Sun Jan 5 19:59:36 2025 Sun Jan 5 19:59:36 2025 Sun Jan 5 19:59:36 2025 Msieve v. 1.54 (SVN unknown) Sun Jan 5 19:59:36 2025 random seeds: d78f2507 09b4f54f Sun Jan 5 19:59:36 2025 factoring 54262402476373096841571988973870353362527555005379737814475043297843255207914925111435302108129018537791434214608379256878980944286171596804617300239097125801038671973732961432526982458387051356038905798290254629085234403726710829035156694631 (242 digits) Sun Jan 5 19:59:38 2025 no P-1/P+1/ECM available, skipping Sun Jan 5 19:59:38 2025 commencing number field sieve (242-digit input) Sun Jan 5 19:59:38 2025 R0: 11150372599265311570767859136324180752990208 Sun Jan 5 19:59:38 2025 R1: -1 Sun Jan 5 19:59:38 2025 A0: -1 Sun Jan 5 19:59:38 2025 A1: 0 Sun Jan 5 19:59:38 2025 A2: 0 Sun Jan 5 19:59:38 2025 A3: 0 Sun Jan 5 19:59:38 2025 A4: 0 Sun Jan 5 19:59:38 2025 A5: 0 Sun Jan 5 19:59:38 2025 A6: 5 Sun Jan 5 19:59:38 2025 skew 0.99, size 8.741e-13, alpha 2.301, combined = 1.048e-13 rroots = 2 Sun Jan 5 19:59:38 2025 Sun Jan 5 19:59:38 2025 commencing relation filtering Sun Jan 5 19:59:38 2025 setting target matrix density to 102.0 Sun Jan 5 19:59:38 2025 estimated available RAM is 128798.6 MB Sun Jan 5 19:59:38 2025 commencing duplicate removal, pass 1 Sun Jan 5 20:52:08 2025 error -11 reading relation 217369039 Sun Jan 5 21:12:38 2025 error -6 reading relation 302033152 Sun Jan 5 21:14:11 2025 error -15 reading relation 308510631 Sun Jan 5 21:14:24 2025 error -11 reading relation 309359105 Sun Jan 5 21:14:24 2025 error -11 reading relation 309364711 Sun Jan 5 21:15:05 2025 error -11 reading relation 312217356 Sun Jan 5 21:20:36 2025 skipped 797 relations with b > 2^32 Sun Jan 5 21:20:36 2025 skipped 2 relations with composite factors Sun Jan 5 21:20:36 2025 found 12415881 hash collisions in 335103881 relations Sun Jan 5 21:21:04 2025 added 1218700 free relations Sun Jan 5 21:21:04 2025 commencing duplicate removal, pass 2 Sun Jan 5 21:23:19 2025 found 0 duplicates and 336322581 unique relations Sun Jan 5 21:23:19 2025 memory use: 1044.8 MB Sun Jan 5 21:23:19 2025 reading ideals above 720000 Sun Jan 5 21:23:19 2025 commencing singleton removal, initial pass Sun Jan 5 22:54:55 2025 memory use: 6024.0 MB Sun Jan 5 22:54:56 2025 reading all ideals from disk Sun Jan 5 22:55:09 2025 memory use: 16427.9 MB Sun Jan 5 22:56:35 2025 keeping 316760327 ideals with weight <= 200, target excess is 1744430 Sun Jan 5 22:58:12 2025 commencing in-memory singleton removal Sun Jan 5 23:00:14 2025 begin with 336322581 relations and 316760327 unique ideals Sun Jan 5 23:09:40 2025 reduce to 199213335 relations and 164583781 ideals in 16 passes Sun Jan 5 23:09:40 2025 max relations containing the same ideal: 153 Sun Jan 5 23:13:13 2025 removing 13375281 relations and 11375281 ideals in 2000000 cliques Sun Jan 5 23:13:25 2025 commencing in-memory singleton removal Sun Jan 5 23:14:20 2025 begin with 185838054 relations and 164583781 unique ideals Sun Jan 5 23:17:42 2025 reduce to 185136962 relations and 152498013 ideals in 9 passes Sun Jan 5 23:17:42 2025 max relations containing the same