Sat May 30 18:12:01 2026 Sat May 30 18:12:01 2026 Sat May 30 18:12:01 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat May 30 18:12:01 2026 random seeds: e12c7134 6523c6d3 Sat May 30 18:12:01 2026 Using 8 OpenMP threads Sat May 30 18:12:01 2026 factoring 16403199409569865746087188186293950560160818657599657672395092807589847806005471414006225775957084050893930001368160007536193899212232231877956712853738008726273682925428230124455578706295221401768606289813420171220625332345655394604181326897 (242 digits) Sat May 30 18:12:01 2026 no P-1/P+1/ECM available, skipping Sat May 30 18:12:01 2026 commencing number field sieve (242-digit input) Sat May 30 18:12:01 2026 R0: 2509844408905785314374082254988559791752022581287050 Sat May 30 18:12:01 2026 R1: -50098347367011871466301757 Sat May 30 18:12:01 2026 A0: 1 Sat May 30 18:12:01 2026 A1: 3 Sat May 30 18:12:01 2026 A2: -3 Sat May 30 18:12:01 2026 A3: -4 Sat May 30 18:12:01 2026 A4: 1 Sat May 30 18:12:01 2026 A5: 1 Sat May 30 18:12:01 2026 skew 1.49, size 1.872e-17, alpha 2.379, combined = 6.561e-14 rroots = 5 Sat May 30 18:12:01 2026 Sat May 30 18:12:01 2026 commencing relation filtering Sat May 30 18:12:01 2026 setting target matrix density to 100.0 Sat May 30 18:12:01 2026 estimated available RAM is 31872.1 MB Sat May 30 18:12:01 2026 commencing duplicate removal, pass 1 Sat May 30 18:12:16 2026 error -1 reading relation 15331955 Sat May 30 18:12:18 2026 error -1 reading relation 17177062 Sat May 30 18:12:18 2026 error -1 reading relation 17492365 Sat May 30 18:12:23 2026 error -1 reading relation 22593757 Sat May 30 18:12:57 2026 error -1 reading relation 58124327 Sat May 30 18:13:34 2026 error -1 reading relation 98573502 Sat May 30 18:13:55 2026 error -1 reading relation 121846322 Sat May 30 18:13:55 2026 error -1 reading relation 121924947 Sat May 30 18:13:56 2026 error -1 reading relation 123077006 Sat May 30 18:13:56 2026 error -1 reading relation 123195333 Sat May 30 18:13:57 2026 error -1 reading relation 123462820 Sat May 30 18:14:00 2026 error -1 reading relation 127336923 Sat May 30 18:14:02 2026 error -1 reading relation 129532183 Sat May 30 18:14:08 2026 error -1 reading relation 134993476 Sat May 30 18:14:13 2026 error -1 reading relation 140968410 Sat May 30 18:14:18 2026 error -1 reading relation 146331999 Sat May 30 18:14:18 2026 error -1 reading relation 146337823 Sat May 30 18:14:19 2026 error -1 reading relation 147354444 Sat May 30 18:14:20 2026 error -1 reading relation 148311773 Sat May 30 18:14:24 2026 error -1 reading relation 153444526 Sat May 30 18:14:25 2026 error -1 reading relation 154459551 Sat May 30 18:14:47 2026 error -1 reading relation 178397430 Sat May 30 18:14:59 2026 error -1 reading relation 190626131 Sat May 30 18:15:03 2026 error -1 reading relation 195306027 Sat May 30 18:15:28 2026 error -1 reading relation 220324535 Sat May 30 18:15:37 2026 error -1 reading relation 229086529 Sat May 30 18:15:40 2026 error -1 reading relation 232385014 Sat May 30 18:15:40 2026 error -1 reading relation 232603874 Sat May 30 18:15:49 2026 error -1 reading relation 241813125 Sat May 30 18:16:00 2026 error -1 reading relation 251881027 Sat May 30 18:16:00 2026 error -1 reading relation 252141576 Sat May 30 18:16:25 2026 error -1 reading relation 277002886 Sat May 30 18:16:38 2026 error -1 reading relation 285703657 Sat May 30 18:17:05 2026 error -1 reading relation 305744894 Sat May 30 