Wed Mar 11 21:06:32 2026 Wed Mar 11 21:06:32 2026 Wed Mar 11 21:06:32 2026 Msieve v. 1.54 (SVN unknown) Wed Mar 11 21:06:32 2026 random seeds: 79cb261f 966b6d27 Wed Mar 11 21:06:32 2026 factoring 1361133379956552796876956912059988708358413451507651542736030558470450203416377413407310196178587255550818724726325499817338831936188020434360371706664373851318296574253318880564981567085340224815838535699430157790614064718699857 (229 digits) Wed Mar 11 21:06:32 2026 no P-1/P+1/ECM available, skipping Wed Mar 11 21:06:32 2026 commencing number field sieve (229-digit input) Wed Mar 11 21:06:32 2026 R0: 541055227350908745077822029077890118217 Wed Mar 11 21:06:32 2026 R1: -1 Wed Mar 11 21:06:32 2026 A0: 1 Wed Mar 11 21:06:32 2026 A1: 1 Wed Mar 11 21:06:32 2026 A2: 1 Wed Mar 11 21:06:32 2026 A3: 1 Wed Mar 11 21:06:32 2026 A4: 1 Wed Mar 11 21:06:32 2026 A5: 1 Wed Mar 11 21:06:32 2026 A6: 1 Wed Mar 11 21:06:32 2026 skew 1.35, size 1.668e-11, alpha 2.428, combined = 9.310e-13 rroots = 0 Wed Mar 11 21:06:32 2026 Wed Mar 11 21:06:32 2026 commencing relation filtering Wed Mar 11 21:06:32 2026 setting target matrix density to 110.0 Wed Mar 11 21:06:32 2026 estimated available RAM is 95911.2 MB Wed Mar 11 21:06:32 2026 commencing duplicate removal, pass 1 Wed Mar 11 21:07:30 2026 error -1 reading relation 12448677 Wed Mar 11 21:07:47 2026 error -9 reading relation 15812927 Wed Mar 11 21:07:52 2026 error -15 reading relation 16662318 Wed Mar 11 21:07:57 2026 error -1 reading relation 17766514 Wed Mar 11 21:08:10 2026 error -15 reading relation 20665945 Wed Mar 11 21:08:15 2026 error -9 reading relation 21705734 Wed Mar 11 21:08:33 2026 error -15 reading relation 25376814 Wed Mar 11 21:08:35 2026 error -15 reading relation 25592565 Wed Mar 11 21:08:36 2026 error -9 reading relation 25786353 Wed Mar 11 21:09:08 2026 error -5 reading relation 32484773 Wed Mar 11 21:09:09 2026 error -5 reading relation 32778274 Wed Mar 11 21:09:11 2026 error -5 reading relation 33188098 Wed Mar 11 21:09:45 2026 error -15 reading relation 40266747 Wed Mar 11 21:10:08 2026 error -15 reading relation 44954204 Wed Mar 11 21:11:07 2026 error -9 reading relation 57220947 Wed Mar 11 21:11:20 2026 error -5 reading relation 60088852 Wed Mar 11 21:11:29 2026 error -1 reading relation 61818970 Wed Mar 11 21:12:01 2026 error -9 reading relation 67985108 Wed Mar 11 21:12:16 2026 error -9 reading relation 71042783 Wed Mar 11 21:12:17 2026 error -9 reading relation 71456430 Wed Mar 11 21:12:18 2026 error -9 reading relation 71602582 Wed Mar 11 21:12:21 2026 error -9 reading relation 72199996 Wed Mar 11 21:12:23 2026 error -5 reading relation 72511843 Wed Mar 11 21:12:23 2026 error -9 reading relation 72646563 Wed Mar 11 21:12:24 2026 error -9 reading relation 72781773 Wed Mar 11 21:12:24 2026 error -15 reading relation 72880935 Wed Mar 11 21:12:25 2026 error -9 reading relation 72915220 Wed Mar 11 21:12:29 2026 error -9 reading relation 73812199 Wed Mar 11 21:12:41 2026 error -9 reading relation 76566761 Wed Mar 11 21:12:46 2026 error -15 reading relation 77462677 Wed Mar 11 21:12:50 2026 error -15 reading relation 78363332 Wed Mar 11 21:13:30 2026 error -15 reading relation 87692812 Wed Mar 11 21:13:46 2026 error -9 reading relation 91404070 Wed Mar 11 21:13:55 2026 error -9 reading