Thu Aug 20 11:57:16 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Aug 20 11:57:16 2026 random seeds: 41250a30 0e17c5ba Thu Aug 20 11:57:16 2026 factoring 11226991864940789540448310333312758596028757636521420988724321697195428717582815910265575707247079713238910224375559306364645988035927452758878997319251688744783 (161 digits) Thu Aug 20 11:57:17 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 11:57:17 2026 commencing number field sieve (161-digit input) Thu Aug 20 11:57:17 2026 R0: -14933431305004873321013269519717 Thu Aug 20 11:57:17 2026 R1: 555921035890277098459 Thu Aug 20 11:57:17 2026 A0: -37583118314874444632404424406393142332 Thu Aug 20 11:57:17 2026 A1: 32598923477326798556129773253109 Thu Aug 20 11:57:17 2026 A2: 1985144549121664434693078 Thu Aug 20 11:57:17 2026 A3: -5598893565063620479 Thu Aug 20 11:57:17 2026 A4: -323067808816 Thu Aug 20 11:57:17 2026 A5: 60480 Thu Aug 20 11:57:17 2026 skew 3990889.80, size 2.101e-15, alpha -6.931, combined = 1.837e-12 rroots = 3 Thu Aug 20 11:57:17 2026 Thu Aug 20 11:57:17 2026 commencing relation filtering Thu Aug 20 11:57:17 2026 estimated available RAM is 31871.6 MB Thu Aug 20 11:57:17 2026 commencing duplicate removal, pass 1 Thu Aug 20 11:58:43 2026 error -1 reading relation 8849260 Thu Aug 20 11:58:43 2026 error -1 reading relation 8849261 Thu Aug 20 11:59:07 2026 error -1 reading relation 11423061 Thu Aug 20 11:59:34 2026 error -1 reading relation 14267938 Thu Aug 20 12:01:55 2026 error -1 reading relation 28346270 Thu Aug 20 12:02:14 2026 error -1 reading relation 30132260 Thu Aug 20 12:02:41 2026 error -1 reading relation 32968624 Thu Aug 20 12:02:41 2026 error -1 reading relation 32968625 Thu Aug 20 12:02:54 2026 error -1 reading relation 34285690 Thu Aug 20 12:02:55 2026 error -1 reading relation 34427177 Thu Aug 20 12:02:55 2026 error -6 reading relation 34427178 Thu Aug 20 12:04:28 2026 error -1 reading relation 43883401 Thu Aug 20 12:04:28 2026 error -1 reading relation 43883402 Thu Aug 20 12:04:49 2026 error -1 reading relation 46181347 Thu Aug 20 12:04:52 2026 error -1 reading relation 46455996 Thu Aug 20 12:05:24 2026 error -1 reading relation 49459483 Thu Aug 20 12:05:24 2026 error -1 reading relation 49459484 Thu Aug 20 12:06:08 2026 error -1 reading relation 53847926 Thu Aug 20 12:06:35 2026 error -1 reading relation 56548462 Thu Aug 20 12:06:37 2026 error -1 reading relation 56775760 Thu Aug 20 12:07:21 2026 error -1 reading relation 61176840 Thu Aug 20 12:07:35 2026 error -1 reading relation 62689535 Thu Aug 20 12:07:57 2026 error -1 reading relation 64822683 Thu Aug 20 12:08:22 2026 error -1 reading relation 67309981 Thu Aug 20 12:08:59 2026 error -1 reading relation 70937181 Thu Aug 20 12:08:59 2026 error -1 reading relation 70937182 Thu Aug 20 12:08:59 2026 error -1 reading relation 70937183 Thu Aug 20 12:09:10 2026 error -1 reading relation 72072092 Thu Aug 20 12:09:10 2026 error -1 reading relation 72072093 Thu Aug 20 12:09:10 2026 error -1 reading relation 72072094 Thu Aug 20 12:09:20 