Tue Mar 3 21:20:48 2026 Tue Mar 3 21:20:48 2026 Tue Mar 3 21:20:48 2026 Msieve v. 1.54 (SVN unknown) Tue Mar 3 21:20:48 2026 random seeds: 0284874c 3a1c5470 Tue Mar 3 21:20:48 2026 factoring 226804763222893824800744424277189550920121454245772669581710327590421457765435142925575276462965322353788281678037248700298630519291091856905933336601373066469132852070331885134956050997785981706097471 (201 digits) Tue Mar 3 21:20:49 2026 no P-1/P+1/ECM available, skipping Tue Mar 3 21:20:49 2026 commencing number field sieve (201-digit input) Tue Mar 3 21:20:49 2026 R0: 202073046351706160639046138779227599242 Tue Mar 3 21:20:49 2026 R1: -14215239932963008579 Tue Mar 3 21:20:49 2026 A0: -1 Tue Mar 3 21:20:49 2026 A1: 3 Tue Mar 3 21:20:49 2026 A2: 6 Tue Mar 3 21:20:49 2026 A3: -4 Tue Mar 3 21:20:49 2026 A4: -5 Tue Mar 3 21:20:49 2026 A5: 1 Tue Mar 3 21:20:49 2026 A6: 1 Tue Mar 3 21:20:49 2026 skew 1.37, size 2.560e-11, alpha 3.126, combined = 1.245e-12 rroots = 6 Tue Mar 3 21:20:49 2026 Tue Mar 3 21:20:49 2026 commencing relation filtering Tue Mar 3 21:20:49 2026 setting target matrix density to 90.0 Tue Mar 3 21:20:49 2026 estimated available RAM is 95911.2 MB Tue Mar 3 21:20:49 2026 commencing duplicate removal, pass 1 Tue Mar 3 21:22:31 2026 error -9 reading relation 26778372 Tue Mar 3 21:22:50 2026 error -5 reading relation 31522282 Tue Mar 3 21:22:58 2026 error -15 reading relation 33366325 Tue Mar 3 21:22:59 2026 error -9 reading relation 33519441 Tue Mar 3 21:23:37 2026 error -9 reading relation 42592311 Tue Mar 3 21:23:38 2026 error -9 reading relation 42862065 Tue Mar 3 21:24:05 2026 error -9 reading relation 49118365 Tue Mar 3 21:24:32 2026 error -15 reading relation 55604191 Tue Mar 3 21:24:36 2026 error -5 reading relation 56606107 Tue Mar 3 21:24:50 2026 error -5 reading relation 60091823 Tue Mar 3 21:25:26 2026 error -5 reading relation 68483459 Tue Mar 3 21:25:27 2026 error -9 reading relation 68765493 Tue Mar 3 21:25:57 2026 error -9 reading relation 75772308 Tue Mar 3 21:26:08 2026 error -9 reading relation 78479102 Tue Mar 3 21:26:12 2026 error -9 reading relation 79302150 Tue Mar 3 21:26:13 2026 error -15 reading relation 79706878 Tue Mar 3 21:26:14 2026 error -9 reading relation 79798316 Tue Mar 3 21:26:15 2026 error -9 reading relation 80181361 Tue Mar 3 21:26:15 2026 error -9 reading relation 80228283 Tue Mar 3 21:26:15 2026 error -5 reading relation 80283196 Tue Mar 3 21:26:16 2026 error -15 reading relation 80382038 Tue Mar 3 21:26:17 2026 error -9 reading relation 80592188 Tue Mar 3 21:26:20 2026 error -9 reading relation 81459800 Tue Mar 3 21:26:27 2026 error -15 reading relation 83238623 Tue Mar 3 21:26:31 2026 error -9 reading relation 84356158 Tue Mar 3 21:27:04 2026 error -9 reading relation 92907909 Tue Mar 3 21:27:09 2026 error -9 reading relation 94159391 Tue Mar 3 21:27:09 2026 error -15 reading relation 94179929 Tue Mar 3 21:27:13 2026 error -15 reading relation 95188113 Tue Mar 3 21:27:13 