relation 93320480 Wed Mar 11 21:14:00 2026 error -1 reading relation 94474904 Wed Mar 11 21:14:00 2026 error -9 reading relation 94682941 Wed Mar 11 21:14:01 2026 error -9 reading relation 94778602 Wed Mar 11 21:14:02 2026 error -9 reading relation 94939726 Wed Mar 11 21:14:03 2026 error -15 reading relation 95333516 Wed Mar 11 21:14:04 2026 error -9 reading relation 95445068 Wed Mar 11 21:14:04 2026 error -9 reading relation 95525498 Wed Mar 11 21:14:05 2026 error -15 reading relation 95763022 Wed Mar 11 21:14:06 2026 error -5 reading relation 95875689 Wed Mar 11 21:14:06 2026 error -1 reading relation 95942569 Wed Mar 11 21:14:06 2026 error -15 reading relation 96000425 Wed Mar 11 21:14:06 2026 error -1 reading relation 96002989 Wed Mar 11 21:14:06 2026 error -15 reading relation 96033948 Wed Mar 11 21:14:06 2026 error -1 reading relation 96036577 Wed Mar 11 21:14:07 2026 error -9 reading relation 96070873 Wed Mar 11 21:14:07 2026 error -15 reading relation 96177795 Wed Mar 11 21:14:13 2026 error -9 reading relation 97485805 Wed Mar 11 21:14:13 2026 error -9 reading relation 97563232 Wed Mar 11 21:14:13 2026 error -9 reading relation 97594506 Wed Mar 11 21:14:13 2026 error -9 reading relation 97661665 Wed Mar 11 21:14:16 2026 error -1 reading relation 98261647 Wed Mar 11 21:14:16 2026 error -9 reading relation 98385712 Wed Mar 11 21:14:16 2026 error -9 reading relation 98388315 Wed Mar 11 21:14:18 2026 error -15 reading relation 98857797 Wed Mar 11 21:14:18 2026 error -9 reading relation 98857951 Wed Mar 11 21:14:21 2026 error -15 reading relation 99327254 Wed Mar 11 21:14:23 2026 error -9 reading relation 99982019 Wed Mar 11 21:14:25 2026 error -9 reading relation 100503268 Wed Mar 11 21:14:31 2026 error -9 reading relation 101575232 Wed Mar 11 21:14:33 2026 error -9 reading relation 101917809 Wed Mar 11 21:16:05 2026 error -9 reading relation 123738914 Wed Mar 11 21:16:05 2026 error -9 reading relation 123812548 Wed Mar 11 21:16:06 2026 error -15 reading relation 123974791 Wed Mar 11 21:16:06 2026 error -1 reading relation 124037422 Wed Mar 11 21:16:06 2026 error -9 reading relation 124068097 Wed Mar 11 21:16:12 2026 error -9 reading relation 125303263 Wed Mar 11 21:16:12 2026 error -9 reading relation 125363829 Wed Mar 11 21:16:12 2026 error -15 reading relation 125469864 Wed Mar 11 21:16:13 2026 error -15 reading relation 125537193 Wed Mar 11 21:16:13 2026 error -9 reading relation 125736132 Wed Mar 11 21:16:14 2026 error -9 reading relation 125853950 Wed Mar 11 21:16:14 2026 error -15 reading relation 125954658 Wed Mar 11 21:16:15 2026 error -9 reading relation 126111046 Wed Mar 11 21:16:15 2026 error -9 reading relation 126138399 Wed Mar 11 21:16:16 2026 error -9 reading relation 126252196 Wed Mar 11 21:16:16 2026 error -9 reading relation 126324995 Wed Mar 11 21:16:23 2026 error -15 reading relation 127913077 Wed Mar 11 21:16:23 2026 error -15 reading relation 127923175 Wed Mar 11 21:16:26 2026 error -9 reading relation 128618745 Wed Mar 11 21:16:26 2026 error -5 reading relation 128629079 Wed Mar 11 21:16:27 2026 error -9 reading relation 128888380 Wed Mar 11 21:16:58 2026 skipped 7 relations with b > 2^32 Wed Mar 11 21:16:58 2026 skipped 37 relations with composite factors Wed Mar 11 21:16:58 2026 found 25743992 hash