Wed Mar 11 16:43:58 2026 Wed Mar 11 16:43:58 2026 Wed Mar 11 16:43:58 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Mar 11 16:43:58 2026 random seeds: 576d2e30 68271b93 Wed Mar 11 16:43:58 2026 MPI process 0 of 1 Wed Mar 11 16:43:58 2026 Using 32 OpenMP threads Wed Mar 11 16:43:58 2026 factoring 1372698468201329885286980128361153752874041158267526512200655945101460259722225029288799107459261863928518364897803492487856825781711759493771483030449277527134532283460321452994700709 (184 digits) Wed Mar 11 16:43:59 2026 searching for 15-digit factors Wed Mar 11 16:44:00 2026 commencing number field sieve (184-digit input) Wed Mar 11 16:44:00 2026 reversing signs of algebraic polynomial Wed Mar 11 16:44:00 2026 R0: -214520088249174987344214858729371568 Wed Mar 11 16:44:00 2026 R1: 11882489821516603990077569 Wed Mar 11 16:44:00 2026 A0: 2926168789122489550583246096970691213464418 Wed Mar 11 16:44:00 2026 A1: 7028387988194887111853820196846276211 Wed Mar 11 16:44:00 2026 A2: -590135476547469064430636917828 Wed Mar 11 16:44:00 2026 A3: -48465208098838032258731 Wed Mar 11 16:44:00 2026 A4: 22268545857090 Wed Mar 11 16:44:00 2026 A5: 30214800 Wed Mar 11 16:44:00 2026 skew 1.00, size 6.487e-18, alpha -8.427, combined = 2.988e-16 rroots = 3 Wed Mar 11 16:44:00 2026 Wed Mar 11 16:44:00 2026 commencing relation filtering Wed Mar 11 16:44:00 2026 setting target matrix density to 130.0 Wed Mar 11 16:44:00 2026 reversing signs of algebraic polynomial Wed Mar 11 16:44:00 2026 estimated available RAM is 257736.5 MB Wed Mar 11 16:44:00 2026 commencing duplicate removal, pass 1 Wed Mar 11 16:44:48 2026 error -1 reading relation 19488432 Wed Mar 11 16:45:23 2026 error -15 reading relation 34031553 Wed Mar 11 16:46:30 2026 error -1 reading relation 62330850 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357955 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357957 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357960 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357962 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357963 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357964 Wed Mar 11 16:46:54 2026 error -15 reading relation 72357967 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357969 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357971 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357974 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357975 Wed Mar 11 16:46:54 2026 error -15 reading relation 72357976 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357977 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357978 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357980 Wed Mar 11 16:46:54 2026 error -1 reading relation 72357983 Wed Mar 11 16:47:55 2026 error -1 reading relation 96701683 Wed Mar 11 16:48:42 2026 error -1 reading relation 115080815 Wed Mar 11 16:48:55 2026 error -1 reading relation 119922011 Wed Mar 11 16:49:09 2026 error -1 reading relation 125357242 Wed Mar 11 16:49:46 2026 error -1 reading relation 140819139 Wed Mar 11 16:49:51 2026 error -1 reading relation 142913481 Wed Mar 11 16:50:03 2026 error -1 reading relation 147771028 Wed Mar 11 16:50:13 2026 