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- Mon Aug 10 16:05:49 2026
- Mon Aug 10 16:05:49 2026
- Mon Aug 10 16:05:49 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Mon Aug 10 16:05:49 2026 random seeds: 2d3c7a7a d21383e1
- Mon Aug 10 16:05:49 2026 MPI process 0 of 1
- Mon Aug 10 16:05:49 2026 Using 46 OpenMP threads
- Mon Aug 10 16:05:49 2026 factoring 626708871872729635240544510098758471567240378337357036644878252703989283135684925708089114922879036772044653958887097990374110400215842511262101080090505949913957525354566563643679885036557015603576091908920351610893448628453934470899678705253063343521 (252 digits)
- Mon Aug 10 16:05:50 2026 no P-1/P+1/ECM available, skipping
- Mon Aug 10 16:05:50 2026 commencing number field sieve (252-digit input)
- Mon Aug 10 16:05:50 2026 R0: -7395104114874202511988394360121831439224179537192802907
- Mon Aug 10 16:05:50 2026 R1: 1
- Mon Aug 10 16:05:50 2026 A0: 1
- Mon Aug 10 16:05:50 2026 A1: -1
- Mon Aug 10 16:05:50 2026 A2: 1
- Mon Aug 10 16:05:50 2026 A3: -1
- Mon Aug 10 16:05:50 2026 A4: 1
- Mon Aug 10 16:05:50 2026 A5: -1
- Mon Aug 10 16:05:50 2026 A6: 1
- Mon Aug 10 16:05:50 2026 skew 1.41, size 4.093e-16, alpha 2.428, combined = 2.569e-16 rroots = 0
- Mon Aug 10 16:05:50 2026
- Mon Aug 10 16:05:50 2026 commencing relation filtering
- Mon Aug 10 16:05:50 2026 setting target matrix density to 110.0
- Mon Aug 10 16:05:50 2026 estimated available RAM is 192068.7 MB
- Mon Aug 10 16:05:50 2026 commencing duplicate removal, pass 1
- Mon Aug 10 16:50:03 2026 skipped 4 relations with composite factors
- Mon Aug 10 16:50:03 2026 skipped 10382 malformed relations
- Mon Aug 10 16:50:03 2026 found 153525676 hash collisions in 3353756003 relations
- Mon Aug 10 16:50:11 2026 added 2438534 free relations
- Mon Aug 10 16:50:11 2026 commencing duplicate removal, pass 2
- Mon Aug 10 17:08:51 2026 found 0 duplicates and 3356194537 unique relations
- Mon Aug 10 17:08:51 2026 memory use: 8870.0 MB
- Mon Aug 10 17:08:51 2026 reading ideals above 2692022272
- Mon Aug 10 17:08:51 2026 commencing singleton removal, initial pass
- Mon Aug 10 20:17:26 2026 memory use: 66560.0 MB
- Mon Aug 10 20:17:28 2026 reading all ideals from disk
- Mon Aug 10 20:18:58 2026 memory use: 83608.7 MB
- Mon Aug 10 20:22:32 2026 commencing in-memory singleton removal
- Mon Aug 10 20:22:46 2026 begin with 3356194537 relations and 3093045506 unique ideals
- Mon Aug 10 20:24:42 2026 reduce to 1707529090 relations and 1216806481 ideals in 20 passes
- Mon Aug 10 20:24:42 2026 max relations containing the same ideal: 36
- Mon Aug 10 20:25:38 2026 reading ideals above 720000
- Mon Aug 10 20:25:40 2026 commencing singleton removal, initial pass
- Mon Aug 10 23:32:02 2026 memory use: 41024.0 MB
- Mon Aug 10 23:32:03 2026 reading all ideals from disk
- Mon Aug 10 23:34:03 2026 memory use: 94457.4 MB
- Mon Aug 10 23:38:55 2026 keeping 1467318887 ideals with weight <= 200, target excess is 9974071
- Mon Aug 10 23:44:27 2026 commencing in-memory singleton removal
- Mon Aug 10 23:44:44 2026 begin with 1707529090 relations and 1467318887 unique ideals
- Mon Aug 10 23:46:41 2026 reduce to 1705883551 relations and 1465673090 ideals in 16 passes
- Mon Aug 10 23:46:41 2026 max relations containing the same ideal: 200
- Mon Aug 10 23:57:43 2026 removing 29797994 relations and 27797994 ideals in 2000000 cliques
- Mon Aug 10 23:58:34 2026 commencing in-memory singleton removal
- Mon Aug 10 23:58:49 2026 begin with 1676085557 relations and 1465673090 unique ideals
- Mon Aug 10 23:59:55 2026 reduce to 1675653689 relations and 1437442229 ideals in 10 passes
- Mon Aug 10 23:59:55 2026 max relations containing the same ideal: 200
- Tue Aug 11 00:10:22 2026 removing 21932177 relations and 19932177 ideals in 2000000 cliques
- Tue Aug 11 00:11:05 2026 commencing in-memory singleton removal
- Tue Aug 11 00:11:20 2026 begin with 1653721512 relations and 1437442229 unique ideals
- Tue Aug 11 00:12:27 2026 reduce to 1653478207 relations and 1417266326 ideals in 10 passes
- Tue Aug 11 00:12:27 2026 max relations containing the same ideal: 200
- Tue Aug 11 00:22:37 2026 removing 19369161 relations and 17369161 ideals in 2000000 cliques
- Tue Aug 11 00:23:19 2026 commencing in-memory singleton removal
- Tue Aug 11 00:23:34 2026 begin with 1634109046 relations and 1417266326 unique ideals
- Tue Aug 11 00:24:32 2026 reduce to 1633913702 relations and 1399701490 ideals in 9 passes
- Tue Aug 11 00:24:32 2026 max relations containing the same ideal: 200
- Tue Aug 11 00:34:33 2026 removing 17844146 relations and 15844146 ideals in 2000000 cliques
- Tue Aug 11 00:35:13 2026 commencing in-memory singleton removal
- Tue Aug 11 00:35:28 2026 begin with 1616069556 relations and 1399701490 unique ideals
- Tue Aug 11 00:36:31 2026 reduce to 1615899978 relations and 1383687516 ideals in 10 passes
- Tue Aug 11 00:36:31 2026 max relations containing the same ideal: 200
- Tue Aug 11 00:46:26 2026 removing 16798047 relations and 14798047 ideals in 2000000 cliques
- Tue Aug 11 00:47:06 2026 commencing in-memory singleton removal
- Tue Aug 11 00:47:21 2026 begin with 1599101931 relations and 1383687516 unique ideals
- Tue Aug 11 00:48:14 2026 reduce to 1598950121 relations and 1368737464 ideals in 8 passes
- Tue Aug 11 00:48:14 2026 max relations containing the same ideal: 200
- Tue Aug 11 00:58:06 2026 removing 15993663 relations and 13993663 ideals in 2000000 cliques
- Tue Aug 11 00:58:46 2026 commencing in-memory singleton removal
- Tue Aug 11 00:59:00 2026 begin with 1582956458 relations and 1368737464 unique ideals
- Tue Aug 11 00:59:57 2026 reduce to 1582817436 relations and 1354604569 ideals in 9 passes
- Tue Aug 11 00:59:57 2026 max relations containing the same ideal: 199
- Tue Aug 11 01:09:40 2026 removing 15361664 relations and 13361664 ideals in 2000000 cliques
- Tue Aug 11 01:10:25 2026 commencing in-memory singleton removal
- Tue Aug 11 01:10:39 2026 begin with 1567455772 relations and 1354604569 unique ideals
- Tue Aug 11 01:11:32 2026 reduce to 1567327175 relations and 1341114123 ideals in 8 passes
- Tue Aug 11 01:11:32 2026 max relations containing the same ideal: 197
- Tue Aug 11 01:21:24 2026 removing 14836505 relations and 12836505 ideals in 2000000 cliques
- Tue Aug 11 01:22:06 2026 commencing in-memory singleton removal
- Tue Aug 11 01:22:20 2026 begin with 1552490670 relations and 1341114123 unique ideals
- Tue Aug 11 01:23:10 2026 reduce to 1552368766 relations and 1328155519 ideals in 8 passes
- Tue Aug 11 01:23:10 2026 max relations containing the same ideal: 197
- Tue Aug 11 01:32:53 2026 removing 14394715 relations and 12394715 ideals in 2000000 cliques
- Tue Aug 11 01:33:30 2026 commencing in-memory singleton removal
- Tue Aug 11 01:33:44 2026 begin with 1537974051 relations and 1328155519 unique ideals
- Tue Aug 11 01:34:31 2026 reduce to 1537857433 relations and 1315644021 ideals in 7 passes
- Tue Aug 11 01:34:31 2026 max relations containing the same ideal: 195
- Tue Aug 11 01:43:53 2026 removing 14018400 relations and 12018400 ideals in 2000000 cliques
- Tue Aug 11 01:44:31 2026 commencing in-memory singleton removal
- Tue Aug 11 01:44:44 2026 begin with 1523839033 relations and 1315644021 unique ideals
- Tue Aug 11 01:45:36 2026 reduce to 1523728306 relations and 1303514723 ideals in 8 passes
- Tue Aug 11 01:45:36 2026 max relations containing the same ideal: 195
- Tue Aug 11 01:54:55 2026 removing 13679523 relations and 11679523 ideals in 2000000 cliques
