Wed Jun 24 23:54:11 2026 Wed Jun 24 23:54:11 2026 Wed Jun 24 23:54:11 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 24 23:54:11 2026 random seeds: a074be92 3945c841 Wed Jun 24 23:54:11 2026 MPI process 0 of 1 Wed Jun 24 23:54:11 2026 Using 32 OpenMP threads Wed Jun 24 23:54:11 2026 factoring 198464605843103665916863316803242826246935735085825654095924788818044744828900057621415561322515709814603944145079532313208862503517598337448789146980096460294392341298121576317095509163 (186 digits) Wed Jun 24 23:54:12 2026 searching for 15-digit factors Wed Jun 24 23:54:12 2026 commencing number field sieve (186-digit input) Wed Jun 24 23:54:12 2026 R0: -450485396523978139383547550355090170 Wed Jun 24 23:54:12 2026 R1: 10314899529105919678310047 Wed Jun 24 23:54:12 2026 A0: 2472055891204723530345793808584942563700488 Wed Jun 24 23:54:12 2026 A1: -1128519779812451376016273388455543017 Wed Jun 24 23:54:12 2026 A2: -506134731046410231291211131100 Wed Jun 24 23:54:12 2026 A3: 8337426131628108617479 Wed Jun 24 23:54:12 2026 A4: 589458778726290 Wed Jun 24 23:54:12 2026 A5: 21381360 Wed Jun 24 23:54:12 2026 skew 15797637.44, size 3.534e-18, alpha -7.038, combined = 3.798e-14 rroots = 3 Wed Jun 24 23:54:12 2026 Wed Jun 24 23:54:12 2026 commencing relation filtering Wed Jun 24 23:54:12 2026 setting target matrix density to 130.0 Wed Jun 24 23:54:12 2026 estimated available RAM is 257736.5 MB Wed Jun 24 23:54:12 2026 commencing duplicate removal, pass 1 Wed Jun 24 23:55:23 2026 error -1 reading relation 44269672 Wed Jun 24 23:56:25 2026 error -1 reading relation 91580997 Wed Jun 24 23:56:33 2026 error -1 reading relation 97676470 Wed Jun 24 23:56:40 2026 error -1 reading relation 102739582 Wed Jun 24 23:56:43 2026 error -1 reading relation 105190768 Wed Jun 24 23:57:29 2026 error -1 reading relation 137843297 Wed Jun 24 23:57:51 2026 error -1 reading relation 154021756 Wed Jun 24 23:57:54 2026 error -1 reading relation 156566175 Wed Jun 24 23:58:03 2026 error -1 reading relation 163037976 Wed Jun 24 23:58:26 2026 error -1 reading relation 180481331 Wed Jun 24 23:58:29 2026 error -1 reading relation 183294747 Wed Jun 24 23:58:30 2026 error -1 reading relation 184062874 Wed Jun 24 23:58:34 2026 error -1 reading relation 186588997 Wed Jun 24 23:58:42 2026 error -1 reading relation 192587842 Wed Jun 24 23:58:55 2026 error -1 reading relation 202915302 Wed Jun 24 23:58:55 2026 error -1 reading relation 202932734 Wed Jun 24 23:58:56 2026 error -1 reading relation 203482473 Wed Jun 24 23:58:56 2026 error -1 reading relation 203513839 Wed Jun 24 23:58:56 2026 error -1 reading relation 203543044 Wed Jun 24 23:58:58 2026 error -1 reading relation 204831626 Wed Jun 24 23:58:59 2026 error -1 reading relation 205885600 Wed Jun 24 23:59:04 2026 error -1 reading relation 209419808 Wed Jun 24 23:59:20 2026 error -1 reading relation 221499880 Wed Jun 24 23:59:35 2026 error -15 reading relation 232569090 Wed Jun 24 23:59:37 2026 error -1 reading relation 234353861 Wed Jun 24 23:59:51 2026 error -1 reading relation 245377985 Thu Jun 25 00:00:03 2026 error -1 reading relation 254440325 Thu Jun 25 00:00:04 2026 error -1 reading relation 254683883 Thu Jun 25 00:00:13 2026 error -1 reading relation 261967086 Thu Jun 25 00:00:20 2026 error -1 reading relation 266663902 Thu Jun 25 00:00:27 2026 error -1 reading relation 272375806 Thu Jun 25 00:01:14 2026 error -1 reading relation 307888608 Thu Jun 25 00:01:22 2026 error -1 reading relation 314163937 Thu Jun 25 00:01:23 2026 error -1 reading relation 