Thu Aug 20 09:17:48 2026 Thu Aug 20 09:17:48 2026 Thu Aug 20 09:17:48 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 09:17:48 2026 random seeds: ea1cf57e c4294b49 Thu Aug 20 09:17:48 2026 Using 8 OpenMP threads Thu Aug 20 09:17:48 2026 factoring 84200759289611941482395309129366042279981656947713806318435276127954834050514217083085655040854138328430955340094712580115751882259278093931287413683803047530707085495786510735849 (179 digits) Thu Aug 20 09:17:48 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 09:17:48 2026 commencing number field sieve (179-digit input) Thu Aug 20 09:17:48 2026 R0: -55064837378753992682327089361157517 Thu Aug 20 09:17:48 2026 R1: 11170350327933266796091 Thu Aug 20 09:17:48 2026 A0: -36485677835455295075029218326454643020400 Thu Aug 20 09:17:48 2026 A1: -2247130651311749760055701480505884 Thu Aug 20 09:17:48 2026 A2: 1880611746350168687353973424 Thu Aug 20 09:17:48 2026 A3: -186877466953327411579 Thu Aug 20 09:17:48 2026 A4: -5676958583142 Thu Aug 20 09:17:48 2026 A5: 1829520 Thu Aug 20 09:17:48 2026 skew 1.00, size 2.270e-17, alpha -6.192, combined = 6.512e-16 rroots = 3 Thu Aug 20 09:17:48 2026 Thu Aug 20 09:17:48 2026 commencing relation filtering Thu Aug 20 09:17:48 2026 setting 3 target densities:Thu Aug 20 09:17:48 2026 90Thu Aug 20 09:17:48 2026 110Thu Aug 20 09:17:48 2026 130Thu Aug 20 09:17:48 2026 Thu Aug 20 09:17:48 2026 estimated available RAM is 78540.1 MB Thu Aug 20 09:17:48 2026 commencing duplicate removal, pass 1 Thu Aug 20 09:26:56 2026 found 66618881 hash collisions in 347027408 relations Thu Aug 20 09:27:10 2026 added 121561 free relations Thu Aug 20 09:27:10 2026 commencing duplicate removal, pass 2 Thu Aug 20 09:29:39 2026 found 69922067 duplicates and 277226902 unique relations Thu Aug 20 09:29:39 2026 memory use: 1705.5 MB Thu Aug 20 09:29:40 2026 reading ideals above 150798336 Thu Aug 20 09:29:40 2026 commencing singleton removal, initial pass Thu Aug 20 09:35:06 2026 memory use: 6024.0 MB Thu Aug 20 09:35:06 2026 reading all ideals from disk Thu Aug 20 09:35:08 2026 memory use: 7271.4 MB Thu Aug 20 09:35:37 2026 commencing in-memory singleton removal Thu Aug 20 09:35:39 2026 begin with 277226902 relations and 235193664 unique ideals Thu Aug 20 09:35:52 2026 reduce to 181032110 relations and 129800445 ideals in 13 passes Thu Aug 20 09:35:52 2026 max relations containing the same ideal: 32 Thu Aug 20 09:35:56 2026 reading ideals above 720000 Thu Aug 20 09:35:56 2026 commencing singleton removal, initial pass Thu Aug 20 09:42:38 2026 memory use: 3012.0 MB Thu Aug 20 09:42:39 2026 reading all ideals from disk Thu Aug 20 09:42:54 2026 memory use: 8768.7 MB Thu Aug 20 09:43:24 2026 keeping 145831914 ideals with weight <= 200, target excess is 938414 Thu Aug 20 09:43:41 2026 commencing in-memory singleton removal Thu Aug 20 09:43:41 2026 begin with 181032110 relations and 145831914 unique ideals Thu Aug 20 09:43:52 2026 reduce to 181029795 relations and 145829599 ideals in 6 passes Thu Aug 20 09:43:52 2026 max relations containing the same ideal: 200 Thu Aug 20 09:44:49 2026 removing 11389631 