Tue Oct 22 11:22:57 2024 Tue Oct 22 11:22:57 2024 Tue Oct 22 11:22:57 2024 Msieve v. 1.54 (SVN Unversioned directory) Tue Oct 22 11:22:57 2024 random seeds: 6fd8ec56 ce385162 Tue Oct 22 11:22:57 2024 MPI process 0 of 1 Tue Oct 22 11:22:57 2024 Using 23 OpenMP threads Tue Oct 22 11:22:57 2024 factoring 360040970225120205900196662123380682639309286763867523541338763377145099667865172488487855919909227994266199310545209748733753446466080933518700208120683591136367745982389520136825383492992981652916707924948842276184563 (219 digits) Tue Oct 22 11:22:58 2024 no P-1/P+1/ECM available, skipping Tue Oct 22 11:22:58 2024 commencing number field sieve (219-digit input) Tue Oct 22 11:22:58 2024 R0: -5464098648993295913125474354248116809681 Tue Oct 22 11:22:58 2024 R1: 1 Tue Oct 22 11:22:58 2024 A0: -8597647453 Tue Oct 22 11:22:58 2024 A1: 0 Tue Oct 22 11:22:58 2024 A2: 0 Tue Oct 22 11:22:58 2024 A3: 0 Tue Oct 22 11:22:58 2024 A4: 0 Tue Oct 22 11:22:58 2024 A5: 0 Tue Oct 22 11:22:58 2024 A6: 1 Tue Oct 22 11:22:58 2024 skew 57.50, size 6.378e-13, alpha 2.433, combined = 9.122e-14 rroots = 2 Tue Oct 22 11:22:58 2024 Tue Oct 22 11:22:58 2024 commencing relation filtering Tue Oct 22 11:22:58 2024 setting target matrix density to 90.0 Tue Oct 22 11:22:58 2024 estimated available RAM is 192069.1 MB Tue Oct 22 11:22:58 2024 commencing duplicate removal, pass 1 Tue Oct 22 11:26:39 2024 error -1 reading relation 245628641 Tue Oct 22 11:26:39 2024 error -11 reading relation 246105527 Tue Oct 22 11:26:40 2024 error -5 reading relation 246500176 Tue Oct 22 11:26:54 2024 error -15 reading relation 262097881 Tue Oct 22 11:27:34 2024 error -15 reading relation 307050584 Tue Oct 22 11:27:44 2024 skipped 2 relations with b > 2^32 Tue Oct 22 11:27:44 2024 skipped 1 relations with composite factors Tue Oct 22 11:27:44 2024 skipped 248 malformed relations Tue Oct 22 11:27:44 2024 found 11146583 hash collisions in 317055926 relations Tue Oct 22 11:27:59 2024 added 1218471 free relations Tue Oct 22 11:27:59 2024 commencing duplicate removal, pass 2 Tue Oct 22 11:29:19 2024 found 0 duplicates and 318274397 unique relations Tue Oct 22 11:29:19 2024 memory use: 1044.8 MB Tue Oct 22 11:29:19 2024 reading ideals above 720000 Tue Oct 22 11:29:19 2024 commencing singleton removal, initial pass Tue Oct 22 11:45:09 2024 memory use: 6024.0 MB Tue Oct 22 11:45:09 2024 reading all ideals from disk Tue Oct 22 11:45:19 2024 memory use: 15613.5 MB Tue Oct 22 11:46:00 2024 keeping 313262599 ideals with weight <= 200, target excess is 1635174 Tue Oct 22 11:46:53 2024 commencing in-memory singleton removal Tue Oct 22 11:46:59 2024 begin with 318274397 relations and 313262599 unique ideals Tue Oct 22 11:47:23 2024 reduce to 174581491 relations and 152358901 ideals in 17 passes Tue Oct 22 11:47:23 2024 max relations containing the same ideal: 145 Tue Oct 22 11:48:54 2024 removing 14890123 relations and 12890123 ideals in 2000000 cliques Tue Oct 22 11:49:05 2024 commencing in-memory singleton removal Tue Oct 22 11:49:08 2024 begin with 159691368 relations and 152358901 unique ideals Tue Oct 22 11:49:19 2024 reduce to 158630048 relations and 138390564 ideals in 11 passes Tue Oct 22 11:49:19 2024 max relations containing the