18:17:15 2026 error -1 reading relation 313022553 Sat May 30 18:17:20 2026 error -1 reading relation 316628048 Sat May 30 18:17:20 2026 error -1 reading relation 316759678 Sat May 30 18:17:24 2026 error -1 reading relation 319702101 Sat May 30 18:17:24 2026 error -1 reading relation 319703072 Sat May 30 18:17:27 2026 error -1 reading relation 322373591 Sat May 30 18:17:40 2026 error -1 reading relation 331137974 Sat May 30 18:17:40 2026 error -1 reading relation 331345684 Sat May 30 18:17:41 2026 error -1 reading relation 331755275 Sat May 30 18:17:42 2026 error -1 reading relation 332321323 Sat May 30 18:17:42 2026 error -1 reading relation 332325827 Sat May 30 18:17:42 2026 error -15 reading relation 332571105 Sat May 30 18:17:45 2026 skipped 1 relations with composite factors Sat May 30 18:17:45 2026 skipped 355 malformed relations Sat May 30 18:17:45 2026 found 64877830 hash collisions in 335758761 relations Sat May 30 18:17:45 2026 commencing duplicate removal, pass 2 Sat May 30 18:22:28 2026 found 67642225 duplicates and 268116536 unique relations Sat May 30 18:22:28 2026 memory use: 1705.5 MB Sat May 30 18:22:28 2026 reading ideals above 154992640 Sat May 30 18:22:28 2026 commencing singleton removal, initial pass Sat May 30 18:32:06 2026 memory use: 6024.0 MB Sat May 30 18:32:06 2026 reading all ideals from disk Sat May 30 18:32:28 2026 memory use: 7050.3 MB Sat May 30 18:32:53 2026 commencing in-memory singleton removal Sat May 30 18:32:57 2026 begin with 268116536 relations and 234259718 unique ideals Sat May 30 18:33:18 2026 reduce to 167726734 relations and 123480577 ideals in 15 passes Sat May 30 18:33:18 2026 max relations containing the same ideal: 49 Sat May 30 18:33:22 2026 reading ideals above 720000 Sat May 30 18:33:22 2026 commencing singleton removal, initial pass Sat May 30 18:43:16 2026 memory use: 3012.0 MB Sat May 30 18:43:16 2026 reading all ideals from disk Sat May 30 18:44:14 2026 memory use: 8165.3 MB Sat May 30 18:44:34 2026 keeping 140018069 ideals with weight <= 200, target excess is 880932 Sat May 30 18:44:48 2026 commencing in-memory singleton removal Sat May 30 18:44:53 2026 begin with 167726734 relations and 140018069 unique ideals Sat May 30 18:45:03 2026 reduce to 167726320 relations and 140017655 ideals in 4 passes Sat May 30 18:45:03 2026 max relations containing the same ideal: 200 Sat May 30 18:45:55 2026 removing 12487304 relations and 10487304 ideals in 2000000 cliques Sat May 30 18:45:59 2026 commencing in-memory singleton removal Sat May 30 18:46:04 2026 begin with 155239016 relations and 140017655 unique ideals Sat May 30 18:46:21 2026 reduce to 154505056 relations and 128784724 ideals in 8 passes Sat May 30 18:46:21 2026 max relations containing the same ideal: 198 Sat May 30 18:47:02 2026 removing 9507852 relations and 7507852 ideals in 2000000 cliques Sat May 30 18:47:06 2026 commencing in-memory singleton removal Sat May 30 18:47:10 2026 begin with 144997204 relations and 128784724 unique ideals Sat May 30 18:47:28 2026 reduce to 144511551 relations and 120784562 ideals in 9 passes Sat May 30 18:47:28 2026 max relations containing the same ideal: 191 Sat May 30 18:48:07 2026 removing 8593609 relations and 6593609 ideals in 2000000 cliques Sat May 30 18:48:10 2026 commencing in-memory singleton removal Sat May 30 18:48:14 2026 begin with 135917942 relations and 120784562 unique ideals Sat May 30 18:48:29 2026 reduce