2026 error -15 reading relation 95229541 Tue Mar 3 21:27:17 2026 error -9 reading relation 96174287 Tue Mar 3 21:27:17 2026 error -1 reading relation 96224929 Tue Mar 3 21:27:20 2026 error -15 reading relation 97110540 Tue Mar 3 21:28:00 2026 error -1 reading relation 107766860 Tue Mar 3 21:28:02 2026 error -9 reading relation 108256064 Tue Mar 3 21:28:08 2026 error -1 reading relation 109988587 Tue Mar 3 21:28:09 2026 error -15 reading relation 110156563 Tue Mar 3 21:28:10 2026 error -1 reading relation 110341791 Tue Mar 3 21:28:10 2026 error -9 reading relation 110388425 Tue Mar 3 21:28:11 2026 error -1 reading relation 110647078 Tue Mar 3 21:28:11 2026 error -1 reading relation 110750864 Tue Mar 3 21:28:11 2026 error -9 reading relation 110855665 Tue Mar 3 21:28:12 2026 error -9 reading relation 110904130 Tue Mar 3 21:28:13 2026 error -9 reading relation 111220949 Tue Mar 3 21:28:25 2026 error -9 reading relation 114646299 Tue Mar 3 21:28:25 2026 error -1 reading relation 114646412 Tue Mar 3 21:28:25 2026 error -9 reading relation 114708974 Tue Mar 3 21:28:25 2026 error -9 reading relation 114709097 Tue Mar 3 21:28:25 2026 error -9 reading relation 114742738 Tue Mar 3 21:28:25 2026 error -9 reading relation 114742843 Tue Mar 3 21:28:30 2026 error -1 reading relation 116102730 Tue Mar 3 21:29:07 2026 skipped 5 relations with b > 2^32 Tue Mar 3 21:29:07 2026 skipped 27 relations with composite factors Tue Mar 3 21:29:07 2026 found 23981133 hash collisions in 126072972 relations Tue Mar 3 21:29:12 2026 added 2438358 free relations Tue Mar 3 21:29:12 2026 commencing duplicate removal, pass 2 Tue Mar 3 21:31:15 2026 found 22747548 duplicates and 105763782 unique relations Tue Mar 3 21:31:15 2026 memory use: 660.8 MB Tue Mar 3 21:31:16 2026 reading ideals above 720000 Tue Mar 3 21:31:16 2026 commencing singleton removal, initial pass Tue Mar 3 21:40:29 2026 memory use: 3012.0 MB Tue Mar 3 21:40:29 2026 reading all ideals from disk Tue Mar 3 21:40:31 2026 memory use: 3938.2 MB Tue Mar 3 21:40:37 2026 keeping 110784894 ideals with weight <= 200, target excess is 542591 Tue Mar 3 21:40:49 2026 commencing in-memory singleton removal Tue Mar 3 21:40:54 2026 begin with 105763782 relations and 110784894 unique ideals Tue Mar 3 21:42:43 2026 reduce to 46479141 relations and 42415443 ideals in 17 passes Tue Mar 3 21:42:43 2026 max relations containing the same ideal: 119 Tue Mar 3 21:43:03 2026 removing 3792335 relations and 3392335 ideals in 400000 cliques Tue Mar 3 21:43:05 2026 commencing in-memory singleton removal Tue Mar 3 21:43:07 2026 begin with 42686806 relations and 42415443 unique ideals Tue Mar 3 21:43:58 2026 reduce to 42393661 relations and 38726089 ideals in 9 passes Tue Mar 3 21:43:58 2026 max relations containing the same ideal: 111 Tue Mar 3 21:44:14 2026 removing 2812809 relations and 2412809 ideals in 400000 cliques Tue Mar 3 21:44:16 2026 commencing in-memory singleton removal Tue Mar 3 21:44:18 