relations and 9389631 ideals in 2000000 cliques Thu Aug 20 09:44:53 2026 commencing in-memory singleton removal Thu Aug 20 09:44:55 2026 begin with 169640164 relations and 145829599 unique ideals Thu Aug 20 09:45:07 2026 reduce to 169097604 relations and 135889666 ideals in 8 passes Thu Aug 20 09:45:07 2026 max relations containing the same ideal: 198 Thu Aug 20 09:45:45 2026 removing 8736693 relations and 6736693 ideals in 2000000 cliques Thu Aug 20 09:45:48 2026 commencing in-memory singleton removal Thu Aug 20 09:45:51 2026 begin with 160360911 relations and 135889666 unique ideals Thu Aug 20 09:46:00 2026 reduce to 159995625 relations and 128783218 ideals in 7 passes Thu Aug 20 09:46:00 2026 max relations containing the same ideal: 193 Thu Aug 20 09:46:45 2026 removing 7929423 relations and 5929423 ideals in 2000000 cliques Thu Aug 20 09:46:49 2026 commencing in-memory singleton removal Thu Aug 20 09:46:51 2026 begin with 152066202 relations and 128783218 unique ideals Thu Aug 20 09:47:02 2026 reduce to 151744601 relations and 122528222 ideals in 7 passes Thu Aug 20 09:47:02 2026 max relations containing the same ideal: 189 Thu Aug 20 09:47:42 2026 removing 7507242 relations and 5507242 ideals in 2000000 cliques Thu Aug 20 09:47:45 2026 commencing in-memory singleton removal Thu Aug 20 09:47:47 2026 begin with 144237359 relations and 122528222 unique ideals Thu Aug 20 09:47:57 2026 reduce to 143933209 relations and 116713057 ideals in 7 passes Thu Aug 20 09:47:57 2026 max relations containing the same ideal: 181 Thu Aug 20 09:48:34 2026 removing 7246404 relations and 5246404 ideals in 2000000 cliques Thu Aug 20 09:48:37 2026 commencing in-memory singleton removal Thu Aug 20 09:48:39 2026 begin with 136686805 relations and 116713057 unique ideals Thu Aug 20 09:48:45 2026 reduce to 136391524 relations and 111167581 ideals in 7 passes Thu Aug 20 09:48:45 2026 max relations containing the same ideal: 176 Thu Aug 20 09:49:19 2026 removing 7073532 relations and 5073532 ideals in 2000000 cliques Thu Aug 20 09:49:22 2026 commencing in-memory singleton removal Thu Aug 20 09:49:23 2026 begin with 129317992 relations and 111167581 unique ideals Thu Aug 20 09:49:31 2026 reduce to 129022954 relations and 105794915 ideals in 7 passes Thu Aug 20 09:49:31 2026 max relations containing the same ideal: 171 Thu Aug 20 09:50:02 2026 removing 6958380 relations and 4958380 ideals in 2000000 cliques Thu Aug 20 09:50:04 2026 commencing in-memory singleton removal Thu Aug 20 09:50:06 2026 begin with 122064574 relations and 105794915 unique ideals Thu Aug 20 09:50:10 2026 reduce to 121765526 relations and 100533268 ideals in 7 passes Thu Aug 20 09:50:10 2026 max relations containing the same ideal: 162 Thu Aug 20 09:50:40 2026 removing 6877261 relations and 4877261 ideals in 2000000 cliques Thu Aug 20 09:50:43 2026 commencing in-memory singleton removal Thu Aug 20 09:50:44 2026 begin with 114888265 relations and 100533268 unique ideals Thu Aug 20 09:50:50 2026 reduce to 114580703 relations and 95343886 ideals in 7 passes Thu Aug 20 09:50:50 2026 max relations containing