315018856 Thu Jun 25 00:01:44 2026 error -1 reading relation 330549289 Thu Jun 25 00:01:56 2026 error -1 reading relation 339740722 Thu Jun 25 00:02:09 2026 error -1 reading relation 349671269 Thu Jun 25 00:02:27 2026 error -1 reading relation 363149966 Thu Jun 25 00:02:37 2026 error -1 reading relation 370546182 Thu Jun 25 00:02:42 2026 error -1 reading relation 374505603 Thu Jun 25 00:02:43 2026 error -1 reading relation 375295905 Thu Jun 25 00:02:52 2026 error -1 reading relation 381852805 Thu Jun 25 00:02:52 2026 error -1 reading relation 382357567 Thu Jun 25 00:03:24 2026 error -1 reading relation 406464805 Thu Jun 25 00:03:27 2026 error -1 reading relation 408972230 Thu Jun 25 00:03:29 2026 error -1 reading relation 410169416 Thu Jun 25 00:03:47 2026 error -9 reading relation 424057395 Thu Jun 25 00:03:57 2026 error -1 reading relation 431035310 Thu Jun 25 00:04:04 2026 error -1 reading relation 436752443 Thu Jun 25 00:04:05 2026 error -1 reading relation 437671785 Thu Jun 25 00:04:06 2026 error -1 reading relation 437867968 Thu Jun 25 00:04:08 2026 error -1 reading relation 439644218 Thu Jun 25 00:04:15 2026 error -1 reading relation 444812535 Thu Jun 25 00:04:16 2026 error -1 reading relation 445450791 Thu Jun 25 00:04:16 2026 error -1 reading relation 445723480 Thu Jun 25 00:04:26 2026 error -1 reading relation 453516630 Thu Jun 25 00:04:26 2026 error -1 reading relation 453571871 Thu Jun 25 00:04:35 2026 skipped 1 relations with composite factors Thu Jun 25 00:04:35 2026 skipped 473 malformed relations Thu Jun 25 00:04:35 2026 found 106553975 hash collisions in 459787349 relations Thu Jun 25 00:04:57 2026 added 122282 free relations Thu Jun 25 00:04:57 2026 commencing duplicate removal, pass 2 Thu Jun 25 00:13:39 2026 found 116984636 duplicates and 342924995 unique relations Thu Jun 25 00:13:39 2026 memory use: 2899.0 MB Thu Jun 25 00:13:40 2026 reading ideals above 720000 Thu Jun 25 00:13:40 2026 commencing singleton removal, initial pass Thu Jun 25 00:31:06 2026 memory use: 11024.0 MB Thu Jun 25 00:31:07 2026 reading all ideals from disk Thu Jun 25 00:31:13 2026 memory use: 17021.6 MB Thu Jun 25 00:31:59 2026 keeping 333020190 ideals with weight <= 200, target excess is 1756131 Thu Jun 25 00:32:56 2026 commencing in-memory singleton removal Thu Jun 25 00:33:00 2026 begin with 342924995 relations and 333020190 unique ideals Thu Jun 25 00:33:24 2026 reduce to 205924241 relations and 180660210 ideals in 17 passes Thu Jun 25 00:33:24 2026 max relations containing the same ideal: 151 Thu Jun 25 00:34:45 2026 removing 14898914 relations and 12898914 ideals in 2000000 cliques Thu Jun 25 00:34:53 2026 commencing in-memory singleton removal Thu Jun 25 00:34:56 2026 begin with 191025327 relations and 180660210 unique ideals Thu Jun 25 00:35:05 2026 reduce to 190125181 relations and 166848857 ideals in 9 passes Thu Jun 25 00:35:05 2026 max relations containing the same ideal: 147 Thu Jun 25 00:36:20 2026 removing 11207318 relations and 9207318 ideals in 2000000 cliques Thu Jun 25 00:36:27 2026 commencing in-memory singleton removal Thu Jun 25 00:36:30 2026 begin with 178917863 relations and 166848857 unique ideals Thu Jun 25 00:36:37 2026 reduce to 178348028 relations and 157065120 ideals in 8 passes Thu Jun 25 00:36:37 2026 max relations containing the same ideal: 141 Thu Jun 25 00:37:48 2026 removing 10073128 relations and 8073128 ideals in 2000000 cliques Thu Jun 25 00:37:54 2026 commencing in-memory singleton removal Thu Jun 25 00:37:57 2026 begin with 168274900 