Thu Jul 6 06:33:49 2023 Thu Jul 6 06:33:49 2023 Thu Jul 6 06:33:49 2023 Msieve v. 1.54 (SVN Unversioned directory) Thu Jul 6 06:33:49 2023 random seeds: 4d657c86 04f47074 Thu Jul 6 06:33:49 2023 factoring 2055008762390887412201134146573854252864847103047727376558983294280362708729381429291340201760134241096039662094537604804032675787568424244943606391376779416720942872518437520262494327150345443631171426706301 (208 digits) Thu Jul 6 06:33:49 2023 no P-1/P+1/ECM available, skipping Thu Jul 6 06:33:49 2023 commencing number field sieve (208-digit input) Thu Jul 6 06:33:49 2023 R0: 40392199475388229022149792822424809921 Thu Jul 6 06:33:49 2023 R1: -1 Thu Jul 6 06:33:49 2023 A0: -1361 Thu Jul 6 06:33:49 2023 A1: 0 Thu Jul 6 06:33:49 2023 A2: 0 Thu Jul 6 06:33:49 2023 A3: 0 Thu Jul 6 06:33:49 2023 A4: 0 Thu Jul 6 06:33:49 2023 A5: 0 Thu Jul 6 06:33:49 2023 A6: 1 Thu Jul 6 06:33:49 2023 skew 3.33, size 2.004e-11, alpha 1.798, combined = 1.071e-12 rroots = 2 Thu Jul 6 06:33:49 2023 Thu Jul 6 06:33:49 2023 commencing relation filtering Thu Jul 6 06:33:49 2023 setting target matrix density to 120.0 Thu Jul 6 06:33:49 2023 estimated available RAM is 15960.0 MB Thu Jul 6 06:33:49 2023 commencing duplicate removal, pass 1 Thu Jul 6 06:49:13 2023 skipped 1 relations with b > 2^32 Thu Jul 6 06:49:13 2023 skipped 1 relations with composite factors Thu Jul 6 06:49:13 2023 found 4741779 hash collisions in 104154874 relations Thu Jul 6 06:49:35 2023 added 1219189 free relations Thu Jul 6 06:49:35 2023 commencing duplicate removal, pass 2 Thu Jul 6 06:50:04 2023 found 0 duplicates and 105374063 unique relations Thu Jul 6 06:50:04 2023 memory use: 261.2 MB Thu Jul 6 06:50:04 2023 reading ideals above 87883776 Thu Jul 6 06:50:04 2023 commencing singleton removal, initial pass Thu Jul 6 07:00:24 2023 memory use: 2756.0 MB Thu Jul 6 07:00:24 2023 reading all ideals from disk Thu Jul 6 07:00:29 2023 memory use: 1795.4 MB Thu Jul 6 07:00:33 2023 commencing in-memory singleton removal Thu Jul 6 07:00:37 2023 begin with 105374063 relations and 83267027 unique ideals Thu Jul 6 07:01:22 2023 reduce to 73272316 relations and 48234103 ideals in 13 passes Thu Jul 6 07:01:22 2023 max relations containing the same ideal: 37 Thu Jul 6 07:01:26 2023 reading ideals above 720000 Thu Jul 6 07:01:27 2023 commencing singleton removal, initial pass Thu Jul 6 07:10:22 2023 memory use: 1506.0 MB Thu Jul 6 07:10:22 2023 reading all ideals from disk Thu Jul 6 07:10:30 2023 memory use: 2765.3 MB Thu Jul 6 07:10:37 2023 keeping 58066028 ideals with weight <= 200, target excess is 373414 Thu Jul 6 07:10:46 2023 commencing in-memory singleton removal Thu Jul 6 07:10:52 2023 begin with 73272317 relations and 58066028 unique ideals Thu Jul 6 07:11:33 2023 reduce to 73268974 relations and 58062684 ideals in 7 passes Thu Jul 6 07:11:33 2023 max relations containing the same ideal: 200 Thu Jul 6 07:12:05 2023 removing 8541628 relations and 6541628 ideals in 2000000 cliques Thu Jul 6 07:12:09 2023 commencing in-memory singleton removal Thu Jul 6 07:12:15 2023 begin with 64727346 relations and 58062684 unique ideals Thu Jul 6 07:12:55 2023 reduce to 63868594 relations and 50632440 ideals in 8 passes Thu Jul 6 07:12:55 2023 max relations