the same ideal: 159 Thu Aug 20 09:51:18 2026 removing 6831977 relations and 4831977 ideals in 2000000 cliques Thu Aug 20 09:51:20 2026 commencing in-memory singleton removal Thu Aug 20 09:51:22 2026 begin with 107748726 relations and 95343886 unique ideals Thu Aug 20 09:51:29 2026 reduce to 107428959 relations and 90187216 ideals in 7 passes Thu Aug 20 09:51:29 2026 max relations containing the same ideal: 153 Thu Aug 20 09:51:56 2026 removing 6811587 relations and 4811587 ideals in 2000000 cliques Thu Aug 20 09:51:58 2026 commencing in-memory singleton removal Thu Aug 20 09:51:59 2026 begin with 100617372 relations and 90187216 unique ideals Thu Aug 20 09:52:06 2026 reduce to 100280228 relations and 85032786 ideals in 7 passes Thu Aug 20 09:52:06 2026 max relations containing the same ideal: 147 Thu Aug 20 09:52:31 2026 removing 6812985 relations and 4812985 ideals in 2000000 cliques Thu Aug 20 09:52:33 2026 commencing in-memory singleton removal Thu Aug 20 09:52:34 2026 begin with 93467243 relations and 85032786 unique ideals Thu Aug 20 09:52:38 2026 reduce to 93107676 relations and 79853858 ideals in 8 passes Thu Aug 20 09:52:38 2026 max relations containing the same ideal: 136 Thu Aug 20 09:53:05 2026 removing 6835030 relations and 4835030 ideals in 2000000 cliques Thu Aug 20 09:53:07 2026 commencing in-memory singleton removal Thu Aug 20 09:53:05 2026 begin with 86272646 relations and 79853858 unique ideals Thu Aug 20 09:53:11 2026 reduce to 85884320 relations and 74623149 ideals in 7 passes Thu Aug 20 09:53:11 2026 max relations containing the same ideal: 131 Thu Aug 20 09:53:37 2026 removing 6877918 relations and 4877918 ideals in 2000000 cliques Thu Aug 20 09:53:37 2026 commencing in-memory singleton removal Thu Aug 20 09:53:37 2026 begin with 79006402 relations and 74623149 unique ideals Thu Aug 20 09:53:42 2026 reduce to 78580094 relations and 69310276 ideals in 7 passes Thu Aug 20 09:53:42 2026 max relations containing the same ideal: 125 Thu Aug 20 09:54:05 2026 removing 6950807 relations and 4950807 ideals in 2000000 cliques Thu Aug 20 09:54:08 2026 commencing in-memory singleton removal Thu Aug 20 09:54:08 2026 begin with 71629287 relations and 69310276 unique ideals Thu Aug 20 09:54:13 2026 reduce to 71152339 relations and 63872072 ideals in 8 passes Thu Aug 20 09:54:13 2026 max relations containing the same ideal: 117 Thu Aug 20 09:54:35 2026 removing 7045983 relations and 5045983 ideals in 2000000 cliques Thu Aug 20 09:54:36 2026 commencing in-memory singleton removal Thu Aug 20 09:54:37 2026 begin with 64106356 relations and 63872072 unique ideals Thu Aug 20 09:54:38 2026 reduce to 63561477 relations and 58267959 ideals in 8 passes Thu Aug 20 09:54:38 2026 max relations containing the same ideal: 109 Thu Aug 20 09:54:58 2026 removing 7180612 relations and 5180612 ideals in 2000000 cliques Thu Aug 20 09:54:59 2026 commencing in-memory singleton removal Thu Aug 20 09:55:00 2026 begin with 56380865 relations and 58267959 unique ideals Thu Aug 20 09:55:03 2026 reduce to 55744232 relations and 52433968 ideals in 8 passes Thu Aug 