Wed Apr 1 21:22:14 2026 Wed Apr 1 21:22:14 2026 Wed Apr 1 21:22:14 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 1 21:22:14 2026 random seeds: 7f41b1c8 8eca6a4a Wed Apr 1 21:22:14 2026 MPI process 0 of 1 Wed Apr 1 21:22:14 2026 Using 46 OpenMP threads Wed Apr 1 21:22:14 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits) Wed Apr 1 21:22:16 2026 no P-1/P+1/ECM available, skipping Wed Apr 1 21:22:16 2026 commencing number field sieve (335-digit input) Wed Apr 1 21:22:16 2026 R0: -65523154680015478367958613982466477539475498743447420928 Wed Apr 1 21:22:16 2026 R1: 1 Wed Apr 1 21:22:16 2026 A0: -3 Wed Apr 1 21:22:16 2026 A1: 0 Wed Apr 1 21:22:16 2026 A2: 0 Wed Apr 1 21:22:16 2026 A3: 0 Wed Apr 1 21:22:16 2026 A4: 0 Wed Apr 1 21:22:16 2026 A5: 0 Wed Apr 1 21:22:16 2026 A6: 16 Wed Apr 1 21:22:16 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2 Wed Apr 1 21:22:16 2026 Wed Apr 1 21:22:16 2026 commencing relation filtering Wed Apr 1 21:22:16 2026 setting target matrix density to 110.0 Wed Apr 1 21:22:16 2026 estimated available RAM is 385608.3 MB Wed Apr 1 21:22:16 2026 commencing duplicate removal, pass 1 Wed Apr 1 22:03:37 2026 skipped 10898019 relations with b > 2^32 Wed Apr 1 22:03:37 2026 skipped 16 relations with composite factors Wed Apr 1 22:03:37 2026 skipped 4630 malformed relations Wed Apr 1 22:03:37 2026 found 136609405 hash collisions in 3157764696 relations Wed Apr 1 22:03:47 2026 added 1219066 free relations Wed Apr 1 22:03:47 2026 commencing duplicate removal, pass 2 Wed Apr 1 22:19:16 2026 found 1 duplicates and 3158983761 unique relations Wed Apr 1 22:19:16 2026 memory use: 8870.0 MB Wed Apr 1 22:19:16 2026 reading ideals above 1944125440 Wed Apr 1 22:19:16 2026 commencing singleton removal, initial pass Thu Apr 2 01:50:14 2026 memory use: 66560.0 MB Thu Apr 2 01:50:16 2026 reading all ideals from disk Thu Apr 2 01:51:24 2026 memory use: 86052.7 MB Thu Apr 2 01:54:42 2026 commencing in-memory singleton removal Thu Apr 2 01:54:59 2026 begin with 3158983761 relations and 3108946454 unique ideals Thu Apr 2 01:56:47 2026 reduce to 1434163853 relations and 1126270747 ideals in 22 passes Thu Apr 2 01:56:47 2026 max relations containing the same ideal: 34 Thu Apr 2 01:57:27 2026 reading ideals above 720000 Thu Apr 2 01:57:29 2026 commencing singleton removal, initial pass Thu Apr 2 04:08:08 2026 memory use: 41024.0 MB Thu Apr 2 04:08:09 2026 reading all ideals from disk Thu Apr 2 04:09:30 2026 memory use: 80205.4 MB Thu Apr 2 04:13:26 2026 keeping 1308997012 ideals with weight <= 200, target excess is 8451385 Thu Apr 2 04:17:04 2026 commencing in-memory singleton removal Thu Apr 2 04:17:19 2026 begin with 1434163853 relations and 1308997012 unique ideals Thu Apr 2 04:19:00 2026 reduce to 1433495883 relations and 1308329005 ideals in 19 passes Thu Apr 2 04:19:00 2026 max relations containing the same ideal: 200 Thu Apr 2 04:28:04 2026 removing 34307013 relations and 32307013 ideals in 2000000 cliques Thu Apr 2 04:28:41 2026 commencing in-memory singleton removal Thu Apr 2 04:28:54 2026 begin with 1399188870 relations and 1308329005 unique ideals Thu Apr 2 04:29:52 2026 reduce to 1398465599 relations and 1275296724 ideals in 10 passes Thu Apr 2 04:29:52 2026 max relations containing the same ideal: 200 Thu Apr 2 04:38:11 2026 removing 24807965 relations and 22807965 ideals in 2000000 cliques Thu Apr 2 04:38:46 2026 commencing in-memory singleton removal Thu Apr 2 04:38:59 2026 begin with 1373657634 relations and 1275296724 unique ideals Thu Apr 2 04:39:51 2026 reduce to 1373264797 relations and 1252095039 ideals in 10 passes Thu Apr 2 04:39:51 2026 max relations containing the same ideal: 200 Thu Apr 2 04:47:49 2026 removing 21746439 relations and 19746439 ideals in 2000000 cliques Thu Apr 2 04:48:19 2026 commencing in-memory singleton removal Thu Apr 2 04:48:33 2026 begin with 1351518358 relations and 1252095039 unique ideals Thu Apr 2 04:49:23 2026 reduce to 1351208682 relations and 1232038364 ideals in 10 passes Thu Apr 2 04:49:23 2026 max relations containing the same ideal: 200 Thu Apr 2 04:57:13 2026 removing 19949784 relations and 17949784 ideals in 2000000 cliques Thu Apr 2 04:57:42 2026 commencing in-memory singleton removal Thu Apr 2 04:57:56 2026 begin with 1331258898 relations and 1232038364 unique