Mon Aug 14 15:52:45 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Mon Aug 14 15:52:45 2023 random seeds: f31b74df c84e47fe Mon Aug 14 15:52:45 2023 Using 16 OpenMP threads Mon Aug 14 15:52:45 2023 factoring 9971104882365443966938487678689111817237524366019975481810863662826123780627141455559251708632061600034440653495987894915633016328422084418175014270408461426283147195006276198706100664588661420408737670806018716377299631149 (223 digits) Mon Aug 14 15:52:46 2023 no P-1/P+1/ECM available, skipping Mon Aug 14 15:52:46 2023 commencing number field sieve (223-digit input) Mon Aug 14 15:52:46 2023 R0: 6626407623023341735842836810834443894680475442 Mon Aug 14 15:52:46 2023 R1: -318270182965192022252424017587489077700729 Mon Aug 14 15:52:46 2023 A0: -1 Mon Aug 14 15:52:46 2023 A1: -3 Mon Aug 14 15:52:46 2023 A2: 6 Mon Aug 14 15:52:46 2023 A3: 4 Mon Aug 14 15:52:46 2023 A4: -5 Mon Aug 14 15:52:46 2023 A5: -1 Mon Aug 14 15:52:46 2023 A6: 1 Mon Aug 14 15:52:46 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6 Mon Aug 14 15:52:46 2023 Mon Aug 14 15:52:46 2023 commencing relation filtering Mon Aug 14 15:52:46 2023 setting target matrix density to 100.0 Mon Aug 14 15:52:46 2023 estimated available RAM is 64223.0 MB Mon Aug 14 15:52:46 2023 commencing duplicate removal, pass 1 Mon Aug 14 15:54:52 2023 error -15 reading relation 172247015 Mon Aug 14 15:55:37 2023 error -15 reading relation 235058308 Mon Aug 14 15:55:50 2023 skipped 1425 relations with b > 2^32 Mon Aug 14 15:55:50 2023 found 13991443 hash collisions in 254864460 relations Mon Aug 14 15:55:54 2023 added 2438358 free relations Mon Aug 14 15:55:54 2023 commencing duplicate removal, pass 2 Mon Aug 14 15:56:43 2023 found 0 duplicates and 257302818 unique relations Mon Aug 14 15:56:43 2023 memory use: 852.8 MB Mon Aug 14 15:56:43 2023 reading ideals above 720000 Mon Aug 14 15:56:43 2023 commencing singleton removal, initial pass Mon Aug 14 16:04:49 2023 memory use: 6024.0 MB Mon Aug 14 16:04:49 2023 reading all ideals from disk Mon Aug 14 16:04:54 2023 memory use: 12875.8 MB Mon Aug 14 16:05:07 2023 keeping 259196460 ideals with weight <= 200, target excess is 1340267 Mon Aug 14 16:05:24 2023 commencing in-memory singleton removal Mon Aug 14 16:05:29 2023 begin with 257302818 relations and 259196460 unique ideals Mon Aug 14 16:06:11 2023 reduce to 153037750 relations and 146765591 ideals in 23 passes Mon Aug 14 16:06:11 2023 max relations containing the same ideal: 154 Mon Aug 14 16:06:44 2023 removing 11569891 relations and 10569891 ideals in 1000000 cliques Mon Aug 14 16:06:48 2023 commencing in-memory singleton removal Mon Aug 14 16:06:50 2023 begin with 141467859 relations and 146765591 unique ideals Mon Aug 14 16:07:07 2023 reduce to 140605617 relations and 135324557 ideals in 12 passes Mon Aug 14 16:07:07 2023 max relations containing the same ideal: 142 Mon Aug 14 16:07:36 2023 removing 8526875 relations and 7526875 ideals in 1000000 cliques Mon Aug 14 16:07:39 2023 commencing in-memory singleton removal Mon Aug 14 16:07:41 2023 begin with 132078742 relations and 135324557 unique ideals Mon Aug 14 