Thu Aug 20 18:46:05 2026 Thu Aug 20 18:46:05 2026 Thu Aug 20 18:46:05 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 18:46:05 2026 random seeds: d774ff39 d04ea458 Thu Aug 20 18:46:05 2026 Using 8 OpenMP threads Thu Aug 20 18:46:05 2026 factoring 53041821103337716491083410289781962013436221342624751996199124419802716319476360174083547383072178652263595247049246113664203650383171105108036004322080979187442480195312751121801 (179 digits) Thu Aug 20 18:46:05 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 18:46:05 2026 commencing number field sieve (179-digit input) Thu Aug 20 18:46:05 2026 R0: -50203987703899500796847708777087631 Thu Aug 20 18:46:05 2026 R1: 33675820740803577891551 Thu Aug 20 18:46:05 2026 A0: -126937159154788355666792527285549879435422 Thu Aug 20 18:46:05 2026 A1: 30903758391122110461571619680093981 Thu Aug 20 18:46:05 2026 A2: 11273845161506249943705184680 Thu Aug 20 18:46:05 2026 A3: -888438661727435594779 Thu Aug 20 18:46:05 2026 A4: -117305807718648 Thu Aug 20 18:46:05 2026 A5: 1995840 Thu Aug 20 18:46:05 2026 skew 10845008.16, size 2.625e-17, alpha -7.445, combined = 1.331e-13 rroots = 5 Thu Aug 20 18:46:05 2026 Thu Aug 20 18:46:05 2026 commencing relation filtering Thu Aug 20 18:46:05 2026 setting 3 target densities:Thu Aug 20 18:46:05 2026 90Thu Aug 20 18:46:05 2026 110Thu Aug 20 18:46:05 2026 130Thu Aug 20 18:46:05 2026 Thu Aug 20 18:46:05 2026 estimated available RAM is 78540.1 MB Thu Aug 20 18:46:05 2026 commencing duplicate removal, pass 1 Thu Aug 20 19:53:28 2026 found 61579200 hash collisions in 341766891 relations Thu Aug 20 19:53:40 2026 added 121605 free relations Thu Aug 20 19:53:40 2026 commencing duplicate removal, pass 2 Thu Aug 20 19:55:42 2026 found 63038711 duplicates and 278849785 unique relations Thu Aug 20 19:55:42 2026 memory use: 1705.5 MB Thu Aug 20 19:55:42 2026 reading ideals above 150011904 Thu Aug 20 19:55:42 2026 commencing singleton removal, initial pass Thu Aug 20 20:00:33 2026 memory use: 6024.0 MB Thu Aug 20 20:00:34 2026 reading all ideals from disk Thu Aug 20 20:00:36 2026 memory use: 7321.7 MB Thu Aug 20 20:00:43 2026 commencing in-memory singleton removal Thu Aug 20 20:00:45 2026 begin with 278849785 relations and 235744942 unique ideals Thu Aug 20 20:00:59 2026 reduce to 183175528 relations and 131015134 ideals in 14 passes Thu Aug 20 20:00:59 2026 max relations containing the same ideal: 33 Thu Aug 20 20:01:02 2026 reading ideals above 720000 Thu Aug 20 20:01:03 2026 commencing singleton removal, initial pass Thu Aug 20 20:06:58 2026 memory use: 3012.0 MB Thu Aug 20 20:06:59 2026 reading all ideals from disk Thu Aug 20 20:07:12 2026 memory use: 8882.5 MB Thu Aug 20 20:07:30 2026 keeping 146953840 ideals with weight <= 200, target excess is 948008 Thu Aug 20 20:07:42 2026 commencing in-memory singleton removal Thu Aug 20 20:07:44 2026 begin with 183175528 relations and 146953840 unique ideals Thu Aug 20 20:07:53 2026 reduce to 183173569 relations and 146951881 ideals in 6 passes Thu Aug 20 20:07:53 2026 max relations