2026 error -1 reading relation 72871547 Thu Aug 20 12:10:33 2026 error -1 reading relation 80398987 Thu Aug 20 12:12:14 2026 error -6 reading relation 91398935 Thu Aug 20 12:14:07 2026 error -1 reading relation 103643755 Thu Aug 20 12:16:25 2026 skipped 3 malformed relations Thu Aug 20 12:16:25 2026 found 3154256 hash collisions in 118544814 relations Thu Aug 20 12:16:59 2026 added 122639 free relations Thu Aug 20 12:16:59 2026 commencing duplicate removal, pass 2 Thu Aug 20 12:19:49 2026 found 0 duplicates and 118667453 unique relations Thu Aug 20 12:19:49 2026 memory use: 389.2 MB Thu Aug 20 12:19:49 2026 reading ideals above 720000 Thu Aug 20 12:19:49 2026 commencing singleton removal, initial pass Thu Aug 20 12:44:47 2026 memory use: 3012.0 MB Thu Aug 20 12:44:47 2026 reading all ideals from disk Thu Aug 20 12:45:25 2026 memory use: 5282.1 MB Thu Aug 20 12:45:51 2026 keeping 113520417 ideals with weight <= 200, target excess is 618032 Thu Aug 20 12:46:17 2026 commencing in-memory singleton removal Thu Aug 20 12:46:43 2026 begin with 118667453 relations and 113520417 unique ideals Thu Aug 20 12:48:59 2026 reduce to 63062373 relations and 51016705 ideals in 14 passes Thu Aug 20 12:48:59 2026 max relations containing the same ideal: 136 Thu Aug 20 12:50:16 2026 removing 9562883 relations and 7562883 ideals in 2000000 cliques Thu Aug 20 12:50:21 2026 commencing in-memory singleton removal Thu Aug 20 12:50:33 2026 begin with 53499490 relations and 51016705 unique ideals Thu Aug 20 12:51:25 2026 reduce to 52427184 relations and 42340122 ideals in 9 passes Thu Aug 20 12:51:25 2026 max relations containing the same ideal: 121 Thu Aug 20 12:52:22 2026 removing 7450873 relations and 5450873 ideals in 2000000 cliques Thu Aug 20 12:52:26 2026 commencing in-memory singleton removal Thu Aug 20 12:52:35 2026 begin with 44976311 relations and 42340122 unique ideals Thu Aug 20 12:53:26 2026 reduce to 44193021 relations and 36076538 ideals in 9 passes Thu Aug 20 12:53:26 2026 max relations containing the same ideal: 107 Thu Aug 20 12:54:13 2026 removing 6870408 relations and 4870408 ideals in 2000000 cliques Thu Aug 20 12:54:17 2026 commencing in-memory singleton removal Thu Aug 20 12:54:25 2026 begin with 37322613 relations and 36076538 unique ideals Thu Aug 20 12:54:58 2026 reduce to 36575976 relations and 30428349 ideals in 8 passes Thu Aug 20 12:54:58 2026 max relations containing the same ideal: 102 Thu Aug 20 12:55:40 2026 removing 6585855 relations and 4585855 ideals in 2000000 cliques Thu Aug 20 12:55:44 2026 commencing in-memory singleton removal Thu Aug 20 12:55:49 2026 begin with 29990121 relations and 30428349 unique ideals Thu Aug 20 12:56:14 2026 reduce to 29205944 relations and 25019731 ideals in 8 passes Thu Aug 20 12:56:14 2026 max relations containing the same ideal: 86 Thu Aug 20 12:56:46 2026 removing 6401155 relations and 4401155 ideals in 2000000 cliques Thu Aug 20 12:56:49 2026 commencing in-memory singleton removal Thu Aug 20 12:56:54 2026 begin with 22804789 relations