- Tue Aug 11 01:55:32 2026 commencing in-memory singleton removal
- Tue Aug 11 01:55:45 2026 begin with 1510048783 relations and 1303514723 unique ideals
- Tue Aug 11 01:56:30 2026 reduce to 1509941661 relations and 1291727952 ideals in 7 passes
- Tue Aug 11 01:56:30 2026 max relations containing the same ideal: 195
- Tue Aug 11 02:05:35 2026 removing 13388837 relations and 11388837 ideals in 2000000 cliques
- Tue Aug 11 02:06:11 2026 commencing in-memory singleton removal
- Tue Aug 11 02:06:25 2026 begin with 1496552824 relations and 1291727952 unique ideals
- Tue Aug 11 02:07:09 2026 reduce to 1496450057 relations and 1280236214 ideals in 7 passes
- Tue Aug 11 02:07:09 2026 max relations containing the same ideal: 194
- Tue Aug 11 02:16:00 2026 removing 13130465 relations and 11130465 ideals in 2000000 cliques
- Tue Aug 11 02:16:36 2026 commencing in-memory singleton removal
- Tue Aug 11 02:16:50 2026 begin with 1483319592 relations and 1280236214 unique ideals
- Tue Aug 11 02:17:29 2026 reduce to 1483219854 relations and 1269005867 ideals in 6 passes
- Tue Aug 11 02:17:29 2026 max relations containing the same ideal: 194
- Tue Aug 11 02:26:27 2026 removing 12896288 relations and 10896288 ideals in 2000000 cliques
- Tue Aug 11 02:27:04 2026 commencing in-memory singleton removal
- Tue Aug 11 02:27:17 2026 begin with 1470323566 relations and 1269005867 unique ideals
- Tue Aug 11 02:28:01 2026 reduce to 1470226045 relations and 1258011925 ideals in 7 passes
- Tue Aug 11 02:28:01 2026 max relations containing the same ideal: 193
- Tue Aug 11 02:36:42 2026 removing 12684772 relations and 10684772 ideals in 2000000 cliques
- Tue Aug 11 02:37:18 2026 commencing in-memory singleton removal
- Tue Aug 11 02:37:31 2026 begin with 1457541273 relations and 1258011925 unique ideals
- Tue Aug 11 02:38:15 2026 reduce to 1457446537 relations and 1247232285 ideals in 7 passes
- Tue Aug 11 02:38:15 2026 max relations containing the same ideal: 191
- Tue Aug 11 02:47:09 2026 removing 12486360 relations and 10486360 ideals in 2000000 cliques
- Tue Aug 11 02:47:44 2026 commencing in-memory singleton removal
- Tue Aug 11 02:47:57 2026 begin with 1444960177 relations and 1247232285 unique ideals
- Tue Aug 11 02:48:39 2026 reduce to 1444867639 relations and 1236653252 ideals in 7 passes
- Tue Aug 11 02:48:39 2026 max relations containing the same ideal: 190
- Tue Aug 11 02:57:12 2026 removing 12310897 relations and 10310897 ideals in 2000000 cliques
- Tue Aug 11 02:57:46 2026 commencing in-memory singleton removal
- Tue Aug 11 02:57:59 2026 begin with 1432556742 relations and 1236653252 unique ideals
- Tue Aug 11 02:58:42 2026 reduce to 1432466470 relations and 1226251933 ideals in 7 passes
- Tue Aug 11 02:58:42 2026 max relations containing the same ideal: 189
- Tue Aug 11 03:07:02 2026 removing 12147261 relations and 10147261 ideals in 2000000 cliques
- Tue Aug 11 03:07:37 2026 commencing in-memory singleton removal
- Tue Aug 11 03:07:49 2026 begin with 1420319209 relations and 1226251933 unique ideals
- Tue Aug 11 03:08:35 2026 reduce to 1420229446 relations and 1216014770 ideals in 8 passes
- Tue Aug 11 03:08:35 2026 max relations containing the same ideal: 188
- Tue Aug 11 03:16:59 2026 removing 11996552 relations and 9996552 ideals in 2000000 cliques
- Tue Aug 11 03:17:35 2026 commencing in-memory singleton removal
- Tue Aug 11 03:17:48 2026 begin with 1408232894 relations and 1216014770 unique ideals
- Tue Aug 11 03:18:29 2026 reduce to 1408145034 relations and 1205930240 ideals in 7 passes
- Tue Aug 11 03:18:29 2026 max relations containing the same ideal: 187
- Tue Aug 11 03:26:47 2026 removing 11851120 relations and 9851120 ideals in 2000000 cliques
- Tue Aug 11 03:27:21 2026 commencing in-memory singleton removal
- Tue Aug 11 03:27:34 2026 begin with 1396293914 relations and 1205930240 unique ideals
- Tue Aug 11 03:28:15 2026 reduce to 1396206301 relations and 1195991399 ideals in 7 passes
- Tue Aug 11 03:28:15 2026 max relations containing the same ideal: 186
- Tue Aug 11 03:36:28 2026 removing 11724845 relations and 9724845 ideals in 2000000 cliques
- Tue Aug 11 03:37:02 2026 commencing in-memory singleton removal
- Tue Aug 11 03:37:14 2026 begin with 1384481456 relations and 1195991399 unique ideals
- Tue Aug 11 03:37:51 2026 reduce to 1384396967 relations and 1186181953 ideals in 6 passes
- Tue Aug 11 03:37:51 2026 max relations containing the same ideal: 186
- Tue Aug 11 03:45:45 2026 removing 11599402 relations and 9599402 ideals in 2000000 cliques
- Tue Aug 11 03:46:19 2026 commencing in-memory singleton removal
- Tue Aug 11 03:46:31 2026 begin with 1372797565 relations and 1186181953 unique ideals
- Tue Aug 11 03:47:12 2026 reduce to 1372713373 relations and 1176498253 ideals in 7 passes
- Tue Aug 11 03:47:12 2026 max relations containing the same ideal: 186
- Tue Aug 11 03:55:09 2026 removing 11486852 relations and 9486852 ideals in 2000000 cliques
- Tue Aug 11 03:55:42 2026 commencing in-memory singleton removal
- Tue Aug 11 03:55:54 2026 begin with 1361226521 relations and 1176498253 unique ideals
- Tue Aug 11 03:56:33 2026 reduce to 1361143435 relations and 1166928188 ideals in 7 passes
- Tue Aug 11 03:56:33 2026 max relations containing the same ideal: 183
- Tue Aug 11 04:04:19 2026 removing 11372709 relations and 9372709 ideals in 2000000 cliques
- Tue Aug 11 04:04:52 2026 commencing in-memory singleton removal
- Tue Aug 11 04:05:05 2026 begin with 1349770726 relations and 1166928188 unique ideals
- Tue Aug 11 04:05:48 2026 reduce to 1349688535 relations and 1157473166 ideals in 8 passes
- Tue Aug 11 04:05:48 2026 max relations containing the same ideal: 182
- Tue Aug 11 04:13:40 2026 removing 11275946 relations and 9275946 ideals in 2000000 cliques
- Tue Aug 11 04:14:12 2026 commencing in-memory singleton removal
- Tue Aug 11 04:14:24 2026 begin with 1338412589 relations and 1157473166 unique ideals
- Tue Aug 11 04:15:04 2026 reduce to 1338330835 relations and 1148115348 ideals in 7 passes
- Tue Aug 11 04:15:04 2026 max relations containing the same ideal: 181
- Tue Aug 11 04:22:47 2026 removing 11180159 relations and 9180159 ideals in 2000000 cliques
- Tue Aug 11 04:23:20 2026 commencing in-memory singleton removal
- Tue Aug 11 04:23:31 2026 begin with 1327150676 relations and 1148115348 unique ideals
- Tue Aug 11 04:24:12 2026 reduce to 1327070588 relations and 1138855001 ideals in 7 passes
- Tue Aug 11 04:24:12 2026 max relations containing the same ideal: 181
- Tue Aug 11 04:31:59 2026 removing 11085562 relations and 9085562 ideals in 2000000 cliques
- Tue Aug 11 04:32:31 2026 commencing in-memory singleton removal
- Tue Aug 11 04:32:42 2026 begin with 1315985026 relations and 1138855001 unique ideals
- Tue Aug 11 04:33:17 2026 reduce to 1315904734 relations and 1129689036 ideals in 6 passes
- Tue Aug 11 04:33:17 2026 max relations containing the same ideal: 180
- Tue Aug 11 04:40:51 2026 removing 11005145 relations and 9005145 ideals in 2000000 cliques
- Tue Aug 11 04:41:23 2026 commencing in-memory singleton removal
- Tue Aug 11 04:41:35 2026 begin with 1304899589 relations and 1129689036 unique ideals
- Tue Aug 11 04:42:10 2026 reduce to 1304820296 relations and 1120604471 ideals in 6 passes
- Tue Aug 11 04:42:10 2026 max relations containing the same ideal: 179
- Tue Aug 11 04:49:39 2026 removing 10923706 relations and 8923706 ideals in 2000000 cliques
- Tue Aug 11 04:50:10 2026 commencing in-memory singleton removal
