Wed Jul 28 10:37:19 2021 Msieve v. 1.54 (SVN 1028) Wed Jul 28 10:37:19 2021 random seeds: 487d0893 e53b4c93 Wed Jul 28 10:37:19 2021 factoring 766099477943295792142612248410148077667484578994009914527012704941040621447123995233814600148905271382256925386325129324513711056590685801772761860065684555152807775210236172535315362589813462430277272329 (204 digits) Wed Jul 28 10:37:21 2021 no P-1/P+1/ECM available, skipping Wed Jul 28 10:37:21 2021 commencing number field sieve (204-digit input) Wed Jul 28 10:37:21 2021 R0: 178405961588244985132285746181186892047843328 Wed Jul 28 10:37:21 2021 R1: -1 Wed Jul 28 10:37:21 2021 A0: -1 Wed Jul 28 10:37:21 2021 A1: 0 Wed Jul 28 10:37:21 2021 A2: 0 Wed Jul 28 10:37:21 2021 A3: 0 Wed Jul 28 10:37:21 2021 A4: 0 Wed Jul 28 10:37:21 2021 A5: 0 Wed Jul 28 10:37:21 2021 A6: 104 Wed Jul 28 10:37:21 2021 skew 0.48, size 3.188e-13, alpha 1.288, combined = 4.914e-14 rroots = 2 Wed Jul 28 10:37:21 2021 Wed Jul 28 10:37:21 2021 commencing relation filtering Wed Jul 28 10:37:21 2021 setting target matrix density to 104.0 Wed Jul 28 10:37:21 2021 estimated available RAM is 128853.3 MB Wed Jul 28 10:37:21 2021 commencing duplicate removal, pass 1 Wed Jul 28 10:51:46 2021 error -15 reading relation 72100745 Wed Jul 28 11:18:37 2021 error -11 reading relation 204293993 Wed Jul 28 11:18:41 2021 error -15 reading relation 204586213 Wed Jul 28 11:18:41 2021 error -1 reading relation 204589089 Wed Jul 28 11:18:43 2021 error -1 reading relation 204742758 Wed Jul 28 11:19:17 2021 error -11 reading relation 207531910 Wed Jul 28 11:27:24 2021 error -15 reading relation 247786218 Wed Jul 28 11:28:40 2021 error -15 reading relation 253999813 Wed Jul 28 11:33:56 2021 error -15 reading relation 280099704 Wed Jul 28 11:37:03 2021 error -5 reading relation 295397105 Wed Jul 28 11:37:03 2021 error -15 reading relation 295403394 Wed Jul 28 11:38:20 2021 skipped 2875 relations with b > 2^32 Wed Jul 28 11:38:20 2021 skipped 6 relations with composite factors Wed Jul 28 11:38:20 2021 found 19387125 hash collisions in 301926720 relations Wed Jul 28 11:38:47 2021 added 1218471 free relations Wed Jul 28 11:38:47 2021 commencing duplicate removal, pass 2 Wed Jul 28 11:41:56 2021 found 3 duplicates and 303145188 unique relations Wed Jul 28 11:41:56 2021 memory use: 788.8 MB Wed Jul 28 11:41:56 2021 reading ideals above 720000 Wed Jul 28 11:41:56 2021 commencing singleton removal, initial pass Wed Jul 28 12:52:41 2021 memory use: 6024.0 MB Wed Jul 28 12:52:42 2021 reading all ideals from disk Wed Jul 28 12:53:14 2021 memory use: 12692.4 MB Wed Jul 28 12:54:43 2021 keeping 317412445 ideals with weight <= 200, target excess is 1539727 Wed Jul 28 12:56:32 2021 commencing in-memory singleton removal Wed Jul 28 12:57:30 2021 begin with 303145188 relations and 317412445 unique ideals Wed Jul 28 13:12:50 2021 reduce to 146562936 relations and 139597342 ideals in 22 passes Wed Jul 28 13:12:50 2021 max relations containing the same ideal: 130 Wed Jul 28 13:14:55 2021 removing 11117624 relations and 10117624 ideals in 1000000 cliques Wed Jul 28 13:15:01 2021 commencing in-memory singleton removal Wed Jul 28 13:15:20 2021 begin with 135445312 relations and 139597342 unique ideals Wed Jul 28 13:20:41 2021 reduce to 134647107 relations and 128673063 ideals in 11 passes Wed Jul 28 13:20:41 2021 max relations containing the same ideal: 123 Wed Jul 28 13:22:33 2021 removing 8212983 relations and 7212983 ideals in 1000000 cliques Wed Jul 28 13:22:38 2021 commencing in-memory singleton removal Wed Jul 28 13:22:56 2021 begin with 126434124 relations and 128673063 unique ideals Wed Jul 28 13:27:36 2021 reduce to 125953379 relations and 120975002 ideals in 12 passes Wed Jul 28 13:27:36 2021 max relations containing the same ideal: 118 Wed Jul 28 13:29:13 2021 removing 