20 09:55:03 2026 max relations containing the same ideal: 97 Thu Aug 20 09:55:18 2026 removing 7355134 relations and 5355134 ideals in 2000000 cliques Thu Aug 20 09:55:20 2026 commencing in-memory singleton removal Thu Aug 20 09:55:20 2026 begin with 48389098 relations and 52433968 unique ideals Thu Aug 20 09:55:24 2026 reduce to 47614951 relations and 46281209 ideals in 10 passes Thu Aug 20 09:55:24 2026 max relations containing the same ideal: 86 Thu Aug 20 09:55:37 2026 removing 1412583 relations and 1167402 ideals in 245181 cliques Thu Aug 20 09:55:38 2026 commencing in-memory singleton removal Thu Aug 20 09:55:39 2026 begin with 46202368 relations and 46281209 unique ideals Thu Aug 20 09:55:41 2026 reduce to 46173973 relations and 45085270 ideals in 6 passes Thu Aug 20 09:55:41 2026 max relations containing the same ideal: 83 Thu Aug 20 09:55:55 2026 trying target density 90 Thu Aug 20 09:55:59 2026 relations with 0 large ideals: 3387 Thu Aug 20 09:55:59 2026 relations with 1 large ideals: 9822 Thu Aug 20 09:55:59 2026 relations with 2 large ideals: 161691 Thu Aug 20 09:55:59 2026 relations with 3 large ideals: 1123599 Thu Aug 20 09:55:59 2026 relations with 4 large ideals: 4164186 Thu Aug 20 09:55:59 2026 relations with 5 large ideals: 9178157 Thu Aug 20 09:55:59 2026 relations with 6 large ideals: 12617988 Thu Aug 20 09:55:59 2026 relations with 7+ large ideals: 18915143 Thu Aug 20 09:55:59 2026 commencing 2-way merge Thu Aug 20 09:56:19 2026 reduce to 28872192 relation sets and 27783489 unique ideals Thu Aug 20 09:56:19 2026 commencing full merge Thu Aug 20 10:01:53 2026 memory use: 3429.6 MB Thu Aug 20 10:01:55 2026 found 14422634 cycles, need 14275689 Thu Aug 20 10:01:59 2026 weight of 14275689 cycles is about 1285194100 (90.03/cycle) Thu Aug 20 10:01:59 2026 distribution of cycle lengths: Thu Aug 20 10:01:59 2026 1 relations: 1462036 Thu Aug 20 10:01:59 2026 2 relations: 1369666 Thu Aug 20 10:01:59 2026 3 relations: 1397422 Thu Aug 20 10:01:59 2026 4 relations: 1372030 Thu Aug 20 10:01:59 2026 5 relations: 1330073 Thu Aug 20 10:01:59 2026 6 relations: 1272471 Thu Aug 20 10:01:59 2026 7 relations: 1166693 Thu Aug 20 10:01:59 2026 8 relations: 1033127 Thu Aug 20 10:01:59 2026 9 relations: 887629 Thu Aug 20 10:01:59 2026 10+ relations: 2984542 Thu Aug 20 10:01:59 2026 heaviest cycle: 22 relations Thu Aug 20 10:02:01 2026 commencing cycle optimization Thu Aug 20 10:02:18 2026 start with 89543656 relations Thu Aug 20 10:03:54 2026 pruned 2784706 relations Thu Aug 20 10:03:56 2026 memory use: 2810.8 MB Thu Aug 20 10:03:56 2026 distribution of cycle lengths: Thu Aug 20 10:03:56 2026 1 relations: 1462036 Thu Aug 20 10:03:56 2026 2 relations: 1403209 Thu Aug 20 10:03:56 2026 3 relations: 1451110 Thu Aug 20 10:03:56 2026 4 relations: 1415408 Thu Aug 20 10:03:56 2026 5 relations: 1380061 Thu Aug 20 10:03:56 2026 6 relations: 1311578 Thu Aug 20 10:03:56 2026 7 relations: 1200910 Thu Aug 20 10:03:56 2026 8 relations: 1051710 Thu Aug 20 10:03:56 2026 9 relations: 893325 Thu Aug 20 10:03:56 2026 10+ relations: 2706342 Thu Aug 20 10:03:56 2026 heaviest