Tue Jul 28 18:01:31 2026 Tue Jul 28 18:01:31 2026 Tue Jul 28 18:01:31 2026 Msieve v. 1.54 (SVN unknown) Tue Jul 28 18:01:31 2026 random seeds: b2069411 74202e1b Tue Jul 28 18:01:31 2026 Using 14 OpenMP threads Tue Jul 28 18:01:31 2026 factoring 5608106082730473612086249609500390919477339700061515259007987253343974384954916312105094962624302281927432379863949572237897843009195512217715782647799252530207597152919087471 (175 digits) Tue Jul 28 18:01:31 2026 no P-1/P+1/ECM available, skipping Tue Jul 28 18:01:31 2026 commencing number field sieve (175-digit input) Tue Jul 28 18:01:31 2026 R0: -7801718609313819188945669647619128 Tue Jul 28 18:01:31 2026 R1: 10334537022320704781521 Tue Jul 28 18:01:31 2026 A0: 12315554946067644830890230183025056548610 Tue Jul 28 18:01:31 2026 A1: -17290573610944287070307785352103479 Tue Jul 28 18:01:31 2026 A2: 1369887171925028193028889094 Tue Jul 28 18:01:31 2026 A3: -223483482365844791215 Tue Jul 28 18:01:31 2026 A4: -53540332547358 Tue Jul 28 18:01:31 2026 A5: 1164240 Tue Jul 28 18:01:31 2026 skew 10848942.22, size 7.678e-17, alpha -8.383, combined = 2.546e-13 rroots = 3 Tue Jul 28 18:01:31 2026 Tue Jul 28 18:01:31 2026 commencing relation filtering Tue Jul 28 18:01:31 2026 setting 3 target densities:Tue Jul 28 18:01:31 2026 90Tue Jul 28 18:01:31 2026 110Tue Jul 28 18:01:31 2026 130Tue Jul 28 18:01:31 2026 Tue Jul 28 18:01:31 2026 estimated available RAM is 78540.1 MB Tue Jul 28 18:01:31 2026 commencing duplicate removal, pass 1 Tue Jul 28 18:01:36 2026 error -1 reading relation 4755207 Tue Jul 28 18:01:54 2026 error -1 reading relation 27244275 Tue Jul 28 18:02:16 2026 error -1 reading relation 51203604 Tue Jul 28 18:02:16 2026 error -1 reading relation 51401416 Tue Jul 28 18:02:17 2026 error -1 reading relation 52161621 Tue Jul 28 18:02:33 2026 error -1 reading relation 68922101 Tue Jul 28 18:02:44 2026 error -1 reading relation 83665303 Tue Jul 28 18:03:03 2026 error -1 reading relation 102991760 Tue Jul 28 18:03:37 2026 error -1 reading relation 143005364 Tue Jul 28 18:03:57 2026 error -1 reading relation 163092395 Tue Jul 28 18:03:57 2026 error -1 reading relation 163257557 Tue Jul 28 18:03:58 2026 error -1 reading relation 164147396 Tue Jul 28 18:04:03 2026 error -1 reading relation 168862425 Tue Jul 28 18:04:07 2026 error -1 reading relation 175536522 Tue Jul 28 18:04:07 2026 error -1 reading relation 176399841 Tue Jul 28 18:04:13 2026 error -1 reading relation 183219218 Tue Jul 28 18:04:21 2026 error -1 reading relation 192333833 Tue Jul 28 18:04:39 2026 error -1 reading relation 214524585 Tue Jul 28 18:04:52 2026 error -1 reading relation 228788115 Tue Jul 28 18:04:55 2026 error -1 reading relation 231573279 Tue Jul 28 18:05:03 2026 error -1 reading relation 241989927 Tue Jul 28 18:05:08 2026 error -15 reading relation 248224657 Tue Jul 28 18:05:08 2026 error -1 reading relation 248313812 Tue Jul 28 18:05:12 2026 error -1 reading relation 252657241 Tue Jul 28 18:05:12 2026 error -1 reading relation 252670799 Tue Jul 28 18:05:14 2026 error -1 reading relation 254962058 Tue Jul 28 18:05:15 2026 error -1 reading relation 256493500 Tue Jul 28 18:05:18 2026 error -1 reading relation 258901500 Tue Jul 28 18:05:25 2026 error -1 reading relation 266710545 Tue Jul 28 18:05:25 2026 error -1 reading relation 266722655 Tue Jul 28 18:05:28 2026 error -1 reading relation 269407105 Tue Jul 28 18:05:32 2026 error -1 reading relation 275572002 Tue Jul 28 18:05:34 2026 error -1 reading relation 277192123 Tue Jul 28 18:05:34 2026 error -1 reading relation 277730253 Tue Jul 28 18:05:37 2026 error -1 reading relation 280209483 Tue Jul 28 18:05:38 2026 error -1 reading relation 280797433 Tue Jul 28 18:05:42 2026 error -1 reading relation 284787059 Tue Jul 28 18:05:44 2026 error -1 reading relation 286890049 Tue Jul 28 18:05:44 2026 error -1 reading relation 287039716 Tue Jul 28 18:05:46 2026 error -1 reading relation 289227613 Tue Jul 28 18:05:47 2026 error -1 reading relation 289335649 Tue Jul 28 18:05:52 2026 error -1 reading relation 294345667 Tue Jul 28 18:05:56 2026 error -1 reading relation 298541289 Tue Jul 28 18:06:01 2026 error -1 reading relation 303169709 Tue Jul 28 18:06:04 2026 error -1 reading relation 308348253 Tue Jul 28 18:06:16 2026 error -1 reading relation 319756873 Tue Jul 28 18:06:16 2026 error -1 reading relation 319862060 Tue Jul 28 18:06:18 2026 skipped 1 relations with b > 2^32 Tue Jul 28 18:06:18 2026 skipped 457 malformed relations Tue Jul 28 18:06:18 2026 found 63247075 hash collisions in 321717179 relations Tue Jul 28 18:06:32 2026 added 122015 free relations Tue Jul 28 18:06:32 2026 commencing duplicate removal, pass 2 Tue Jul 28 18:08:28 2026 found 66685556 duplicates and 255153638 unique relations Tue Jul 28 18:08:28 2026 memory use: 1705.5 MB Tue Jul 28 18:08:28 2026 reading ideals above 188022784 Tue Jul 28 18:08:28 2026 commencing singleton removal, initial pass Tue Jul 28 18:14:31 2026 memory use: 6024.0 MB Tue Jul 28 18:14:31 2026 reading all ideals from disk Tue Jul 28 18:14:33 2026 memory use: 6427.7 MB Tue Jul 28 18:15:13 2026 commencing in-memory singleton removal Tue Jul 28 18:15:15 2026 begin with 255153638 relations and 222706985 unique ideals Tue Jul 28 18:15:28 2026 reduce to 151197474 relations and 107182260 ideals in 16 passes Tue Jul 28 18:15:28 2026 max relations containing the same ideal: 26 Tue Jul 28 18:15:31 2026 reading ideals above 720000 Tue Jul 28 18:15:31 2026 commencing singleton removal, initial pass Tue Jul 28 18:21:21 2026 memory use: 3012.0 MB Tue Jul 28 18:21:21 2026 reading all ideals from disk Tue Jul 28 18:21:25 2026 memory use: 7140.7 MB Tue Jul 28 18:21:33 2026 keeping 127329766 ideals with weight <= 200, target excess is 750712 Tue Jul 28 18:21:45 2026 commencing in-memory singleton removal Tue Jul 28 18:21:47 2026 begin with 151197474 relations and 127329766 unique ideals Tue Jul 28 18:21:57 2026 reduce to 151148728 relations and 127281013 ideals in 10 passes Tue Jul 28 18:21:57 2026 max relations containing the same ideal: 200 Tue Jul 28 18:22:45 2026 removing 12464763 relations and 10464763 ideals in 2000000 cliques Tue Jul 28 18:22:48 2026 commencing in-memory singleton removal