error -1 reading relation 151797253 Wed Mar 11 16:50:19 2026 error -1 reading relation 154497387 Wed Mar 11 16:50:26 2026 error -1 reading relation 157067272 Wed Mar 11 16:51:29 2026 error -15 reading relation 183179885 Wed Mar 11 16:52:03 2026 error -1 reading relation 196566587 Wed Mar 11 16:52:09 2026 error -1 reading relation 199387647 Wed Mar 11 16:52:11 2026 error -1 reading relation 199952140 Wed Mar 11 16:52:29 2026 error -1 reading relation 207461581 Wed Mar 11 16:52:39 2026 error -1 reading relation 211519529 Wed Mar 11 16:53:45 2026 error -1 reading relation 238904067 Wed Mar 11 16:54:07 2026 error -1 reading relation 247860751 Wed Mar 11 16:54:13 2026 error -1 reading relation 250364992 Wed Mar 11 16:55:27 2026 error -1 reading relation 280728492 Wed Mar 11 16:55:47 2026 error -1 reading relation 289041688 Wed Mar 11 16:55:51 2026 error -1 reading relation 290967556 Wed Mar 11 16:55:56 2026 error -1 reading relation 292832924 Wed Mar 11 16:56:03 2026 error -1 reading relation 296041515 Wed Mar 11 16:56:08 2026 error -1 reading relation 298039681 Wed Mar 11 16:56:21 2026 error -1 reading relation 303131353 Wed Mar 11 16:56:26 2026 error -1 reading relation 304914757 Wed Mar 11 16:56:49 2026 error -1 reading relation 313818158 Wed Mar 11 16:57:27 2026 error -1 reading relation 328897857 Wed Mar 11 16:57:45 2026 error -1 reading relation 335264748 Wed Mar 11 16:58:02 2026 error -1 reading relation 341419754 Wed Mar 11 16:58:04 2026 error -1 reading relation 342193236 Wed Mar 11 16:58:12 2026 error -1 reading relation 345288949 Wed Mar 11 16:58:17 2026 error -1 reading relation 347354132 Wed Mar 11 16:58:51 2026 error -1 reading relation 360329453 Wed Mar 11 16:59:19 2026 error -1 reading relation 370685891 Wed Mar 11 16:59:31 2026 error -1 reading relation 375215400 Wed Mar 11 16:59:38 2026 error -1 reading relation 378339176 Wed Mar 11 16:59:57 2026 error -1 reading relation 386002107 Wed Mar 11 17:00:01 2026 error -1 reading relation 387672440 Wed Mar 11 17:00:03 2026 error -1 reading relation 388456877 Wed Mar 11 17:00:07 2026 error -1 reading relation 389949401 Wed Mar 11 17:00:10 2026 error -1 reading relation 391304014 Wed Mar 11 17:00:11 2026 error -1 reading relation 391587991 Wed Mar 11 17:00:14 2026 error -1 reading relation 392830779 Wed Mar 11 17:00:18 2026 error -1 reading relation 394741373 Wed Mar 11 17:00:40 2026 error -1 reading relation 403810103 Wed Mar 11 17:00:41 2026 error -1 reading relation 404182625 Wed Mar 11 17:00:56 2026 error -1 reading relation 410424632 Wed Mar 11 17:01:06 2026 error -5 reading relation 414733333 Wed Mar 11 17:01:11 2026 error -1 reading relation 416659953 Wed Mar 11 17:01:17 2026 error -1 reading relation 419096144 Wed Mar 11 17:01:25 2026 error -1 reading relation 422380446 Wed Mar 11 17:01:27 2026 error -1 reading relation 422899381 Wed Mar 11 17:01:53 2026 error -1 reading relation 433248801 Wed Mar 11 17:02:31 2026 error -1 reading relation 448655724 Wed Mar 11 17:02:38 2026 error -1 reading relation 451401201 Wed Mar 11 17:02:51 2026 error -1 reading relation 456977682 Wed Mar 11 17:03:04 2026 skipped 12 relations with composite factors Wed Mar 11 17:03:04 2026 