Fri Apr 10 09:50:58 2026 Fri Apr 10 09:50:58 2026 Fri Apr 10 09:50:58 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 10 09:50:58 2026 random seeds: 6fc36e7b 4f2d70de Fri Apr 10 09:50:58 2026 factoring 6443126537590097602303326749117240442735221954692859148403872367645598956553489958136978524505307087979559034255169009949798409174544887002124737622450643670730344744533731305356734038084460016025240757813083 (208 digits) Fri Apr 10 09:50:59 2026 no P-1/P+1/ECM available, skipping Fri Apr 10 09:50:59 2026 commencing number field sieve (208-digit input) Fri Apr 10 09:50:59 2026 R0: 66228360725518335023518500541941216247 Fri Apr 10 09:50:59 2026 R1: -1 Fri Apr 10 09:50:59 2026 A0: 1 Fri Apr 10 09:50:59 2026 A1: 1 Fri Apr 10 09:50:59 2026 A2: 1 Fri Apr 10 09:50:59 2026 A3: 1 Fri Apr 10 09:50:59 2026 A4: 1 Fri Apr 10 09:50:59 2026 A5: 1 Fri Apr 10 09:50:59 2026 A6: 1 Fri Apr 10 09:50:59 2026 skew 1.35, size 3.040e-11, alpha 2.428, combined = 1.437e-12 rroots = 0 Fri Apr 10 09:50:59 2026 Fri Apr 10 09:50:59 2026 commencing relation filtering Fri Apr 10 09:50:59 2026 setting target matrix density to 100.0 Fri Apr 10 09:50:59 2026 estimated available RAM is 7902.4 MB Fri Apr 10 09:50:59 2026 commencing duplicate removal, pass 1 Fri Apr 10 10:07:04 2026 found 5449949 hash collisions in 111925300 relations Fri Apr 10 10:07:15 2026 added 2438534 free relations Fri Apr 10 10:07:15 2026 commencing duplicate removal, pass 2 Fri Apr 10 10:08:04 2026 found 0 duplicates and 114363834 unique relations Fri Apr 10 10:08:04 2026 memory use: 378.4 MB Fri Apr 10 10:08:04 2026 reading ideals above 51838976 Fri Apr 10 10:08:04 2026 commencing singleton removal, initial pass Fri Apr 10 10:21:13 2026 memory use: 3012.0 MB Fri Apr 10 10:21:13 2026 reading all ideals from disk Fri Apr 10 10:21:19 2026 memory use: 2115.9 MB Fri Apr 10 10:21:25 2026 commencing in-memory singleton removal Fri Apr 10 10:21:31 2026 begin with 114363834 relations and 108364435 unique ideals Fri Apr 10 10:22:35 2026 reduce to 57289961 relations and 43465221 ideals in 17 passes Fri Apr 10 10:22:35 2026 max relations containing the same ideal: 29 Fri Apr 10 10:22:41 2026 reading ideals above 720000 Fri Apr 10 10:22:41 2026 commencing singleton removal, initial pass Fri Apr 10 10:31:32 2026 memory use: 1378.0 MB Fri Apr 10 10:31:32 2026 reading all ideals from disk Fri Apr 10 10:31:38 2026 memory use: 2108.1 MB Fri Apr 10 10:31:46 2026 keeping 49381631 ideals with weight <= 200, target excess is 291987 Fri Apr 10 10:31:53 2026 commencing in-memory singleton removal Fri Apr 10 10:32:00 2026 begin with 57289963 relations and 49381631 unique ideals Fri Apr 10 10:32:17 2026 reduce to 57289845 relations and 49381508 ideals in 3 passes Fri Apr 10 10:32:17 2026 max relations containing the same ideal: 200 Fri Apr 10 10:32:52 2026 removing 6340909 relations and 5340909 ideals in 1000000 cliques Fri Apr 10 10:32:55 2026 commencing in-memory singleton removal Fri Apr 10 10:33:00 2026 begin with 50948936 relations and 49381508 unique ideals Fri Apr 10 10:33:57 2026 reduce to 50290417 relations and 43366385 ideals in 10 passes Fri Apr 10 10:33:57 2026 max relations containing the same ideal: 191 Fri Apr 10 10:34:28 2026 removing 4945984 relations and 3945984 ideals in 1000000 cliques Fri Apr 10 10:34:31 2026 commencing in-memory singleton removal Fri Apr 10 