Wed May 28 18:13:38 2025 Wed May 28 18:13:38 2025 Wed May 28 18:13:38 2025 Msieve v. 1.54 (SVN unknown) Wed May 28 18:13:38 2025 random seeds: 51d51c3b 5065b54b Wed May 28 18:13:38 2025 factoring 637820979955386063511151430076070937084567723165380364655647745034338040096875587423596563020127890707204681470574578345680005199470200217797440330212598984388787068372125965226865197832992648085601 (198 digits) Wed May 28 18:13:39 2025 no P-1/P+1/ECM available, skipping Wed May 28 18:13:39 2025 commencing number field sieve (198-digit input) Wed May 28 18:13:39 2025 R0: 11533088023745572719197751699817193653 Wed May 28 18:13:39 2025 R1: -1 Wed May 28 18:13:39 2025 A0: 1 Wed May 28 18:13:39 2025 A1: 1 Wed May 28 18:13:39 2025 A2: 1 Wed May 28 18:13:39 2025 A3: 1 Wed May 28 18:13:39 2025 A4: 1 Wed May 28 18:13:39 2025 A5: 1 Wed May 28 18:13:39 2025 A6: 1 Wed May 28 18:13:39 2025 skew 1.34, size 5.009e-11, alpha 2.428, combined = 2.057e-12 rroots = 0 Wed May 28 18:13:39 2025 Wed May 28 18:13:39 2025 commencing relation filtering Wed May 28 18:13:39 2025 setting target matrix density to 112.0 Wed May 28 18:13:39 2025 estimated available RAM is 15954.4 MB Wed May 28 18:13:39 2025 commencing duplicate removal, pass 1 Wed May 28 18:16:21 2025 error -15 reading relation 21941698 Wed May 28 18:26:24 2025 skipped 10 relations with b > 2^32 Wed May 28 18:26:24 2025 found 4921349 hash collisions in 106184505 relations Wed May 28 18:26:34 2025 added 2438534 free relations Wed May 28 18:26:34 2025 commencing duplicate removal, pass 2 Wed May 28 18:27:13 2025 found 0 duplicates and 108623039 unique relations Wed May 28 18:27:13 2025 memory use: 261.2 MB Wed May 28 18:27:13 2025 reading ideals above 61014016 Wed May 28 18:27:13 2025 commencing singleton removal, initial pass Wed May 28 18:39:06 2025 memory use: 2756.0 MB Wed May 28 18:39:06 2025 reading all ideals from disk Wed May 28 18:39:11 2025 memory use: 1912.0 MB Wed May 28 18:39:17 2025 commencing in-memory singleton removal Wed May 28 18:39:24 2025 begin with 108623038 relations and 84452669 unique ideals Wed May 28 18:40:30 2025 reduce to 76675585 relations and 49673957 ideals in 13 passes Wed May 28 18:40:30 2025 max relations containing the same ideal: 35 Wed May 28 18:40:36 2025 reading ideals above 720000 Wed May 28 18:40:36 2025 commencing singleton removal, initial pass Wed May 28 18:51:48 2025 memory use: 1506.0 MB Wed May 28 18:51:49 2025 reading all ideals from disk Wed May 28 18:51:56 2025 memory use: 2836.7 MB Wed May 28 18:52:08 2025 keeping 56522950 ideals with weight <= 200, target excess is 388440 Wed May 28 18:52:19 2025 commencing in-memory singleton removal Wed May 28 18:52:28 2025 begin with 76675586 relations and 56522950 unique ideals Wed May 28 18:52:51 2025 reduce to 76675568 relations and 56522931 ideals in 3 passes Wed May 28 18:52:51 2025 max relations containing the same ideal: 200 Wed May 28 18:53:36 2025 removing 7764189 relations and 5764189 ideals in 2000000 cliques Wed May 28 18:53:40 2025 commencing in-memory singleton removal Wed May 28 18:53:47 2025 begin with 68911379 relations and 56522931 unique ideals Wed May 28 18:54:45 2025 reduce to 68249710 relations and 50075652 ideals in 9 passes Wed May 28 18:54:45 2025 max relations containing the same ideal: 196 Wed May 28 18:55:23 2025 removing 6342556 relations and 4342556 ideals in 2000000 cliques Wed May 28 18:55:27 2025 commencing in-memory singleton removal Wed May 28 18:55:33 2025 begin with 61907154 relations and 50075652 unique ideals Wed May 28 18:56:10 2025 reduce to 61448926 relations and 45261436 ideals in 7 passes Wed May 28 18:56:10 2025 max relations containing the same ideal: 181 