- Tue Aug 11 04:50:22 2026 begin with 1293896590 relations and 1120604471 unique ideals
- Tue Aug 11 04:50:59 2026 reduce to 1293817087 relations and 1111601161 ideals in 7 passes
- Tue Aug 11 04:50:59 2026 max relations containing the same ideal: 179
- Tue Aug 11 04:58:25 2026 removing 10842975 relations and 8842975 ideals in 2000000 cliques
- Tue Aug 11 04:58:56 2026 commencing in-memory singleton removal
- Tue Aug 11 04:59:08 2026 begin with 1282974112 relations and 1111601161 unique ideals
- Tue Aug 11 04:59:42 2026 reduce to 1282894703 relations and 1102678639 ideals in 6 passes
- Tue Aug 11 04:59:42 2026 max relations containing the same ideal: 178
- Tue Aug 11 05:07:11 2026 removing 10777425 relations and 8777425 ideals in 2000000 cliques
- Tue Aug 11 05:07:42 2026 commencing in-memory singleton removal
- Tue Aug 11 05:07:53 2026 begin with 1272117278 relations and 1102678639 unique ideals
- Tue Aug 11 05:08:30 2026 reduce to 1272038713 relations and 1093822553 ideals in 7 passes
- Tue Aug 11 05:08:30 2026 max relations containing the same ideal: 176
- Tue Aug 11 05:15:27 2026 removing 10706561 relations and 8706561 ideals in 2000000 cliques
- Tue Aug 11 05:15:57 2026 commencing in-memory singleton removal
- Tue Aug 11 05:16:09 2026 begin with 1261332152 relations and 1093822553 unique ideals
- Tue Aug 11 05:16:47 2026 reduce to 1261253307 relations and 1085037000 ideals in 7 passes
- Tue Aug 11 05:16:47 2026 max relations containing the same ideal: 176
- Tue Aug 11 05:23:46 2026 removing 10637883 relations and 8637883 ideals in 2000000 cliques
- Tue Aug 11 05:24:16 2026 commencing in-memory singleton removal
- Tue Aug 11 05:24:28 2026 begin with 1250615424 relations and 1085037000 unique ideals
- Tue Aug 11 05:25:05 2026 reduce to 1250538316 relations and 1076321859 ideals in 7 passes
- Tue Aug 11 05:25:05 2026 max relations containing the same ideal: 176
- Tue Aug 11 05:31:58 2026 removing 10572845 relations and 8572845 ideals in 2000000 cliques
- Tue Aug 11 05:32:28 2026 commencing in-memory singleton removal
- Tue Aug 11 05:32:40 2026 begin with 1239965471 relations and 1076321859 unique ideals
- Tue Aug 11 05:33:13 2026 reduce to 1239888529 relations and 1067671915 ideals in 6 passes
- Tue Aug 11 05:33:13 2026 max relations containing the same ideal: 175
- Tue Aug 11 05:40:00 2026 removing 10514465 relations and 8514465 ideals in 2000000 cliques
- Tue Aug 11 05:40:30 2026 commencing in-memory singleton removal
- Tue Aug 11 05:40:43 2026 begin with 1229374064 relations and 1067671915 unique ideals
- Tue Aug 11 05:41:22 2026 reduce to 1229296140 relations and 1059079379 ideals in 8 passes
- Tue Aug 11 05:41:22 2026 max relations containing the same ideal: 174
- Tue Aug 11 05:48:07 2026 removing 10452547 relations and 8452547 ideals in 2000000 cliques
- Tue Aug 11 05:48:36 2026 commencing in-memory singleton removal
- Tue Aug 11 05:48:48 2026 begin with 1218843593 relations and 1059079379 unique ideals
- Tue Aug 11 05:49:23 2026 reduce to 1218765919 relations and 1050549024 ideals in 7 passes
- Tue Aug 11 05:49:23 2026 max relations containing the same ideal: 171
- Tue Aug 11 05:56:00 2026 removing 10402836 relations and 8402836 ideals in 2000000 cliques
- Tue Aug 11 05:56:29 2026 commencing in-memory singleton removal
- Tue Aug 11 05:56:41 2026 begin with 1208363083 relations and 1050549024 unique ideals
- Tue Aug 11 05:57:16 2026 reduce to 1208285870 relations and 1042068815 ideals in 7 passes
- Tue Aug 11 05:57:16 2026 max relations containing the same ideal: 171
- Tue Aug 11 06:03:47 2026 removing 10347948 relations and 8347948 ideals in 2000000 cliques
- Tue Aug 11 06:04:16 2026 commencing in-memory singleton removal
- Tue Aug 11 06:04:27 2026 begin with 1197937922 relations and 1042068815 unique ideals
- Tue Aug 11 06:05:02 2026 reduce to 1197860580 relations and 1033643398 ideals in 7 passes
- Tue Aug 11 06:05:02 2026 max relations containing the same ideal: 170
- Tue Aug 11 06:11:31 2026 removing 10297049 relations and 8297049 ideals in 2000000 cliques
- Tue Aug 11 06:12:00 2026 commencing in-memory singleton removal
- Tue Aug 11 06:12:11 2026 begin with 1187563531 relations and 1033643398 unique ideals
- Tue Aug 11 06:12:46 2026 reduce to 1187486191 relations and 1025268863 ideals in 7 passes
- Tue Aug 11 06:12:46 2026 max relations containing the same ideal: 170
- Tue Aug 11 06:19:09 2026 removing 10250621 relations and 8250621 ideals in 2000000 cliques
- Tue Aug 11 06:19:38 2026 commencing in-memory singleton removal
- Tue Aug 11 06:19:50 2026 begin with 1177235570 relations and 1025268863 unique ideals
- Tue Aug 11 06:20:27 2026 reduce to 1177158958 relations and 1016941483 ideals in 8 passes
- Tue Aug 11 06:20:27 2026 max relations containing the same ideal: 169
- Tue Aug 11 06:26:40 2026 removing 10202460 relations and 8202460 ideals in 2000000 cliques
- Tue Aug 11 06:27:07 2026 commencing in-memory singleton removal
- Tue Aug 11 06:27:20 2026 begin with 1166956498 relations and 1016941483 unique ideals
- Tue Aug 11 06:27:55 2026 reduce to 1166880014 relations and 1008662400 ideals in 7 passes
- Tue Aug 11 06:27:55 2026 max relations containing the same ideal: 168
- Tue Aug 11 06:34:07 2026 removing 10158790 relations and 8158790 ideals in 2000000 cliques
- Tue Aug 11 06:34:34 2026 commencing in-memory singleton removal
- Tue Aug 11 06:34:46 2026 begin with 1156721224 relations and 1008662400 unique ideals
- Tue Aug 11 06:35:16 2026 reduce to 1156645159 relations and 1000427414 ideals in 6 passes
- Tue Aug 11 06:35:16 2026 max relations containing the same ideal: 168
- Tue Aug 11 06:41:22 2026 removing 10118652 relations and 8118652 ideals in 2000000 cliques
- Tue Aug 11 06:41:50 2026 commencing in-memory singleton removal
- Tue Aug 11 06:42:01 2026 begin with 1146526507 relations and 1000427414 unique ideals
- Tue Aug 11 06:42:31 2026 reduce to 1146449192 relations and 992231301 ideals in 6 passes
- Tue Aug 11 06:42:31 2026 max relations containing the same ideal: 167
- Tue Aug 11 06:48:31 2026 removing 10073578 relations and 8073578 ideals in 2000000 cliques
- Tue Aug 11 06:48:58 2026 commencing in-memory singleton removal
- Tue Aug 11 06:49:10 2026 begin with 1136375614 relations and 992231301 unique ideals
- Tue Aug 11 06:49:43 2026 reduce to 1136298499 relations and 984080448 ideals in 7 passes
- Tue Aug 11 06:49:43 2026 max relations containing the same ideal: 165
- Tue Aug 11 06:55:39 2026 removing 10031732 relations and 8031732 ideals in 2000000 cliques
- Tue Aug 11 06:56:06 2026 commencing in-memory singleton removal
- Tue Aug 11 06:56:17 2026 begin with 1126266767 relations and 984080448 unique ideals
- Tue Aug 11 06:56:46 2026 reduce to 1126189258 relations and 975971046 ideals in 6 passes
- Tue Aug 11 06:56:46 2026 max relations containing the same ideal: 164
- Tue Aug 11 07:02:39 2026 removing 9996281 relations and 7996281 ideals in 2000000 cliques
- Tue Aug 11 07:03:05 2026 commencing in-memory singleton removal
- Tue Aug 11 07:03:17 2026 begin with 1116192977 relations and 975971046 unique ideals
- Tue Aug 11 07:03:45 2026 reduce to 1116115827 relations and 967897466 ideals in 6 passes
- Tue Aug 11 07:03:45 2026 max relations containing the same ideal: 163
- Tue Aug 11 07:09:31 2026 removing 9960504 relations and 7960504 ideals in 2000000 cliques
- Tue Aug 11 07:09:58 2026 commencing in-memory singleton removal
- Tue Aug 11 07:10:09 2026 begin with 1106155323 relations and 967897466 unique ideals
