Sun Jun 28 13:43:03 2026 Sun Jun 28 13:43:03 2026 Sun Jun 28 13:43:03 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jun 28 13:43:03 2026 random seeds: 612b2010 60400cdb Sun Jun 28 13:43:03 2026 MPI process 0 of 1 Sun Jun 28 13:43:03 2026 Using 32 OpenMP threads Sun Jun 28 13:43:03 2026 factoring 4815250219897151542809754384483240165162288837043267373245307582768852330595058740150222782927427188210415237579273956691562532160613769562921200258975116715095879133011063 (172 digits) Sun Jun 28 13:43:04 2026 searching for 15-digit factors Sun Jun 28 13:43:05 2026 commencing number field sieve (172-digit input) Sun Jun 28 13:43:05 2026 R0: -740939169108214366651373458305463 Sun Jun 28 13:43:05 2026 R1: 232142581411047004989483071 Sun Jun 28 13:43:05 2026 A0: 3286130279817432367594183526703747249750 Sun Jun 28 13:43:05 2026 A1: -1634170652802624408102138784488295 Sun Jun 28 13:43:05 2026 A2: -3006627478294806006583610214 Sun Jun 28 13:43:05 2026 A3: 1110133114888868796323 Sun Jun 28 13:43:05 2026 A4: 239987156368712 Sun Jun 28 13:43:05 2026 A5: 383040 Sun Jun 28 13:43:05 2026 skew 2675721.33, size 1.012e-16, alpha -7.262, combined = 2.910e-13 rroots = 5 Sun Jun 28 13:43:05 2026 Sun Jun 28 13:43:05 2026 commencing relation filtering Sun Jun 28 13:43:05 2026 setting target matrix density to 130.0 Sun Jun 28 13:43:05 2026 estimated available RAM is 257736.5 MB Sun Jun 28 13:43:05 2026 commencing duplicate removal, pass 1 Sun Jun 28 13:43:52 2026 error -1 reading relation 17099185 Sun Jun 28 13:44:11 2026 error -1 reading relation 22628830 Sun Jun 28 13:44:15 2026 error -1 reading relation 23808515 Sun Jun 28 13:46:09 2026 error -1 reading relation 61900634 Sun Jun 28 13:46:14 2026 error -1 reading relation 63679029 Sun Jun 28 13:46:17 2026 error -1 reading relation 65076507 Sun Jun 28 13:46:27 2026 error -1 reading relation 68405632 Sun Jun 28 13:48:01 2026 error -1 reading relation 99152831 Sun Jun 28 13:48:56 2026 error -1 reading relation 118557615 Sun Jun 28 13:49:20 2026 error -1 reading relation 126973344 Sun Jun 28 13:49:31 2026 error -1 reading relation 130673316 Sun Jun 28 13:50:10 2026 error -1 reading relation 143833666 Sun Jun 28 13:51:06 2026 error -1 reading relation 163314416 Sun Jun 28 13:52:15 2026 error -1 reading relation 185913054 Sun Jun 28 13:52:17 2026 error -1 reading relation 186674782 Sun Jun 28 13:52:18 2026 error -1 reading relation 186688214 Sun Jun 28 13:52:24 2026 error -1 reading relation 188903091 Sun Jun 28 13:52:29 2026 error -1 reading relation 190901624 Sun Jun 28 13:52:37 2026 error -1 reading relation 193476224 Sun Jun 28 13:52:57 2026 error -1 reading relation 200474276 Sun Jun 28 13:52:59 2026 error -1 reading relation 201099881 Sun Jun 28 13:53:16 2026 error -1 reading relation 207169968 Sun Jun 28 13:53:47 2026 error -1 reading relation 217470943 Sun Jun 28 13:54:16 2026 error -1 reading relation 227209233 Sun Jun 28 13:54:18 2026 error -1 reading relation 227910908 Sun Jun 28 13:55:00 2026 error -1 reading relation 242527883 Sun Jun 28 13:55:17 2026 error -1 reading relation 248083966 Sun Jun 28 13:55:36 2026 error -1 reading relation 254461227 Sun Jun 28 13:56:04 2026 error -1 reading relation 264274519 Sun Jun 28 13:56:11 2026 error -1 reading relation 267023041 Sun Jun 28 13:56:17 2026 error -1 reading relation 269160480 Sun Jun 28 13:58:02 2026 error -1 reading relation 306259433 