ideals Thu Apr 2 04:58:45 2026 reduce to 1330996043 relations and 1213825225 ideals in 10 passes Thu Apr 2 04:58:45 2026 max relations containing the same ideal: 199 Thu Apr 2 05:06:23 2026 removing 18715234 relations and 16715234 ideals in 2000000 cliques Thu Apr 2 05:06:52 2026 commencing in-memory singleton removal Thu Apr 2 05:07:06 2026 begin with 1312280809 relations and 1213825225 unique ideals Thu Apr 2 05:07:51 2026 reduce to 1312045060 relations and 1196873781 ideals in 9 passes Thu Apr 2 05:07:51 2026 max relations containing the same ideal: 198 Thu Apr 2 05:15:26 2026 removing 17781167 relations and 15781167 ideals in 2000000 cliques Thu Apr 2 05:15:53 2026 commencing in-memory singleton removal Thu Apr 2 05:16:06 2026 begin with 1294263893 relations and 1196873781 unique ideals Thu Apr 2 05:16:47 2026 reduce to 1294050563 relations and 1180878910 ideals in 8 passes Thu Apr 2 05:16:47 2026 max relations containing the same ideal: 197 Thu Apr 2 05:24:11 2026 removing 17038260 relations and 15038260 ideals in 2000000 cliques Thu Apr 2 05:24:39 2026 commencing in-memory singleton removal Thu Apr 2 05:24:52 2026 begin with 1277012303 relations and 1180878910 unique ideals Thu Apr 2 05:25:39 2026 reduce to 1276814744 relations and 1165642771 ideals in 10 passes Thu Apr 2 05:25:39 2026 max relations containing the same ideal: 196 Thu Apr 2 05:32:53 2026 removing 16433573 relations and 14433573 ideals in 2000000 cliques Thu Apr 2 05:33:19 2026 commencing in-memory singleton removal Thu Apr 2 05:33:32 2026 begin with 1260381171 relations and 1165642771 unique ideals Thu Apr 2 05:34:09 2026 reduce to 1260193138 relations and 1151020842 ideals in 7 passes Thu Apr 2 05:34:09 2026 max relations containing the same ideal: 194 Thu Apr 2 05:41:06 2026 removing 15916167 relations and 13916167 ideals in 2000000 cliques Thu Apr 2 05:41:32 2026 commencing in-memory singleton removal Thu Apr 2 05:41:44 2026 begin with 1244276971 relations and 1151020842 unique ideals Thu Apr 2 05:42:27 2026 reduce to 1244100006 relations and 1136927407 ideals in 9 passes Thu Apr 2 05:42:27 2026 max relations containing the same ideal: 192 Thu Apr 2 05:49:30 2026 removing 15487066 relations and 13487066 ideals in 2000000 cliques Thu Apr 2 05:49:56 2026 commencing in-memory singleton removal Thu Apr 2 05:50:08 2026 begin with 1228612940 relations and 1136927407 unique ideals Thu Apr 2 05:50:43 2026 reduce to 1228444749 relations and 1123271862 ideals in 7 passes Thu Apr 2 05:50:43 2026 max relations containing the same ideal: 191 Thu Apr 2 05:57:44 2026 removing 15101399 relations and 13101399 ideals in 2000000 cliques Thu Apr 2 05:58:09 2026 commencing in-memory singleton removal Thu Apr 2 05:58:21 2026 begin with 1213343350 relations and 1123271862 unique ideals Thu Apr 2 05:59:03 2026 reduce to 1213181774 relations and 1110008626 ideals in 9 passes Thu Apr 2 05:59:03 2026 max relations containing the same ideal: 190 Thu Apr 2 06:05:52 2026 removing 14759730 relations and 12759730 ideals in 2000000 cliques Thu Apr 2 06:06:19 2026 commencing in-memory singleton removal Thu Apr 2 06:06:31 2026 begin with 1198422044 relations and 1110008626 unique ideals Thu Apr 2 06:07:09 2026 reduce to 1198264670 relations and 1097091240 ideals in 8 passes Thu Apr 2 06:07:09 2026 max relations containing the same ideal: 189 Thu Apr 2 06:14:00 2026 removing 14465913 relations and 12465913 ideals in 2000000 cliques Thu Apr 2 06:14:24 2026 commencing in-memory singleton removal Thu Apr 2 06:14:36 2026 begin with 1183798757 relations and 1097091240 unique ideals Thu Apr 2 06:15:13 2026 reduce to 1183647320 relations and 1084473608 ideals in 8 passes Thu Apr 2 06:15:13 2026 max relations containing the same ideal: 189 Thu Apr 2 06:21:48 2026 removing 14195354 relations and 12195354 ideals in 2000000 cliques Thu Apr 2 06:22:13 2026 commencing in-memory singleton removal Thu Apr 2 06:22:25 2026 begin with 1169451966 relations and 1084473608 unique ideals Thu Apr 2 06:23:03 2026 reduce to 1169305649 relations and 1072131681 ideals in 8 passes Thu Apr 2 06:23:03 2026 max relations containing the same ideal: 187 Thu Apr 2 06:29:36 2026 removing 13943422 relations and 11943422 ideals in 2000000 cliques Thu Apr 2 06:30:00 2026 commencing in-memory singleton removal Thu Apr 2 