- Tue Aug 11 07:10:37 2026 reduce to 1106078296 relations and 959859758 ideals in 6 passes
- Tue Aug 11 07:10:37 2026 max relations containing the same ideal: 162
- Tue Aug 11 07:16:21 2026 removing 9925124 relations and 7925124 ideals in 2000000 cliques
- Tue Aug 11 07:16:48 2026 commencing in-memory singleton removal
- Tue Aug 11 07:16:58 2026 begin with 1096153172 relations and 959859758 unique ideals
- Tue Aug 11 07:17:27 2026 reduce to 1096075426 relations and 951856734 ideals in 6 passes
- Tue Aug 11 07:17:27 2026 max relations containing the same ideal: 161
- Tue Aug 11 07:23:12 2026 removing 9892775 relations and 7892775 ideals in 2000000 cliques
- Tue Aug 11 07:23:37 2026 commencing in-memory singleton removal
- Tue Aug 11 07:23:48 2026 begin with 1086182651 relations and 951856734 unique ideals
- Tue Aug 11 07:24:20 2026 reduce to 1086104746 relations and 943885906 ideals in 7 passes
- Tue Aug 11 07:24:20 2026 max relations containing the same ideal: 159
- Tue Aug 11 07:29:57 2026 removing 9861293 relations and 7861293 ideals in 2000000 cliques
- Tue Aug 11 07:30:23 2026 commencing in-memory singleton removal
- Tue Aug 11 07:30:34 2026 begin with 1076243453 relations and 943885906 unique ideals
- Tue Aug 11 07:31:05 2026 reduce to 1076165944 relations and 935946949 ideals in 7 passes
- Tue Aug 11 07:31:05 2026 max relations containing the same ideal: 159
- Tue Aug 11 07:36:38 2026 removing 9829767 relations and 7829767 ideals in 2000000 cliques
- Tue Aug 11 07:37:03 2026 commencing in-memory singleton removal
- Tue Aug 11 07:37:14 2026 begin with 1066336177 relations and 935946949 unique ideals
- Tue Aug 11 07:37:42 2026 reduce to 1066258477 relations and 928039307 ideals in 6 passes
- Tue Aug 11 07:37:42 2026 max relations containing the same ideal: 158
- Tue Aug 11 07:43:16 2026 removing 9802851 relations and 7802851 ideals in 2000000 cliques
- Tue Aug 11 07:43:41 2026 commencing in-memory singleton removal
- Tue Aug 11 07:43:52 2026 begin with 1056455626 relations and 928039307 unique ideals
- Tue Aug 11 07:44:22 2026 reduce to 1056376907 relations and 920157565 ideals in 7 passes
- Tue Aug 11 07:44:22 2026 max relations containing the same ideal: 158
- Tue Aug 11 07:49:49 2026 removing 9774939 relations and 7774939 ideals in 2000000 cliques
- Tue Aug 11 07:50:14 2026 commencing in-memory singleton removal
- Tue Aug 11 07:50:25 2026 begin with 1046601968 relations and 920157565 unique ideals
- Tue Aug 11 07:50:52 2026 reduce to 1046523729 relations and 912304190 ideals in 6 passes
- Tue Aug 11 07:50:52 2026 max relations containing the same ideal: 156
- Tue Aug 11 07:56:17 2026 removing 9737887 relations and 7737887 ideals in 2000000 cliques
- Tue Aug 11 07:56:41 2026 commencing in-memory singleton removal
- Tue Aug 11 07:56:52 2026 begin with 1036785842 relations and 912304190 unique ideals
- Tue Aug 11 07:57:18 2026 reduce to 1036707777 relations and 904488064 ideals in 6 passes
- Tue Aug 11 07:57:18 2026 max relations containing the same ideal: 154
- Tue Aug 11 08:02:42 2026 removing 9713722 relations and 7713722 ideals in 2000000 cliques
- Tue Aug 11 08:03:07 2026 commencing in-memory singleton removal
- Tue Aug 11 08:03:17 2026 begin with 1026994055 relations and 904488064 unique ideals
- Tue Aug 11 08:03:47 2026 reduce to 1026915499 relations and 896695591 ideals in 7 passes
- Tue Aug 11 08:03:47 2026 max relations containing the same ideal: 154
- Tue Aug 11 08:09:05 2026 removing 9685538 relations and 7685538 ideals in 2000000 cliques
- Tue Aug 11 08:09:29 2026 commencing in-memory singleton removal
- Tue Aug 11 08:09:39 2026 begin with 1017229961 relations and 896695591 unique ideals
- Tue Aug 11 08:10:09 2026 reduce to 1017151066 relations and 888930991 ideals in 7 passes
- Tue Aug 11 08:10:09 2026 max relations containing the same ideal: 152
- Tue Aug 11 08:15:24 2026 removing 9663369 relations and 7663369 ideals in 2000000 cliques
- Tue Aug 11 08:15:48 2026 commencing in-memory singleton removal
- Tue Aug 11 08:15:58 2026 begin with 1007487697 relations and 888930991 unique ideals
- Tue Aug 11 08:16:24 2026 reduce to 1007408405 relations and 881188117 ideals in 6 passes
- Tue Aug 11 08:16:24 2026 max relations containing the same ideal: 152
- Tue Aug 11 08:21:38 2026 removing 9639435 relations and 7639435 ideals in 2000000 cliques
- Tue Aug 11 08:22:02 2026 commencing in-memory singleton removal
- Tue Aug 11 08:22:12 2026 begin with 997768970 relations and 881188117 unique ideals
- Tue Aug 11 08:22:41 2026 reduce to 997689831 relations and 873469328 ideals in 7 passes
- Tue Aug 11 08:22:41 2026 max relations containing the same ideal: 152
- Tue Aug 11 08:27:54 2026 removing 9615818 relations and 7615818 ideals in 2000000 cliques
- Tue Aug 11 08:28:18 2026 commencing in-memory singleton removal
- Tue Aug 11 08:28:28 2026 begin with 988074013 relations and 873469328 unique ideals
- Tue Aug 11 08:28:57 2026 reduce to 987994252 relations and 865773558 ideals in 7 passes
- Tue Aug 11 08:28:57 2026 max relations containing the same ideal: 152
- Tue Aug 11 08:34:08 2026 removing 9596856 relations and 7596856 ideals in 2000000 cliques
- Tue Aug 11 08:34:31 2026 commencing in-memory singleton removal
- Tue Aug 11 08:34:41 2026 begin with 978397396 relations and 865773558 unique ideals
- Tue Aug 11 08:35:06 2026 reduce to 978317311 relations and 858096415 ideals in 6 passes
- Tue Aug 11 08:35:06 2026 max relations containing the same ideal: 151
- Tue Aug 11 08:40:09 2026 removing 9576922 relations and 7576922 ideals in 2000000 cliques
- Tue Aug 11 08:40:32 2026 commencing in-memory singleton removal
- Tue Aug 11 08:40:42 2026 begin with 968740389 relations and 858096415 unique ideals
- Tue Aug 11 08:41:09 2026 reduce to 968660115 relations and 850438994 ideals in 7 passes
- Tue Aug 11 08:41:09 2026 max relations containing the same ideal: 149
- Tue Aug 11 08:46:06 2026 removing 9550673 relations and 7550673 ideals in 2000000 cliques
- Tue Aug 11 08:46:29 2026 commencing in-memory singleton removal
- Tue Aug 11 08:46:38 2026 begin with 959109442 relations and 850438994 unique ideals
- Tue Aug 11 08:47:03 2026 reduce to 959028527 relations and 842807173 ideals in 6 passes
- Tue Aug 11 08:47:03 2026 max relations containing the same ideal: 149
- Tue Aug 11 08:52:00 2026 removing 9532760 relations and 7532760 ideals in 2000000 cliques
- Tue Aug 11 08:52:23 2026 commencing in-memory singleton removal
- Tue Aug 11 08:52:32 2026 begin with 949495767 relations and 842807173 unique ideals
- Tue Aug 11 08:52:59 2026 reduce to 949414390 relations and 835192812 ideals in 7 passes
- Tue Aug 11 08:52:59 2026 max relations containing the same ideal: 149
- Tue Aug 11 08:57:58 2026 removing 9518283 relations and 7518283 ideals in 2000000 cliques
- Tue Aug 11 08:58:21 2026 commencing in-memory singleton removal
- Tue Aug 11 08:58:31 2026 begin with 939896107 relations and 835192812 unique ideals
- Tue Aug 11 08:58:58 2026 reduce to 939814613 relations and 827592806 ideals in 7 passes
- Tue Aug 11 08:58:58 2026 max relations containing the same ideal: 149
- Tue Aug 11 09:03:50 2026 removing 9492000 relations and 7492000 ideals in 2000000 cliques
- Tue Aug 11 09:04:12 2026 commencing in-memory singleton removal
- Tue Aug 11 09:04:22 2026 begin with 930322613 relations and 827592806 unique ideals
- Tue Aug 11 09:04:46 2026 reduce to 930240325 relations and 820018296 ideals in 6 passes