2026 begin with 39580852 relations and 38726089 unique ideals Tue Mar 3 21:45:05 2026 reduce to 39405914 relations and 36136462 ideals in 9 passes Tue Mar 3 21:45:05 2026 max relations containing the same ideal: 105 Tue Mar 3 21:45:21 2026 removing 2507735 relations and 2107735 ideals in 400000 cliques Tue Mar 3 21:45:22 2026 commencing in-memory singleton removal Tue Mar 3 21:45:24 2026 begin with 36898179 relations and 36136462 unique ideals Tue Mar 3 21:46:05 2026 reduce to 36750238 relations and 33879237 ideals in 9 passes Tue Mar 3 21:46:05 2026 max relations containing the same ideal: 102 Tue Mar 3 21:46:20 2026 removing 2342254 relations and 1942254 ideals in 400000 cliques Tue Mar 3 21:46:21 2026 commencing in-memory singleton removal Tue Mar 3 21:46:23 2026 begin with 34407984 relations and 33879237 unique ideals Tue Mar 3 21:46:59 2026 reduce to 34272658 relations and 31800195 ideals in 8 passes Tue Mar 3 21:46:59 2026 max relations containing the same ideal: 96 Tue Mar 3 21:47:13 2026 removing 2241814 relations and 1841814 ideals in 400000 cliques Tue Mar 3 21:47:14 2026 commencing in-memory singleton removal Tue Mar 3 21:47:16 2026 begin with 32030844 relations and 31800195 unique ideals Tue Mar 3 21:47:56 2026 reduce to 31900499 relations and 29826572 ideals in 9 passes Tue Mar 3 21:47:56 2026 max relations containing the same ideal: 92 Tue Mar 3 21:48:09 2026 removing 2170460 relations and 1770460 ideals in 400000 cliques Tue Mar 3 21:48:10 2026 commencing in-memory singleton removal Tue Mar 3 21:48:12 2026 begin with 29730039 relations and 29826572 unique ideals Tue Mar 3 21:48:46 2026 reduce to 29601095 relations and 27925666 ideals in 9 passes Tue Mar 3 21:48:46 2026 max relations containing the same ideal: 88 Tue Mar 3 21:48:57 2026 removing 2123018 relations and 1723018 ideals in 400000 cliques Tue Mar 3 21:48:58 2026 commencing in-memory singleton removal Tue Mar 3 21:49:00 2026 begin with 27478077 relations and 27925666 unique ideals Tue Mar 3 21:49:28 2026 reduce to 27347051 relations and 26070063 ideals in 8 passes Tue Mar 3 21:49:28 2026 max relations containing the same ideal: 84 Tue Mar 3 21:49:39 2026 removing 2087712 relations and 1687712 ideals in 400000 cliques Tue Mar 3 21:49:40 2026 commencing in-memory singleton removal Tue Mar 3 21:49:41 2026 begin with 25259339 relations and 26070063 unique ideals Tue Mar 3 21:50:07 2026 reduce to 25124141 relations and 24245368 ideals in 8 passes Tue Mar 3 21:50:07 2026 max relations containing the same ideal: 80 Tue Mar 3 21:50:17 2026 removing 1405692 relations and 1156325 ideals in 249367 cliques Tue Mar 3 21:50:18 2026 commencing in-memory singleton removal Tue Mar 3 21:50:19 2026 begin with 23718449 relations and 24245368 unique ideals Tue Mar 3 21:50:44 2026 reduce to 23655889 relations and 23025866 ideals in 8 passes Tue Mar 3 21:50:44 2026 max relations containing the same ideal: 77 Tue Mar 3 21:50:55 2026 relations with 0 large