Sun Jan 19 10:30:21 2025 Sun Jan 19 10:30:21 2025 Sun Jan 19 10:30:21 2025 Msieve v. 1.54 (SVN unknown) Sun Jan 19 10:30:21 2025 random seeds: ccb6d5ea c840b9c9 Sun Jan 19 10:30:21 2025 factoring 21369198100651037736700773370238922296146750691016532744518187202971729435494772412407710564265259092560923372517331710711843637780329450690769593018124102444359535822573975312682196404250557820654424749825758704305824366657 (224 digits) Sun Jan 19 10:30:22 2025 no P-1/P+1/ECM available, skipping Sun Jan 19 10:30:22 2025 commencing number field sieve (224-digit input) Sun Jan 19 10:30:22 2025 R0: 83917797207710337846804191772008486347 Sun Jan 19 10:30:22 2025 R1: -1 Sun Jan 19 10:30:22 2025 A0: -1 Sun Jan 19 10:30:22 2025 A1: 0 Sun Jan 19 10:30:22 2025 A2: 0 Sun Jan 19 10:30:22 2025 A3: 0 Sun Jan 19 10:30:22 2025 A4: 0 Sun Jan 19 10:30:22 2025 A5: 0 Sun Jan 19 10:30:22 2025 A6: 2803 Sun Jan 19 10:30:22 2025 skew 0.34, size 1.154e-11, alpha 1.374, combined = 7.219e-13 rroots = 2 Sun Jan 19 10:30:22 2025 Sun Jan 19 10:30:22 2025 commencing relation filtering Sun Jan 19 10:30:22 2025 setting target matrix density to 100.0 Sun Jan 19 10:30:22 2025 estimated available RAM is 15954.4 MB Sun Jan 19 10:30:22 2025 commencing duplicate removal, pass 1 Sun Jan 19 10:51:47 2025 skipped 146 relations with b > 2^32 Sun Jan 19 10:51:47 2025 found 4312112 hash collisions in 139040196 relations Sun Jan 19 10:52:10 2025 added 1219246 free relations Sun Jan 19 10:52:10 2025 commencing duplicate removal, pass 2 Sun Jan 19 10:53:07 2025 found 0 duplicates and 140259442 unique relations Sun Jan 19 10:53:07 2025 memory use: 389.2 MB Sun Jan 19 10:53:07 2025 reading ideals above 109772800 Sun Jan 19 10:53:07 2025 commencing singleton removal, initial pass Sun Jan 19 11:08:25 2025 memory use: 3012.0 MB Sun Jan 19 11:08:25 2025 reading all ideals from disk Sun Jan 19 11:08:29 2025 memory use: 2375.0 MB Sun Jan 19 11:08:38 2025 commencing in-memory singleton removal Sun Jan 19 11:08:45 2025 begin with 140259442 relations and 115251465 unique ideals Sun Jan 19 11:10:08 2025 reduce to 89567583 relations and 59442004 ideals in 14 passes Sun Jan 19 11:10:08 2025 max relations containing the same ideal: 37 Sun Jan 19 11:10:15 2025 reading ideals above 720000 Sun Jan 19 11:10:15 2025 commencing singleton removal, initial pass Sun Jan 19 11:24:22 2025 memory use: 1506.0 MB Sun Jan 19 11:24:22 2025 reading all ideals from disk Sun Jan 19 11:24:29 2025 memory use: 3420.3 MB Sun Jan 19 11:24:42 2025 keeping 71563978 ideals with weight <= 200, target excess is 462851 Sun Jan 19 11:24:57 2025 commencing in-memory singleton removal Sun Jan 19 11:25:10 2025 begin with 89567584 relations and 71563978 unique ideals Sun Jan 19 11:26:26 2025 reduce to 89559500 relations and 71555892 ideals in 7 passes Sun Jan 19 11:26:26 2025 max relations containing the same ideal: 200 Sun Jan 19 11:27:22 2025 removing 9479249 relations and 7479249 