- Tue Aug 11 09:04:46 2026 max relations containing the same ideal: 148
- Tue Aug 11 09:09:34 2026 removing 9477840 relations and 7477840 ideals in 2000000 cliques
- Tue Aug 11 09:09:56 2026 commencing in-memory singleton removal
- Tue Aug 11 09:10:05 2026 begin with 920762485 relations and 820018296 unique ideals
- Tue Aug 11 09:10:28 2026 reduce to 920680687 relations and 812458423 ideals in 6 passes
- Tue Aug 11 09:10:28 2026 max relations containing the same ideal: 148
- Tue Aug 11 09:15:14 2026 removing 9459086 relations and 7459086 ideals in 2000000 cliques
- Tue Aug 11 09:15:36 2026 commencing in-memory singleton removal
- Tue Aug 11 09:15:45 2026 begin with 911221601 relations and 812458423 unique ideals
- Tue Aug 11 09:16:11 2026 reduce to 911137188 relations and 804914729 ideals in 7 passes
- Tue Aug 11 09:16:11 2026 max relations containing the same ideal: 145
- Tue Aug 11 09:21:05 2026 removing 9445655 relations and 7445655 ideals in 2000000 cliques
- Tue Aug 11 09:21:27 2026 commencing in-memory singleton removal
- Tue Aug 11 09:21:36 2026 begin with 901691533 relations and 804914729 unique ideals
- Tue Aug 11 09:22:00 2026 reduce to 901607461 relations and 797384778 ideals in 6 passes
- Tue Aug 11 09:22:00 2026 max relations containing the same ideal: 145
- Tue Aug 11 09:26:31 2026 removing 9427215 relations and 7427215 ideals in 2000000 cliques
- Tue Aug 11 09:26:52 2026 commencing in-memory singleton removal
- Tue Aug 11 09:27:01 2026 begin with 892180246 relations and 797384778 unique ideals
- Tue Aug 11 09:27:27 2026 reduce to 892095841 relations and 789872955 ideals in 7 passes
- Tue Aug 11 09:27:27 2026 max relations containing the same ideal: 144
- Tue Aug 11 09:32:00 2026 removing 9413547 relations and 7413547 ideals in 2000000 cliques
- Tue Aug 11 09:32:21 2026 commencing in-memory singleton removal
- Tue Aug 11 09:32:30 2026 begin with 882682294 relations and 789872955 unique ideals
- Tue Aug 11 09:32:53 2026 reduce to 882597256 relations and 782374112 ideals in 6 passes
- Tue Aug 11 09:32:53 2026 max relations containing the same ideal: 142
- Tue Aug 11 09:37:17 2026 removing 9399777 relations and 7399777 ideals in 2000000 cliques
- Tue Aug 11 09:37:38 2026 commencing in-memory singleton removal
- Tue Aug 11 09:37:47 2026 begin with 873197479 relations and 782374112 unique ideals
- Tue Aug 11 09:38:10 2026 reduce to 873111992 relations and 774888605 ideals in 6 passes
- Tue Aug 11 09:38:10 2026 max relations containing the same ideal: 141
- Tue Aug 11 09:42:35 2026 removing 9387505 relations and 7387505 ideals in 2000000 cliques
- Tue Aug 11 09:42:56 2026 commencing in-memory singleton removal
- Tue Aug 11 09:43:07 2026 begin with 863724487 relations and 774888605 unique ideals
- Tue Aug 11 09:43:30 2026 reduce to 863638201 relations and 767414564 ideals in 6 passes
- Tue Aug 11 09:43:30 2026 max relations containing the same ideal: 140
- Tue Aug 11 09:47:49 2026 removing 9375228 relations and 7375228 ideals in 2000000 cliques
- Tue Aug 11 09:48:10 2026 commencing in-memory singleton removal
- Tue Aug 11 09:48:18 2026 begin with 854262973 relations and 767414564 unique ideals
- Tue Aug 11 09:48:41 2026 reduce to 854176585 relations and 759952724 ideals in 6 passes
- Tue Aug 11 09:48:41 2026 max relations containing the same ideal: 139
- Tue Aug 11 09:53:01 2026 removing 9358695 relations and 7358695 ideals in 2000000 cliques
- Tue Aug 11 09:53:21 2026 commencing in-memory singleton removal
- Tue Aug 11 09:53:30 2026 begin with 844817890 relations and 759952724 unique ideals
- Tue Aug 11 09:53:54 2026 reduce to 844731361 relations and 752507242 ideals in 7 passes
- Tue Aug 11 09:53:54 2026 max relations containing the same ideal: 139
- Tue Aug 11 09:58:06 2026 removing 9346809 relations and 7346809 ideals in 2000000 cliques
- Tue Aug 11 09:58:26 2026 commencing in-memory singleton removal
- Tue Aug 11 09:58:35 2026 begin with 835384552 relations and 752507242 unique ideals
- Tue Aug 11 09:58:56 2026 reduce to 835297827 relations and 745073451 ideals in 6 passes
- Tue Aug 11 09:58:56 2026 max relations containing the same ideal: 138
- Tue Aug 11 10:03:04 2026 removing 9338851 relations and 7338851 ideals in 2000000 cliques
- Tue Aug 11 10:03:24 2026 commencing in-memory singleton removal
- Tue Aug 11 10:03:32 2026 begin with 825958976 relations and 745073451 unique ideals
- Tue Aug 11 10:03:54 2026 reduce to 825870284 relations and 737645650 ideals in 6 passes
- Tue Aug 11 10:03:54 2026 max relations containing the same ideal: 137
- Tue Aug 11 10:08:00 2026 removing 9326675 relations and 7326675 ideals in 2000000 cliques
- Tue Aug 11 10:08:20 2026 commencing in-memory singleton removal
- Tue Aug 11 10:08:28 2026 begin with 816543609 relations and 737645650 unique ideals
- Tue Aug 11 10:08:52 2026 reduce to 816454594 relations and 730229696 ideals in 7 passes
- Tue Aug 11 10:08:52 2026 max relations containing the same ideal: 134
- Tue Aug 11 10:12:51 2026 removing 9314966 relations and 7314966 ideals in 2000000 cliques
- Tue Aug 11 10:13:10 2026 commencing in-memory singleton removal
- Tue Aug 11 10:13:18 2026 begin with 807139628 relations and 730229696 unique ideals
- Tue Aug 11 10:13:41 2026 reduce to 807049579 relations and 722824419 ideals in 7 passes
- Tue Aug 11 10:13:41 2026 max relations containing the same ideal: 134
- Tue Aug 11 10:17:38 2026 removing 9307344 relations and 7307344 ideals in 2000000 cliques
- Tue Aug 11 10:17:57 2026 commencing in-memory singleton removal
- Tue Aug 11 10:18:05 2026 begin with 797742235 relations and 722824419 unique ideals
- Tue Aug 11 10:18:28 2026 reduce to 797651431 relations and 715425966 ideals in 7 passes
- Tue Aug 11 10:18:28 2026 max relations containing the same ideal: 131
- Tue Aug 11 10:22:22 2026 removing 9294316 relations and 7294316 ideals in 2000000 cliques
- Tue Aug 11 10:22:41 2026 commencing in-memory singleton removal
- Tue Aug 11 10:22:49 2026 begin with 788357115 relations and 715425966 unique ideals
- Tue Aug 11 10:23:11 2026 reduce to 788266235 relations and 708040484 ideals in 7 passes
- Tue Aug 11 10:23:11 2026 max relations containing the same ideal: 131
- Tue Aug 11 10:27:02 2026 removing 9286254 relations and 7286254 ideals in 2000000 cliques
- Tue Aug 11 10:27:21 2026 commencing in-memory singleton removal
- Tue Aug 11 10:27:29 2026 begin with 778979981 relations and 708040484 unique ideals
- Tue Aug 11 10:27:51 2026 reduce to 778887737 relations and 700661653 ideals in 7 passes
- Tue Aug 11 10:27:51 2026 max relations containing the same ideal: 130
- Tue Aug 11 10:31:39 2026 removing 9277846 relations and 7277846 ideals in 2000000 cliques
- Tue Aug 11 10:31:58 2026 commencing in-memory singleton removal
- Tue Aug 11 10:32:05 2026 begin with 769609891 relations and 700661653 unique ideals
- Tue Aug 11 10:32:25 2026 reduce to 769517218 relations and 693290806 ideals in 6 passes
- Tue Aug 11 10:32:25 2026 max relations containing the same ideal: 129
- Tue Aug 11 10:36:08 2026 removing 9271195 relations and 7271195 ideals in 2000000 cliques
- Tue Aug 11 10:36:26 2026 commencing in-memory singleton removal
- Tue Aug 11 10:36:34 2026 begin with 760246023 relations and 693290806 unique ideals
- Tue Aug 11 10:36:55 2026 reduce to 760151951 relations and 685925218 ideals in 7 passes
- Tue Aug 11 10:36:55 2026 max relations containing the same ideal: 128
- Tue Aug 11 10:40:34 2026 removing 9263170 relations and 7263170 ideals in 2000000 cliques