relations and 157065120 unique ideals Thu Jun 25 00:38:03 2026 reduce to 167781030 relations and 148492691 ideals in 7 passes Thu Jun 25 00:38:03 2026 max relations containing the same ideal: 134 Thu Jun 25 00:39:08 2026 removing 9481813 relations and 7481813 ideals in 2000000 cliques Thu Jun 25 00:39:14 2026 commencing in-memory singleton removal Thu Jun 25 00:39:16 2026 begin with 158299217 relations and 148492691 unique ideals Thu Jun 25 00:39:22 2026 reduce to 157835163 relations and 140541534 ideals in 8 passes Thu Jun 25 00:39:22 2026 max relations containing the same ideal: 126 Thu Jun 25 00:40:22 2026 removing 9119863 relations and 7119863 ideals in 2000000 cliques Thu Jun 25 00:40:27 2026 commencing in-memory singleton removal Thu Jun 25 00:40:29 2026 begin with 148715300 relations and 140541534 unique ideals Thu Jun 25 00:40:35 2026 reduce to 148256412 relations and 132957393 ideals in 7 passes Thu Jun 25 00:40:35 2026 max relations containing the same ideal: 122 Thu Jun 25 00:41:32 2026 removing 8883326 relations and 6883326 ideals in 2000000 cliques Thu Jun 25 00:41:37 2026 commencing in-memory singleton removal Thu Jun 25 00:41:39 2026 begin with 139373086 relations and 132957393 unique ideals Thu Jun 25 00:41:45 2026 reduce to 138912245 relations and 125607625 ideals in 8 passes Thu Jun 25 00:41:45 2026 max relations containing the same ideal: 120 Thu Jun 25 00:42:38 2026 removing 8732771 relations and 6732771 ideals in 2000000 cliques Thu Jun 25 00:42:43 2026 commencing in-memory singleton removal Thu Jun 25 00:42:45 2026 begin with 130179474 relations and 125607625 unique ideals Thu Jun 25 00:42:51 2026 reduce to 129705559 relations and 118394902 ideals in 9 passes Thu Jun 25 00:42:51 2026 max relations containing the same ideal: 114 Thu Jun 25 00:43:41 2026 removing 8647257 relations and 6647257 ideals in 2000000 cliques Thu Jun 25 00:43:46 2026 commencing in-memory singleton removal Thu Jun 25 00:43:48 2026 begin with 121058302 relations and 118394902 unique ideals Thu Jun 25 00:43:52 2026 reduce to 120560410 relations and 111243126 ideals in 8 passes Thu Jun 25 00:43:52 2026 max relations containing the same ideal: 108 Thu Jun 25 00:44:38 2026 removing 8615044 relations and 6615045 ideals in 2000000 cliques Thu Jun 25 00:44:43 2026 commencing in-memory singleton removal Thu Jun 25 00:44:44 2026 begin with 111945366 relations and 111243126 unique ideals Thu Jun 25 00:44:48 2026 reduce to 111412386 relations and 104087418 ideals in 8 passes Thu Jun 25 00:44:48 2026 max relations containing the same ideal: 104 Thu Jun 25 00:45:34 2026 removing 8629026 relations and 6629026 ideals in 2000000 cliques Thu Jun 25 00:45:38 2026 commencing in-memory singleton removal Thu Jun 25 00:45:39 2026 begin with 102783360 relations and 104087418 unique ideals Thu Jun 25 00:45:43 2026 reduce to 102206988 relations and 96873138 ideals in 8 passes Thu Jun 25 00:45:43 2026 max relations containing the same ideal: 99 Thu Jun 25 00:46:22 2026 removing 8693680 relations and 6693680 ideals in 2000000 cliques Thu Jun 25 00:46:26 2026 commencing in-memory singleton removal Thu Jun 25 00:46:27 2026 begin with 93513308 relations and 96873138 unique ideals Thu Jun 25 00:46:32 2026 reduce to 92868901 relations and 89524138 ideals in 9 passes Thu Jun 25 00:46:32 2026 max relations containing the same ideal: 90 Thu Jun 25 00:47:07 2026 removing 6283928 relations and 4976277 ideals in 1307651 cliques Thu Jun 25 00:47:10 2026 commencing in-memory singleton removal Thu Jun 25 00:47:11 