ideals in 2000000 cliques Sun Jan 19 11:27:27 2025 commencing in-memory singleton removal Sun Jan 19 11:27:35 2025 begin with 80080251 relations and 71555892 unique ideals Sun Jan 19 11:28:37 2025 reduce to 79268599 relations and 63242027 ideals in 8 passes Sun Jan 19 11:28:37 2025 max relations containing the same ideal: 194 Sun Jan 19 11:29:19 2025 removing 7445619 relations and 5445619 ideals in 2000000 cliques Sun Jan 19 11:29:23 2025 commencing in-memory singleton removal Sun Jan 19 11:29:30 2025 begin with 71822980 relations and 63242027 unique ideals Sun Jan 19 11:30:33 2025 reduce to 71258116 relations and 57216835 ideals in 9 passes Sun Jan 19 11:30:33 2025 max relations containing the same ideal: 187 Sun Jan 19 11:31:19 2025 removing 6872097 relations and 4872097 ideals in 2000000 cliques Sun Jan 19 11:31:23 2025 commencing in-memory singleton removal Sun Jan 19 11:31:29 2025 begin with 64386019 relations and 57216835 unique ideals Sun Jan 19 11:32:13 2025 reduce to 63868564 relations and 51813470 ideals in 8 passes Sun Jan 19 11:32:13 2025 max relations containing the same ideal: 173 Sun Jan 19 11:32:46 2025 removing 6592402 relations and 4592402 ideals in 2000000 cliques Sun Jan 19 11:32:50 2025 commencing in-memory singleton removal Sun Jan 19 11:32:57 2025 begin with 57276162 relations and 51813470 unique ideals Sun Jan 19 11:33:32 2025 reduce to 56767294 relations and 46697609 ideals in 6 passes Sun Jan 19 11:33:32 2025 max relations containing the same ideal: 159 Sun Jan 19 11:34:04 2025 removing 6425546 relations and 4425546 ideals in 2000000 cliques Sun Jan 19 11:34:08 2025 commencing in-memory singleton removal Sun Jan 19 11:34:13 2025 begin with 50341748 relations and 46697609 unique ideals Sun Jan 19 11:34:54 2025 reduce to 49819457 relations and 41733145 ideals in 8 passes Sun Jan 19 11:34:54 2025 max relations containing the same ideal: 145 Sun Jan 19 11:35:21 2025 removing 6321396 relations and 4321396 ideals in 2000000 cliques Sun Jan 19 11:35:24 2025 commencing in-memory singleton removal Sun Jan 19 11:35:29 2025 begin with 43498061 relations and 41733145 unique ideals Sun Jan 19 11:35:56 2025 reduce to 42944531 relations and 36838476 ideals in 7 passes Sun Jan 19 11:35:56 2025 max relations containing the same ideal: 133 Sun Jan 19 11:36:21 2025 removing 6251575 relations and 4251575 ideals in 2000000 cliques Sun Jan 19 11:36:24 2025 commencing in-memory singleton removal Sun Jan 19 11:36:27 2025 begin with 36692956 relations and 36838476 unique ideals Sun Jan 19 11:36:49 2025 reduce to 36087904 relations and 31957286 ideals in 7 passes Sun Jan 19 11:36:49 2025 max relations containing the same ideal: 120 Sun Jan 19 11:37:10 2025 removing 6196828 relations and 4196828 ideals in 2000000 cliques Sun Jan 19 11:37:13 2025 commencing in-memory singleton removal Sun Jan 19 11:37:16 2025 begin with 29891076 relations and 31957286 unique ideals Sun Jan 19 11:37:38 