Thu Jul 23 10:59:41 2026 Thu Jul 23 10:59:41 2026 Thu Jul 23 10:59:41 2026 Msieve v. 1.54 (SVN unknown) Thu Jul 23 10:59:41 2026 random seeds: 266623fa 21d67797 Thu Jul 23 10:59:41 2026 Using 14 OpenMP threads Thu Jul 23 10:59:41 2026 factoring 17616677290806045648975006475062484904319866789548689710617054686556793500504014292244413297556535864232155049750602042344190200089847557849937192089781048667107035606673521031 (176 digits) Thu Jul 23 10:59:42 2026 no P-1/P+1/ECM available, skipping Thu Jul 23 10:59:42 2026 commencing number field sieve (176-digit input) Thu Jul 23 10:59:42 2026 R0: -10970084074293095181277496595009873 Thu Jul 23 10:59:42 2026 R1: 9051381785987709708677 Thu Jul 23 10:59:42 2026 A0: 1354920793137290584690604256060053637998400 Thu Jul 23 10:59:42 2026 A1: 374466412987170063010068392832803590 Thu Jul 23 10:59:42 2026 A2: -19679253706052960213466922743 Thu Jul 23 10:59:42 2026 A3: -690849688426002186550 Thu Jul 23 10:59:42 2026 A4: 19496641101072 Thu Jul 23 10:59:42 2026 A5: 332640 Thu Jul 23 10:59:42 2026 skew 24444586.49, size 5.862e-17, alpha -7.958, combined = 2.126e-13 rroots = 5 Thu Jul 23 10:59:42 2026 Thu Jul 23 10:59:42 2026 commencing relation filtering Thu Jul 23 10:59:42 2026 setting 4 target densities:Thu Jul 23 10:59:42 2026 90Thu Jul 23 10:59:42 2026 110Thu Jul 23 10:59:42 2026 130Thu Jul 23 10:59:42 2026 140Thu Jul 23 10:59:42 2026 Thu Jul 23 10:59:42 2026 estimated available RAM is 78540.1 MB Thu Jul 23 10:59:42 2026 commencing duplicate removal, pass 1 Thu Jul 23 11:00:14 2026 error -1 reading relation 39545242 Thu Jul 23 11:00:16 2026 error -1 reading relation 41361623 Thu Jul 23 11:00:31 2026 error -1 reading relation 58793861 Thu Jul 23 11:00:49 2026 error -1 reading relation 82385114 Thu Jul 23 11:00:51 2026 error -1 reading relation 85119767 Thu Jul 23 11:00:51 2026 error -1 reading relation 85144144 Thu Jul 23 11:00:53 2026 error -1 reading relation 86706896 Thu Jul 23 11:01:00 2026 error -1 reading relation 95224054 Thu Jul 23 11:01:03 2026 error -1 reading relation 99222877 Thu Jul 23 11:01:04 2026 error -1 reading relation 99423725 Thu Jul 23 11:01:30 2026 error -1 reading relation 122370877 Thu Jul 23 11:01:30 2026 error -1 reading relation 122774392 Thu Jul 23 11:01:42 2026 error -1 reading relation 135605867 Thu Jul 23 11:01:49 2026 error -1 reading relation 143850332 Thu Jul 23 11:01:53 2026 error -1 reading relation 147982965 Thu Jul 23 11:01:56 2026 error -1 reading relation 151458379 Thu Jul 23 11:02:00 2026 error -1 reading relation 155808552 Thu Jul 23 11:02:05 2026 error -1 reading relation 161215359 Thu Jul 23 11:02:35 2026 error -5 reading relation 194915077 Thu Jul 23 11:02:45 2026 error -1 reading relation 206739123 Thu Jul 23 11:02:45 2026 error -1 reading relation 206754443 Thu Jul 23 11:02:57 2026 error -1 reading relation 219364304 Thu Jul 23 11:03:03 2026 error -1 reading relation 225636190 Thu Jul 23 11:03:06 2026 error -1 reading relation 229553599 Thu Jul 23 11:03:11 2026 error -1 reading relation 234860204 Thu Jul 23 11:03:16 2026 error -15 reading relation 242260199 Thu Jul 23 11:03:16 2026 error -1 reading relation 242508951 Thu Jul 23 11:03:16 