ideals: 41560 Tue Mar 3 21:50:55 2026 relations with 1 large ideals: 10684 Tue Mar 3 21:50:55 2026 relations with 2 large ideals: 130682 Tue Mar 3 21:50:55 2026 relations with 3 large ideals: 810775 Tue Mar 3 21:50:55 2026 relations with 4 large ideals: 2716906 Tue Mar 3 21:50:55 2026 relations with 5 large ideals: 5339346 Tue Mar 3 21:50:55 2026 relations with 6 large ideals: 6403162 Tue Mar 3 21:50:55 2026 relations with 7+ large ideals: 8202774 Tue Mar 3 21:50:55 2026 commencing 2-way merge Tue Mar 3 21:51:10 2026 reduce to 14227787 relation sets and 13597764 unique ideals Tue Mar 3 21:51:11 2026 commencing full merge Tue Mar 3 21:55:10 2026 memory use: 1810.6 MB Tue Mar 3 21:55:12 2026 found 6884482 cycles, need 6817964 Tue Mar 3 21:55:12 2026 weight of 6817964 cycles is about 613794737 (90.03/cycle) Tue Mar 3 21:55:12 2026 distribution of cycle lengths: Tue Mar 3 21:55:12 2026 1 relations: 739272 Tue Mar 3 21:55:12 2026 2 relations: 664961 Tue Mar 3 21:55:12 2026 3 relations: 622378 Tue Mar 3 21:55:13 2026 4 relations: 571317 Tue Mar 3 21:55:13 2026 5 relations: 535813 Tue Mar 3 21:55:13 2026 6 relations: 490628 Tue Mar 3 21:55:13 2026 7 relations: 450698 Tue Mar 3 21:55:13 2026 8 relations: 404824 Tue Mar 3 21:55:13 2026 9 relations: 366365 Tue Mar 3 21:55:13 2026 10+ relations: 1971708 Tue Mar 3 21:55:13 2026 heaviest cycle: 27 relations Tue Mar 3 21:55:15 2026 commencing cycle optimization Tue Mar 3 21:55:25 2026 start with 48695594 relations Tue Mar 3 21:56:51 2026 pruned 1444621 relations Tue Mar 3 21:56:51 2026 memory use: 1460.2 MB Tue Mar 3 21:56:51 2026 distribution of cycle lengths: Tue Mar 3 21:56:51 2026 1 relations: 739272 Tue Mar 3 21:56:51 2026 2 relations: 676695 Tue Mar 3 21:56:51 2026 3 relations: 641729 Tue Mar 3 21:56:51 2026 4 relations: 586428 Tue Mar 3 21:56:51 2026 5 relations: 552827 Tue Mar 3 21:56:51 2026 6 relations: 503324 Tue Mar 3 21:56:51 2026 7 relations: 462413 Tue Mar 3 21:56:51 2026 8 relations: 413135 Tue Mar 3 21:56:51 2026 9 relations: 373565 Tue Mar 3 21:56:51 2026 10+ relations: 1868576 Tue Mar 3 21:56:51 2026 heaviest cycle: 27 relations Tue Mar 3 21:57:02 2026 RelProcTime: 2173 Tue Mar 3 21:57:02 2026 Tue Mar 3 21:57:02 2026 commencing linear algebra Tue Mar 3 21:57:03 2026 read 6817964 cycles Tue Mar 3 21:57:13 2026 cycles contain 23193343 unique relations Tue Mar 3 21:59:16 2026 read 23193343 relations Tue Mar 3 21:59:52 2026 using 20 quadratic characters above 4294917295 Tue Mar 3 22:00:48 2026 building initial matrix Tue Mar 3 22:03:37 2026 memory use: 2764.8 MB Tue Mar 3 22:03:41 2026 read 6817964 cycles Tue Mar 3 22:03:42 2026 matrix is 6817785 x 6817964 (2497.2 MB) with weight 710681648 (104.24/col) Tue Mar 3 22:03:42 2026 sparse part has weight 586447019 (86.01/col) Tue Mar 3 22:04:38 2026 filtering completed in 2 passes Tue Mar 3 22:04:40 2026 matrix is 6815295 x 6815472 (2497.0 MB) with weight 710604723 (104.26/col) Tue Mar 3 22:04:40 2026 sparse part