same ideal: 137 Tue Oct 22 11:50:56 2024 removing 11221583 relations and 9221583 ideals in 2000000 cliques Tue Oct 22 11:51:06 2024 commencing in-memory singleton removal Tue Oct 22 11:51:09 2024 begin with 147408465 relations and 138390564 unique ideals Tue Oct 22 11:51:17 2024 reduce to 146723312 relations and 128474610 ideals in 9 passes Tue Oct 22 11:51:17 2024 max relations containing the same ideal: 133 Tue Oct 22 11:52:22 2024 removing 10094270 relations and 8094270 ideals in 2000000 cliques Tue Oct 22 11:52:30 2024 commencing in-memory singleton removal Tue Oct 22 11:52:33 2024 begin with 136629042 relations and 128474610 unique ideals Tue Oct 22 11:52:40 2024 reduce to 136027495 relations and 119770691 ideals in 8 passes Tue Oct 22 11:52:40 2024 max relations containing the same ideal: 124 Tue Oct 22 11:53:40 2024 removing 9519636 relations and 7519636 ideals in 2000000 cliques Tue Oct 22 11:53:48 2024 commencing in-memory singleton removal Tue Oct 22 11:53:50 2024 begin with 126507859 relations and 119770691 unique ideals Tue Oct 22 11:53:57 2024 reduce to 125931765 relations and 111667020 ideals in 9 passes Tue Oct 22 11:53:57 2024 max relations containing the same ideal: 116 Tue Oct 22 11:55:01 2024 removing 9169371 relations and 7169371 ideals in 2000000 cliques Tue Oct 22 11:55:09 2024 commencing in-memory singleton removal Tue Oct 22 11:55:11 2024 begin with 116762394 relations and 111667020 unique ideals Tue Oct 22 11:55:17 2024 reduce to 116189555 relations and 103916451 ideals in 8 passes Tue Oct 22 11:55:17 2024 max relations containing the same ideal: 109 Tue Oct 22 11:56:09 2024 removing 8952927 relations and 6952927 ideals in 2000000 cliques Tue Oct 22 11:56:16 2024 commencing in-memory singleton removal Tue Oct 22 11:56:18 2024 begin with 107236628 relations and 103916451 unique ideals Tue Oct 22 11:56:23 2024 reduce to 106646651 relations and 96364336 ideals in 8 passes Tue Oct 22 11:56:23 2024 max relations containing the same ideal: 103 Tue Oct 22 11:57:06 2024 removing 8818282 relations and 6818282 ideals in 2000000 cliques Tue Oct 22 11:57:13 2024 commencing in-memory singleton removal Tue Oct 22 11:57:14 2024 begin with 97828369 relations and 96364336 unique ideals Tue Oct 22 11:57:20 2024 reduce to 97203062 relations and 88910430 ideals in 9 passes Tue Oct 22 11:57:20 2024 max relations containing the same ideal: 97 Tue Oct 22 11:58:06 2024 removing 8760317 relations and 6760317 ideals in 2000000 cliques Tue Oct 22 11:58:12 2024 commencing in-memory singleton removal Tue Oct 22 11:58:13 2024 begin with 88442745 relations and 88910430 unique ideals Tue Oct 22 11:58:18 2024 reduce to 87767046 relations and 81462251 ideals in 8 passes Tue Oct 22 11:58:18 2024 max relations containing the same ideal: 90 Tue Oct 22 11:58:53 2024 removing 8757710 relations and 6757710 ideals in 2000000 cliques Tue Oct 22 11:58:58 2024 commencing in-memory singleton removal Tue Oct 22 11:59:00 2024 begin with 79009336 relations and 81462251 unique ideals Tue Oct 22 11:59:04 2024 reduce to 78255129 relations and 73935358 ideals in 9 passes Tue Oct 22 11:59:04 2024 max relations containing the same ideal: 84 Tue Oct 22 11:59:33 2024 removing 8817595 relations and 6817595 