Thu Oct 1 17:45:19 2026 Thu Oct 1 17:45:19 2026 Thu Oct 1 17:45:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Oct 1 17:45:19 2026 random seeds: 99ceb1ac 3f97c7c2 Thu Oct 1 17:45:19 2026 MPI process 0 of 1 Thu Oct 1 17:45:19 2026 Using 46 OpenMP threads Thu Oct 1 17:45:19 2026 factoring 458892513311611318862984201501069942457179786568588804075167412025635930533809770818410850639079111982600041886624888697707009553774579797857587114117638074343969848233791460604242928670762668478286437918714706297417599902159815776851025710670579155082323836795917349333431519436377878444200603772226648632086166389434459119312473 (330 digits) Thu Oct 1 17:45:21 2026 no P-1/P+1/ECM available, skipping Thu Oct 1 17:45:21 2026 commencing number field sieve (330-digit input) Thu Oct 1 17:45:21 2026 R0: -392318858461667547739736838950479151006397215279002157056 Thu Oct 1 17:45:21 2026 R1: 1 Thu Oct 1 17:45:21 2026 A0: 1 Thu Oct 1 17:45:21 2026 A1: 0 Thu Oct 1 17:45:21 2026 A2: 0 Thu Oct 1 17:45:21 2026 A3: 0 Thu Oct 1 17:45:21 2026 A4: 0 Thu Oct 1 17:45:21 2026 A5: 0 Thu Oct 1 17:45:21 2026 A6: 2 Thu Oct 1 17:45:21 2026 skew 1.25, size 1.395e-16, alpha 1.888, combined = 1.059e-16 rroots = 0 Thu Oct 1 17:45:21 2026 Thu Oct 1 17:45:21 2026 commencing relation filtering Thu Oct 1 17:45:21 2026 setting target matrix density to 110.0 Thu Oct 1 17:45:21 2026 estimated available RAM is 192068.7 MB Thu Oct 1 19:56:41 2026 staged savefile to /scratch/gchilders/msieve.dat (1075564.1 MB in 7880 sec) Thu Oct 1 19:56:41 2026 commencing duplicate removal, pass 1 Thu Oct 1 20:45:55 2026 found 1791754306 hash collisions in 7558608514 relations Thu Oct 1 20:46:11 2026 added 1218600 free relations Thu Oct 1 20:46:11 2026 commencing duplicate removal, pass 2 Thu Oct 1 22:18:10 2026 found 2104629777 duplicates and 5455197337 unique relations Thu Oct 1 22:18:10 2026 memory use: 83512.0 MB Thu Oct 1 22:18:17 2026 reading ideals above 3089825792 Thu Oct 1 22:18:17 2026 commencing singleton removal, initial pass Thu Oct 1 23:29:56 2026 LP64 contains 5455197337 relations and 5693239650 unique large ideals Thu Oct 1 23:29:56 2026 memory use: 141368.1 MB Thu Oct 1 23:30:09 2026 preparing 64-bit LP file for common filtering Thu Oct 1 23:30:09 2026 start with 5455197337 relations and 5693239650 ideals Fri Oct 2 00:08:09 2026 pass 1: found 2319078828 singletons; 3136118509 relations and 2823374959 ideals remain Fri Oct 2 00:26:07 2026 compacted LP dataset has 3136118509 relations and 2823374959 large ideals (64-bit source relation map active) Fri Oct 2 00:26:07 2026 reading all ideals from disk Fri Oct 2 00:27:19 2026 memory use: 78656.0 MB Fri Oct 2 00:27:58 2026 ideal weight profile: 2823374959 ideals, 3136118509 relations, base target excess 302293874, margin 10449676 Fri Oct 2 00:27:58 2026 weight <= 10: keep 2799730964, bury 23643995, target excess 325937869 Fri Oct 2 00:27:58 2026 weight <= 15: keep 2822530344, bury 844615, target excess 303138489 Fri Oct 2 00:27:58 2026 weight <= 20: keep 2823364172, bury 10787, target excess 302304661 Fri Oct 2 00:27:58 2026 weight <= 25: keep 2823374901, bury 58, target excess 302293932 Fri Oct 2 00:27:58 2026 weight <= 30: keep 2823374957, bury 2, target excess 302293876 Fri Oct 2 00:27:58 2026 weight <= 35: keep 2823374957, bury 2, target excess 302293876 Fri Oct 2 00:27:58 2026 weight <= 40: keep 2823374957, bury 2, target excess 302293876 Fri Oct 2 00:27:58 2026 weight <= 45: keep 2823374957, bury 2, target excess 302293876 Fri Oct 2 00:27:58 2026 weight <= 100: keep 2823374959, bury 0, target excess 302293874 Fri Oct 2 00:27:58 2026 weight <= 200: keep 2823374959, bury 0, target excess 302293874 Fri Oct 2 00:27:58 2026 warning: no ideal weight cap fits a margin of 10449676 Fri Oct 2 00:27:59 2026 commencing in-memory singleton removal Fri Oct 2 00:28:30 2026 begin with 3136118509 relations and 2823374959 unique ideals Fri Oct 2 00:28:30 2026 memory use: 21556.6 MB Fri Oct 2 00:31:13 2026 reduce to 1943472870 relations and 1540420326 ideals in 6 passes Fri Oct 2 00:31:13 2026 max relations containing the same ideal: 40 Fri Oct 2 00:32:47 2026 reading ideals above 720000 Fri Oct 2 00:32:49 2026 commencing singleton removal, initial pass Fri Oct 2 01:20:05 2026 LP64 contains 1943472870 relations and 1837374319 unique large ideals Fri Oct 2 01:20:05 2026 memory use: 67828.0 MB Fri Oct 2 01:20:13 2026 preparing 64-bit LP file for common filtering Fri Oct 2 01:20:13 2026 start with 1943472870 relations and 1837374319 ideals Fri Oct 2 01:27:18 2026 compacted LP dataset has 1943472870 relations and 1837374319 large ideals (64-bit source relation map active) Fri Oct 2 01:27:18 2026 reading all ideals from