Sat Dec 4 20:34:16 2021 Sat Dec 4 20:34:16 2021 Sat Dec 4 20:34:16 2021 Msieve v. 1.54 (SVN 1043M) Sat Dec 4 20:34:16 2021 random seeds: d40fbe62 9315be45 Sat Dec 4 20:34:16 2021 factoring 12041983552245601159124531481267863591767382312613346376538483173283302866095231676693105624036073901339045136358538747184222438586536575877858834065774928478569561 (164 digits) Sat Dec 4 20:34:17 2021 searching for 15-digit factors Sat Dec 4 20:34:18 2021 commencing number field sieve (164-digit input) Sat Dec 4 20:34:18 2021 R0: -38222784567938835690655797058706 Sat Dec 4 20:34:18 2021 R1: 43599550927613681 Sat Dec 4 20:34:18 2021 A0: 16396081366503440503003785327441847638735 Sat Dec 4 20:34:18 2021 A1: 19500104622431381844689569188248083 Sat Dec 4 20:34:18 2021 A2: -5824446602172513599329436849 Sat Dec 4 20:34:18 2021 A3: 264245510837205785505 Sat Dec 4 20:34:18 2021 A4: 17552094284262 Sat Dec 4 20:34:18 2021 A5: 147600 Sat Dec 4 20:34:18 2021 skew 18053065.66, size 6.274e-16, alpha -8.190, combined = 8.356e-13 rroots = 3 Sat Dec 4 20:34:18 2021 Sat Dec 4 20:34:18 2021 commencing relation filtering Sat Dec 4 20:34:18 2021 setting target matrix density to 140.0 Sat Dec 4 20:34:18 2021 estimated available RAM is 31368.2 MB Sat Dec 4 20:34:18 2021 commencing duplicate removal, pass 1 Sat Dec 4 21:06:18 2021 found 4950652 hash collisions in 106505798 relations Sat Dec 4 21:06:50 2021 added 122901 free relations Sat Dec 4 21:06:50 2021 commencing duplicate removal, pass 2 Sat Dec 4 21:21:52 2021 found 2 duplicates and 106628697 unique relations Sat Dec 4 21:21:52 2021 memory use: 261.2 MB Sat Dec 4 21:21:52 2021 reading ideals above 720000 Sat Dec 4 21:21:52 2021 commencing singleton removal, initial pass Sat Dec 4 21:45:44 2021 memory use: 2756.0 MB Sat Dec 4 21:45:44 2021 reading all ideals from disk Sat Dec 4 21:46:20 2021 memory use: 4028.6 MB Sat Dec 4 21:46:33 2021 keeping 92246342 ideals with weight <= 200, target excess is 566568 Sat Dec 4 21:46:50 2021 commencing in-memory singleton removal Sat Dec 4 21:47:02 2021 begin with 106628697 relations and 92246342 unique ideals Sat Dec 4 21:49:32 2021 reduce to 74777296 relations and 57591922 ideals in 12 passes Sat Dec 4 21:49:32 2021 max relations containing the same ideal: 167 Sat Dec 4 21:50:18 2021 removing 8289286 relations and 6289286 ideals in 2000000 cliques Sat Dec 4 21:50:23 2021 commencing in-memory singleton removal Sat Dec 4 21:50:31 2021 begin with 66488010 relations and 57591922 unique ideals Sat Dec 4 21:51:42 2021 reduce to 65785258 relations and 50577579 ideals in 8 passes Sat Dec 4 21:51:42 2021 max relations containing the same ideal: 156 Sat Dec 4 21:52:23 2021 removing 6568564 relations and 4568564 ideals in 2000000 cliques Sat Dec 4 21:52:28 2021 commencing in-memory singleton removal Sat Dec 4 21:52:34 2021 begin with 59216694 relations and 50577579 unique ideals Sat Dec 4 21:53:33 2021 reduce to 58726201 relations and 45503777 ideals in 7 passes Sat Dec 4 21:53:33 2021 max relations containing