Thu Jul 30 14:51:55 2026 Thu Jul 30 14:51:55 2026 Thu Jul 30 14:51:55 2026 Msieve v. 1.53 (SVN 988) Thu Jul 30 14:51:55 2026 random seeds: 9eab89e0 00b23ce5 Thu Jul 30 14:51:55 2026 factoring 45411460844438240757650120036179943864127154215533967849731308154669644423925845723336050395494191006573240197366973459538113507876599942194853086677787667613504911521 (167 digits) Thu Jul 30 14:51:56 2026 searching for 15-digit factors Thu Jul 30 14:51:56 2026 commencing number field sieve (167-digit input) Thu Jul 30 14:51:56 2026 R0: -60146013558702362759870303370064 Thu Jul 30 14:51:56 2026 R1: 82293542414375877921836611 Thu Jul 30 14:51:56 2026 A0: -45098110222243092730429599309964303554 Thu Jul 30 14:51:56 2026 A1: 40758438388376528407268358814787 Thu Jul 30 14:51:56 2026 A2: 333955328198505818943770264 Thu Jul 30 14:51:56 2026 A3: 47945351771585803533 Thu Jul 30 14:51:56 2026 A4: -218334111981630 Thu Jul 30 14:51:56 2026 A5: 3931200 Thu Jul 30 14:51:56 2026 skew 887408.21, size 3.615e-016, alpha -7.524, combined = 6.356e-013 rroots = 5 Thu Jul 30 14:51:56 2026 Thu Jul 30 14:51:56 2026 commencing relation filtering Thu Jul 30 14:51:56 2026 setting target matrix density to 120.0 Thu Jul 30 14:51:56 2026 estimated available RAM is 16151.1 MB Thu Jul 30 14:51:56 2026 commencing duplicate removal, pass 1 Thu Jul 30 14:51:57 2026 error -15 reading relation 107420 Thu Jul 30 14:52:32 2026 error -9 reading relation 4423469 Thu Jul 30 14:52:47 2026 error -15 reading relation 6301670 Thu Jul 30 14:52:57 2026 error -15 reading relation 7726682 Thu Jul 30 14:52:57 2026 error -15 reading relation 7731604 Thu Jul 30 14:54:34 2026 error -9 reading relation 19786225 Thu Jul 30 14:54:38 2026 error -9 reading relation 20321344 Thu Jul 30 14:54:41 2026 error -9 reading relation 20572077 Thu Jul 30 14:54:45 2026 error -9 reading relation 21173027 Thu Jul 30 14:55:45 2026 error -9 reading relation 28330548 Thu Jul 30 14:56:51 2026 error -9 reading relation 36571372 Thu Jul 30 14:57:26 2026 error -15 reading relation 40833599 Thu Jul 30 14:57:46 2026 error -15 reading relation 43265305 Thu Jul 30 14:59:23 2026 error -15 reading relation 55388535 Thu Jul 30 14:59:23 2026 error -1 reading relation 55396148 Thu Jul 30 14:59:34 2026 error -9 reading relation 56761040 Thu Jul 30 14:59:38 2026 error -15 reading relation 57261119 Thu Jul 30 14:59:57 2026 error -15 reading relation 59542324 Thu Jul 30 15:00:21 2026 error -5 reading relation 62538920 Thu Jul 30 15:00:50 2026 error -15 reading relation 66114872 Thu Jul 30 15:01:23 2026 error -15 reading relation 70134913 Thu Jul 30 15:01:34 2026 error -5 reading relation 71534237 Thu Jul 30 15:02:24 2026 error -15 reading relation 77725110 Thu Jul 30 15:02:29 2026 error -15 reading relation 78226455 Thu Jul 30 15:02:29 2026 error -15 reading relation 78229631 Thu Jul 30 15:02:53 2026 error -9 reading relation 81274359 Thu Jul 30 15:03:02 2026 error -9 reading relation 82375593 Thu Jul 30 15:03:52 2026 error -1 reading relation 88587537 Thu Jul 30 15:03:53 2026 error -5 reading relation 88674214 Thu Jul 30 15:03:53 2026 error -15 reading relation 88674451 Thu Jul 30 15:04:29 2026 error -9 reading relation 93003462 Thu Jul 30 15:04:48 2026 error -15 reading relation 