2025 reduce to 29205067 relations and 27041778 ideals in 7 passes Sun Jan 19 11:37:38 2025 max relations containing the same ideal: 101 Sun Jan 19 11:38:00 2025 removing 5198637 relations and 3572256 ideals in 1626381 cliques Sun Jan 19 11:38:04 2025 commencing in-memory singleton removal Sun Jan 19 11:38:07 2025 begin with 24006430 relations and 27041778 unique ideals Sun Jan 19 11:38:27 2025 reduce to 23402691 relations and 22836379 ideals in 8 passes Sun Jan 19 11:38:27 2025 max relations containing the same ideal: 89 Sun Jan 19 11:38:39 2025 removing 190100 relations and 160696 ideals in 29404 cliques Sun Jan 19 11:38:41 2025 commencing in-memory singleton removal Sun Jan 19 11:38:43 2025 begin with 23212591 relations and 22836379 unique ideals Sun Jan 19 11:38:53 2025 reduce to 23211591 relations and 22674683 ideals in 5 passes Sun Jan 19 11:38:53 2025 max relations containing the same ideal: 87 Sun Jan 19 11:39:00 2025 relations with 0 large ideals: 16912 Sun Jan 19 11:39:00 2025 relations with 1 large ideals: 7703 Sun Jan 19 11:39:00 2025 relations with 2 large ideals: 81870 Sun Jan 19 11:39:00 2025 relations with 3 large ideals: 563127 Sun Jan 19 11:39:00 2025 relations with 4 large ideals: 2085970 Sun Jan 19 11:39:00 2025 relations with 5 large ideals: 4552883 Sun Jan 19 11:39:00 2025 relations with 6 large ideals: 6198116 Sun Jan 19 11:39:00 2025 relations with 7+ large ideals: 9705010 Sun Jan 19 11:39:00 2025 commencing 2-way merge Sun Jan 19 11:39:18 2025 reduce to 15348777 relation sets and 14811869 unique ideals Sun Jan 19 11:39:18 2025 commencing full merge Sun Jan 19 11:46:29 2025 memory use: 1943.5 MB Sun Jan 19 11:46:31 2025 found 7364302 cycles, need 7304069 Sun Jan 19 11:46:35 2025 weight of 7304069 cycles is about 730441806 (100.00/cycle) Sun Jan 19 11:46:35 2025 distribution of cycle lengths: Sun Jan 19 11:46:35 2025 1 relations: 361542 Sun Jan 19 11:46:35 2025 2 relations: 532336 Sun Jan 19 11:46:35 2025 3 relations: 633071 Sun Jan 19 11:46:35 2025 4 relations: 653265 Sun Jan 19 11:46:35 2025 5 relations: 663874 Sun Jan 19 11:46:35 2025 6 relations: 645091 Sun Jan 19 11:46:35 2025 7 relations: 608214 Sun Jan 19 11:46:35 2025 8 relations: 553256 Sun Jan 19 11:46:35 2025 9 relations: 493445 Sun Jan 19 11:46:35 2025 10+ relations: 2159975 Sun Jan 19 11:46:35 2025 heaviest cycle: 26 relations Sun Jan 19 11:46:38 2025 commencing cycle optimization Sun Jan 19 11:46:55 2025 start with 54962269 relations Sun Jan 19 11:49:09 2025 pruned 2228599 relations Sun Jan 19 11:49:10 2025 memory use: 1535.6 MB Sun Jan 19 11:49:10 2025 distribution of cycle lengths: Sun Jan 19 11:49:10 2025 1 relations: 361542 Sun Jan 19 11:49:10 2025 2 relations: 545879 Sun Jan 19 11:49:10 2025 3 relations: 660254 Sun Jan 19 11:49:10 2025 4 relations: 680215 Sun Jan 19 11:49:10 2025 5 relations: 696684 Sun Jan 19 11:49:10 2025 6 relations: 672867 Sun Jan 19 11:49:10 2025 7 relations: 635164 Sun Jan 