disk Fri Oct 2 01:29:08 2026 memory use: 109276.7 MB Fri Oct 2 01:30:17 2026 ideal weight profile: 1837374319 ideals, 1943472870 relations, base target excess 115920, margin 105982631 Fri Oct 2 01:30:17 2026 weight <= 10: keep 1606393165, bury 230981154, target excess 231097074 Fri Oct 2 01:30:17 2026 weight <= 15: keep 1659873720, bury 177500599, target excess 177616519 Fri Oct 2 01:30:17 2026 weight <= 20: keep 1710284782, bury 127089537, target excess 127205457 Fri Oct 2 01:30:17 2026 weight <= 25: keep 1745958333, bury 91415986, target excess 91531906 Fri Oct 2 01:30:17 2026 weight <= 30: keep 1765094774, bury 72279545, target excess 72395465 Fri Oct 2 01:30:17 2026 weight <= 35: keep 1775014508, bury 62359811, target excess 62475731 Fri Oct 2 01:30:17 2026 weight <= 40: keep 1780648137, bury 56726182, target excess 56842102 Fri Oct 2 01:30:17 2026 weight <= 45: keep 1784560795, bury 52813524, target excess 52929444 Fri Oct 2 01:30:17 2026 weight <= 100: keep 1814239022, bury 23135297, target excess 23251217 Fri Oct 2 01:30:17 2026 weight <= 200: keep 1826693216, bury 10681103, target excess 10797023 Fri Oct 2 01:30:17 2026 keeping 1710284782 ideals with weight <= 20, target excess is 127205457 Fri Oct 2 01:36:01 2026 commencing in-memory singleton removal Fri Oct 2 01:36:25 2026 begin with 1943472870 relations and 1710284782 unique ideals Fri Oct 2 01:36:25 2026 memory use: 13064.4 MB Fri Oct 2 01:36:50 2026 reduce to 1942321427 relations and 1709133250 ideals in 1 passes Fri Oct 2 01:36:50 2026 max relations containing the same ideal: 20 Fri Oct 2 01:47:33 2026 removing 47303268 relations and 45303269 ideals in 2000000 cliques Fri Oct 2 01:47:56 2026 commencing in-memory singleton removal Fri Oct 2 01:48:24 2026 begin with 1895018159 relations and 1709133250 unique ideals Fri Oct 2 01:48:24 2026 memory use: 13055.7 MB Fri Oct 2 01:48:49 2026 reduce to 1893796269 relations and 1662605085 ideals in 1 passes Fri Oct 2 01:48:49 2026 max relations containing the same ideal: 20 Fri Oct 2 01:59:00 2026 removing 33619418 relations and 31619418 ideals in 2000000 cliques Fri Oct 2 01:59:23 2026 commencing in-memory singleton removal Fri Oct 2 01:59:51 2026 begin with 1860176851 relations and 1662605085 unique ideals Fri Oct 2 01:59:51 2026 memory use: 12700.7 MB Fri Oct 2 02:00:14 2026 reduce to 1859537529 relations and 1630345204 ideals in 1 passes Fri Oct 2 02:00:14 2026 max relations containing the same ideal: 20 Fri Oct 2 02:11:18 2026 removing 29238574 relations and 27238574 ideals in 2000000 cliques Fri Oct 2 02:11:40 2026 commencing in-memory singleton removal Fri Oct 2 02:12:08 2026 begin with 1830298955 relations and 1630345204 unique ideals Fri Oct 2 02:12:08 2026 memory use: 12454.5 MB Fri Oct 2 02:12:31 2026 reduce to 1829807194 relations and 1602614083 ideals in 1 passes Fri Oct 2 02:12:31 2026 max relations containing the same ideal: 20 Fri Oct 2 02:24:04 2026 removing 26696680 relations and 24696680 ideals in 2000000 cliques Fri Oct 2 02:24:32 2026 commencing in-memory singleton removal Fri Oct 2 02:24:59 2026 begin with 1803110514 relations and 1602614083 unique ideals Fri Oct 2 02:24:59 2026 memory use: 12243.0 MB Fri Oct 2 02:25:22 2026 reduce to 1802695689 relations and 1577501986 ideals in 1 passes Fri Oct 2 02:25:22 2026 max relations containing the same ideal: 20 Fri Oct 2 02:35:22 2026 removing 24948058 relations and 22948058 ideals in 2000000 cliques Fri Oct 2 02:35:50 2026 commencing in-memory singleton removal Fri Oct 2 02:36:16 2026 begin with 1777747631 relations and 1577501986 unique ideals Fri Oct 2 02:36:16 2026 memory use: 12051.4 MB Fri Oct 2 02:36:40 2026 reduce to 1777382558 relations and 1554188289 ideals in 1 passes Fri Oct 2 02:36:40 2026 max relations containing the same ideal: 20 Fri Oct 2 02:45:48 2026 removing 23631304 relations and 21631304 ideals in 2000000 cliques Fri Oct 2 02:46:15 2026 commencing in-memory singleton removal Fri Oct 2 02:46:41 2026 begin with 1753751254 relations and 1554188289 unique ideals Fri Oct 2 02:46:41 2026 memory use: 11873.5 MB Fri Oct 2 02:47:03 2026 reduce to 1753421218 relations and 1532226529 ideals in 1 passes Fri Oct 2 02:47:03 2026 max relations containing the same ideal: 20 Fri Oct 2 02:55:44 2026 removing 22583390 relations and 20583390 ideals in 2000000 cliques Fri Oct 2 02:56:11 2026 commencing in-memory singleton removal Fri Oct 2 02:56:38 2026 begin with 1730837828 relations and 1532226529 unique ideals Fri Oct 2 02:56:38 2026 memory use: 11706.0 MB Fri Oct 2 02:57:00 2026 reduce to 1730532252 relations and 1511337130 ideals in 1 passes Fri Oct 2 02:57:00 2026 max relations containing the same ideal: 20 Fri Oct 2 03:07:28 