Wed Aug 5 09:30:04 2026 Wed Aug 5 09:30:04 2026 Wed Aug 5 09:30:04 2026 Msieve v. 1.54 (SVN unknown) Wed Aug 5 09:30:04 2026 random seeds: 45c25f5b c0ec46a5 Wed Aug 5 09:30:04 2026 Using 14 OpenMP threads Wed Aug 5 09:30:04 2026 factoring 127184291169318851061385334764992603987955076156721699708107427319978275017407708799528259104394367609083493564893821097025255089194804748107208706549112880440286234259 (168 digits) Wed Aug 5 09:30:04 2026 no P-1/P+1/ECM available, skipping Wed Aug 5 09:30:04 2026 commencing number field sieve (168-digit input) Wed Aug 5 09:30:04 2026 R0: -384575956843799137516022810287220 Wed Aug 5 09:30:04 2026 R1: 879622710561903340993 Wed Aug 5 09:30:04 2026 A0: -9098970072215438738691572769762875758948 Wed Aug 5 09:30:04 2026 A1: -1120818862646208639142064220010800 Wed Aug 5 09:30:04 2026 A2: 353374257679605924827481555 Wed Aug 5 09:30:04 2026 A3: 55395852570562046395 Wed Aug 5 09:30:04 2026 A4: -1763527108512 Wed Aug 5 09:30:04 2026 A5: 60480 Wed Aug 5 09:30:04 2026 skew 9798870.40, size 3.290e-16, alpha -7.561, combined = 6.040e-13 rroots = 1 Wed Aug 5 09:30:04 2026 Wed Aug 5 09:30:04 2026 commencing relation filtering Wed Aug 5 09:30:04 2026 estimated available RAM is 78540.1 MB Wed Aug 5 09:30:04 2026 commencing duplicate removal, pass 1 Wed Aug 5 09:30:36 2026 error -1 reading relation 52242082 Wed Aug 5 09:30:39 2026 error -1 reading relation 57142211 Wed Aug 5 09:30:39 2026 error -1 reading relation 57157439 Wed Aug 5 09:30:55 2026 error -1 reading relation 82826618 Wed Aug 5 09:30:59 2026 error -1 reading relation 88539354 Wed Aug 5 09:31:03 2026 error -1 reading relation 95283631 Wed Aug 5 09:31:04 2026 error -1 reading relation 97504787 Wed Aug 5 09:31:05 2026 error -1 reading relation 99194997 Wed Aug 5 09:31:09 2026 error -1 reading relation 103849320 Wed Aug 5 09:31:14 2026 error -1 reading relation 112109449 Wed Aug 5 09:31:31 2026 error -15 reading relation 140210904 Wed Aug 5 09:31:33 2026 error -1 reading relation 143006085 Wed Aug 5 09:31:45 2026 error -1 reading relation 162601854 Wed Aug 5 09:31:52 2026 error -1 reading relation 173528759 Wed Aug 5 09:31:52 2026 error -1 reading relation 173854049 Wed Aug 5 09:31:52 2026 error -1 reading relation 174029608 Wed Aug 5 09:31:52 2026 skipped 89 malformed relations Wed Aug 5 09:31:52 2026 found 38088657 hash collisions in 174520406 relations Wed Aug 5 09:32:04 2026 added 121964 free relations Wed Aug 5 09:32:04 2026 commencing duplicate removal, pass 2 Wed Aug 5 09:32:58 2026 found 41607514 duplicates and 133034856 unique relations Wed Aug 5 09:32:58 2026 memory use: 1321.5 MB Wed Aug 5 09:32:58 2026 reading ideals above 720000 Wed Aug 5 09:32:58 2026 commencing singleton removal, initial pass Wed Aug 5 09:36:42 2026 memory use: 3012.0 MB Wed Aug 5 09:36:42 2026 reading all ideals from disk Wed Aug 5 09:36:44 2026 memory use: 6099.2 MB Wed Aug 5 09:36:50 2026 