Fri Jul 24 02:02:59 2026 Fri Jul 24 02:02:59 2026 Fri Jul 24 02:02:59 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Jul 24 02:02:59 2026 random seeds: 123abed6 97552608 Fri Jul 24 02:02:59 2026 MPI process 0 of 1 Fri Jul 24 02:02:59 2026 Using 32 OpenMP threads Fri Jul 24 02:02:59 2026 factoring 6029964561854449841836080235116742199134443400675987797029232304593700853849708291412897816967941670589216816973596870483817739448498940711153827262126885810896245217 (166 digits) Fri Jul 24 02:03:00 2026 searching for 15-digit factors Fri Jul 24 02:03:01 2026 commencing number field sieve (166-digit input) Fri Jul 24 02:03:01 2026 R0: 108600435917474890284507042397007 Fri Jul 24 02:03:01 2026 R1: 6688908598399318981018921 Fri Jul 24 02:03:01 2026 A0: -1090021761410870027418420482003860152624 Fri Jul 24 02:03:01 2026 A1: 142965026111691946602044956952586 Fri Jul 24 02:03:01 2026 A2: -73344868165537807318536923 Fri Jul 24 02:03:01 2026 A3: 1155261591876452014 Fri Jul 24 02:03:01 2026 A4: 7206668449212 Fri Jul 24 02:03:01 2026 A5: 20160 Fri Jul 24 02:03:01 2026 skew 6762694.94, size 4.129e-16, alpha -6.688, combined = 6.819e-13 rroots = 3 Fri Jul 24 02:03:01 2026 Fri Jul 24 02:03:01 2026 commencing relation filtering Fri Jul 24 02:03:01 2026 setting target matrix density to 120.0 Fri Jul 24 02:03:01 2026 estimated available RAM is 257736.5 MB Fri Jul 24 02:03:01 2026 commencing duplicate removal, pass 1 Fri Jul 24 02:05:33 2026 error -1 reading relation 58847713 Fri Jul 24 02:05:40 2026 error -1 reading relation 61469873 Fri Jul 24 02:05:42 2026 error -1 reading relation 62025194 Fri Jul 24 02:06:25 2026 error -1 reading relation 77268786 Fri Jul 24 02:06:37 2026 error -1 reading relation 81507290 Fri Jul 24 02:06:58 2026 error -1 reading relation 88686886 Fri Jul 24 02:06:58 2026 error -1 reading relation 88706446 Fri Jul 24 02:07:04 2026 error -1 reading relation 90810525 Fri Jul 24 02:07:09 2026 error -15 reading relation 92431322 Fri Jul 24 02:07:11 2026 error -1 reading relation 93253873 Fri Jul 24 02:07:15 2026 error -1 reading relation 94601377 Fri Jul 24 02:08:34 2026 skipped 111 malformed relations Fri Jul 24 02:08:34 2026 found 23701377 hash collisions in 128884473 relations Fri Jul 24 02:09:04 2026 added 121756 free relations Fri Jul 24 02:09:04 2026 commencing duplicate removal, pass 2 Fri Jul 24 02:11:59 2026 found 22078191 duplicates and 106928038 unique relations Fri Jul 24 02:11:59 2026 memory use: 724.8 MB Fri Jul 24 02:11:59 2026 reading ideals above 720000 Fri Jul 24 02:11:59 2026 commencing singleton removal, initial pass Fri Jul 24 02:23:00 2026 memory use: 3012.0 MB Fri Jul 24 02:23:00 2026 reading all ideals from disk Fri Jul 24 02:23:04 2026 memory use: 4850.4 MB Fri Jul 24 02:23:26 2026 keeping 113191353 ideals with weight <= 200, target excess is 572854 Fri Jul 24 02:23:53 2026 commencing in-memory singleton removal Fri Jul 24 02:23:56 2026 begin with 106928038 relations and 113191353 unique ideals Fri Jul 24 02:24:06 2026 reduce to 45483056 relations and 