cycle: 21 relations Thu Aug 20 10:04:13 2026 trying target density 110 Thu Aug 20 10:04:16 2026 relations with 0 large ideals: 3387 Thu Aug 20 10:04:16 2026 relations with 1 large ideals: 9822 Thu Aug 20 10:04:16 2026 relations with 2 large ideals: 161691 Thu Aug 20 10:04:16 2026 relations with 3 large ideals: 1123599 Thu Aug 20 10:04:16 2026 relations with 4 large ideals: 4164186 Thu Aug 20 10:04:16 2026 relations with 5 large ideals: 9178157 Thu Aug 20 10:04:16 2026 relations with 6 large ideals: 12617988 Thu Aug 20 10:04:16 2026 relations with 7+ large ideals: 18915143 Thu Aug 20 10:04:16 2026 commencing 2-way merge Thu Aug 20 10:04:34 2026 reduce to 28872192 relation sets and 27783489 unique ideals Thu Aug 20 10:04:34 2026 commencing full merge Thu Aug 20 10:11:20 2026 memory use: 3545.5 MB Thu Aug 20 10:11:22 2026 found 13474856 cycles, need 13351689 Thu Aug 20 10:11:26 2026 weight of 13351689 cycles is about 1469220492 (110.04/cycle) Thu Aug 20 10:11:26 2026 distribution of cycle lengths: Thu Aug 20 10:11:26 2026 1 relations: 1017881 Thu Aug 20 10:11:26 2026 2 relations: 1033443 Thu Aug 20 10:11:26 2026 3 relations: 1079389 Thu Aug 20 10:11:26 2026 4 relations: 1059593 Thu Aug 20 10:11:26 2026 5 relations: 1055262 Thu Aug 20 10:11:26 2026 6 relations: 1040851 Thu Aug 20 10:11:26 2026 7 relations: 992782 Thu Aug 20 10:11:26 2026 8 relations: 936831 Thu Aug 20 10:11:26 2026 9 relations: 858261 Thu Aug 20 10:11:26 2026 10+ relations: 4277396 Thu Aug 20 10:11:26 2026 heaviest cycle: 26 relations Thu Aug 20 10:11:25 2026 commencing cycle optimization Thu Aug 20 10:11:47 2026 start with 102051712 relations Thu Aug 20 10:14:03 2026 pruned 3962479 relations Thu Aug 20 10:14:04 2026 memory use: 2941.8 MB Thu Aug 20 10:14:04 2026 distribution of cycle lengths: Thu Aug 20 10:14:04 2026 1 relations: 1017881 Thu Aug 20 10:14:04 2026 2 relations: 1060175 Thu Aug 20 10:14:04 2026 3 relations: 1122806 Thu Aug 20 10:14:04 2026 4 relations: 1098384 Thu Aug 20 10:14:04 2026 5 relations: 1102227 Thu Aug 20 10:14:04 2026 6 relations: 1082977 Thu Aug 20 10:14:04 2026 7 relations: 1036098 Thu Aug 20 10:14:04 2026 8 relations: 971605 Thu Aug 20 10:14:04 2026 9 relations: 884854 Thu Aug 20 10:14:04 2026 10+ relations: 3974682 Thu Aug 20 10:14:04 2026 heaviest cycle: 25 relations Thu Aug 20 10:14:23 2026 trying target density 130 Thu Aug 20 10:14:24 2026 relations with 0 large ideals: 3387 Thu Aug 20 10:14:24 2026 relations with 1 large ideals: 9822 Thu Aug 20 10:14:24 2026 relations with 2 large ideals: 161691 Thu Aug 20 10:14:24 2026 relations with 3 large ideals: 1123599 Thu Aug 20 10:14:24 2026 relations with 4 large ideals: 4164186 Thu Aug 20 10:14:24 2026 relations with 5 large ideals: 9178157 Thu Aug 20 10:14:24 2026 relations with 6 large ideals: 12617988 Thu Aug 20 10:14:24 2026 relations with 7+ large ideals: 18915143 Thu Aug 20 10:14:24 2026 commencing 2-way merge Thu Aug 20 10:14:43 2026 reduce to 28872192 relation sets and 27783489 unique ideals Thu Aug 20 10:14:43 2026 commencing full merge Thu Aug 20 10:22:52 2026 memory use: 3622.3 MB Thu Aug 20 