Wed May 28 18:56:41 2025 removing 5898604 relations and 3898604 ideals in 2000000 cliques Wed May 28 18:56:45 2025 commencing in-memory singleton removal Wed May 28 18:56:50 2025 begin with 55550322 relations and 45261436 unique ideals Wed May 28 18:57:23 2025 reduce to 55142607 relations and 40942675 ideals in 7 passes Wed May 28 18:57:23 2025 max relations containing the same ideal: 173 Wed May 28 18:57:51 2025 removing 5676710 relations and 3676710 ideals in 2000000 cliques Wed May 28 18:57:54 2025 commencing in-memory singleton removal Wed May 28 18:57:59 2025 begin with 49465897 relations and 40942675 unique ideals Wed May 28 18:58:24 2025 reduce to 49071572 relations and 36858739 ideals in 6 passes Wed May 28 18:58:24 2025 max relations containing the same ideal: 158 Wed May 28 18:58:50 2025 removing 5539412 relations and 3539412 ideals in 2000000 cliques Wed May 28 18:58:53 2025 commencing in-memory singleton removal Wed May 28 18:58:57 2025 begin with 43532160 relations and 36858739 unique ideals Wed May 28 18:59:22 2025 reduce to 43132689 relations and 32905600 ideals in 7 passes Wed May 28 18:59:22 2025 max relations containing the same ideal: 145 Wed May 28 18:59:43 2025 removing 5453350 relations and 3453350 ideals in 2000000 cliques Wed May 28 18:59:46 2025 commencing in-memory singleton removal Wed May 28 18:59:50 2025 begin with 37679339 relations and 32905600 unique ideals Wed May 28 19:00:11 2025 reduce to 37257564 relations and 29013768 ideals in 6 passes Wed May 28 19:00:11 2025 max relations containing the same ideal: 130 Wed May 28 19:00:33 2025 removing 5397041 relations and 3397041 ideals in 2000000 cliques Wed May 28 19:00:36 2025 commencing in-memory singleton removal Wed May 28 19:00:39 2025 begin with 31860523 relations and 29013768 unique ideals Wed May 28 19:00:59 2025 reduce to 31402014 relations and 25137333 ideals in 6 passes Wed May 28 19:00:59 2025 max relations containing the same ideal: 116 Wed May 28 19:01:17 2025 removing 5360158 relations and 3360158 ideals in 2000000 cliques Wed May 28 19:01:20 2025 commencing in-memory singleton removal Wed May 28 19:01:23 2025 begin with 26041856 relations and 25137333 unique ideals Wed May 28 19:01:38 2025 reduce to 25525891 relations and 21233417 ideals in 7 passes Wed May 28 19:01:38 2025 max relations containing the same ideal: 102 Wed May 28 19:01:50 2025 removing 5324091 relations and 3324091 ideals in 2000000 cliques Wed May 28 19:01:52 2025 commencing in-memory singleton removal Wed May 28 19:01:55 2025 begin with 20201800 relations and 21233417 unique ideals Wed May 28 19:02:07 2025 reduce to 19597800 relations and 17265616 ideals in 8 passes Wed May 28 19:02:07 2025 max relations containing the same ideal: 88 Wed May 28 19:02:16 2025 removing 5010429 relations and 3128836 ideals in 1881593 cliques Wed May 28 19:02:18 2025 commencing in-memory singleton removal Wed May 28 19:02:19 2025 begin with 14587371 relations and 17265616 unique ideals Wed May 28 19:02:30 2025 reduce to 13877531 relations and 13369060 ideals in 9 passes Wed May 28 19:02:30 2025 max relations containing the same ideal: 68 Wed May 28 19:02:37 2025 removing 302122 relations and 244242 ideals in 57880 cliques Wed May 28 19:02:39 2025 commencing in-memory singleton removal Wed May 28 19:02:40 2025 begin with 13575409 relations and 13369060 unique ideals Wed May 28 19:02:45 2025 reduce to 13568511 relations and 13117881 ideals in 5 passes Wed May 28 19:02:45 2025 max relations containing the same ideal: 66 Wed May 28 19:02:48 2025 relations with 0 large ideals: 28929 Wed May 28 19:02:48 2025 relations with 1 large ideals: 8539 Wed May 28 19:02:48 2025 relations with 2 