7307829 relations and 6307829 ideals in 1000000 cliques Wed Jul 28 13:29:17 2021 commencing in-memory singleton removal Wed Jul 28 13:29:33 2021 begin with 118645550 relations and 120975002 unique ideals Wed Jul 28 13:32:14 2021 reduce to 118236057 relations and 114254238 ideals in 10 passes Wed Jul 28 13:32:14 2021 max relations containing the same ideal: 116 Wed Jul 28 13:33:46 2021 removing 6830910 relations and 5830910 ideals in 1000000 cliques Wed Jul 28 13:33:50 2021 commencing in-memory singleton removal Wed Jul 28 13:34:05 2021 begin with 111405147 relations and 114254238 unique ideals Wed Jul 28 13:36:21 2021 reduce to 111021755 relations and 108036627 ideals in 9 passes Wed Jul 28 13:36:21 2021 max relations containing the same ideal: 109 Wed Jul 28 13:37:35 2021 removing 6545295 relations and 5545295 ideals in 1000000 cliques Wed Jul 28 13:37:39 2021 commencing in-memory singleton removal Wed Jul 28 13:37:51 2021 begin with 104476460 relations and 108036627 unique ideals Wed Jul 28 13:40:36 2021 reduce to 104101233 relations and 102112878 ideals in 9 passes Wed Jul 28 13:40:36 2021 max relations containing the same ideal: 104 Wed Jul 28 13:41:46 2021 removing 1727147 relations and 1524876 ideals in 202271 cliques Wed Jul 28 13:41:48 2021 commencing in-memory singleton removal Wed Jul 28 13:42:00 2021 begin with 102374086 relations and 102112878 unique ideals Wed Jul 28 13:44:06 2021 reduce to 102349188 relations and 100563048 ideals in 7 passes Wed Jul 28 13:44:06 2021 max relations containing the same ideal: 101 Wed Jul 28 13:44:36 2021 relations with 0 large ideals: 58732 Wed Jul 28 13:44:36 2021 relations with 1 large ideals: 25192 Wed Jul 28 13:44:36 2021 relations with 2 large ideals: 341707 Wed Jul 28 13:44:36 2021 relations with 3 large ideals: 2289218 Wed Jul 28 13:44:36 2021 relations with 4 large ideals: 8530200 Wed Jul 28 13:44:36 2021 relations with 5 large ideals: 19244872 Wed Jul 28 13:44:36 2021 relations with 6 large ideals: 27244146 Wed Jul 28 13:44:36 2021 relations with 7+ large ideals: 44615121 Wed Jul 28 13:44:36 2021 commencing 2-way merge Wed Jul 28 13:46:13 2021 reduce to 61408402 relation sets and 59622262 unique ideals Wed Jul 28 13:46:13 2021 commencing full merge Wed Jul 28 14:11:46 2021 memory use: 7017.8 MB Wed Jul 28 14:11:52 2021 found 27889037 cycles, need 27784462 Wed Jul 28 14:12:05 2021 weight of 27784462 cycles is about 2889681059 (104.00/cycle) Wed Jul 28 14:12:05 2021 distribution of cycle lengths: Wed Jul 28 14:12:05 2021 1 relations: 3072691 Wed Jul 28 14:12:05 2021 2 relations: 2609208 Wed Jul 28 14:12:05 2021 3 relations: 2502995 Wed Jul 28 14:12:05 2021 4 relations: 2275589 Wed Jul 28 14:12:05 2021 5 relations: 2126451 Wed Jul 28 14:12:05 2021 6 relations: 1929281 Wed Jul 28 14:12:05 2021 7 relations: 1737944 Wed Jul 28 14:12:05 2021 8 relations: 1536699 Wed Jul 28 14:12:05 2021 9 relations: 1388383 Wed Jul 28 14:12:05 2021 10+ relations: 8605221 Wed Jul 28 14:12:05 2021 heaviest cycle: 28 relations Wed Jul 28 14:12:12 2021 commencing cycle optimization Wed Jul 28 14:13:21 2021 start with 209733695 relations Wed Jul 28 14:22:30 2021 pruned 6056474 relations Wed Jul 28 14:22:33 2021 memory use: 6297.9 MB Wed Jul 28 14:22:33 2021 distribution of cycle lengths: Wed Jul 28 14:22:33 2021 1 relations: 3072691 Wed Jul 28 14:22:33 2021 2 relations: 2670641 Wed Jul 28 14:22:33 2021 3 relations: 2592511 Wed Jul 28 14:22:33 2021 4 relations: 2341958 Wed Jul 28 14:22:33 2021 5 relations: 2190575 Wed Jul 28 14:22:33 2021 6 relations: 1970864 Wed Jul 28 14:22:33 2021 7 relations: 1769822 Wed Jul 28 14:22:33 2021 8 relations: 1556619 Wed Jul 28 14:22:33 2021 9 relations: 1400804 Wed Jul 28 14:22:33 2021 10+ relations: 8217977 Wed Jul 28 14:22:33 2021 heaviest cycle: 28 relations Wed Jul 28 14:23:54 