16:07:54 2023 reduce to 131562465 relations and 127276965 ideals in 10 passes Mon Aug 14 16:07:54 2023 max relations containing the same ideal: 136 Mon Aug 14 16:08:22 2023 removing 7570143 relations and 6570143 ideals in 1000000 cliques Mon Aug 14 16:08:24 2023 commencing in-memory singleton removal Mon Aug 14 16:08:26 2023 begin with 123992322 relations and 127276965 unique ideals Mon Aug 14 16:08:39 2023 reduce to 123559785 relations and 120270542 ideals in 10 passes Mon Aug 14 16:08:39 2023 max relations containing the same ideal: 129 Mon Aug 14 16:09:05 2023 removing 7066328 relations and 6066328 ideals in 1000000 cliques Mon Aug 14 16:09:07 2023 commencing in-memory singleton removal Mon Aug 14 16:09:09 2023 begin with 116493457 relations and 120270542 unique ideals Mon Aug 14 16:09:21 2023 reduce to 116094205 relations and 113801608 ideals in 10 passes Mon Aug 14 16:09:21 2023 max relations containing the same ideal: 123 Mon Aug 14 16:09:45 2023 removing 5263678 relations and 4525791 ideals in 737887 cliques Mon Aug 14 16:09:47 2023 commencing in-memory singleton removal Mon Aug 14 16:09:49 2023 begin with 110830527 relations and 113801608 unique ideals Mon Aug 14 16:09:59 2023 reduce to 110602163 relations and 109046015 ideals in 9 passes Mon Aug 14 16:09:59 2023 max relations containing the same ideal: 118 Mon Aug 14 16:10:33 2023 relations with 0 large ideals: 102699 Mon Aug 14 16:10:33 2023 relations with 1 large ideals: 17736 Mon Aug 14 16:10:33 2023 relations with 2 large ideals: 213877 Mon Aug 14 16:10:33 2023 relations with 3 large ideals: 1592501 Mon Aug 14 16:10:33 2023 relations with 4 large ideals: 6667246 Mon Aug 14 16:10:33 2023 relations with 5 large ideals: 17005830 Mon Aug 14 16:10:33 2023 relations with 6 large ideals: 27379378 Mon Aug 14 16:10:33 2023 relations with 7+ large ideals: 57622896 Mon Aug 14 16:10:33 2023 commencing 2-way merge Mon Aug 14 16:11:12 2023 reduce to 66731994 relation sets and 65175846 unique ideals Mon Aug 14 16:11:12 2023 commencing full merge Mon Aug 14 16:26:59 2023 memory use: 8313.7 MB Mon Aug 14 16:27:03 2023 found 31035627 cycles, need 31022046 Mon Aug 14 16:27:09 2023 weight of 31022046 cycles is about 3102338028 (100.00/cycle) Mon Aug 14 16:27:09 2023 distribution of cycle lengths: Mon Aug 14 16:27:09 2023 1 relations: 3823885 Mon Aug 14 16:27:09 2023 2 relations: 3185920 Mon Aug 14 16:27:09 2023 3 relations: 2873254 Mon Aug 14 16:27:09 2023 4 relations: 2577237 Mon Aug 14 16:27:09 2023 5 relations: 2329671 Mon Aug 14 16:27:09 2023 6 relations: 2100479 Mon Aug 14 16:27:09 2023 7 relations: 1869760 Mon Aug 14 16:27:09 2023 8 relations: 1639789 Mon Aug 14 16:27:09 2023 9 relations: 1472304 Mon Aug 14 16:27:09 2023 10+ relations: 9149747 Mon Aug 14 16:27:09 2023 heaviest cycle: 28 relations Mon Aug 14 16:27:14 2023 commencing cycle optimization Mon Aug 14 16:27:51 2023 start with 228071972 relations Mon Aug 14 16:32:23 2023 pruned 6420514 relations Mon Aug 14 16:32:24 2023 memory use: 6821.2 MB Mon Aug 14 16:32:24 2023 distribution of cycle lengths: Mon Aug 14 16:32:24 2023 1 relations: 3823885 Mon Aug 14 