ideals in 2000000 cliques Tue Oct 22 11:59:38 2024 commencing in-memory singleton removal Tue Oct 22 11:59:39 2024 begin with 69437534 relations and 73935358 unique ideals Tue Oct 22 11:59:43 2024 reduce to 68563646 relations and 66224391 ideals in 10 passes Tue Oct 22 11:59:43 2024 max relations containing the same ideal: 78 Tue Oct 22 12:00:10 2024 removing 2724871 relations and 2282418 ideals in 442453 cliques Tue Oct 22 12:00:14 2024 commencing in-memory singleton removal Tue Oct 22 12:00:15 2024 begin with 65838775 relations and 66224391 unique ideals Tue Oct 22 12:00:18 2024 reduce to 65755176 relations and 63857825 ideals in 7 passes Tue Oct 22 12:00:18 2024 max relations containing the same ideal: 75 Tue Oct 22 12:00:55 2024 relations with 0 large ideals: 58873 Tue Oct 22 12:00:55 2024 relations with 1 large ideals: 33624 Tue Oct 22 12:00:55 2024 relations with 2 large ideals: 443123 Tue Oct 22 12:00:55 2024 relations with 3 large ideals: 2587500 Tue Oct 22 12:00:55 2024 relations with 4 large ideals: 8169402 Tue Oct 22 12:00:55 2024 relations with 5 large ideals: 15304976 Tue Oct 22 12:00:55 2024 relations with 6 large ideals: 17745550 Tue Oct 22 12:00:55 2024 relations with 7+ large ideals: 21412128 Tue Oct 22 12:00:55 2024 commencing 2-way merge Tue Oct 22 12:01:37 2024 reduce to 39951621 relation sets and 38054270 unique ideals Tue Oct 22 12:01:37 2024 commencing full merge Tue Oct 22 12:12:01 2024 memory use: 4652.2 MB Tue Oct 22 12:12:05 2024 found 19630418 cycles, need 19380470 Tue Oct 22 12:12:12 2024 weight of 19380470 cycles is about 1744277628 (90.00/cycle) Tue Oct 22 12:12:12 2024 distribution of cycle lengths: Tue Oct 22 12:12:12 2024 1 relations: 2123530 Tue Oct 22 12:12:12 2024 2 relations: 1898940 Tue Oct 22 12:12:12 2024 3 relations: 1874541 Tue Oct 22 12:12:12 2024 4 relations: 1775204 Tue Oct 22 12:12:12 2024 5 relations: 1680311 Tue Oct 22 12:12:12 2024 6 relations: 1565447 Tue Oct 22 12:12:12 2024 7 relations: 1421664 Tue Oct 22 12:12:12 2024 8 relations: 1287497 Tue Oct 22 12:12:12 2024 9 relations: 1144747 Tue Oct 22 12:12:12 2024 10+ relations: 4608589 Tue Oct 22 12:12:12 2024 heaviest cycle: 23 relations Tue Oct 22 12:12:21 2024 commencing cycle optimization Tue Oct 22 12:12:53 2024 start with 125834747 relations Tue Oct 22 12:16:23 2024 pruned 3398220 relations Tue Oct 22 12:16:23 2024 memory use: 3960.8 MB Tue Oct 22 12:16:23 2024 distribution of cycle lengths: Tue Oct 22 12:16:23 2024 1 relations: 2123530 Tue Oct 22 12:16:23 2024 2 relations: 1939844 Tue Oct 22 12:16:23 2024 3 relations: 1939149 Tue Oct 22 12:16:24 2024 4 relations: 1823564 Tue Oct 22 12:16:24 2024 5 relations: 1731798 Tue Oct 22 12:16:24 2024 6 relations: 1601458 Tue Oct 22 12:16:24 2024 7 relations: 1455543 Tue Oct 22 12:16:24 2024 8 relations: 1307464 Tue Oct 22 12:16:24 2024 9 relations: 1156817 Tue Oct 22 12:16:24 2024 10+ relations: 4301303 Tue Oct 22 12:16:24 2024 heaviest cycle: 23 relations Tue Oct 22 12:17:03 2024 RelProcTime: 3245 Tue Oct 22 12:17:03 2024 elapsed time 00:54:06 Tue Oct 22 12:17:12 2024 Tue Oct 22 12:17:12 2024 Tue Oct 22 12:17:12 2024 Msieve v. 1.54 (SVN Unversioned directory) Tue Oct 22 12:17:12 2024 random seeds: 5d655ecf a355995e Tue Oct 