containing the same ideal: 200 Thu Aug 20 20:08:36 2026 removing 11296467 relations and 9296467 ideals in 2000000 cliques Thu Aug 20 20:08:39 2026 commencing in-memory singleton removal Thu Aug 20 20:08:41 2026 begin with 171877102 relations and 146951881 unique ideals Thu Aug 20 20:08:51 2026 reduce to 171350731 relations and 137121534 ideals in 8 passes Thu Aug 20 20:08:51 2026 max relations containing the same ideal: 199 Thu Aug 20 20:09:30 2026 removing 8672977 relations and 6672977 ideals in 2000000 cliques Thu Aug 20 20:09:33 2026 commencing in-memory singleton removal Thu Aug 20 20:09:35 2026 begin with 162677754 relations and 137121534 unique ideals Thu Aug 20 20:09:43 2026 reduce to 162323833 relations and 130090268 ideals in 7 passes Thu Aug 20 20:09:43 2026 max relations containing the same ideal: 193 Thu Aug 20 20:10:21 2026 removing 7871390 relations and 5871390 ideals in 2000000 cliques Thu Aug 20 20:10:23 2026 commencing in-memory singleton removal Thu Aug 20 20:10:25 2026 begin with 154452443 relations and 130090268 unique ideals Thu Aug 20 20:10:33 2026 reduce to 154139966 relations and 123902665 ideals in 7 passes Thu Aug 20 20:10:33 2026 max relations containing the same ideal: 188 Thu Aug 20 20:11:06 2026 removing 7452804 relations and 5452804 ideals in 2000000 cliques Thu Aug 20 20:11:09 2026 commencing in-memory singleton removal Thu Aug 20 20:11:11 2026 begin with 146687162 relations and 123902665 unique ideals Thu Aug 20 20:11:18 2026 reduce to 146392963 relations and 118152105 ideals in 7 passes Thu Aug 20 20:11:18 2026 max relations containing the same ideal: 183 Thu Aug 20 20:11:49 2026 removing 7193303 relations and 5193303 ideals in 2000000 cliques Thu Aug 20 20:11:52 2026 commencing in-memory singleton removal Thu Aug 20 20:11:53 2026 begin with 139199660 relations and 118152105 unique ideals Thu Aug 20 20:12:00 2026 reduce to 138912559 relations and 112667950 ideals in 7 passes Thu Aug 20 20:12:00 2026 max relations containing the same ideal: 177 Thu Aug 20 20:12:30 2026 removing 7022370 relations and 5022370 ideals in 2000000 cliques Thu Aug 20 20:12:33 2026 commencing in-memory singleton removal Thu Aug 20 20:12:34 2026 begin with 131890189 relations and 112667950 unique ideals Thu Aug 20 20:12:40 2026 reduce to 131604955 relations and 107356490 ideals in 6 passes Thu Aug 20 20:12:40 2026 max relations containing the same ideal: 172 Thu Aug 20 20:13:09 2026 removing 6906615 relations and 4906615 ideals in 2000000 cliques Thu Aug 20 20:13:11 2026 commencing in-memory singleton removal Thu Aug 20 20:13:12 2026 begin with 124698340 relations and 107356490 unique ideals Thu Aug 20 20:13:18 2026 reduce to 124410092 relations and 102157571 ideals in 7 passes Thu Aug 20 20:13:18 2026 max relations containing the same ideal: 164 Thu Aug 20 20:13:46 2026 removing 6826752 relations and 4826752 ideals in 2000000 cliques Thu Aug 20 20:13:48 2026 commencing in-memory singleton removal Thu Aug 20 20:13:49 2026 begin with 117583340 relations and 102157571 unique ideals Thu Aug 