2026 removing 21751182 relations and 19751182 ideals in 2000000 cliques Fri Oct 2 03:07:55 2026 commencing in-memory singleton removal Fri Oct 2 03:08:18 2026 begin with 1708781070 relations and 1511337130 unique ideals Fri Oct 2 03:08:18 2026 memory use: 11546.6 MB Fri Oct 2 03:08:38 2026 reduce to 1708496018 relations and 1491300488 ideals in 1 passes Fri Oct 2 03:08:38 2026 max relations containing the same ideal: 20 Fri Oct 2 03:17:28 2026 removing 21027255 relations and 19027255 ideals in 2000000 cliques Fri Oct 2 03:17:56 2026 commencing in-memory singleton removal Fri Oct 2 03:18:20 2026 begin with 1687468763 relations and 1491300488 unique ideals Fri Oct 2 03:18:20 2026 memory use: 11393.7 MB Fri Oct 2 03:18:41 2026 reduce to 1687197287 relations and 1472001401 ideals in 1 passes Fri Oct 2 03:18:41 2026 max relations containing the same ideal: 20 Fri Oct 2 03:27:06 2026 removing 20405099 relations and 18405099 ideals in 2000000 cliques Fri Oct 2 03:27:30 2026 commencing in-memory singleton removal Fri Oct 2 03:27:55 2026 begin with 1666792188 relations and 1472001401 unique ideals Fri Oct 2 03:27:55 2026 memory use: 11246.5 MB Fri Oct 2 03:28:15 2026 reduce to 1666535344 relations and 1453339097 ideals in 1 passes Fri Oct 2 03:28:15 2026 max relations containing the same ideal: 20 Fri Oct 2 03:36:22 2026 removing 19882986 relations and 17882986 ideals in 2000000 cliques Fri Oct 2 03:36:49 2026 commencing in-memory singleton removal Fri Oct 2 03:37:13 2026 begin with 1646652358 relations and 1453339097 unique ideals Fri Oct 2 03:37:13 2026 memory use: 11104.1 MB Fri Oct 2 03:37:33 2026 reduce to 1646406759 relations and 1435210163 ideals in 1 passes Fri Oct 2 03:37:33 2026 max relations containing the same ideal: 20 Fri Oct 2 03:45:26 2026 removing 19417265 relations and 17417265 ideals in 2000000 cliques Fri Oct 2 03:45:49 2026 commencing in-memory singleton removal Fri Oct 2 03:46:13 2026 begin with 1626989494 relations and 1435210163 unique ideals Fri Oct 2 03:46:13 2026 memory use: 10965.8 MB Fri Oct 2 03:46:33 2026 reduce to 1626754524 relations and 1417557606 ideals in 1 passes Fri Oct 2 03:46:33 2026 max relations containing the same ideal: 20 Fri Oct 2 03:54:22 2026 removing 18999868 relations and 16999868 ideals in 2000000 cliques Fri Oct 2 03:54:42 2026 commencing in-memory singleton removal Fri Oct 2 03:55:06 2026 begin with 1607754656 relations and 1417557606 unique ideals Fri Oct 2 03:55:06 2026 memory use: 10831.1 MB Fri Oct 2 03:55:26 2026 reduce to 1607525678 relations and 1400328431 ideals in 1 passes Fri Oct 2 03:55:26 2026 max relations containing the same ideal: 20 Fri Oct 2 04:03:06 2026 removing 18625682 relations and 16625682 ideals in 2000000 cliques Fri Oct 2 04:03:27 2026 commencing in-memory singleton removal Fri Oct 2 04:03:50 2026 begin with 1588899996 relations and 1400328431 unique ideals Fri Oct 2 04:03:50 2026 memory use: 10699.7 MB Fri Oct 2 04:04:10 2026 reduce to 1588677106 relations and 1383479534 ideals in 1 passes Fri Oct 2 04:04:10 2026 max relations containing the same ideal: 20 Fri Oct 2 04:11:42 2026 removing 18292545 relations and 16292545 ideals in 2000000 cliques Fri Oct 2 04:12:02 2026 commencing in-memory singleton removal Fri Oct 2 04:12:25 2026 begin with 1570384561 relations and 1383479534 unique ideals Fri Oct 2 04:12:25 2026 memory use: 10571.1 MB Fri Oct 2 04:12:45 2026 reduce to 1570168246 relations and 1366970395 ideals in 1 passes Fri Oct 2 04:12:45 2026 max relations containing the same ideal: 20 Fri Oct 2 04:21:30 2026 removing 17984347 relations and 15984347 ideals in 2000000 cliques Fri Oct 2 04:21:51 2026 commencing in-memory singleton removal Fri Oct 2 04:22:14 2026 begin with 1552183899 relations and 1366970395 unique ideals Fri Oct 2 04:22:14 2026 memory use: 10445.2 MB Fri Oct 2 04:22:32 2026 reduce to 1551973599 relations and 1350775469 ideals in 1 passes Fri Oct 2 04:22:32 2026 max relations containing the same ideal: 20 Fri Oct 2 04:30:05 2026 removing 17700355 relations and 15700355 ideals in 2000000 cliques Fri Oct 2 04:30:24 2026 commencing in-memory singleton removal Fri Oct 2 04:30:46 2026 begin with 1534273244 relations and 1350775469 unique ideals Fri Oct 2 04:30:46 2026 memory use: 10321.6 MB Fri Oct 2 04:31:07 2026 reduce to 1534066734 relations and 1334868310 ideals in 1 passes Fri Oct 2 04:31:07 2026 max relations containing the same ideal: 20 Fri Oct 2 04:39:33 2026 removing 17448667 relations and 15448667 ideals in 2000000 cliques Fri Oct 2 04:39:55 2026 commencing in-memory singleton removal Fri Oct 2 04:40:16 2026 begin with 1516618067 relations and 1334868310 unique ideals Fri Oct 2 04:40:16 2026 memory use: 