 Tue Mar 17 23:18:42 2026 removing 1921337 relations and 1521337 ideals in 400000 cliques Tue Mar 17 23:18:44 2026 commencing in-memory singleton removal Tue Mar 17 23:18:44 2026 begin with 16855763 relations and 17851901 unique ideals Tue Mar 17 23:18:45 2026 reduce to 16706434 relations and 16178327 ideals in 8 passes Tue Mar 17 23:18:45 2026 max relations containing the same ideal: 106 Tue Mar 17 23:18:56 2026 removing 1224301 relations and 978711 ideals in 245590 cliques Tue Mar 17 23:18:57 2026 commencing in-memory singleton removal Tue Mar 17 23:18:58 2026 begin with 15482133 relations and 16178327 unique ideals Tue Mar 17 23:18:59 2026 reduce to 15418422 relations and 15135058 ideals in 7 passes Tue Mar 17 23:18:59 2026 max relations containing the same ideal: 102 Tue Mar 17 23:19:12 2026 relations with 0 large ideals: 717 Tue Mar 17 23:19:12 2026 relations with 1 large ideals: 1941 Tue Mar 17 23:19:12 2026 relations with 2 large ideals: 29485 Tue Mar 17 23:19:12 2026 relations with 3 large ideals: 230831 Tue Mar 17 23:19:12 2026 relations with 4 large ideals: 993678 Tue Mar 17 23:19:12 2026 relations with 5 large ideals: 2541454 Tue Mar 17 23:19:12 2026 relations with 6 large ideals: 4052947 Tue Mar 17 23:19:12 2026 relations with 7+ large ideals: 7567369 Tue Mar 17 23:19:12 2026 commencing 2-way merge Tue Mar 17 23:19:28 2026 reduce to 9848210 relation sets and 9564846 unique ideals Tue Mar 17 23:19:28 2026 commencing full merge Tue Mar 17 23:26:09 2026 memory use: 1201.4 MB Tue Mar 17 23:26:11 2026 found 4489039 cycles, need 4473046 Tue Mar 17 23:26:14 2026 weight of 4473046 cycles is about 492123978 (110.02/cycle) Tue Mar 17 23:26:14 2026 distribution of cycle lengths: Tue Mar 17 23:26:14 2026 1 relations: 263132 Tue Mar 17 23:26:14 2026 2 relations: 347839 Tue Mar 17 23:26:14 2026 3 relations: 383210 Tue Mar 17 23:26:14 2026 4 relations: 375506 Tue Mar 17 23:26:14 2026 5 relations: 362642 Tue Mar 17 23:26:14 2026 6 relations: 340929 Tue Mar 17 23:26:14 2026 7 relations: 312616 Tue Mar 17 23:26:14 2026 8 relations: 290074 Tue Mar 17 23:26:14 2026 9 relations: 263328 Tue Mar 17 23:26:14 2026 10+ relations: 1533770 Tue Mar 17 23:26:14 2026 heaviest cycle: 28 relations Tue Mar 17 23:26:15 2026 commencing cycle optimization Tue Mar 17 23:26:31 2026 start with 36255764 relations Tue Mar 17 23:28:41 2026 pruned 1439960 relations Tue Mar 17 23:28:42 2026 memory use: 1009.8 MB Tue Mar 17 23:28:42 2026 distribution of cycle lengths: Tue Mar 17 23:28:42 2026 1 relations: 263132 Tue Mar 17 23:28:42 2026 2 relations: 357659 Tue Mar 17 23:28:42 2026 3 relations: 401006 Tue Mar 17 23:28:42 2026 4 relations: 390834 Tue Mar 17 23:28:42 2026 5 relations: 378164 Tue Mar 17 23:28:42 2026 6 relations: 353344 Tue Mar 17 23:28:42 2026 7 relations: 323892 Tue Mar 17 23:28:42 2026 8 relations: 297315 Tue Mar 17 23:28:42 2026 9 relations: 268788 Tue Mar 17 23:28:42 2026 10+ relations: 1438912 Tue Mar 17 23:28:42 2026 heaviest cycle: 28 relations Tue Mar 17 23:28:53 2026 RelProcTime: 1246 Tue Mar 17 23:28:53 2026 Tue Mar 17 23:28:53 2026 commencing linear algebra Tue Mar 17 23:28:53 2026 using VBITS=256 Tue Mar 17 23:28:53 2026 stopping after matrix build Tue Mar 17 23:28:54 2026 read 4473046 cycles Tue Mar 17 23:29:07 2026 cycles contain 15220389 unique relations Tue Mar 17 23:30:26 2026 read 15220389 relations Tue Mar 17 23:30:28 2026 using 20 quadratic characters above 4294917295 Tue Mar 17 23:30:30 2026 building initial matrix Tue Mar 17 23:35:59 2026 memory use: 2094.1 MB Tue Mar 17 23:36:03 2026 read 4473046 cycles Tue Mar 17 23:36:04 2026 matrix is 4472868 x 4473046 (1961.0 MB) with weight 606651620 (135.62/col) Tue Mar 17 23:36:04 2026 sparse part has weight 460398398 (102.93/col) Tue Mar 17 23:37:33 2026 filtering completed in 2 passes Tue Mar 17 23:37:35 2026 matrix is 4472632 x 4472810 (1961.0 MB) with weight 606639848 (135.63/col) Tue Mar 17 23:37:35 2026 sparse part has weight 460395063 (102.93/col) Tue Mar 17 23:37:54 2026 BLanczosTime: 541 Tue Mar 17 23:37:54 2026 elapsed time 00:29:48 Tue Mar 17 23:38:13 2026 Tue Mar 17 23:38:13 2026 Tue Mar 17 23:38:13 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Mar 17 23:38:13 2026 random seeds: c35b591b 05c69f8c Tue Mar 17 23:38:13 2026 Using 64 OpenMP threads Tue Mar 17 23:38:13 2026 factoring 65719046148987596466393197535405961178317325057205414017831396426178863551689295549671570275164469374248780769794602396283345129452365621653935533035697183543 (158 digits) Tue Mar 17 23:38:14 2026 searching for 15-digit factors Tue Mar 17 23:38:14 2026 commencing number field sieve (158-digit input) Tue Mar 17 23:38:14 2026 R0: -3485515554624848058193389322453 Tue Mar 17 23:38:14 2026 R1: 256716824913642549060823 Tue Mar 17 23:38:14 2026 A0: 23455566078484976155644111917409230544 Tue Mar 17 23:38:14 2026 A1: 16338805597093648438292769819092 Tue Mar 17 23:38:14 2026 A2: -67788655778135550492302919 Tue Mar 17 23:38:14 2026 A3: -41357457787851555647 Tue Mar 17 23:38:14 2026 A4: 23450154354030 Tue Mar 17 23:38:14 2026 A5: 2356200 Tue Mar 17 23:38:14 2026 skew 1707804.59, size 2.397e-15, alpha -8.063, combined = 1.934e-12 rroots = 5 Tue Mar 17 23:38:14 2026 Tue Mar 17 23:38:14 2026 commencing linear algebra Tue Mar 17 23:38:14 2026 using VBITS=256 Tue Mar 17 23:38:14 2026 skipping matrix build Tue Mar 17 23:38:16 2026 matrix starts at (0, 0) Tue Mar 17 23:38:17 2026 matrix is 4472632 x 4472810 (1961.0 MB) with weight 606639848 (135.63/col) Tue Mar 17 23:38:17 2026 sparse part has weight 460395063 (102.93/col) Tue Mar 17 23:38:17 2026 saving the first 240 matrix rows for later Tue Mar 17 23:38:18 2026 matrix includes 256 packed rows Tue Mar 17 23:38:19 2026 matrix is 4472392 x 4472810 (1765.1 MB) with weight 420158764 (93.94/col) Tue Mar 17 23:38:19 2026 sparse part has weight 391156479 (87.45/col) Tue Mar 17 23:38:19 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Tue Mar 17 23:38:27 2026 commencing Lanczos iteration (64 threads) Tue Mar 17 23:38:27 2026 memory use: 2477.9 MB Tue Mar 17 23:39:07 2026 linear algebra at 0.7%, ETA 1h34m Tue Mar 17 23:40:01 2026 checking every 40000 dimensions, checkpointing every 3000000 dimensions Wed Mar 18 01:10:02 2026 lanczos halted after 17524 iterations (dim = 4472391) Wed Mar 18 01:10:29 2026 recovered 31 nontrivial dependencies Wed Mar 18 01:10:29 2026 BLanczosTime: 5535 Wed Mar 18 01:10:29 2026 Wed Mar 18 01:10:29 2026 commencing square root phase Wed Mar 18 01:10:29 2026 handling dependencies 1 to 64 Wed Mar 18 01:10:29 2026 reading relations for dependency 1 Wed Mar 18 01:10:30 2026 read 2236160 cycles Wed Mar 18 01:10:37 2026 cycles contain 7607304 unique relations Wed Mar 18 01:11:48 2026 read 7607304 relations Wed Mar 18 01:12:32 2026 multiplying 7607304 relations Wed Mar 18 01:14:08 2026 multiply complete, coefficients have about 437.58 million bits Wed Mar 18 01:14:10 2026 initial square root is modulo 71051947 Wed Mar 18 01:19:01 2026 sqrtTime: 512 Wed Mar 18 01:19:01 2026 p63 factor: 534217185344819979234691575583114740179638033253284189317193667 Wed Mar 18 01:19:01 2026 p96 factor: 123019341106685045746928976666692825667575794595391916059226401902971694339968559072609866101629 Wed Mar 18 01:19:01 2026 elapsed time 01:40:48