06:30:12 2026 begin with 1155362227 relations and 1072131681 unique ideals Thu Apr 2 06:30:45 2026 reduce to 1155218582 relations and 1060044384 ideals in 7 passes Thu Apr 2 06:30:45 2026 max relations containing the same ideal: 186 Thu Apr 2 06:37:08 2026 removing 13723871 relations and 11723871 ideals in 2000000 cliques Thu Apr 2 06:37:32 2026 commencing in-memory singleton removal Thu Apr 2 06:37:44 2026 begin with 1141494711 relations and 1060044384 unique ideals Thu Apr 2 06:38:17 2026 reduce to 1141355704 relations and 1048181284 ideals in 7 passes Thu Apr 2 06:38:17 2026 max relations containing the same ideal: 185 Thu Apr 2 06:44:40 2026 removing 13517465 relations and 11517465 ideals in 2000000 cliques Thu Apr 2 06:45:04 2026 commencing in-memory singleton removal Thu Apr 2 06:45:15 2026 begin with 1127838239 relations and 1048181284 unique ideals Thu Apr 2 06:45:49 2026 reduce to 1127700193 relations and 1036525564 ideals in 7 passes Thu Apr 2 06:45:49 2026 max relations containing the same ideal: 182 Thu Apr 2 06:52:09 2026 removing 13326515 relations and 11326515 ideals in 2000000 cliques Thu Apr 2 06:52:32 2026 commencing in-memory singleton removal Thu Apr 2 06:52:44 2026 begin with 1114373678 relations and 1036525564 unique ideals Thu Apr 2 06:53:20 2026 reduce to 1114239504 relations and 1025064631 ideals in 8 passes Thu Apr 2 06:53:20 2026 max relations containing the same ideal: 181 Thu Apr 2 06:59:32 2026 removing 13156765 relations and 11156765 ideals in 2000000 cliques Thu Apr 2 06:59:56 2026 commencing in-memory singleton removal Thu Apr 2 07:00:07 2026 begin with 1101082739 relations and 1025064631 unique ideals Thu Apr 2 07:00:39 2026 reduce to 1100949692 relations and 1013774578 ideals in 7 passes Thu Apr 2 07:00:39 2026 max relations containing the same ideal: 180 Thu Apr 2 07:06:48 2026 removing 12992752 relations and 10992752 ideals in 2000000 cliques Thu Apr 2 07:07:11 2026 commencing in-memory singleton removal Thu Apr 2 07:07:23 2026 begin with 1087956940 relations and 1013774578 unique ideals Thu Apr 2 07:07:55 2026 reduce to 1087826411 relations and 1002651065 ideals in 7 passes Thu Apr 2 07:07:55 2026 max relations containing the same ideal: 180 Thu Apr 2 07:13:49 2026 removing 12847664 relations and 10847664 ideals in 2000000 cliques Thu Apr 2 07:14:12 2026 commencing in-memory singleton removal Thu Apr 2 07:14:23 2026 begin with 1074978747 relations and 1002651065 unique ideals Thu Apr 2 07:14:59 2026 reduce to 1074848514 relations and 991672928 ideals in 8 passes Thu Apr 2 07:14:59 2026 max relations containing the same ideal: 179 Thu Apr 2 07:21:10 2026 removing 12704640 relations and 10704640 ideals in 2000000 cliques Thu Apr 2 07:21:32 2026 commencing in-memory singleton removal Thu Apr 2 07:21:43 2026 begin with 1062143874 relations and 991672928 unique ideals Thu Apr 2 07:22:18 2026 reduce to 1062015715 relations and 980839864 ideals in 8 passes Thu Apr 2 07:22:18 2026 max relations containing the same ideal: 178 Thu Apr 2 07:28:08 2026 removing 12572710 relations and 10572710 ideals in 2000000 cliques Thu Apr 2 07:28:30 2026 commencing in-memory singleton removal Thu Apr 2 07:28:41 2026 begin with 1049443005 relations and 980839864 unique ideals Thu Apr 2 07:29:12 2026 reduce to 1049316965 relations and 970140874 ideals in 7 passes Thu Apr 2 07:29:12 2026 max relations containing the same ideal: 175 Thu Apr 2 07:34:54 2026 removing 12455585 relations and 10455585 ideals in 2000000 cliques Thu Apr 2 07:35:16 2026 commencing in-memory singleton removal Thu Apr 2 07:35:28 2026 begin with 1036861380 relations and 970140874 unique ideals Thu Apr 2 07:36:02 2026 reduce to 1036736656 relations and 959560347 ideals in 8 passes Thu Apr 2 07:36:02 2026 max relations containing the same ideal: 173 Thu Apr 2 07:41:46 2026 removing 12339685 relations and 10339685 ideals in 2000000 cliques Thu Apr 2 07:42:07 2026 commencing in-memory singleton removal Thu Apr 2 07:42:18 2026 begin with 1024396971 relations and 959560347 unique ideals Thu Apr 2 07:42:48 2026 reduce to 1024273597 relations and 949097067 ideals in 7 passes Thu Apr 2 07:42:48 2026 max relations containing the same ideal: 172 Thu Apr 2 07:48:24 2026 removing 12229883 relations and 10229883 ideals in 2000000 cliques Thu Apr 2 07:48:45 2026 