and 25019731 unique ideals Thu Aug 20 12:57:15 2026 reduce to 21926931 relations and 19686662 ideals in 8 passes Thu Aug 20 12:57:15 2026 max relations containing the same ideal: 72 Thu Aug 20 12:57:38 2026 removing 5027750 relations and 3504399 ideals in 1523351 cliques Thu Aug 20 12:57:41 2026 commencing in-memory singleton removal Thu Aug 20 12:57:43 2026 begin with 16899181 relations and 19686662 unique ideals Thu Aug 20 12:57:57 2026 reduce to 16197737 relations and 15437057 ideals in 9 passes Thu Aug 20 12:57:57 2026 max relations containing the same ideal: 56 Thu Aug 20 12:58:17 2026 removing 280786 relations and 237024 ideals in 43762 cliques Thu Aug 20 12:58:18 2026 commencing in-memory singleton removal Thu Aug 20 12:58:21 2026 begin with 15916951 relations and 15437057 unique ideals Thu Aug 20 12:58:30 2026 reduce to 15914268 relations and 15197345 ideals in 6 passes Thu Aug 20 12:58:30 2026 max relations containing the same ideal: 55 Thu Aug 20 12:58:34 2026 relations with 0 large ideals: 2196 Thu Aug 20 12:58:34 2026 relations with 1 large ideals: 16504 Thu Aug 20 12:58:34 2026 relations with 2 large ideals: 208584 Thu Aug 20 12:58:34 2026 relations with 3 large ideals: 1075619 Thu Aug 20 12:58:34 2026 relations with 4 large ideals: 2875092 Thu Aug 20 12:58:34 2026 relations with 5 large ideals: 4392932 Thu Aug 20 12:58:34 2026 relations with 6 large ideals: 4080111 Thu Aug 20 12:58:34 2026 relations with 7+ large ideals: 3263230 Thu Aug 20 12:58:34 2026 commencing 2-way merge Thu Aug 20 12:58:58 2026 reduce to 9965651 relation sets and 9248728 unique ideals Thu Aug 20 12:58:58 2026 commencing full merge Thu Aug 20 13:04:49 2026 memory use: 1171.5 MB Thu Aug 20 13:04:51 2026 found 5079919 cycles, need 4982928 Thu Aug 20 13:04:55 2026 weight of 4982928 cycles is about 448648864 (90.04/cycle) Thu Aug 20 13:04:55 2026 distribution of cycle lengths: Thu Aug 20 13:04:55 2026 1 relations: 310544 Thu Aug 20 13:04:55 2026 2 relations: 441812 Thu Aug 20 13:04:55 2026 3 relations: 499181 Thu Aug 20 13:04:55 2026 4 relations: 505982 Thu Aug 20 13:04:55 2026 5 relations: 504766 Thu Aug 20 13:04:55 2026 6 relations: 471749 Thu Aug 20 13:04:55 2026 7 relations: 438457 Thu Aug 20 13:04:56 2026 8 relations: 385155 Thu Aug 20 13:04:56 2026 9 relations: 329830 Thu Aug 20 13:04:56 2026 10+ relations: 1095452 Thu Aug 20 13:04:56 2026 heaviest cycle: 21 relations Thu Aug 20 13:04:58 2026 commencing cycle optimization Thu Aug 20 13:05:19 2026 start with 32669036 relations Thu Aug 20 13:07:03 2026 pruned 1111166 relations Thu Aug 20 13:07:04 2026 memory use: 992.1 MB Thu Aug 20 13:07:04 2026 distribution of cycle lengths: Thu Aug 20 13:07:04 2026 1 relations: 310544 Thu Aug 20 13:07:04 2026 2 relations: 453091 Thu Aug 20 13:07:04 2026 3 relations: 520995 Thu Aug 20 13:07:04 2026 4 relations: 525481 Thu Aug 20 13:07:04 2026 5 relations: 526406 Thu Aug 20 13:07:04 2026 6 relations: 489345 Thu Aug 20 13:07:04 2026 7 relations: 453201 Thu Aug 20 13:07:04 2026 8 relations: 393151 Thu