large ideals: 77201 Wed May 28 19:02:48 2025 relations with 3 large ideals: 473691 Wed May 28 19:02:48 2025 relations with 4 large ideals: 1553476 Wed May 28 19:02:48 2025 relations with 5 large ideals: 2994856 Wed May 28 19:02:48 2025 relations with 6 large ideals: 3571304 Wed May 28 19:02:48 2025 relations with 7+ large ideals: 4860515 Wed May 28 19:02:48 2025 commencing 2-way merge Wed May 28 19:02:56 2025 reduce to 9377745 relation sets and 8927115 unique ideals Wed May 28 19:02:56 2025 commencing full merge Wed May 28 19:07:11 2025 memory use: 1239.2 MB Wed May 28 19:07:12 2025 found 4288440 cycles, need 4275315 Wed May 28 19:07:13 2025 weight of 4275315 cycles is about 479324443 (112.11/cycle) Wed May 28 19:07:13 2025 distribution of cycle lengths: Wed May 28 19:07:13 2025 1 relations: 155621 Wed May 28 19:07:13 2025 2 relations: 238819 Wed May 28 19:07:13 2025 3 relations: 302398 Wed May 28 19:07:13 2025 4 relations: 328476 Wed May 28 19:07:13 2025 5 relations: 342804 Wed May 28 19:07:13 2025 6 relations: 341816 Wed May 28 19:07:13 2025 7 relations: 330849 Wed May 28 19:07:13 2025 8 relations: 308824 Wed May 28 19:07:13 2025 9 relations: 283463 Wed May 28 19:07:13 2025 10+ relations: 1642245 Wed May 28 19:07:13 2025 heaviest cycle: 28 relations Wed May 28 19:07:15 2025 commencing cycle optimization Wed May 28 19:07:24 2025 start with 37806250 relations Wed May 28 19:08:52 2025 pruned 1953997 relations Wed May 28 19:08:52 2025 memory use: 954.8 MB Wed May 28 19:08:52 2025 distribution of cycle lengths: Wed May 28 19:08:52 2025 1 relations: 155621 Wed May 28 19:08:52 2025 2 relations: 244483 Wed May 28 19:08:52 2025 3 relations: 315553 Wed May 28 19:08:52 2025 4 relations: 343213 Wed May 28 19:08:52 2025 5 relations: 362723 Wed May 28 19:08:52 2025 6 relations: 361544 Wed May 28 19:08:52 2025 7 relations: 350606 Wed May 28 19:08:52 2025 8 relations: 325830 Wed May 28 19:08:52 2025 9 relations: 297143 Wed May 28 19:08:52 2025 10+ relations: 1518599 Wed May 28 19:08:52 2025 heaviest cycle: 28 relations Wed May 28 19:09:02 2025 RelProcTime: 3323 Wed May 28 19:09:02 2025 elapsed time 00:55:24 Wed May 28 19:34:30 2025 Wed May 28 19:34:30 2025 Wed May 28 19:34:30 2025 Msieve v. 1.54 (SVN unknown) Wed May 28 19:34:30 2025 random seeds: 54b97cac c20461a7 Wed May 28 19:34:30 2025 factoring 637820979955386063511151430076070937084567723165380364655647745034338040096875587423596563020127890707204681470574578345680005199470200217797440330212598984388787068372125965226865197832992648085601 (198 digits) Wed May 28 19:34:31 2025 no P-1/P+1/ECM available, skipping Wed May 28 19:34:31 2025 commencing number field sieve (198-digit input) Wed May 28 19:34:31 2025 R0: 11533088023745572719197751699817193653 Wed May 28 19:34:31 2025 R1: -1 Wed May 28 19:34:31 2025 A0: 1 Wed May 28 19:34:31 2025 A1: 1 Wed May 28 19:34:31 2025 A2: 1 Wed May 28 19:34:31 2025 A3: 1 Wed May 28 19:34:31 2025 A4: 1 Wed May 28 19:34:31 2025 A5: 1 Wed May 28 19:34:31 2025 A6: 1 Wed May 28 19:34:31 2025 skew 1.34, size 5.009e-11, alpha 2.428, combined = 2.057e-12 rroots = 0 Wed May 28 19:34:31 2025 Wed May 28 19:34:31 2025 commencing linear algebra Wed May 28 19:34:31 2025 using VBITS=256 Wed May 28 19:34:31 2025 read 4275315 cycles Wed May 28 19:34:41 2025 cycles contain 13352016 unique relations Wed May 28 19:35:45 2025 read 13352016 relations Wed May 28 19:36:11 2025 using 20 quadratic characters above 4294917295 Wed May 28 19:37:06 2025 building initial matrix Wed May 28 19:40:06 2025 memory use: 1643.1 MB Wed May 28 19:40:08 2025 read 4275315 cycles Wed May 28 19:40:09 2025 matrix is 4275138 x 4275315 (1878.4 MB) with weight 535443823 (125.24/col) Wed May 