19 11:49:10 2025 8 relations: 572354 Sun Jan 19 11:49:10 2025 9 relations: 506028 Sun Jan 19 11:49:10 2025 10+ relations: 1973082 Sun Jan 19 11:49:10 2025 heaviest cycle: 26 relations Sun Jan 19 11:49:30 2025 RelProcTime: 4748 Sun Jan 19 11:49:30 2025 elapsed time 01:19:09 Sun Jan 19 11:55:59 2025 Sun Jan 19 11:55:59 2025 Sun Jan 19 11:55:59 2025 Msieve v. 1.54 (SVN unknown) Sun Jan 19 11:55:59 2025 random seeds: bf3324a8 9d6ab7d8 Sun Jan 19 11:55:59 2025 factoring 21369198100651037736700773370238922296146750691016532744518187202971729435494772412407710564265259092560923372517331710711843637780329450690769593018124102444359535822573975312682196404250557820654424749825758704305824366657 (224 digits) Sun Jan 19 11:56:01 2025 no P-1/P+1/ECM available, skipping Sun Jan 19 11:56:01 2025 commencing number field sieve (224-digit input) Sun Jan 19 11:56:01 2025 R0: 83917797207710337846804191772008486347 Sun Jan 19 11:56:01 2025 R1: -1 Sun Jan 19 11:56:01 2025 A0: -1 Sun Jan 19 11:56:01 2025 A1: 0 Sun Jan 19 11:56:01 2025 A2: 0 Sun Jan 19 11:56:01 2025 A3: 0 Sun Jan 19 11:56:01 2025 A4: 0 Sun Jan 19 11:56:01 2025 A5: 0 Sun Jan 19 11:56:01 2025 A6: 2803 Sun Jan 19 11:56:01 2025 skew 0.34, size 1.154e-11, alpha 1.374, combined = 7.219e-13 rroots = 2 Sun Jan 19 11:56:01 2025 Sun Jan 19 11:56:01 2025 commencing linear algebra Sun Jan 19 11:56:01 2025 using VBITS=256 Sun Jan 19 11:56:02 2025 read 7304069 cycles Sun Jan 19 11:56:23 2025 cycles contain 22925414 unique relations Sun Jan 19 11:58:50 2025 read 22925414 relations Sun Jan 19 11:59:42 2025 using 20 quadratic characters above 4294917295 Sun Jan 19 12:02:14 2025 building initial matrix Sun Jan 19 12:08:27 2025 memory use: 2935.1 MB Sun Jan 19 12:08:31 2025 read 7304069 cycles Sun Jan 19 12:08:33 2025 matrix is 7303892 x 7304069 (2933.8 MB) with weight 848976195 (116.23/col) Sun Jan 19 12:08:33 2025 sparse part has weight 688725084 (94.29/col) Sun Jan 19 12:10:23 2025 filtering completed in 2 passes Sun Jan 19 12:10:26 2025 matrix is 7303405 x 7303578 (2933.7 MB) with weight 848957821 (116.24/col) Sun Jan 19 12:10:26 2025 sparse part has weight 688717374 (94.30/col) Sun Jan 19 12:10:54 2025 matrix starts at (0, 0) Sun Jan 19 12:10:56 2025 matrix is 7303405 x 7303578 (2933.7 MB) with weight 848957821 (116.24/col) Sun Jan 19 12:10:56 2025 sparse part has weight 688717374 (94.30/col) Sun Jan 19 12:10:56 2025 saving the first 240 matrix rows for later Sun Jan 19 12:10:59 2025 matrix includes 256 packed rows Sun Jan 19 12:11:04 2025 matrix is 7303165 x 7303578 (2702.4 MB) with weight 627336514 (85.89/col) Sun Jan 19 12:11:04 2025 sparse part has weight 591563628 (81.00/col) Sun Jan 19 12:11:04 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Jan 19 12:11:04 2025 selected card has CUDA arch 8.6 Sun Jan 19 12:12:09 2025 Sun Jan 19 12:12:10 2025 Sun Jan 19 12:12:10 2025 Msieve v. 1.54 (SVN unknown) Sun Jan 19 12:12:10 2025 random seeds: 1158bc43 