collisions in 132720875 relations Wed Mar 11 21:16:58 2026 commencing duplicate removal, pass 2 Wed Mar 11 21:19:41 2026 found 24566668 duplicates and 108154207 unique relations Wed Mar 11 21:19:41 2026 memory use: 660.8 MB Wed Mar 11 21:19:41 2026 reading ideals above 720000 Wed Mar 11 21:19:41 2026 commencing singleton removal, initial pass Wed Mar 11 21:33:04 2026 memory use: 3012.0 MB Wed Mar 11 21:33:05 2026 reading all ideals from disk Wed Mar 11 21:33:07 2026 memory use: 4056.7 MB Wed Mar 11 21:33:19 2026 keeping 112505863 ideals with weight <= 200, target excess is 558552 Wed Mar 11 21:33:41 2026 commencing in-memory singleton removal Wed Mar 11 21:33:51 2026 begin with 108154207 relations and 112505863 unique ideals Wed Mar 11 21:37:47 2026 reduce to 49139520 relations and 44773750 ideals in 19 passes Wed Mar 11 21:37:47 2026 max relations containing the same ideal: 127 Wed Mar 11 21:38:22 2026 removing 3782093 relations and 3382093 ideals in 400000 cliques Wed Mar 11 21:38:25 2026 commencing in-memory singleton removal Wed Mar 11 21:38:30 2026 begin with 45357427 relations and 44773750 unique ideals Wed Mar 11 21:40:29 2026 reduce to 45085904 relations and 41116924 ideals in 11 passes Wed Mar 11 21:40:29 2026 max relations containing the same ideal: 118 Wed Mar 11 21:41:00 2026 removing 2804810 relations and 2404810 ideals in 400000 cliques Wed Mar 11 21:41:03 2026 commencing in-memory singleton removal Wed Mar 11 21:41:07 2026 begin with 42281094 relations and 41116924 unique ideals Wed Mar 11 21:42:38 2026 reduce to 42119168 relations and 38548513 ideals in 9 passes Wed Mar 11 21:42:38 2026 max relations containing the same ideal: 109 Wed Mar 11 21:43:09 2026 removing 2497814 relations and 2097814 ideals in 400000 cliques Wed Mar 11 21:43:12 2026 commencing in-memory singleton removal Wed Mar 11 21:43:15 2026 begin with 39621354 relations and 38548513 unique ideals Wed Mar 11 21:44:31 2026 reduce to 39485722 relations and 36313729 ideals in 8 passes Wed Mar 11 21:44:31 2026 max relations containing the same ideal: 107 Wed Mar 11 21:44:59 2026 removing 2333947 relations and 1933948 ideals in 400000 cliques Wed Mar 11 21:45:01 2026 commencing in-memory singleton removal Wed Mar 11 21:45:05 2026 begin with 37151775 relations and 36313729 unique ideals Wed Mar 11 21:46:15 2026 reduce to 37029077 relations and 34255897 ideals in 8 passes Wed Mar 11 21:46:15 2026 max relations containing the same ideal: 100 Wed Mar 11 21:46:41 2026 removing 2231415 relations and 1831415 ideals in 400000 cliques Wed Mar 11 21:46:43 2026 commencing in-memory singleton removal Wed Mar 11 21:46:46 2026 begin with 34797662 relations and 34255897 unique ideals Wed Mar 11 21:48:01 2026 reduce to 34678806 relations and 32304406 ideals in 9 passes Wed Mar 11 21:48:01 2026 max relations containing the same ideal: 95 Wed Mar 11 21:48:26 2026 removing 2157402 relations and 1757402 ideals in 400000 cliques Wed Mar 11 21:48:27 2026 commencing in-memory singleton removal Wed Mar 11 21:48:30 2026 begin with 32521404 relations and 32304406 unique ideals Wed Mar 11 21:49:33 2026 reduce to 32404852 relations and 30429196 ideals in 8 passes Wed Mar 11 21:49:33 2026 max relations containing the same ideal: 91 Wed Mar 11 21:49:56 2026 removing 2105464 relations