the same ideal: 144 Sat Dec 4 21:54:08 2021 removing 6104073 relations and 4104073 ideals in 2000000 cliques Sat Dec 4 21:54:13 2021 commencing in-memory singleton removal Sat Dec 4 21:54:17 2021 begin with 52622128 relations and 45503777 unique ideals Sat Dec 4 21:55:06 2021 reduce to 52181400 relations and 40945418 ideals in 7 passes Sat Dec 4 21:55:06 2021 max relations containing the same ideal: 132 Sat Dec 4 21:55:35 2021 removing 5870343 relations and 3870343 ideals in 2000000 cliques Sat Dec 4 21:55:38 2021 commencing in-memory singleton removal Sat Dec 4 21:55:43 2021 begin with 46311057 relations and 40945418 unique ideals Sat Dec 4 21:56:16 2021 reduce to 45883669 relations and 36633103 ideals in 6 passes Sat Dec 4 21:56:16 2021 max relations containing the same ideal: 124 Sat Dec 4 21:56:42 2021 removing 5723786 relations and 3723786 ideals in 2000000 cliques Sat Dec 4 21:56:46 2021 commencing in-memory singleton removal Sat Dec 4 21:56:49 2021 begin with 40159883 relations and 36633103 unique ideals Sat Dec 4 21:57:20 2021 reduce to 39722392 relations and 32455716 ideals in 6 passes Sat Dec 4 21:57:20 2021 max relations containing the same ideal: 114 Sat Dec 4 21:57:39 2021 removing 5622949 relations and 3622949 ideals in 2000000 cliques Sat Dec 4 21:57:43 2021 commencing in-memory singleton removal Sat Dec 4 21:57:45 2021 begin with 34099443 relations and 32455716 unique ideals Sat Dec 4 21:58:10 2021 reduce to 33634926 relations and 28348775 ideals in 6 passes Sat Dec 4 21:58:10 2021 max relations containing the same ideal: 101 Sat Dec 4 21:58:29 2021 removing 5554016 relations and 3554016 ideals in 2000000 cliques Sat Dec 4 21:58:32 2021 commencing in-memory singleton removal Sat Dec 4 21:58:34 2021 begin with 28080910 relations and 28348775 unique ideals Sat Dec 4 21:58:58 2021 reduce to 27559957 relations and 24247872 ideals in 7 passes Sat Dec 4 21:58:58 2021 max relations containing the same ideal: 85 Sat Dec 4 21:59:14 2021 removing 5507390 relations and 3507390 ideals in 2000000 cliques Sat Dec 4 21:59:17 2021 commencing in-memory singleton removal Sat Dec 4 21:59:18 2021 begin with 22052567 relations and 24247872 unique ideals Sat Dec 4 21:59:32 2021 reduce to 21416059 relations and 20066129 ideals in 7 passes Sat Dec 4 21:59:32 2021 max relations containing the same ideal: 72 Sat Dec 4 21:59:43 2021 removing 2310430 relations and 1617719 ideals in 692711 cliques Sat Dec 4 21:59:45 2021 commencing in-memory singleton removal Sat Dec 4 21:59:47 2021 begin with 19105629 relations and 20066129 unique ideals Sat Dec 4 22:00:02 2021 reduce to 18919091 relations and 18256392 ideals in 7 passes Sat Dec 4 22:00:02 2021 max relations containing the same ideal: 68 Sat Dec 4 22:00:16 2021 relations with 0 large ideals: 1821 Sat Dec 4 22:00:16 2021 relations with 1 large ideals: 12553 Sat Dec 4 22:00:16 2021 relations with 2 large ideals: 162598 Sat Dec 4 22:00:16 2021 relations with 3 large ideals: 915538 Sat Dec 4 22:00:16 2021 relations