ideal: 147 Sun Jan 5 23:20:54 2025 removing 10097637 relations and 8097637 ideals in 2000000 cliques Sun Jan 5 23:21:05 2025 commencing in-memory singleton removal Sun Jan 5 23:21:54 2025 begin with 175039325 relations and 152498013 unique ideals Sun Jan 5 23:24:34 2025 reduce to 174587506 relations and 143943322 ideals in 8 passes Sun Jan 5 23:24:34 2025 max relations containing the same ideal: 144 Sun Jan 5 23:27:29 2025 removing 9084575 relations and 7084575 ideals in 2000000 cliques Sun Jan 5 23:27:39 2025 commencing in-memory singleton removal Sun Jan 5 23:28:24 2025 begin with 165502931 relations and 143943322 unique ideals Sun Jan 5 23:30:32 2025 reduce to 165111779 relations and 136463227 ideals in 7 passes Sun Jan 5 23:30:32 2025 max relations containing the same ideal: 135 Sun Jan 5 23:33:11 2025 removing 8541200 relations and 6541200 ideals in 2000000 cliques Sun Jan 5 23:33:19 2025 commencing in-memory singleton removal Sun Jan 5 23:34:02 2025 begin with 156570579 relations and 136463227 unique ideals Sun Jan 5 23:36:01 2025 reduce to 156203948 relations and 129551134 ideals in 7 passes Sun Jan 5 23:36:01 2025 max relations containing the same ideal: 132 Sun Jan 5 23:38:29 2025 removing 8202569 relations and 6202569 ideals in 2000000 cliques Sun Jan 5 23:38:39 2025 commencing in-memory singleton removal Sun Jan 5 23:39:19 2025 begin with 148001379 relations and 129551134 unique ideals Sun Jan 5 23:41:25 2025 reduce to 147645763 relations and 122988743 ideals in 8 passes Sun Jan 5 23:41:25 2025 max relations containing the same ideal: 124 Sun Jan 5 23:43:42 2025 removing 7964678 relations and 5964678 ideals in 2000000 cliques Sun Jan 5 23:43:51 2025 commencing in-memory singleton removal Sun Jan 5 23:44:28 2025 begin with 139681085 relations and 122988743 unique ideals Sun Jan 5 23:46:13 2025 reduce to 139328194 relations and 116666839 ideals in 7 passes Sun Jan 5 23:46:13 2025 max relations containing the same ideal: 120 Sun Jan 5 23:48:19 2025 removing 7799627 relations and 5799627 ideals in 2000000 cliques Sun Jan 5 23:48:26 2025 commencing in-memory singleton removal Sun Jan 5 23:49:01 2025 begin with 131528567 relations and 116666839 unique ideals Sun Jan 5 23:50:40 2025 reduce to 131174769 relations and 110508999 ideals in 7 passes Sun Jan 5 23:50:40 2025 max relations containing the same ideal: 115 Sun Jan 5 23:52:40 2025 removing 7685615 relations and 5685615 ideals in 2000000 cliques Sun Jan 5 23:52:47 2025 commencing in-memory singleton removal Sun Jan 5 23:53:20 2025 begin with 123489154 relations and 110508999 unique ideals Sun Jan 5 23:55:03 2025 reduce to 123125162 relations and 104454509 ideals in 8 passes Sun Jan 5 23:55:03 2025 max relations containing the same ideal: 112 Sun Jan 5 23:56:52 2025 removing 7604180 relations and 5604180 ideals in 2000000 cliques Sun Jan 5 23:56:58 2025 commencing in-memory singleton removal Sun Jan 5 23:57:29 2025 begin with 115520982 relations and 104454509 unique ideals Sun Jan 5 23:58:54 2025 reduce to 115144824 relations and 98468555 ideals in 7 passes Sun Jan 5 23:58:54 2025 max