and 1705464 ideals in 400000 cliques Wed Mar 11 21:49:58 2026 commencing in-memory singleton removal Wed Mar 11 21:50:01 2026 begin with 30299388 relations and 30429196 unique ideals Wed Mar 11 21:50:57 2026 reduce to 30181646 relations and 28604661 ideals in 8 passes Wed Mar 11 21:50:57 2026 max relations containing the same ideal: 86 Wed Mar 11 21:51:19 2026 removing 2065945 relations and 1665945 ideals in 400000 cliques Wed Mar 11 21:51:21 2026 commencing in-memory singleton removal Wed Mar 11 21:51:23 2026 begin with 28115701 relations and 28604661 unique ideals Wed Mar 11 21:52:24 2026 reduce to 27998148 relations and 26819803 ideals in 9 passes Wed Mar 11 21:52:24 2026 max relations containing the same ideal: 81 Wed Mar 11 21:52:43 2026 removing 2034552 relations and 1634552 ideals in 400000 cliques Wed Mar 11 21:52:45 2026 commencing in-memory singleton removal Wed Mar 11 21:52:47 2026 begin with 25963596 relations and 26819803 unique ideals Wed Mar 11 21:53:36 2026 reduce to 25840997 relations and 25061103 ideals in 8 passes Wed Mar 11 21:53:36 2026 max relations containing the same ideal: 78 Wed Mar 11 21:53:54 2026 removing 818906 relations and 686933 ideals in 131973 cliques Wed Mar 11 21:53:55 2026 commencing in-memory singleton removal Wed Mar 11 21:53:57 2026 begin with 25022091 relations and 25061103 unique ideals Wed Mar 11 21:54:33 2026 reduce to 25002897 relations and 24354876 ideals in 6 passes Wed Mar 11 21:54:33 2026 max relations containing the same ideal: 77 Wed Mar 11 21:54:53 2026 relations with 0 large ideals: 42818 Wed Mar 11 21:54:53 2026 relations with 1 large ideals: 10448 Wed Mar 11 21:54:53 2026 relations with 2 large ideals: 130052 Wed Mar 11 21:54:53 2026 relations with 3 large ideals: 814681 Wed Mar 11 21:54:53 2026 relations with 4 large ideals: 2768175 Wed Mar 11 21:54:53 2026 relations with 5 large ideals: 5531639 Wed Mar 11 21:54:53 2026 relations with 6 large ideals: 6755931 Wed Mar 11 21:54:53 2026 relations with 7+ large ideals: 8949153 Wed Mar 11 21:54:53 2026 commencing 2-way merge Wed Mar 11 21:55:21 2026 reduce to 15216630 relation sets and 14568609 unique ideals Wed Mar 11 21:55:21 2026 commencing full merge Wed Mar 11 22:05:14 2026 memory use: 2006.4 MB Wed Mar 11 22:05:17 2026 found 6877075 cycles, need 6870809 Wed Mar 11 22:05:18 2026 weight of 6870809 cycles is about 756152074 (110.05/cycle) Wed Mar 11 22:05:18 2026 distribution of cycle lengths: Wed Mar 11 22:05:18 2026 1 relations: 526369 Wed Mar 11 22:05:18 2026 2 relations: 539549 Wed Mar 11 22:05:18 2026 3 relations: 534223 Wed Mar 11 22:05:18 2026 4 relations: 507464 Wed Mar 11 22:05:18 2026 5 relations: 481910 Wed Mar 11 22:05:18 2026 6 relations: 454095 Wed Mar 11 22:05:18 2026 7 relations: 422746 Wed Mar 11 22:05:18 2026 8 relations: 393106 Wed Mar 11 22:05:18 2026 9 relations: 364822 Wed Mar 11 22:05:18 2026 10+ relations: 2646525 Wed Mar 11 22:05:18 2026 heaviest cycle: 28 relations Wed Mar 11 22:05:22 2026 commencing cycle optimization Wed Mar 11 22:05:42 2026 start with 59878091 relations Wed Mar 11 22:09:19 2026 pruned 2235441 relations Wed Mar 11 22:09:19 2026 memory use: 1637.5 MB Wed Mar 11 22:09:19 2026 distribution of cycle lengths: Wed Mar 11 22:09:19 2026 1 relations: 526369 Wed Mar 11 22:09:19 2026 2 