22 12:17:12 2024 MPI process 0 of 1 Tue Oct 22 12:17:12 2024 Using 23 OpenMP threads Tue Oct 22 12:17:12 2024 factoring 360040970225120205900196662123380682639309286763867523541338763377145099667865172488487855919909227994266199310545209748733753446466080933518700208120683591136367745982389520136825383492992981652916707924948842276184563 (219 digits) Tue Oct 22 12:17:13 2024 no P-1/P+1/ECM available, skipping Tue Oct 22 12:17:13 2024 commencing number field sieve (219-digit input) Tue Oct 22 12:17:13 2024 R0: -5464098648993295913125474354248116809681 Tue Oct 22 12:17:13 2024 R1: 1 Tue Oct 22 12:17:13 2024 A0: -8597647453 Tue Oct 22 12:17:13 2024 A1: 0 Tue Oct 22 12:17:13 2024 A2: 0 Tue Oct 22 12:17:13 2024 A3: 0 Tue Oct 22 12:17:13 2024 A4: 0 Tue Oct 22 12:17:13 2024 A5: 0 Tue Oct 22 12:17:13 2024 A6: 1 Tue Oct 22 12:17:13 2024 skew 57.50, size 6.378e-13, alpha 2.433, combined = 9.122e-14 rroots = 2 Tue Oct 22 12:17:13 2024 Tue Oct 22 12:17:13 2024 commencing linear algebra Tue Oct 22 12:17:13 2024 using VBITS=128 Tue Oct 22 12:17:13 2024 stopping after matrix build Tue Oct 22 12:17:13 2024 initialized process (0,0) of 1 x 1 grid Tue Oct 22 12:17:16 2024 read 19380470 cycles Tue Oct 22 12:17:49 2024 cycles contain 64466902 unique relations Tue Oct 22 12:18:46 2024 read 64466902 relations Tue Oct 22 12:18:54 2024 using 20 quadratic characters above 4294917295 Tue Oct 22 12:19:10 2024 building initial matrix Tue Oct 22 12:32:51 2024 memory use: 8121.4 MB Tue Oct 22 12:33:11 2024 read 19380470 cycles Tue Oct 22 12:33:14 2024 matrix is 19380289 x 19380470 (7124.4 MB) with weight 2022547590 (104.36/col) Tue Oct 22 12:33:14 2024 sparse part has weight 1673802918 (86.37/col) Tue Oct 22 12:38:18 2024 filtering completed in 2 passes Tue Oct 22 12:38:21 2024 matrix is 19369818 x 19369995 (7123.5 MB) with weight 2022247107 (104.40/col) Tue Oct 22 12:38:21 2024 sparse part has weight 1673690559 (86.41/col) Tue Oct 22 12:39:18 2024 BLanczosTime: 1325 Tue Oct 22 12:39:18 2024 elapsed time 00:22:06 Tue Oct 22 14:21:39 2024 Tue Oct 22 14:21:39 2024 Tue Oct 22 14:21:39 2024 Msieve v. 1.54 (SVN Unversioned directory) Tue Oct 22 14:21:39 2024 random seeds: d06ab8b0 9a83ed9b Tue Oct 22 14:21:39 2024 MPI process 0 of 1 Tue Oct 22 14:21:39 2024 Using 10 OpenMP threads Tue Oct 22 14:21:39 2024 factoring 360040970225120205900196662123380682639309286763867523541338763377145099667865172488487855919909227994266199310545209748733753446466080933518700208120683591136367745982389520136825383492992981652916707924948842276184563 (219 digits) Tue Oct 22 14:21:41 2024 no P-1/P+1/ECM available, skipping Tue Oct 22 14:21:41 2024 commencing number field sieve (219-digit input) Tue Oct 22 14:21:41 2024 R0: -5464098648993295913125474354248116809681 Tue Oct 22 14:21:41 2024 R1: 1 Tue Oct 22 14:21:41 2024 A0: -8597647453 Tue Oct 22 14:21:41 2024 A1: 0 Tue Oct 22 14:21:41 2024 A2: 0 Tue Oct 22 14:21:41 2024 A3: 0 Tue Oct 22 14:21:41 2024 A4: 0 Tue Oct 22 14:21:41 2024 A5: 0 Tue Oct 22 14:21:41 2024 A6: 1 Tue Oct 22 14:21:41 2024 skew 57.50, size 6.378e-13, alpha 2.433, combined = 9.122e-14 rroots = 2 Tue Oct 22 14:21:41 2024 Tue Oct 22 14:21:41 2024 commencing linear algebra Tue Oct 22 14:21:41 2024 using VBITS=256 