Tue Jul 28 18:22:50 2026 begin with 138683965 relations and 127281013 unique ideals Tue Jul 28 18:22:58 2026 reduce to 137877172 relations and 115995537 ideals in 9 passes Tue Jul 28 18:22:58 2026 max relations containing the same ideal: 197 Tue Jul 28 18:23:52 2026 removing 9525376 relations and 7525376 ideals in 2000000 cliques Tue Jul 28 18:23:53 2026 commencing in-memory singleton removal Tue Jul 28 18:23:55 2026 begin with 128351796 relations and 115995537 unique ideals Tue Jul 28 18:24:04 2026 reduce to 127814847 relations and 107925092 ideals in 8 passes Tue Jul 28 18:24:04 2026 max relations containing the same ideal: 188 Tue Jul 28 18:24:40 2026 removing 8632749 relations and 6632749 ideals in 2000000 cliques Tue Jul 28 18:24:43 2026 commencing in-memory singleton removal Tue Jul 28 18:24:44 2026 begin with 119182098 relations and 107925092 unique ideals Tue Jul 28 18:24:52 2026 reduce to 118697859 relations and 100800962 ideals in 8 passes Tue Jul 28 18:24:52 2026 max relations containing the same ideal: 181 Tue Jul 28 18:25:23 2026 removing 8184872 relations and 6184872 ideals in 2000000 cliques Tue Jul 28 18:25:25 2026 commencing in-memory singleton removal Tue Jul 28 18:25:27 2026 begin with 110512987 relations and 100800962 unique ideals Tue Jul 28 18:25:34 2026 reduce to 110049692 relations and 94145534 ideals in 8 passes Tue Jul 28 18:25:34 2026 max relations containing the same ideal: 174 Tue Jul 28 18:26:05 2026 removing 7916836 relations and 5916836 ideals in 2000000 cliques Tue Jul 28 18:26:07 2026 commencing in-memory singleton removal Tue Jul 28 18:26:08 2026 begin with 102132856 relations and 94145534 unique ideals Tue Jul 28 18:26:14 2026 reduce to 101668351 relations and 87756481 ideals in 7 passes Tue Jul 28 18:26:14 2026 max relations containing the same ideal: 167 Tue Jul 28 18:26:44 2026 removing 7754229 relations and 5754229 ideals in 2000000 cliques Tue Jul 28 18:26:46 2026 commencing in-memory singleton removal Tue Jul 28 18:26:47 2026 begin with 93914122 relations and 87756481 unique ideals Tue Jul 28 18:26:54 2026 reduce to 93436130 relations and 81515707 ideals in 8 passes Tue Jul 28 18:26:54 2026 max relations containing the same ideal: 157 Tue Jul 28 18:27:21 2026 removing 7654144 relations and 5654144 ideals in 2000000 cliques Tue Jul 28 18:27:23 2026 commencing in-memory singleton removal Tue Jul 28 18:27:21 2026 begin with 85781986 relations and 81515707 unique ideals Tue Jul 28 18:27:27 2026 reduce to 85278905 relations and 75348937 ideals in 8 passes Tue Jul 28 18:27:27 2026 max relations containing the same ideal: 147 Tue Jul 28 18:27:53 2026 removing 7609811 relations and 5609811 ideals in 2000000 cliques Tue Jul 28 18:27:56 2026 commencing in-memory singleton removal Tue Jul 28 18:27:56 2026 begin with 77669094 relations and 75348937 unique ideals Tue Jul 28 18:28:02 2026 reduce to 77131196 relations and 69190244 ideals in 9 passes Tue Jul 28 18:28:02 2026 max relations containing the same ideal: 136 Tue Jul 28 18:28:25 2026 removing 7603409 relations and 5603409 ideals in 2000000 cliques