keeping 125352625 ideals with weight <= 200, target excess is 685232 Wed Aug 5 09:36:58 2026 commencing in-memory singleton removal Wed Aug 5 09:36:59 2026 begin with 133034856 relations and 125352625 unique ideals Wed Aug 5 09:37:07 2026 reduce to 80660501 relations and 67398409 ideals in 14 passes Wed Aug 5 09:37:07 2026 max relations containing the same ideal: 151 Wed Aug 5 09:37:24 2026 removing 9802808 relations and 7802808 ideals in 2000000 cliques Wed Aug 5 09:37:26 2026 commencing in-memory singleton removal Wed Aug 5 09:37:27 2026 begin with 70857693 relations and 67398409 unique ideals Wed Aug 5 09:37:30 2026 reduce to 69927987 relations and 58637347 ideals in 8 passes Wed Aug 5 09:37:30 2026 max relations containing the same ideal: 139 Wed Aug 5 09:37:45 2026 removing 7737439 relations and 5737439 ideals in 2000000 cliques Wed Aug 5 09:37:46 2026 commencing in-memory singleton removal Wed Aug 5 09:37:47 2026 begin with 62190548 relations and 58637347 unique ideals Wed Aug 5 09:37:49 2026 reduce to 61499878 relations and 52189782 ideals in 8 passes Wed Aug 5 09:37:49 2026 max relations containing the same ideal: 128 Wed Aug 5 09:38:03 2026 removing 7194920 relations and 5194920 ideals in 2000000 cliques Wed Aug 5 09:38:05 2026 commencing in-memory singleton removal Wed Aug 5 09:38:05 2026 begin with 54304958 relations and 52189782 unique ideals Wed Aug 5 09:38:07 2026 reduce to 53633852 relations and 46303653 ideals in 7 passes Wed Aug 5 09:38:07 2026 max relations containing the same ideal: 114 Wed Aug 5 09:38:18 2026 removing 6975787 relations and 4975787 ideals in 2000000 cliques Wed Aug 5 09:38:20 2026 commencing in-memory singleton removal Wed Aug 5 09:38:20 2026 begin with 46658065 relations and 46303653 unique ideals Wed Aug 5 09:38:22 2026 reduce to 45949867 relations and 40595974 ideals in 9 passes Wed Aug 5 09:38:22 2026 max relations containing the same ideal: 103 Wed Aug 5 09:38:33 2026 removing 6882824 relations and 4882824 ideals in 2000000 cliques Wed Aug 5 09:38:34 2026 commencing in-memory singleton removal Wed Aug 5 09:38:34 2026 begin with 39067043 relations and 40595974 unique ideals Wed Aug 5 09:38:36 2026 reduce to 38272176 relations and 34887401 ideals in 9 passes Wed Aug 5 09:38:36 2026 max relations containing the same ideal: 91 Wed Aug 5 09:38:46 2026 removing 6877165 relations and 4877165 ideals in 2000000 cliques Wed Aug 5 09:38:46 2026 commencing in-memory singleton removal Wed Aug 5 09:38:46 2026 begin with 31395011 relations and 34887401 unique ideals Wed Aug 5 09:38:48 2026 reduce to 30445206 relations and 29016479 ideals in 10 passes Wed Aug 5 09:38:48 2026 max relations containing the same ideal: 80 Wed Aug 5 09:38:56 2026 removing 2859415 relations and 2225558 ideals in 633857 cliques Wed Aug 5 09:38:57 2026 commencing in-memory singleton removal Wed Aug 5 09:38:57 2026 begin with 27585791 relations and 29016479 