Sun Jun 28 13:58:24 2026 error -1 reading relation 313297595 Sun Jun 28 13:58:28 2026 error -1 reading relation 314793745 Sun Jun 28 13:58:28 2026 error -1 reading relation 314809384 Sun Jun 28 13:58:59 2026 skipped 2 relations with composite factors Sun Jun 28 13:58:59 2026 skipped 302 malformed relations Sun Jun 28 13:58:59 2026 found 59668454 hash collisions in 325323444 relations Sun Jun 28 13:59:43 2026 added 121940 free relations Sun Jun 28 13:59:43 2026 commencing duplicate removal, pass 2 Sun Jun 28 14:12:56 2026 found 61120635 duplicates and 264324749 unique relations Sun Jun 28 14:12:56 2026 memory use: 1705.5 MB Sun Jun 28 14:12:56 2026 reading ideals above 720000 Sun Jun 28 14:12:56 2026 commencing singleton removal, initial pass Sun Jun 28 15:05:22 2026 memory use: 6024.0 MB Sun Jun 28 15:05:23 2026 reading all ideals from disk Sun Jun 28 15:05:33 2026 memory use: 12441.4 MB Sun Jun 28 15:06:56 2026 keeping 246835543 ideals with weight <= 200, target excess is 1278596 Sun Jun 28 15:08:37 2026 commencing in-memory singleton removal Sun Jun 28 15:08:45 2026 begin with 264324749 relations and 246835543 unique ideals Sun Jun 28 15:09:16 2026 reduce to 161685855 relations and 133177777 ideals in 14 passes Sun Jun 28 15:09:16 2026 max relations containing the same ideal: 151 Sun Jun 28 15:11:47 2026 removing 12411359 relations and 10411359 ideals in 2000000 cliques Sun Jun 28 15:11:57 2026 commencing in-memory singleton removal Sun Jun 28 15:12:02 2026 begin with 149274496 relations and 133177777 unique ideals Sun Jun 28 15:12:15 2026 reduce to 148519131 relations and 121998657 ideals in 8 passes Sun Jun 28 15:12:15 2026 max relations containing the same ideal: 146 Sun Jun 28 15:14:46 2026 removing 9436416 relations and 7436416 ideals in 2000000 cliques Sun Jun 28 15:14:57 2026 commencing in-memory singleton removal Sun Jun 28 15:15:01 2026 begin with 139082715 relations and 121998657 unique ideals Sun Jun 28 15:15:12 2026 reduce to 138584032 relations and 114056518 ideals in 8 passes Sun Jun 28 15:15:12 2026 max relations containing the same ideal: 136 Sun Jun 28 15:17:31 2026 removing 8530481 relations and 6530481 ideals in 2000000 cliques Sun Jun 28 15:17:39 2026 commencing in-memory singleton removal Sun Jun 28 15:17:43 2026 begin with 130053551 relations and 114056518 unique ideals Sun Jun 28 15:17:54 2026 reduce to 129614465 relations and 107080705 ideals in 7 passes Sun Jun 28 15:17:54 2026 max relations containing the same ideal: 131 Sun Jun 28 15:20:07 2026 removing 8063257 relations and 6063257 ideals in 2000000 cliques Sun Jun 28 15:20:15 2026 commencing in-memory singleton removal Sun Jun 28 15:20:18 2026 begin with 121551208 relations and 107080705 unique ideals Sun Jun 28 15:20:28 2026 reduce to 121134067 relations and 100594282 ideals in 7 passes Sun Jun 28 15:20:28 2026 max relations containing the same ideal: 129 Sun Jun 28 15:22:29 2026 removing 7778258 relations and 5778258 ideals in 2000000 cliques Sun Jun 28 15:22:36 2026 commencing in-memory singleton removal Sun Jun 28 15:22:40 2026 begin with 113355809 relations and 100594282 unique ideals Sun Jun 28 15:22:49 2026 reduce to 112944926 relations and 94398749 ideals in 7 passes Sun Jun 28 15:22:49 2026 max relations containing the same ideal: 121 Sun Jun 28 15:24:42 2026 removing 7591469 relations and 5591469 ideals in 2000000 cliques Sun Jun 