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- 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
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