containing the same ideal: 194 Thu Jul 6 07:13:24 2023 removing 6863661 relations and 4863661 ideals in 2000000 cliques Thu Jul 6 07:13:28 2023 commencing in-memory singleton removal Thu Jul 6 07:13:32 2023 begin with 57004933 relations and 50632440 unique ideals Thu Jul 6 07:14:06 2023 reduce to 56397700 relations and 45142275 ideals in 8 passes Thu Jul 6 07:14:06 2023 max relations containing the same ideal: 181 Thu Jul 6 07:14:31 2023 removing 6396818 relations and 4396818 ideals in 2000000 cliques Thu Jul 6 07:14:34 2023 commencing in-memory singleton removal Thu Jul 6 07:14:38 2023 begin with 50000882 relations and 45142275 unique ideals Thu Jul 6 07:15:04 2023 reduce to 49438408 relations and 40164103 ideals in 7 passes Thu Jul 6 07:15:04 2023 max relations containing the same ideal: 164 Thu Jul 6 07:15:26 2023 removing 6172794 relations and 4172794 ideals in 2000000 cliques Thu Jul 6 07:15:29 2023 commencing in-memory singleton removal Thu Jul 6 07:15:33 2023 begin with 43265614 relations and 40164103 unique ideals Thu Jul 6 07:16:00 2023 reduce to 42699067 relations and 35403883 ideals in 9 passes Thu Jul 6 07:16:00 2023 max relations containing the same ideal: 149 Thu Jul 6 07:16:19 2023 removing 6046047 relations and 4046047 ideals in 2000000 cliques Thu Jul 6 07:16:22 2023 commencing in-memory singleton removal Thu Jul 6 07:16:25 2023 begin with 36653020 relations and 35403883 unique ideals Thu Jul 6 07:16:42 2023 reduce to 36057216 relations and 30737256 ideals in 7 passes Thu Jul 6 07:16:42 2023 max relations containing the same ideal: 133 Thu Jul 6 07:16:58 2023 removing 5965117 relations and 3965117 ideals in 2000000 cliques Thu Jul 6 07:17:00 2023 commencing in-memory singleton removal Thu Jul 6 07:17:03 2023 begin with 30092099 relations and 30737256 unique ideals Thu Jul 6 07:17:19 2023 reduce to 29437284 relations and 26085560 ideals in 8 passes Thu Jul 6 07:17:19 2023 max relations containing the same ideal: 118 Thu Jul 6 07:17:32 2023 removing 5902012 relations and 3902012 ideals in 2000000 cliques Thu Jul 6 07:17:34 2023 commencing in-memory singleton removal Thu Jul 6 07:17:36 2023 begin with 23535272 relations and 26085560 unique ideals Thu Jul 6 07:17:50 2023 reduce to 22784055 relations and 21387269 ideals in 9 passes Thu Jul 6 07:17:50 2023 max relations containing the same ideal: 101 Thu Jul 6 07:17:59 2023 removing 3243215 relations and 2279590 ideals in 963625 cliques Thu Jul 6 07:18:01 2023 commencing in-memory singleton removal Thu Jul 6 07:18:02 2023 begin with 19540840 relations and 21387269 unique ideals Thu Jul 6 07:18:11 2023 reduce to 19219571 relations and 18774129 ideals in 8 passes Thu Jul 6 07:18:11 2023 max relations containing the same ideal: 89 Thu Jul 6 07:18:20 2023 removing 80730 relations and 68449 ideals in 12281 cliques Thu Jul 6 07:18:21 2023 commencing in-memory singleton removal Thu Jul 6 07:18:23 2023 begin with 19138841 relations and 18774129 unique ideals Thu Jul 6 07:18:27 2023 reduce to 19138639 relations and 18705478 ideals in 4 passes Thu Jul 6 07:18:27 2023 max relations containing the same ideal: 88 Thu Jul 6 07:18:31 2023 relations with 0 large ideals: 13164 Thu Jul 6 07:18:31 2023 relations with 1 large ideals: 6291 