28 15:24:50 2026 commencing in-memory singleton removal Sun Jun 28 15:24:54 2026 begin with 105353457 relations and 94398749 unique ideals Sun Jun 28 15:25:03 2026 reduce to 104935108 relations and 88382130 ideals in 8 passes Sun Jun 28 15:25:03 2026 max relations containing the same ideal: 118 Sun Jun 28 15:26:54 2026 removing 7475678 relations and 5475678 ideals in 2000000 cliques Sun Jun 28 15:27:01 2026 commencing in-memory singleton removal Sun Jun 28 15:27:04 2026 begin with 97459430 relations and 88382130 unique ideals Sun Jun 28 15:27:11 2026 reduce to 97027564 relations and 82467198 ideals in 7 passes Sun Jun 28 15:27:11 2026 max relations containing the same ideal: 112 Sun Jun 28 15:28:49 2026 removing 7403500 relations and 5403500 ideals in 2000000 cliques Sun Jun 28 15:28:56 2026 commencing in-memory singleton removal Sun Jun 28 15:28:59 2026 begin with 89624064 relations and 82467198 unique ideals Sun Jun 28 15:29:06 2026 reduce to 89172033 relations and 76603418 ideals in 7 passes Sun Jun 28 15:29:06 2026 max relations containing the same ideal: 105 Sun Jun 28 15:30:41 2026 removing 7370062 relations and 5370062 ideals in 2000000 cliques Sun Jun 28 15:30:48 2026 commencing in-memory singleton removal Sun Jun 28 15:30:50 2026 begin with 81801971 relations and 76603418 unique ideals Sun Jun 28 15:30:57 2026 reduce to 81318190 relations and 70740125 ideals in 7 passes Sun Jun 28 15:30:57 2026 max relations containing the same ideal: 100 Sun Jun 28 15:32:21 2026 removing 7365236 relations and 5365236 ideals in 2000000 cliques Sun Jun 28 15:32:27 2026 commencing in-memory singleton removal Sun Jun 28 15:32:29 2026 begin with 73952954 relations and 70740125 unique ideals Sun Jun 28 15:32:36 2026 reduce to 73427701 relations and 64838412 ideals in 8 passes Sun Jun 28 15:32:36 2026 max relations containing the same ideal: 92 Sun Jun 28 15:33:54 2026 removing 7396972 relations and 5396972 ideals in 2000000 cliques Sun Jun 28 15:34:00 2026 commencing in-memory singleton removal Sun Jun 28 15:34:02 2026 begin with 66030729 relations and 64838412 unique ideals Sun Jun 28 15:34:06 2026 reduce to 65452748 relations and 58849659 ideals in 7 passes Sun Jun 28 15:34:06 2026 max relations containing the same ideal: 85 Sun Jun 28 15:35:17 2026 removing 7447232 relations and 5447232 ideals in 2000000 cliques Sun Jun 28 15:35:22 2026 commencing in-memory singleton removal Sun Jun 28 15:35:24 2026 begin with 58005516 relations and 58849659 unique ideals Sun Jun 28 15:35:27 2026 reduce to 57349726 relations and 52729352 ideals in 8 passes Sun Jun 28 15:35:27 2026 max relations containing the same ideal: 80 Sun Jun 28 15:36:28 2026 removing 7527965 relations and 5527965 ideals in 2000000 cliques Sun Jun 28 15:36:33 2026 commencing in-memory singleton removal Sun Jun 28 15:36:34 2026 begin with 49821761 relations and 52729352 unique ideals Sun Jun 28 15:36:38 2026 reduce to 49055909 relations and 46412420 ideals in 10 passes Sun Jun 28 15:36:38 2026 max relations containing the same ideal: 72 Sun Jun 28 15:37:31 2026 removing 4978741 relations and 3818424 ideals in 1160317 cliques Sun Jun 28 15:37:35 2026 commencing in-memory singleton removal Sun Jun 28 15:37:36 2026 begin with 44077168 relations and 46412420 unique ideals Sun Jun 28 15:37:39 2026 reduce to 43706147 relations and 42215294 ideals in 8 passes Sun Jun 28 15:37:39 