unique ideals Wed Aug 5 09:38:58 2026 reduce to 27394917 relations and 26596513 ideals in 7 passes Wed Aug 5 09:38:58 2026 max relations containing the same ideal: 74 Wed Aug 5 09:39:07 2026 relations with 0 large ideals: 2609 Wed Aug 5 09:39:07 2026 relations with 1 large ideals: 13306 Wed Aug 5 09:39:07 2026 relations with 2 large ideals: 190139 Wed Aug 5 09:39:07 2026 relations with 3 large ideals: 1129415 Wed Aug 5 09:39:07 2026 relations with 4 large ideals: 3569991 Wed Aug 5 09:39:07 2026 relations with 5 large ideals: 6633196 Wed Aug 5 09:39:07 2026 relations with 6 large ideals: 7581785 Wed Aug 5 09:39:07 2026 relations with 7+ large ideals: 8274476 Wed Aug 5 09:39:07 2026 commencing 2-way merge Wed Aug 5 09:39:18 2026 reduce to 17354183 relation sets and 16555779 unique ideals Wed Aug 5 09:39:18 2026 commencing full merge Wed Aug 5 09:42:08 2026 memory use: 1996.3 MB Wed Aug 5 09:42:09 2026 found 8577475 cycles, need 8469979 Wed Aug 5 09:42:11 2026 weight of 8469979 cycles is about 762369655 (90.01/cycle) Wed Aug 5 09:42:11 2026 distribution of cycle lengths: Wed Aug 5 09:42:11 2026 1 relations: 674426 Wed Aug 5 09:42:11 2026 2 relations: 790288 Wed Aug 5 09:42:11 2026 3 relations: 847813 Wed Aug 5 09:42:11 2026 4 relations: 816041 Wed Aug 5 09:42:11 2026 5 relations: 795545 Wed Aug 5 09:42:11 2026 6 relations: 751650 Wed Aug 5 09:42:11 2026 7 relations: 691717 Wed Aug 5 09:42:11 2026 8 relations: 618584 Wed Aug 5 09:42:11 2026 9 relations: 539892 Wed Aug 5 09:42:11 2026 10+ relations: 1944023 Wed Aug 5 09:42:11 2026 heaviest cycle: 22 relations Wed Aug 5 09:42:13 2026 commencing cycle optimization Wed Aug 5 09:42:22 2026 start with 55579230 relations Wed Aug 5 09:43:15 2026 pruned 1811880 relations Wed Aug 5 09:43:15 2026 memory use: 1697.7 MB Wed Aug 5 09:43:15 2026 distribution of cycle lengths: Wed Aug 5 09:43:15 2026 1 relations: 674426 Wed Aug 5 09:43:15 2026 2 relations: 809996 Wed Aug 5 09:43:15 2026 3 relations: 882212 Wed Aug 5 09:43:15 2026 4 relations: 844121 Wed Aug 5 09:43:15 2026 5 relations: 825603 Wed Aug 5 09:43:15 2026 6 relations: 775811 Wed Aug 5 09:43:15 2026 7 relations: 713594 Wed Aug 5 09:43:15 2026 8 relations: 630782 Wed Aug 5 09:43:15 2026 9 relations: 545135 Wed Aug 5 09:43:15 2026 10+ relations: 1768299 Wed Aug 5 09:43:15 2026 heaviest cycle: 21 relations Wed Aug 5 09:43:23 2026 RelProcTime: 799 Wed Aug 5 09:43:24 2026 Wed Aug 5 09:43:24 2026 commencing linear algebra Wed Aug 5 09:43:24 2026 using VBITS=256 Wed Aug 5 09:43:24 2026 read 8469979 cycles Wed Aug 5 09:43:32 2026 cycles contain 26886059 unique relations Wed Aug 5 09:43:44 2026 read 26886059 relations Wed Aug 5 09:43:47 2026 using 20 quadratic characters above 4294917295 Wed Aug 5 09:43:52 2026 building initial matrix Wed Aug 5 09:46:35 2026 memory use: 3685.7 MB Wed Aug 5 09:46:37 2026 read 8469979 cycles Wed Aug 5 09:46:38 2026 matrix is 8469797 