Wed May 27 20:06:24 2026 Wed May 27 20:06:24 2026 Wed May 27 20:06:24 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed May 27 20:06:24 2026 random seeds: b9195042 e4f3b073 Wed May 27 20:06:24 2026 MPI process 0 of 1 Wed May 27 20:06:24 2026 Using 32 OpenMP threads Wed May 27 20:06:24 2026 factoring 330415571163594898461680533522158020281818732754507285112137051887045488435743986496557891569235728907883834957937720001240553580487406273585389324809673269416303 (162 digits) Wed May 27 20:06:25 2026 searching for 15-digit factors Wed May 27 20:06:26 2026 commencing number field sieve (162-digit input) Wed May 27 20:06:26 2026 R0: -17894225926859201322746506810716 Wed May 27 20:06:26 2026 R1: 1061277563490391280319023 Wed May 27 20:06:26 2026 A0: 168261682180096840761324661453022334618 Wed May 27 20:06:26 2026 A1: -125101783513491716172082850783101 Wed May 27 20:06:26 2026 A2: -80984714973561361311589328 Wed May 27 20:06:26 2026 A3: 14465743836868092773 Wed May 27 20:06:26 2026 A4: 4030995603318 Wed May 27 20:06:26 2026 A5: 808920 Wed May 27 20:06:26 2026 skew 3308614.15, size 1.052e-15, alpha -7.430, combined = 1.198e-12 rroots = 3 Wed May 27 20:06:26 2026 Wed May 27 20:06:26 2026 commencing relation filtering Wed May 27 20:06:26 2026 setting target matrix density to 130.0 Wed May 27 20:06:26 2026 estimated available RAM is 257736.5 MB Wed May 27 20:06:26 2026 commencing duplicate removal, pass 1 Wed May 27 20:07:20 2026 error -1 reading relation 22675921 Wed May 27 20:11:06 2026 error -1 reading relation 115502339 Wed May 27 20:11:38 2026 error -1 reading relation 129161243 Wed May 27 20:11:55 2026 skipped 1 relations with composite factors Wed May 27 20:11:55 2026 skipped 68 malformed relations Wed May 27 20:11:55 2026 found 25398559 hash collisions in 136365092 relations Wed May 27 20:12:35 2026 added 122500 free relations Wed May 27 20:12:35 2026 commencing duplicate removal, pass 2 Wed May 27 20:17:14 2026 found 23479544 duplicates and 113008048 unique relations Wed May 27 20:17:14 2026 memory use: 724.8 MB Wed May 27 20:17:14 2026 reading ideals above 720000 Wed May 27 20:17:14 2026 commencing singleton removal, initial pass Wed May 27 20:31:19 2026 memory use: 3012.0 MB Wed May 27 20:31:19 2026 reading all ideals from disk Wed May 27 20:31:23 2026 memory use: 5018.9 MB Wed May 27 20:31:46 2026 keeping 114088102 ideals with weight <= 200, target excess is 618452 Wed May 27 20:32:15 2026 commencing in-memory singleton removal Wed May 27 20:32:18 2026 begin with 113008048 relations and 114088102 unique ideals Wed May 27 20:32:28 2026 reduce to 53455370 relations and 46148459 ideals in 18 passes Wed May 27 20:32:28 2026 max relations containing the same ideal: 127 Wed May 27 20:33:13 2026 removing 6763182 relations and 5763182 ideals in 1000000 cliques Wed May 27 20:33:16 2026 commencing in-memory singleton removal Wed May 27 20:33:17 2026 begin with 46692188 relations and 46148459 unique ideals Wed May 27 20:33:21 2026 reduce to 46056407 relations and 39734363 ideals in 10 passes Wed May 27 20:33:21 2026 max relations containing the same ideal: 117 Wed May 27 20:34:02 2026 removing 5069937 relations and 4069937 ideals in 1000000 cliques Wed May 27 20:34:07 2026 commencing in-memory singleton removal Wed May 27 20:34:07 2026 begin with 40986470 relations and 39734363 unique ideals Wed May 27 20:34:11 2026 reduce to 40563810 relations and 35232517 ideals in 8 passes Wed May 27 20:34:11 2026 max relations containing the same ideal: 108 Wed May 27 20:34:46 2026 removing 4551552 relations and 3551552 ideals in 1000000 cliques Wed May 27 20:34:49 2026 commencing in-memory singleton removal Wed May 27 20:34:50 2026 begin with 36012258 relations and 35232517 unique ideals Wed May 27 20:34:52 2026 reduce to 35628656 relations and 31288619 ideals in 9 passes Wed May 27 20:34:52 2026 max relations containing the same ideal: 95 Wed May 27 20:35:21 2026 removing 4282428 relations and 3282428 ideals in 1000000 cliques Wed May 27 20:35:24 2026 commencing in-memory singleton