95188547 Thu Jul 30 15:05:07 2026 error -15 reading relation 97456059 Thu Jul 30 15:05:33 2026 error -5 reading relation 100505495 Thu Jul 30 15:05:33 2026 error -15 reading relation 100508473 Thu Jul 30 15:05:34 2026 error -15 reading relation 100611345 Thu Jul 30 15:05:49 2026 error -15 reading relation 102374736 Thu Jul 30 15:05:52 2026 error -9 reading relation 102803102 Thu Jul 30 15:06:00 2026 error -15 reading relation 103865421 Thu Jul 30 15:06:14 2026 error -15 reading relation 105533219 Thu Jul 30 15:06:51 2026 error -15 reading relation 110153291 Thu Jul 30 15:07:28 2026 error -15 reading relation 114822786 Thu Jul 30 15:07:52 2026 error -9 reading relation 117556150 Thu Jul 30 15:07:53 2026 error -15 reading relation 117759378 Thu Jul 30 15:08:04 2026 error -9 reading relation 119052168 Thu Jul 30 15:08:05 2026 error -1 reading relation 119131090 Thu Jul 30 15:08:26 2026 error -9 reading relation 121748053 Thu Jul 30 15:08:33 2026 error -9 reading relation 122674944 Thu Jul 30 15:08:43 2026 error -9 reading relation 123836254 Thu Jul 30 15:08:43 2026 error -15 reading relation 123843300 Thu Jul 30 15:08:44 2026 error -15 reading relation 124064400 Thu Jul 30 15:08:47 2026 error -15 reading relation 124406201 Thu Jul 30 15:08:57 2026 error -15 reading relation 125647072 Thu Jul 30 15:08:57 2026 error -9 reading relation 125677009 Thu Jul 30 15:09:04 2026 error -15 reading relation 126544087 Thu Jul 30 15:09:09 2026 error -9 reading relation 127133598 Thu Jul 30 15:09:15 2026 error -9 reading relation 127935530 Thu Jul 30 15:09:16 2026 error -15 reading relation 128029360 Thu Jul 30 15:09:20 2026 error -15 reading relation 128557379 Thu Jul 30 15:09:24 2026 error -1 reading relation 129134606 Thu Jul 30 15:09:34 2026 error -9 reading relation 130371229 Thu Jul 30 15:09:36 2026 error -1 reading relation 130613692 Thu Jul 30 15:09:36 2026 error -1 reading relation 130643700 Thu Jul 30 15:09:40 2026 error -9 reading relation 131205056 Thu Jul 30 15:09:55 2026 error -1 reading relation 132993607 Thu Jul 30 15:09:58 2026 error -15 reading relation 133259362 Thu Jul 30 15:10:09 2026 error -9 reading relation 134251953 Thu Jul 30 15:10:23 2026 error -15 reading relation 135876849 Thu Jul 30 15:10:29 2026 error -9 reading relation 136549254 Thu Jul 30 15:10:33 2026 error -9 reading relation 137034416 Thu Jul 30 15:10:40 2026 error -15 reading relation 137918210 Thu Jul 30 15:10:45 2026 error -15 reading relation 138522587 Thu Jul 30 15:10:49 2026 error -15 reading relation 139080769 Thu Jul 30 15:10:50 2026 error -15 reading relation 139122009 Thu Jul 30 15:11:04 2026 error -1 reading relation 141005945 Thu Jul 30 15:11:13 2026 error -5 reading relation 142139257 Thu Jul 30 15:11:14 2026 error -15 reading relation 142150313 Thu Jul 30 15:11:19 2026 error -9 reading relation 142862343 Thu Jul 30 15:11:37 2026 error -15 reading relation 145110029 Thu Jul 30 15:11:37 2026 error -9 reading relation 145210354 Thu Jul 30 15:11:49 2026 error -15 reading relation 146679032 Thu Jul 30 15:11:56 2026 error -9 reading relation 147637813 Thu Jul 30 15:11:57 2026 error -1 reading relation 147734526 Thu Jul 30 15:11:59 2026 error -9 reading relation 147957069 Thu Jul 30 15:12:07 2026 error -9 reading