10:22:52 2026 found 12722807 cycles, need 12679689 Thu Aug 20 10:22:55 2026 weight of 12679689 cycles is about 1648873195 (130.04/cycle) Thu Aug 20 10:22:55 2026 distribution of cycle lengths: Thu Aug 20 10:22:55 2026 1 relations: 713510 Thu Aug 20 10:22:55 2026 2 relations: 817292 Thu Aug 20 10:22:55 2026 3 relations: 867053 Thu Aug 20 10:22:55 2026 4 relations: 865958 Thu Aug 20 10:22:55 2026 5 relations: 867543 Thu Aug 20 10:22:55 2026 6 relations: 862372 Thu Aug 20 10:22:55 2026 7 relations: 854948 Thu Aug 20 10:22:55 2026 8 relations: 818474 Thu Aug 20 10:22:55 2026 9 relations: 780564 Thu Aug 20 10:22:55 2026 10+ relations: 5231975 Thu Aug 20 10:22:55 2026 heaviest cycle: 28 relations Thu Aug 20 10:22:58 2026 commencing cycle optimization Thu Aug 20 10:23:22 2026 start with 114086065 relations Thu Aug 20 10:27:07 2026 pruned 5187196 relations Thu Aug 20 10:27:07 2026 memory use: 3065.3 MB Thu Aug 20 10:27:07 2026 distribution of cycle lengths: Thu Aug 20 10:27:07 2026 1 relations: 713510 Thu Aug 20 10:27:07 2026 2 relations: 838777 Thu Aug 20 10:27:07 2026 3 relations: 902915 Thu Aug 20 10:27:07 2026 4 relations: 899989 Thu Aug 20 10:27:07 2026 5 relations: 909637 Thu Aug 20 10:27:07 2026 6 relations: 902838 Thu Aug 20 10:27:07 2026 7 relations: 897759 Thu Aug 20 10:27:07 2026 8 relations: 858201 Thu Aug 20 10:27:07 2026 9 relations: 817619 Thu Aug 20 10:27:07 2026 10+ relations: 4938444 Thu Aug 20 10:27:07 2026 heaviest cycle: 28 relations Thu Aug 20 10:27:34 2026 RelProcTime: 4186 Thu Aug 20 10:27:37 2026 Thu Aug 20 10:27:37 2026 commencing linear algebra Thu Aug 20 10:27:37 2026 using VBITS=256 Thu Aug 20 10:27:37 2026 building matrices for all densities Thu Aug 20 10:27:37 2026 found 3 density files Thu Aug 20 10:27:37 2026 building matrix for density 90 Thu Aug 20 10:27:42 2026 read 14275689 cycles Thu Aug 20 10:28:03 2026 cycles contain 45549088 unique relations Thu Aug 20 10:38:53 2026 read 45549088 relations Thu Aug 20 10:39:05 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 10:39:22 2026 building initial matrix Thu Aug 20 10:45:08 2026 memory use: 6277.9 MB Thu Aug 20 10:45:11 2026 read 14275689 cycles Thu Aug 20 10:45:13 2026 matrix is 14275512 x 14275689 (5266.8 MB) with weight 1599810326 (112.07/col) Thu Aug 20 10:45:13 2026 sparse part has weight 1223630350 (85.71/col) Thu Aug 20 10:46:48 2026 filtering completed in 2 passes Thu Aug 20 10:46:51 2026 matrix is 14273390 x 14273567 (5266.6 MB) with weight 1599733077 (112.08/col) Thu Aug 20 10:46:51 2026 sparse part has weight 1223608967 (85.73/col) Thu Aug 20 10:47:16 2026 building matrix for density 110 Thu Aug 20 10:47:18 2026 read 13351689 cycles Thu Aug 20 10:47:41 2026 cycles contain 45558825 unique relations Thu Aug 20 10:51:37 2026 read 45558825 relations Thu Aug 20 10:51:49 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 10:52:06 2026 building initial matrix Thu Aug 20 10:59:27 2026 memory use: 6262.1 MB Thu Aug 20 10:59:36 2026 read 13351689 cycles Thu Aug 20 10:59:38 2026 matrix is 13351511 x 13351689 (5816.7 MB) with weight 1749513658 (131.03/col) Thu Aug 20 