commencing in-memory singleton removal Thu Apr 2 07:48:56 2026 begin with 1012043714 relations and 949097067 unique ideals Thu Apr 2 07:49:26 2026 reduce to 1011920424 relations and 938743633 ideals in 7 passes Thu Apr 2 07:49:26 2026 max relations containing the same ideal: 172 Thu Apr 2 07:54:56 2026 removing 12124938 relations and 10124938 ideals in 2000000 cliques Thu Apr 2 07:55:17 2026 commencing in-memory singleton removal Thu Apr 2 07:55:28 2026 begin with 999795486 relations and 938743633 unique ideals Thu Apr 2 07:55:57 2026 reduce to 999672986 relations and 928495959 ideals in 7 passes Thu Apr 2 07:55:57 2026 max relations containing the same ideal: 170 Thu Apr 2 08:01:25 2026 removing 12028576 relations and 10028576 ideals in 2000000 cliques Thu Apr 2 08:01:46 2026 commencing in-memory singleton removal Thu Apr 2 08:01:56 2026 begin with 987644410 relations and 928495959 unique ideals Thu Apr 2 08:02:27 2026 reduce to 987523331 relations and 918346057 ideals in 8 passes Thu Apr 2 08:02:27 2026 max relations containing the same ideal: 170 Thu Apr 2 08:07:44 2026 removing 11938066 relations and 9938066 ideals in 2000000 cliques Thu Apr 2 08:08:04 2026 commencing in-memory singleton removal Thu Apr 2 08:08:14 2026 begin with 975585265 relations and 918346057 unique ideals Thu Apr 2 08:08:45 2026 reduce to 975464201 relations and 908286682 ideals in 8 passes Thu Apr 2 08:08:45 2026 max relations containing the same ideal: 169 Thu Apr 2 08:14:15 2026 removing 11855744 relations and 9855744 ideals in 2000000 cliques Thu Apr 2 08:14:35 2026 commencing in-memory singleton removal Thu Apr 2 08:14:45 2026 begin with 963608457 relations and 908286682 unique ideals Thu Apr 2 08:15:12 2026 reduce to 963487181 relations and 898309410 ideals in 7 passes Thu Apr 2 08:15:12 2026 max relations containing the same ideal: 165 Thu Apr 2 08:20:33 2026 removing 11767940 relations and 9767940 ideals in 2000000 cliques Thu Apr 2 08:20:54 2026 commencing in-memory singleton removal Thu Apr 2 08:21:04 2026 begin with 951719241 relations and 898309410 unique ideals Thu Apr 2 08:21:31 2026 reduce to 951598216 relations and 888420210 ideals in 7 passes Thu Apr 2 08:21:31 2026 max relations containing the same ideal: 165 Thu Apr 2 08:26:36 2026 removing 11693292 relations and 9693292 ideals in 2000000 cliques Thu Apr 2 08:26:56 2026 commencing in-memory singleton removal Thu Apr 2 08:27:06 2026 begin with 939904924 relations and 888420210 unique ideals Thu Apr 2 08:27:30 2026 reduce to 939784969 relations and 878606712 ideals in 6 passes Thu Apr 2 08:27:30 2026 max relations containing the same ideal: 163 Thu Apr 2 08:32:31 2026 removing 11620926 relations and 9620926 ideals in 2000000 cliques Thu Apr 2 08:32:51 2026 commencing in-memory singleton removal Thu Apr 2 08:33:01 2026 begin with 928164043 relations and 878606712 unique ideals Thu Apr 2 08:33:30 2026 reduce to 928044235 relations and 868865733 ideals in 7 passes Thu Apr 2 08:33:30 2026 max relations containing the same ideal: 163 Thu Apr 2 08:38:49 2026 removing 11553292 relations and 9553292 ideals in 2000000 cliques Thu Apr 2 08:39:09 2026 commencing in-memory singleton removal Thu Apr 2 08:39:18 2026 begin with 916490943 relations and 868865733 unique ideals Thu Apr 2 08:39:44 2026 reduce to 916371809 relations and 859193059 ideals in 7 passes Thu Apr 2 08:39:44 2026 max relations containing the same ideal: 161 Thu Apr 2 08:44:38 2026 removing 11488278 relations and 9488278 ideals in 2000000 cliques Thu Apr 2 08:44:57 2026 commencing in-memory singleton removal Thu Apr 2 08:45:06 2026 begin with 904883531 relations and 859193059 unique ideals Thu Apr 2 08:45:31 2026 reduce to 904763500 relations and 849584493 ideals in 7 passes Thu Apr 2 08:45:31 2026 max relations containing the same ideal: 158 Thu Apr 2 08:50:17 2026 removing 11424811 relations and 9424811 ideals in 2000000 cliques Thu Apr 2 08:50:35 2026 commencing in-memory singleton removal Thu Apr 2 08:50:45 2026 begin with 893338689 relations and 849584493 unique ideals Thu Apr 2 08:51:10 2026 reduce to 893218336 relations and 840039073 ideals in 7 passes Thu Apr 2 08:51:10 2026 max relations containing the same ideal: 157 Thu Apr 2 08:55:55 2026 removing 11367367 relations and 9367367 ideals in 2000000 cliques Thu Apr 2 08:56:13 