skipped 494 malformed relations Wed Mar 11 17:03:04 2026 found 97703955 hash collisions in 462654562 relations Wed Mar 11 17:03:42 2026 commencing duplicate removal, pass 2 Wed Mar 11 17:19:17 2026 found 101871572 duplicates and 360782990 unique relations Wed Mar 11 17:19:17 2026 memory use: 2899.0 MB Wed Mar 11 17:19:18 2026 reading ideals above 720000 Wed Mar 11 17:19:18 2026 commencing singleton removal, initial pass Wed Mar 11 18:13:27 2026 memory use: 11024.0 MB Wed Mar 11 18:13:28 2026 reading all ideals from disk Wed Mar 11 18:13:40 2026 memory use: 17800.4 MB Wed Mar 11 18:15:54 2026 keeping 336638506 ideals with weight <= 200, target excess is 1820261 Wed Mar 11 18:19:02 2026 commencing in-memory singleton removal Wed Mar 11 18:19:13 2026 begin with 360782990 relations and 336638506 unique ideals Wed Mar 11 18:20:02 2026 reduce to 230440125 relations and 192776676 ideals in 14 passes Wed Mar 11 18:20:02 2026 max relations containing the same ideal: 159 Wed Mar 11 18:23:30 2026 removing 13707635 relations and 11707635 ideals in 2000000 cliques Wed Mar 11 18:23:42 2026 commencing in-memory singleton removal Wed Mar 11 18:23:49 2026 begin with 216732490 relations and 192776676 unique ideals Wed Mar 11 18:24:11 2026 reduce to 216080628 relations and 180409333 ideals in 10 passes Wed Mar 11 18:24:11 2026 max relations containing the same ideal: 155 Wed Mar 11 18:27:03 2026 removing 10329106 relations and 8329106 ideals in 2000000 cliques Wed Mar 11 18:27:16 2026 commencing in-memory singleton removal Wed Mar 11 18:27:22 2026 begin with 205751522 relations and 180409333 unique ideals Wed Mar 11 18:27:42 2026 reduce to 205338877 relations and 171663356 ideals in 8 passes Wed Mar 11 18:27:42 2026 max relations containing the same ideal: 152 Wed Mar 11 18:30:38 2026 removing 9276772 relations and 7276772 ideals in 2000000 cliques Wed Mar 11 18:30:50 2026 commencing in-memory singleton removal Wed Mar 11 18:30:55 2026 begin with 196062105 relations and 171663356 unique ideals Wed Mar 11 18:31:15 2026 reduce to 195707173 relations and 164028156 ideals in 10 passes Wed Mar 11 18:31:15 2026 max relations containing the same ideal: 145 Wed Mar 11 18:34:31 2026 removing 8709886 relations and 6709886 ideals in 2000000 cliques Wed Mar 11 18:34:43 2026 commencing in-memory singleton removal Wed Mar 11 18:34:49 2026 begin with 186997287 relations and 164028156 unique ideals Wed Mar 11 18:35:07 2026 reduce to 186667954 relations and 156985675 ideals in 8 passes Wed Mar 11 18:35:07 2026 max relations containing the same ideal: 140 Wed Mar 11 18:37:52 2026 removing 8346337 relations and 6346337 ideals in 2000000 cliques Wed Mar 11 18:38:02 2026 commencing in-memory singleton removal Wed Mar 11 18:38:06 2026 begin with 178321617 relations and 156985675 unique ideals Wed Mar 11 18:38:21 2026 reduce to 178005578 relations and 150320141 ideals in 7 passes Wed Mar 11 18:38:21 2026 max relations containing the same ideal: 136 Wed Mar 11 18:40:52 2026 removing 8093633 relations and 6093633 ideals in 2000000 cliques Wed Mar 11 18:41:03 2026 commencing in-memory singleton removal Wed Mar 11 18:41:08 2026 begin with 169911945 relations and 150320141 