relations: 549883 Wed Mar 11 22:09:19 2026 3 relations: 552412 Wed Mar 11 22:09:19 2026 4 relations: 523261 Wed Mar 11 22:09:19 2026 5 relations: 500245 Wed Mar 11 22:09:19 2026 6 relations: 469360 Wed Mar 11 22:09:19 2026 7 relations: 438050 Wed Mar 11 22:09:19 2026 8 relations: 405074 Wed Mar 11 22:09:19 2026 9 relations: 376337 Wed Mar 11 22:09:19 2026 10+ relations: 2529818 Wed Mar 11 22:09:19 2026 heaviest cycle: 28 relations Wed Mar 11 22:09:38 2026 RelProcTime: 3786 Wed Mar 11 22:09:38 2026 Wed Mar 11 22:09:38 2026 commencing linear algebra Wed Mar 11 22:09:39 2026 read 6870809 cycles Wed Mar 11 22:09:55 2026 cycles contain 24570678 unique relations Wed Mar 11 22:12:11 2026 read 24570678 relations Wed Mar 11 22:13:28 2026 using 20 quadratic characters above 4294917295 Wed Mar 11 22:14:27 2026 building initial matrix Wed Mar 11 22:20:01 2026 memory use: 2982.7 MB Wed Mar 11 22:20:08 2026 read 6870809 cycles Wed Mar 11 22:20:09 2026 matrix is 6870632 x 6870809 (3009.4 MB) with weight 855876167 (124.57/col) Wed Mar 11 22:20:09 2026 sparse part has weight 713325516 (103.82/col) Wed Mar 11 22:21:47 2026 filtering completed in 2 passes Wed Mar 11 22:21:49 2026 matrix is 6870428 x 6870605 (3009.4 MB) with weight 855869487 (124.57/col) Wed Mar 11 22:21:49 2026 sparse part has weight 713323260 (103.82/col) Wed Mar 11 22:22:16 2026 matrix starts at (0, 0) Wed Mar 11 22:22:16 2026 matrix is 6870428 x 6870605 (3009.4 MB) with weight 855869487 (124.57/col) Wed Mar 11 22:22:16 2026 sparse part has weight 713323260 (103.82/col) Wed Mar 11 22:22:16 2026 saving the first 48 matrix rows for later Wed Mar 11 22:22:17 2026 matrix includes 64 packed rows Wed Mar 11 22:22:17 2026 matrix is 6870380 x 6870605 (2878.4 MB) with weight 734105988 (106.85/col) Wed Mar 11 22:22:17 2026 sparse part has weight 685837014 (99.82/col) Wed Mar 11 22:22:17 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB Wed Mar 11 22:22:38 2026 commencing Lanczos iteration (32 threads) Wed Mar 11 22:22:38 2026 memory use: 2756.9 MB Wed Mar 11 22:22:52 2026 linear algebra at 0.0%, ETA 16h19m Wed Mar 11 22:22:57 2026 checkpointing every 410000 dimensions Thu Mar 12 09:04:07 2026 lanczos halted after 108649 iterations (dim = 6870379) Thu Mar 12 09:04:10 2026 recovered 37 nontrivial dependencies Thu Mar 12 09:04:10 2026 BLanczosTime: 39272 Thu Mar 12 09:04:10 2026 Thu Mar 12 09:04:10 2026 commencing square root phase Thu Mar 12 09:04:10 2026 handling dependencies 1 to 64 Thu Mar 12 09:04:10 2026 reading relations for dependency 1 Thu Mar 12 09:04:11 2026 read 3436308 cycles Thu Mar 12 09:04:13 2026 cycles contain 12290072 unique relations Thu Mar 12 09:05:29 2026 read 12290072 relations Thu Mar 12 09:05:48 2026 multiplying 12290072 relations Thu Mar 12 09:09:00 2026 multiply complete, coefficients have about 299.02 million bits Thu Mar 12 09:09:00 2026 initial square root is modulo 232013 Thu Mar 12 09:12:11 2026 sqrtTime: 481 Thu Mar 12 09:12:11 2026 p54 factor: 128421127225408046471371166074039279101656774921097929 Thu Mar 12 09:12:11 2026 p176 factor: 10598983277630453139408641484943608548187326723167186499932315861019041193925921065973740115355626870105806173409521781263955625572496909426875126118933378341782141826307125833 Thu Mar 12 09:12:11 2026 elapsed time 12:05:39