2026 error -1 reading relation 242796212 Thu Jul 23 11:03:17 2026 error -1 reading relation 243175378 Thu Jul 23 11:03:17 2026 error -15 reading relation 243758246 Thu Jul 23 11:03:18 2026 error -1 reading relation 245170631 Thu Jul 23 11:03:23 2026 error -1 reading relation 251065581 Thu Jul 23 11:03:24 2026 error -1 reading relation 252248858 Thu Jul 23 11:03:28 2026 error -1 reading relation 256872927 Thu Jul 23 11:03:30 2026 error -1 reading relation 258488873 Thu Jul 23 11:03:31 2026 error -11 reading relation 259960793 Thu Jul 23 11:03:45 2026 error -1 reading relation 278325576 Thu Jul 23 11:03:47 2026 error -1 reading relation 280473529 Thu Jul 23 11:03:51 2026 error -1 reading relation 285062289 Thu Jul 23 11:03:59 2026 error -1 reading relation 292832849 Thu Jul 23 11:04:04 2026 error -1 reading relation 297236654 Thu Jul 23 11:04:06 2026 error -1 reading relation 299657219 Thu Jul 23 11:04:07 2026 error -1 reading relation 301097741 Thu Jul 23 11:04:07 2026 error -1 reading relation 301566607 Thu Jul 23 11:04:07 2026 error -1 reading relation 301586853 Thu Jul 23 11:04:13 2026 error -1 reading relation 308968482 Thu Jul 23 11:04:13 2026 error -1 reading relation 308968483 Thu Jul 23 11:04:13 2026 error -1 reading relation 308997171 Thu Jul 23 11:04:13 2026 error -1 reading relation 309034804 Thu Jul 23 11:04:13 2026 error -1 reading relation 309100956 Thu Jul 23 11:04:17 2026 error -1 reading relation 313409297 Thu Jul 23 11:04:22 2026 error -1 reading relation 320806235 Thu Jul 23 11:04:26 2026 error -1 reading relation 325428384 Thu Jul 23 11:04:27 2026 skipped 5 relations with composite factors Thu Jul 23 11:04:27 2026 skipped 374 malformed relations Thu Jul 23 11:04:27 2026 found 69182829 hash collisions in 327355440 relations Thu Jul 23 11:04:40 2026 added 121980 free relations Thu Jul 23 11:04:40 2026 commencing duplicate removal, pass 2 Thu Jul 23 11:06:50 2026 found 74984297 duplicates and 252493123 unique relations Thu Jul 23 11:06:50 2026 memory use: 1705.5 MB Thu Jul 23 11:06:50 2026 reading ideals above 720000 Thu Jul 23 11:06:50 2026 commencing singleton removal, initial pass Thu Jul 23 11:17:43 2026 memory use: 6024.0 MB Thu Jul 23 11:17:42 2026 reading all ideals from disk Thu Jul 23 11:17:55 2026 memory use: 11947.5 MB Thu Jul 23 11:18:21 2026 keeping 241935647 ideals with weight <= 200, target excess is 1243147 Thu Jul 23 11:18:42 2026 commencing in-memory singleton removal Thu Jul 23 11:18:45 2026 begin with 252493123 relations and 241935647 unique ideals Thu Jul 23 11:19:06 2026 reduce to 147669988 relations and 125279951 ideals in 17 passes Thu Jul 23 11:19:06 2026 max relations containing the same ideal: 147 Thu Jul 23 11:19:45 2026 removing 12660089 relations and 10660089 ideals in 2000000 cliques Thu Jul 23 11:19:46 2026 commencing in-memory singleton removal Thu Jul 23 11:19:48 2026 begin with 135009899 relations and 125279951 unique ideals Thu Jul 23 11:19:57 2026 reduce to 134149178 relations and 113743868 ideals in 10 passes Thu Jul 23 11:19:57 2026 max relations containing the same ideal: 139 Thu Jul 23 11:20:34 2026 removing 9675542 relations and 7675542 ideals in 2000000 