10:34:35 2026 begin with 45344433 relations and 43366385 unique ideals Fri Apr 10 10:35:14 2026 reduce to 44924943 relations and 38992135 ideals in 10 passes Fri Apr 10 10:35:14 2026 max relations containing the same ideal: 183 Fri Apr 10 10:35:39 2026 removing 4495583 relations and 3495583 ideals in 1000000 cliques Fri Apr 10 10:35:41 2026 commencing in-memory singleton removal Fri Apr 10 10:35:45 2026 begin with 40429360 relations and 38992135 unique ideals Fri Apr 10 10:36:12 2026 reduce to 40059139 relations and 35118330 ideals in 8 passes Fri Apr 10 10:36:12 2026 max relations containing the same ideal: 167 Fri Apr 10 10:36:35 2026 removing 4251442 relations and 3251442 ideals in 1000000 cliques Fri Apr 10 10:36:37 2026 commencing in-memory singleton removal Fri Apr 10 10:36:40 2026 begin with 35807697 relations and 35118330 unique ideals Fri Apr 10 10:36:55 2026 reduce to 35444962 relations and 31495872 ideals in 8 passes Fri Apr 10 10:36:55 2026 max relations containing the same ideal: 153 Fri Apr 10 10:37:08 2026 removing 4104815 relations and 3104815 ideals in 1000000 cliques Fri Apr 10 10:37:09 2026 commencing in-memory singleton removal Fri Apr 10 10:37:11 2026 begin with 31340147 relations and 31495872 unique ideals Fri Apr 10 10:37:24 2026 reduce to 30962508 relations and 28003879 ideals in 8 passes Fri Apr 10 10:37:24 2026 max relations containing the same ideal: 141 Fri Apr 10 10:37:35 2026 removing 4018414 relations and 3018414 ideals in 1000000 cliques Fri Apr 10 10:37:36 2026 commencing in-memory singleton removal Fri Apr 10 10:37:38 2026 begin with 26944094 relations and 28003879 unique ideals Fri Apr 10 10:37:50 2026 reduce to 26527907 relations and 24557217 ideals in 9 passes Fri Apr 10 10:37:50 2026 max relations containing the same ideal: 128 Fri Apr 10 10:38:00 2026 removing 3987599 relations and 2987599 ideals in 1000000 cliques Fri Apr 10 10:38:01 2026 commencing in-memory singleton removal Fri Apr 10 10:38:02 2026 begin with 22540308 relations and 24557217 unique ideals Fri Apr 10 10:38:15 2026 reduce to 22056242 relations and 21069225 ideals in 11 passes Fri Apr 10 10:38:15 2026 max relations containing the same ideal: 111 Fri Apr 10 10:38:22 2026 removing 2859699 relations and 2211387 ideals in 648312 cliques Fri Apr 10 10:38:23 2026 commencing in-memory singleton removal Fri Apr 10 10:38:25 2026 begin with 19196543 relations and 21069225 unique ideals Fri Apr 10 10:38:33 2026 reduce to 18898992 relations and 18552156 ideals in 9 passes Fri Apr 10 10:38:33 2026 max relations containing the same ideal: 100 Fri Apr 10 10:38:40 2026 removing 75234 relations and 67103 ideals in 8131 cliques Fri Apr 10 10:38:40 2026 commencing in-memory singleton removal Fri Apr 10 10:38:41 2026 begin with 18823758 relations and 18552156 unique ideals Fri Apr 10 10:38:46 2026 reduce to 18823558 relations and 18484853 ideals in 5 passes Fri Apr 10 10:38:46 2026 max relations containing the same ideal: 99 Fri Apr 10 10:38:50 2026 relations with 0 large ideals: 21187 Fri Apr 10 10:38:50 2026 relations with 1 large ideals: 2705 Fri Apr 10 10:38:50 2026 relations with 2 large ideals: 35426 Fri Apr 10 10:38:50 2026 relations with 3 large ideals: 284839 Fri Apr 10 10:38:50 2026 relations with 4 large ideals: 1227103 Fri Apr 10 10:38:50 2026 relations with 5 large ideals: 3108079 Fri Apr 10 10:38:50 