20 20:13:54 2026 reduce to 117287562 relations and 97030735 ideals in 6 passes Thu Aug 20 20:13:54 2026 max relations containing the same ideal: 158 Thu Aug 20 20:14:20 2026 removing 6778323 relations and 4778323 ideals in 2000000 cliques Thu Aug 20 20:14:22 2026 commencing in-memory singleton removal Thu Aug 20 20:14:23 2026 begin with 110509239 relations and 97030735 unique ideals Thu Aug 20 20:14:28 2026 reduce to 110202378 relations and 91940772 ideals in 7 passes Thu Aug 20 20:14:28 2026 max relations containing the same ideal: 154 Thu Aug 20 20:14:53 2026 removing 6749979 relations and 4749979 ideals in 2000000 cliques Thu Aug 20 20:14:55 2026 commencing in-memory singleton removal Thu Aug 20 20:14:56 2026 begin with 103452399 relations and 91940772 unique ideals Thu Aug 20 20:15:02 2026 reduce to 103130610 relations and 86863697 ideals in 7 passes Thu Aug 20 20:15:02 2026 max relations containing the same ideal: 149 Thu Aug 20 20:15:27 2026 removing 6748799 relations and 4748799 ideals in 2000000 cliques Thu Aug 20 20:15:28 2026 commencing in-memory singleton removal Thu Aug 20 20:15:29 2026 begin with 96381811 relations and 86863697 unique ideals Thu Aug 20 20:15:34 2026 reduce to 96037766 relations and 81765004 ideals in 7 passes Thu Aug 20 20:15:34 2026 max relations containing the same ideal: 142 Thu Aug 20 20:15:56 2026 removing 6764981 relations and 4764981 ideals in 2000000 cliques Thu Aug 20 20:15:58 2026 commencing in-memory singleton removal Thu Aug 20 20:15:59 2026 begin with 89272785 relations and 81765004 unique ideals Thu Aug 20 20:16:03 2026 reduce to 88903997 relations and 76624437 ideals in 7 passes Thu Aug 20 20:16:03 2026 max relations containing the same ideal: 134 Thu Aug 20 20:16:23 2026 removing 6798860 relations and 4798860 ideals in 2000000 cliques Thu Aug 20 20:16:25 2026 commencing in-memory singleton removal Thu Aug 20 20:16:26 2026 begin with 82105137 relations and 76624437 unique ideals Thu Aug 20 20:16:30 2026 reduce to 81704705 relations and 71417312 ideals in 7 passes Thu Aug 20 20:16:30 2026 max relations containing the same ideal: 128 Thu Aug 20 20:16:49 2026 removing 6858821 relations and 4858821 ideals in 2000000 cliques Thu Aug 20 20:16:51 2026 commencing in-memory singleton removal Thu Aug 20 20:16:51 2026 begin with 74845884 relations and 71417312 unique ideals Thu Aug 20 20:16:55 2026 reduce to 74400485 relations and 66103681 ideals in 7 passes Thu Aug 20 20:16:55 2026 max relations containing the same ideal: 115 Thu Aug 20 20:17:13 2026 removing 6944044 relations and 4944044 ideals in 2000000 cliques Thu Aug 20 20:17:15 2026 commencing in-memory singleton removal Thu Aug 20 20:17:15 2026 begin with 67456441 relations and 66103681 unique ideals Thu Aug 20 20:17:19 2026 reduce to 66955312 relations and 60646761 ideals in 8 passes Thu Aug 20 20:17:19 2026 max relations containing the same ideal: 109 Thu Aug 20 20:17:35 2026 removing 7059912 relations and 5059912 ideals in 2000000 cliques Thu Aug 20 20:17:36 2026 commencing in-memory singleton