cliques Thu Jul 23 11:20:37 2026 commencing in-memory singleton removal Thu Jul 23 11:20:38 2026 begin with 124473636 relations and 113743868 unique ideals Thu Jul 23 11:20:46 2026 reduce to 123896993 relations and 105482800 ideals in 9 passes Thu Jul 23 11:20:46 2026 max relations containing the same ideal: 137 Thu Jul 23 11:21:18 2026 removing 8773033 relations and 6773033 ideals in 2000000 cliques Thu Jul 23 11:21:19 2026 commencing in-memory singleton removal Thu Jul 23 11:21:21 2026 begin with 115123960 relations and 105482800 unique ideals Thu Jul 23 11:21:27 2026 reduce to 114604511 relations and 98182248 ideals in 8 passes Thu Jul 23 11:21:27 2026 max relations containing the same ideal: 129 Thu Jul 23 11:21:57 2026 removing 8321713 relations and 6321713 ideals in 2000000 cliques Thu Jul 23 11:21:59 2026 commencing in-memory singleton removal Thu Jul 23 11:22:01 2026 begin with 106282798 relations and 98182248 unique ideals Thu Jul 23 11:22:07 2026 reduce to 105781029 relations and 91350645 ideals in 8 passes Thu Jul 23 11:22:07 2026 max relations containing the same ideal: 119 Thu Jul 23 11:22:35 2026 removing 8058107 relations and 6058107 ideals in 2000000 cliques Thu Jul 23 11:22:37 2026 commencing in-memory singleton removal Thu Jul 23 11:22:38 2026 begin with 97722922 relations and 91350645 unique ideals Thu Jul 23 11:22:43 2026 reduce to 97217780 relations and 84778697 ideals in 8 passes Thu Jul 23 11:22:43 2026 max relations containing the same ideal: 115 Thu Jul 23 11:23:09 2026 removing 7897291 relations and 5897291 ideals in 2000000 cliques Thu Jul 23 11:23:11 2026 commencing in-memory singleton removal Thu Jul 23 11:23:12 2026 begin with 89320489 relations and 84778697 unique ideals Thu Jul 23 11:23:18 2026 reduce to 88795410 relations and 78346732 ideals in 8 passes Thu Jul 23 11:23:18 2026 max relations containing the same ideal: 105 Thu Jul 23 11:23:42 2026 removing 7808718 relations and 5808718 ideals in 2000000 cliques Thu Jul 23 11:23:44 2026 commencing in-memory singleton removal Thu Jul 23 11:23:45 2026 begin with 80986692 relations and 78346732 unique ideals Thu Jul 23 11:23:49 2026 reduce to 80430773 relations and 71971161 ideals in 8 passes Thu Jul 23 11:23:49 2026 max relations containing the same ideal: 102 Thu Jul 23 11:24:12 2026 removing 7771620 relations and 5771620 ideals in 2000000 cliques Thu Jul 23 11:24:14 2026 commencing in-memory singleton removal Thu Jul 23 11:24:14 2026 begin with 72659153 relations and 71971161 unique ideals Thu Jul 23 11:24:18 2026 reduce to 72057715 relations and 65585061 ideals in 8 passes Thu Jul 23 11:24:18 2026 max relations containing the same ideal: 96 Thu Jul 23 11:24:39 2026 removing 7770935 relations and 5770935 ideals in 2000000 cliques Thu Jul 23 11:24:40 2026 commencing in-memory singleton removal Thu Jul 23 11:24:41 2026 begin with 64286780 relations and 65585061 unique ideals Thu Jul 23 11:24:45 2026 reduce to 63620061 relations and 59131503 ideals in 9 passes Thu Jul 23 11:24:45 2026 max relations containing the same ideal: 82 Thu Jul 23 11:25:03 2026 removing 7809198 relations and 5809198 ideals in 2000000 cliques Thu Jul 23 11:25:05 2026 