removal Wed May 27 20:35:25 2026 begin with 31346228 relations and 31288619 unique ideals Wed May 27 20:35:27 2026 reduce to 30967610 relations and 27617929 ideals in 8 passes Wed May 27 20:35:27 2026 max relations containing the same ideal: 85 Wed May 27 20:35:54 2026 removing 4117129 relations and 3117129 ideals in 1000000 cliques Wed May 27 20:35:56 2026 commencing in-memory singleton removal Wed May 27 20:35:57 2026 begin with 26850481 relations and 27617929 unique ideals Wed May 27 20:35:59 2026 reduce to 26456769 relations and 24095968 ideals in 8 passes Wed May 27 20:35:59 2026 max relations containing the same ideal: 76 Wed May 27 20:36:21 2026 removing 4000837 relations and 3000837 ideals in 1000000 cliques Wed May 27 20:36:23 2026 commencing in-memory singleton removal Wed May 27 20:36:23 2026 begin with 22455932 relations and 24095968 unique ideals Wed May 27 20:36:25 2026 reduce to 22028294 relations and 20653638 ideals in 8 passes Wed May 27 20:36:25 2026 max relations containing the same ideal: 67 Wed May 27 20:36:45 2026 removing 2827098 relations and 2169847 ideals in 657251 cliques Wed May 27 20:36:47 2026 commencing in-memory singleton removal Wed May 27 20:36:48 2026 begin with 19201196 relations and 20653638 unique ideals Wed May 27 20:36:49 2026 reduce to 18960814 relations and 18237173 ideals in 9 passes Wed May 27 20:36:49 2026 max relations containing the same ideal: 61 Wed May 27 20:37:07 2026 relations with 0 large ideals: 1969 Wed May 27 20:37:07 2026 relations with 1 large ideals: 17794 Wed May 27 20:37:07 2026 relations with 2 large ideals: 227079 Wed May 27 20:37:07 2026 relations with 3 large ideals: 1205493 Wed May 27 20:37:07 2026 relations with 4 large ideals: 3338007 Wed May 27 20:37:07 2026 relations with 5 large ideals: 5244409 Wed May 27 20:37:07 2026 relations with 6 large ideals: 4937559 Wed May 27 20:37:07 2026 relations with 7+ large ideals: 3988504 Wed May 27 20:37:07 2026 commencing 2-way merge Wed May 27 20:37:28 2026 reduce to 11505109 relation sets and 10781468 unique ideals Wed May 27 20:37:28 2026 commencing full merge Wed May 27 20:45:40 2026 memory use: 1332.9 MB Wed May 27 20:45:42 2026 found 5033421 cycles, need 4997668 Wed May 27 20:45:45 2026 weight of 4997668 cycles is about 650134760 (130.09/cycle) Wed May 27 20:45:45 2026 distribution of cycle lengths: Wed May 27 20:45:45 2026 1 relations: 187851 Wed May 27 20:45:45 2026 2 relations: 279213 Wed May 27 20:45:45 2026 3 relations: 330921 Wed May 27 20:45:45 2026 4 relations: 342332 Wed May 27 20:45:45 2026 5 relations: 352238 Wed May 27 20:45:45 2026 6 relations: 348424 Wed May 27 20:45:45 2026 7 relations: 340177 Wed May 27 20:45:45 2026 8 relations: 329194 Wed May 27 20:45:45 2026 9 relations: 310335 Wed May 27 20:45:45 2026 10+ relations: 2176983 Wed May 27 20:45:45 2026 heaviest cycle: 28 relations Wed May 27 20:45:47 2026 commencing cycle optimization Wed May 27 20:46:09 2026 start with 46954838 relations Wed May 27 20:49:38 2026 pruned 2013522 relations Wed May 27 20:49:38 2026 memory use: 1254.8 MB Wed May 27 20:49:38 2026 distribution of cycle lengths: Wed May 27 20:49:38 2026 1 relations: 187851 Wed May 27 20:49:38 2026 2 relations: 286822 Wed May 27 20:49:38 2026 3 relations: 344988 Wed May 27 20:49:38 2026 4 relations: 356779 Wed May 27 20:49:38 2026 5 relations: 368851 Wed May 27 20:49:38 2026 6 relations: 364115 Wed May 27 20:49:38 2026 7 relations: 355982 Wed May 27 20:49:38 2026 8 relations: 343464 Wed May 27 20:49:38 2026 9 relations: 324325 Wed May 27 20:49:38 2026 10+ relations: 2064491 Wed May 27 20:49:38 2026 heaviest cycle: 28 relations Wed May 27 20:49:54 2026 RelProcTime: 2608 Wed May 27 20:49:54 2026 Wed May 27 20:49:54 2026 commencing linear algebra Wed May 27 20:49:54 2026 using VBITS=256 Wed May 27 20:49:54 2026 stopping after matrix build Wed May 27 20:49:54 2026 initialized process (0,0) of 1 x 1 grid Wed May 27 20:49:55 2026 read 4997668 cycles Wed May 27 20:50:14 2026 cycles contain 18447688 unique relations Wed May 27 20:53:16 