16:32:24 2023 2 relations: 3249473 Mon Aug 14 16:32:24 2023 3 relations: 2971812 Mon Aug 14 16:32:24 2023 4 relations: 2645576 Mon Aug 14 16:32:24 2023 5 relations: 2397621 Mon Aug 14 16:32:24 2023 6 relations: 2143580 Mon Aug 14 16:32:24 2023 7 relations: 1903402 Mon Aug 14 16:32:24 2023 8 relations: 1658972 Mon Aug 14 16:32:24 2023 9 relations: 1482864 Mon Aug 14 16:32:24 2023 10+ relations: 8744861 Mon Aug 14 16:32:24 2023 heaviest cycle: 28 relations Mon Aug 14 16:32:58 2023 RelProcTime: 2412 Mon Aug 14 16:32:58 2023 elapsed time 00:40:13 Mon Aug 14 16:42:56 2023 Mon Aug 14 16:42:56 2023 Mon Aug 14 16:42:56 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI) Mon Aug 14 16:42:56 2023 random seeds: 2b5540ee 200511a0 Mon Aug 14 16:42:56 2023 MPI process 0 of 2 Mon Aug 14 16:42:56 2023 Using 8 OpenMP threads Mon Aug 14 16:42:56 2023 factoring 9971104882365443966938487678689111817237524366019975481810863662826123780627141455559251708632061600034440653495987894915633016328422084418175014270408461426283147195006276198706100664588661420408737670806018716377299631149 (223 digits) Mon Aug 14 16:42:57 2023 no P-1/P+1/ECM available, skipping Mon Aug 14 16:42:57 2023 commencing number field sieve (223-digit input) Mon Aug 14 16:42:57 2023 R0: 6626407623023341735842836810834443894680475442 Mon Aug 14 16:42:57 2023 R1: -318270182965192022252424017587489077700729 Mon Aug 14 16:42:57 2023 A0: -1 Mon Aug 14 16:42:57 2023 A1: -3 Mon Aug 14 16:42:57 2023 A2: 6 Mon Aug 14 16:42:57 2023 A3: 4 Mon Aug 14 16:42:57 2023 A4: -5 Mon Aug 14 16:42:57 2023 A5: -1 Mon Aug 14 16:42:57 2023 A6: 1 Mon Aug 14 16:42:57 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6 Mon Aug 14 16:42:57 2023 Mon Aug 14 16:42:57 2023 commencing linear algebra Mon Aug 14 16:42:57 2023 using VBITS=256 Mon Aug 14 16:42:57 2023 initialized process (0,0) of 1 x 2 grid Mon Aug 14 16:42:58 2023 read 31022046 cycles Mon Aug 14 16:43:35 2023 cycles contain 109030838 unique relations Mon Aug 14 16:44:59 2023 read 109030838 relations Mon Aug 14 16:45:25 2023 using 20 quadratic characters above 4294917295 Mon Aug 14 16:46:04 2023 building initial matrix Mon Aug 14 16:57:01 2023 memory use: 13258.5 MB Mon Aug 14 16:57:15 2023 read 31022046 cycles Mon Aug 14 16:57:18 2023 matrix is 31021868 x 31022046 (12493.7 MB) with weight 3527078777 (113.70/col) Mon Aug 14 16:57:18 2023 sparse part has weight 2964919588 (95.57/col) Mon Aug 14 17:00:48 2023 filtering completed in 2 passes Mon Aug 14 17:00:51 2023 matrix is 31018924 x 31019086 (12493.4 MB) with weight 3526993054 (113.70/col) Mon Aug 14 17:00:51 2023 sparse part has weight 2964891530 (95.58/col) Mon Aug 14 17:01:33 2023 matrix starts at (0, 0) Mon Aug 14 17:01:35 2023 matrix is 31018924 x 15509563 (6246.7 MB) with weight 1763507013 (113.70/col) Mon Aug 14 17:01:35 2023 sparse part has weight 1482445914 (95.58/col) Mon Aug 14 17:01:35 2023 saving the first 240 matrix rows for later Mon Aug 14 17:01:37 2023 matrix includes 256 packed rows Mon Aug 14 17:01:42 2023 matrix is 31018684 x 15509563 (5880.1 MB) with weight 1355799984 (87.42/col) Mon Aug 14 17:01:42 2023 sparse