Thu Jul 6 07:18:31 2023 relations with 2 large ideals: 55621 Thu Jul 6 07:18:31 2023 relations with 3 large ideals: 398569 Thu Jul 6 07:18:31 2023 relations with 4 large ideals: 1541000 Thu Jul 6 07:18:31 2023 relations with 5 large ideals: 3532547 Thu Jul 6 07:18:31 2023 relations with 6 large ideals: 5047067 Thu Jul 6 07:18:31 2023 relations with 7+ large ideals: 8544380 Thu Jul 6 07:18:31 2023 commencing 2-way merge Thu Jul 6 07:18:42 2023 reduce to 12901543 relation sets and 12468382 unique ideals Thu Jul 6 07:18:42 2023 commencing full merge Thu Jul 6 07:24:01 2023 memory use: 1706.2 MB Thu Jul 6 07:24:03 2023 found 5773396 cycles, need 5772582 Thu Jul 6 07:24:05 2023 weight of 5772582 cycles is about 693361870 (120.11/cycle) Thu Jul 6 07:24:05 2023 distribution of cycle lengths: Thu Jul 6 07:24:05 2023 1 relations: 166880 Thu Jul 6 07:24:05 2023 2 relations: 297216 Thu Jul 6 07:24:05 2023 3 relations: 378886 Thu Jul 6 07:24:05 2023 4 relations: 406950 Thu Jul 6 07:24:05 2023 5 relations: 427143 Thu Jul 6 07:24:05 2023 6 relations: 429717 Thu Jul 6 07:24:05 2023 7 relations: 424084 Thu Jul 6 07:24:05 2023 8 relations: 408199 Thu Jul 6 07:24:05 2023 9 relations: 383208 Thu Jul 6 07:24:05 2023 10+ relations: 2450299 Thu Jul 6 07:24:05 2023 heaviest cycle: 28 relations Thu Jul 6 07:24:06 2023 commencing cycle optimization Thu Jul 6 07:24:18 2023 start with 53837910 relations Thu Jul 6 07:26:27 2023 pruned 2746111 relations Thu Jul 6 07:26:27 2023 memory use: 1353.9 MB Thu Jul 6 07:26:27 2023 distribution of cycle lengths: Thu Jul 6 07:26:27 2023 1 relations: 166880 Thu Jul 6 07:26:27 2023 2 relations: 305340 Thu Jul 6 07:26:27 2023 3 relations: 396058 Thu Jul 6 07:26:27 2023 4 relations: 425906 Thu Jul 6 07:26:27 2023 5 relations: 451078 Thu Jul 6 07:26:27 2023 6 relations: 453631 Thu Jul 6 07:26:27 2023 7 relations: 449512 Thu Jul 6 07:26:27 2023 8 relations: 429554 Thu Jul 6 07:26:27 2023 9 relations: 403536 Thu Jul 6 07:26:27 2023 10+ relations: 2291087 Thu Jul 6 07:26:27 2023 heaviest cycle: 28 relations Thu Jul 6 07:26:39 2023 RelProcTime: 3170 Thu Jul 6 07:26:39 2023 elapsed time 00:52:50 Thu Jul 6 08:26:33 2023 Thu Jul 6 08:26:33 2023 Thu Jul 6 08:26:33 2023 Msieve v. 1.54 (SVN Unversioned directory) Thu Jul 6 08:26:33 2023 random seeds: c093a85a 5e6c7a5c Thu Jul 6 08:26:33 2023 factoring 2055008762390887412201134146573854252864847103047727376558983294280362708729381429291340201760134241096039662094537604804032675787568424244943606391376779416720942872518437520262494327150345443631171426706301 (208 digits) Thu Jul 6 08:26:34 2023 no P-1/P+1/ECM available, skipping Thu Jul 6 08:26:34 2023 commencing number field sieve (208-digit input) Thu Jul 6 08:26:34 2023 R0: 40392199475388229022149792822424809921 Thu Jul 6 08:26:34 2023 R1: -1 Thu Jul 6 08:26:34 2023 A0: -1361 Thu Jul 6 08:26:34 2023 A1: 0 Thu Jul 6 08:26:34 2023 A2: 0 Thu Jul 6 08:26:34 2023 A3: 0 Thu Jul 6 08:26:34 2023 A4: 0 Thu Jul 6 08:26:34 2023 A5: 0 Thu Jul 6 08:26:34 2023 A6: 1 Thu Jul 6 08:26:34 2023 skew 3.33, size 2.004e-11, alpha 1.798, combined = 1.071e-12 rroots = 2 Thu Jul 6 08:26:34 2023 Thu Jul 6 08:26:34 2023 commencing linear algebra Thu Jul 6 08:26:34 2023 using VBITS=512 Thu Jul 6 08:26:34 2023 read 