2026 max relations containing the same ideal: 66 Sun Jun 28 15:38:33 2026 relations with 0 large ideals: 4652 Sun Jun 28 15:38:33 2026 relations with 1 large ideals: 36363 Sun Jun 28 15:38:33 2026 relations with 2 large ideals: 469066 Sun Jun 28 15:38:33 2026 relations with 3 large ideals: 2490340 Sun Jun 28 15:38:33 2026 relations with 4 large ideals: 6993461 Sun Jun 28 15:38:33 2026 relations with 5 large ideals: 11514440 Sun Jun 28 15:38:33 2026 relations with 6 large ideals: 11646523 Sun Jun 28 15:38:33 2026 relations with 7+ large ideals: 10551302 Sun Jun 28 15:38:33 2026 commencing 2-way merge Sun Jun 28 15:39:40 2026 reduce to 27179267 relation sets and 25688414 unique ideals Sun Jun 28 15:39:40 2026 commencing full merge Sun Jun 28 16:05:54 2026 memory use: 3235.6 MB Sun Jun 28 16:06:03 2026 found 11914703 cycles, need 11858614 Sun Jun 28 16:06:08 2026 weight of 11858614 cycles is about 1541996915 (130.03/cycle) Sun Jun 28 16:06:08 2026 distribution of cycle lengths: Sun Jun 28 16:06:08 2026 1 relations: 498779 Sun Jun 28 16:06:08 2026 2 relations: 742484 Sun Jun 28 16:06:09 2026 3 relations: 829175 Sun Jun 28 16:06:09 2026 4 relations: 825119 Sun Jun 28 16:06:09 2026 5 relations: 823093 Sun Jun 28 16:06:09 2026 6 relations: 803158 Sun Jun 28 16:06:09 2026 7 relations: 783600 Sun Jun 28 16:06:09 2026 8 relations: 753602 Sun Jun 28 16:06:09 2026 9 relations: 714311 Sun Jun 28 16:06:09 2026 10+ relations: 5085293 Sun Jun 28 16:06:09 2026 heaviest cycle: 28 relations Sun Jun 28 16:06:18 2026 commencing cycle optimization Sun Jun 28 16:07:36 2026 start with 110139703 relations Sun Jun 28 16:19:20 2026 pruned 4878314 relations Sun Jun 28 16:19:21 2026 memory use: 2919.8 MB Sun Jun 28 16:19:21 2026 distribution of cycle lengths: Sun Jun 28 16:19:21 2026 1 relations: 498779 Sun Jun 28 16:19:21 2026 2 relations: 762047 Sun Jun 28 16:19:21 2026 3 relations: 865124 Sun Jun 28 16:19:21 2026 4 relations: 857784 Sun Jun 28 16:19:21 2026 5 relations: 862036 Sun Jun 28 16:19:21 2026 6 relations: 838251 Sun Jun 28 16:19:21 2026 7 relations: 821624 Sun Jun 28 16:19:21 2026 8 relations: 786688 Sun Jun 28 16:19:21 2026 9 relations: 746564 Sun Jun 28 16:19:21 2026 10+ relations: 4819717 Sun Jun 28 16:19:21 2026 heaviest cycle: 28 relations Sun Jun 28 16:20:11 2026 RelProcTime: 9426 Sun Jun 28 16:20:11 2026 Sun Jun 28 16:20:11 2026 commencing linear algebra Sun Jun 28 16:20:11 2026 using VBITS=256 Sun Jun 28 16:20:11 2026 stopping after matrix build Sun Jun 28 16:20:11 2026 initialized process (0,0) of 1 x 1 grid Sun Jun 28 16:20:14 2026 read 11858614 cycles Sun Jun 28 16:21:15 2026 cycles contain 42730082 unique relations Sun Jun 28 16:29:20 2026 read 42730082 relations Sun Jun 28 16:29:27 2026 using 20 quadratic characters above 4294917295 Sun Jun 28 16:29:35 2026 building initial matrix Sun Jun 28 16:58:03 2026 memory use: 5875.3 MB Sun Jun 28 16:58:22 2026 read 11858614 cycles Sun Jun 28 16:58:26 2026 matrix is 11858437 x 11858614 (6007.6 MB) with weight 1810263961 (152.65/col) Sun Jun 28 16:58:26 2026 sparse part has weight 1432552777 (120.80/col) Sun Jun 28 17:05:55 2026 filtering completed in 2 passes Sun Jun 28 17:06:02 2026 matrix is 11858027 x 11858202 (6007.6 MB) with weight 1810242808 (152.66/col) Sun Jun 28 17:06:02 2026 sparse part has weight 1432545543 (120.81/col) Sun Jun 28 17:07:57 2026 BLanczosTime: 2866 Sun Jun 28 