removal Thu Aug 20 20:17:37 2026 begin with 59895400 relations and 60646761 unique ideals Thu Aug 20 20:17:40 2026 reduce to 59318887 relations and 54995577 ideals in 7 passes Thu Aug 20 20:17:40 2026 max relations containing the same ideal: 100 Thu Aug 20 20:17:54 2026 removing 7208424 relations and 5208424 ideals in 2000000 cliques Thu Aug 20 20:17:56 2026 commencing in-memory singleton removal Thu Aug 20 20:17:56 2026 begin with 52110463 relations and 54995577 unique ideals Thu Aug 20 20:17:59 2026 reduce to 51424983 relations and 49082278 ideals in 8 passes Thu Aug 20 20:17:59 2026 max relations containing the same ideal: 91 Thu Aug 20 20:18:12 2026 removing 5080293 relations and 3837278 ideals in 1243015 cliques Thu Aug 20 20:18:14 2026 commencing in-memory singleton removal Thu Aug 20 20:18:14 2026 begin with 46344690 relations and 49082278 unique ideals Thu Aug 20 20:18:16 2026 reduce to 45963305 relations and 44855741 ideals in 8 passes Thu Aug 20 20:18:16 2026 max relations containing the same ideal: 86 Thu Aug 20 20:18:29 2026 trying target density 90 Thu Aug 20 20:18:32 2026 relations with 0 large ideals: 3551 Thu Aug 20 20:18:32 2026 relations with 1 large ideals: 9772 Thu Aug 20 20:18:32 2026 relations with 2 large ideals: 159457 Thu Aug 20 20:18:32 2026 relations with 3 large ideals: 1106191 Thu Aug 20 20:18:32 2026 relations with 4 large ideals: 4127534 Thu Aug 20 20:18:32 2026 relations with 5 large ideals: 9116042 Thu Aug 20 20:18:32 2026 relations with 6 large ideals: 12564516 Thu Aug 20 20:18:32 2026 relations with 7+ large ideals: 18876242 Thu Aug 20 20:18:32 2026 commencing 2-way merge Thu Aug 20 20:18:52 2026 reduce to 28824747 relation sets and 27717183 unique ideals Thu Aug 20 20:18:52 2026 commencing full merge Thu Aug 20 20:23:46 2026 memory use: 3465.0 MB Thu Aug 20 20:23:48 2026 found 14413950 cycles, need 14261383 Thu Aug 20 20:23:51 2026 weight of 14261383 cycles is about 1283948217 (90.03/cycle) Thu Aug 20 20:23:51 2026 distribution of cycle lengths: Thu Aug 20 20:23:51 2026 1 relations: 1419236 Thu Aug 20 20:23:51 2026 2 relations: 1368377 Thu Aug 20 20:23:51 2026 3 relations: 1399456 Thu Aug 20 20:23:51 2026 4 relations: 1358633 Thu Aug 20 20:23:51 2026 5 relations: 1330642 Thu Aug 20 20:23:51 2026 6 relations: 1269854 Thu Aug 20 20:23:51 2026 7 relations: 1169987 Thu Aug 20 20:23:51 2026 8 relations: 1039108 Thu Aug 20 20:23:51 2026 9 relations: 893639 Thu Aug 20 20:23:51 2026 10+ relations: 3012451 Thu Aug 20 20:23:51 2026 heaviest cycle: 21 relations Thu Aug 20 20:23:53 2026 commencing cycle optimization Thu Aug 20 20:24:08 2026 start with 90028401 relations Thu Aug 20 20:25:33 2026 pruned 2891011 relations Thu Aug 20 20:25:34 2026 memory use: 2805.2 MB Thu Aug 20 20:25:34 2026 distribution of cycle lengths: Thu Aug 20 20:25:34 2026 1 relations: 1419236 Thu Aug 20 20:25:34 2026 2 relations: 1401527 Thu Aug 20 20:25:34 2026 3 relations: 1453501 Thu Aug 20 20:25:34 2026 4 relations: 1403317 Thu Aug 20 20:25:34 2026 5 relations: 1381603 Thu Aug 20 20:25:34 2026 