10200.2 MB Fri Oct 2 04:40:35 2026 reduce to 1516415469 relations and 1319216760 ideals in 1 passes Fri Oct 2 04:40:35 2026 max relations containing the same ideal: 20 Fri Oct 2 04:48:23 2026 removing 17211730 relations and 15211730 ideals in 2000000 cliques Fri Oct 2 04:48:47 2026 commencing in-memory singleton removal Fri Oct 2 04:49:08 2026 begin with 1499203739 relations and 1319216760 unique ideals Fri Oct 2 04:49:08 2026 memory use: 10080.8 MB Fri Oct 2 04:49:27 2026 reduce to 1499002599 relations and 1303803624 ideals in 1 passes Fri Oct 2 04:49:27 2026 max relations containing the same ideal: 20 Fri Oct 2 04:57:07 2026 removing 16989627 relations and 14989627 ideals in 2000000 cliques Fri Oct 2 04:57:27 2026 commencing in-memory singleton removal Fri Oct 2 04:57:47 2026 begin with 1482012972 relations and 1303803624 unique ideals Fri Oct 2 04:57:47 2026 memory use: 9963.2 MB Fri Oct 2 04:58:06 2026 reduce to 1481816213 relations and 1288616972 ideals in 1 passes Fri Oct 2 04:58:06 2026 max relations containing the same ideal: 20 Fri Oct 2 05:05:33 2026 removing 16788762 relations and 14788762 ideals in 2000000 cliques Fri Oct 2 05:05:54 2026 commencing in-memory singleton removal Fri Oct 2 05:06:15 2026 begin with 1465027451 relations and 1288616972 unique ideals Fri Oct 2 05:06:15 2026 memory use: 9847.4 MB Fri Oct 2 05:06:34 2026 reduce to 1464832653 relations and 1273633131 ideals in 1 passes Fri Oct 2 05:06:34 2026 max relations containing the same ideal: 20 Fri Oct 2 05:13:29 2026 removing 16598330 relations and 14598330 ideals in 2000000 cliques Fri Oct 2 05:13:51 2026 commencing in-memory singleton removal Fri Oct 2 05:14:11 2026 begin with 1448234323 relations and 1273633131 unique ideals Fri Oct 2 05:14:11 2026 memory use: 9733.0 MB Fri Oct 2 05:14:29 2026 reduce to 1448042608 relations and 1258842814 ideals in 1 passes Fri Oct 2 05:14:29 2026 max relations containing the same ideal: 20 Fri Oct 2 05:21:09 2026 removing 16429950 relations and 14429950 ideals in 2000000 cliques Fri Oct 2 05:21:26 2026 commencing in-memory singleton removal Fri Oct 2 05:21:46 2026 begin with 1431612658 relations and 1258842814 unique ideals Fri Oct 2 05:21:46 2026 memory use: 9620.2 MB Fri Oct 2 05:22:03 2026 reduce to 1431424422 relations and 1244224344 ideals in 1 passes Fri Oct 2 05:22:03 2026 max relations containing the same ideal: 20 Fri Oct 2 05:28:41 2026 removing 16259973 relations and 14259973 ideals in 2000000 cliques Fri Oct 2 05:28:58 2026 commencing in-memory singleton removal Fri Oct 2 05:29:18 2026 begin with 1415164449 relations and 1244224344 unique ideals Fri Oct 2 05:29:18 2026 memory use: 9508.7 MB Fri Oct 2 05:29:35 2026 reduce to 1414976596 relations and 1229776257 ideals in 1 passes Fri Oct 2 05:29:35 2026 max relations containing the same ideal: 20 Fri Oct 2 05:35:55 2026 removing 16112330 relations and 14112330 ideals in 2000000 cliques Fri Oct 2 05:36:14 2026 commencing in-memory singleton removal Fri Oct 2 05:36:33 2026 begin with 1398864266 relations and 1229776257 unique ideals Fri Oct 2 05:36:33 2026 memory use: 9398.4 MB Fri Oct 2 05:36:49 2026 reduce to 1398678206 relations and 1215477593 ideals in 1 passes Fri Oct 2 05:36:49 2026 max relations containing the same ideal: 20 Fri Oct 2 05:43:05 2026 removing 15969801 relations and 13969801 ideals in 2000000 cliques Fri Oct 2 05:43:21 2026 commencing in-memory singleton removal Fri Oct 2 05:43:40 2026 begin with 1382708405 relations and 1215477593 unique ideals Fri Oct 2 05:43:40 2026 memory use: 9289.4 MB Fri Oct 2 05:43:57 2026 reduce to 1382523044 relations and 1201322159 ideals in 1 passes Fri Oct 2 05:43:57 2026 max relations containing the same ideal: 20 Fri Oct 2 05:50:11 2026 removing 15833093 relations and 13833093 ideals in 2000000 cliques Fri Oct 2 05:50:31 2026 commencing in-memory singleton removal Fri Oct 2 05:50:50 2026 begin with 1366689951 relations and 1201322159 unique ideals Fri Oct 2 05:50:50 2026 memory use: 9181.4 MB Fri Oct 2 05:51:06 2026 reduce to 1366505236 relations and 1187304113 ideals in 1 passes Fri Oct 2 05:51:06 2026 max relations containing the same ideal: 20 Fri Oct 2 05:57:14 2026 removing 15695194 relations and 13695194 ideals in 2000000 cliques Fri Oct 2 05:57:31 2026 commencing in-memory singleton removal Fri Oct 2 05:57:51 2026 begin with 1350810042 relations and 1187304113 unique ideals Fri Oct 2 05:57:51 2026 memory use: 9074.4 MB Fri Oct 2 05:58:08 2026 reduce to 1350626586 relations and 1173425149 ideals in 1 passes Fri Oct 2 05:58:08 2026 max relations containing the same ideal: 20 Fri Oct 2 06:04:58 2026 removing 15583511 relations and 13583511 ideals in 2000000 cliques Fri