commencing in-memory singleton removal Thu Jul 23 11:25:05 2026 begin with 55810863 relations and 59131503 unique ideals Thu Jul 23 11:25:08 2026 reduce to 55054452 relations and 52545415 ideals in 8 passes Thu Jul 23 11:25:08 2026 max relations containing the same ideal: 77 Thu Jul 23 11:25:25 2026 removing 4811988 relations and 3745002 ideals in 1066986 cliques Thu Jul 23 11:25:26 2026 commencing in-memory singleton removal Thu Jul 23 11:25:27 2026 begin with 50242464 relations and 52545415 unique ideals Thu Jul 23 11:25:29 2026 reduce to 49932908 relations and 48485786 ideals in 11 passes Thu Jul 23 11:25:29 2026 max relations containing the same ideal: 73 Thu Jul 23 11:25:45 2026 trying target density 90 Thu Jul 23 11:25:49 2026 relations with 0 large ideals: 4704 Thu Jul 23 11:25:49 2026 relations with 1 large ideals: 31409 Thu Jul 23 11:25:49 2026 relations with 2 large ideals: 426034 Thu Jul 23 11:25:49 2026 relations with 3 large ideals: 2383301 Thu Jul 23 11:25:49 2026 relations with 4 large ideals: 7116232 Thu Jul 23 11:25:49 2026 relations with 5 large ideals: 12543024 Thu Jul 23 11:25:49 2026 relations with 6 large ideals: 13633846 Thu Jul 23 11:25:49 2026 relations with 7+ large ideals: 13794358 Thu Jul 23 11:25:49 2026 commencing 2-way merge Thu Jul 23 11:26:11 2026 reduce to 31266888 relation sets and 29819766 unique ideals Thu Jul 23 11:26:11 2026 commencing full merge Thu Jul 23 11:32:13 2026 memory use: 3561.5 MB Thu Jul 23 11:32:16 2026 found 15501289 cycles, need 15307966 Thu Jul 23 11:32:19 2026 weight of 15307966 cycles is about 1378211193 (90.03/cycle) Thu Jul 23 11:32:19 2026 distribution of cycle lengths: Thu Jul 23 11:32:19 2026 1 relations: 1363243 Thu Jul 23 11:32:19 2026 2 relations: 1505446 Thu Jul 23 11:32:19 2026 3 relations: 1543183 Thu Jul 23 11:32:19 2026 4 relations: 1456386 Thu Jul 23 11:32:19 2026 5 relations: 1388354 Thu Jul 23 11:32:19 2026 6 relations: 1305849 Thu Jul 23 11:32:19 2026 7 relations: 1200945 Thu Jul 23 11:32:19 2026 8 relations: 1074178 Thu Jul 23 11:32:19 2026 9 relations: 946376 Thu Jul 23 11:32:19 2026 10+ relations: 3524006 Thu Jul 23 11:32:19 2026 heaviest cycle: 22 relations Thu Jul 23 11:32:22 2026 commencing cycle optimization Thu Jul 23 11:32:41 2026 start with 99551675 relations Thu Jul 23 11:34:36 2026 pruned 3052839 relations Thu Jul 23 11:34:37 2026 memory use: 3069.0 MB Thu Jul 23 11:34:37 2026 distribution of cycle lengths: Thu Jul 23 11:34:37 2026 1 relations: 1363243 Thu Jul 23 11:34:37 2026 2 relations: 1541518 Thu Jul 23 11:34:37 2026 3 relations: 1603144 Thu Jul 23 11:34:37 2026 4 relations: 1500692 Thu Jul 23 11:34:37 2026 5 relations: 1437538 Thu Jul 23 11:34:37 2026 6 relations: 1343199 Thu Jul 23 11:34:37 2026 7 relations: 1232777 Thu Jul 23 11:34:37 2026 8 relations: 1093815 Thu Jul 23 11:34:37 2026 9 relations: 955403 Thu Jul 23 11:34:37 2026 10+ relations: 3236637 Thu Jul 23 11:34:37 2026 heaviest cycle: 22 relations Thu Jul 23 11:34:55 2026 trying target density 110 Thu Jul 23 11:34:58 2026 relations with 0 large ideals: 4704 Thu Jul 23 11:34:58 2026 relations with 1 large ideals: 31409 Thu Jul 23 11:34:58 2026 relations with 2 large