relation 148932047 Thu Jul 30 15:12:07 2026 error -15 reading relation 148965859 Thu Jul 30 15:12:14 2026 error -9 reading relation 149798999 Thu Jul 30 15:12:14 2026 error -15 reading relation 149806437 Thu Jul 30 15:12:14 2026 error -15 reading relation 149815430 Thu Jul 30 15:12:14 2026 error -15 reading relation 149829842 Thu Jul 30 15:12:17 2026 error -1 reading relation 150129413 Thu Jul 30 15:12:20 2026 error -9 reading relation 150534334 Thu Jul 30 15:12:21 2026 error -15 reading relation 150658689 Thu Jul 30 15:12:27 2026 error -9 reading relation 151419464 Thu Jul 30 15:12:38 2026 error -5 reading relation 152807173 Thu Jul 30 15:12:41 2026 error -1 reading relation 153237802 Thu Jul 30 15:13:00 2026 error -15 reading relation 155545891 Thu Jul 30 15:14:00 2026 error -1 reading relation 163151776 Thu Jul 30 15:14:04 2026 error -15 reading relation 163611460 Thu Jul 30 15:14:16 2026 error -9 reading relation 165180781 Thu Jul 30 15:14:24 2026 error -9 reading relation 166204384 Thu Jul 30 15:14:24 2026 error -5 reading relation 166251211 Thu Jul 30 15:14:27 2026 error -15 reading relation 166574475 Thu Jul 30 15:14:33 2026 error -9 reading relation 167359654 Thu Jul 30 15:14:49 2026 error -15 reading relation 169585901 Thu Jul 30 15:14:49 2026 error -15 reading relation 169587436 Thu Jul 30 15:14:53 2026 error -15 reading relation 170122544 Thu Jul 30 15:14:53 2026 error -9 reading relation 170137606 Thu Jul 30 15:14:58 2026 error -1 reading relation 170768060 Thu Jul 30 15:14:59 2026 error -15 reading relation 170932739 Thu Jul 30 15:15:01 2026 error -15 reading relation 171116162 Thu Jul 30 15:15:02 2026 error -15 reading relation 171254116 Thu Jul 30 15:15:02 2026 error -15 reading relation 171262341 Thu Jul 30 15:15:02 2026 error -15 reading relation 171281094 Thu Jul 30 15:15:03 2026 error -15 reading relation 171381433 Thu Jul 30 15:15:05 2026 error -15 reading relation 171609870 Thu Jul 30 15:15:09 2026 error -9 reading relation 172189069 Thu Jul 30 15:15:09 2026 error -5 reading relation 172198427 Thu Jul 30 15:15:09 2026 error -15 reading relation 172260013 Thu Jul 30 15:15:10 2026 error -15 reading relation 172353160 Thu Jul 30 15:15:13 2026 error -1 reading relation 172721069 Thu Jul 30 15:15:15 2026 error -9 reading relation 172958944 Thu Jul 30 15:15:16 2026 error -15 reading relation 173094306 Thu Jul 30 15:15:16 2026 error -15 reading relation 173099745 Thu Jul 30 15:15:18 2026 error -9 reading relation 173360029 Thu Jul 30 15:15:25 2026 error -9 reading relation 174186328 Thu Jul 30 15:15:32 2026 error -15 reading relation 175076321 Thu Jul 30 15:15:32 2026 error -1 reading relation 175092835 Thu Jul 30 15:15:42 2026 error -15 reading relation 176281152 Thu Jul 30 15:15:42 2026 error -15 reading relation 176286102 Thu Jul 30 15:15:42 2026 error -15 reading relation 176292357 Thu Jul 30 15:16:28 2026 error -1 reading relation 181750497 Thu Jul 30 15:16:29 2026 error -9 reading relation 181866789 Thu Jul 30 15:16:33 2026 error -9 reading relation 182384566 Thu Jul 30 15:16:53 2026 error -15 reading relation 185199040 Thu Jul 30 15:16:59 2026 error -5 reading relation 185942358 Thu Jul 30 15:17:05 2026 error -9 reading relation 186739051 Thu Jul 30 15:17:06 