2026 commencing in-memory singleton removal Thu Apr 2 08:56:23 2026 begin with 881850969 relations and 840039073 unique ideals Thu Apr 2 08:56:50 2026 reduce to 881730679 relations and 830551149 ideals in 7 passes Thu Apr 2 08:56:50 2026 max relations containing the same ideal: 157 Thu Apr 2 09:01:32 2026 removing 11308951 relations and 9308951 ideals in 2000000 cliques Thu Apr 2 09:01:51 2026 commencing in-memory singleton removal Thu Apr 2 09:02:00 2026 begin with 870421728 relations and 830551149 unique ideals Thu Apr 2 09:02:25 2026 reduce to 870302172 relations and 821122384 ideals in 7 passes Thu Apr 2 09:02:25 2026 max relations containing the same ideal: 156 Thu Apr 2 09:07:03 2026 removing 11259562 relations and 9259562 ideals in 2000000 cliques Thu Apr 2 09:07:21 2026 commencing in-memory singleton removal Thu Apr 2 09:07:31 2026 begin with 859042610 relations and 821122384 unique ideals Thu Apr 2 09:07:56 2026 reduce to 858921564 relations and 811741511 ideals in 7 passes Thu Apr 2 09:07:56 2026 max relations containing the same ideal: 155 Thu Apr 2 09:12:20 2026 removing 11206128 relations and 9206128 ideals in 2000000 cliques Thu Apr 2 09:12:38 2026 commencing in-memory singleton removal Thu Apr 2 09:12:47 2026 begin with 847715436 relations and 811741511 unique ideals Thu Apr 2 09:13:13 2026 reduce to 847593180 relations and 802412843 ideals in 7 passes Thu Apr 2 09:13:13 2026 max relations containing the same ideal: 153 Thu Apr 2 09:17:40 2026 removing 11160642 relations and 9160642 ideals in 2000000 cliques Thu Apr 2 09:17:58 2026 commencing in-memory singleton removal Thu Apr 2 09:18:07 2026 begin with 836432538 relations and 802412843 unique ideals Thu Apr 2 09:18:31 2026 reduce to 836309553 relations and 793128949 ideals in 7 passes Thu Apr 2 09:18:31 2026 max relations containing the same ideal: 151 Thu Apr 2 09:22:52 2026 removing 11117565 relations and 9117565 ideals in 2000000 cliques Thu Apr 2 09:23:09 2026 commencing in-memory singleton removal Thu Apr 2 09:23:18 2026 begin with 825191988 relations and 793128949 unique ideals Thu Apr 2 09:23:42 2026 reduce to 825069177 relations and 783888303 ideals in 7 passes Thu Apr 2 09:23:42 2026 max relations containing the same ideal: 150 Thu Apr 2 09:27:54 2026 removing 11077862 relations and 9077862 ideals in 2000000 cliques Thu Apr 2 09:28:11 2026 commencing in-memory singleton removal Thu Apr 2 09:28:20 2026 begin with 813991315 relations and 783888303 unique ideals Thu Apr 2 09:28:44 2026 reduce to 813866985 relations and 774685808 ideals in 7 passes Thu Apr 2 09:28:44 2026 max relations containing the same ideal: 149 Thu Apr 2 09:32:56 2026 removing 11034648 relations and 9034648 ideals in 2000000 cliques Thu Apr 2 09:33:13 2026 commencing in-memory singleton removal Thu Apr 2 09:33:21 2026 begin with 802832337 relations and 774685808 unique ideals Thu Apr 2 09:33:42 2026 reduce to 802707127 relations and 765525666 ideals in 6 passes Thu Apr 2 09:33:42 2026 max relations containing the same ideal: 147 Thu Apr 2 09:37:46 2026 removing 10999148 relations and 8999148 ideals in 2000000 cliques Thu Apr 2 09:38:03 2026 commencing in-memory singleton removal Thu Apr 2 09:38:11 2026 begin with 791707979 relations and 765525666 unique ideals Thu Apr 2 09:38:37 2026 reduce to 791582131 relations and 756400371 ideals in 8 passes Thu Apr 2 09:38:37 2026 max relations containing the same ideal: 146 Thu Apr 2 09:42:37 2026 removing 10967604 relations and 8967604 ideals in 2000000 cliques Thu Apr 2 09:42:54 2026 commencing in-memory singleton removal Thu Apr 2 09:43:02 2026 begin with 780614527 relations and 756400371 unique ideals Thu Apr 2 09:43:24 2026 reduce to 780488105 relations and 747305999 ideals in 7 passes Thu Apr 2 09:43:24 2026 max relations containing the same ideal: 145 Thu Apr 2 09:47:23 2026 removing 10933476 relations and 8933476 ideals in 2000000 cliques Thu Apr 2 09:47:39 2026 commencing in-memory singleton removal Thu Apr 2 09:47:48 2026 begin with 769554629 relations and 747305999 unique ideals Thu Apr 2 09:48:13 2026 reduce to 769426198 relations and 738243781 ideals in 8 passes Thu Apr 2 09:48:13 2026 max relations containing the same ideal: 144 Thu Apr 2 09:52:09 2026 removing 10907815 relations and 8907815 ideals in 2000000 cliques Thu Apr 2 