unique ideals Wed Mar 11 18:41:22 2026 reduce to 169601177 relations and 143912504 ideals in 8 passes Wed Mar 11 18:41:22 2026 max relations containing the same ideal: 134 Wed Mar 11 18:44:01 2026 removing 7919881 relations and 5919881 ideals in 2000000 cliques Wed Mar 11 18:44:10 2026 commencing in-memory singleton removal Wed Mar 11 18:44:15 2026 begin with 161681296 relations and 143912504 unique ideals Wed Mar 11 18:44:28 2026 reduce to 161371407 relations and 137679472 ideals in 8 passes Wed Mar 11 18:44:28 2026 max relations containing the same ideal: 129 Wed Mar 11 18:46:38 2026 removing 7797755 relations and 5797755 ideals in 2000000 cliques Wed Mar 11 18:46:46 2026 commencing in-memory singleton removal Wed Mar 11 18:46:50 2026 begin with 153573652 relations and 137679472 unique ideals Wed Mar 11 18:47:03 2026 reduce to 153259085 relations and 131563644 ideals in 7 passes Wed Mar 11 18:47:03 2026 max relations containing the same ideal: 127 Wed Mar 11 18:49:14 2026 removing 7705577 relations and 5705577 ideals in 2000000 cliques Wed Mar 11 18:49:23 2026 commencing in-memory singleton removal Wed Mar 11 18:49:27 2026 begin with 145553508 relations and 131563644 unique ideals Wed Mar 11 18:49:38 2026 reduce to 145231118 relations and 125531892 ideals in 8 passes Wed Mar 11 18:49:38 2026 max relations containing the same ideal: 118 Wed Mar 11 18:51:43 2026 removing 7652398 relations and 5652398 ideals in 2000000 cliques Wed Mar 11 18:51:50 2026 commencing in-memory singleton removal Wed Mar 11 18:51:53 2026 begin with 137578720 relations and 125531892 unique ideals Wed Mar 11 18:52:05 2026 reduce to 137244321 relations and 119541116 ideals in 8 passes Wed Mar 11 18:52:05 2026 max relations containing the same ideal: 115 Wed Mar 11 18:54:08 2026 removing 7626003 relations and 5626003 ideals in 2000000 cliques Wed Mar 11 18:54:15 2026 commencing in-memory singleton removal Wed Mar 11 18:54:19 2026 begin with 129618318 relations and 119541116 unique ideals Wed Mar 11 18:54:29 2026 reduce to 129270033 relations and 113562346 ideals in 7 passes Wed Mar 11 18:54:29 2026 max relations containing the same ideal: 109 Wed Mar 11 18:56:22 2026 removing 7619388 relations and 5619388 ideals in 2000000 cliques Wed Mar 11 18:56:29 2026 commencing in-memory singleton removal Wed Mar 11 18:56:32 2026 begin with 121650645 relations and 113562346 unique ideals Wed Mar 11 18:56:40 2026 reduce to 121281249 relations and 107568502 ideals in 7 passes Wed Mar 11 18:56:40 2026 max relations containing the same ideal: 105 Wed Mar 11 18:58:20 2026 removing 7633480 relations and 5633480 ideals in 2000000 cliques Wed Mar 11 18:58:27 2026 commencing in-memory singleton removal Wed Mar 11 18:58:30 2026 begin with 113647769 relations and 107568502 unique ideals Wed Mar 11 18:58:37 2026 reduce to 113250919 relations and 101532556 ideals in 7 passes Wed Mar 11 18:58:37 2026 max relations containing the same ideal: 100 Wed Mar 11 19:00:15 2026 removing 7679765 relations and 5679765 ideals in 2000000 cliques Wed Mar 11 19:00:22 2026 commencing in-memory singleton removal Wed Mar 11 19:00:24 2026 begin with 105571154 relations and 101532556 unique ideals