Wed Jul 26 21:17:25 2023 Wed Jul 26 21:17:25 2023 Wed Jul 26 21:17:25 2023 Msieve v. 1.54 (SVN 1046M) Wed Jul 26 21:17:25 2023 random seeds: 7c7f4dea 71811c31 Wed Jul 26 21:17:25 2023 factoring 387357984691438291437371258786102644642257015488017122423123025630023316632028534755655587009026500363261256938696452769954888593770532353675537383846752434305077394709171766233859500019173016067714878293683201 (210 digits) Wed Jul 26 21:17:26 2023 no P-1/P+1/ECM available, skipping Wed Jul 26 21:17:26 2023 commencing number field sieve (210-digit input) Wed Jul 26 21:17:26 2023 R0: -12698826347252906933035007995329968173706379264 Wed Jul 26 21:17:26 2023 R1: 1 Wed Jul 26 21:17:26 2023 A0: 9 Wed Jul 26 21:17:26 2023 A1: 0 Wed Jul 26 21:17:26 2023 A2: 0 Wed Jul 26 21:17:26 2023 A3: -6 Wed Jul 26 21:17:26 2023 A4: 0 Wed Jul 26 21:17:26 2023 A5: 0 Wed Jul 26 21:17:26 2023 A6: 4 Wed Jul 26 21:17:26 2023 skew 1.55, size 1.391e-13, alpha 0.594, combined = 2.588e-14 rroots = 0 Wed Jul 26 21:17:26 2023 Wed Jul 26 21:17:26 2023 commencing relation filtering Wed Jul 26 21:17:26 2023 setting target matrix density to 120.0 Wed Jul 26 21:17:26 2023 estimated available RAM is 128725.0 MB Wed Jul 26 21:17:26 2023 commencing duplicate removal, pass 1 Wed Jul 26 21:30:48 2023 error -5 reading relation 97629200 Wed Jul 26 21:35:15 2023 error -15 reading relation 130554204 Wed Jul 26 21:42:27 2023 error -15 reading relation 183970862 Wed Jul 26 21:43:06 2023 error -11 reading relation 188856786 Wed Jul 26 21:43:06 2023 error -15 reading relation 188856942 Wed Jul 26 21:43:06 2023 error -11 reading relation 188857208 Wed Jul 26 21:43:06 2023 error -11 reading relation 188857409 Wed Jul 26 21:43:06 2023 error -15 reading relation 188857511 Wed Jul 26 21:43:06 2023 error -15 reading relation 188857958 Wed Jul 26 21:43:06 2023 error -11 reading relation 188858673 Wed Jul 26 21:43:06 2023 error -11 reading relation 188858943 Wed Jul 26 21:43:06 2023 error -11 reading relation 188859039 Wed Jul 26 21:43:06 2023 error -11 reading relation 188859244 Wed Jul 26 21:43:06 2023 error -15 reading relation 188859293 Wed Jul 26 21:43:06 2023 error -15 reading relation 188859346 Wed Jul 26 21:43:06 2023 error -11 reading relation 188860599 Wed Jul 26 21:43:06 2023 error -15 reading relation 188860727 Wed Jul 26 21:43:06 2023 error -15 reading relation 188861174 Wed Jul 26 21:43:06 2023 error -15 reading relation 188861649 Wed Jul 26 21:43:06 2023 error -11 reading relation 188861967 Wed Jul 26 21:43:06 2023 error -15 reading relation 188862088 Wed Jul 26 21:43:06 2023 error -15 reading relation 188862150 Wed Jul 26 21:43:06 2023 error -11 reading relation 188862910 Wed Jul 26 21:43:06 2023 error -1 reading relation 188863950 Wed Jul 26 21:43:06 2023 error -15 reading relation 188864212 Wed Jul 26 21:43:06 2023 error -11 reading relation 188865102 Wed Jul 26 21:43:06 2023 error -11 reading relation 188865941 Wed Jul 26 21:46:29 2023 error -15 reading relation 213834961 Wed Jul 26 21:49:40 2023 error -15 reading relation 237392426 Wed Jul 26 21:53:12 2023 error -11 reading relation 263446536 Wed Jul 26 21:54:05 2023 error -11 reading relation 270029588 Wed Jul 26 22:05:00 2023 skipped 1558 relations with b > 2^32 Wed Jul 26 22:05:00 2023 skipped 17 relations with composite factors Wed Jul 26 22:05:00 2023 found 25719222 hash collisions in 350314226 relations Wed Jul 26 22:05:11 2023 added 812838 free relations Wed Jul 26 22:05:11 2023 commencing duplicate removal, pass 2 Wed Jul 26 22:06:56 2023 found 2 duplicates and 351127062 