Oct 2 06:05:14 2026 commencing in-memory singleton removal Fri Oct 2 06:05:33 2026 begin with 1335043075 relations and 1173425149 unique ideals Fri Oct 2 06:05:33 2026 memory use: 8968.5 MB Fri Oct 2 06:05:49 2026 reduce to 1334861000 relations and 1159659298 ideals in 1 passes Fri Oct 2 06:05:49 2026 max relations containing the same ideal: 20 Fri Oct 2 06:11:54 2026 removing 15476469 relations and 13476469 ideals in 2000000 cliques Fri Oct 2 06:12:10 2026 commencing in-memory singleton removal Fri Oct 2 06:12:28 2026 begin with 1319384531 relations and 1159659298 unique ideals Fri Oct 2 06:12:28 2026 memory use: 8863.5 MB Fri Oct 2 06:12:44 2026 reduce to 1319202002 relations and 1145999999 ideals in 1 passes Fri Oct 2 06:12:44 2026 max relations containing the same ideal: 20 Fri Oct 2 06:18:51 2026 removing 15354851 relations and 13354851 ideals in 2000000 cliques Fri Oct 2 06:19:07 2026 commencing in-memory singleton removal Fri Oct 2 06:19:25 2026 begin with 1303847151 relations and 1145999999 unique ideals Fri Oct 2 06:19:25 2026 memory use: 8759.3 MB Fri Oct 2 06:19:41 2026 reduce to 1303665438 relations and 1132463140 ideals in 1 passes Fri Oct 2 06:19:41 2026 max relations containing the same ideal: 20 Fri Oct 2 06:25:26 2026 removing 15277526 relations and 13277526 ideals in 2000000 cliques Fri Oct 2 06:25:43 2026 commencing in-memory singleton removal Fri Oct 2 06:26:00 2026 begin with 1288387912 relations and 1132463140 unique ideals Fri Oct 2 06:26:00 2026 memory use: 8656.0 MB Fri Oct 2 06:26:16 2026 reduce to 1288208744 relations and 1119006172 ideals in 1 passes Fri Oct 2 06:26:16 2026 max relations containing the same ideal: 20 Fri Oct 2 06:32:00 2026 removing 15158150 relations and 13158150 ideals in 2000000 cliques Fri Oct 2 06:32:15 2026 commencing in-memory singleton removal Fri Oct 2 06:32:32 2026 begin with 1273050594 relations and 1119006172 unique ideals Fri Oct 2 06:32:32 2026 memory use: 8553.3 MB Fri Oct 2 06:32:47 2026 reduce to 1272870467 relations and 1105667601 ideals in 1 passes Fri Oct 2 06:32:47 2026 max relations containing the same ideal: 20 Fri Oct 2 06:38:22 2026 removing 15080059 relations and 13080059 ideals in 2000000 cliques Fri Oct 2 06:38:40 2026 commencing in-memory singleton removal Fri Oct 2 06:38:57 2026 begin with 1257790408 relations and 1105667601 unique ideals Fri Oct 2 06:38:57 2026 memory use: 8451.6 MB Fri Oct 2 06:39:12 2026 reduce to 1257611489 relations and 1092408349 ideals in 1 passes Fri Oct 2 06:39:12 2026 max relations containing the same ideal: 20 Fri Oct 2 06:44:42 2026 removing 14980780 relations and 12980780 ideals in 2000000 cliques Fri Oct 2 06:44:56 2026 commencing in-memory singleton removal Fri Oct 2 06:45:13 2026 begin with 1242630709 relations and 1092408349 unique ideals Fri Oct 2 06:45:13 2026 memory use: 8350.4 MB Fri Oct 2 06:45:28 2026 reduce to 1242449676 relations and 1079246249 ideals in 1 passes Fri Oct 2 06:45:28 2026 max relations containing the same ideal: 20 Fri Oct 2 06:50:53 2026 removing 14920240 relations and 12920240 ideals in 2000000 cliques Fri Oct 2 06:51:11 2026 commencing in-memory singleton removal Fri Oct 2 06:51:27 2026 begin with 1227529436 relations and 1079246249 unique ideals Fri Oct 2 06:51:27 2026 memory use: 8250.0 MB Fri Oct 2 06:51:42 2026 reduce to 1227348267 relations and 1066144547 ideals in 1 passes Fri Oct 2 06:51:42 2026 max relations containing the same ideal: 20 Fri Oct 2 06:57:01 2026 removing 14846350 relations and 12846350 ideals in 2000000 cliques Fri Oct 2 06:57:15 2026 commencing in-memory singleton removal Fri Oct 2 06:57:31 2026 begin with 1212501917 relations and 1066144547 unique ideals Fri Oct 2 06:57:31 2026 memory use: 8150.0 MB Fri Oct 2 06:57:45 2026 reduce to 1212319831 relations and 1053115804 ideals in 1 passes Fri Oct 2 06:57:45 2026 max relations containing the same ideal: 20 Fri Oct 2 07:03:08 2026 removing 14760614 relations and 12760614 ideals in 2000000 cliques Fri Oct 2 07:03:22 2026 commencing in-memory singleton removal Fri Oct 2 07:03:38 2026 begin with 1197559217 relations and 1053115804 unique ideals Fri Oct 2 07:03:38 2026 memory use: 8050.6 MB Fri Oct 2 07:03:52 2026 reduce to 1197377316 relations and 1040172954 ideals in 1 passes Fri Oct 2 07:03:52 2026 max relations containing the same ideal: 20 Fri Oct 2 07:09:08 2026 removing 14708669 relations and 12708669 ideals in 2000000 cliques Fri Oct 2 07:09:23 2026 commencing in-memory singleton removal Fri Oct 2 07:09:38 2026 begin with 1182668647 relations and 1040172954 unique ideals Fri Oct 2 07:09:38 2026 memory use: 7951.9 MB Fri Oct 2 07:09:52 2026 reduce to 1182488150 relations and 1027283506 ideals