42563757 ideals in 19 passes Fri Jul 24 02:24:06 2026 max relations containing the same ideal: 116 Fri Jul 24 02:24:42 2026 removing 3991995 relations and 3591995 ideals in 400000 cliques Fri Jul 24 02:24:45 2026 commencing in-memory singleton removal Fri Jul 24 02:24:45 2026 begin with 41491061 relations and 42563757 unique ideals Fri Jul 24 02:24:49 2026 reduce to 41224882 relations and 38702194 ideals in 10 passes Fri Jul 24 02:24:49 2026 max relations containing the same ideal: 110 Fri Jul 24 02:25:20 2026 removing 2932388 relations and 2532388 ideals in 400000 cliques Fri Jul 24 02:25:23 2026 commencing in-memory singleton removal Fri Jul 24 02:25:23 2026 begin with 38292494 relations and 38702194 unique ideals Fri Jul 24 02:25:26 2026 reduce to 38131348 relations and 36007020 ideals in 9 passes Fri Jul 24 02:25:26 2026 max relations containing the same ideal: 103 Fri Jul 24 02:25:55 2026 removing 2595952 relations and 2195952 ideals in 400000 cliques Fri Jul 24 02:25:57 2026 commencing in-memory singleton removal Fri Jul 24 02:25:57 2026 begin with 35535396 relations and 36007020 unique ideals Fri Jul 24 02:26:00 2026 reduce to 35399282 relations and 33673535 ideals in 9 passes Fri Jul 24 02:26:00 2026 max relations containing the same ideal: 99 Fri Jul 24 02:26:27 2026 removing 2413600 relations and 2013600 ideals in 400000 cliques Fri Jul 24 02:26:29 2026 commencing in-memory singleton removal Fri Jul 24 02:26:30 2026 begin with 32985682 relations and 33673535 unique ideals Fri Jul 24 02:26:32 2026 reduce to 32858901 relations and 31531879 ideals in 9 passes Fri Jul 24 02:26:32 2026 max relations containing the same ideal: 94 Fri Jul 24 02:26:58 2026 removing 2293363 relations and 1893363 ideals in 400000 cliques Fri Jul 24 02:27:00 2026 commencing in-memory singleton removal Fri Jul 24 02:27:00 2026 begin with 30565538 relations and 31531879 unique ideals Fri Jul 24 02:27:02 2026 reduce to 30443548 relations and 29515197 ideals in 9 passes Fri Jul 24 02:27:02 2026 max relations containing the same ideal: 89 Fri Jul 24 02:27:26 2026 removing 1566314 relations and 1302474 ideals in 263840 cliques Fri Jul 24 02:27:28 2026 commencing in-memory singleton removal Fri Jul 24 02:27:28 2026 begin with 28877234 relations and 29515197 unique ideals Fri Jul 24 02:27:30 2026 reduce to 28819002 relations and 28154064 ideals in 8 passes Fri Jul 24 02:27:30 2026 max relations containing the same ideal: 86 Fri Jul 24 02:27:59 2026 relations with 0 large ideals: 2006 Fri Jul 24 02:27:59 2026 relations with 1 large ideals: 9307 Fri Jul 24 02:27:59 2026 relations with 2 large ideals: 136683 Fri Jul 24 02:27:59 2026 relations with 3 large ideals: 898959 Fri Jul 24 02:27:59 2026 relations with 4 large ideals: 3146179 Fri Jul 24 02:27:59 2026 relations with 5 large ideals: 6463733 Fri Jul 24 02:27:59 2026 relations with 6 large ideals: 8100694 Fri Jul 24 02:27:59 2026 relations with 7+ large ideals: 10061441 Fri Jul 24 02:27:59 2026 commencing 2-way merge Fri Jul 24 02:28:32 2026 reduce to 17198266 