Tue Jul 28 18:28:27 2026 commencing in-memory singleton removal Tue Jul 28 18:28:28 2026 begin with 69527787 relations and 69190244 unique ideals Tue Jul 28 18:28:33 2026 reduce to 68936108 relations and 62982068 ideals in 8 passes Tue Jul 28 18:28:33 2026 max relations containing the same ideal: 129 Tue Jul 28 18:28:54 2026 removing 7622103 relations and 5622103 ideals in 2000000 cliques Tue Jul 28 18:28:55 2026 commencing in-memory singleton removal Tue Jul 28 18:28:56 2026 begin with 61314005 relations and 62982068 unique ideals Tue Jul 28 18:29:00 2026 reduce to 60653638 relations and 56683185 ideals in 8 passes Tue Jul 28 18:29:00 2026 max relations containing the same ideal: 116 Tue Jul 28 18:29:22 2026 removing 7677375 relations and 5677375 ideals in 2000000 cliques Tue Jul 28 18:29:21 2026 commencing in-memory singleton removal Tue Jul 28 18:29:22 2026 begin with 52976263 relations and 56683185 unique ideals Tue Jul 28 18:29:25 2026 reduce to 52220968 relations and 50229140 ideals in 8 passes Tue Jul 28 18:29:25 2026 max relations containing the same ideal: 103 Tue Jul 28 18:29:42 2026 removing 4927156 relations and 3806154 ideals in 1121002 cliques Tue Jul 28 18:29:44 2026 commencing in-memory singleton removal Tue Jul 28 18:29:44 2026 begin with 47293812 relations and 50229140 unique ideals Tue Jul 28 18:29:47 2026 reduce to 46955040 relations and 46077838 ideals in 9 passes Tue Jul 28 18:29:47 2026 max relations containing the same ideal: 97 Tue Jul 28 18:30:02 2026 trying target density 90 Tue Jul 28 18:30:06 2026 relations with 0 large ideals: 2837 Tue Jul 28 18:30:06 2026 relations with 1 large ideals: 8395 Tue Jul 28 18:30:06 2026 relations with 2 large ideals: 143083 Tue Jul 28 18:30:06 2026 relations with 3 large ideals: 1027324 Tue Jul 28 18:30:06 2026 relations with 4 large ideals: 3960331 Tue Jul 28 18:30:06 2026 relations with 5 large ideals: 9043738 Tue Jul 28 18:30:06 2026 relations with 6 large ideals: 12870835 Tue Jul 28 18:30:06 2026 relations with 7+ large ideals: 19898497 Tue Jul 28 18:30:06 2026 commencing 2-way merge Tue Jul 28 18:30:28 2026 reduce to 29398305 relation sets and 28521103 unique ideals Tue Jul 28 18:30:28 2026 commencing full merge Tue Jul 28 18:36:58 2026 memory use: 3487.1 MB Tue Jul 28 18:37:01 2026 found 14633726 cycles, need 14517303 Tue Jul 28 18:37:05 2026 weight of 14517303 cycles is about 1307019188 (90.03/cycle) Tue Jul 28 18:37:05 2026 distribution of cycle lengths: Tue Jul 28 18:37:05 2026 1 relations: 1307080 Tue Jul 28 18:37:05 2026 2 relations: 1426970 Tue Jul 28 18:37:05 2026 3 relations: 1458683 Tue Jul 28 18:37:05 2026 4 relations: 1380472 Tue Jul 28 18:37:05 2026 5 relations: 1322293 Tue Jul 28 18:37:05 2026 6 relations: 1243607 Tue Jul 28 18:37:05 2026 7 relations: 1144866 Tue Jul 28 18:37:05 2026 8 relations: 1020201 Tue Jul 28 18:37:05 2026 9 relations: 893092 Tue Jul 28 18:37:05 2026 10+ relations: 3320039 Tue Jul 28 18:37:05 2026 heaviest cycle: 23 relations Tue Jul 28 18:37:07 2026 commencing cycle optimization Tue Jul 28 18:37:26 2026 start with 94518795 relations Tue