to 135492280 relations and 113759397 ideals in 8 passes Sat May 30 18:48:29 2026 max relations containing the same ideal: 184 Sat May 30 18:49:04 2026 removing 8113651 relations and 6113651 ideals in 2000000 cliques Sat May 30 18:49:07 2026 commencing in-memory singleton removal Sat May 30 18:49:10 2026 begin with 127378629 relations and 113759397 unique ideals Sat May 30 18:49:22 2026 reduce to 126975730 relations and 107237178 ideals in 7 passes Sat May 30 18:49:22 2026 max relations containing the same ideal: 176 Sat May 30 18:49:56 2026 removing 7819571 relations and 5819571 ideals in 2000000 cliques Sat May 30 18:49:58 2026 commencing in-memory singleton removal Sat May 30 18:50:02 2026 begin with 119156159 relations and 107237178 unique ideals Sat May 30 18:50:15 2026 reduce to 118760870 relations and 101016528 ideals in 8 passes Sat May 30 18:50:15 2026 max relations containing the same ideal: 168 Sat May 30 18:50:46 2026 removing 7630722 relations and 5630722 ideals in 2000000 cliques Sat May 30 18:50:49 2026 commencing in-memory singleton removal Sat May 30 18:50:52 2026 begin with 111130148 relations and 101016528 unique ideals Sat May 30 18:51:02 2026 reduce to 110730399 relations and 94979956 ideals in 7 passes Sat May 30 18:51:02 2026 max relations containing the same ideal: 160 Sat May 30 18:51:31 2026 removing 7496842 relations and 5496842 ideals in 2000000 cliques Sat May 30 18:51:34 2026 commencing in-memory singleton removal Sat May 30 18:51:37 2026 begin with 103233557 relations and 94979956 unique ideals Sat May 30 18:51:48 2026 reduce to 102823971 relations and 89066940 ideals in 8 passes Sat May 30 18:51:48 2026 max relations containing the same ideal: 153 Sat May 30 18:52:15 2026 removing 7421851 relations and 5421851 ideals in 2000000 cliques Sat May 30 18:52:18 2026 commencing in-memory singleton removal Sat May 30 18:52:20 2026 begin with 95402120 relations and 89066940 unique ideals Sat May 30 18:52:31 2026 reduce to 94971669 relations and 83207303 ideals in 8 passes Sat May 30 18:52:31 2026 max relations containing the same ideal: 145 Sat May 30 18:52:56 2026 removing 7384404 relations and 5384404 ideals in 2000000 cliques Sat May 30 18:52:59 2026 commencing in-memory singleton removal Sat May 30 18:53:01 2026 begin with 87587265 relations and 83207303 unique ideals Sat May 30 18:53:09 2026 reduce to 87128128 relations and 77355210 ideals in 7 passes Sat May 30 18:53:09 2026 max relations containing the same ideal: 139 Sat May 30 18:53:33 2026 removing 7384549 relations and 5384549 ideals in 2000000 cliques Sat May 30 18:53:35 2026 commencing in-memory singleton removal Sat May 30 18:53:37 2026 begin with 79743579 relations and 77355210 unique ideals Sat May 30 18:53:46 2026 reduce to 79240772 relations and 71457850 ideals in 8 passes Sat May 30 18:53:46 2026 max relations containing the same ideal: 127 Sat May 30 18:54:08 2026 removing 7415526 relations and 5415526 ideals in 2000000 cliques Sat May 30 18:54:10 2026 commencing in-memory singleton removal Sat May 30 18:54:12 2026 begin with 71825246 relations and 71457850 unique ideals Sat May 30 18:54:19 2026 reduce to 71264891 relations and 65469760 ideals in 7 passes Sat May 30 18:54:19 2026 max relations containing the same ideal: 118 Sat May 30 18:54:39 2026 removing 7495531 relations and 5495531 ideals in 2000000 cliques Sat May 30 18:54:41 2026 commencing in-memory singleton removal