17:07:57 2026 elapsed time 03:24:54 Sun Jun 28 21:50:31 2026 Sun Jun 28 21:50:31 2026 Sun Jun 28 21:50:31 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jun 28 21:50:31 2026 random seeds: b250513f 27628589 Sun Jun 28 21:50:31 2026 MPI process 0 of 1 Sun Jun 28 21:50:31 2026 Using 64 OpenMP threads Sun Jun 28 21:50:31 2026 factoring 4815250219897151542809754384483240165162288837043267373245307582768852330595058740150222782927427188210415237579273956691562532160613769562921200258975116715095879133011063 (172 digits) Sun Jun 28 21:50:32 2026 searching for 15-digit factors Sun Jun 28 21:50:32 2026 commencing number field sieve (172-digit input) Sun Jun 28 21:50:32 2026 R0: -740939169108214366651373458305463 Sun Jun 28 21:50:32 2026 R1: 232142581411047004989483071 Sun Jun 28 21:50:32 2026 A0: 3286130279817432367594183526703747249750 Sun Jun 28 21:50:32 2026 A1: -1634170652802624408102138784488295 Sun Jun 28 21:50:32 2026 A2: -3006627478294806006583610214 Sun Jun 28 21:50:32 2026 A3: 1110133114888868796323 Sun Jun 28 21:50:32 2026 A4: 239987156368712 Sun Jun 28 21:50:32 2026 A5: 383040 Sun Jun 28 21:50:32 2026 skew 2675721.33, size 1.012e-16, alpha -7.262, combined = 2.910e-13 rroots = 5 Sun Jun 28 21:50:32 2026 Sun Jun 28 21:50:32 2026 commencing linear algebra Sun Jun 28 21:50:32 2026 using VBITS=256 Sun Jun 28 21:50:32 2026 skipping matrix build Sun Jun 28 21:50:32 2026 initialized process (0,0) of 1 x 1 grid Sun Jun 28 21:50:38 2026 matrix starts at (0, 0) Sun Jun 28 21:50:40 2026 matrix is 11858027 x 11858202 (6007.6 MB) with weight 1810242808 (152.66/col) Sun Jun 28 21:50:40 2026 sparse part has weight 1432545543 (120.81/col) Sun Jun 28 21:50:40 2026 saving the first 240 matrix rows for later Sun Jun 28 21:50:42 2026 matrix includes 256 packed rows Sun Jun 28 21:50:46 2026 matrix is 11857787 x 11858202 (5398.2 MB) with weight 1311580815 (110.61/col) Sun Jun 28 21:50:46 2026 sparse part has weight 1225375675 (103.34/col) Sun Jun 28 21:50:46 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Jun 28 21:51:13 2026 commencing Lanczos iteration (64 threads) Sun Jun 28 21:51:13 2026 memory use: 7621.7 MB Sun Jun 28 21:52:51 2026 linear algebra at 0.3%, ETA 10h18m Sun Jun 28 21:55:13 2026 checking every 10000 dimensions, checkpointing every 1170000 dimensions Mon Jun 29 08:10:36 2026 lanczos halted after 46460 iterations (dim = 11857787) Mon Jun 29 08:11:45 2026 recovered 32 nontrivial dependencies Mon Jun 29 08:11:47 2026 BLanczosTime: 37275 Mon Jun 29 08:11:47 2026 Mon Jun 29 08:11:47 2026 commencing square root phase Mon Jun 29 08:11:47 2026 handling dependencies 1 to 64 Mon Jun 29 08:11:47 2026 reading relations for dependency 1 Mon Jun 29 08:11:50 2026 read 5927756 cycles Mon Jun 29 08:12:20 2026 cycles contain 21362722 unique relations Mon Jun 29 08:20:07 2026 read 21362722 relations Mon Jun 29 08:24:03 2026 multiplying 21362722 relations Mon Jun 29 08:29:08 2026 multiply complete, coefficients have about 1308.80 million bits Mon Jun 29 08:29:15 2026 initial square root is modulo 742943 Mon Jun 29 08:46:45 2026 sqrtTime: 2098 Mon Jun 29 08:46:45 2026 p67 factor: 2742725189931322064669716883008551254930940019285595282094758069281 Mon Jun 29 08:46:45 2026 p106 factor: 1755644436261485452673547670352835432084538942106284231848452957289211643621653517752152752051644350729623 Mon Jun 29 08:46:45 2026 elapsed time 10:56:14