Wed Mar 11 19:00:33 2026 reduce to 105142815 relations and 95417927 ideals in 8 passes Wed Mar 11 19:00:33 2026 max relations containing the same ideal: 97 Wed Mar 11 19:02:04 2026 removing 7749113 relations and 5749113 ideals in 2000000 cliques Wed Mar 11 19:02:10 2026 commencing in-memory singleton removal Wed Mar 11 19:02:12 2026 begin with 97393702 relations and 95417927 unique ideals Wed Mar 11 19:02:19 2026 reduce to 96920972 relations and 89188357 ideals in 7 passes Wed Mar 11 19:02:19 2026 max relations containing the same ideal: 92 Wed Mar 11 19:03:41 2026 removing 7836088 relations and 5836088 ideals in 2000000 cliques Wed Mar 11 19:03:47 2026 commencing in-memory singleton removal Wed Mar 11 19:03:50 2026 begin with 89084884 relations and 89188357 unique ideals Wed Mar 11 19:03:57 2026 reduce to 88556737 relations and 82814869 ideals in 9 passes Wed Mar 11 19:03:57 2026 max relations containing the same ideal: 87 Wed Mar 11 19:05:12 2026 removing 7974837 relations and 5974837 ideals in 2000000 cliques Wed Mar 11 19:05:18 2026 commencing in-memory singleton removal Wed Mar 11 19:05:19 2026 begin with 80581900 relations and 82814869 unique ideals Wed Mar 11 19:05:26 2026 reduce to 79976769 relations and 76223304 ideals in 9 passes Wed Mar 11 19:05:26 2026 max relations containing the same ideal: 81 Wed Mar 11 19:06:36 2026 removing 6957977 relations and 5316015 ideals in 1641962 cliques Wed Mar 11 19:06:42 2026 commencing in-memory singleton removal Wed Mar 11 19:06:43 2026 begin with 73018792 relations and 76223304 unique ideals Wed Mar 11 19:06:49 2026 reduce to 72510045 relations and 70389399 ideals in 8 passes Wed Mar 11 19:06:49 2026 max relations containing the same ideal: 76 Wed Mar 11 19:07:50 2026 removing 85210 relations and 76067 ideals in 9143 cliques Wed Mar 11 19:07:54 2026 commencing in-memory singleton removal Wed Mar 11 19:07:56 2026 begin with 72424835 relations and 70389399 unique ideals Wed Mar 11 19:07:59 2026 reduce to 72424791 relations and 70313288 ideals in 3 passes Wed Mar 11 19:07:59 2026 max relations containing the same ideal: 76 Wed Mar 11 19:08:13 2026 relations with 0 large ideals: 6190 Wed Mar 11 19:08:13 2026 relations with 1 large ideals: 40046 Wed Mar 11 19:08:13 2026 relations with 2 large ideals: 529335 Wed Mar 11 19:08:13 2026 relations with 3 large ideals: 3043648 Wed Mar 11 19:08:13 2026 relations with 4 large ideals: 9420495 Wed Mar 11 19:08:13 2026 relations with 5 large ideals: 17331596 Wed Mar 11 19:08:13 2026 relations with 6 large ideals: 19848356 Wed Mar 11 19:08:13 2026 relations with 7+ large ideals: 22205125 Wed Mar 11 19:08:13 2026 commencing 2-way merge Wed Mar 11 19:09:43 2026 reduce to 45180793 relation sets and 43069290 unique ideals Wed Mar 11 19:09:43 2026 commencing full merge Wed Mar 11 19:42:27 2026 memory use: 5199.7 MB Wed Mar 11 19:42:35 2026 found 19459242 cycles, need 19385490 Wed Mar 11 19:42:45 2026 weight of 19385490 cycles is about 2520850673 (130.04/cycle) Wed Mar 11 19:42:45 2026 distribution of cycle lengths: Wed Mar 11 19:42:45 2026 1 relations: 1313777 Wed Mar 11 19:42:45 2026 2 relations: 1288792 Wed Mar 11 19:42:45 2026 3 relations: 1326638 