in 1 passes Fri Oct 2 07:09:52 2026 max relations containing the same ideal: 20 Fri Oct 2 07:14:57 2026 removing 14611634 relations and 12611634 ideals in 2000000 cliques Fri Oct 2 07:15:11 2026 commencing in-memory singleton removal Fri Oct 2 07:15:27 2026 begin with 1167876516 relations and 1027283506 unique ideals Fri Oct 2 07:15:27 2026 memory use: 7853.6 MB Fri Oct 2 07:15:41 2026 reduce to 1167692963 relations and 1014488027 ideals in 1 passes Fri Oct 2 07:15:41 2026 max relations containing the same ideal: 20 Fri Oct 2 07:20:37 2026 removing 14577407 relations and 12577407 ideals in 2000000 cliques Fri Oct 2 07:20:53 2026 commencing in-memory singleton removal Fri Oct 2 07:21:08 2026 begin with 1153115556 relations and 1014488027 unique ideals Fri Oct 2 07:21:08 2026 memory use: 7755.9 MB Fri Oct 2 07:21:23 2026 reduce to 1152930746 relations and 1001725476 ideals in 1 passes Fri Oct 2 07:21:23 2026 max relations containing the same ideal: 20 Fri Oct 2 07:26:13 2026 removing 14519854 relations and 12519854 ideals in 2000000 cliques Fri Oct 2 07:26:28 2026 commencing in-memory singleton removal Fri Oct 2 07:26:43 2026 begin with 1138410892 relations and 1001725476 unique ideals Fri Oct 2 07:26:43 2026 memory use: 7658.6 MB Fri Oct 2 07:26:57 2026 reduce to 1138225517 relations and 989019910 ideals in 1 passes Fri Oct 2 07:26:57 2026 max relations containing the same ideal: 20 Fri Oct 2 07:32:32 2026 removing 12261297 relations and 10614021 ideals in 1647276 cliques Fri Oct 2 07:32:45 2026 commencing in-memory singleton removal Fri Oct 2 07:33:00 2026 begin with 1125964220 relations and 989019910 unique ideals Fri Oct 2 07:33:00 2026 memory use: 7561.6 MB Fri Oct 2 07:33:13 2026 reduce to 1125831706 relations and 978273173 ideals in 1 passes Fri Oct 2 07:33:13 2026 max relations containing the same ideal: 20 Fri Oct 2 07:38:56 2026 relations with 0 large ideals: 15294461 Fri Oct 2 07:38:56 2026 relations with 1 large ideals: 92393449 Fri Oct 2 07:38:56 2026 relations with 2 large ideals: 249571774 Fri Oct 2 07:38:56 2026 relations with 3 large ideals: 354631754 Fri Oct 2 07:38:56 2026 relations with 4 large ideals: 279318135 Fri Oct 2 07:38:56 2026 relations with 5 large ideals: 115427378 Fri Oct 2 07:38:56 2026 relations with 6 large ideals: 19191793 Fri Oct 2 07:38:56 2026 relations with 7+ large ideals: 2962 Fri Oct 2 07:38:56 2026 commencing 2-way merge Fri Oct 2 07:47:21 2026 reduce to 635136823 relation sets and 487578290 unique ideals Fri Oct 2 07:47:21 2026 commencing full merge Fri Oct 2 09:16:56 2026 memory use: 44310.5 MB Fri Oct 2 09:17:07 2026 found 288119013 cycles, need 270008490 Fri Oct 2 09:18:24 2026 weight of 270008490 cycles is about 29701215684 (110.00/cycle) Fri Oct 2 09:18:24 2026 distribution of cycle lengths: Fri Oct 2 09:18:24 2026 1 relations: 30485463 Fri Oct 2 09:18:24 2026 2 relations: 26294019 Fri Oct 2 09:18:24 2026 3 relations: 25231030 Fri Oct 2 09:18:24 2026 4 relations: 23001029 Fri Oct 2 09:18:24 2026 5 relations: 21170993 Fri Oct 2 09:18:24 2026 6 relations: 18558041 Fri Oct 2 09:18:24 2026 7 relations: 17196410 Fri Oct 2 09:18:24 2026 8 relations: 15228262 Fri Oct 2 09:18:24 2026 9 relations: 13527957 Fri Oct 2 09:18:24 2026 10+ relations: 79315286 Fri Oct 2 09:18:24 2026 heaviest cycle: 21 relations Fri Oct 2 09:18:36 2026 commencing cycle optimization Fri Oct 2 09:25:41 2026 start with 1909165825 relations Fri Oct 2 10:17:02 2026 pruned 50680140 relations Fri Oct 2 10:17:05 2026 memory use: 63799.0 MB Fri Oct 2 10:17:10 2026 distribution of cycle lengths: Fri Oct 2 10:17:10 2026 1 relations: 30485463 Fri Oct 2 10:17:10 2026 2 relations: 26941620 Fri Oct 2 10:17:10 2026 3 relations: 26183302 Fri Oct 2 10:17:10 2026 4 relations: 23636192 Fri Oct 2 10:17:10 2026 5 relations: 21743489 Fri Oct 2 10:17:10 2026 6 relations: 18962838 Fri Oct 2 10:17:10 2026 7 relations: 17487642 Fri Oct 2 10:17:10 2026 8 relations: 15399444 Fri Oct 2 10:17:10 2026 9 relations: 13682659 Fri Oct 2 10:17:10 2026 10+ relations: 75485841 Fri Oct 2 10:17:10 2026 heaviest cycle: 21 relations Fri Oct 2 10:19:00 2026 RelProcTime: 59619 Fri Oct 2 10:19:00 2026 Fri Oct 2 10:19:00 2026 commencing linear algebra Fri Oct 2 10:19:00 2026 using VBITS=128 Fri Oct 2 10:19:00 2026 stopping after matrix build Fri Oct 2 10:19:00 2026 initialized process (0,0) of 1 x 1 grid Fri Oct 2 10:19:29 2026 read 270008490 cycles Fri Oct 2 10:30:40 2026 cycles contain 999135811 unique relations Fri Oct 2 10:56:46 2026 read 999135811 relations Fri Oct 2 10:58:27 2026 using 20 quadratic characters above 4294917295 Fri Oct 2 11:00:33 2026 building initial matrix Fri Oct 2 11:12:12 2026 memory use: 132963.2 MB Fri