Sat May 30 18:54:43 2026 begin with 63769360 relations and 65469760 unique ideals Sat May 30 18:54:50 2026 reduce to 63127244 relations and 59316519 ideals in 8 passes Sat May 30 18:54:50 2026 max relations containing the same ideal: 109 Sat May 30 18:55:08 2026 removing 7614516 relations and 5614516 ideals in 2000000 cliques Sat May 30 18:55:10 2026 commencing in-memory singleton removal Sat May 30 18:55:12 2026 begin with 55512728 relations and 59316519 unique ideals Sat May 30 18:55:18 2026 reduce to 54754605 relations and 52923021 ideals in 9 passes Sat May 30 18:55:18 2026 max relations containing the same ideal: 100 Sat May 30 18:55:35 2026 removing 3834473 relations and 3024771 ideals in 809702 cliques Sat May 30 18:55:36 2026 commencing in-memory singleton removal Sat May 30 18:55:37 2026 begin with 50920132 relations and 52923021 unique ideals Sat May 30 18:55:42 2026 reduce to 50713881 relations and 49689338 ideals in 7 passes Sat May 30 18:55:42 2026 max relations containing the same ideal: 95 Sat May 30 18:56:02 2026 relations with 0 large ideals: 73568 Sat May 30 18:56:02 2026 relations with 1 large ideals: 9787 Sat May 30 18:56:02 2026 relations with 2 large ideals: 117860 Sat May 30 18:56:02 2026 relations with 3 large ideals: 860222 Sat May 30 18:56:02 2026 relations with 4 large ideals: 3504293 Sat May 30 18:56:02 2026 relations with 5 large ideals: 8530532 Sat May 30 18:56:02 2026 relations with 6 large ideals: 14516946 Sat May 30 18:56:02 2026 relations with 7+ large ideals: 23100673 Sat May 30 18:56:02 2026 commencing 2-way merge Sat May 30 18:56:24 2026 reduce to 32049263 relation sets and 31024719 unique ideals Sat May 30 18:56:24 2026 commencing full merge Sat May 30 19:04:50 2026 memory use: 4166.5 MB Sat May 30 19:04:51 2026 found 15196964 cycles, need 15096919 Sat May 30 19:04:54 2026 weight of 15096919 cycles is about 1510151345 (100.03/cycle) Sat May 30 19:04:55 2026 distribution of cycle lengths: Sat May 30 19:04:55 2026 1 relations: 1333345 Sat May 30 19:04:55 2026 2 relations: 1259117 Sat May 30 19:04:55 2026 3 relations: 1226705 Sat May 30 19:04:55 2026 4 relations: 1198579 Sat May 30 19:04:55 2026 5 relations: 1169299 Sat May 30 19:04:55 2026 6 relations: 1123691 Sat May 30 19:04:55 2026 7 relations: 1075353 Sat May 30 19:04:55 2026 8 relations: 1005821 Sat May 30 19:04:55 2026 9 relations: 921296 Sat May 30 19:04:55 2026 10+ relations: 4783713 Sat May 30 19:04:55 2026 heaviest cycle: 28 relations Sat May 30 19:04:57 2026 commencing cycle optimization Sat May 30 19:05:16 2026 start with 114356965 relations Sat May 30 19:07:53 2026 pruned 4160883 relations Sat May 30 19:07:53 2026 memory use: 3257.8 MB Sat May 30 19:07:53 2026 distribution of cycle lengths: Sat May 30 19:07:53 2026 1 relations: 1333345 Sat May 30 19:07:53 2026 2 relations: 1282285 Sat May 30 19:07:53 2026 3 relations: 1268702 Sat May 30 19:07:53 2026 4 relations: 1237420 Sat May 30 19:07:53 2026 5 relations: 1216614 Sat May 30 19:07:53 2026 6 relations: 1166213 Sat May 30 19:07:53 2026 7 relations: 1118227 Sat May 30 19:07:53 2026 8 relations: 1041697 Sat May 30 19:07:53 2026 9 relations: 949695 Sat May 30 19:07:53 2026 10+ relations: 4482721 Sat May 30 19:07:53 2026 heaviest cycle: 28 relations Sat May 30 19:08:07 2026 RelProcTime: 3366 Sat May 30 19:08:07 2026 Sat May 30 19:08:07 2026 commencing linear algebra Sat May 30 19:08:07 2026 using VBITS=64 Sat May 30 