- Tue Aug 11 10:40:53 2026 commencing in-memory singleton removal
- Tue Aug 11 10:41:00 2026 begin with 750888781 relations and 685925218 unique ideals
- Tue Aug 11 10:41:21 2026 reduce to 750794157 relations and 678567129 ideals in 7 passes
- Tue Aug 11 10:41:21 2026 max relations containing the same ideal: 127
- Tue Aug 11 10:44:56 2026 removing 9255664 relations and 7255664 ideals in 2000000 cliques
- Tue Aug 11 10:45:15 2026 commencing in-memory singleton removal
- Tue Aug 11 10:45:22 2026 begin with 741538493 relations and 678567129 unique ideals
- Tue Aug 11 10:45:41 2026 reduce to 741443077 relations and 671215717 ideals in 6 passes
- Tue Aug 11 10:45:41 2026 max relations containing the same ideal: 127
- Tue Aug 11 10:49:12 2026 removing 9252244 relations and 7252244 ideals in 2000000 cliques
- Tue Aug 11 10:49:29 2026 commencing in-memory singleton removal
- Tue Aug 11 10:49:37 2026 begin with 732190833 relations and 671215717 unique ideals
- Tue Aug 11 10:49:58 2026 reduce to 732094745 relations and 663867066 ideals in 7 passes
- Tue Aug 11 10:49:58 2026 max relations containing the same ideal: 127
- Tue Aug 11 10:53:24 2026 removing 9241938 relations and 7241938 ideals in 2000000 cliques
- Tue Aug 11 10:53:41 2026 commencing in-memory singleton removal
- Tue Aug 11 10:53:49 2026 begin with 722852807 relations and 663867066 unique ideals
- Tue Aug 11 10:54:07 2026 reduce to 722754891 relations and 656526871 ideals in 6 passes
- Tue Aug 11 10:54:07 2026 max relations containing the same ideal: 126
- Tue Aug 11 10:57:31 2026 removing 9242847 relations and 7242847 ideals in 2000000 cliques
- Tue Aug 11 10:57:48 2026 commencing in-memory singleton removal
- Tue Aug 11 10:57:56 2026 begin with 713512044 relations and 656526871 unique ideals
- Tue Aug 11 10:58:16 2026 reduce to 713413106 relations and 649184751 ideals in 7 passes
- Tue Aug 11 10:58:16 2026 max relations containing the same ideal: 126
- Tue Aug 11 11:01:35 2026 removing 9237609 relations and 7237609 ideals in 2000000 cliques
- Tue Aug 11 11:01:52 2026 commencing in-memory singleton removal
- Tue Aug 11 11:01:59 2026 begin with 704175497 relations and 649184751 unique ideals
- Tue Aug 11 11:02:22 2026 reduce to 704076041 relations and 641847303 ideals in 8 passes
- Tue Aug 11 11:02:22 2026 max relations containing the same ideal: 123
- Tue Aug 11 11:05:40 2026 removing 9231866 relations and 7231866 ideals in 2000000 cliques
- Tue Aug 11 11:05:57 2026 commencing in-memory singleton removal
- Tue Aug 11 11:06:04 2026 begin with 694844175 relations and 641847303 unique ideals
- Tue Aug 11 11:06:22 2026 reduce to 694743015 relations and 634513944 ideals in 6 passes
- Tue Aug 11 11:06:22 2026 max relations containing the same ideal: 123
- Tue Aug 11 11:09:42 2026 removing 9234854 relations and 7234854 ideals in 2000000 cliques
- Tue Aug 11 11:09:59 2026 commencing in-memory singleton removal
- Tue Aug 11 11:10:05 2026 begin with 685508161 relations and 634513944 unique ideals
- Tue Aug 11 11:10:23 2026 reduce to 685405391 relations and 627175962 ideals in 6 passes
- Tue Aug 11 11:10:23 2026 max relations containing the same ideal: 123
- Tue Aug 11 11:13:40 2026 removing 9231892 relations and 7231892 ideals in 2000000 cliques
- Tue Aug 11 11:13:56 2026 commencing in-memory singleton removal
- Tue Aug 11 11:14:03 2026 begin with 676173499 relations and 627175962 unique ideals
- Tue Aug 11 11:14:20 2026 reduce to 676070924 relations and 619841129 ideals in 6 passes
- Tue Aug 11 11:14:20 2026 max relations containing the same ideal: 122
- Tue Aug 11 11:17:33 2026 removing 9228934 relations and 7228934 ideals in 2000000 cliques
- Tue Aug 11 11:17:49 2026 commencing in-memory singleton removal
- Tue Aug 11 11:17:56 2026 begin with 666841990 relations and 619841129 unique ideals
- Tue Aug 11 11:18:13 2026 reduce to 666738027 relations and 612507868 ideals in 6 passes
- Tue Aug 11 11:18:13 2026 max relations containing the same ideal: 121
- Tue Aug 11 11:21:23 2026 removing 9232722 relations and 7232722 ideals in 2000000 cliques
- Tue Aug 11 11:21:39 2026 commencing in-memory singleton removal
- Tue Aug 11 11:21:47 2026 begin with 657505305 relations and 612507868 unique ideals
- Tue Aug 11 11:22:06 2026 reduce to 657400229 relations and 605169720 ideals in 7 passes
- Tue Aug 11 11:22:06 2026 max relations containing the same ideal: 120
- Tue Aug 11 11:25:13 2026 removing 9232919 relations and 7232919 ideals in 2000000 cliques
- Tue Aug 11 11:25:29 2026 commencing in-memory singleton removal
- Tue Aug 11 11:25:35 2026 begin with 648167310 relations and 605169720 unique ideals
- Tue Aug 11 11:25:52 2026 reduce to 648060496 relations and 597829610 ideals in 6 passes
- Tue Aug 11 11:25:52 2026 max relations containing the same ideal: 120
- Tue Aug 11 11:28:56 2026 removing 9237912 relations and 7237912 ideals in 2000000 cliques
- Tue Aug 11 11:29:12 2026 commencing in-memory singleton removal
- Tue Aug 11 11:29:18 2026 begin with 638822584 relations and 597829610 unique ideals
- Tue Aug 11 11:29:35 2026 reduce to 638713992 relations and 590482717 ideals in 6 passes
- Tue Aug 11 11:29:35 2026 max relations containing the same ideal: 118
- Tue Aug 11 11:32:38 2026 removing 9234788 relations and 7234788 ideals in 2000000 cliques
- Tue Aug 11 11:32:53 2026 commencing in-memory singleton removal
- Tue Aug 11 11:33:00 2026 begin with 629479204 relations and 590482717 unique ideals
- Tue Aug 11 11:33:17 2026 reduce to 629368966 relations and 583137275 ideals in 7 passes
- Tue Aug 11 11:33:17 2026 max relations containing the same ideal: 117
- Tue Aug 11 11:36:18 2026 removing 9238238 relations and 7238238 ideals in 2000000 cliques
- Tue Aug 11 11:36:33 2026 commencing in-memory singleton removal
- Tue Aug 11 11:36:40 2026 begin with 620130728 relations and 583137275 unique ideals
- Tue Aug 11 11:36:57 2026 reduce to 620018692 relations and 575786593 ideals in 7 passes
- Tue Aug 11 11:36:57 2026 max relations containing the same ideal: 114
- Tue Aug 11 11:39:55 2026 removing 9245835 relations and 7245835 ideals in 2000000 cliques
- Tue Aug 11 11:40:10 2026 commencing in-memory singleton removal
- Tue Aug 11 11:40:16 2026 begin with 610772857 relations and 575786593 unique ideals
- Tue Aug 11 11:40:34 2026 reduce to 610660186 relations and 568427632 ideals in 7 passes
- Tue Aug 11 11:40:34 2026 max relations containing the same ideal: 113
- Tue Aug 11 11:43:31 2026 removing 9252425 relations and 7252425 ideals in 2000000 cliques
- Tue Aug 11 11:43:46 2026 commencing in-memory singleton removal
- Tue Aug 11 11:43:52 2026 begin with 601407761 relations and 568427632 unique ideals
- Tue Aug 11 11:44:09 2026 reduce to 601293003 relations and 561060013 ideals in 7 passes
- Tue Aug 11 11:44:09 2026 max relations containing the same ideal: 112
- Tue Aug 11 11:47:02 2026 removing 9252381 relations and 7252381 ideals in 2000000 cliques
- Tue Aug 11 11:47:17 2026 commencing in-memory singleton removal
- Tue Aug 11 11:47:23 2026 begin with 592040622 relations and 561060013 unique ideals
- Tue Aug 11 11:47:40 2026 reduce to 591923066 relations and 553689601 ideals in 7 passes
- Tue Aug 11 11:47:40 2026 max relations containing the same ideal: 110
- Tue Aug 11 11:50:31 2026 removing 9266679 relations and 7266679 ideals in 2000000 cliques
- Tue Aug 11 11:50:45 2026 commencing in-memory singleton removal
- Tue Aug 11 11:50:52 2026 begin with 582656387 relations and 553689601 unique ideals