Jul 28 18:39:28 2026 pruned 2917413 relations Tue Jul 28 18:39:30 2026 memory use: 2906.3 MB Tue Jul 28 18:39:30 2026 distribution of cycle lengths: Tue Jul 28 18:39:30 2026 1 relations: 1307080 Tue Jul 28 18:39:30 2026 2 relations: 1460364 Tue Jul 28 18:39:30 2026 3 relations: 1513866 Tue Jul 28 18:39:30 2026 4 relations: 1422753 Tue Jul 28 18:39:30 2026 5 relations: 1367818 Tue Jul 28 18:39:30 2026 6 relations: 1278721 Tue Jul 28 18:39:30 2026 7 relations: 1175166 Tue Jul 28 18:39:30 2026 8 relations: 1040493 Tue Jul 28 18:39:30 2026 9 relations: 901405 Tue Jul 28 18:39:30 2026 10+ relations: 3049637 Tue Jul 28 18:39:30 2026 heaviest cycle: 23 relations Tue Jul 28 18:39:51 2026 trying target density 110 Tue Jul 28 18:39:55 2026 relations with 0 large ideals: 2837 Tue Jul 28 18:39:55 2026 relations with 1 large ideals: 8395 Tue Jul 28 18:39:55 2026 relations with 2 large ideals: 143083 Tue Jul 28 18:39:55 2026 relations with 3 large ideals: 1027324 Tue Jul 28 18:39:55 2026 relations with 4 large ideals: 3960331 Tue Jul 28 18:39:55 2026 relations with 5 large ideals: 9043738 Tue Jul 28 18:39:55 2026 relations with 6 large ideals: 12870835 Tue Jul 28 18:39:55 2026 relations with 7+ large ideals: 19898497 Tue Jul 28 18:39:55 2026 commencing 2-way merge Tue Jul 28 18:40:14 2026 reduce to 29398305 relation sets and 28521103 unique ideals Tue Jul 28 18:40:14 2026 commencing full merge Tue Jul 28 18:48:16 2026 memory use: 3585.2 MB Tue Jul 28 18:48:19 2026 found 13656830 cycles, need 13581303 Tue Jul 28 18:48:22 2026 weight of 13581303 cycles is about 1494138379 (110.01/cycle) Tue Jul 28 18:48:22 2026 distribution of cycle lengths: Tue Jul 28 18:48:22 2026 1 relations: 827958 Tue Jul 28 18:48:22 2026 2 relations: 1057281 Tue Jul 28 18:48:22 2026 3 relations: 1138369 Tue Jul 28 18:48:22 2026 4 relations: 1104204 Tue Jul 28 18:48:22 2026 5 relations: 1077570 Tue Jul 28 18:48:22 2026 6 relations: 1040500 Tue Jul 28 18:48:22 2026 7 relations: 984414 Tue Jul 28 18:48:22 2026 8 relations: 926818 Tue Jul 28 18:48:22 2026 9 relations: 851900 Tue Jul 28 18:48:22 2026 10+ relations: 4572289 Tue Jul 28 18:48:22 2026 heaviest cycle: 28 relations Tue Jul 28 18:48:25 2026 commencing cycle optimization Tue Jul 28 18:48:46 2026 start with 107711633 relations Tue Jul 28 18:51:32 2026 pruned 4098433 relations Tue Jul 28 18:51:33 2026 memory use: 3046.6 MB Tue Jul 28 18:51:33 2026 distribution of cycle lengths: Tue Jul 28 18:51:33 2026 1 relations: 827958 Tue Jul 28 18:51:33 2026 2 relations: 1084059 Tue Jul 28 18:51:33 2026 3 relations: 1184733 Tue Jul 28 18:51:33 2026 4 relations: 1143506 Tue Jul 28 18:51:33 2026 5 relations: 1122076 Tue Jul 28 18:51:33 2026 6 relations: 1078461 Tue Jul 28 18:51:33 2026 7 relations: 1022607 Tue Jul 28 18:51:33 2026 8 relations: 957612 Tue Jul 28 18:51:33 2026 9 relations: 876481 Tue Jul 28 18:51:33 2026 10+ relations: 4283810 Tue Jul 28 18:51:33 2026 heaviest cycle: 28 relations Tue Jul 28 18:51:53 2026 trying target density 130 Tue Jul 28 18:51:57 2026 relations with 0 large ideals: 2837 Tue Jul 28 18:51:57 2026 relations