relations containing the same ideal: 107 Mon Jan 6 00:00:33 2025 removing 7560523 relations and 5560523 ideals in 2000000 cliques Mon Jan 6 00:00:41 2025 commencing in-memory singleton removal Mon Jan 6 00:01:09 2025 begin with 107584301 relations and 98468555 unique ideals Mon Jan 6 00:02:38 2025 reduce to 107190089 relations and 92507729 ideals in 8 passes Mon Jan 6 00:02:38 2025 max relations containing the same ideal: 102 Mon Jan 6 00:04:10 2025 removing 7535013 relations and 5535013 ideals in 2000000 cliques Mon Jan 6 00:04:17 2025 commencing in-memory singleton removal Mon Jan 6 00:04:43 2025 begin with 99655076 relations and 92507729 unique ideals Mon Jan 6 00:05:56 2025 reduce to 99235295 relations and 86546049 ideals in 7 passes Mon Jan 6 00:05:56 2025 max relations containing the same ideal: 95 Mon Jan 6 00:07:24 2025 removing 7536404 relations and 5536404 ideals in 2000000 cliques Mon Jan 6 00:07:30 2025 commencing in-memory singleton removal Mon Jan 6 00:07:54 2025 begin with 91698891 relations and 86546049 unique ideals Mon Jan 6 00:09:00 2025 reduce to 91248011 relations and 80550831 ideals in 7 passes Mon Jan 6 00:09:00 2025 max relations containing the same ideal: 91 Mon Jan 6 00:10:19 2025 removing 7566327 relations and 5566327 ideals in 2000000 cliques Mon Jan 6 00:10:25 2025 commencing in-memory singleton removal Mon Jan 6 00:10:46 2025 begin with 83681684 relations and 80550831 unique ideals Mon Jan 6 00:11:46 2025 reduce to 83184714 relations and 74478204 ideals in 7 passes Mon Jan 6 00:11:46 2025 max relations containing the same ideal: 84 Mon Jan 6 00:13:00 2025 removing 7622894 relations and 5622894 ideals in 2000000 cliques Mon Jan 6 00:13:05 2025 commencing in-memory singleton removal Mon Jan 6 00:13:24 2025 begin with 75561820 relations and 74478204 unique ideals Mon Jan 6 00:14:36 2025 reduce to 75007308 relations and 68289471 ideals in 9 passes Mon Jan 6 00:14:36 2025 max relations containing the same ideal: 83 Mon Jan 6 00:15:43 2025 removing 7712317 relations and 5712317 ideals in 2000000 cliques Mon Jan 6 00:15:48 2025 commencing in-memory singleton removal Mon Jan 6 00:16:05 2025 begin with 67294991 relations and 68289471 unique ideals Mon Jan 6 00:17:00 2025 reduce to 66660665 relations and 61928598 ideals in 8 passes Mon Jan 6 00:17:00 2025 max relations containing the same ideal: 75 Mon Jan 6 00:18:00 2025 removing 7841274 relations and 5841274 ideals in 2000000 cliques Mon Jan 6 00:18:04 2025 commencing in-memory singleton removal Mon Jan 6 00:18:20 2025 begin with 58819391 relations and 61928598 unique ideals Mon Jan 6 00:19:15 2025 reduce to 58070105 relations and 55319199 ideals in 9 passes Mon Jan 6 00:19:15 2025 max relations containing the same ideal: 67 Mon Jan 6 00:20:06 2025 removing 3610983 relations and 2883616 ideals in 727367 cliques Mon Jan 6 00:20:10 2025 commencing in-memory singleton removal Mon Jan 6 00:20:23 2025 begin with 54459122 relations and 55319199 unique ideals Mon Jan 6 00:21:02 2025 reduce to 54291341 relations and 52266018 ideals in 7 passes Mon Jan 6 00:21:02 2025 max relations