Oct 2 11:17:44 2026 read 270008490 cycles Fri Oct 2 11:18:27 2026 matrix is 269979876 x 270008490 (119668.0 MB) with weight 34177447608 (126.58/col) Fri Oct 2 11:18:27 2026 sparse part has weight 28400141839 (105.18/col) Fri Oct 2 12:16:26 2026 filtering completed in 3 passes Fri Oct 2 12:17:24 2026 matrix is 267770860 x 267771052 (119210.4 MB) with weight 34031114940 (127.09/col) Fri Oct 2 12:17:24 2026 sparse part has weight 28304808067 (105.71/col) Fri Oct 2 12:29:37 2026 BLanczosTime: 7837 Fri Oct 2 12:29:37 2026 elapsed time 18:44:18 Fri Oct 2 12:30:26 2026 Fri Oct 2 12:30:26 2026 Fri Oct 2 12:30:26 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 2 12:30:26 2026 random seeds: 97e174db 4cea99d1 Fri Oct 2 12:30:26 2026 MPI process 0 of 4 Fri Oct 2 12:30:26 2026 Using 15 OpenMP threads Fri Oct 2 12:30:26 2026 factoring 458892513311611318862984201501069942457179786568588804075167412025635930533809770818410850639079111982600041886624888697707009553774579797857587114117638074343969848233791460604242928670762668478286437918714706297417599902159815776851025710670579155082323836795917349333431519436377878444200603772226648632086166389434459119312473 (330 digits) Fri Oct 2 12:30:27 2026 no P-1/P+1/ECM available, skipping Fri Oct 2 12:30:27 2026 commencing number field sieve (330-digit input) Fri Oct 2 12:30:27 2026 R0: -392318858461667547739736838950479151006397215279002157056 Fri Oct 2 12:30:27 2026 R1: 1 Fri Oct 2 12:30:27 2026 A0: 1 Fri Oct 2 12:30:27 2026 A1: 0 Fri Oct 2 12:30:27 2026 A2: 0 Fri Oct 2 12:30:27 2026 A3: 0 Fri Oct 2 12:30:27 2026 A4: 0 Fri Oct 2 12:30:27 2026 A5: 0 Fri Oct 2 12:30:27 2026 A6: 2 Fri Oct 2 12:30:27 2026 skew 1.25, size 1.395e-16, alpha 1.888, combined = 1.059e-16 rroots = 0 Fri Oct 2 12:30:27 2026 Fri Oct 2 12:30:27 2026 commencing linear algebra Fri Oct 2 12:30:27 2026 using VBITS=256 Fri Oct 2 12:30:27 2026 skipping matrix build Fri Oct 2 12:30:27 2026 initialized process (0,0) of 2 x 2 grid Fri Oct 2 12:33:30 2026 matrix starts at (0, 0) Fri Oct 2 12:33:37 2026 matrix is 133885550 x 133883605 (34534.6 MB) with weight 10443441663 (78.00/col) Fri Oct 2 12:33:37 2026 sparse part has weight 7580328564 (56.62/col) Fri Oct 2 12:33:37 2026 saving the first 240 matrix rows for later Fri Oct 2 12:34:01 2026 matrix includes 256 packed rows Fri Oct 2 12:34:18 2026 matrix is 133885310 x 133883605 (31636.8 MB) with weight 6573684622 (49.10/col) Fri Oct 2 12:34:18 2026 sparse part has weight 6151248432 (45.94/col) Fri Oct 2 12:34:18 2026 using GPU 0 (NVIDIA H200) Fri Oct 2 12:34:18 2026 selected card has CUDA arch 9.0 Fri Oct 2 12:34:19 2026 computed block_nnz 1606623720 (L2 cache 62914560 bytes, average column weight 45.9) Fri Oct 2 12:34:19 2026 nonzeros per matrix block: 4000000000 Fri Oct 2 12:34:19 2026 SpMV kernel: auto (by nonzeros per row) Fri Oct 2 12:35:02 2026 GPU memory: 142637 MB free, 20429 MB for vectors, 118122 MB for sparse matrix blocks (48981 MB needed) Fri Oct 2 12:41:53 2026 commencing Lanczos iteration Fri Oct 2 12:41:59 2026 memory use: 73488.1 MB Fri Oct 2 12:44:19 2026 linear algebra at 0.0%, ETA 155h25m Fri Oct 2 12:45:56 2026 checking every 20000 dimensions, checkpointing every 1720000 dimensions Tue Oct 6 16:30:38 2026 Tue Oct 6 16:30:38 2026 Tue Oct 6 16:30:38 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Oct 6 16:30:38 2026 random seeds: 34ec8fbf d3fcc0af Tue Oct 6 16:30:38 2026 MPI process 0 of 4 Tue Oct 6 16:30:38 2026 Using 15 OpenMP threads Tue Oct 6 16:30:38 2026 factoring 458892513311611318862984201501069942457179786568588804075167412025635930533809770818410850639079111982600041886624888697707009553774579797857587114117638074343969848233791460604242928670762668478286437918714706297417599902159815776851025710670579155082323836795917349333431519436377878444200603772226648632086166389434459119312473 (330 digits) Tue Oct 6 16:30:40 2026 no P-1/P+1/ECM available, skipping Tue Oct 6 16:30:40 2026 commencing number field sieve (330-digit input) Tue Oct 6 16:30:40 2026 R0: -392318858461667547739736838950479151006397215279002157056 Tue Oct 6 16:30:40 2026 R1: 1 Tue Oct 6 16:30:40 2026 A0: 1 Tue Oct 6 16:30:40 2026 A1: 0 Tue Oct 6 16:30:40 2026 A2: 0 Tue Oct 6 16:30:40 2026 A3: 0 Tue Oct 6 16:30:40 2026 A4: 0 Tue Oct 6 16:30:40 2026 A5: 0 Tue Oct 6 16:30:40 2026 A6: 2 Tue Oct 6 16:30:40 2026 skew 1.25, size 1.395e-16, alpha 1.888, combined = 1.059e-16 rroots = 0 Tue Oct 6 16:30:40 2026 Tue Oct 6 16:30:40 2026 commencing linear algebra Tue Oct 6 16:30:40 2026 using VBITS=256 Tue Oct 6 16:30:40 2026 initialized process (0,0) of 2 x 2 grid Tue Oct 6 16:33:26 2026 matrix starts at (0, 0) Tue Oct 6 16:33:34 2026 matrix is 133885550 x 133883605 (34534.6 