ideals: 426034 Thu Jul 23 11:34:58 2026 relations with 3 large ideals: 2383301 Thu Jul 23 11:34:58 2026 relations with 4 large ideals: 7116232 Thu Jul 23 11:34:58 2026 relations with 5 large ideals: 12543024 Thu Jul 23 11:34:58 2026 relations with 6 large ideals: 13633846 Thu Jul 23 11:34:58 2026 relations with 7+ large ideals: 13794358 Thu Jul 23 11:34:58 2026 commencing 2-way merge Thu Jul 23 11:35:20 2026 reduce to 31266888 relation sets and 29819766 unique ideals Thu Jul 23 11:35:20 2026 commencing full merge Thu Jul 23 11:43:38 2026 memory use: 3650.7 MB Thu Jul 23 11:43:41 2026 found 14457626 cycles, need 14309966 Thu Jul 23 11:43:45 2026 weight of 14309966 cycles is about 1574772187 (110.05/cycle) Thu Jul 23 11:43:45 2026 distribution of cycle lengths: Thu Jul 23 11:43:45 2026 1 relations: 872424 Thu Jul 23 11:43:45 2026 2 relations: 1118178 Thu Jul 23 11:43:45 2026 3 relations: 1194430 Thu Jul 23 11:43:45 2026 4 relations: 1159909 Thu Jul 23 11:43:45 2026 5 relations: 1130236 Thu Jul 23 11:43:45 2026 6 relations: 1088608 Thu Jul 23 11:43:45 2026 7 relations: 1027967 Thu Jul 23 11:43:45 2026 8 relations: 970907 Thu Jul 23 11:43:45 2026 9 relations: 896383 Thu Jul 23 11:43:45 2026 10+ relations: 4850924 Thu Jul 23 11:43:45 2026 heaviest cycle: 27 relations Thu Jul 23 11:43:46 2026 commencing cycle optimization Thu Jul 23 11:44:12 2026 start with 113393091 relations Thu Jul 23 11:47:24 2026 pruned 4282302 relations Thu Jul 23 11:47:24 2026 memory use: 3215.5 MB Thu Jul 23 11:47:24 2026 distribution of cycle lengths: Thu Jul 23 11:47:24 2026 1 relations: 872424 Thu Jul 23 11:47:24 2026 2 relations: 1146909 Thu Jul 23 11:47:24 2026 3 relations: 1244652 Thu Jul 23 11:47:24 2026 4 relations: 1201345 Thu Jul 23 11:47:24 2026 5 relations: 1177365 Thu Jul 23 11:47:24 2026 6 relations: 1129165 Thu Jul 23 11:47:24 2026 7 relations: 1068822 Thu Jul 23 11:47:24 2026 8 relations: 1002876 Thu Jul 23 11:47:24 2026 9 relations: 922111 Thu Jul 23 11:47:24 2026 10+ relations: 4544297 Thu Jul 23 11:47:24 2026 heaviest cycle: 26 relations Thu Jul 23 11:47:45 2026 trying target density 130 Thu Jul 23 11:47:48 2026 relations with 0 large ideals: 4704 Thu Jul 23 11:47:48 2026 relations with 1 large ideals: 31409 Thu Jul 23 11:47:48 2026 relations with 2 large ideals: 426034 Thu Jul 23 11:47:48 2026 relations with 3 large ideals: 2383301 Thu Jul 23 11:47:48 2026 relations with 4 large ideals: 7116232 Thu Jul 23 11:47:48 2026 relations with 5 large ideals: 12543024 Thu Jul 23 11:47:48 2026 relations with 6 large ideals: 13633846 Thu Jul 23 11:47:48 2026 relations with 7+ large ideals: 13794358 Thu Jul 23 11:47:48 2026 commencing 2-way merge Thu Jul 23 11:48:08 2026 reduce to 31266888 relation sets and 29819766 unique ideals Thu Jul 23 11:48:08 2026 commencing full merge Thu Jul 23 11:58:28 2026 memory use: 3697.8 MB Thu Jul 23 11:58:31 2026 found 13605838 cycles, need 13579966 Thu Jul 23 11:58:35 2026 weight of 13579966 cycles is about 1765498388 (130.01/cycle) Thu Jul 23 11:58:35 2026 distribution of cycle lengths: Thu Jul 23 11:58:35 2026 1 relations: 577157 Thu Jul 23 11:58:35 2026 2 relations: 854333 Thu Jul 23 11:58:35 2026 3 