10:59:38 2026 sparse part has weight 1377935809 (103.20/col) Thu Aug 20 11:01:18 2026 filtering completed in 2 passes Thu Aug 20 11:01:21 2026 matrix is 13350513 x 13350691 (5816.6 MB) with weight 1749471169 (131.04/col) Thu Aug 20 11:01:21 2026 sparse part has weight 1377922097 (103.21/col) Thu Aug 20 11:01:56 2026 building matrix for density 130 Thu Aug 20 11:01:56 2026 read 12679689 cycles Thu Aug 20 11:02:14 2026 cycles contain 45556586 unique relations Thu Aug 20 11:03:19 2026 read 45556586 relations Thu Aug 20 11:03:34 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 11:03:52 2026 building initial matrix Thu Aug 20 11:11:44 2026 memory use: 6282.6 MB Thu Aug 20 11:11:52 2026 read 12679689 cycles Thu Aug 20 11:11:53 2026 matrix is 12679512 x 12679689 (6354.3 MB) with weight 1894957660 (149.45/col) Thu Aug 20 11:11:53 2026 sparse part has weight 1526272248 (120.37/col) Thu Aug 20 11:13:43 2026 filtering completed in 2 passes Thu Aug 20 11:13:46 2026 matrix is 12679275 x 12679452 (6354.3 MB) with weight 1894947396 (149.45/col) Thu Aug 20 11:13:46 2026 sparse part has weight 1526269391 (120.37/col) Thu Aug 20 11:14:16 2026 BLanczosTime: 2799 Thu Aug 20 11:14:16 2026 elapsed time 01:56:28 Thu Aug 20 18:53:32 2026 Thu Aug 20 18:53:32 2026 Thu Aug 20 18:53:32 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 18:53:32 2026 random seeds: be2ff34d e4e553c4 Thu Aug 20 18:53:32 2026 factoring 84200759289611941482395309129366042279981656947713806318435276127954834050514217083085655040854138328430955340094712580115751882259278093931287413683803047530707085495786510735849 (179 digits) Thu Aug 20 18:53:32 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 18:53:32 2026 commencing number field sieve (179-digit input) Thu Aug 20 18:53:32 2026 R0: -55064837378753992682327089361157517 Thu Aug 20 18:53:32 2026 R1: 11170350327933266796091 Thu Aug 20 18:53:32 2026 A0: -36485677835455295075029218326454643020400 Thu Aug 20 18:53:32 2026 A1: -2247130651311749760055701480505884 Thu Aug 20 18:53:32 2026 A2: 1880611746350168687353973424 Thu Aug 20 18:53:32 2026 A3: -186877466953327411579 Thu Aug 20 18:53:32 2026 A4: -5676958583142 Thu Aug 20 18:53:32 2026 A5: 1829520 Thu Aug 20 18:53:32 2026 skew 1.00, size 2.270e-17, alpha -6.192, combined = 6.512e-16 rroots = 3 Thu Aug 20 18:53:32 2026 Thu Aug 20 18:53:32 2026 commencing linear algebra Thu Aug 20 18:53:32 2026 using VBITS=256 Thu Aug 20 18:53:32 2026 skipping matrix build Thu Aug 20 18:53:40 2026 matrix starts at (0, 0) Thu Aug 20 18:53:43 2026 matrix is 12679275 x 12679452 (6354.3 MB) with weight 1894947396 (149.45/col) Thu Aug 20 18:53:43 2026 sparse part has weight 1526269391 (120.37/col) Thu Aug 20 18:53:43 2026 saving the first 240 matrix rows for later Thu Aug 20 18:53:47 2026 matrix includes 256 packed rows Thu Aug 20 18:53:52 2026 matrix is 12679035 x 12679452 (5781.0 MB) with weight 1394022592 (109.94/col) Thu Aug 20 18:53:52 2026 sparse part has weight 1312594586 (103.52/col) Thu Aug 20 18:53:52 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Thu Aug 20 18:53:52 2026 selected card has CUDA arch 