09:52:25 2026 commencing in-memory singleton removal Thu Apr 2 09:52:33 2026 begin with 758518383 relations and 738243781 unique ideals Thu Apr 2 09:52:53 2026 reduce to 758388742 relations and 729206008 ideals in 6 passes Thu Apr 2 09:52:53 2026 max relations containing the same ideal: 142 Thu Apr 2 09:56:42 2026 removing 10876553 relations and 8876553 ideals in 2000000 cliques Thu Apr 2 09:56:58 2026 commencing in-memory singleton removal Thu Apr 2 09:57:06 2026 begin with 747512189 relations and 729206008 unique ideals Thu Apr 2 09:57:27 2026 reduce to 747380951 relations and 720197866 ideals in 7 passes Thu Apr 2 09:57:27 2026 max relations containing the same ideal: 142 Thu Apr 2 10:01:15 2026 removing 10859515 relations and 8859515 ideals in 2000000 cliques Thu Apr 2 10:01:31 2026 commencing in-memory singleton removal Thu Apr 2 10:01:38 2026 begin with 736521436 relations and 720197866 unique ideals Thu Apr 2 10:02:00 2026 reduce to 736389247 relations and 711205827 ideals in 7 passes Thu Apr 2 10:02:00 2026 max relations containing the same ideal: 141 Thu Apr 2 10:05:45 2026 removing 10836658 relations and 8836658 ideals in 2000000 cliques Thu Apr 2 10:06:00 2026 commencing in-memory singleton removal Thu Apr 2 10:06:08 2026 begin with 725552589 relations and 711205827 unique ideals Thu Apr 2 10:06:27 2026 reduce to 725419302 relations and 702235515 ideals in 6 passes Thu Apr 2 10:06:27 2026 max relations containing the same ideal: 141 Thu Apr 2 10:10:05 2026 removing 10818689 relations and 8818689 ideals in 2000000 cliques Thu Apr 2 10:10:20 2026 commencing in-memory singleton removal Thu Apr 2 10:10:28 2026 begin with 714600613 relations and 702235515 unique ideals Thu Apr 2 10:10:49 2026 reduce to 714464632 relations and 693280484 ideals in 7 passes Thu Apr 2 10:10:49 2026 max relations containing the same ideal: 138 Thu Apr 2 10:14:25 2026 removing 10799828 relations and 8799828 ideals in 2000000 cliques Thu Apr 2 10:14:40 2026 commencing in-memory singleton removal Thu Apr 2 10:14:47 2026 begin with 703664804 relations and 693280484 unique ideals Thu Apr 2 10:15:07 2026 reduce to 703527234 relations and 684342718 ideals in 7 passes Thu Apr 2 10:15:07 2026 max relations containing the same ideal: 137 Thu Apr 2 10:18:39 2026 removing 10786606 relations and 8786606 ideals in 2000000 cliques Thu Apr 2 10:18:54 2026 commencing in-memory singleton removal Thu Apr 2 10:19:02 2026 begin with 692740628 relations and 684342718 unique ideals Thu Apr 2 10:19:22 2026 reduce to 692601248 relations and 675416327 ideals in 7 passes Thu Apr 2 10:19:22 2026 max relations containing the same ideal: 136 Thu Apr 2 10:22:49 2026 removing 10775658 relations and 8775658 ideals in 2000000 cliques Thu Apr 2 10:23:03 2026 commencing in-memory singleton removal Thu Apr 2 10:23:11 2026 begin with 681825590 relations and 675416327 unique ideals Thu Apr 2 10:23:31 2026 reduce to 681682337 relations and 666497007 ideals in 7 passes Thu Apr 2 10:23:31 2026 max relations containing the same ideal: 134 Thu Apr 2 10:26:55 2026 removing 10763482 relations and 8763482 ideals in 2000000 cliques Thu Apr 2 10:27:09 2026 commencing in-memory singleton removal Thu Apr 2 10:27:16 2026 begin with 670918855 relations and 666497007 unique ideals Thu Apr 2 10:27:36 2026 reduce to 670774804 relations and 657589075 ideals in 7 passes Thu Apr 2 10:27:36 2026 max relations containing the same ideal: 133 Thu Apr 2 10:30:58 2026 removing 10762915 relations and 8762915 ideals in 2000000 cliques Thu Apr 2 10:31:12 2026 commencing in-memory singleton removal Thu Apr 2 10:31:19 2026 begin with 660011889 relations and 657589075 unique ideals Thu Apr 2 10:31:38 2026 reduce to 659865028 relations and 648678847 ideals in 7 passes Thu Apr 2 10:31:38 2026 max relations containing the same ideal: 129 Thu Apr 2 10:34:59 2026 removing 7856885 relations and 6474311 ideals in 1382574 cliques Thu Apr 2 10:35:12 2026 commencing in-memory singleton removal Thu Apr 2 10:35:19 2026 begin with 652008143 relations and 648678847 unique ideals Thu Apr 2 10:35:38 2026 reduce to 651928068 relations and 642124285 ideals in 7 passes Thu Apr 2 10:35:38 2026 max relations containing the same ideal: 128 Thu Apr 2 10:40:07 2026 relations with 0 large ideals: 330649 Thu Apr 2 10:40:07 2026 relations with 