- Tue Aug 11 11:51:07 2026 reduce to 582536176 relations and 546302266 ideals in 6 passes
- Tue Aug 11 11:51:07 2026 max relations containing the same ideal: 107
- Tue Aug 11 11:53:53 2026 removing 9276968 relations and 7276968 ideals in 2000000 cliques
- Tue Aug 11 11:54:07 2026 commencing in-memory singleton removal
- Tue Aug 11 11:54:13 2026 begin with 573259208 relations and 546302266 unique ideals
- Tue Aug 11 11:54:29 2026 reduce to 573137555 relations and 538903201 ideals in 7 passes
- Tue Aug 11 11:54:29 2026 max relations containing the same ideal: 106
- Tue Aug 11 11:57:10 2026 removing 9286398 relations and 7286398 ideals in 2000000 cliques
- Tue Aug 11 11:57:24 2026 commencing in-memory singleton removal
- Tue Aug 11 11:57:30 2026 begin with 563851157 relations and 538903201 unique ideals
- Tue Aug 11 11:57:45 2026 reduce to 563727908 relations and 531493102 ideals in 6 passes
- Tue Aug 11 11:57:45 2026 max relations containing the same ideal: 104
- Tue Aug 11 12:00:23 2026 removing 9299447 relations and 7299447 ideals in 2000000 cliques
- Tue Aug 11 12:00:37 2026 commencing in-memory singleton removal
- Tue Aug 11 12:00:42 2026 begin with 554428461 relations and 531493102 unique ideals
- Tue Aug 11 12:00:56 2026 reduce to 554303450 relations and 524068148 ideals in 6 passes
- Tue Aug 11 12:00:56 2026 max relations containing the same ideal: 103
- Tue Aug 11 12:03:31 2026 removing 9311833 relations and 7311833 ideals in 2000000 cliques
- Tue Aug 11 12:03:45 2026 commencing in-memory singleton removal
- Tue Aug 11 12:03:50 2026 begin with 544991617 relations and 524068148 unique ideals
- Tue Aug 11 12:04:04 2026 reduce to 544862937 relations and 516627086 ideals in 6 passes
- Tue Aug 11 12:04:04 2026 max relations containing the same ideal: 103
- Tue Aug 11 12:06:38 2026 removing 9328000 relations and 7328000 ideals in 2000000 cliques
- Tue Aug 11 12:06:51 2026 commencing in-memory singleton removal
- Tue Aug 11 12:06:56 2026 begin with 535534937 relations and 516627086 unique ideals
- Tue Aug 11 12:07:11 2026 reduce to 535404734 relations and 509168354 ideals in 7 passes
- Tue Aug 11 12:07:11 2026 max relations containing the same ideal: 102
- Tue Aug 11 12:09:42 2026 removing 9346920 relations and 7346920 ideals in 2000000 cliques
- Tue Aug 11 12:09:55 2026 commencing in-memory singleton removal
- Tue Aug 11 12:10:00 2026 begin with 526057814 relations and 509168354 unique ideals
- Tue Aug 11 12:10:15 2026 reduce to 525924097 relations and 501687201 ideals in 7 passes
- Tue Aug 11 12:10:15 2026 max relations containing the same ideal: 101
- Tue Aug 11 12:12:42 2026 removing 9363926 relations and 7363926 ideals in 2000000 cliques
- Tue Aug 11 12:12:55 2026 commencing in-memory singleton removal
- Tue Aug 11 12:13:01 2026 begin with 516560171 relations and 501687201 unique ideals
- Tue Aug 11 12:13:14 2026 reduce to 516423357 relations and 494185908 ideals in 6 passes
- Tue Aug 11 12:13:14 2026 max relations containing the same ideal: 99
- Tue Aug 11 12:15:40 2026 removing 9384743 relations and 7384743 ideals in 2000000 cliques
- Tue Aug 11 12:15:52 2026 commencing in-memory singleton removal
- Tue Aug 11 12:15:58 2026 begin with 507038614 relations and 494185908 unique ideals
- Tue Aug 11 12:16:13 2026 reduce to 506900235 relations and 486662218 ideals in 7 passes
- Tue Aug 11 12:16:13 2026 max relations containing the same ideal: 98
- Tue Aug 11 12:18:35 2026 removing 9410748 relations and 7410748 ideals in 2000000 cliques
- Tue Aug 11 12:18:48 2026 commencing in-memory singleton removal
- Tue Aug 11 12:18:53 2026 begin with 497489487 relations and 486662218 unique ideals
- Tue Aug 11 12:19:06 2026 reduce to 497346019 relations and 479107403 ideals in 7 passes
- Tue Aug 11 12:19:06 2026 max relations containing the same ideal: 98
- Tue Aug 11 12:21:26 2026 removing 9433225 relations and 7433225 ideals in 2000000 cliques
- Tue Aug 11 12:21:38 2026 commencing in-memory singleton removal
- Tue Aug 11 12:21:43 2026 begin with 487912794 relations and 479107403 unique ideals
- Tue Aug 11 12:21:57 2026 reduce to 487765275 relations and 471526097 ideals in 7 passes
- Tue Aug 11 12:21:57 2026 max relations containing the same ideal: 97
- Tue Aug 11 12:24:14 2026 removing 9462583 relations and 7462583 ideals in 2000000 cliques
- Tue Aug 11 12:24:26 2026 commencing in-memory singleton removal
- Tue Aug 11 12:24:31 2026 begin with 478302692 relations and 471526097 unique ideals
- Tue Aug 11 12:24:44 2026 reduce to 478151175 relations and 463911341 ideals in 7 passes
- Tue Aug 11 12:24:44 2026 max relations containing the same ideal: 95
- Tue Aug 11 12:27:01 2026 removing 9496667 relations and 7496667 ideals in 2000000 cliques
- Tue Aug 11 12:27:13 2026 commencing in-memory singleton removal
- Tue Aug 11 12:27:19 2026 begin with 468654508 relations and 463911341 unique ideals
- Tue Aug 11 12:27:30 2026 reduce to 468499995 relations and 456259511 ideals in 6 passes
- Tue Aug 11 12:27:30 2026 max relations containing the same ideal: 93
- Tue Aug 11 12:29:42 2026 removing 3830548 relations and 3159987 ideals in 670561 cliques
- Tue Aug 11 12:29:53 2026 commencing in-memory singleton removal
- Tue Aug 11 12:29:57 2026 begin with 464669447 relations and 456259511 unique ideals
- Tue Aug 11 12:30:09 2026 reduce to 464647087 relations and 453077131 ideals in 6 passes
- Tue Aug 11 12:30:09 2026 max relations containing the same ideal: 92
- Tue Aug 11 12:31:12 2026 relations with 0 large ideals: 780805
- Tue Aug 11 12:31:12 2026 relations with 1 large ideals: 530732
- Tue Aug 11 12:31:12 2026 relations with 2 large ideals: 4853790
- Tue Aug 11 12:31:12 2026 relations with 3 large ideals: 24156544
- Tue Aug 11 12:31:12 2026 relations with 4 large ideals: 69208568
- Tue Aug 11 12:31:12 2026 relations with 5 large ideals: 119630156
- Tue Aug 11 12:31:12 2026 relations with 6 large ideals: 126289431
- Tue Aug 11 12:31:12 2026 relations with 7+ large ideals: 119197061
- Tue Aug 11 12:31:12 2026 commencing 2-way merge
- Tue Aug 11 12:34:48 2026 reduce to 286633599 relation sets and 275063643 unique ideals
- Tue Aug 11 12:34:48 2026 commencing full merge
- Tue Aug 11 13:48:01 2026 memory use: 32326.9 MB
- Tue Aug 11 13:48:30 2026 found 136997635 cycles, need 135441843
- Tue Aug 11 13:49:25 2026 weight of 135441843 cycles is about 14898928643 (110.00/cycle)
- Tue Aug 11 13:49:26 2026 distribution of cycle lengths:
- Tue Aug 11 13:49:26 2026 1 relations: 9574128
- Tue Aug 11 13:49:26 2026 2 relations: 11319861
- Tue Aug 11 13:49:26 2026 3 relations: 12740756
- Tue Aug 11 13:49:26 2026 4 relations: 12375431
- Tue Aug 11 13:49:26 2026 5 relations: 11966861
- Tue Aug 11 13:49:26 2026 6 relations: 11345968
- Tue Aug 11 13:49:26 2026 7 relations: 10521267
- Tue Aug 11 13:49:26 2026 8 relations: 9582050
- Tue Aug 11 13:49:26 2026 9 relations: 8701831
- Tue Aug 11 13:49:26 2026 10+ relations: 37313690
- Tue Aug 11 13:49:26 2026 heaviest cycle: 23 relations
- Tue Aug 11 13:50:23 2026 commencing cycle optimization
- Tue Aug 11 13:54:30 2026 start with 955950174 relations
- Tue Aug 11 14:22:22 2026 pruned 26099986 relations
- Tue Aug 11 14:22:33 2026 memory use: 29045.6 MB
- Tue Aug 11 14:22:34 2026 distribution of cycle lengths:
- Tue Aug 11 14:22:34 2026 1 relations: 9574128
- Tue Aug 11 14:22:34 2026 2 relations: 11578877
- Tue Aug 11 14:22:34 2026 3 relations: 13207742
- Tue Aug 11 14:22:34 2026 4 relations: 12730049
- Tue Aug 11 14:22:34 2026 5 relations: 12340202