with 1 large ideals: 8395 Tue Jul 28 18:51:57 2026 relations with 2 large ideals: 143083 Tue Jul 28 18:51:57 2026 relations with 3 large ideals: 1027324 Tue Jul 28 18:51:57 2026 relations with 4 large ideals: 3960331 Tue Jul 28 18:51:57 2026 relations with 5 large ideals: 9043738 Tue Jul 28 18:51:57 2026 relations with 6 large ideals: 12870835 Tue Jul 28 18:51:57 2026 relations with 7+ large ideals: 19898497 Tue Jul 28 18:51:57 2026 commencing 2-way merge Tue Jul 28 18:52:18 2026 reduce to 29398305 relation sets and 28521103 unique ideals Tue Jul 28 18:52:18 2026 commencing full merge Tue Jul 28 19:09:17 2026 memory use: 1319.8 MB Tue Jul 28 19:09:17 2026 found 31303 cycles, need 6246412 Tue Jul 28 19:09:17 2026 too few cycles, matrix probably cannot build Tue Jul 28 19:09:20 2026 RelProcTime: 4069 Tue Jul 28 19:09:20 2026 Tue Jul 28 19:09:20 2026 commencing linear algebra Tue Jul 28 19:09:20 2026 using VBITS=256 Tue Jul 28 19:09:20 2026 building matrices for all densities Tue Jul 28 19:09:20 2026 found 2 density files Tue Jul 28 19:09:20 2026 building matrix for density 90 Tue Jul 28 19:09:22 2026 read 14517303 cycles Tue Jul 28 19:09:41 2026 cycles contain 46339140 unique relations Tue Jul 28 19:15:36 2026 read 46339140 relations Tue Jul 28 19:15:44 2026 using 20 quadratic characters above 4294917295 Tue Jul 28 19:15:55 2026 building initial matrix Tue Jul 28 19:21:40 2026 memory use: 6477.4 MB Tue Jul 28 19:21:45 2026 read 14517303 cycles Tue Jul 28 19:21:47 2026 matrix is 14517126 x 14517303 (5422.2 MB) with weight 1688458949 (116.31/col) Tue Jul 28 19:21:47 2026 sparse part has weight 1247190743 (85.91/col) Tue Jul 28 19:23:26 2026 filtering completed in 2 passes Tue Jul 28 19:23:28 2026 matrix is 14514828 x 14515004 (5422.0 MB) with weight 1688362890 (116.32/col) Tue Jul 28 19:23:28 2026 sparse part has weight 1247166135 (85.92/col) Tue Jul 28 19:23:52 2026 building matrix for density 110 Tue Jul 28 19:23:53 2026 read 13581303 cycles Tue Jul 28 19:24:07 2026 cycles contain 46348036 unique relations Tue Jul 28 19:25:05 2026 read 46348036 relations Tue Jul 28 19:25:13 2026 using 20 quadratic characters above 4294917295 Tue Jul 28 19:25:24 2026 building initial matrix Tue Jul 28 19:32:21 2026 memory use: 6495.7 MB Tue Jul 28 19:32:26 2026 read 13581303 cycles Tue Jul 28 19:32:28 2026 matrix is 13581126 x 13581303 (5986.0 MB) with weight 1845333867 (135.87/col) Tue Jul 28 19:32:28 2026 sparse part has weight 1406208047 (103.54/col) Tue Jul 28 19:34:02 2026 filtering completed in 2 passes Tue Jul 28 19:34:05 2026 matrix is 13580308 x 13580484 (5985.9 MB) with weight 1845295748 (135.88/col) Tue Jul 28 19:34:05 2026 sparse part has weight 1406197671 (103.55/col) Tue Jul 28 19:34:32 2026 BLanczosTime: 1512 Tue Jul 28 19:34:32 2026 elapsed time 01:33:01 Wed Jul 29 00:09:07 2026 Wed Jul 29 00:09:07 2026 Wed Jul 29 00:09:07 2026 Msieve v. 1.54 (SVN unknown) Wed Jul 29 00:09:07 2026 random seeds: 2e05ff06 9fb20d6d Wed Jul 29 00:09:07 2026 Using 8 OpenMP threads Wed Jul 29 00:09:07 2026 factoring 