6 relations: 1310652 Thu Aug 20 20:25:34 2026 7 relations: 1206749 Thu Aug 20 20:25:34 2026 8 relations: 1060364 Thu Aug 20 20:25:34 2026 9 relations: 901441 Thu Aug 20 20:25:34 2026 10+ relations: 2722993 Thu Aug 20 20:25:34 2026 heaviest cycle: 21 relations Thu Aug 20 20:25:57 2026 trying target density 110 Thu Aug 20 20:26:01 2026 relations with 0 large ideals: 3551 Thu Aug 20 20:26:01 2026 relations with 1 large ideals: 9772 Thu Aug 20 20:26:01 2026 relations with 2 large ideals: 159457 Thu Aug 20 20:26:01 2026 relations with 3 large ideals: 1106191 Thu Aug 20 20:26:01 2026 relations with 4 large ideals: 4127534 Thu Aug 20 20:26:01 2026 relations with 5 large ideals: 9116042 Thu Aug 20 20:26:01 2026 relations with 6 large ideals: 12564516 Thu Aug 20 20:26:01 2026 relations with 7+ large ideals: 18876242 Thu Aug 20 20:26:01 2026 commencing 2-way merge Thu Aug 20 20:26:24 2026 reduce to 28824747 relation sets and 27717183 unique ideals Thu Aug 20 20:26:24 2026 commencing full merge Thu Aug 20 20:32:50 2026 memory use: 3581.7 MB Thu Aug 20 20:32:53 2026 found 13471767 cycles, need 13351383 Thu Aug 20 20:32:55 2026 weight of 13351383 cycles is about 1469175229 (110.04/cycle) Thu Aug 20 20:32:55 2026 distribution of cycle lengths: Thu Aug 20 20:32:55 2026 1 relations: 964584 Thu Aug 20 20:32:55 2026 2 relations: 1037702 Thu Aug 20 20:32:55 2026 3 relations: 1078408 Thu Aug 20 20:32:55 2026 4 relations: 1061631 Thu Aug 20 20:32:55 2026 5 relations: 1059284 Thu Aug 20 20:32:55 2026 6 relations: 1040504 Thu Aug 20 20:32:55 2026 7 relations: 994604 Thu Aug 20 20:32:55 2026 8 relations: 942073 Thu Aug 20 20:32:55 2026 9 relations: 865477 Thu Aug 20 20:32:55 2026 10+ relations: 4307116 Thu Aug 20 20:32:55 2026 heaviest cycle: 27 relations Thu Aug 20 20:32:57 2026 commencing cycle optimization Thu Aug 20 20:33:16 2026 start with 102692891 relations Thu Aug 20 20:35:22 2026 pruned 4086807 relations Thu Aug 20 20:35:23 2026 memory use: 2938.7 MB Thu Aug 20 20:35:23 2026 distribution of cycle lengths: Thu Aug 20 20:35:23 2026 1 relations: 964584 Thu Aug 20 20:35:23 2026 2 relations: 1063615 Thu Aug 20 20:35:23 2026 3 relations: 1122347 Thu Aug 20 20:35:23 2026 4 relations: 1101735 Thu Aug 20 20:35:23 2026 5 relations: 1105850 Thu Aug 20 20:35:23 2026 6 relations: 1083612 Thu Aug 20 20:35:23 2026 7 relations: 1040053 Thu Aug 20 20:35:23 2026 8 relations: 978720 Thu Aug 20 20:35:23 2026 9 relations: 894725 Thu Aug 20 20:35:23 2026 10+ relations: 3996142 Thu Aug 20 20:35:23 2026 heaviest cycle: 27 relations Thu Aug 20 20:35:39 2026 trying target density 130 Thu Aug 20 20:35:42 2026 relations with 0 large ideals: 3551 Thu Aug 20 20:35:42 2026 relations with 1 large ideals: 9772 Thu Aug 20 20:35:42 2026 relations with 2 large ideals: 159457 Thu Aug 20 20:35:42 2026 relations with 3 large ideals: 1106191 Thu Aug 20 20:35:42 2026 relations with 4 large ideals: 4127534 Thu Aug 20 20:35:42 2026 relations with 5 large ideals: 9116042 Thu Aug 20 20:35:42 2026 relations with 6 large ideals: 12564516 Thu Aug 20 