28 19:40:09 2025 sparse part has weight 445391894 (104.18/col) Wed May 28 19:41:04 2025 filtering completed in 2 passes Wed May 28 19:41:05 2025 matrix is 4275045 x 4275209 (1878.4 MB) with weight 535440123 (125.24/col) Wed May 28 19:41:05 2025 sparse part has weight 445390524 (104.18/col) Wed May 28 19:41:16 2025 matrix starts at (0, 0) Wed May 28 19:41:17 2025 matrix is 4275045 x 4275209 (1878.4 MB) with weight 535440123 (125.24/col) Wed May 28 19:41:17 2025 sparse part has weight 445390524 (104.18/col) Wed May 28 19:41:17 2025 saving the first 240 matrix rows for later Wed May 28 19:41:18 2025 matrix includes 256 packed rows Wed May 28 19:41:20 2025 matrix is 4274805 x 4275209 (1715.1 MB) with weight 403707510 (94.43/col) Wed May 28 19:41:20 2025 sparse part has weight 381208444 (89.17/col) Wed May 28 19:41:21 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed May 28 19:41:21 2025 selected card has CUDA arch 8.6 Wed May 28 19:41:56 2025 commencing Lanczos iteration Wed May 28 19:41:56 2025 memory use: 4001.1 MB Wed May 28 19:42:16 2025 linear algebra at 0.2%, ETA 3h 5m Wed May 28 19:42:16 2025 checkpointing every 1430000 dimensions Wed May 28 21:08:18 2025 lanczos halted after 16750 iterations (dim = 4274799) Wed May 28 21:08:46 2025 recovered 34 nontrivial dependencies Wed May 28 21:08:46 2025 BLanczosTime: 5655 Wed May 28 21:08:46 2025 Wed May 28 21:08:46 2025 commencing square root phase Wed May 28 21:08:46 2025 handling dependencies 1 to 64 Wed May 28 21:08:46 2025 reading relations for dependency 1 Wed May 28 21:08:47 2025 read 2138304 cycles Wed May 28 21:08:50 2025 cycles contain 6676390 unique relations Wed May 28 21:09:31 2025 read 6676390 relations Wed May 28 21:10:01 2025 multiplying 6676390 relations Wed May 28 21:13:13 2025 multiply complete, coefficients have about 161.88 million bits Wed May 28 21:13:14 2025 initial square root is modulo 644843 Wed May 28 21:16:56 2025 GCD is N, no factor found Wed May 28 21:16:56 2025 reading relations for dependency 2 Wed May 28 21:16:56 2025 read 2138135 cycles Wed May 28 21:17:01 2025 cycles contain 6678916 unique relations Wed May 28 21:17:40 2025 read 6678916 relations Wed May 28 21:18:11 2025 multiplying 6678916 relations Wed May 28 21:21:23 2025 multiply complete, coefficients have about 161.94 million bits Wed May 28 21:21:24 2025 initial square root is modulo 648007 Wed May 28 21:25:05 2025 GCD is N, no factor found Wed May 28 21:25:05 2025 reading relations for dependency 3 Wed May 28 21:25:05 2025 read 2136541 cycles Wed May 28 21:25:09 2025 cycles contain 6673924 unique relations Wed May 28 21:25:46 2025 read 6673924 relations Wed May 28 21:26:20 2025 multiplying 6673924 relations Wed May 28 21:29:30 2025 multiply complete, coefficients have about 161.82 million bits Wed May 28 21:29:31 2025 initial square root is modulo 641819 Wed May 28 21:33:17 2025 GCD is 1, no factor found Wed May 28 21:33:17 2025 reading relations for dependency 4 Wed May 28 21:33:17 2025 read 2135827 cycles Wed May 28 21:33:21 2025 cycles contain 6671076 unique relations Wed May 28 21:34:01 2025 read 6671076 relations Wed May 28 21:34:34 2025 multiplying 6671076 relations Wed May 28 21:37:48 2025 multiply complete, coefficients have about 161.75 million bits Wed May 28 21:37:49 2025 initial square root is modulo 638081 Wed May 28 21:41:36 2025 sqrtTime: 1970 Wed May 28 21:41:36 2025 p58 factor: 2916012057732340423120457822180315576141826937979664360341 Wed May 28 21:41:36 2025 p141 factor: 218730570151137350121487690759687690636049513590543262882390195694164162995799534119689621740805983938535258983366918687613591658304982152861 Wed May 28 21:41:36 2025 elapsed time 02:07:06