12.0 Thu Aug 20 18:53:53 2026 computed block_nnz 162825078 (L2 cache 100663296 bytes, average column weight 103.5) Thu Aug 20 18:53:53 2026 nonzeros per matrix block: 256000000 Thu Aug 20 18:56:54 2026 commencing Lanczos iteration Thu Aug 20 18:56:55 2026 memory use: 13690.3 MB Thu Aug 20 18:57:04 2026 linear algebra at 0.2%, ETA 1h 1m Thu Aug 20 18:57:18 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions Thu Aug 20 20:00:40 2026 lanczos halted after 49677 iterations (dim = 12679033) Thu Aug 20 20:02:18 2026 recovered 28 nontrivial dependencies Thu Aug 20 20:02:18 2026 BLanczosTime: 4126 Thu Aug 20 20:02:18 2026 elapsed time 01:08:46 Thu Aug 20 16:11:07 2026 Thu Aug 20 16:11:07 2026 Thu Aug 20 16:11:07 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 16:11:07 2026 random seeds: 5fdc6253 9d20170f Thu Aug 20 16:11:07 2026 Using 14 OpenMP threads Thu Aug 20 16:11:07 2026 factoring 84200759289611941482395309129366042279981656947713806318435276127954834050514217083085655040854138328430955340094712580115751882259278093931287413683803047530707085495786510735849 (179 digits) Thu Aug 20 16:11:07 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 16:11:07 2026 commencing number field sieve (179-digit input) Thu Aug 20 16:11:07 2026 R0: -55064837378753992682327089361157517 Thu Aug 20 16:11:07 2026 R1: 11170350327933266796091 Thu Aug 20 16:11:07 2026 A0: -36485677835455295075029218326454643020400 Thu Aug 20 16:11:07 2026 A1: -2247130651311749760055701480505884 Thu Aug 20 16:11:07 2026 A2: 1880611746350168687353973424 Thu Aug 20 16:11:07 2026 A3: -186877466953327411579 Thu Aug 20 16:11:07 2026 A4: -5676958583142 Thu Aug 20 16:11:07 2026 A5: 1829520 Thu Aug 20 16:11:07 2026 skew 1.00, size 2.270e-17, alpha -6.192, combined = 6.512e-16 rroots = 3 Thu Aug 20 16:11:07 2026 Thu Aug 20 16:11:07 2026 commencing square root phase Thu Aug 20 16:11:07 2026 reading relations for dependency 1 Thu Aug 20 16:11:10 2026 read 6340307 cycles Thu Aug 20 16:11:23 2026 cycles contain 22772732 unique relations Thu Aug 20 16:17:16 2026 read 22772732 relations Thu Aug 20 16:18:14 2026 multiplying 22772732 relations Thu Aug 20 16:20:12 2026 multiply complete, coefficients have about 1328.21 million bits Thu Aug 20 16:20:15 2026 initial square root is modulo 907793 Thu Aug 20 16:24:07 2026 GCD is 1, no factor found Thu Aug 20 16:24:07 2026 reading relations for dependency 2 Thu Aug 20 16:24:08 2026 read 6344207 cycles Thu Aug 20 16:24:16 2026 cycles contain 22790984 unique relations Thu Aug 20 16:27:20 2026 read 22790984 relations Thu Aug 20 16:28:18 2026 multiplying 22790984 relations Thu Aug 20 16:30:16 2026 multiply complete, coefficients have about 1329.27 million bits Thu Aug 20 16:30:18 2026 initial square root is modulo 917789 Thu Aug 20 16:34:08 2026 sqrtTime: 1381 Thu Aug 20 16:34:08 2026 p85 factor: 1013721088186167617483398665641634205702454620831252530009507637380916150802717270939 Thu Aug 20 16:34:08 2026 p95 factor: 83061071009453696781481889262011727531494244357386000194827944607298594235304777979465938303691 Thu Aug 20 16:34:08 2026 elapsed time 00:23:01