5772582 cycles Thu Jul 6 08:26:43 2023 cycles contain 18920652 unique relations Thu Jul 6 08:28:07 2023 read 18920652 relations Thu Jul 6 08:28:28 2023 using 20 quadratic characters above 4294917295 Thu Jul 6 08:29:42 2023 building initial matrix Thu Jul 6 08:33:24 2023 memory use: 2409.8 MB Thu Jul 6 08:33:26 2023 read 5772582 cycles Thu Jul 6 08:33:26 2023 matrix is 5772405 x 5772582 (2693.5 MB) with weight 774967747 (134.25/col) Thu Jul 6 08:33:26 2023 sparse part has weight 642578272 (111.32/col) Thu Jul 6 08:34:31 2023 filtering completed in 2 passes Thu Jul 6 08:34:32 2023 matrix is 5772381 x 5772547 (2693.5 MB) with weight 774966884 (134.25/col) Thu Jul 6 08:34:32 2023 sparse part has weight 642578069 (111.32/col) Thu Jul 6 08:34:46 2023 matrix starts at (0, 0) Thu Jul 6 08:34:46 2023 matrix is 5772381 x 5772547 (2693.5 MB) with weight 774966884 (134.25/col) Thu Jul 6 08:34:46 2023 sparse part has weight 642578069 (111.32/col) Thu Jul 6 08:34:46 2023 saving the first 496 matrix rows for later Thu Jul 6 08:34:48 2023 matrix includes 512 packed rows Thu Jul 6 08:34:51 2023 matrix is 5771885 x 5772547 (2551.3 MB) with weight 560145097 (97.04/col) Thu Jul 6 08:34:51 2023 sparse part has weight 530260933 (91.86/col) Thu Jul 6 08:34:52 2023 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Jul 6 08:34:52 2023 selected card has CUDA arch 8.6 Thu Jul 6 08:35:26 2023 commencing Lanczos iteration Thu Jul 6 08:35:27 2023 memory use: 6996.3 MB Thu Jul 6 08:35:49 2023 linear algebra at 0.3%, ETA 2h17m Thu Jul 6 08:35:49 2023 checkpointing every 2600000 dimensions Thu Jul 6 10:48:28 2023 lanczos halted after 11292 iterations (dim = 5771881) Thu Jul 6 10:49:54 2023 recovered 32 nontrivial dependencies Thu Jul 6 10:49:54 2023 BLanczosTime: 8600 Thu Jul 6 10:49:54 2023 Thu Jul 6 10:49:54 2023 commencing square root phase Thu Jul 6 10:49:54 2023 handling dependencies 1 to 64 Thu Jul 6 10:49:54 2023 reading relations for dependency 1 Thu Jul 6 10:49:55 2023 read 2887212 cycles Thu Jul 6 10:50:00 2023 cycles contain 9464086 unique relations Thu Jul 6 10:50:48 2023 read 9464086 relations Thu Jul 6 10:51:30 2023 multiplying 9464086 relations Thu Jul 6 10:56:16 2023 multiply complete, coefficients have about 239.42 million bits Thu Jul 6 10:56:17 2023 initial square root is modulo 391065313 Thu Jul 6 11:05:09 2023 found factor: 599090078372031024608453138886817397755175017021378948081 Thu Jul 6 11:05:09 2023 reading relations for dependency 2 Thu Jul 6 11:05:10 2023 read 2884855 cycles Thu Jul 6 11:05:19 2023 cycles contain 9457640 unique relations Thu Jul 6 11:06:30 2023 read 9457640 relations Thu Jul 6 11:07:32 2023 multiplying 9457640 relations Thu Jul 6 11:15:47 2023 multiply complete, coefficients have about 239.26 million bits Thu Jul 6 11:15:48 2023 initial square root is modulo 385752667 Thu Jul 6 11:25:22 2023 sqrtTime: 2128 Thu Jul 6 11:25:22 2023 p53 factor: 17772297651159216394505885381968853681062839319492853 Thu Jul 6 11:25:22 2023 p57 factor: 599090078372031024608453138886817397755175017021378948081 Thu Jul 6 11:25:22 2023 p99 factor: 193009183084455733256739552231220508940143291495179563874576718186476281425081941554271401151672057 Thu Jul 6 11:25:22 2023 elapsed time 02:58:49