2026 error -1 reading relation 186871828 Thu Jul 30 15:17:09 2026 error -9 reading relation 187255489 Thu Jul 30 15:17:09 2026 error -9 reading relation 187261396 Thu Jul 30 15:17:09 2026 error -15 reading relation 187262372 Thu Jul 30 15:17:09 2026 error -15 reading relation 187279897 Thu Jul 30 15:17:09 2026 error -15 reading relation 187357533 Thu Jul 30 15:17:09 2026 error -9 reading relation 187358478 Thu Jul 30 15:17:10 2026 error -15 reading relation 187376218 Thu Jul 30 15:17:15 2026 error -15 reading relation 188047062 Thu Jul 30 15:17:33 2026 error -9 reading relation 190304458 Thu Jul 30 15:17:34 2026 error -15 reading relation 190456198 Thu Jul 30 15:17:39 2026 skipped 97 relations with composite factors Thu Jul 30 15:17:39 2026 found 39500958 hash collisions in 191085469 relations Thu Jul 30 15:18:06 2026 added 122219 free relations Thu Jul 30 15:18:06 2026 commencing duplicate removal, pass 2 Thu Jul 30 15:20:56 2026 found 42376912 duplicates and 148830776 unique relations Thu Jul 30 15:20:56 2026 memory use: 1321.5 MB Thu Jul 30 15:20:56 2026 reading ideals above 112918528 Thu Jul 30 15:20:56 2026 commencing singleton removal, initial pass Thu Jul 30 15:36:38 2026 memory use: 3012.0 MB Thu Jul 30 15:36:38 2026 reading all ideals from disk Thu Jul 30 15:36:43 2026 memory use: 2549.3 MB Thu Jul 30 15:36:52 2026 commencing in-memory singleton removal Thu Jul 30 15:37:01 2026 begin with 148830776 relations and 117467700 unique ideals Thu Jul 30 15:38:17 2026 reduce to 101303729 relations and 65746683 ideals in 12 passes Thu Jul 30 15:38:17 2026 max relations containing the same ideal: 44 Thu Jul 30 15:38:26 2026 reading ideals above 720000 Thu Jul 30 15:38:26 2026 commencing singleton removal, initial pass Thu Jul 30 15:52:58 2026 memory use: 1506.0 MB Thu Jul 30 15:52:58 2026 reading all ideals from disk Thu Jul 30 15:53:06 2026 memory use: 3885.1 MB Thu Jul 30 15:53:25 2026 keeping 78148107 ideals with weight <= 200, target excess is 514776 Thu Jul 30 15:53:41 2026 commencing in-memory singleton removal Thu Jul 30 15:53:56 2026 begin with 101303730 relations and 78148107 unique ideals Thu Jul 30 15:55:10 2026 reduce to 101293937 relations and 78138314 ideals in 6 passes Thu Jul 30 15:55:10 2026 max relations containing the same ideal: 200 Thu Jul 30 15:56:17 2026 removing 8631743 relations and 6631743 ideals in 2000000 cliques Thu Jul 30 15:56:20 2026 commencing in-memory singleton removal Thu Jul 30 15:56:34 2026 begin with 92662194 relations and 78138314 unique ideals Thu Jul 30 15:57:52 2026 reduce to 92111060 relations and 70942272 ideals in 7 passes Thu Jul 30 15:57:52 2026 max relations containing the same ideal: 196 Thu Jul 30 15:58:52 2026 removing 6833741 relations and 4833741 ideals in 2000000 cliques Thu Jul 30 15:58:55 2026 commencing in-memory singleton removal Thu Jul 30 15:59:08 2026 begin with 85277319 relations and 70942272 unique ideals Thu Jul 30 16:00:18 2026 reduce to 84886310 relations and 65708981 ideals in 7 passes Thu Jul 30 16:00:18 2026 max relations containing the same ideal: 188 Thu Jul 30 16:01:15 2026 removing 6352059 relations and 4352059 ideals in 2000000 cliques Thu Jul 30 16:01:18 2026 commencing in-memory singleton removal Thu Jul 