1 large ideals: 262912 Thu Apr 2 10:40:07 2026 relations with 2 large ideals: 3010916 Thu Apr 2 10:40:07 2026 relations with 3 large ideals: 18452059 Thu Apr 2 10:40:07 2026 relations with 4 large ideals: 65376282 Thu Apr 2 10:40:07 2026 relations with 5 large ideals: 140705413 Thu Apr 2 10:40:07 2026 relations with 6 large ideals: 185571695 Thu Apr 2 10:40:07 2026 relations with 7+ large ideals: 238218142 Thu Apr 2 10:40:07 2026 commencing 2-way merge Thu Apr 2 10:45:24 2026 reduce to 400399571 relation sets and 390595787 unique ideals Thu Apr 2 10:45:24 2026 commencing full merge Thu Apr 2 12:18:27 2026 memory use: 43122.0 MB Thu Apr 2 12:19:13 2026 found 189490560 cycles, need 188227987 Thu Apr 2 12:20:22 2026 weight of 188227987 cycles is about 20705200921 (110.00/cycle) Thu Apr 2 12:20:22 2026 distribution of cycle lengths: Thu Apr 2 12:20:22 2026 1 relations: 13349661 Thu Apr 2 12:20:22 2026 2 relations: 17292859 Thu Apr 2 12:20:22 2026 3 relations: 19006229 Thu Apr 2 12:20:22 2026 4 relations: 18147399 Thu Apr 2 12:20:22 2026 5 relations: 16670100 Thu Apr 2 12:20:22 2026 6 relations: 15337538 Thu Apr 2 12:20:22 2026 7 relations: 13710170 Thu Apr 2 12:20:22 2026 8 relations: 12333238 Thu Apr 2 12:20:22 2026 9 relations: 11034906 Thu Apr 2 12:20:22 2026 10+ relations: 51345887 Thu Apr 2 12:20:22 2026 heaviest cycle: 24 relations Thu Apr 2 12:20:59 2026 commencing cycle optimization Thu Apr 2 12:27:09 2026 start with 1324938184 relations Thu Apr 2 13:01:12 2026 pruned 34263200 relations Thu Apr 2 13:01:30 2026 memory use: 40661.3 MB Thu Apr 2 13:01:31 2026 distribution of cycle lengths: Thu Apr 2 13:01:31 2026 1 relations: 13349661 Thu Apr 2 13:01:31 2026 2 relations: 17691229 Thu Apr 2 13:01:31 2026 3 relations: 19709280 Thu Apr 2 13:01:31 2026 4 relations: 18614932 Thu Apr 2 13:01:31 2026 5 relations: 17126441 Thu Apr 2 13:01:31 2026 6 relations: 15609470 Thu Apr 2 13:01:31 2026 7 relations: 13946743 Thu Apr 2 13:01:31 2026 8 relations: 12461287 Thu Apr 2 13:01:31 2026 9 relations: 11106721 Thu Apr 2 13:01:31 2026 10+ relations: 48612223 Thu Apr 2 13:01:31 2026 heaviest cycle: 24 relations Thu Apr 2 13:07:45 2026 RelProcTime: 56729 Thu Apr 2 13:09:13 2026 elapsed time 15:46:59 Thu Apr 2 13:09:16 2026 Thu Apr 2 13:09:16 2026 Thu Apr 2 13:09:16 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Apr 2 13:09:16 2026 random seeds: 6f30440b e5846811 Thu Apr 2 13:09:16 2026 MPI process 0 of 1 Thu Apr 2 13:09:16 2026 Using 46 OpenMP threads Thu Apr 2 13:09:16 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits) Thu Apr 2 13:09:17 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 13:09:17 2026 commencing number field sieve (335-digit input) Thu Apr 2 13:09:17 2026 R0: -65523154680015478367958613982466477539475498743447420928 Thu Apr 2 13:09:17 2026 R1: 1 Thu Apr 2 13:09:17 2026 A0: -3 Thu Apr 2 13:09:17 2026 A1: 0 Thu Apr 2 13:09:17 2026 A2: 0 Thu Apr 2 13:09:17 2026 A3: 0 Thu Apr 2 13:09:17 2026 A4: 0 Thu Apr 2 13:09:17 2026 A5: 0 Thu Apr 2 13:09:17 2026 A6: 16 Thu Apr 2 13:09:17 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2 Thu Apr 2 13:09:17 2026 Thu Apr 2 13:09:17 2026 commencing linear algebra Thu Apr 2 13:09:17 2026 using VBITS=256 Thu Apr 2 13:09:17 2026 stopping after matrix build Thu Apr 2 13:09:17 2026 initialized process (0,0) of 1 x 1 grid Thu Apr 2 13:09:38 2026 read 188227987 cycles Thu Apr 2 13:16:19 2026 cycles contain 646012142 unique relations Thu Apr 2 13:28:02 2026 read 646012142 relations Thu Apr 2 13:29:06 2026 using 20 quadratic characters above 4294917295 Thu Apr 2 13:30:25 2026 building initial matrix Thu Apr 2 15:52:11 2026 memory use: 88319.5 MB Thu Apr 2 15:54:32 2026 read 188227987 cycles Thu Apr 2 15:54:55 2026 matrix is 188227809 x 188227987 (84245.5 MB) with weight 24051610198 (127.78/col) Thu Apr 2 15:54:55 2026 sparse part has weight 20013937901 (106.33/col) Thu Apr 2 16:44:40 2026 filtering completed in 2 passes Thu Apr 2 16:45:14 2026 matrix is 188180459 x 188180631 (84242.1 MB) with weight 24050236489 (127.80/col) Thu Apr 2 16:45:14 2026 sparse part has weight 20013578535 (106.35/col) Thu Apr 2 16:52:19 2026 BLanczosTime: 13382 Thu Apr 2 16:52:19 2026 elapsed time 03:43:03 Thu Apr 2 21:54:07 2026 Thu Apr 2 21:54:07 2026 Thu Apr 2 21:54:07 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Apr 