- Tue Aug 11 14:22:34 2026 6 relations: 11617589
- Tue Aug 11 14:22:34 2026 7 relations: 10768023
- Tue Aug 11 14:22:34 2026 8 relations: 9761564
- Tue Aug 11 14:22:34 2026 9 relations: 8825140
- Tue Aug 11 14:22:34 2026 10+ relations: 35038529
- Tue Aug 11 14:22:34 2026 heaviest cycle: 23 relations
- Tue Aug 11 14:28:17 2026 RelProcTime: 80547
- Tue Aug 11 14:28:17 2026 elapsed time 22:22:28
- Tue Aug 11 14:28:19 2026
- Tue Aug 11 14:28:19 2026
- Tue Aug 11 14:28:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Aug 11 14:28:19 2026 random seeds: af36e58a 140e244b
- Tue Aug 11 14:28:19 2026 MPI process 0 of 1
- Tue Aug 11 14:28:19 2026 Using 46 OpenMP threads
- Tue Aug 11 14:28:19 2026 factoring 626708871872729635240544510098758471567240378337357036644878252703989283135684925708089114922879036772044653958887097990374110400215842511262101080090505949913957525354566563643679885036557015603576091908920351610893448628453934470899678705253063343521 (252 digits)
- Tue Aug 11 14:28:20 2026 no P-1/P+1/ECM available, skipping
- Tue Aug 11 14:28:20 2026 commencing number field sieve (252-digit input)
- Tue Aug 11 14:28:20 2026 R0: -7395104114874202511988394360121831439224179537192802907
- Tue Aug 11 14:28:20 2026 R1: 1
- Tue Aug 11 14:28:20 2026 A0: 1
- Tue Aug 11 14:28:20 2026 A1: -1
- Tue Aug 11 14:28:20 2026 A2: 1
- Tue Aug 11 14:28:20 2026 A3: -1
- Tue Aug 11 14:28:20 2026 A4: 1
- Tue Aug 11 14:28:20 2026 A5: -1
- Tue Aug 11 14:28:20 2026 A6: 1
- Tue Aug 11 14:28:20 2026 skew 1.41, size 4.093e-16, alpha 2.428, combined = 2.569e-16 rroots = 0
- Tue Aug 11 14:28:20 2026
- Tue Aug 11 14:28:20 2026 commencing linear algebra
- Tue Aug 11 14:28:20 2026 using VBITS=128
- Tue Aug 11 14:28:20 2026 stopping after matrix build
- Tue Aug 11 14:28:20 2026 initialized process (0,0) of 1 x 1 grid
- Tue Aug 11 14:28:39 2026 read 135441843 cycles
- Tue Aug 11 14:33:51 2026 cycles contain 458617191 unique relations
- Tue Aug 11 14:44:25 2026 read 458617191 relations
- Tue Aug 11 14:45:09 2026 using 20 quadratic characters above 4294917295
- Tue Aug 11 14:46:09 2026 building initial matrix
- Tue Aug 11 16:25:07 2026 memory use: 60860.8 MB
- Tue Aug 11 16:27:14 2026 read 135441843 cycles
- Tue Aug 11 16:27:31 2026 matrix is 135441665 x 135441843 (60175.4 MB) with weight 17041504647 (125.82/col)
- Tue Aug 11 16:27:31 2026 sparse part has weight 14284752397 (105.47/col)
- Tue Aug 11 17:01:46 2026 filtering completed in 2 passes
- Tue Aug 11 17:02:10 2026 matrix is 135412781 x 135412955 (60173.2 MB) with weight 17040693489 (125.84/col)
- Tue Aug 11 17:02:10 2026 sparse part has weight 14284500751 (105.49/col)
- Tue Aug 11 17:07:14 2026 BLanczosTime: 9534
- Tue Aug 11 17:07:14 2026 elapsed time 02:38:55
- Tue Aug 11 23:06:00 2026
- Tue Aug 11 23:06:00 2026
- Tue Aug 11 23:06:00 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Aug 11 23:06:00 2026 random seeds: ba1b84d4 dc5b1257
- Tue Aug 11 23:06:00 2026 MPI process 0 of 4
- Tue Aug 11 23:06:00 2026 Using 15 OpenMP threads
- Tue Aug 11 23:06:00 2026 factoring 626708871872729635240544510098758471567240378337357036644878252703989283135684925708089114922879036772044653958887097990374110400215842511262101080090505949913957525354566563643679885036557015603576091908920351610893448628453934470899678705253063343521 (252 digits)
- Tue Aug 11 23:06:01 2026 no P-1/P+1/ECM available, skipping
- Tue Aug 11 23:06:01 2026 commencing number field sieve (252-digit input)
- Tue Aug 11 23:06:01 2026 R0: -7395104114874202511988394360121831439224179537192802907
- Tue Aug 11 23:06:01 2026 R1: 1
- Tue Aug 11 23:06:01 2026 A0: 1
- Tue Aug 11 23:06:01 2026 A1: -1
- Tue Aug 11 23:06:01 2026 A2: 1
- Tue Aug 11 23:06:01 2026 A3: -1
- Tue Aug 11 23:06:01 2026 A4: 1
- Tue Aug 11 23:06:01 2026 A5: -1
- Tue Aug 11 23:06:01 2026 A6: 1
- Tue Aug 11 23:06:01 2026 skew 1.41, size 4.093e-16, alpha 2.428, combined = 2.569e-16 rroots = 0
- Tue Aug 11 23:06:01 2026
- Tue Aug 11 23:06:01 2026 commencing linear algebra
- Tue Aug 11 23:06:01 2026 using VBITS=256
- Tue Aug 11 23:06:01 2026 skipping matrix build
- Tue Aug 11 23:06:01 2026 initialized process (0,0) of 2 x 2 grid
- Tue Aug 11 23:07:05 2026 matrix starts at (0, 0)
- Tue Aug 11 23:07:08 2026 matrix is 67706511 x 67706492 (17522.0 MB) with weight 5226634055 (77.20/col)
- Tue Aug 11 23:07:08 2026 sparse part has weight 3848515268 (56.84/col)
- Tue Aug 11 23:07:08 2026 saving the first 240 matrix rows for later
- Tue Aug 11 23:07:21 2026 matrix includes 256 packed rows
- Tue Aug 11 23:07:29 2026 matrix is 67706271 x 67706492 (15854.0 MB) with weight 3296264949 (48.68/col)
- Tue Aug 11 23:07:29 2026 sparse part has weight 3072718642 (45.38/col)
- Tue Aug 11 23:07:29 2026 using GPU 0 (NVIDIA H200)
- Tue Aug 11 23:07:29 2026 selected card has CUDA arch 9.0
- Tue Aug 11 23:12:05 2026 commencing Lanczos iteration
- Tue Aug 11 23:12:07 2026 memory use: 36873.5 MB
- Tue Aug 11 23:12:45 2026 linear algebra at 0.0%, ETA 44h11m
- Tue Aug 11 23:13:38 2026 checking every 50000 dimensions, checkpointing every 3150000 dimensions
- Thu Aug 13 19:13:44 2026 lanczos halted after 530537 iterations (dim = 135412539)
- Thu Aug 13 19:21:55 2026 recovered 39 nontrivial dependencies
- Thu Aug 13 19:21:56 2026 BLanczosTime: 159355
- Thu Aug 13 19:21:56 2026 elapsed time 44:15:56
- Thu Aug 13 19:21:59 2026
- Thu Aug 13 19:21:59 2026
- Thu Aug 13 19:21:59 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Thu Aug 13 19:21:59 2026 random seeds: 38430265 1b51e030
- Thu Aug 13 19:21:59 2026 MPI process 0 of 1
- Thu Aug 13 19:21:59 2026 Using 32 OpenMP threads
- Thu Aug 13 19:21:59 2026 factoring 626708871872729635240544510098758471567240378337357036644878252703989283135684925708089114922879036772044653958887097990374110400215842511262101080090505949913957525354566563643679885036557015603576091908920351610893448628453934470899678705253063343521 (252 digits)
- Thu Aug 13 19:22:00 2026 no P-1/P+1/ECM available, skipping
- Thu Aug 13 19:22:00 2026 commencing number field sieve (252-digit input)
- Thu Aug 13 19:22:00 2026 R0: -7395104114874202511988394360121831439224179537192802907
- Thu Aug 13 19:22:00 2026 R1: 1
- Thu Aug 13 19:22:00 2026 A0: 1
- Thu Aug 13 19:22:00 2026 A1: -1
- Thu Aug 13 19:22:00 2026 A2: 1
- Thu Aug 13 19:22:00 2026 A3: -1
- Thu Aug 13 19:22:00 2026 A4: 1
- Thu Aug 13 19:22:00 2026 A5: -1
- Thu Aug 13 19:22:00 2026 A6: 1
- Thu Aug 13 19:22:00 2026 skew 1.41, size 4.093e-16, alpha 2.428, combined = 2.569e-16 rroots = 0
- Thu Aug 13 19:22:00 2026
- Thu Aug 13 19:22:00 2026 commencing square root phase
- Thu Aug 13 19:22:00 2026 reading relations for dependency 1
- Thu Aug 13 19:22:17 2026 read 67707352 cycles
- Thu Aug 13 19:24:32 2026 cycles contain 229307262 unique relations
- Thu Aug 13 19:34:08 2026 read 229307262 relations
- Thu Aug 13 19:52:38 2026 multiplying 229307262 relations
- Thu Aug 13 20:09:58 2026 multiply complete, coefficients have about 6643.86 million bits
- Thu Aug 13 20:10:24 2026 initial square root is modulo 28222547
- Thu Aug 13 21:02:17 2026 sqrtTime: 6017
- Thu Aug 13 21:02:17 2026 p90 factor: 118762426082486508083193534964136078905560679339189358025432088186615097306494269336682531
- Thu Aug 13 21:02:17 2026 p163 factor: 5276996206169185572424971906871385960775118646941020300070948642695496009323168882930374140209147716982112838370249439720093855041347472338059922596844332894717291
- Thu Aug 13 21:02:17 2026 elapsed time 01:40:18
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