with 4 large ideals: 2716384 Sat Dec 4 22:00:16 2021 relations with 5 large ideals: 4717223 Sat Dec 4 22:00:16 2021 relations with 6 large ideals: 5103587 Sat Dec 4 22:00:16 2021 relations with 7+ large ideals: 5289387 Sat Dec 4 22:00:16 2021 commencing 2-way merge Sat Dec 4 22:00:30 2021 reduce to 12976850 relation sets and 12314151 unique ideals Sat Dec 4 22:00:30 2021 commencing full merge Sat Dec 4 22:06:03 2021 memory use: 1543.0 MB Sat Dec 4 22:06:05 2021 found 5540805 cycles, need 5524351 Sat Dec 4 22:06:08 2021 weight of 5524351 cycles is about 774129579 (140.13/cycle) Sat Dec 4 22:06:08 2021 distribution of cycle lengths: Sat Dec 4 22:06:08 2021 1 relations: 89797 Sat Dec 4 22:06:08 2021 2 relations: 226539 Sat Dec 4 22:06:08 2021 3 relations: 306510 Sat Dec 4 22:06:08 2021 4 relations: 341343 Sat Dec 4 22:06:08 2021 5 relations: 377319 Sat Dec 4 22:06:08 2021 6 relations: 389553 Sat Dec 4 22:06:08 2021 7 relations: 396406 Sat Dec 4 22:06:08 2021 8 relations: 388857 Sat Dec 4 22:06:08 2021 9 relations: 376554 Sat Dec 4 22:06:08 2021 10+ relations: 2631473 Sat Dec 4 22:06:08 2021 heaviest cycle: 28 relations Sat Dec 4 22:06:10 2021 commencing cycle optimization Sat Dec 4 22:06:26 2021 start with 55371512 relations Sat Dec 4 22:08:55 2021 pruned 3284333 relations Sat Dec 4 22:08:55 2021 memory use: 1351.3 MB Sat Dec 4 22:08:55 2021 distribution of cycle lengths: Sat Dec 4 22:08:55 2021 1 relations: 89797 Sat Dec 4 22:08:55 2021 2 relations: 234073 Sat Dec 4 22:08:55 2021 3 relations: 322319 Sat Dec 4 22:08:55 2021 4 relations: 360691 Sat Dec 4 22:08:55 2021 5 relations: 402415 Sat Dec 4 22:08:55 2021 6 relations: 416817 Sat Dec 4 22:08:55 2021 7 relations: 426889 Sat Dec 4 22:08:55 2021 8 relations: 416331 Sat Dec 4 22:08:55 2021 9 relations: 403757 Sat Dec 4 22:08:55 2021 10+ relations: 2451262 Sat Dec 4 22:08:55 2021 heaviest cycle: 28 relations Sat Dec 4 22:09:08 2021 RelProcTime: 5690 Sat Dec 4 22:09:08 2021 elapsed time 01:34:52 Sat Dec 4 22:12:22 2021 Sat Dec 4 22:12:22 2021 Sat Dec 4 22:12:22 2021 Msieve v. 1.54 (SVN 1043M) Sat Dec 4 22:12:22 2021 random seeds: c21fbe66 43343ec1 Sat Dec 4 22:12:22 2021 factoring 12041983552245601159124531481267863591767382312613346376538483173283302866095231676693105624036073901339045136358538747184222438586536575877858834065774928478569561 (164 digits) Sat Dec 4 22:12:23 2021 searching for 15-digit factors Sat Dec 4 22:12:24 2021 commencing number field sieve (164-digit input) Sat Dec 4 22:12:24 2021 R0: -38222784567938835690655797058706 Sat Dec 4 22:12:24 2021 R1: 43599550927613681 Sat Dec 4 22:12:24 2021 A0: 16396081366503440503003785327441847638735 Sat Dec 4 22:12:24 2021 A1: 19500104622431381844689569188248083 Sat Dec 4 22:12:24 2021 A2: -5824446602172513599329436849 Sat Dec 4 22:12:24 2021 A3: 264245510837205785505 Sat Dec 4 22:12:24 2021 A4: 17552094284262 Sat Dec 4 22:12:24 2021 A5: 147600 Sat Dec 4 22:12:24 2021 skew 18053065.66, size 6.274e-16, alpha -8.190, combined = 8.356e-13 rroots = 