2026 read 18447688 relations Wed May 27 20:53:19 2026 using 20 quadratic characters above 4294917295 Wed May 27 20:53:22 2026 building initial matrix Wed May 27 21:01:55 2026 memory use: 2504.8 MB Wed May 27 21:02:02 2026 read 4997668 cycles Wed May 27 21:02:04 2026 matrix is 4997491 x 4997668 (2532.8 MB) with weight 767853438 (153.64/col) Wed May 27 21:02:04 2026 sparse part has weight 603979717 (120.85/col) Wed May 27 21:04:06 2026 filtering completed in 2 passes Wed May 27 21:04:09 2026 matrix is 4997291 x 4997467 (2532.7 MB) with weight 767841866 (153.65/col) Wed May 27 21:04:09 2026 sparse part has weight 603975275 (120.86/col) Wed May 27 21:04:47 2026 BLanczosTime: 893 Wed May 27 21:04:47 2026 elapsed time 00:58:23 Wed May 27 21:20:31 2026 Wed May 27 21:20:31 2026 Wed May 27 21:20:31 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed May 27 21:20:31 2026 random seeds: b3120368 72652bc9 Wed May 27 21:20:31 2026 MPI process 0 of 1 Wed May 27 21:20:31 2026 Using 64 OpenMP threads Wed May 27 21:20:31 2026 factoring 330415571163594898461680533522158020281818732754507285112137051887045488435743986496557891569235728907883834957937720001240553580487406273585389324809673269416303 (162 digits) Wed May 27 21:20:32 2026 searching for 15-digit factors Wed May 27 21:20:32 2026 commencing number field sieve (162-digit input) Wed May 27 21:20:32 2026 R0: -17894225926859201322746506810716 Wed May 27 21:20:32 2026 R1: 1061277563490391280319023 Wed May 27 21:20:32 2026 A0: 168261682180096840761324661453022334618 Wed May 27 21:20:32 2026 A1: -125101783513491716172082850783101 Wed May 27 21:20:32 2026 A2: -80984714973561361311589328 Wed May 27 21:20:32 2026 A3: 14465743836868092773 Wed May 27 21:20:32 2026 A4: 4030995603318 Wed May 27 21:20:32 2026 A5: 808920 Wed May 27 21:20:32 2026 skew 3308614.15, size 1.052e-15, alpha -7.430, combined = 1.198e-12 rroots = 3 Wed May 27 21:20:32 2026 Wed May 27 21:20:32 2026 commencing linear algebra Wed May 27 21:20:32 2026 using VBITS=256 Wed May 27 21:20:32 2026 skipping matrix build Wed May 27 21:20:32 2026 initialized process (0,0) of 1 x 1 grid Wed May 27 21:20:37 2026 matrix starts at (0, 0) Wed May 27 21:20:38 2026 matrix is 4997291 x 4997467 (2532.7 MB) with weight 767841866 (153.65/col) Wed May 27 21:20:38 2026 sparse part has weight 603975275 (120.86/col) Wed May 27 21:20:38 2026 saving the first 240 matrix rows for later Wed May 27 21:20:40 2026 matrix includes 256 packed rows Wed May 27 21:20:41 2026 matrix is 4997051 x 4997467 (2252.3 MB) with weight 546550499 (109.37/col) Wed May 27 21:20:41 2026 sparse part has weight 510477199 (102.15/col) Wed May 27 21:20:41 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed May 27 21:20:53 2026 commencing Lanczos iteration (64 threads) Wed May 27 21:20:53 2026 memory use: 3175.5 MB Wed May 27 21:21:32 2026 linear algebra at 0.6%, ETA 1h45m Wed May 27 21:22:30 2026 checking every 40000 dimensions, checkpointing every 2880000 dimensions Wed May 27 23:03:43 2026 lanczos halted after 19580 iterations (dim = 4997051) Wed May 27 23:03:59 2026 recovered 31 nontrivial dependencies Wed May 27 23:03:59 2026 BLanczosTime: 6207 Wed May 27 23:03:59 2026 Wed May 27 23:03:59 2026 commencing square root phase Wed May 27 23:03:59 2026 handling dependencies 1 to 64 Wed May 27 23:03:59 2026 reading relations for dependency 1 Wed May 27 23:03:59 2026 read 2496793 cycles Wed May 27 23:04:03 2026 cycles contain 9221356 unique relations Wed May 27 23:05:50 2026 read 9221356 relations Wed May 27 23:06:19 2026 multiplying 9221356 relations Wed May 27 23:07:05 2026 multiply complete, coefficients have about 510.84 million bits Wed May 27 23:07:06 2026 initial square root is modulo 1465832261 Wed May 27 23:11:13 2026 sqrtTime: 434 Wed May 27 23:11:13 2026 p61 factor: 4414397089376858694914231117261313900242292639223500691366913 Wed May 27 23:11:13 2026 p101 factor: 74849535389268013410459285940077580117704772929409477058263116353021363294831527262449282042674034031 Wed May 27 23:11:13 2026 elapsed time 01:50:42