2021 RelProcTime: 13593 Wed Jul 28 14:23:54 2021 elapsed time 03:46:35 Wed Jul 28 14:48:52 2021 Wed Jul 28 14:48:52 2021 Wed Jul 28 14:48:52 2021 Msieve v. 1.54 (SVN 1028) Wed Jul 28 14:48:52 2021 random seeds: 23402f85 769a4b59 Wed Jul 28 14:48:52 2021 factoring 766099477943295792142612248410148077667484578994009914527012704941040621447123995233814600148905271382256925386325129324513711056590685801772761860065684555152807775210236172535315362589813462430277272329 (204 digits) Wed Jul 28 14:48:53 2021 no P-1/P+1/ECM available, skipping Wed Jul 28 14:48:53 2021 commencing number field sieve (204-digit input) Wed Jul 28 14:48:53 2021 R0: 178405961588244985132285746181186892047843328 Wed Jul 28 14:48:53 2021 R1: -1 Wed Jul 28 14:48:53 2021 A0: -1 Wed Jul 28 14:48:53 2021 A1: 0 Wed Jul 28 14:48:53 2021 A2: 0 Wed Jul 28 14:48:53 2021 A3: 0 Wed Jul 28 14:48:53 2021 A4: 0 Wed Jul 28 14:48:53 2021 A5: 0 Wed Jul 28 14:48:53 2021 A6: 104 Wed Jul 28 14:48:53 2021 skew 0.48, size 3.188e-13, alpha 1.288, combined = 4.914e-14 rroots = 2 Wed Jul 28 14:48:53 2021 Wed Jul 28 14:48:53 2021 commencing linear algebra Wed Jul 28 14:48:57 2021 read 27784462 cycles Wed Jul 28 14:50:19 2021 cycles contain 100830289 unique relations Wed Jul 28 15:02:21 2021 read 100830289 relations Wed Jul 28 15:06:21 2021 using 20 quadratic characters above 4294917295 Wed Jul 28 15:15:05 2021 building initial matrix Wed Jul 28 15:40:12 2021 memory use: 12609.6 MB Wed Jul 28 15:40:55 2021 read 27784462 cycles Wed Jul 28 15:41:00 2021 matrix is 27784283 x 27784462 (11560.4 MB) with weight 3315796867 (119.34/col) Wed Jul 28 15:41:00 2021 sparse part has weight 2752634505 (99.07/col) Wed Jul 28 15:52:40 2021 filtering completed in 2 passes Wed Jul 28 15:52:47 2021 matrix is 27775604 x 27775781 (11559.7 MB) with weight 3315520676 (119.37/col) Wed Jul 28 15:52:47 2021 sparse part has weight 2752546861 (99.10/col) Wed Jul 28 15:57:00 2021 matrix starts at (0, 0) Wed Jul 28 15:57:06 2021 matrix is 27775604 x 27775781 (11559.7 MB) with weight 3315520676 (119.37/col) Wed Jul 28 15:57:06 2021 sparse part has weight 2752546861 (99.10/col) Wed Jul 28 15:57:06 2021 saving the first 112 matrix rows for later Wed Jul 28 15:57:14 2021 matrix includes 128 packed rows Wed Jul 28 15:57:24 2021 matrix is 27775492 x 27775781 (10874.4 MB) with weight 2642632673 (95.14/col) Wed Jul 28 15:57:24 2021 sparse part has weight 2517351237 (90.63/col) Wed Jul 28 15:57:24 2021 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB Wed Jul 28 16:00:11 2021 commencing Lanczos iteration (10 threads) Wed Jul 28 16:00:11 2021 memory use: 12396.3 MB Wed Jul 28 16:04:15 2021 linear algebra at 0.0%, ETA 1134h43m Wed Jul 28 16:05:27 2021 checkpointing every 30000 dimensions Tue Aug 10 02:16:10 2021 lanczos halted after 218303 iterations (dim = 27775491) Tue Aug 10 02:17:04 2021 recovered 39 nontrivial dependencies Tue Aug 10 02:17:07 2021 BLanczosTime: 1078094 Tue Aug 10 02:17:07 2021 Tue Aug 10 02:17:07 2021 commencing square root phase Tue Aug 10 02:17:07 2021 reading relations for dependency 1 Tue Aug 10 02:17:18 2021 read 13888313 cycles Tue Aug 10 02:17:45 2021 cycles contain 50410928 unique relations Tue Aug 10 02:25:14 2021 read 50410928 relations Tue Aug 10 02:29:16 2021 multiplying 50410928 relations Tue Aug 10 03:20:36 2021 multiply complete, coefficients have about 1617.27 million bits Tue Aug 10 03:20:42 2021 initial square root is modulo 17973133 Tue Aug 10 04:14:48 2021 sqrtTime: 7061 Tue Aug 10 04:14:48 2021 p66 factor: 496945381489926455997578894717828579447320377820955390571436648483 Tue Aug 10 04:14:48 2021 p139 factor: 1541617059899821887026423963230013080690445539218569916137886022874738181156660695277484125836370835642910509019901578832270277120522331363 Tue Aug 10 04:14:48 2021 elapsed time 301:25:56