30 16:01:30 2026 begin with 78534251 relations and 65708981 unique ideals Thu Jul 30 16:02:26 2026 reduce to 78179373 relations and 60994348 ideals in 6 passes Thu Jul 30 16:02:26 2026 max relations containing the same ideal: 179 Thu Jul 30 16:03:19 2026 removing 6114989 relations and 4114989 ideals in 2000000 cliques Thu Jul 30 16:03:21 2026 commencing in-memory singleton removal Thu Jul 30 16:03:33 2026 begin with 72064384 relations and 60994348 unique ideals Thu Jul 30 16:04:30 2026 reduce to 71719002 relations and 56526124 ideals in 7 passes Thu Jul 30 16:04:30 2026 max relations containing the same ideal: 170 Thu Jul 30 16:05:13 2026 removing 5978085 relations and 3978085 ideals in 2000000 cliques Thu Jul 30 16:05:15 2026 commencing in-memory singleton removal Thu Jul 30 16:05:24 2026 begin with 65740917 relations and 56526124 unique ideals Thu Jul 30 16:06:17 2026 reduce to 65391097 relations and 52189431 ideals in 7 passes Thu Jul 30 16:06:17 2026 max relations containing the same ideal: 160 Thu Jul 30 16:07:03 2026 removing 5904014 relations and 3904014 ideals in 2000000 cliques Thu Jul 30 16:07:05 2026 commencing in-memory singleton removal Thu Jul 30 16:07:12 2026 begin with 59487083 relations and 52189431 unique ideals Thu Jul 30 16:08:00 2026 reduce to 59120504 relations and 47908992 ideals in 7 passes Thu Jul 30 16:08:00 2026 max relations containing the same ideal: 151 Thu Jul 30 16:08:36 2026 removing 5862117 relations and 3862117 ideals in 2000000 cliques Thu Jul 30 16:08:38 2026 commencing in-memory singleton removal Thu Jul 30 16:08:45 2026 begin with 53258387 relations and 47908992 unique ideals Thu Jul 30 16:09:28 2026 reduce to 52863874 relations and 43640744 ideals in 7 passes Thu Jul 30 16:09:28 2026 max relations containing the same ideal: 139 Thu Jul 30 16:10:04 2026 removing 5856324 relations and 3856324 ideals in 2000000 cliques Thu Jul 30 16:10:06 2026 commencing in-memory singleton removal Thu Jul 30 16:10:13 2026 begin with 47007550 relations and 43640744 unique ideals Thu Jul 30 16:10:52 2026 reduce to 46571445 relations and 39334180 ideals in 7 passes Thu Jul 30 16:10:52 2026 max relations containing the same ideal: 128 Thu Jul 30 16:11:26 2026 removing 5878510 relations and 3878510 ideals in 2000000 cliques Thu Jul 30 16:11:27 2026 commencing in-memory singleton removal Thu Jul 30 16:11:32 2026 begin with 40692935 relations and 39334180 unique ideals Thu Jul 30 16:12:04 2026 reduce to 40196070 relations and 34940801 ideals in 7 passes Thu Jul 30 16:12:04 2026 max relations containing the same ideal: 117 Thu Jul 30 16:12:33 2026 removing 5928000 relations and 3928000 ideals in 2000000 cliques Thu Jul 30 16:12:35 2026 commencing in-memory singleton removal Thu Jul 30 16:12:40 2026 begin with 34268070 relations and 34940801 unique ideals Thu Jul 30 16:13:11 2026 reduce to 33682211 relations and 30402309 ideals in 8 passes Thu Jul 30 16:13:11 2026 max relations containing the same ideal: 101 Thu Jul 30 16:13:36 2026 removing 6004012 relations and 4004013 ideals in 2000000 cliques Thu Jul 30 16:13:38 2026 commencing in-memory singleton removal Thu Jul 30 16:13:42 2026 begin with 27678199 relations and 30402309 unique ideals Thu Jul 30 16:14:06 2026 reduce