part has weight 1293272679 (83.39/col) Mon Aug 14 17:01:42 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Mon Aug 14 17:01:42 2023 selected card has CUDA arch 8.6 Mon Aug 14 17:06:22 2023 commencing Lanczos iteration Mon Aug 14 17:06:23 2023 memory use: 15250.8 MB Mon Aug 14 17:07:51 2023 linear algebra at 0.1%, ETA 13h12m Mon Aug 14 17:09:11 2023 checking every 30000 dimensions, checkpointing every 2190000 dimensions Tue Aug 15 08:08:49 2023 lanczos halted after 121531 iterations (dim = 31018682) Tue Aug 15 08:10:56 2023 recovered 34 nontrivial dependencies Tue Aug 15 08:10:57 2023 BLanczosTime: 55680 Tue Aug 15 08:10:57 2023 elapsed time 15:28:01 Tue Aug 15 08:10:59 2023 Tue Aug 15 08:10:59 2023 Tue Aug 15 08:10:59 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Tue Aug 15 08:10:59 2023 random seeds: bdc5a3c0 9c72ebab Tue Aug 15 08:10:59 2023 Using 16 OpenMP threads Tue Aug 15 08:10:59 2023 factoring 9971104882365443966938487678689111817237524366019975481810863662826123780627141455559251708632061600034440653495987894915633016328422084418175014270408461426283147195006276198706100664588661420408737670806018716377299631149 (223 digits) Tue Aug 15 08:11:00 2023 no P-1/P+1/ECM available, skipping Tue Aug 15 08:11:00 2023 commencing number field sieve (223-digit input) Tue Aug 15 08:11:00 2023 R0: 6626407623023341735842836810834443894680475442 Tue Aug 15 08:11:00 2023 R1: -318270182965192022252424017587489077700729 Tue Aug 15 08:11:00 2023 A0: -1 Tue Aug 15 08:11:00 2023 A1: -3 Tue Aug 15 08:11:00 2023 A2: 6 Tue Aug 15 08:11:00 2023 A3: 4 Tue Aug 15 08:11:00 2023 A4: -5 Tue Aug 15 08:11:00 2023 A5: -1 Tue Aug 15 08:11:00 2023 A6: 1 Tue Aug 15 08:11:00 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6 Tue Aug 15 08:11:00 2023 Tue Aug 15 08:11:00 2023 commencing square root phase Tue Aug 15 08:11:00 2023 reading relations for dependency 1 Tue Aug 15 08:11:03 2023 read 15511528 cycles Tue Aug 15 08:11:32 2023 cycles contain 54524672 unique relations Tue Aug 15 08:12:48 2023 read 54524672 relations Tue Aug 15 08:16:20 2023 multiplying 54524672 relations Tue Aug 15 08:21:27 2023 multiply complete, coefficients have about 1432.43 million bits Tue Aug 15 08:21:31 2023 initial square root is modulo 2663867 Tue Aug 15 08:32:38 2023 GCD is 1, no factor found Tue Aug 15 08:32:38 2023 reading relations for dependency 2 Tue Aug 15 08:32:41 2023 read 15504997 cycles Tue Aug 15 08:33:09 2023 cycles contain 54498190 unique relations Tue Aug 15 08:34:16 2023 read 54498190 relations Tue Aug 15 08:37:48 2023 multiplying 54498190 relations Tue Aug 15 08:42:49 2023 multiply complete, coefficients have about 1431.75 million bits Tue Aug 15 08:42:53 2023 initial square root is modulo 2645051 Tue Aug 15 08:54:03 2023 sqrtTime: 2583 Tue Aug 15 08:54:03 2023 p102 factor: 597735021001745863141950551519605528337201076171761831334705439337397539299769509989126330836119003193 Tue Aug 15 08:54:03 2023 p122 factor: 16681480140907320847120479317921468047308684180313695751438535675622983129495005812330401829321512569190508418049652249493 Tue Aug 15 08:54:03 2023 elapsed time 00:43:04