20:35:42 2026 relations with 7+ large ideals: 18876242 Thu Aug 20 20:35:42 2026 commencing 2-way merge Thu Aug 20 20:36:01 2026 reduce to 28824747 relation sets and 27717183 unique ideals Thu Aug 20 20:36:01 2026 commencing full merge Thu Aug 20 20:45:03 2026 memory use: 3659.9 MB Thu Aug 20 20:45:06 2026 found 12720090 cycles, need 12687383 Thu Aug 20 20:45:09 2026 weight of 12687383 cycles is about 1650045916 (130.05/cycle) Thu Aug 20 20:45:09 2026 distribution of cycle lengths: Thu Aug 20 20:45:09 2026 1 relations: 658533 Thu Aug 20 20:45:09 2026 2 relations: 811083 Thu Aug 20 20:45:09 2026 3 relations: 871810 Thu Aug 20 20:45:09 2026 4 relations: 868650 Thu Aug 20 20:45:09 2026 5 relations: 874641 Thu Aug 20 20:45:09 2026 6 relations: 864639 Thu Aug 20 20:45:09 2026 7 relations: 856775 Thu Aug 20 20:45:09 2026 8 relations: 826553 Thu Aug 20 20:45:09 2026 9 relations: 784962 Thu Aug 20 20:45:09 2026 10+ relations: 5269737 Thu Aug 20 20:45:09 2026 heaviest cycle: 28 relations Thu Aug 20 20:45:11 2026 commencing cycle optimization Thu Aug 20 20:45:37 2026 start with 114915056 relations Thu Aug 20 20:48:58 2026 pruned 5340425 relations Thu Aug 20 20:48:59 2026 memory use: 3064.6 MB Thu Aug 20 20:48:59 2026 distribution of cycle lengths: Thu Aug 20 20:48:59 2026 1 relations: 658533 Thu Aug 20 20:48:59 2026 2 relations: 831875 Thu Aug 20 20:48:59 2026 3 relations: 908393 Thu Aug 20 20:48:59 2026 4 relations: 903981 Thu Aug 20 20:48:59 2026 5 relations: 916596 Thu Aug 20 20:48:59 2026 6 relations: 905926 Thu Aug 20 20:48:59 2026 7 relations: 901558 Thu Aug 20 20:48:59 2026 8 relations: 866670 Thu Aug 20 20:48:59 2026 9 relations: 824169 Thu Aug 20 20:48:59 2026 10+ relations: 4969682 Thu Aug 20 20:48:59 2026 heaviest cycle: 28 relations Thu Aug 20 20:49:13 2026 RelProcTime: 7388 Thu Aug 20 20:49:13 2026 Thu Aug 20 20:49:13 2026 commencing linear algebra Thu Aug 20 20:49:13 2026 using VBITS=256 Thu Aug 20 20:49:13 2026 building matrices for all densities Thu Aug 20 20:49:13 2026 found 3 density files Thu Aug 20 20:49:13 2026 building matrix for density 90 Thu Aug 20 20:49:14 2026 read 14261383 cycles Thu Aug 20 20:49:28 2026 cycles contain 45230736 unique relations Thu Aug 20 20:52:36 2026 read 45230736 relations Thu Aug 20 20:52:47 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 20:53:01 2026 building initial matrix Thu Aug 20 20:58:43 2026 memory use: 6371.2 MB Thu Aug 20 20:58:48 2026 read 14261383 cycles Thu Aug 20 20:58:50 2026 matrix is 14261202 x 14261383 (5311.6 MB) with weight 1649265805 (115.65/col) Thu Aug 20 20:58:50 2026 sparse part has weight 1221255167 (85.63/col) Thu Aug 20 21:00:11 2026 filtering completed in 2 passes Thu Aug 20 21:00:13 2026 matrix is 14258746 x 14258924 (5311.3 MB) with weight 1649162653 (115.66/col) Thu Aug 20 21:00:13 2026 sparse part has weight 1221225724 (85.65/col) Thu Aug 20 21:00:38 2026 building matrix for density 110 Thu Aug 20 21:00:39 2026 read 13351383 cycles Thu Aug 20 21:00:55 2026 cycles contain 45243222 unique relations Thu Aug 20 21:02:16 