to 26953524 relations and 25637306 ideals in 8 passes Thu Jul 30 16:14:06 2026 max relations containing the same ideal: 88 Thu Jul 30 16:14:28 2026 removing 2698401 relations and 1979324 ideals in 719077 cliques Thu Jul 30 16:14:30 2026 commencing in-memory singleton removal Thu Jul 30 16:14:32 2026 begin with 24255123 relations and 25637306 unique ideals Thu Jul 30 16:14:48 2026 reduce to 24054475 relations and 23452677 ideals in 7 passes Thu Jul 30 16:14:48 2026 max relations containing the same ideal: 83 Thu Jul 30 16:15:07 2026 relations with 0 large ideals: 1935 Thu Jul 30 16:15:07 2026 relations with 1 large ideals: 6556 Thu Jul 30 16:15:07 2026 relations with 2 large ideals: 102493 Thu Jul 30 16:15:07 2026 relations with 3 large ideals: 682281 Thu Jul 30 16:15:07 2026 relations with 4 large ideals: 2421849 Thu Jul 30 16:15:08 2026 relations with 5 large ideals: 5065500 Thu Jul 30 16:15:08 2026 relations with 6 large ideals: 6630670 Thu Jul 30 16:15:08 2026 relations with 7+ large ideals: 9143191 Thu Jul 30 16:15:08 2026 commencing 2-way merge Thu Jul 30 16:15:29 2026 reduce to 15822621 relation sets and 15220823 unique ideals Thu Jul 30 16:15:29 2026 commencing full merge Thu Jul 30 16:23:57 2026 memory use: 1953.7 MB Thu Jul 30 16:24:01 2026 found 7155420 cycles, need 7111023 Thu Jul 30 16:24:01 2026 weight of 7111023 cycles is about 853343201 (120.00/cycle) Thu Jul 30 16:24:01 2026 distribution of cycle lengths: Thu Jul 30 16:24:01 2026 1 relations: 244022 Thu Jul 30 16:24:01 2026 2 relations: 415021 Thu Jul 30 16:24:01 2026 3 relations: 503010 Thu Jul 30 16:24:01 2026 4 relations: 525992 Thu Jul 30 16:24:01 2026 5 relations: 547418 Thu Jul 30 16:24:01 2026 6 relations: 547157 Thu Jul 30 16:24:01 2026 7 relations: 542479 Thu Jul 30 16:24:01 2026 8 relations: 517951 Thu Jul 30 16:24:01 2026 9 relations: 485005 Thu Jul 30 16:24:01 2026 10+ relations: 2782968 Thu Jul 30 16:24:01 2026 heaviest cycle: 28 relations Thu Jul 30 16:24:09 2026 commencing cycle optimization Thu Jul 30 16:24:26 2026 start with 62195259 relations Thu Jul 30 16:28:06 2026 pruned 3032875 relations Thu Jul 30 16:28:06 2026 memory use: 1638.2 MB Thu Jul 30 16:28:06 2026 distribution of cycle lengths: Thu Jul 30 16:28:06 2026 1 relations: 244022 Thu Jul 30 16:28:06 2026 2 relations: 427043 Thu Jul 30 16:28:06 2026 3 relations: 526651 Thu Jul 30 16:28:06 2026 4 relations: 550317 Thu Jul 30 16:28:06 2026 5 relations: 577775 Thu Jul 30 16:28:06 2026 6 relations: 576482 Thu Jul 30 16:28:06 2026 7 relations: 574042 Thu Jul 30 16:28:06 2026 8 relations: 545378 Thu Jul 30 16:28:06 2026 9 relations: 509028 Thu Jul 30 16:28:06 2026 10+ relations: 2580285 Thu Jul 30 16:28:06 2026 heaviest cycle: 28 relations Thu Jul 30 16:28:22 2026 RelProcTime: 5786 Thu Jul 30 16:28:22 2026 Thu Jul 30 16:28:22 2026 commencing linear algebra Thu Jul 30 16:28:24 2026 read 7111023 cycles Thu Jul 30 16:28:44 2026 cycles contain 23719540 unique relations Thu Jul 30 16:31:17 2026 read 23719540 relations Thu Jul 30 16:32:24 2026 using 20 quadratic characters above 4294917295 Thu Jul 30 16:34:14 2026 building initial matrix Thu Jul 30 16:40:53 2026 memory use: 3286.1 MB Thu Jul 30 16:41:02 2026 read 7111023 cycles Thu Jul 30 16:41:03 2026 