2026 begin with 86584973 relations and 89524138 unique ideals Thu Jun 25 00:47:14 2026 reduce to 86227175 relations and 84185713 ideals in 8 passes Thu Jun 25 00:47:14 2026 max relations containing the same ideal: 87 Thu Jun 25 00:47:58 2026 relations with 0 large ideals: 6003 Thu Jun 25 00:47:58 2026 relations with 1 large ideals: 33290 Thu Jun 25 00:47:58 2026 relations with 2 large ideals: 463420 Thu Jun 25 00:47:58 2026 relations with 3 large ideals: 2832009 Thu Jun 25 00:47:58 2026 relations with 4 large ideals: 9436290 Thu Jun 25 00:47:58 2026 relations with 5 large ideals: 18902122 Thu Jun 25 00:47:58 2026 relations with 6 large ideals: 23709354 Thu Jun 25 00:47:58 2026 relations with 7+ large ideals: 30844687 Thu Jun 25 00:47:58 2026 commencing 2-way merge Thu Jun 25 00:48:49 2026 reduce to 53837500 relation sets and 51796039 unique ideals Thu Jun 25 00:48:49 2026 ignored 1 oversize relation sets Thu Jun 25 00:48:49 2026 commencing full merge Thu Jun 25 01:04:59 2026 memory use: 6122.9 MB Thu Jun 25 01:05:03 2026 found 22990802 cycles, need 22982239 Thu Jun 25 01:05:09 2026 weight of 22982239 cycles is about 2987955038 (130.01/cycle) Thu Jun 25 01:05:09 2026 distribution of cycle lengths: Thu Jun 25 01:05:09 2026 1 relations: 1617103 Thu Jun 25 01:05:09 2026 2 relations: 1581392 Thu Jun 25 01:05:09 2026 3 relations: 1620287 Thu Jun 25 01:05:09 2026 4 relations: 1578340 Thu Jun 25 01:05:09 2026 5 relations: 1568207 Thu Jun 25 01:05:09 2026 6 relations: 1500786 Thu Jun 25 01:05:09 2026 7 relations: 1458541 Thu Jun 25 01:05:09 2026 8 relations: 1376226 Thu Jun 25 01:05:09 2026 9 relations: 1315254 Thu Jun 25 01:05:09 2026 10+ relations: 9366103 Thu Jun 25 01:05:09 2026 heaviest cycle: 28 relations Thu Jun 25 01:05:13 2026 commencing cycle optimization Thu Jun 25 01:05:55 2026 start with 206435702 relations Thu Jun 25 01:12:26 2026 pruned 8664925 relations Thu Jun 25 01:12:26 2026 memory use: 5625.1 MB Thu Jun 25 01:12:26 2026 distribution of cycle lengths: Thu Jun 25 01:12:26 2026 1 relations: 1617103 Thu Jun 25 01:12:26 2026 2 relations: 1623900 Thu Jun 25 01:12:26 2026 3 relations: 1688322 Thu Jun 25 01:12:26 2026 4 relations: 1640006 Thu Jun 25 01:12:26 2026 5 relations: 1638026 Thu Jun 25 01:12:26 2026 6 relations: 1562375 Thu Jun 25 01:12:26 2026 7 relations: 1520532 Thu Jun 25 01:12:26 2026 8 relations: 1430264 Thu Jun 25 01:12:26 2026 9 relations: 1363688 Thu Jun 25 01:12:26 2026 10+ relations: 8898023 Thu Jun 25 01:12:26 2026 heaviest cycle: 28 relations Thu Jun 25 01:12:56 2026 RelProcTime: 4724 Thu Jun 25 01:12:56 2026 Thu Jun 25 01:12:56 2026 commencing linear algebra Thu Jun 25 01:12:56 2026 using VBITS=256 Thu Jun 25 01:12:56 2026 stopping after matrix build Thu Jun 25 01:12:56 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 25 01:12:58 2026 read 22982239 cycles Thu Jun 25 01:13:37 2026 cycles contain 84816982 unique relations Thu Jun 25 01:19:50 2026 read 84816982 relations Thu Jun 25 01:20:00 2026 using 20 quadratic characters above 4294917295 Thu Jun 25 01:20:10 2026 building initial matrix Thu Jun 25 01:36:37 2026 memory use: 11964.3 MB Thu Jun 25 01:36:53 2026 read 22982239 cycles Thu Jun 25 01:36:57 2026 matrix is 22982062 x 22982239 (11642.6 MB) with weight 3532720836 (153.72/col) Thu Jun 25 01:36:57 2026 sparse part has weight 2776253972 (120.80/col) Thu Jun 25 01:42:22 2026 filtering completed in 2 passes Thu Jun 25 01:42:27 2026 matrix is 22981727 x 22981904 (11642.6 MB) with weight 3532705209 (153.72/col) Thu Jun 25 01:42:27 2026 