relations: 960450 Thu Jul 23 11:58:35 2026 4 relations: 951573 Thu Jul 23 11:58:35 2026 5 relations: 945567 Thu Jul 23 11:58:35 2026 6 relations: 916766 Thu Jul 23 11:58:35 2026 7 relations: 893308 Thu Jul 23 11:58:35 2026 8 relations: 851875 Thu Jul 23 11:58:35 2026 9 relations: 807164 Thu Jul 23 11:58:35 2026 10+ relations: 5821773 Thu Jul 23 11:58:35 2026 heaviest cycle: 28 relations Thu Jul 23 11:58:38 2026 commencing cycle optimization Thu Jul 23 11:59:05 2026 start with 126642937 relations Thu Jul 23 12:03:23 2026 pruned 5570744 relations Thu Jul 23 12:03:23 2026 memory use: 3350.7 MB Thu Jul 23 12:03:23 2026 distribution of cycle lengths: Thu Jul 23 12:03:23 2026 1 relations: 577157 Thu Jul 23 12:03:23 2026 2 relations: 877670 Thu Jul 23 12:03:23 2026 3 relations: 1002697 Thu Jul 23 12:03:23 2026 4 relations: 989494 Thu Jul 23 12:03:23 2026 5 relations: 988409 Thu Jul 23 12:03:23 2026 6 relations: 956570 Thu Jul 23 12:03:23 2026 7 relations: 934510 Thu Jul 23 12:03:23 2026 8 relations: 888307 Thu Jul 23 12:03:23 2026 9 relations: 841203 Thu Jul 23 12:03:23 2026 10+ relations: 5523949 Thu Jul 23 12:03:23 2026 heaviest cycle: 28 relations Thu Jul 23 12:03:45 2026 trying target density 140 Thu Jul 23 12:03:49 2026 relations with 0 large ideals: 4704 Thu Jul 23 12:03:49 2026 relations with 1 large ideals: 31409 Thu Jul 23 12:03:49 2026 relations with 2 large ideals: 426034 Thu Jul 23 12:03:49 2026 relations with 3 large ideals: 2383301 Thu Jul 23 12:03:49 2026 relations with 4 large ideals: 7116232 Thu Jul 23 12:03:49 2026 relations with 5 large ideals: 12543024 Thu Jul 23 12:03:49 2026 relations with 6 large ideals: 13633846 Thu Jul 23 12:03:49 2026 relations with 7+ large ideals: 13794358 Thu Jul 23 12:03:49 2026 commencing 2-way merge Thu Jul 23 12:04:12 2026 reduce to 31266888 relation sets and 29819766 unique ideals Thu Jul 23 12:04:12 2026 commencing full merge Thu Jul 23 12:22:00 2026 memory use: 1389.7 MB Thu Jul 23 12:22:00 2026 found 70119 cycles, need 6944347 Thu Jul 23 12:22:00 2026 too few cycles, matrix probably cannot build Thu Jul 23 12:22:06 2026 RelProcTime: 4944 Thu Jul 23 12:22:06 2026 Thu Jul 23 12:22:06 2026 commencing linear algebra Thu Jul 23 12:22:06 2026 using VBITS=256 Thu Jul 23 12:22:06 2026 building matrices for all densities Thu Jul 23 12:22:06 2026 found 3 density files Thu Jul 23 12:22:06 2026 building matrix for density 90 Thu Jul 23 12:22:12 2026 read 15307966 cycles Thu Jul 23 12:22:34 2026 cycles contain 48981292 unique relations Thu Jul 23 12:28:51 2026 read 48981292 relations Thu Jul 23 12:28:59 2026 using 20 quadratic characters above 4294917295 Thu Jul 23 12:29:10 2026 building initial matrix Thu Jul 23 12:35:38 2026 memory use: 6770.9 MB Thu Jul 23 12:35:43 2026 read 15307966 cycles Thu Jul 23 12:35:45 2026 matrix is 15307784 x 15307966 (5711.1 MB) with weight 1768759827 (115.55/col) Thu Jul 23 12:35:45 2026 sparse part has weight 1313431317 (85.80/col) Thu Jul 23 12:37:23 2026 filtering completed in 2 passes Thu Jul 23 12:37:26 2026 matrix is 15303763 x 15303944 (5710.7 MB) with weight 1768588661 (115.56/col) Thu Jul 23 12:37:26 2026 sparse part has weight 1313380046 (85.82/col) Thu Jul 23 12:37:52 2026 building matrix for density 110 Thu Jul 23 12:37:57 2026 read 14309966 cycles Thu Jul 23 12:38:15 2026 cycles contain 48991953 unique relations Thu Jul 23 12:39:43 2026 read 48991953 relations Thu Jul 23 12:39:52 2026 using 20 quadratic characters above 4294917295 Thu Jul 23 12:40:03 2026 building initial matrix Thu Jul 23 12:48:55 2026 memory use: 6789.8 MB Thu Jul 23 12:49:01 2026 read 14309966 cycles Thu Jul 23 12:49:03 2026 matrix is 14309788 x 14309966 (6300.5 MB) with weight 1933472275 (135.11/col) Thu Jul 23 12:49:03 2026 sparse part has weight 1479930375 (103.42/col) Thu Jul 23 12:51:02 2026 filtering completed in 2 passes Thu Jul 23 12:51:05 2026 matrix is 14307990 x 14308167 (6300.3 MB) with weight 1933378963 (135.12/col) Thu Jul 23 12:51:05 2026 sparse part has weight 1479896539 (103.43/col) Thu Jul 23 12:51:37 2026 building matrix for density 130 Thu Jul 23 12:51:39 2026 read 13579966 cycles Thu Jul 23 12:51:59 2026 cycles contain 48990441 unique relations Thu Jul 23 12:52:53 2026 read 48990441 relations Thu Jul 23 12:53:03 2026 using 20 quadratic characters above 4294917295 Thu Jul 23 12:53:15 2026 building initial matrix Thu Jul 23 13:02:03 2026 memory use: 6813.0 MB Thu Jul 23 13:02:09 2026 read 13579966 cycles Thu Jul 23 13:02:09 2026 matrix is 13579788 x 13579966 (6870.7 MB) with weight 2090931477 (153.97/col) Thu Jul 23 13:02:09 2026 sparse part has weight 1638152855 (120.63/col) Thu Jul 23 13:03:50 2026 filtering completed in 2 passes Thu Jul 23 13:03:53 2026 matrix is 13579536 x 13579713 (6870.7 MB) with weight 2090919572 (153.97/col) Thu Jul 23 13:03:53 2026 sparse part has weight 1638150013 (120.63/col) Thu Jul 23 13:04:20 2026 BLanczosTime: 2534 Thu Jul 23 13:04:20 2026 elapsed time 02:04:39 Thu Jul 23 22:23:50 2026 Thu Jul 23 22:23:50 2026 Thu Jul 23 22:23:50 2026 Msieve v. 1.54 (SVN unknown) Thu Jul 23 22:23:50 2026 random seeds: 6fa0a4b2 f1703fd8 Thu Jul 23 22:23:50 2026 Using 8 OpenMP threads Thu Jul 23 22:23:50 2026 factoring 17616677290806045648975006475062484904319866789548689710617054686556793500504014292244413297556535864232155049750602042344190200089847557849937192089781048667107035606673521031 (176 digits) Thu Jul 23 22:23:50 2026 no P-1/P+1/ECM available, skipping Thu Jul 23 22:23:50 2026 commencing number field sieve (176-digit input) Thu Jul 23 22:23:50 2026 R0: -10970084074293095181277496595009873 Thu Jul 23 22:23:50 2026 R1: 9051381785987709708677 Thu Jul 23 22:23:50 2026 A0: 1354920793137290584690604256060053637998400 Thu Jul 23 22:23:50 2026 A1: 374466412987170063010068392832803590 Thu Jul 23 22:23:50 2026 A2: -19679253706052960213466922743 Thu Jul 23 22:23:50 2026 A3: -690849688426002186550 Thu Jul 23 22:23:50 2026 A4: 19496641101072 Thu Jul 23 22:23:50 2026 A5: 332640 Thu Jul 23 22:23:50 2026 skew 24444586.49, size 5.862e-17, alpha -7.958, combined = 2.126e-13 rroots = 5 Thu Jul 23 22:23:50 2026 Thu Jul 23 22:23:50 2026 commencing linear algebra Thu Jul 23 22:23:50 2026 using VBITS=256 Thu Jul 23 22:23:50 2026 skipping matrix build Thu Jul 23 22:23:55 2026 matrix starts at (0, 0) Thu Jul 23 22:23:57 2026 matrix is 13579536 x 13579713 (6870.7 