Wed Mar 11 19:42:45 2026 4 relations: 1300407 Wed Mar 11 19:42:45 2026 5 relations: 1304488 Wed Mar 11 19:42:45 2026 6 relations: 1269593 Wed Mar 11 19:42:45 2026 7 relations: 1256805 Wed Mar 11 19:42:45 2026 8 relations: 1199263 Wed Mar 11 19:42:45 2026 9 relations: 1150648 Wed Mar 11 19:42:45 2026 10+ relations: 7975079 Wed Mar 11 19:42:45 2026 heaviest cycle: 28 relations Wed Mar 11 19:42:55 2026 commencing cycle optimization Wed Mar 11 19:44:23 2026 start with 173941274 relations Wed Mar 11 19:56:45 2026 pruned 7584128 relations Wed Mar 11 19:56:46 2026 memory use: 4725.3 MB Wed Mar 11 19:56:46 2026 distribution of cycle lengths: Wed Mar 11 19:56:46 2026 1 relations: 1313777 Wed Mar 11 19:56:46 2026 2 relations: 1323009 Wed Mar 11 19:56:46 2026 3 relations: 1381329 Wed Mar 11 19:56:46 2026 4 relations: 1351863 Wed Mar 11 19:56:46 2026 5 relations: 1364059 Wed Mar 11 19:56:46 2026 6 relations: 1326718 Wed Mar 11 19:56:46 2026 7 relations: 1316650 Wed Mar 11 19:56:46 2026 8 relations: 1253607 Wed Mar 11 19:56:46 2026 9 relations: 1200079 Wed Mar 11 19:56:46 2026 10+ relations: 7554399 Wed Mar 11 19:56:46 2026 heaviest cycle: 28 relations Wed Mar 11 19:57:45 2026 RelProcTime: 11625 Wed Mar 11 19:57:45 2026 Wed Mar 11 19:57:45 2026 commencing linear algebra Wed Mar 11 19:57:45 2026 using VBITS=256 Wed Mar 11 19:57:45 2026 stopping after matrix build Wed Mar 11 19:57:45 2026 initialized process (0,0) of 1 x 1 grid Wed Mar 11 19:57:45 2026 reversing signs of algebraic polynomial Wed Mar 11 19:57:49 2026 read 19385490 cycles Wed Mar 11 19:59:04 2026 cycles contain 71075824 unique relations Wed Mar 11 20:09:08 2026 read 71075824 relations Wed Mar 11 20:09:23 2026 using 20 quadratic characters above 4294917295 Wed Mar 11 20:09:35 2026 building initial matrix Wed Mar 11 20:45:25 2026 memory use: 9829.5 MB Wed Mar 11 20:46:02 2026 read 19385490 cycles Wed Mar 11 20:46:13 2026 matrix is 19385311 x 19385490 (9827.2 MB) with weight 2964727854 (152.94/col) Wed Mar 11 20:46:13 2026 sparse part has weight 2343503492 (120.89/col) Wed Mar 11 20:56:17 2026 filtering completed in 2 passes Wed Mar 11 20:56:25 2026 matrix is 19384478 x 19384655 (9827.1 MB) with weight 2964682571 (152.94/col) Wed Mar 11 20:56:25 2026 sparse part has weight 2343487259 (120.89/col) Wed Mar 11 20:59:23 2026 BLanczosTime: 3698 Wed Mar 11 20:59:23 2026 elapsed time 04:15:25 Wed Mar 11 21:22:36 2026 Wed Mar 11 21:22:36 2026 Wed Mar 11 21:22:36 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Mar 11 21:22:36 2026 random seeds: a05355a7 75d41c93 Wed Mar 11 21:22:36 2026 MPI process 0 of 1 Wed Mar 11 21:22:36 2026 Using 64 OpenMP threads Wed Mar 11 21:22:36 2026 factoring 1372698468201329885286980128361153752874041158267526512200655945101460259722225029288799107459261863928518364897803492487856825781711759493771483030449277527134532283460321452994700709 (184 digits) Wed Mar 11 21:22:37 2026 searching for 15-digit factors Wed Mar 11 21:22:37 2026 commencing number field sieve (184-digit input) Wed Mar 11 21:22:37 2026 reversing signs of algebraic polynomial Wed Mar 11 21:22:37 2026 R0: -214520088249174987344214858729371568 Wed Mar 11 21:22:37 2026 R1: 