relation sets and 16533328 unique ideals Fri Jul 24 02:28:32 2026 commencing full merge Fri Jul 24 02:39:41 2026 memory use: 2055.4 MB Fri Jul 24 02:39:42 2026 found 7679258 cycles, need 7663528 Fri Jul 24 02:39:45 2026 weight of 7663528 cycles is about 920195159 (120.07/cycle) Fri Jul 24 02:39:45 2026 distribution of cycle lengths: Fri Jul 24 02:39:45 2026 1 relations: 472561 Fri Jul 24 02:39:45 2026 2 relations: 579311 Fri Jul 24 02:39:45 2026 3 relations: 622424 Fri Jul 24 02:39:45 2026 4 relations: 599494 Fri Jul 24 02:39:45 2026 5 relations: 580081 Fri Jul 24 02:39:45 2026 6 relations: 540683 Fri Jul 24 02:39:45 2026 7 relations: 500968 Fri Jul 24 02:39:45 2026 8 relations: 462791 Fri Jul 24 02:39:45 2026 9 relations: 425814 Fri Jul 24 02:39:45 2026 10+ relations: 2879401 Fri Jul 24 02:39:45 2026 heaviest cycle: 28 relations Fri Jul 24 02:39:47 2026 commencing cycle optimization Fri Jul 24 02:40:01 2026 start with 66080378 relations Fri Jul 24 02:44:05 2026 pruned 2379366 relations Fri Jul 24 02:44:05 2026 memory use: 1858.1 MB Fri Jul 24 02:44:05 2026 distribution of cycle lengths: Fri Jul 24 02:44:05 2026 1 relations: 472561 Fri Jul 24 02:44:05 2026 2 relations: 594327 Fri Jul 24 02:44:05 2026 3 relations: 648046 Fri Jul 24 02:44:05 2026 4 relations: 620790 Fri Jul 24 02:44:05 2026 5 relations: 602531 Fri Jul 24 02:44:05 2026 6 relations: 558195 Fri Jul 24 02:44:05 2026 7 relations: 516578 Fri Jul 24 02:44:05 2026 8 relations: 473045 Fri Jul 24 02:44:05 2026 9 relations: 434634 Fri Jul 24 02:44:05 2026 10+ relations: 2742821 Fri Jul 24 02:44:05 2026 heaviest cycle: 28 relations Fri Jul 24 02:44:35 2026 RelProcTime: 2494 Fri Jul 24 02:44:35 2026 Fri Jul 24 02:44:35 2026 commencing linear algebra Fri Jul 24 02:44:35 2026 using VBITS=256 Fri Jul 24 02:44:35 2026 stopping after matrix build Fri Jul 24 02:44:35 2026 initialized process (0,0) of 1 x 1 grid Fri Jul 24 02:44:36 2026 read 7663528 cycles Fri Jul 24 02:45:06 2026 cycles contain 28311557 unique relations Fri Jul 24 02:47:52 2026 read 28311557 relations Fri Jul 24 02:47:55 2026 using 20 quadratic characters above 4294917295 Fri Jul 24 02:48:00 2026 building initial matrix Fri Jul 24 02:56:00 2026 memory use: 3720.1 MB Fri Jul 24 02:56:09 2026 read 7663528 cycles Fri Jul 24 02:56:11 2026 matrix is 7663351 x 7663528 (3615.9 MB) with weight 1090367995 (142.28/col) Fri Jul 24 02:56:11 2026 sparse part has weight 863594364 (112.69/col) Fri Jul 24 02:58:50 2026 filtering completed in 2 passes Fri Jul 24 02:58:53 2026 matrix is 7662982 x 7663157 (3615.9 MB) with weight 1090351869 (142.28/col) Fri Jul 24 02:58:53 2026 sparse part has weight 863590107 (112.69/col) Fri Jul 24 02:59:36 2026 BLanczosTime: 901 Fri Jul 24 02:59:36 2026 elapsed time 00:56:37 Fri Jul 24 20:26:13 2026 Fri Jul 24 20:26:13 2026 Fri Jul 24 20:26:13 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Jul 24 20:26:13 2026 random seeds: e4d34a76 90a16f98 Fri Jul 24 20:26:13 2026 MPI process 0 of 1 Fri Jul 24 20:26:13 2026 Using 64 OpenMP threads Fri Jul 24 