MB) with weight 2090919572 (153.97/col) Thu Jul 23 22:23:57 2026 sparse part has weight 1638150013 (120.63/col) Thu Jul 23 22:23:57 2026 saving the first 240 matrix rows for later Thu Jul 23 22:23:59 2026 matrix includes 256 packed rows Thu Jul 23 22:24:03 2026 matrix is 13579296 x 13579713 (6193.4 MB) with weight 1500559437 (110.50/col) Thu Jul 23 22:24:03 2026 sparse part has weight 1406283783 (103.56/col) Thu Jul 23 22:24:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Thu Jul 23 22:24:03 2026 selected card has CUDA arch 12.0 Thu Jul 23 22:24:04 2026 computed block_nnz 162882171 (L2 cache 100663296 bytes, average column weight 103.6) Thu Jul 23 22:24:04 2026 nonzeros per matrix block: 256000000 Thu Jul 23 22:25:37 2026 commencing Lanczos iteration Thu Jul 23 22:25:38 2026 memory use: 14666.1 MB Thu Jul 23 22:25:50 2026 linear algebra at 0.2%, ETA 1h21m Thu Jul 23 22:26:06 2026 checking every 170000 dimensions, checkpointing every 10370000 dimensions Thu Jul 23 23:46:35 2026 lanczos halted after 53204 iterations (dim = 13579295) Thu Jul 23 23:47:15 2026 recovered 27 nontrivial dependencies Thu Jul 23 23:47:15 2026 BLanczosTime: 5005 Thu Jul 23 23:47:15 2026 elapsed time 01:23:25 Thu Jul 23 20:29:03 2026 Thu Jul 23 20:29:03 2026 Thu Jul 23 20:29:03 2026 Msieve v. 1.54 (SVN unknown) Thu Jul 23 20:29:03 2026 random seeds: ae8bf3f6 2d907855 Thu Jul 23 20:29:03 2026 Using 14 OpenMP threads Thu Jul 23 20:29:03 2026 factoring 17616677290806045648975006475062484904319866789548689710617054686556793500504014292244413297556535864232155049750602042344190200089847557849937192089781048667107035606673521031 (176 digits) Thu Jul 23 20:29:03 2026 no P-1/P+1/ECM available, skipping Thu Jul 23 20:29:03 2026 commencing number field sieve (176-digit input) Thu Jul 23 20:29:03 2026 R0: -10970084074293095181277496595009873 Thu Jul 23 20:29:03 2026 R1: 9051381785987709708677 Thu Jul 23 20:29:03 2026 A0: 1354920793137290584690604256060053637998400 Thu Jul 23 20:29:03 2026 A1: 374466412987170063010068392832803590 Thu Jul 23 20:29:03 2026 A2: -19679253706052960213466922743 Thu Jul 23 20:29:03 2026 A3: -690849688426002186550 Thu Jul 23 20:29:03 2026 A4: 19496641101072 Thu Jul 23 20:29:03 2026 A5: 332640 Thu Jul 23 20:29:03 2026 skew 24444586.49, size 5.862e-17, alpha -7.958, combined = 2.126e-13 rroots = 5 Thu Jul 23 20:29:03 2026 Thu Jul 23 20:29:03 2026 commencing square root phase Thu Jul 23 20:29:03 2026 reading relations for dependency 1 Thu Jul 23 20:29:04 2026 read 6786657 cycles Thu Jul 23 20:29:17 2026 cycles contain 24493896 unique relations Thu Jul 23 20:36:55 2026 read 24493896 relations Thu Jul 23 20:38:25 2026 multiplying 24493896 relations Thu Jul 23 20:41:02 2026 multiply complete, coefficients have about 1380.96 million bits Thu Jul 23 20:41:03 2026 initial square root is modulo 1565441 Thu Jul 23 20:46:28 2026 sqrtTime: 1045 Thu Jul 23 20:46:28 2026 p72 factor: 478237308712936075258158105481987417326704058206146503694868946671287979 Thu Jul 23 20:46:28 2026 p104 factor: 36836685406701569442595059822243677422131684109138729930144581896624908320999297655163112263918404567189 Thu Jul 23 20:46:28 2026 elapsed time 00:17:25