x 8469979 (3162.4 MB) with weight 982287636 (115.97/col) Wed Aug 5 09:46:38 2026 sparse part has weight 727362026 (85.88/col) Wed Aug 5 09:47:17 2026 filtering completed in 2 passes Wed Aug 5 09:47:18 2026 matrix is 8467983 x 8468165 (3162.2 MB) with weight 982208216 (115.99/col) Wed Aug 5 09:47:18 2026 sparse part has weight 727338032 (85.89/col) Wed Aug 5 09:47:29 2026 matrix starts at (0, 0) Wed Aug 5 09:47:29 2026 matrix is 8467983 x 8468165 (3162.2 MB) with weight 982208216 (115.99/col) Wed Aug 5 09:47:29 2026 sparse part has weight 727338032 (85.89/col) Wed Aug 5 09:47:29 2026 saving the first 240 matrix rows for later Wed Aug 5 09:47:30 2026 matrix includes 256 packed rows Wed Aug 5 09:47:31 2026 matrix is 8467743 x 8468165 (2876.6 MB) with weight 661955044 (78.17/col) Wed Aug 5 09:47:31 2026 sparse part has weight 618605599 (73.05/col) Wed Aug 5 09:47:32 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Aug 5 09:47:32 2026 selected card has CUDA arch 12.0 Wed Aug 5 09:47:32 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 73.1) Wed Aug 5 09:47:32 2026 nonzeros per matrix block: 256000000 Wed Aug 5 09:47:55 2026 commencing Lanczos iteration Wed Aug 5 09:47:55 2026 memory use: 6980.8 MB Wed Aug 5 09:48:14 2026 linear algebra at 0.4%, ETA 1h27m Wed Aug 5 09:48:42 2026 checking every 90000 dimensions, checkpointing every 5940000 dimensions Wed Aug 5 11:12:51 2026 lanczos halted after 33177 iterations (dim = 8467741) Wed Aug 5 11:13:10 2026 recovered 31 nontrivial dependencies Wed Aug 5 11:13:10 2026 BLanczosTime: 5386 Wed Aug 5 11:13:10 2026 Wed Aug 5 11:13:10 2026 commencing square root phase Wed Aug 5 11:13:10 2026 handling dependencies 1 to 64 Wed Aug 5 11:13:10 2026 reading relations for dependency 1 Wed Aug 5 11:13:11 2026 read 4233505 cycles Wed Aug 5 11:13:15 2026 cycles contain 13440684 unique relations Wed Aug 5 11:13:24 2026 read 13440684 relations Wed Aug 5 11:13:52 2026 multiplying 13440684 relations Wed Aug 5 11:14:44 2026 multiply complete, coefficients have about 716.90 million bits Wed Aug 5 11:14:45 2026 initial square root is modulo 2701957 Wed Aug 5 11:16:43 2026 GCD is N, no factor found Wed Aug 5 11:16:43 2026 reading relations for dependency 2 Wed Aug 5 11:16:44 2026 read 4233969 cycles Wed Aug 5 11:16:48 2026 cycles contain 13439098 unique relations Wed Aug 5 11:16:56 2026 read 13439098 relations Wed Aug 5 11:17:23 2026 multiplying 13439098 relations Wed Aug 5 11:18:14 2026 multiply complete, coefficients have about 716.82 million bits Wed Aug 5 11:18:15 2026 initial square root is modulo 2697439 Wed Aug 5 11:20:14 2026 sqrtTime: 424 Wed Aug 5 11:20:14 2026 p55 factor: 4723737165536455828216445245672277828416188181064635099 Wed Aug 5 11:20:14 2026 p113 factor: 26924506320383945986115180131531219138829505065996695092514340160694505103090272085905671120865736980135440284841 Wed Aug 5 11:20:14 2026 elapsed time 01:50:10