Aug 20 13:07:04 2026 9 relations: 331212 Thu Aug 20 13:07:04 2026 10+ relations: 979502 Thu Aug 20 13:07:04 2026 heaviest cycle: 21 relations Thu Aug 20 13:07:18 2026 RelProcTime: 4201 Thu Aug 20 13:07:19 2026 Thu Aug 20 13:07:19 2026 commencing linear algebra Thu Aug 20 13:07:19 2026 using VBITS=256 Thu Aug 20 13:07:19 2026 read 4982928 cycles Thu Aug 20 13:07:32 2026 cycles contain 15512246 unique relations Thu Aug 20 13:10:58 2026 read 15512246 relations Thu Aug 20 13:11:57 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 13:13:40 2026 building initial matrix Thu Aug 20 13:18:58 2026 memory use: 2103.7 MB Thu Aug 20 13:19:03 2026 read 4982928 cycles Thu Aug 20 13:19:04 2026 matrix is 4982749 x 4982928 (1833.3 MB) with weight 568918636 (114.17/col) Thu Aug 20 13:19:04 2026 sparse part has weight 425784813 (85.45/col) Thu Aug 20 13:20:22 2026 filtering completed in 2 passes Thu Aug 20 13:20:24 2026 matrix is 4981932 x 4982110 (1833.2 MB) with weight 568880789 (114.18/col) Thu Aug 20 13:20:24 2026 sparse part has weight 425771286 (85.46/col) Thu Aug 20 13:20:43 2026 matrix starts at (0, 0) Thu Aug 20 13:20:43 2026 matrix is 4981932 x 4982110 (1833.2 MB) with weight 568880789 (114.18/col) Thu Aug 20 13:20:43 2026 sparse part has weight 425771286 (85.46/col) Thu Aug 20 13:20:43 2026 saving the first 240 matrix rows for later Thu Aug 20 13:20:46 2026 matrix includes 256 packed rows Thu Aug 20 13:20:48 2026 matrix is 4981692 x 4982110 (1670.0 MB) with weight 384900771 (77.26/col) Thu Aug 20 13:20:48 2026 sparse part has weight 358070163 (71.87/col) Thu Aug 20 13:20:49 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Thu Aug 20 13:20:49 2026 selected card has CUDA arch 8.6 Thu Aug 20 13:21:57 2026 commencing Lanczos iteration Thu Aug 20 13:21:59 2026 memory use: 4081.2 MB Thu Aug 20 13:22:19 2026 linear algebra at 0.6%, ETA 0h53m Thu Aug 20 13:22:47 2026 checking every 90000 dimensions, checkpointing every 5850000 dimensions Thu Aug 20 14:12:58 2026 lanczos halted after 19520 iterations (dim = 4981690) Thu Aug 20 14:13:39 2026 recovered 30 nontrivial dependencies Thu Aug 20 14:13:39 2026 BLanczosTime: 3980 Thu Aug 20 14:13:39 2026 Thu Aug 20 14:13:39 2026 commencing square root phase Thu Aug 20 14:13:39 2026 handling dependencies 1 to 64 Thu Aug 20 14:13:39 2026 reading relations for dependency 1 Thu Aug 20 14:13:41 2026 read 2490854 cycles Thu Aug 20 14:13:47 2026 cycles contain 7753966 unique relations Thu Aug 20 14:17:38 2026 read 7753966 relations Thu Aug 20 14:19:27 2026 multiplying 7753966 relations Thu Aug 20 14:29:38 2026 multiply complete, coefficients have about 403.18 million bits Thu Aug 20 14:29:41 2026 initial square root is modulo 17154773 Thu Aug 20 14:40:13 2026 sqrtTime: 1594 Thu Aug 20 14:40:13 2026 p52 factor: 2501741761624228358291812091373846981860493599882311 Thu Aug 20 14:40:13 2026 p109 factor: 4487670165305866099984044097994306349371781253618527560616398527928823266076892736131100904723051879966599353 Thu Aug 20 14:40:13 2026 elapsed time 02:42:57