unique relations Wed Jul 26 22:06:56 2023 memory use: 1257.5 MB Wed Jul 26 22:06:56 2023 reading ideals above 720000 Wed Jul 26 22:06:56 2023 commencing singleton removal, initial pass Wed Jul 26 22:51:37 2023 memory use: 11024.0 MB Wed Jul 26 22:51:38 2023 reading all ideals from disk Wed Jul 26 22:51:49 2023 memory use: 14995.4 MB Wed Jul 26 22:52:08 2023 keeping 340894673 ideals with weight <= 200, target excess is 1802096 Wed Jul 26 22:52:40 2023 commencing in-memory singleton removal Wed Jul 26 22:52:55 2023 begin with 351127062 relations and 340894673 unique ideals Wed Jul 26 22:56:16 2023 reduce to 215450437 relations and 190554894 ideals in 17 passes Wed Jul 26 22:56:16 2023 max relations containing the same ideal: 153 Wed Jul 26 22:57:23 2023 removing 15207470 relations and 13207470 ideals in 2000000 cliques Wed Jul 26 22:57:31 2023 commencing in-memory singleton removal Wed Jul 26 22:57:40 2023 begin with 200242967 relations and 190554894 unique ideals Wed Jul 26 22:59:21 2023 reduce to 199331647 relations and 176423897 ideals in 10 passes Wed Jul 26 22:59:21 2023 max relations containing the same ideal: 147 Wed Jul 26 23:00:24 2023 removing 11446792 relations and 9446792 ideals in 2000000 cliques Wed Jul 26 23:00:31 2023 commencing in-memory singleton removal Wed Jul 26 23:00:39 2023 begin with 187884855 relations and 176423897 unique ideals Wed Jul 26 23:01:55 2023 reduce to 187308923 relations and 166394828 ideals in 8 passes Wed Jul 26 23:01:55 2023 max relations containing the same ideal: 141 Wed Jul 26 23:02:54 2023 removing 10287812 relations and 8287812 ideals in 2000000 cliques Wed Jul 26 23:03:01 2023 commencing in-memory singleton removal Wed Jul 26 23:03:09 2023 begin with 177021111 relations and 166394828 unique ideals Wed Jul 26 23:04:29 2023 reduce to 176524852 relations and 157605355 ideals in 9 passes Wed Jul 26 23:04:29 2023 max relations containing the same ideal: 134 Wed Jul 26 23:05:25 2023 removing 9684212 relations and 7684212 ideals in 2000000 cliques Wed Jul 26 23:05:31 2023 commencing in-memory singleton removal Wed Jul 26 23:05:38 2023 begin with 166840640 relations and 157605355 unique ideals Wed Jul 26 23:06:46 2023 reduce to 166375717 relations and 149451217 ideals in 8 passes Wed Jul 26 23:06:46 2023 max relations containing the same ideal: 130 Wed Jul 26 23:07:39 2023 removing 9308783 relations and 7308783 ideals in 2000000 cliques Wed Jul 26 23:07:45 2023 commencing in-memory singleton removal Wed Jul 26 23:07:51 2023 begin with 157066934 relations and 149451217 unique ideals Wed Jul 26 23:08:55 2023 reduce to 156613982 relations and 141684293 ideals in 8 passes Wed Jul 26 23:08:55 2023 max relations containing the same ideal: 128 Wed Jul 26 23:09:45 2023 removing 9062638 relations and 7062638 ideals in 2000000 cliques Wed Jul 26 23:09:51 2023 commencing in-memory singleton removal Wed Jul 26 23:09:57 2023 begin with 147551344 relations and 141684293 unique ideals Wed Jul 26 23:10:56 2023 reduce to 147098145 relations and 134163329 ideals in 8 passes Wed Jul 26 23:10:56 2023 max relations containing the same ideal: 125 Wed Jul 26 23:11:44 2023 removing 8900487 relations and 6900487 ideals in 2000000 cliques Wed Jul 26 23:11:49 2023 commencing in-memory singleton removal Wed Jul 26 23:11:55 2023 begin with 138197658 relations and 134163329 unique ideals Wed Jul 26 23:12:50 2023 reduce to 137732846 relations and 126792426 ideals in 8 passes Wed Jul 26 23:12:50 2023 max relations containing the same ideal: 117 Wed Jul 26 23:13:36 2023 removing 