2026 relations with 6 large ideals: 4849090 Fri Apr 10 10:38:50 2026 relations with 7+ large ideals: 9295129 Fri Apr 10 10:38:50 2026 commencing 2-way merge Fri Apr 10 10:38:58 2026 reduce to 11418152 relation sets and 11079447 unique ideals Fri Apr 10 10:38:58 2026 commencing full merge Fri Apr 10 10:42:32 2026 memory use: 1567.3 MB Fri Apr 10 10:42:33 2026 found 5313805 cycles, need 5305647 Fri Apr 10 10:42:34 2026 weight of 5305647 cycles is about 531014717 (100.08/cycle) Fri Apr 10 10:42:34 2026 distribution of cycle lengths: Fri Apr 10 10:42:34 2026 1 relations: 452622 Fri Apr 10 10:42:34 2026 2 relations: 428748 Fri Apr 10 10:42:34 2026 3 relations: 415480 Fri Apr 10 10:42:34 2026 4 relations: 400007 Fri Apr 10 10:42:34 2026 5 relations: 386301 Fri Apr 10 10:42:34 2026 6 relations: 371160 Fri Apr 10 10:42:34 2026 7 relations: 351778 Fri Apr 10 10:42:34 2026 8 relations: 331925 Fri Apr 10 10:42:34 2026 9 relations: 307408 Fri Apr 10 10:42:34 2026 10+ relations: 1860218 Fri Apr 10 10:42:34 2026 heaviest cycle: 28 relations Fri Apr 10 10:42:36 2026 commencing cycle optimization Fri Apr 10 10:42:44 2026 start with 43098679 relations Fri Apr 10 10:43:55 2026 pruned 1463695 relations Fri Apr 10 10:43:55 2026 memory use: 1215.2 MB Fri Apr 10 10:43:55 2026 distribution of cycle lengths: Fri Apr 10 10:43:55 2026 1 relations: 452622 Fri Apr 10 10:43:55 2026 2 relations: 436046 Fri Apr 10 10:43:55 2026 3 relations: 428671 Fri Apr 10 10:43:55 2026 4 relations: 411655 Fri Apr 10 10:43:55 2026 5 relations: 399772 Fri Apr 10 10:43:55 2026 6 relations: 382955 Fri Apr 10 10:43:55 2026 7 relations: 363664 Fri Apr 10 10:43:55 2026 8 relations: 342914 Fri Apr 10 10:43:55 2026 9 relations: 315741 Fri Apr 10 10:43:55 2026 10+ relations: 1771607 Fri Apr 10 10:43:55 2026 heaviest cycle: 28 relations Fri Apr 10 10:44:05 2026 RelProcTime: 3186 Fri Apr 10 10:44:05 2026 elapsed time 00:53:07 Fri Apr 10 10:48:01 2026 Fri Apr 10 10:48:01 2026 Fri Apr 10 10:48:01 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 10 10:48:01 2026 random seeds: 5f923231 b0f95299 Fri Apr 10 10:48:01 2026 factoring 6443126537590097602303326749117240442735221954692859148403872367645598956553489958136978524505307087979559034255169009949798409174544887002124737622450643670730344744533731305356734038084460016025240757813083 (208 digits) Fri Apr 10 10:48:02 2026 no P-1/P+1/ECM available, skipping Fri Apr 10 10:48:02 2026 commencing number field sieve (208-digit input) Fri Apr 10 10:48:02 2026 R0: 66228360725518335023518500541941216247 Fri Apr 10 10:48:02 2026 R1: -1 Fri Apr 10 10:48:02 2026 A0: 1 Fri Apr 10 10:48:02 2026 A1: 1 Fri Apr 10 10:48:02 2026 A2: 1 Fri Apr 10 10:48:02 2026 A3: 1 Fri Apr 10 10:48:02 2026 A4: 1 Fri Apr 10 10:48:02 2026 A5: 1 Fri Apr 10 10:48:02 2026 A6: 1 Fri Apr 10 10:48:02 2026 skew 1.35, size 3.040e-11, alpha 2.428, combined = 1.437e-12 rroots = 0 Fri Apr 10 10:48:02 2026 Fri Apr 10 10:48:02 2026 commencing linear algebra Fri Apr 10 10:48:02 2026 using VBITS=512 Fri Apr 10 10:48:02 2026 read 5305647 cycles Fri Apr 10 10:48:12 2026 cycles contain 18576835 unique relations Fri Apr 10 10:49:24 2026 read 18576835 relations Fri Apr 10 10:49:46 2026 using 20 quadratic characters above 4294917295 Fri Apr 10 10:50:59 2026 building initial matrix Fri Apr 10 10:53:46 2026 memory use: 2282.0 MB Fri Apr 10 10:53:49 2026 read 