matrix is 7110846 x 7111023 (3344.1 MB) with weight 1026052872 (144.29/col) Thu Jul 30 16:41:03 2026 sparse part has weight 791298008 (111.28/col) Thu Jul 30 16:42:56 2026 filtering completed in 2 passes Thu Jul 30 16:42:58 2026 matrix is 7110696 x 7110873 (3344.1 MB) with weight 1026045998 (144.29/col) Thu Jul 30 16:42:58 2026 sparse part has weight 791296184 (111.28/col) Thu Jul 30 16:43:26 2026 matrix starts at (0, 0) Thu Jul 30 16:43:28 2026 matrix is 7110696 x 7110873 (3344.1 MB) with weight 1026045998 (144.29/col) Thu Jul 30 16:43:28 2026 sparse part has weight 791296184 (111.28/col) Thu Jul 30 16:43:28 2026 saving the first 48 matrix rows for later Thu Jul 30 16:43:30 2026 matrix includes 64 packed rows Thu Jul 30 16:43:31 2026 matrix is 7110648 x 7110873 (3258.9 MB) with weight 877507217 (123.40/col) Thu Jul 30 16:43:31 2026 sparse part has weight 783201265 (110.14/col) Thu Jul 30 16:43:31 2026 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Thu Jul 30 16:44:12 2026 commencing Lanczos iteration (10 threads) Thu Jul 30 16:44:12 2026 memory use: 2719.5 MB Thu Jul 30 16:44:41 2026 linear algebra at 0.0%, ETA 36h21m Thu Jul 30 16:44:50 2026 checkpointing every 200000 dimensions Sat Aug 01 04:45:23 2026 lanczos halted after 112452 iterations (dim = 7110647) Sat Aug 01 04:45:31 2026 recovered 28 nontrivial dependencies Sat Aug 01 04:45:35 2026 BLanczosTime: 130633 Sat Aug 01 04:45:35 2026 Sat Aug 01 04:45:35 2026 commencing square root phase Sat Aug 01 04:45:35 2026 handling dependencies 1 to 64 Sat Aug 01 04:45:35 2026 reading relations for dependency 1 Sat Aug 01 04:45:37 2026 read 3554992 cycles Sat Aug 01 04:45:47 2026 cycles contain 11862044 unique relations Sat Aug 01 04:47:37 2026 read 11862044 relations Sat Aug 01 04:49:01 2026 multiplying 11862044 relations Sat Aug 01 05:04:01 2026 multiply complete, coefficients have about 730.56 million bits Sat Aug 01 05:04:07 2026 initial square root is modulo 3582559 Sat Aug 01 05:21:50 2026 GCD is 1, no factor found Sat Aug 01 05:21:50 2026 reading relations for dependency 2 Sat Aug 01 05:21:53 2026 read 3557510 cycles Sat Aug 01 05:22:01 2026 cycles contain 11864748 unique relations Sat Aug 01 05:23:44 2026 read 11864748 relations Sat Aug 01 05:25:03 2026 multiplying 11864748 relations Sat Aug 01 05:39:45 2026 multiply complete, coefficients have about 730.73 million bits Sat Aug 01 05:39:49 2026 initial square root is modulo 3595589 Sat Aug 01 05:57:31 2026 GCD is N, no factor found Sat Aug 01 05:57:31 2026 reading relations for dependency 3 Sat Aug 01 05:57:33 2026 read 3554250 cycles Sat Aug 01 05:57:41 2026 cycles contain 11860112 unique relations Sat Aug 01 05:59:26 2026 read 11860112 relations Sat Aug 01 06:00:48 2026 multiplying 11860112 relations Sat Aug 01 06:15:25 2026 multiply complete, coefficients have about 730.44 million bits Sat Aug 01 06:15:30 2026 initial square root is modulo 3574037 Sat Aug 01 06:33:14 2026 sqrtTime: 6459 Sat Aug 01 06:33:14 2026 p74 factor: 31022628547706437670470701700841926150621772553532089778558830898139774843 Sat Aug 01 06:33:14 2026 p94 factor: 1463817315628323732422343119913374170466066106134282458950647867018557510527156241837731987347 Sat Aug 01 06:33:14 2026 elapsed time 39:41:19