313ce266 Sun Jan 19 12:12:10 2025 factoring 21369198100651037736700773370238922296146750691016532744518187202971729435494772412407710564265259092560923372517331710711843637780329450690769593018124102444359535822573975312682196404250557820654424749825758704305824366657 (224 digits) Sun Jan 19 12:12:11 2025 no P-1/P+1/ECM available, skipping Sun Jan 19 12:12:11 2025 commencing number field sieve (224-digit input) Sun Jan 19 12:12:11 2025 R0: 83917797207710337846804191772008486347 Sun Jan 19 12:12:11 2025 R1: -1 Sun Jan 19 12:12:11 2025 A0: -1 Sun Jan 19 12:12:11 2025 A1: 0 Sun Jan 19 12:12:11 2025 A2: 0 Sun Jan 19 12:12:11 2025 A3: 0 Sun Jan 19 12:12:11 2025 A4: 0 Sun Jan 19 12:12:11 2025 A5: 0 Sun Jan 19 12:12:11 2025 A6: 2803 Sun Jan 19 12:12:11 2025 skew 0.34, size 1.154e-11, alpha 1.374, combined = 7.219e-13 rroots = 2 Sun Jan 19 12:12:11 2025 Sun Jan 19 12:12:11 2025 commencing linear algebra Sun Jan 19 12:12:11 2025 using VBITS=256 Sun Jan 19 12:12:11 2025 skipping matrix build Sun Jan 19 12:12:18 2025 matrix starts at (0, 0) Sun Jan 19 12:12:20 2025 matrix is 7303405 x 7303578 (2933.7 MB) with weight 848957821 (116.24/col) Sun Jan 19 12:12:20 2025 sparse part has weight 688717374 (94.30/col) Sun Jan 19 12:12:20 2025 saving the first 240 matrix rows for later Sun Jan 19 12:12:23 2025 matrix includes 256 packed rows Sun Jan 19 12:12:27 2025 matrix is 7303165 x 7303578 (2702.4 MB) with weight 627336514 (85.89/col) Sun Jan 19 12:12:27 2025 sparse part has weight 591563628 (81.00/col) Sun Jan 19 12:12:27 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Jan 19 12:12:27 2025 selected card has CUDA arch 8.6 Sun Jan 19 12:13:36 2025 commencing Lanczos iteration Sun Jan 19 12:13:37 2025 memory use: 6407.8 MB Sun Jan 19 12:13:49 2025 linear algebra at 0.1%, ETA 3h10m Sun Jan 19 12:13:50 2025 checkpointing every 2200000 dimensions Sun Jan 19 15:31:01 2025 lanczos halted after 28615 iterations (dim = 7303164) Sun Jan 19 15:31:52 2025 recovered 35 nontrivial dependencies Sun Jan 19 15:31:53 2025 BLanczosTime: 11982 Sun Jan 19 15:31:53 2025 Sun Jan 19 15:31:53 2025 commencing square root phase Sun Jan 19 15:31:53 2025 handling dependencies 1 to 64 Sun Jan 19 15:31:53 2025 reading relations for dependency 1 Sun Jan 19 15:31:55 2025 read 3653045 cycles Sun Jan 19 15:32:04 2025 cycles contain 11466734 unique relations Sun Jan 19 15:33:41 2025 read 11466734 relations Sun Jan 19 15:35:07 2025 multiplying 11466734 relations Sun Jan 19 15:51:24 2025 multiply complete, coefficients have about 402.69 million bits Sun Jan 19 15:51:27 2025 initial square root is modulo 16811161 Sun Jan 19 16:09:59 2025 GCD is 1, no factor found Sun Jan 19 16:09:59 2025 reading relations for dependency 2 Sun Jan 19 16:10:00 2025 read 3653994 cycles Sun Jan 19 16:10:10 2025 cycles contain 11462950 unique relations Sun Jan 19 16:11:43 2025 read 11462950 relations Sun Jan 19 16:13:06 2025 multiplying 11462950 relations