8791292 relations and 6791292 ideals in 2000000 cliques Wed Jul 26 23:13:41 2023 commencing in-memory singleton removal Wed Jul 26 23:13:46 2023 begin with 128941554 relations and 126792426 unique ideals Wed Jul 26 23:14:38 2023 reduce to 128459891 relations and 119513313 ideals in 8 passes Wed Jul 26 23:14:38 2023 max relations containing the same ideal: 108 Wed Jul 26 23:15:20 2023 removing 8733886 relations and 6733886 ideals in 2000000 cliques Wed Jul 26 23:15:25 2023 commencing in-memory singleton removal Wed Jul 26 23:15:30 2023 begin with 119726005 relations and 119513313 unique ideals Wed Jul 26 23:16:18 2023 reduce to 119219389 relations and 112265913 ideals in 8 passes Wed Jul 26 23:16:18 2023 max relations containing the same ideal: 106 Wed Jul 26 23:16:58 2023 removing 8714773 relations and 6714773 ideals in 2000000 cliques Wed Jul 26 23:17:03 2023 commencing in-memory singleton removal Wed Jul 26 23:17:07 2023 begin with 110504616 relations and 112265913 unique ideals Wed Jul 26 23:17:57 2023 reduce to 109963997 relations and 105002587 ideals in 9 passes Wed Jul 26 23:17:57 2023 max relations containing the same ideal: 101 Wed Jul 26 23:18:33 2023 removing 8729543 relations and 6729543 ideals in 2000000 cliques Wed Jul 26 23:18:38 2023 commencing in-memory singleton removal Wed Jul 26 23:18:42 2023 begin with 101234454 relations and 105002587 unique ideals Wed Jul 26 23:19:27 2023 reduce to 100647871 relations and 97677274 ideals in 9 passes Wed Jul 26 23:19:27 2023 max relations containing the same ideal: 96 Wed Jul 26 23:20:01 2023 removing 4557553 relations and 3677388 ideals in 880165 cliques Wed Jul 26 23:20:05 2023 commencing in-memory singleton removal Wed Jul 26 23:20:09 2023 begin with 96090318 relations and 97677274 unique ideals Wed Jul 26 23:20:46 2023 reduce to 95929580 relations and 93837910 ideals in 8 passes Wed Jul 26 23:20:46 2023 max relations containing the same ideal: 94 Wed Jul 26 23:21:36 2023 relations with 0 large ideals: 46121 Wed Jul 26 23:21:36 2023 relations with 1 large ideals: 28624 Wed Jul 26 23:21:36 2023 relations with 2 large ideals: 401590 Wed Jul 26 23:21:36 2023 relations with 3 large ideals: 2551620 Wed Jul 26 23:21:36 2023 relations with 4 large ideals: 8933055 Wed Jul 26 23:21:36 2023 relations with 5 large ideals: 18970278 Wed Jul 26 23:21:36 2023 relations with 6 large ideals: 25462231 Wed Jul 26 23:21:36 2023 relations with 7+ large ideals: 39536061 Wed Jul 26 23:21:36 2023 commencing 2-way merge Wed Jul 26 23:22:24 2023 reduce to 60914152 relation sets and 58822482 unique ideals Wed Jul 26 23:22:24 2023 commencing full merge Wed Jul 26 23:42:30 2023 memory use: 7430.1 MB Wed Jul 26 23:42:36 2023 found 27207621 cycles, need 27100682 Wed Jul 26 23:42:44 2023 weight of 27100682 cycles is about 3252734675 (120.02/cycle) Wed Jul 26 23:42:44 2023 distribution of cycle lengths: Wed Jul 26 23:42:44 2023 1 relations: 1890745 Wed Jul 26 23:42:44 2023 2 relations: 2031019 Wed Jul 26 23:42:44 2023 3 relations: 2100037 Wed Jul 26 23:42:44 2023 4 relations: 2036676 Wed Jul 26 23:42:44 2023 5 relations: 1977762 Wed Jul 26 23:42:44 2023 6 relations: 1887900 Wed Jul 26 23:42:44 2023 7 relations: 1783834 Wed Jul 26 23:42:44 2023 8 relations: 1681681 Wed Jul 26 23:42:44 2023 9 relations: 1570220 Wed Jul 26 23:42:44 2023 10+ relations: 10140808 Wed Jul 26 23:42:44 2023 heaviest cycle: 28 relations Wed Jul 26 23:42:50 2023 commencing cycle optimization Wed Jul 26 23:43:43 2023 start with 229086013 relations Wed Jul 26 23:51:08 2023 pruned 