20:26:13 2026 factoring 6029964561854449841836080235116742199134443400675987797029232304593700853849708291412897816967941670589216816973596870483817739448498940711153827262126885810896245217 (166 digits) Fri Jul 24 20:26:14 2026 searching for 15-digit factors Fri Jul 24 20:26:15 2026 commencing number field sieve (166-digit input) Fri Jul 24 20:26:15 2026 R0: 108600435917474890284507042397007 Fri Jul 24 20:26:15 2026 R1: 6688908598399318981018921 Fri Jul 24 20:26:15 2026 A0: -1090021761410870027418420482003860152624 Fri Jul 24 20:26:15 2026 A1: 142965026111691946602044956952586 Fri Jul 24 20:26:15 2026 A2: -73344868165537807318536923 Fri Jul 24 20:26:15 2026 A3: 1155261591876452014 Fri Jul 24 20:26:15 2026 A4: 7206668449212 Fri Jul 24 20:26:15 2026 A5: 20160 Fri Jul 24 20:26:15 2026 skew 6762694.94, size 4.129e-16, alpha -6.688, combined = 6.819e-13 rroots = 3 Fri Jul 24 20:26:15 2026 Fri Jul 24 20:26:15 2026 commencing linear algebra Fri Jul 24 20:26:15 2026 using VBITS=256 Fri Jul 24 20:26:15 2026 skipping matrix build Fri Jul 24 20:26:15 2026 initialized process (0,0) of 1 x 1 grid Fri Jul 24 20:26:19 2026 matrix starts at (0, 0) Fri Jul 24 20:26:20 2026 matrix is 7662982 x 7663157 (3615.9 MB) with weight 1090351869 (142.28/col) Fri Jul 24 20:26:20 2026 sparse part has weight 863590107 (112.69/col) Fri Jul 24 20:26:20 2026 saving the first 240 matrix rows for later Fri Jul 24 20:26:21 2026 matrix includes 256 packed rows Fri Jul 24 20:26:23 2026 matrix is 7662742 x 7663157 (3246.0 MB) with weight 779571846 (101.73/col) Fri Jul 24 20:26:23 2026 sparse part has weight 728317301 (95.04/col) Fri Jul 24 20:26:23 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Fri Jul 24 20:26:40 2026 commencing Lanczos iteration (64 threads) Fri Jul 24 20:26:40 2026 memory use: 4693.3 MB Fri Jul 24 20:27:43 2026 linear algebra at 0.4%, ETA 4h17m Fri Jul 24 20:29:14 2026 checking every 30000 dimensions, checkpointing every 1830000 dimensions Sat Jul 25 00:43:07 2026 lanczos halted after 30023 iterations (dim = 7662740) Sat Jul 25 00:44:17 2026 recovered 29 nontrivial dependencies Sat Jul 25 00:44:19 2026 BLanczosTime: 15484 Sat Jul 25 00:44:19 2026 Sat Jul 25 00:44:19 2026 commencing square root phase Sat Jul 25 00:44:19 2026 handling dependencies 1 to 64 Sat Jul 25 00:44:19 2026 reading relations for dependency 1 Sat Jul 25 00:44:21 2026 read 3830390 cycles Sat Jul 25 00:44:41 2026 cycles contain 14155572 unique relations Sat Jul 25 00:47:40 2026 read 14155572 relations Sat Jul 25 00:50:05 2026 multiplying 14155572 relations Sat Jul 25 00:53:04 2026 multiply complete, coefficients have about 778.19 million bits Sat Jul 25 00:53:08 2026 initial square root is modulo 9583423 Sat Jul 25 01:03:00 2026 sqrtTime: 1121 Sat Jul 25 01:03:00 2026 p61 factor: 4506441498558517439677057926584952939103283784589140562763359 Sat Jul 25 01:03:00 2026 p106 factor: 1338076742765497817048390129064631080534588392370730086465320214474191066067589697780822170169403245590463 Sat Jul 25 01:03:00 2026 elapsed time 04:36:47