5608106082730473612086249609500390919477339700061515259007987253343974384954916312105094962624302281927432379863949572237897843009195512217715782647799252530207597152919087471 (175 digits) Wed Jul 29 00:09:07 2026 no P-1/P+1/ECM available, skipping Wed Jul 29 00:09:07 2026 commencing number field sieve (175-digit input) Wed Jul 29 00:09:07 2026 R0: -7801718609313819188945669647619128 Wed Jul 29 00:09:07 2026 R1: 10334537022320704781521 Wed Jul 29 00:09:07 2026 A0: 12315554946067644830890230183025056548610 Wed Jul 29 00:09:07 2026 A1: -17290573610944287070307785352103479 Wed Jul 29 00:09:07 2026 A2: 1369887171925028193028889094 Wed Jul 29 00:09:07 2026 A3: -223483482365844791215 Wed Jul 29 00:09:07 2026 A4: -53540332547358 Wed Jul 29 00:09:07 2026 A5: 1164240 Wed Jul 29 00:09:07 2026 skew 10848942.22, size 7.678e-17, alpha -8.383, combined = 2.546e-13 rroots = 3 Wed Jul 29 00:09:07 2026 Wed Jul 29 00:09:07 2026 commencing linear algebra Wed Jul 29 00:09:07 2026 using VBITS=256 Wed Jul 29 00:09:07 2026 skipping matrix build Wed Jul 29 00:09:11 2026 matrix starts at (0, 0) Wed Jul 29 00:09:13 2026 matrix is 13580308 x 13580484 (5985.9 MB) with weight 1845295748 (135.88/col) Wed Jul 29 00:09:13 2026 sparse part has weight 1406197671 (103.55/col) Wed Jul 29 00:09:13 2026 saving the first 240 matrix rows for later Wed Jul 29 00:09:15 2026 matrix includes 256 packed rows Wed Jul 29 00:09:19 2026 matrix is 13580068 x 13580484 (5433.0 MB) with weight 1288538845 (94.88/col) Wed Jul 29 00:09:19 2026 sparse part has weight 1206930457 (88.87/col) Wed Jul 29 00:09:19 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Wed Jul 29 00:09:19 2026 selected card has CUDA arch 12.0 Wed Jul 29 00:09:20 2026 computed block_nnz 139784227 (L2 cache 100663296 bytes, average column weight 88.9) Wed Jul 29 00:09:20 2026 nonzeros per matrix block: 256000000 Wed Jul 29 00:10:33 2026 commencing Lanczos iteration Wed Jul 29 00:10:34 2026 memory use: 13041.8 MB Wed Jul 29 00:10:44 2026 linear algebra at 0.2%, ETA 1h 6m Wed Jul 29 00:10:59 2026 checking every 190000 dimensions, checkpointing every 11590000 dimensions Wed Jul 29 01:24:38 2026 lanczos halted after 53206 iterations (dim = 13580068) Wed Jul 29 01:25:13 2026 recovered 31 nontrivial dependencies Wed Jul 29 01:25:14 2026 BLanczosTime: 4567 Wed Jul 29 01:25:14 2026 elapsed time 01:16:07 Tue Jul 28 21:36:06 2026 Tue Jul 28 21:36:06 2026 Tue Jul 28 21:36:06 2026 Msieve v. 1.54 (SVN unknown) Tue Jul 28 21:36:06 2026 random seeds: 29291f25 f26615c4 Tue Jul 28 21:36:06 2026 Using 8 OpenMP threads Tue Jul 28 21:36:06 2026 factoring 5608106082730473612086249609500390919477339700061515259007987253343974384954916312105094962624302281927432379863949572237897843009195512217715782647799252530207597152919087471 (175 digits) Tue Jul 28 21:36:07 2026 no P-1/P+1/ECM available, skipping Tue Jul 28 21:36:07 2026 commencing number field sieve (175-digit input) Tue Jul 28 21:36:07 2026 R0: -7801718609313819188945669647619128 Tue Jul 28 21:36:07 2026 R1: 10334537022320704781521 Tue Jul 28 21:36:07 2026 A0: 12315554946067644830890230183025056548610 Tue Jul 28 21:36:07 2026 A1: -17290573610944287070307785352103479 Tue Jul 28 21:36:07 2026 A2: 1369887171925028193028889094 Tue Jul 28 21:36:07 2026 A3: -223483482365844791215 Tue Jul 28 21:36:07 2026 A4: -53540332547358 Tue Jul 28 21:36:07 2026 A5: 1164240 Tue Jul 28 21:36:07 2026 skew 10848942.22, size 7.678e-17, alpha -8.383, combined = 2.546e-13 rroots = 3 Tue Jul 28 21:36:07 2026 Tue Jul 28 21:36:07 2026 commencing square root phase Tue Jul 28 21:36:07 2026 reading relations for dependency 1 Tue Jul 28 21:36:08 2026 read 6787388 cycles Tue Jul 28 21:36:18 2026 cycles contain 23161504 unique relations Tue Jul 28 21:45:29 2026 read 23161504 relations Tue Jul 28 21:46:52 2026 multiplying 23161504 relations Tue Jul 28 21:49:49 2026 multiply complete, coefficients have about 1347.02 million bits Tue Jul 28 21:49:50 2026 initial square root is modulo 1102663 Tue Jul 28 21:55:50 2026 GCD is N, no factor found Tue Jul 28 21:55:50 2026 reading relations for dependency 2 Tue Jul 28 21:55:51 2026 read 6790378 cycles Tue Jul 28 21:56:01 2026 cycles contain 23175582 unique relations Tue Jul 28 21:57:14 2026 read 23175582 relations Tue Jul 28 21:58:29 2026 multiplying 23175582 relations Tue Jul 28 22:01:19 2026 multiply complete, coefficients have about 1347.83 million bits Tue Jul 28 22:01:22 2026 initial square root is modulo 1111703 Tue Jul 28 22:06:28 2026 GCD is N, no factor found Tue Jul 28 22:06:28 2026 reading relations for dependency 3 Tue Jul 28 22:06:29 2026 read 6788540 cycles Tue Jul 28 22:06:37 2026 cycles contain 23171762 unique relations Tue Jul 28 22:06:57 2026 read 23171762 relations Tue Jul 28 22:08:06 2026 multiplying 23171762 relations Tue Jul 28 22:11:15 2026 multiply complete, coefficients have about 1347.63 million bits Tue Jul 28 22:11:18 2026 initial square root is modulo 1109431 Tue Jul 28 22:17:19 2026 GCD is 1, no factor found Tue Jul 28 22:17:19 2026 reading relations for dependency 4 Tue Jul 28 22:17:20 2026 read 6787192 cycles Tue Jul 28 22:17:31 2026 cycles contain 23170964 unique relations Tue Jul 28 22:18:14 2026 read 23170964 relations Tue Jul 28 22:19:31 2026 multiplying 23170964 relations Tue Jul 28 22:22:23 2026 multiply complete, coefficients have about 1347.57 million bits Tue Jul 28 22:22:26 2026 initial square root is modulo 1108781 Tue Jul 28 22:28:23 2026 GCD is 1, no factor found Tue Jul 28 22:28:23 2026 reading relations for dependency 5 Tue Jul 28 22:28:24 2026 read 6789408 cycles Tue Jul 28 22:28:31 2026 cycles contain 23174480 unique relations Tue Jul 28 22:29:09 2026 read 23174480 relations Tue Jul 28 22:30:22 2026 multiplying 23174480 relations Tue Jul 28 22:33:24 2026 multiply complete, coefficients have about 1347.77 million bits Tue Jul 28 22:33:27 2026 initial square root is modulo 1111067 Tue Jul 28 22:39:29 2026 sqrtTime: 3802 Tue Jul 28 22:39:29 2026 p65 factor: 96072557920371253525814343844032339181456896472793770518842658883 Tue Jul 28 22:39:29 2026 p110 factor: 58373652207518970864615321316862178775864026755913158580753149002812538307982395841998930923533254614505313637 Tue Jul 28 22:39:29 2026 elapsed time 01:03:23