11882489821516603990077569 Wed Mar 11 21:22:37 2026 A0: 2926168789122489550583246096970691213464418 Wed Mar 11 21:22:37 2026 A1: 7028387988194887111853820196846276211 Wed Mar 11 21:22:37 2026 A2: -590135476547469064430636917828 Wed Mar 11 21:22:37 2026 A3: -48465208098838032258731 Wed Mar 11 21:22:37 2026 A4: 22268545857090 Wed Mar 11 21:22:37 2026 A5: 30214800 Wed Mar 11 21:22:37 2026 skew 1.00, size 6.487e-18, alpha -8.427, combined = 2.988e-16 rroots = 3 Wed Mar 11 21:22:37 2026 Wed Mar 11 21:22:37 2026 commencing linear algebra Wed Mar 11 21:22:37 2026 using VBITS=256 Wed Mar 11 21:22:37 2026 skipping matrix build Wed Mar 11 21:22:37 2026 initialized process (0,0) of 1 x 1 grid Wed Mar 11 21:22:47 2026 matrix starts at (0, 0) Wed Mar 11 21:22:49 2026 matrix is 19384478 x 19384655 (9827.1 MB) with weight 2964682571 (152.94/col) Wed Mar 11 21:22:49 2026 sparse part has weight 2343487259 (120.89/col) Wed Mar 11 21:22:49 2026 saving the first 240 matrix rows for later Wed Mar 11 21:22:53 2026 matrix includes 256 packed rows Wed Mar 11 21:23:00 2026 matrix is 19384238 x 19384655 (8876.9 MB) with weight 2142806290 (110.54/col) Wed Mar 11 21:23:00 2026 sparse part has weight 2016884171 (104.05/col) Wed Mar 11 21:23:00 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Mar 11 21:23:44 2026 commencing Lanczos iteration (64 threads) Wed Mar 11 21:23:44 2026 memory use: 12597.5 MB Wed Mar 11 21:26:41 2026 linear algebra at 0.2%, ETA 30h21m Wed Mar 11 21:31:00 2026 checking every 10000 dimensions, checkpointing every 650000 dimensions Fri Mar 13 03:09:05 2026 lanczos halted after 75946 iterations (dim = 19384237) Fri Mar 13 03:10:25 2026 recovered 28 nontrivial dependencies Fri Mar 13 03:10:27 2026 BLanczosTime: 107270 Fri Mar 13 03:10:27 2026 Fri Mar 13 03:10:27 2026 commencing square root phase Fri Mar 13 03:10:27 2026 reversing signs of algebraic polynomial Fri Mar 13 03:10:27 2026 handling dependencies 1 to 64 Fri Mar 13 03:10:27 2026 reading relations for dependency 1 Fri Mar 13 03:10:29 2026 read 9688894 cycles Fri Mar 13 03:10:58 2026 cycles contain 35535452 unique relations Fri Mar 13 03:20:33 2026 read 35535452 relations Fri Mar 13 03:26:31 2026 multiplying 35535452 relations Fri Mar 13 03:34:18 2026 multiply complete, coefficients have about 2254.26 million bits Fri Mar 13 03:34:27 2026 initial square root is modulo 113809 Fri Mar 13 04:03:27 2026 GCD is N, no factor found Fri Mar 13 04:03:27 2026 reading relations for dependency 2 Fri Mar 13 04:03:31 2026 read 9695378 cycles Fri Mar 13 04:04:14 2026 cycles contain 35552718 unique relations Fri Mar 13 04:14:09 2026 read 35552718 relations Fri Mar 13 04:19:59 2026 multiplying 35552718 relations Fri Mar 13 04:27:34 2026 multiply complete, coefficients have about 2255.38 million bits Fri Mar 13 04:27:43 2026 initial square root is modulo 114479 Fri Mar 13 04:57:13 2026 sqrtTime: 6406 Fri Mar 13 04:57:13 2026 p79 factor: 3169008971182903427307285509091552227819440662332261579775113542945210767755767 Fri Mar 13 04:57:13 2026 p105 factor: 433163326668948968480343268230756189026113670065341548611212767843396838141380711537698182136218385385027 Fri Mar 13 04:57:13 2026 elapsed time 31:34:37