Sun Jan 19 16:29:31 2025 multiply complete, coefficients have about 402.56 million bits Sun Jan 19 16:29:33 2025 initial square root is modulo 16719427 Sun Jan 19 16:46:55 2025 GCD is 1, no factor found Sun Jan 19 16:46:55 2025 reading relations for dependency 3 Sun Jan 19 16:46:56 2025 read 3653509 cycles Sun Jan 19 16:47:06 2025 cycles contain 11467752 unique relations Sun Jan 19 16:48:38 2025 read 11467752 relations Sun Jan 19 16:50:01 2025 multiplying 11467752 relations Sun Jan 19 17:06:01 2025 multiply complete, coefficients have about 402.73 million bits Sun Jan 19 17:06:03 2025 initial square root is modulo 16839457 Sun Jan 19 17:24:25 2025 GCD is N, no factor found Sun Jan 19 17:24:25 2025 reading relations for dependency 4 Sun Jan 19 17:24:27 2025 read 3650724 cycles Sun Jan 19 17:24:39 2025 cycles contain 11456226 unique relations Sun Jan 19 17:26:11 2025 read 11456226 relations Sun Jan 19 17:27:39 2025 multiplying 11456226 relations Sun Jan 19 17:43:49 2025 multiply complete, coefficients have about 402.31 million bits Sun Jan 19 17:43:52 2025 initial square root is modulo 16549843 Sun Jan 19 18:02:10 2025 GCD is N, no factor found Sun Jan 19 18:02:10 2025 reading relations for dependency 5 Sun Jan 19 18:02:11 2025 read 3653104 cycles Sun Jan 19 18:02:17 2025 cycles contain 11467422 unique relations Sun Jan 19 18:03:16 2025 read 11467422 relations Sun Jan 19 18:04:42 2025 multiplying 11467422 relations Sun Jan 19 18:20:42 2025 multiply complete, coefficients have about 402.71 million bits Sun Jan 19 18:20:45 2025 initial square root is modulo 16825663 Sun Jan 19 18:39:17 2025 GCD is 1, no factor found Sun Jan 19 18:39:17 2025 reading relations for dependency 6 Sun Jan 19 18:39:18 2025 read 3656192 cycles Sun Jan 19 18:39:27 2025 cycles contain 11472334 unique relations Sun Jan 19 18:41:04 2025 read 11472334 relations Sun Jan 19 18:42:27 2025 multiplying 11472334 relations Sun Jan 19 18:58:56 2025 multiply complete, coefficients have about 402.88 million bits Sun Jan 19 18:58:58 2025 initial square root is modulo 16944331 Sun Jan 19 19:16:45 2025 GCD is N, no factor found Sun Jan 19 19:16:45 2025 reading relations for dependency 7 Sun Jan 19 19:16:47 2025 read 3650924 cycles Sun Jan 19 19:16:54 2025 cycles contain 11461058 unique relations Sun Jan 19 19:18:31 2025 read 11461058 relations Sun Jan 19 19:19:58 2025 multiplying 11461058 relations Sun Jan 19 19:30:54 2025 multiply complete, coefficients have about 402.50 million bits Sun Jan 19 19:30:56 2025 initial square root is modulo 16675159 Sun Jan 19 19:44:21 2025 sqrtTime: 15148 Sun Jan 19 19:44:21 2025 p98 factor: 15681784571912475278226057632496383628831983510036002987378687038148600092326627480063624610086029 Sun Jan 19 19:44:21 2025 p127 factor: 1362676422613612831070202316814437353773923122101710120169431696808468708477166799269878779651217894891222275035176251038611333 Sun Jan 19 19:44:21 2025 elapsed time 07:32:11