5305647 cycles Fri Apr 10 10:53:49 2026 matrix is 5305470 x 5305647 (2143.1 MB) with weight 612059006 (115.36/col) Fri Apr 10 10:53:49 2026 sparse part has weight 503433279 (94.89/col) Fri Apr 10 10:54:49 2026 filtering completed in 2 passes Fri Apr 10 10:54:50 2026 matrix is 5305247 x 5305390 (2143.1 MB) with weight 612051199 (115.36/col) Fri Apr 10 10:54:50 2026 sparse part has weight 503430742 (94.89/col) Fri Apr 10 10:55:03 2026 matrix starts at (0, 0) Fri Apr 10 10:55:04 2026 matrix is 5305247 x 5305390 (2143.1 MB) with weight 612051199 (115.36/col) Fri Apr 10 10:55:04 2026 sparse part has weight 503430742 (94.89/col) Fri Apr 10 10:55:04 2026 saving the first 496 matrix rows for later Fri Apr 10 10:55:05 2026 matrix includes 512 packed rows Fri Apr 10 10:55:09 2026 matrix is 5304751 x 5305390 (2046.7 MB) with weight 432589801 (81.54/col) Fri Apr 10 10:55:09 2026 sparse part has weight 409191099 (77.13/col) Fri Apr 10 10:55:09 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Apr 10 10:55:09 2026 selected card has CUDA arch 8.6 Fri Apr 10 10:55:39 2026 commencing Lanczos iteration Fri Apr 10 10:55:40 2026 memory use: 5914.8 MB Fri Apr 10 10:55:58 2026 linear algebra at 0.3%, ETA 1h43m Fri Apr 10 10:55:59 2026 checkpointing every 3010000 dimensions Fri Apr 10 12:39:54 2026 lanczos halted after 10378 iterations (dim = 5304748) Fri Apr 10 12:41:30 2026 recovered 36 nontrivial dependencies Fri Apr 10 12:41:30 2026 BLanczosTime: 6808 Fri Apr 10 12:41:30 2026 elapsed time 01:53:29 Fri Apr 10 13:02:31 2026 Fri Apr 10 13:02:31 2026 Fri Apr 10 13:02:31 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 10 13:02:31 2026 random seeds: 46885be8 b401fe68 Fri Apr 10 13:02:31 2026 factoring 6443126537590097602303326749117240442735221954692859148403872367645598956553489958136978524505307087979559034255169009949798409174544887002124737622450643670730344744533731305356734038084460016025240757813083 (208 digits) Fri Apr 10 13:02:33 2026 no P-1/P+1/ECM available, skipping Fri Apr 10 13:02:33 2026 commencing number field sieve (208-digit input) Fri Apr 10 13:02:33 2026 R0: 66228360725518335023518500541941216247 Fri Apr 10 13:02:33 2026 R1: -1 Fri Apr 10 13:02:33 2026 A0: 1 Fri Apr 10 13:02:33 2026 A1: 1 Fri Apr 10 13:02:33 2026 A2: 1 Fri Apr 10 13:02:33 2026 A3: 1 Fri Apr 10 13:02:33 2026 A4: 1 Fri Apr 10 13:02:33 2026 A5: 1 Fri Apr 10 13:02:33 2026 A6: 1 Fri Apr 10 13:02:33 2026 skew 1.35, size 3.040e-11, alpha 2.428, combined = 1.437e-12 rroots = 0 Fri Apr 10 13:02:33 2026 Fri Apr 10 13:02:33 2026 commencing square root phase Fri Apr 10 13:02:33 2026 reading relations for dependency 1 Fri Apr 10 13:02:33 2026 read 2652796 cycles Fri Apr 10 13:02:39 2026 cycles contain 9290490 unique relations Fri Apr 10 13:03:50 2026 read 9290490 relations Fri Apr 10 13:04:37 2026 multiplying 9290490 relations Fri Apr 10 13:10:24 2026 multiply complete, coefficients have about 223.53 million bits Fri Apr 10 13:10:26 2026 initial square root is modulo 105201337 Fri Apr 10 13:16:57 2026 sqrtTime: 864 Fri Apr 10 13:16:57 2026 p76 factor: 4311454576928960892104136947406190383276385321279862100246538739260690605059 Fri Apr 10 13:16:57 2026 p133 factor: 1494420600432145039522986570891953621220903348418600303477114063588313500202574475259588420188565987536556954899503833699456927880137 Fri Apr 10 13:16:57 2026 elapsed time 00:14:26