9180512 relations Wed Jul 26 23:51:08 2023 memory use: 6291.1 MB Wed Jul 26 23:51:08 2023 distribution of cycle lengths: Wed Jul 26 23:51:08 2023 1 relations: 1890745 Wed Jul 26 23:51:08 2023 2 relations: 2081982 Wed Jul 26 23:51:08 2023 3 relations: 2186831 Wed Jul 26 23:51:08 2023 4 relations: 2113994 Wed Jul 26 23:51:08 2023 5 relations: 2063571 Wed Jul 26 23:51:08 2023 6 relations: 1958858 Wed Jul 26 23:51:08 2023 7 relations: 1856325 Wed Jul 26 23:51:08 2023 8 relations: 1738982 Wed Jul 26 23:51:08 2023 9 relations: 1620597 Wed Jul 26 23:51:08 2023 10+ relations: 9588797 Wed Jul 26 23:51:08 2023 heaviest cycle: 28 relations Wed Jul 26 23:51:42 2023 RelProcTime: 9256 Wed Jul 26 23:51:42 2023 Wed Jul 26 23:51:42 2023 commencing linear algebra Wed Jul 26 23:51:44 2023 read 27100682 cycles Wed Jul 26 23:52:39 2023 cycles contain 94634950 unique relations Thu Jul 27 00:00:59 2023 read 94634950 relations Thu Jul 27 00:03:44 2023 using 20 quadratic characters above 4294917295 Thu Jul 27 00:11:11 2023 building initial matrix Thu Jul 27 00:31:14 2023 memory use: 12405.8 MB Thu Jul 27 00:31:25 2023 read 27100682 cycles Thu Jul 27 00:31:29 2023 matrix is 27100504 x 27100682 (12774.1 MB) with weight 3659185459 (135.02/col) Thu Jul 27 00:31:29 2023 sparse part has weight 3050551843 (112.56/col) Thu Jul 27 00:35:44 2023 filtering completed in 2 passes Thu Jul 27 00:35:48 2023 matrix is 27099064 x 27099239 (12774.0 MB) with weight 3659133146 (135.03/col) Thu Jul 27 00:35:48 2023 sparse part has weight 3050533381 (112.57/col) Thu Jul 27 00:36:55 2023 matrix starts at (0, 0) Thu Jul 27 00:36:57 2023 matrix is 27099064 x 27099239 (12774.0 MB) with weight 3659133146 (135.03/col) Thu Jul 27 00:36:57 2023 sparse part has weight 3050533381 (112.57/col) Thu Jul 27 00:36:57 2023 saving the first 240 matrix rows for later Thu Jul 27 00:37:03 2023 matrix includes 256 packed rows Thu Jul 27 00:37:11 2023 matrix is 27098824 x 27099239 (11828.7 MB) with weight 2798249490 (103.26/col) Thu Jul 27 00:37:12 2023 sparse part has weight 2667231299 (98.42/col) Thu Jul 27 00:37:12 2023 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB Thu Jul 27 00:39:00 2023 commencing Lanczos iteration (8 threads) Thu Jul 27 00:39:00 2023 memory use: 16343.2 MB Thu Jul 27 00:39:00 2023 VBITS = 256 Thu Jul 27 00:40:18 2023 checkpointing every 110000 dimensions Thu Jul 27 00:42:30 2023 linear algebra at 0.0%, ETA 10 days 6 hours 51 minutes Sun Aug 6 04:08:52 2023 lanczos halted after 106172 iterations (dim = 27098822) Sun Aug 6 04:10:30 2023 recovered 40 nontrivial dependencies Sun Aug 6 04:10:32 2023 BLanczosTime: 879530 Sun Aug 6 04:10:32 2023 Sun Aug 6 04:10:32 2023 commencing square root phase Sun Aug 6 04:10:32 2023 handling dependencies 1 to 64 Sun Aug 6 04:10:32 2023 reading relations for dependency 1 Sun Aug 6 04:10:34 2023 read 13548645 cycles Sun Aug 6 04:11:01 2023 cycles contain 47318110 unique relations Sun Aug 6 04:15:22 2023 read 47318110 relations Sun Aug 6 04:18:28 2023 multiplying 47318110 relations Sun Aug 6 05:04:33 2023 multiply complete, coefficients have about 1351.06 million bits Sun Aug 6 05:04:37 2023 initial square root is modulo 1149503 Sun Aug 6 05:50:11 2023 sqrtTime: 5979 Sun Aug 6 05:50:11 2023 p81 factor: 455297397855933655648429979191562464996769833905530139193126823707587580202896897 Sun Aug 6 05:50:11 2023 p129 factor: 850780141761335249949830244685779954976949307003574681825790275821641268294984051607089331604100785487508946872246582582284344833 Sun Aug 6 05:50:11 2023 elapsed time 248:32:46