2 21:54:07 2026 random seeds: 6568f46b 5e983fc0 Thu Apr 2 21:54:07 2026 MPI process 0 of 4 Thu Apr 2 21:54:07 2026 Using 15 OpenMP threads Thu Apr 2 21:54:07 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits) Thu Apr 2 21:54:08 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 21:54:08 2026 commencing number field sieve (335-digit input) Thu Apr 2 21:54:08 2026 R0: -65523154680015478367958613982466477539475498743447420928 Thu Apr 2 21:54:08 2026 R1: 1 Thu Apr 2 21:54:08 2026 A0: -3 Thu Apr 2 21:54:08 2026 A1: 0 Thu Apr 2 21:54:08 2026 A2: 0 Thu Apr 2 21:54:08 2026 A3: 0 Thu Apr 2 21:54:08 2026 A4: 0 Thu Apr 2 21:54:08 2026 A5: 0 Thu Apr 2 21:54:08 2026 A6: 16 Thu Apr 2 21:54:08 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2 Thu Apr 2 21:54:08 2026 Thu Apr 2 21:54:08 2026 commencing linear algebra Thu Apr 2 21:54:08 2026 using VBITS=256 Thu Apr 2 21:54:08 2026 skipping matrix build Thu Apr 2 21:54:08 2026 initialized process (0,0) of 2 x 2 grid Thu Apr 2 21:56:22 2026 matrix starts at (0, 0) Thu Apr 2 21:56:27 2026 matrix is 94090350 x 94090300 (24435.1 MB) with weight 7388854026 (78.53/col) Thu Apr 2 21:56:27 2026 sparse part has weight 5370530602 (57.08/col) Thu Apr 2 21:56:27 2026 saving the first 240 matrix rows for later Thu Apr 2 21:56:44 2026 matrix includes 256 packed rows Thu Apr 2 21:56:56 2026 matrix is 94090110 x 94090300 (22304.6 MB) with weight 4639482102 (49.31/col) Thu Apr 2 21:56:56 2026 sparse part has weight 4341584731 (46.14/col) Thu Apr 2 21:56:56 2026 using GPU 0 (NVIDIA H200) Thu Apr 2 21:56:56 2026 selected card has CUDA arch 9.0 Thu Apr 2 22:02:34 2026 commencing Lanczos iteration Thu Apr 2 22:02:38 2026 memory use: 52505.7 MB Thu Apr 2 22:03:38 2026 linear algebra at 0.0%, ETA 88h44m Thu Apr 2 22:04:57 2026 checking every 30000 dimensions, checkpointing every 2130000 dimensions Mon Apr 6 16:05:31 2026 lanczos halted after 737280 iterations (dim = 188180219) Mon Apr 6 16:12:59 2026 recovered 38 nontrivial dependencies Mon Apr 6 16:13:02 2026 BLanczosTime: 325134 Mon Apr 6 16:13:02 2026 elapsed time 90:18:55 Mon Apr 6 16:13:10 2026 Mon Apr 6 16:13:10 2026 Mon Apr 6 16:13:10 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Apr 6 16:13:10 2026 random seeds: 59b4333d e1b8b2eb Mon Apr 6 16:13:10 2026 MPI process 0 of 1 Mon Apr 6 16:13:10 2026 Using 32 OpenMP threads Mon Apr 6 16:13:10 2026 factoring 38368501296826301126488592752960730318087477979586860587651263626437450573813293873405584884164553465135825802534899664091643672044156098438286038472809787342391275425330494911715020932615290886031913464796313792705079539570751260351411294211108747424014294606742836834724644751750627296975193191984592703610913234757629879399656551517 (335 digits) Mon Apr 6 16:13:13 2026 no P-1/P+1/ECM available, skipping Mon Apr 6 16:13:13 2026 commencing number field sieve (335-digit input) Mon Apr 6 16:13:13 2026 R0: -65523154680015478367958613982466477539475498743447420928 Mon Apr 6 16:13:13 2026 R1: 1 Mon Apr 6 16:13:13 2026 A0: -3 Mon Apr 6 16:13:13 2026 A1: 0 Mon Apr 6 16:13:13 2026 A2: 0 Mon Apr 6 16:13:13 2026 A3: 0 Mon Apr 6 16:13:13 2026 A4: 0 Mon Apr 6 16:13:13 2026 A5: 0 Mon Apr 6 16:13:13 2026 A6: 16 Mon Apr 6 16:13:13 2026 skew 1.01, size 2.136e-16, alpha 0.872, combined = 1.499e-16 rroots = 2 Mon Apr 6 16:13:13 2026 Mon Apr 6 16:13:13 2026 commencing square root phase Mon Apr 6 16:13:13 2026 reading relations for dependency 1 Mon Apr 6 16:13:45 2026 read 94082253 cycles Mon Apr 6 16:17:27 2026 cycles contain 322995106 unique relations Mon Apr 6 16:28:39 2026 read 322995106 relations Mon Apr 6 17:02:47 2026 multiplying 322995106 relations Mon Apr 6 17:38:37 2026 multiply complete, coefficients have about 10667.59 million bits Mon Apr 6 17:39:18 2026 initial square root is modulo 958327 Mon Apr 6 19:26:25 2026 sqrtTime: 11592 Mon Apr 6 19:26:26 2026 p155 factor: 23503367138556947436815398828699062893236603929714926941196195846762302737604573984982581024804113275666272505812649727970300889753542711591017757476328343 Mon Apr 6 19:26:26 2026 p181 factor: 1632468278720937286963317853487733175903531473980985380655725973646428866736336473970228426208018353131640457657982485323404364021643306772958182386165591663733871216115097609791019 Mon Apr 6 19:26:26 2026 elapsed time 03:13:16