Tue Oct 22 14:21:41 2024 skipping matrix build Tue Oct 22 14:21:41 2024 initialized process (0,0) of 1 x 1 grid Tue Oct 22 14:21:55 2024 matrix starts at (0, 0) Tue Oct 22 14:21:58 2024 matrix is 19369818 x 19369995 (7123.5 MB) with weight 2022247107 (104.40/col) Tue Oct 22 14:21:58 2024 sparse part has weight 1673690559 (86.41/col) Tue Oct 22 14:21:58 2024 saving the first 240 matrix rows for later Tue Oct 22 14:22:07 2024 matrix includes 256 packed rows Tue Oct 22 14:22:14 2024 matrix is 19369578 x 19369995 (6658.1 MB) with weight 1511422259 (78.03/col) Tue Oct 22 14:22:14 2024 sparse part has weight 1435466487 (74.11/col) Tue Oct 22 14:22:14 2024 using GPU 0 (NVIDIA A100-SXM4-40GB) Tue Oct 22 14:22:14 2024 selected card has CUDA arch 8.0 Tue Oct 22 14:24:37 2024 commencing Lanczos iteration Tue Oct 22 14:24:39 2024 memory use: 16419.7 MB Tue Oct 22 14:25:12 2024 linear algebra at 0.2%, ETA 5h36m Tue Oct 22 14:26:00 2024 checking every 50000 dimensions, checkpointing every 3500000 dimensions Tue Oct 22 23:07:47 2024 lanczos halted after 75891 iterations (dim = 19369576) Tue Oct 22 23:09:54 2024 recovered 35 nontrivial dependencies Tue Oct 22 23:09:55 2024 BLanczosTime: 31694 Tue Oct 22 23:09:55 2024 elapsed time 08:48:16 Wed Oct 23 00:31:38 2024 Wed Oct 23 00:31:38 2024 Wed Oct 23 00:31:38 2024 Msieve v. 1.54 (SVN Unversioned directory) Wed Oct 23 00:31:38 2024 random seeds: 77e6237c 955c8984 Wed Oct 23 00:31:38 2024 MPI process 0 of 1 Wed Oct 23 00:31:38 2024 Using 23 OpenMP threads Wed Oct 23 00:31:38 2024 factoring 360040970225120205900196662123380682639309286763867523541338763377145099667865172488487855919909227994266199310545209748733753446466080933518700208120683591136367745982389520136825383492992981652916707924948842276184563 (219 digits) Wed Oct 23 00:31:39 2024 no P-1/P+1/ECM available, skipping Wed Oct 23 00:31:39 2024 commencing number field sieve (219-digit input) Wed Oct 23 00:31:39 2024 R0: -5464098648993295913125474354248116809681 Wed Oct 23 00:31:39 2024 R1: 1 Wed Oct 23 00:31:39 2024 A0: -8597647453 Wed Oct 23 00:31:39 2024 A1: 0 Wed Oct 23 00:31:39 2024 A2: 0 Wed Oct 23 00:31:39 2024 A3: 0 Wed Oct 23 00:31:39 2024 A4: 0 Wed Oct 23 00:31:39 2024 A5: 0 Wed Oct 23 00:31:39 2024 A6: 1 Wed Oct 23 00:31:39 2024 skew 57.50, size 6.378e-13, alpha 2.433, combined = 9.122e-14 rroots = 2 Wed Oct 23 00:31:39 2024 Wed Oct 23 00:31:39 2024 commencing square root phase Wed Oct 23 00:31:39 2024 reading relations for dependency 1 Wed Oct 23 00:31:42 2024 read 9687296 cycles Wed Oct 23 00:31:56 2024 cycles contain 32234820 unique relations Wed Oct 23 00:32:35 2024 read 32234820 relations Wed Oct 23 00:34:42 2024 multiplying 32234820 relations Wed Oct 23 00:36:50 2024 multiply complete, coefficients have about 922.64 million bits Wed Oct 23 00:36:53 2024 initial square root is modulo 189441991 Wed Oct 23 00:43:11 2024 sqrtTime: 692 Wed Oct 23 00:43:11 2024 p58 factor: 1111251407999005417645292408845366533889304486217261992849 Wed Oct 23 00:43:11 2024 p162 factor: 323995963139821233475667298713168229754525747469929648688517192049374362916162025556009679627025808393139188202118609711077428725395756772785160810698715901848387 Wed Oct 23 00:43:11 2024 elapsed time 00:11:33