2026 read 45243222 relations Thu Aug 20 21:02:27 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 21:02:42 2026 building initial matrix Thu Aug 20 21:10:00 2026 memory use: 6356.7 MB Thu Aug 20 21:10:05 2026 read 13351383 cycles Thu Aug 20 21:10:07 2026 matrix is 13351205 x 13351383 (5863.7 MB) with weight 1803753225 (135.10/col) Thu Aug 20 21:10:07 2026 sparse part has weight 1376922387 (103.13/col) Thu Aug 20 21:11:35 2026 filtering completed in 2 passes Thu Aug 20 21:11:37 2026 matrix is 13350144 x 13350319 (5863.6 MB) with weight 1803702982 (135.11/col) Thu Aug 20 21:11:37 2026 sparse part has weight 1376906940 (103.14/col) Thu Aug 20 21:12:00 2026 building matrix for density 130 Thu Aug 20 21:12:01 2026 read 12687383 cycles Thu Aug 20 21:12:17 2026 cycles contain 45246087 unique relations Thu Aug 20 21:13:36 2026 read 45246087 relations Thu Aug 20 21:13:48 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 21:14:03 2026 building initial matrix Thu Aug 20 21:21:41 2026 memory use: 6378.6 MB Thu Aug 20 21:21:45 2026 read 12687383 cycles Thu Aug 20 21:21:47 2026 matrix is 12687206 x 12687383 (6404.0 MB) with weight 1953352556 (153.96/col) Thu Aug 20 21:21:47 2026 sparse part has weight 1526526169 (120.32/col) Thu Aug 20 21:23:22 2026 filtering completed in 2 passes Thu Aug 20 21:23:24 2026 matrix is 12686978 x 12687152 (6404.0 MB) with weight 1953341789 (153.96/col) Thu Aug 20 21:23:24 2026 sparse part has weight 1526523403 (120.32/col) Thu Aug 20 21:23:58 2026 BLanczosTime: 2085 Thu Aug 20 21:23:58 2026 elapsed time 02:37:53 Fri Aug 21 02:17:22 2026 Fri Aug 21 02:17:22 2026 Fri Aug 21 02:17:22 2026 Msieve v. 1.54 (SVN unknown) Fri Aug 21 02:17:22 2026 random seeds: 3e34e735 3751b278 Fri Aug 21 02:17:22 2026 factoring 53041821103337716491083410289781962013436221342624751996199124419802716319476360174083547383072178652263595247049246113664203650383171105108036004322080979187442480195312751121801 (179 digits) Fri Aug 21 02:17:23 2026 no P-1/P+1/ECM available, skipping Fri Aug 21 02:17:23 2026 commencing number field sieve (179-digit input) Fri Aug 21 02:17:23 2026 R0: -50203987703899500796847708777087631 Fri Aug 21 02:17:23 2026 R1: 33675820740803577891551 Fri Aug 21 02:17:23 2026 A0: -126937159154788355666792527285549879435422 Fri Aug 21 02:17:23 2026 A1: 30903758391122110461571619680093981 Fri Aug 21 02:17:23 2026 A2: 11273845161506249943705184680 Fri Aug 21 02:17:23 2026 A3: -888438661727435594779 Fri Aug 21 02:17:23 2026 A4: -117305807718648 Fri Aug 21 02:17:23 2026 A5: 1995840 Fri Aug 21 02:17:23 2026 skew 10845008.16, size 2.625e-17, alpha -7.445, combined = 1.331e-13 rroots = 5 Fri Aug 21 02:17:23 2026 Fri Aug 21 02:17:23 2026 commencing linear algebra Fri Aug 21 02:17:23 2026 using VBITS=256 Fri Aug 21 02:17:23 2026 skipping matrix build Fri Aug 21 02:17:31 2026 matrix starts at (0, 0) Fri Aug 21 02:17:35 2026 matrix is 12686978 x 12687152 (6404.0 MB) with weight 1953341789 (153.96/col) Fri Aug 21 02:17:35 2026 sparse part has weight 1526523403 (120.32/col) Fri Aug 21 02:17:35 