containing the same ideal: 64 Mon Jan 6 00:22:01 2025 relations with 0 large ideals: 64062 Mon Jan 6 00:22:01 2025 relations with 1 large ideals: 52652 Mon Jan 6 00:22:01 2025 relations with 2 large ideals: 560942 Mon Jan 6 00:22:01 2025 relations with 3 large ideals: 2974909 Mon Jan 6 00:22:01 2025 relations with 4 large ideals: 8381650 Mon Jan 6 00:22:01 2025 relations with 5 large ideals: 13868753 Mon Jan 6 00:22:01 2025 relations with 6 large ideals: 14131248 Mon Jan 6 00:22:01 2025 relations with 7+ large ideals: 14257125 Mon Jan 6 00:22:01 2025 commencing 2-way merge Mon Jan 6 00:23:17 2025 reduce to 33353253 relation sets and 31327930 unique ideals Mon Jan 6 00:23:18 2025 commencing full merge Mon Jan 6 00:40:36 2025 memory use: 3928.9 MB Mon Jan 6 00:40:42 2025 found 15797183 cycles, need 15550130 Mon Jan 6 00:40:50 2025 weight of 15550130 cycles is about 1586502812 (102.03/cycle) Mon Jan 6 00:40:50 2025 distribution of cycle lengths: Mon Jan 6 00:40:50 2025 1 relations: 1350286 Mon Jan 6 00:40:50 2025 2 relations: 1272620 Mon Jan 6 00:40:50 2025 3 relations: 1278841 Mon Jan 6 00:40:50 2025 4 relations: 1257744 Mon Jan 6 00:40:50 2025 5 relations: 1236104 Mon Jan 6 00:40:50 2025 6 relations: 1187607 Mon Jan 6 00:40:50 2025 7 relations: 1141367 Mon Jan 6 00:40:50 2025 8 relations: 1069497 Mon Jan 6 00:40:50 2025 9 relations: 979052 Mon Jan 6 00:40:50 2025 10+ relations: 4777012 Mon Jan 6 00:40:50 2025 heaviest cycle: 26 relations Mon Jan 6 00:41:00 2025 commencing cycle optimization Mon Jan 6 00:42:00 2025 start with 114984172 relations Mon Jan 6 00:48:45 2025 pruned 3997421 relations Mon Jan 6 00:48:46 2025 memory use: 3384.5 MB Mon Jan 6 00:48:47 2025 distribution of cycle lengths: Mon Jan 6 00:48:47 2025 1 relations: 1350286 Mon Jan 6 00:48:47 2025 2 relations: 1300229 Mon Jan 6 00:48:47 2025 3 relations: 1325216 Mon Jan 6 00:48:47 2025 4 relations: 1300265 Mon Jan 6 00:48:47 2025 5 relations: 1284543 Mon Jan 6 00:48:47 2025 6 relations: 1232511 Mon Jan 6 00:48:47 2025 7 relations: 1186432 Mon Jan 6 00:48:47 2025 8 relations: 1104572 Mon Jan 6 00:48:47 2025 9 relations: 1007789 Mon Jan 6 00:48:47 2025 10+ relations: 4458287 Mon Jan 6 00:48:47 2025 heaviest cycle: 25 relations Mon Jan 6 00:49:40 2025 RelProcTime: 17402 Mon Jan 6 00:49:40 2025 elapsed time 04:50:04 Mon Jan 6 08:24:11 2025 Mon Jan 6 08:24:11 2025 Mon Jan 6 08:24:11 2025 Msieve v. 1.54 (SVN unknown) Mon Jan 6 08:24:11 2025 random seeds: 50ad42fd eac1359d Mon Jan 6 08:24:11 2025 factoring 54262402476373096841571988973870353362527555005379737814475043297843255207914925111435302108129018537791434214608379256878980944286171596804617300239097125801038671973732961432526982458387051356038905798290254629085234403726710829035156694631 (242 digits) Mon Jan 6 08:24:13 2025 no P-1/P+1/ECM available, skipping Mon Jan 6 08:24:13 2025 commencing number field sieve (242-digit input) Mon Jan 6 08:24:13 2025 R0: 11150372599265311570767859136324180752990208 Mon Jan 6 08:24:13 2025 R1: -1 Mon Jan 6 08:24:13 2025 A0: -1 Mon Jan 6 08:24:13 2025 A1: 0 Mon Jan 6 08:24:13 2025 A2: 0 Mon Jan 6 08:24:13 