MB) with weight 10443441663 (78.00/col) Tue Oct 6 16:33:34 2026 sparse part has weight 7580328564 (56.62/col) Tue Oct 6 16:33:34 2026 saving the first 240 matrix rows for later Tue Oct 6 16:33:58 2026 matrix includes 256 packed rows Tue Oct 6 16:34:15 2026 matrix is 133885310 x 133883605 (31636.8 MB) with weight 6573684622 (49.10/col) Tue Oct 6 16:34:15 2026 sparse part has weight 6151248432 (45.94/col) Tue Oct 6 16:34:15 2026 using GPU 0 (NVIDIA H200) Tue Oct 6 16:34:15 2026 selected card has CUDA arch 9.0 Tue Oct 6 16:34:15 2026 computed block_nnz 1606623720 (L2 cache 62914560 bytes, average column weight 45.9) Tue Oct 6 16:34:15 2026 nonzeros per matrix block: 4000000000 Tue Oct 6 16:34:15 2026 SpMV kernel: auto (by nonzeros per row) Tue Oct 6 16:35:00 2026 GPU memory: 142637 MB free, 20429 MB for vectors, 118122 MB for sparse matrix blocks (48981 MB needed) Tue Oct 6 16:42:28 2026 commencing Lanczos iteration Tue Oct 6 16:42:33 2026 memory use: 73488.1 MB Tue Oct 6 16:43:27 2026 restarting at iteration 660408 (dim = 168560024) Tue Oct 6 16:44:02 2026 checking every 20000 dimensions, checkpointing every 1660000 dimensions Tue Oct 6 16:44:32 2026 linear algebra at 63.0%, ETA 58h27m Fri Oct 9 03:07:46 2026 lanczos halted after 1049113 iterations (dim = 267770606) Fri Oct 9 03:25:47 2026 recovered 29 nontrivial dependencies Fri Oct 9 03:25:51 2026 BLanczosTime: 212111 Fri Oct 9 03:25:51 2026 elapsed time 58:55:13 Fri Oct 9 08:13:07 2026 Fri Oct 9 08:13:07 2026 Fri Oct 9 08:13:07 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 9 08:13:07 2026 random seeds: 124147c5 06945b5c Fri Oct 9 08:13:07 2026 MPI process 0 of 1 Fri Oct 9 08:13:07 2026 Using 46 OpenMP threads Fri Oct 9 08:13:07 2026 factoring 458892513311611318862984201501069942457179786568588804075167412025635930533809770818410850639079111982600041886624888697707009553774579797857587114117638074343969848233791460604242928670762668478286437918714706297417599902159815776851025710670579155082323836795917349333431519436377878444200603772226648632086166389434459119312473 (330 digits) Fri Oct 9 08:13:08 2026 no P-1/P+1/ECM available, skipping Fri Oct 9 08:13:08 2026 commencing number field sieve (330-digit input) Fri Oct 9 08:13:08 2026 R0: -392318858461667547739736838950479151006397215279002157056 Fri Oct 9 08:13:08 2026 R1: 1 Fri Oct 9 08:13:08 2026 A0: 1 Fri Oct 9 08:13:08 2026 A1: 0 Fri Oct 9 08:13:08 2026 A2: 0 Fri Oct 9 08:13:08 2026 A3: 0 Fri Oct 9 08:13:08 2026 A4: 0 Fri Oct 9 08:13:08 2026 A5: 0 Fri Oct 9 08:13:08 2026 A6: 2 Fri Oct 9 08:13:08 2026 skew 1.25, size 1.395e-16, alpha 1.888, combined = 1.059e-16 rroots = 0 Fri Oct 9 08:13:08 2026 Fri Oct 9 08:13:08 2026 commencing square root phase Fri Oct 9 08:13:08 2026 reading relations for dependency 1 Fri Oct 9 08:13:44 2026 read 133891099 cycles Fri Oct 9 08:18:22 2026 cycles contain 498501052 unique relations Fri Oct 9 10:21:46 2026 read 498501052 relations Fri Oct 9 10:30:14 2026 multiplying 498501052 relations Fri Oct 9 10:57:38 2026 multiply complete, coefficients have about 15006.00 million bits Fri Oct 9 10:58:28 2026 initial square root is modulo 259447807 Fri Oct 9 12:15:41 2026 GCD is 1, no factor found Fri Oct 9 14:27:56 2026 staged savefile to /scratch/gchilders/msieve.dat (1075578.7 MB in 7935 sec) Fri Oct 9 14:27:56 2026 reading relations for dependency 2 Fri Oct 9 14:28:32 2026 read 133886521 cycles Fri Oct 9 14:32:49 2026 cycles contain 498561860 unique relations Fri Oct 9 15:08:42 2026 read 498561860 relations Fri Oct 9 15:17:09 2026 multiplying 498561860 relations Fri Oct 9 15:46:18 2026 multiply complete, coefficients have about 15007.86 million bits Fri Oct 9 15:47:11 2026 initial square root is modulo 260071759 Fri Oct 9 17:05:28 2026 GCD is N, no factor found Fri Oct 9 17:05:28 2026 reading relations for dependency 3 Fri Oct 9 17:06:02 2026 read 133886606 cycles Fri Oct 9 17:10:19 2026 cycles contain 498514258 unique relations Fri Oct 9 17:47:03 2026 read 498514258 relations Fri Oct 9 17:55:47 2026 multiplying 498514258 relations Fri Oct 9 18:25:34 2026 multiply complete, coefficients have about 15006.43 million bits Fri Oct 9 18:26:27 2026 initial square root is modulo 259592413 Fri Oct 9 19:46:41 2026 sqrtTime: 41613 Fri Oct 9 19:46:41 2026 p89 factor: 54227770872430391138371561312089220000750314491426484699564723693727971957470679197877961 Fri Oct 9 19:46:41 2026 p241 factor: 8462315635122557674354930139962151310919497789101707452377342510625819321525017538371804759825195430101068459393338625628671122277882289018904686066735708146161174533894004995150103836782487038180262193357873527559977721075560608227465106193 Fri Oct 9 19:46:41 2026 elapsed time 11:33:34