19:08:08 2026 read 15096919 cycles Sat May 30 19:08:24 2026 cycles contain 50056477 unique relations Sat May 30 19:13:07 2026 read 50056477 relations Sat May 30 19:13:35 2026 using 20 quadratic characters above 4294917295 Sat May 30 19:13:55 2026 building initial matrix Sat May 30 19:20:05 2026 memory use: 6214.0 MB Sat May 30 19:20:19 2026 read 15096919 cycles Sat May 30 19:20:20 2026 matrix is 15096741 x 15096919 (6106.1 MB) with weight 1738453166 (115.15/col) Sat May 30 19:20:20 2026 sparse part has weight 1434604651 (95.03/col) Sat May 30 19:22:01 2026 filtering completed in 2 passes Sat May 30 19:22:04 2026 matrix is 15095314 x 15095488 (6106.0 MB) with weight 1738408050 (115.16/col) Sat May 30 19:22:04 2026 sparse part has weight 1434588411 (95.03/col) Sat May 30 19:22:27 2026 matrix starts at (0, 0) Sat May 30 19:22:27 2026 matrix is 15095314 x 15095488 (6106.0 MB) with weight 1738408050 (115.16/col) Sat May 30 19:22:27 2026 sparse part has weight 1434588411 (95.03/col) Sat May 30 19:22:27 2026 saving the first 48 matrix rows for later Sat May 30 19:22:29 2026 matrix includes 64 packed rows Sat May 30 19:22:30 2026 matrix is 15095266 x 15095488 (5855.7 MB) with weight 1477491023 (97.88/col) Sat May 30 19:22:30 2026 sparse part has weight 1384079705 (91.69/col) Sat May 30 19:22:30 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Sat May 30 19:22:30 2026 selected card has CUDA arch 8.6 Sat May 30 19:32:52 2026 commencing Lanczos iteration Sat May 30 19:32:53 2026 memory use: 11596.2 MB Sat May 30 19:39:08 2026 checking every 10000 dimensions, checkpointing every 190000 dimensions Sat May 30 19:42:44 2026 linear algebra at 0.2%, ETA 81h16m Wed Jun 3 04:43:28 2026 lanczos halted after 238706 iterations (dim = 15095262) Wed Jun 3 04:43:41 2026 recovered 33 nontrivial dependencies Wed Jun 3 04:43:44 2026 BLanczosTime: 293737 Wed Jun 3 04:43:44 2026 Wed Jun 3 04:43:44 2026 commencing square root phase Wed Jun 3 04:43:44 2026 handling dependencies 1 to 64 Wed Jun 3 04:43:44 2026 reading relations for dependency 1 Wed Jun 3 04:45:07 2026 read 7548991 cycles Wed Jun 3 04:45:21 2026 cycles contain 25036232 unique relations Wed Jun 3 04:47:38 2026 read 25036232 relations Wed Jun 3 04:50:12 2026 multiplying 25036232 relations Wed Jun 3 04:51:25 2026 multiply complete, coefficients have about 654.70 million bits Wed Jun 3 04:51:26 2026 initial square root is modulo 747673 Wed Jun 3 04:53:30 2026 found factor: 254520154946528630592014324740823858113754934180464466832292069486807278472095791742938859617249555471099982139299345441 Wed Jun 3 04:53:30 2026 reading relations for dependency 2 Wed Jun 3 04:53:31 2026 read 7546626 cycles Wed Jun 3 04:53:38 2026 cycles contain 25029192 unique relations Wed Jun 3 04:54:27 2026 read 25029192 relations Wed Jun 3 04:55:20 2026 multiplying 25029192 relations Wed Jun 3 04:56:33 2026 multiply complete, coefficients have about 654.52 million bits Wed Jun 3 04:56:34 2026 initial square root is modulo 744823 Wed Jun 3 04:58:36 2026 sqrtTime: 892 Wed Jun 3 04:58:36 2026 p58 factor: 8528922323148561905244606962101453022986914257564903313607 Wed Jun 3 04:58:36 2026 p62 factor: 29842006446198847068341998953357172855856549768990048681032663 Wed Jun 3 04:58:36 2026 p122 factor: 64447546061788168756204143269151778662002945896486279783076472053865711569832676659277694079588785789188364359854110758417 Wed Jun 3 04:58:36 2026 elapsed time 82:46:35