3 Sat Dec 4 22:12:24 2021 Sat Dec 4 22:12:24 2021 commencing linear algebra Sat Dec 4 22:12:25 2021 read 5524351 cycles Sat Dec 4 22:12:43 2021 cycles contain 18587682 unique relations Sat Dec 4 22:18:57 2021 read 18587682 relations Sat Dec 4 22:19:35 2021 using 20 quadratic characters above 4294917295 Sat Dec 4 22:21:24 2021 building initial matrix Sat Dec 4 22:27:42 2021 memory use: 2663.3 MB Sat Dec 4 22:27:45 2021 read 5524351 cycles Sat Dec 4 22:27:46 2021 matrix is 5524173 x 5524351 (2937.0 MB) with weight 901720568 (163.23/col) Sat Dec 4 22:27:46 2021 sparse part has weight 703627628 (127.37/col) Sat Dec 4 22:29:07 2021 filtering completed in 2 passes Sat Dec 4 22:29:08 2021 matrix is 5524138 x 5524316 (2937.0 MB) with weight 901718668 (163.23/col) Sat Dec 4 22:29:08 2021 sparse part has weight 703627136 (127.37/col) Sat Dec 4 22:29:27 2021 matrix starts at (0, 0) Sat Dec 4 22:29:28 2021 matrix is 5524138 x 5524316 (2937.0 MB) with weight 901718668 (163.23/col) Sat Dec 4 22:29:28 2021 sparse part has weight 703627136 (127.37/col) Sat Dec 4 22:29:28 2021 saving the first 48 matrix rows for later Sat Dec 4 22:29:30 2021 matrix includes 64 packed rows Sat Dec 4 22:29:31 2021 matrix is 5524090 x 5524316 (2872.9 MB) with weight 781556884 (141.48/col) Sat Dec 4 22:29:31 2021 sparse part has weight 697873836 (126.33/col) Sat Dec 4 22:29:31 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB Sat Dec 4 22:30:02 2021 commencing Lanczos iteration Sat Dec 4 22:30:02 2021 memory use: 2642.4 MB Sat Dec 4 22:31:09 2021 lanczos halted after 16 iterations (dim = 1012) Sat Dec 4 22:31:10 2021 BLanczosTime: 1126 Sat Dec 4 22:31:10 2021 elapsed time 00:18:48 Mon Dec 6 07:40:23 2021 Mon Dec 6 07:40:23 2021 Mon Dec 6 07:40:23 2021 Msieve v. 1.54 (SVN unknown) Mon Dec 6 07:40:23 2021 random seeds: a9ac399f 5526fd4e Mon Dec 6 07:40:23 2021 factoring 12041983552245601159124531481267863591767382312613346376538483173283302866095231676693105624036073901339045136358538747184222438586536575877858834065774928478569561 (164 digits) Mon Dec 6 07:40:24 2021 no P-1/P+1/ECM available, skipping Mon Dec 6 07:40:24 2021 commencing number field sieve (164-digit input) Mon Dec 6 07:40:24 2021 R0: -38222784567938835690655797058706 Mon Dec 6 07:40:24 2021 R1: 43599550927613681 Mon Dec 6 07:40:24 2021 A0: 16396081366503440503003785327441847638735 Mon Dec 6 07:40:24 2021 A1: 19500104622431381844689569188248083 Mon Dec 6 07:40:24 2021 A2: -5824446602172513599329436849 Mon Dec 6 07:40:24 2021 A3: 264245510837205785505 Mon Dec 6 07:40:24 2021 A4: 17552094284262 Mon Dec 6 07:40:24 2021 A5: 147600 Mon Dec 6 07:40:24 2021 skew 18053065.66, size 6.274e-16, alpha -8.190, combined = 8.356e-13 rroots = 3 Mon Dec 6 07:40:24 2021 Mon Dec 6 07:40:24 2021 commencing linear algebra Mon Dec 6 07:40:24 2021 using VBITS=128 Mon Dec 6 07:40:24 2021 skipping matrix build Mon Dec 6 07:40:27 2021 matrix starts at (0, 0) Mon Dec 6 07:40:28 2021 matrix is 5524138 x 5524316 (2937.0 MB) with weight 901718668 (163.23/col) Mon Dec 6 07:40:28 2021 sparse part has weight 703627136 (127.37/col) Mon Dec 6 07:40:28 2021 saving the first 112 matrix rows for later Mon Dec 6 07:40:30 2021 matrix includes 128 packed rows Mon Dec 6 07:40:32 2021 matrix is 5524026 x 5524316 (2701.4 MB) with weight 697873836 (126.33/col) Mon Dec 6 07:40:32 2021 sparse part has weight 641856230 (116.19/col) Mon Dec 6 07:40:32 2021 using GPU 0 (Tesla P100-PCIE-16GB) Mon Dec 6 07:40:32 2021 selected card has CUDA arch 6.0 Mon Dec 6 07:42:11 2021 Mon Dec 6 07:42:11 2021 Mon Dec 6 07:42:11 2021 Msieve v. 1.54 (SVN unknown) Mon Dec 6 07:42:11 2021 random seeds: de8a48de 9509663f Mon Dec 6 07:42:11 2021 factoring 12041983552245601159124531481267863591767382312613346376538483173283302866095231676693105624036073901339045136358538747184222438586536575877858834065774928478569561 (164 digits) Mon Dec 6 07:42:12 2021 no P-1/P+1/ECM available, skipping Mon Dec 6 07:42:12 2021 commencing number field sieve (164-digit input) Mon Dec 6 07:42:12 2021 R0: -38222784567938835690655797058706 Mon Dec 6 07:42:12 2021 R1: 43599550927613681 Mon Dec 6 07:42:12 2021 A0: 16396081366503440503003785327441847638735 Mon Dec 6 07:42:12 2021 A1: 19500104622431381844689569188248083 Mon Dec 6 07:42:12 2021 A2: -5824446602172513599329436849 Mon Dec 6 07:42:12 2021 A3: 264245510837205785505 Mon Dec 6 07:42:12 2021 A4: 17552094284262 Mon Dec 6 07:42:12 2021 A5: 147600 Mon Dec 6 07:42:12 2021 skew 18053065.66, size 6.274e-16, alpha -8.190, combined = 8.356e-13 rroots = 3 Mon Dec 6 07:42:12 2021 Mon Dec 6 07:42:12 2021 commencing linear algebra Mon Dec 6 07:42:12 2021 using VBITS=128 Mon Dec 6 07:42:12 2021 skipping matrix build Mon Dec 6 07:42:30 2021 matrix starts at (0, 0) Mon Dec 6 07:42:31 2021 matrix is 5524138 x 5524316 (2937.0 MB) with weight 901718668 (163.23/col) Mon Dec 6 07:42:31 2021 sparse part has weight 703627136 (127.37/col) Mon Dec 6 07:42:31 2021 saving the first 112 matrix rows for later Mon Dec 6 07:42:32 2021 matrix includes 128 packed rows Mon Dec 6 07:42:34 2021 matrix is 5524026 x 5524316 (2701.4 MB) with weight 697873836 (126.33/col) Mon Dec 6 07:42:34 2021 sparse part has weight 641856230 (116.19/col) Mon Dec 6 07:42:34 2021 using GPU 0 (Tesla P100-PCIE-16GB) Mon Dec 6 07:42:34 2021 selected card has CUDA arch 6.0 Mon Dec 6 07:43:53 2021 commencing Lanczos iteration Mon Dec 6 07:43:54 2021 memory use: 5655.6 MB Mon Dec 6 07:43:57 2021 linear algebra at 0.0%, ETA 3h 0m Mon Dec 6 07:43:58 2021 checkpointing every 1840000 dimensions Mon Dec 6 10:36:37 2021 lanczos halted after 43416 iterations (dim = 5524024) Mon Dec 6 10:36:50 2021 recovered 30 nontrivial dependencies Mon Dec 6 10:36:51 2021 BLanczosTime: 10479 Mon Dec 6 10:36:51 2021 elapsed time 02:54:40 Mon Dec 6 10:42:40 2021 Mon Dec 6 10:42:40 2021 Mon Dec 6 10:42:40 2021 Msieve v. 1.54 (SVN 1043M) Mon Dec 6 10:42:40 2021 random seeds: cff38c47 532148d6 Mon Dec 6 10:42:40 2021 factoring 