has weight 586416585 (86.04/col) Tue Mar 3 22:04:54 2026 matrix starts at (0, 0) Tue Mar 3 22:04:55 2026 matrix is 6815295 x 6815472 (2497.0 MB) with weight 710604723 (104.26/col) Tue Mar 3 22:04:55 2026 sparse part has weight 586416585 (86.04/col) Tue Mar 3 22:04:55 2026 saving the first 48 matrix rows for later Tue Mar 3 22:04:56 2026 matrix includes 64 packed rows Tue Mar 3 22:04:57 2026 matrix is 6815247 x 6815472 (2397.0 MB) with weight 597717031 (87.70/col) Tue Mar 3 22:04:57 2026 sparse part has weight 560216860 (82.20/col) Tue Mar 3 22:04:57 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB Tue Mar 3 22:05:14 2026 commencing Lanczos iteration (16 threads) Tue Mar 3 22:05:14 2026 memory use: 2330.2 MB Tue Mar 3 22:05:23 2026 linear algebra at 0.0%, ETA 11h13m Tue Mar 3 22:05:26 2026 checkpointing every 610000 dimensions Wed Mar 4 04:04:08 2026 lanczos halted after 107777 iterations (dim = 6815245) Wed Mar 4 04:04:11 2026 recovered 35 nontrivial dependencies Wed Mar 4 04:04:11 2026 BLanczosTime: 22029 Wed Mar 4 04:04:11 2026 Wed Mar 4 04:04:11 2026 commencing square root phase Wed Mar 4 04:04:11 2026 handling dependencies 1 to 64 Wed Mar 4 04:04:11 2026 reading relations for dependency 1 Wed Mar 4 04:04:12 2026 read 3407780 cycles Wed Mar 4 04:04:15 2026 cycles contain 11594930 unique relations Wed Mar 4 04:05:27 2026 read 11594930 relations Wed Mar 4 04:05:44 2026 multiplying 11594930 relations Wed Mar 4 04:08:42 2026 multiply complete, coefficients have about 279.08 million bits Wed Mar 4 04:08:42 2026 initial square root is modulo 101797 Wed Mar 4 04:11:40 2026 found factor: 25133626548521548623813686388795353583769253011377109081 Wed Mar 4 04:11:40 2026 reading relations for dependency 2 Wed Mar 4 04:11:41 2026 read 3407434 cycles Wed Mar 4 04:11:43 2026 cycles contain 11590760 unique relations Wed Mar 4 04:12:54 2026 read 11590760 relations Wed Mar 4 04:13:11 2026 multiplying 11590760 relations Wed Mar 4 04:16:08 2026 multiply complete, coefficients have about 278.98 million bits Wed Mar 4 04:16:08 2026 initial square root is modulo 101363 Wed Mar 4 04:19:06 2026 GCD is N, no factor found Wed Mar 4 04:19:06 2026 reading relations for dependency 3 Wed Mar 4 04:19:07 2026 read 3408906 cycles Wed Mar 4 04:19:09 2026 cycles contain 11601392 unique relations Wed Mar 4 04:20:20 2026 read 11601392 relations Wed Mar 4 04:20:37 2026 multiplying 11601392 relations Wed Mar 4 04:23:33 2026 multiply complete, coefficients have about 279.24 million bits Wed Mar 4 04:23:33 2026 initial square root is modulo 102481 Wed Mar 4 04:26:31 2026 sqrtTime: 1340 Wed Mar 4 04:26:31 2026 p56 factor: 25133626548521548623813686388795353583769253011377109081 Wed Mar 4 04:26:31 2026 p69 factor: 308740705038871366653403153928120331472934199403899030153410123948603 Wed Mar 4 04:26:31 2026 p77 factor: 29228270755841330316120009297166535262161892944520666749053333729805083822997 Wed Mar 4 04:26:31 2026 elapsed time 07:05:43