sparse part has weight 2776250322 (120.80/col) Thu Jun 25 01:44:45 2026 BLanczosTime: 1909 Thu Jun 25 01:44:45 2026 elapsed time 01:50:34 Thu Jun 25 11:46:48 2026 Thu Jun 25 11:46:48 2026 Thu Jun 25 11:46:48 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 25 11:46:48 2026 random seeds: 6019914b c20ddad0 Thu Jun 25 11:46:48 2026 MPI process 0 of 1 Thu Jun 25 11:46:48 2026 Using 64 OpenMP threads Thu Jun 25 11:46:48 2026 factoring 198464605843103665916863316803242826246935735085825654095924788818044744828900057621415561322515709814603944145079532313208862503517598337448789146980096460294392341298121576317095509163 (186 digits) Thu Jun 25 11:46:49 2026 searching for 15-digit factors Thu Jun 25 11:46:49 2026 commencing number field sieve (186-digit input) Thu Jun 25 11:46:49 2026 R0: -450485396523978139383547550355090170 Thu Jun 25 11:46:49 2026 R1: 10314899529105919678310047 Thu Jun 25 11:46:49 2026 A0: 2472055891204723530345793808584942563700488 Thu Jun 25 11:46:49 2026 A1: -1128519779812451376016273388455543017 Thu Jun 25 11:46:49 2026 A2: -506134731046410231291211131100 Thu Jun 25 11:46:49 2026 A3: 8337426131628108617479 Thu Jun 25 11:46:49 2026 A4: 589458778726290 Thu Jun 25 11:46:49 2026 A5: 21381360 Thu Jun 25 11:46:49 2026 skew 15797637.44, size 3.534e-18, alpha -7.038, combined = 3.798e-14 rroots = 3 Thu Jun 25 11:46:49 2026 Thu Jun 25 11:46:49 2026 commencing linear algebra Thu Jun 25 11:46:49 2026 using VBITS=256 Thu Jun 25 11:46:49 2026 skipping matrix build Thu Jun 25 11:46:49 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 25 11:47:01 2026 matrix starts at (0, 0) Thu Jun 25 11:47:04 2026 matrix is 22981727 x 22981904 (11642.6 MB) with weight 3532705209 (153.72/col) Thu Jun 25 11:47:04 2026 sparse part has weight 2776250322 (120.80/col) Thu Jun 25 11:47:04 2026 saving the first 240 matrix rows for later Thu Jun 25 11:47:09 2026 matrix includes 256 packed rows Thu Jun 25 11:47:16 2026 matrix is 22981487 x 22981904 (10626.4 MB) with weight 2563332090 (111.54/col) Thu Jun 25 11:47:16 2026 sparse part has weight 2417924531 (105.21/col) Thu Jun 25 11:47:16 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Jun 25 11:48:13 2026 commencing Lanczos iteration (64 threads) Thu Jun 25 11:48:13 2026 memory use: 15051.6 MB Thu Jun 25 11:51:45 2026 linear algebra at 0.1%, ETA 43h17m Thu Jun 25 11:56:52 2026 checking every 10000 dimensions, checkpointing every 540000 dimensions Sat Jun 27 07:13:32 2026 lanczos halted after 90042 iterations (dim = 22981485) Sat Jun 27 07:15:23 2026 recovered 29 nontrivial dependencies Sat Jun 27 07:15:26 2026 BLanczosTime: 156517 Sat Jun 27 07:15:26 2026 Sat Jun 27 07:15:26 2026 commencing square root phase Sat Jun 27 07:15:26 2026 handling dependencies 1 to 64 Sat Jun 27 07:15:26 2026 reading relations for dependency 1 Sat Jun 27 07:15:28 2026 read 11492306 cycles Sat Jun 27 07:16:41 2026 cycles contain 42411850 unique relations Sat Jun 27 07:27:26 2026 read 42411850 relations Sat Jun 27 07:37:07 2026 multiplying 42411850 relations Sat Jun 27 07:48:17 2026 multiply complete, coefficients have about 2685.01 million bits Sat Jun 27 07:48:30 2026 initial square root is modulo 1052221 Sat Jun 27 08:30:21 2026 sqrtTime: 4495 Sat Jun 27 08:30:21 2026 p77 factor: 24721382036569248633422964130643251279044526779348091313163597212058053224633 Sat Jun 27 08:30:21 2026 p109 factor: 8028054643123258223580834761065066284770308437586240555633484461326302197030721672375571010925507318774945411 Sat Jun 27 08:30:21 2026 elapsed time 44:43:33