12041983552245601159124531481267863591767382312613346376538483173283302866095231676693105624036073901339045136358538747184222438586536575877858834065774928478569561 (164 digits) Mon Dec 6 10:42:40 2021 searching for 15-digit factors Mon Dec 6 10:42:41 2021 commencing number field sieve (164-digit input) Mon Dec 6 10:42:41 2021 R0: -38222784567938835690655797058706 Mon Dec 6 10:42:41 2021 R1: 43599550927613681 Mon Dec 6 10:42:41 2021 A0: 16396081366503440503003785327441847638735 Mon Dec 6 10:42:41 2021 A1: 19500104622431381844689569188248083 Mon Dec 6 10:42:41 2021 A2: -5824446602172513599329436849 Mon Dec 6 10:42:41 2021 A3: 264245510837205785505 Mon Dec 6 10:42:41 2021 A4: 17552094284262 Mon Dec 6 10:42:41 2021 A5: 147600 Mon Dec 6 10:42:41 2021 skew 18053065.66, size 6.274e-16, alpha -8.190, combined = 8.356e-13 rroots = 3 Mon Dec 6 10:42:41 2021 Mon Dec 6 10:42:41 2021 commencing square root phase Mon Dec 6 10:42:41 2021 reading relations for dependency 1 Mon Dec 6 10:42:58 2021 read 2761946 cycles Mon Dec 6 10:43:07 2021 cycles contain 9291936 unique relations Mon Dec 6 10:49:44 2021 read 9291936 relations Mon Dec 6 10:50:43 2021 multiplying 9291936 relations Mon Dec 6 11:03:08 2021 multiply complete, coefficients have about 513.29 million bits Mon Dec 6 11:03:11 2021 initial square root is modulo 1622190917 Mon Dec 6 11:17:57 2021 GCD is N, no factor found Mon Dec 6 11:17:57 2021 reading relations for dependency 2 Mon Dec 6 11:17:57 2021 read 2760571 cycles Mon Dec 6 11:18:06 2021 cycles contain 9288808 unique relations Mon Dec 6 11:19:24 2021 read 9288808 relations Mon Dec 6 11:20:21 2021 multiplying 9288808 relations Mon Dec 6 11:32:35 2021 multiply complete, coefficients have about 513.12 million bits Mon Dec 6 11:32:37 2021 initial square root is modulo 1610748961 Mon Dec 6 11:47:09 2021 GCD is N, no factor found Mon Dec 6 11:47:09 2021 reading relations for dependency 3 Mon Dec 6 11:47:10 2021 read 2762115 cycles Mon Dec 6 11:47:18 2021 cycles contain 9297702 unique relations Mon Dec 6 11:48:36 2021 read 9297702 relations Mon Dec 6 11:49:34 2021 multiplying 9297702 relations Mon Dec 6 12:01:22 2021 multiply complete, coefficients have about 513.61 million bits Mon Dec 6 12:01:25 2021 initial square root is modulo 1643676689 Mon Dec 6 12:15:54 2021 GCD is N, no factor found Mon Dec 6 12:15:54 2021 reading relations for dependency 4 Mon Dec 6 12:15:54 2021 read 2763534 cycles Mon Dec 6 12:16:03 2021 cycles contain 9297238 unique relations Mon Dec 6 12:17:18 2021 read 9297238 relations Mon Dec 6 12:18:16 2021 multiplying 9297238 relations Mon Dec 6 12:30:00 2021 multiply complete, coefficients have about 513.59 million bits Mon Dec 6 12:30:02 2021 initial square root is modulo 1642086431 Mon Dec 6 12:44:46 2021 sqrtTime: 7325 Mon Dec 6 12:44:46 2021 p58 factor: 3869170917685968448658682910720154006655325639864196473483 Mon Dec 6 12:44:46 2021 p106 factor: 3112290412708761744510809937770080214984215752254715014002064875673255292892884584571281807350117859591467 Mon Dec 6 12:44:46 2021 elapsed time 02:02:06