2025 A3: 0 Mon Jan 6 08:24:13 2025 A4: 0 Mon Jan 6 08:24:13 2025 A5: 0 Mon Jan 6 08:24:13 2025 A6: 5 Mon Jan 6 08:24:13 2025 skew 0.99, size 8.741e-13, alpha 2.301, combined = 1.048e-13 rroots = 2 Mon Jan 6 08:24:13 2025 Mon Jan 6 08:24:13 2025 commencing linear algebra Mon Jan 6 08:24:13 2025 using VBITS=128 Mon Jan 6 08:24:16 2025 read 15550130 cycles Mon Jan 6 08:25:12 2025 cycles contain 53053610 unique relations Mon Jan 6 08:35:21 2025 read 53053610 relations Mon Jan 6 08:37:28 2025 using 20 quadratic characters above 4294917295 Mon Jan 6 08:43:10 2025 building initial matrix Mon Jan 6 09:00:48 2025 memory use: 6530.3 MB Mon Jan 6 09:01:05 2025 read 15550130 cycles Mon Jan 6 09:01:08 2025 matrix is 15549947 x 15550130 (6327.5 MB) with weight 1802741344 (115.93/col) Mon Jan 6 09:01:08 2025 sparse part has weight 1503227055 (96.67/col) Mon Jan 6 09:06:58 2025 filtering completed in 2 passes Mon Jan 6 09:07:02 2025 matrix is 15546354 x 15546532 (6327.2 MB) with weight 1802617077 (115.95/col) Mon Jan 6 09:07:02 2025 sparse part has weight 1503171325 (96.69/col) Mon Jan 6 09:08:47 2025 matrix starts at (0, 0) Mon Jan 6 09:08:50 2025 matrix is 15546354 x 15546532 (6327.2 MB) with weight 1802617077 (115.95/col) Mon Jan 6 09:08:50 2025 sparse part has weight 1503171325 (96.69/col) Mon Jan 6 09:08:50 2025 saving the first 112 matrix rows for later Mon Jan 6 09:08:56 2025 matrix includes 128 packed rows Mon Jan 6 09:09:01 2025 matrix is 15546242 x 15546532 (5935.1 MB) with weight 1444104126 (92.89/col) Mon Jan 6 09:09:01 2025 sparse part has weight 1369283352 (88.08/col) Mon Jan 6 09:09:02 2025 using GPU 0 (Tesla P100-PCIE-16GB) Mon Jan 6 09:09:02 2025 selected card has CUDA arch 6.0 Mon Jan 6 09:13:44 2025 commencing Lanczos iteration Mon Jan 6 09:13:46 2025 memory use: 12819.0 MB Mon Jan 6 09:17:58 2025 linear algebra at 0.2%, ETA 35h25m Mon Jan 6 09:18:32 2025 checking every 10000 dimensions, checkpointing every 490000 dimensions Tue Jan 7 03:47:31 2025 lanczos halted after 122188 iterations (dim = 15546242) Tue Jan 7 03:48:08 2025 recovered 37 nontrivial dependencies Tue Jan 7 03:48:09 2025 BLanczosTime: 69836 Tue Jan 7 03:48:09 2025 Tue Jan 7 03:48:09 2025 commencing square root phase Tue Jan 7 03:48:09 2025 handling dependencies 1 to 64 Tue Jan 7 03:48:09 2025 reading relations for dependency 1 Tue Jan 7 03:48:21 2025 read 7772786 cycles Tue Jan 7 03:48:47 2025 cycles contain 26530760 unique relations Tue Jan 7 03:55:15 2025 read 26530760 relations Tue Jan 7 03:59:01 2025 multiplying 26530760 relations Tue Jan 7 04:38:14 2025 multiply complete, coefficients have about 741.00 million bits Tue Jan 7 04:38:19 2025 initial square root is modulo 4445047 Tue Jan 7 05:13:44 2025 sqrtTime: 5135 Tue Jan 7 05:13:44 2025 p71 factor: 11018395408010020462569526981479807791371585566842404913570798744096551 Tue Jan 7 05:13:44 2025 p172 factor: 4924710038716351444352091997679935422207303529588580631647584051844996112857879585218738479439527994939220650302731385897384716401741565694783334267154149612844044835174081 Tue Jan 7 05:13:44 2025 elapsed time 20:49:33