2026 saving the first 240 matrix rows for later Fri Aug 21 02:17:42 2026 matrix includes 256 packed rows Fri Aug 21 02:17:50 2026 matrix is 12686738 x 12687152 (5809.0 MB) with weight 1404564966 (110.71/col) Fri Aug 21 02:17:50 2026 sparse part has weight 1319809596 (104.03/col) Fri Aug 21 02:17:51 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Fri Aug 21 02:17:51 2026 selected card has CUDA arch 12.0 Fri Aug 21 02:17:53 2026 computed block_nnz 163620724 (L2 cache 100663296 bytes, average column weight 104.0) Fri Aug 21 02:17:53 2026 nonzeros per matrix block: 256000000 Fri Aug 21 02:21:21 2026 commencing Lanczos iteration Fri Aug 21 02:21:21 2026 memory use: 13747.6 MB Fri Aug 21 02:21:31 2026 linear algebra at 0.2%, ETA 1h 1m Fri Aug 21 02:21:45 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions Fri Aug 21 03:26:05 2026 lanczos halted after 49708 iterations (dim = 12686738) Fri Aug 21 03:27:10 2026 recovered 32 nontrivial dependencies Fri Aug 21 03:27:10 2026 BLanczosTime: 4187 Fri Aug 21 03:27:10 2026 elapsed time 01:09:48 Thu Aug 20 23:40:28 2026 Thu Aug 20 23:40:28 2026 Thu Aug 20 23:40:28 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 23:40:28 2026 random seeds: baf54572 5edd7f5a Thu Aug 20 23:40:28 2026 Using 14 OpenMP threads Thu Aug 20 23:40:28 2026 factoring 53041821103337716491083410289781962013436221342624751996199124419802716319476360174083547383072178652263595247049246113664203650383171105108036004322080979187442480195312751121801 (179 digits) Thu Aug 20 23:40:28 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 23:40:28 2026 commencing number field sieve (179-digit input) Thu Aug 20 23:40:28 2026 R0: -50203987703899500796847708777087631 Thu Aug 20 23:40:28 2026 R1: 33675820740803577891551 Thu Aug 20 23:40:28 2026 A0: -126937159154788355666792527285549879435422 Thu Aug 20 23:40:28 2026 A1: 30903758391122110461571619680093981 Thu Aug 20 23:40:28 2026 A2: 11273845161506249943705184680 Thu Aug 20 23:40:28 2026 A3: -888438661727435594779 Thu Aug 20 23:40:28 2026 A4: -117305807718648 Thu Aug 20 23:40:28 2026 A5: 1995840 Thu Aug 20 23:40:28 2026 skew 10845008.16, size 2.625e-17, alpha -7.445, combined = 1.331e-13 rroots = 5 Thu Aug 20 23:40:28 2026 Thu Aug 20 23:40:28 2026 commencing square root phase Thu Aug 20 23:40:28 2026 reading relations for dependency 1 Thu Aug 20 23:40:31 2026 read 6343169 cycles Thu Aug 20 23:40:42 2026 cycles contain 22615554 unique relations Thu Aug 20 23:46:50 2026 read 22615554 relations Thu Aug 20 23:48:15 2026 multiplying 22615554 relations Thu Aug 20 23:51:25 2026 multiply complete, coefficients have about 1363.59 million bits Thu Aug 20 23:51:28 2026 initial square root is modulo 1308247 Thu Aug 20 23:58:43 2026 sqrtTime: 1095 Thu Aug 20 23:58:43 2026 p68 factor: 29557241365355843653494604717738145079512787507895134347718913054559 Thu Aug 20 23:58:43 2026 p112 factor: 1794545723929034836174988965843940216214667684672282719835014681757646809849230566527890791849358805313482966039 Thu Aug 20 23:58:43 2026 elapsed time 00:18:15