Sun Jul 12 23:26:26 2026 Sun Jul 12 23:26:26 2026 Sun Jul 12 23:26:26 2026 Msieve v. 1.54 (SVN unknown) Sun Jul 12 23:26:26 2026 random seeds: 21fc1fc6 c32a56be Sun Jul 12 23:26:26 2026 Using 8 OpenMP threads Sun Jul 12 23:26:26 2026 factoring 32816892209736921070586534275285152147876117092320368654154178377755979251704686618361135623125872073499667712408693800634205329829481118466453075926757977043298971179161165044150687756369 (188 digits) Sun Jul 12 23:26:27 2026 no P-1/P+1/ECM available, skipping Sun Jul 12 23:26:27 2026 commencing number field sieve (188-digit input) Sun Jul 12 23:26:27 2026 R0: -5892385653532317956386874730756933622 Sun Jul 12 23:26:27 2026 R1: 187101097962709726245277 Sun Jul 12 23:26:27 2026 A0: -48477669427482880470533694641343541435850 Sun Jul 12 23:26:27 2026 A1: 176776693267429364048227888123591509 Sun Jul 12 23:26:27 2026 A2: 20418981464678264379084354944 Sun Jul 12 23:26:27 2026 A3: -4668574974792645809883 Sun Jul 12 23:26:27 2026 A4: -103183122103200 Sun Jul 12 23:26:27 2026 A5: 4158000 Sun Jul 12 23:26:27 2026 skew 13700519.08, size 3.705e-18, alpha -7.290, combined = 4.143e-14 rroots = 5 Sun Jul 12 23:26:27 2026 Sun Jul 12 23:26:27 2026 commencing relation filtering Sun Jul 12 23:26:27 2026 setting 3 target densities:Sun Jul 12 23:26:27 2026 90Sun Jul 12 23:26:27 2026 110Sun Jul 12 23:26:27 2026 130Sun Jul 12 23:26:27 2026 Sun Jul 12 23:26:27 2026 estimated available RAM is 78540.1 MB Sun Jul 12 23:26:27 2026 commencing duplicate removal, pass 1 Sun Jul 12 23:27:04 2026 error -1 reading relation 29389088 Sun Jul 12 23:27:18 2026 error -1 reading relation 41122861 Sun Jul 12 23:27:24 2026 error -1 reading relation 45352000 Sun Jul 12 23:27:44 2026 error -1 reading relation 60363017 Sun Jul 12 23:27:49 2026 error -1 reading relation 66033094 Sun Jul 12 23:28:07 2026 error -1 reading relation 79265620 Sun Jul 12 23:28:07 2026 error -1 reading relation 79398996 Sun Jul 12 23:28:08 2026 error -1 reading relation 80243079 Sun Jul 12 23:28:10 2026 error -1 reading relation 81634773 Sun Jul 12 23:28:23 2026 error -1 reading relation 93168052 Sun Jul 12 23:28:26 2026 error -1 reading relation 95482860 Sun Jul 12 23:28:27 2026 error -1 reading relation 95914476 Sun Jul 12 23:28:27 2026 error -1 reading relation 96107183 Sun Jul 12 23:28:30 2026 error -1 reading relation 98504941 Sun Jul 12 23:29:13 2026 error -1 reading relation 132902597 Sun Jul 12 23:29:17 2026 error -1 reading relation 135830593 Sun Jul 12 23:29:21 2026 error -1 reading relation 140324637 Sun Jul 12 23:29:32 2026 error -1 reading relation 148256165 Sun Jul 12 23:29:32 2026 error -1 reading relation 148257525 Sun Jul 12 23:30:02 2026 error -1 reading relation 172659016 Sun Jul 12 23:30:47 2026 error -1 reading relation 208453882 Sun Jul 12 23:30:55 2026 error -1 reading relation 215730725 Sun Jul 12 23:31:20 2026 error -1 reading relation 233979681 Sun Jul 12 23:31:22 2026 error -1 reading relation 236793531 Sun Jul 12 23:32:03 2026 error -1 reading relation 267215317 Sun Jul 12 23:32:06 2026 error -1 reading relation 269068932 Sun Jul 12 23:32:08 2026 error -1 reading relation 270818511 Sun Jul 12 23:32:11 2026 error -1 reading relation 272965963 Sun Jul 12 23:32:49 2026 error -1 reading relation 302900573 Sun Jul 12 23:32:50 2026 error -1 reading relation 303605053 Sun Jul 12 23:33:08 2026 error -1 reading relation 317882969 Sun Jul 12 23:33:20 2026 error -1 reading relation 327817422 Sun Jul 12 23:33:34 2026 error -1 reading relation 339211238 Sun Jul 12 23:33:35 2026 error -1 reading relation 340218479 Sun Jul 12 23:33:43 2026 error -1 reading relation 346301212 Sun Jul 12 23:33:44 2026 error -15 reading relation 347255332 Sun Jul 12 23:33:53 2026 error -1 reading relation 353926157 Sun Jul 12 23:33:53 2026 error -1 reading relation 355484959 Sun Jul 12 23:34:17 2026 error -1 reading relation 372301833 Sun Jul 12 23:34:18 2026 error -1 reading relation 372741410 Sun Jul 12 23:34:23 2026 error -1 reading relation 377550059 Sun Jul 12 23:34:33 2026 error -1 reading relation 384403902 Sun Jul 12 23:34:39 2026 error -1 reading relation 388555847 Sun Jul 12 23:34:55 2026 error -1 reading relation 402193961 Sun Jul 12 23:34:57 2026 error -1 reading relation 403569641 Sun Jul 12 23:34:58 2026 error -1 reading relation 405017346 Sun Jul 12 23:35:33 2026 error -1 reading relation 432883181 Sun Jul 12 23:35:35 2026 error -1 reading relation 434367781 Sun Jul 12 23:35:48 2026 error -1 reading relation 445362782 Sun Jul 12 23:35:55 2026 error -1 reading relation 451906060 Sun Jul 12 23:36:00 2026 error -1 reading relation 455933681 Sun Jul 12 23:36:36 2026 error -1 reading relation 485502948 Sun Jul 12 23:36:44 2026 error -1 reading relation 492347295 Sun Jul 12 23:36:55 2026 error -1 reading relation 501393278 Sun Jul 12 23:37:01 2026 error -1 reading relation 507802410 Sun Jul 12 23:37:04 2026 error -1 reading relation 510308741 Sun Jul 12 23:37:04 2026 error -1 reading relation 510342768 Sun Jul 12 23:37:04 2026 error -1 reading relation 510687101 Sun Jul 12 23:37:29 2026 error -1 reading relation 532401808 Sun Jul 12 23:37:35 2026 error -1 reading relation 536980671 Sun Jul 12 23:37:40 2026 error -1 reading relation 540957304 Sun Jul 12 23:37:45 2026 error -1 reading relation 544575102 Sun Jul 12 23:37:46 2026 error -1 reading relation 545613288 Sun Jul 12 23:37:49 2026 error -1 reading relation 547882058 Sun Jul 12 23:37:52 2026 error -1 reading relation 550085436 Sun Jul 12 23:38:00 2026 error -1 reading relation 554492593 Sun Jul 12 23:38:08 2026 error -1 reading relation 558052093 Sun Jul 12 23:38:16 2026 error -1 reading relation 562215998 Sun Jul 12 23:38:20 2026 error -1 reading relation 564156538 Sun Jul 12 23:38:26 2026 error -1 reading relation 566955476 Sun Jul 12 23:38:30 2026 error -1 reading relation 569513927 Sun Jul 12 23:38:40 2026 error -15 reading relation 574225000 Sun Jul 12 23:38:40 2026 error -1 reading relation 574225001 Sun Jul 12 23:38:47 2026 error -1 reading relation 576996973 Sun Jul 12 23:39:02 2026 error -1 reading relation 583776521 Sun Jul 12 23:39:10 2026 error -1 reading relation 586564452 Sun Jul 12 23:39:38 2026 error -1 reading relation 591508920 Sun Jul 12 23:39:49 2026 error -1 reading relation 593296065 Sun Jul 12 23:39:50 2026 error -1 reading relation 593437263 Sun Jul 12 23:39:51 2026 error -1 reading relation 593574826 Sun Jul 12 23:39:51 2026 error -1 reading relation 593576902 Sun Jul 12 23:39:51 2026 error -1 reading relation 593591538 Sun Jul 12 23:40:01 2026 error -1 reading relation 595130318 Sun Jul 12 23:40:06 2026 error -1 reading relation 595662263 Sun Jul 12 23:40:19 2026 error -1 reading relation 597923852 Sun Jul 12 23:40:20 2026 error -1 reading relation 598182841 Sun Jul 12 23:40:29 2026 error -1 reading relation 599976326 Sun Jul 12 23:40:29 2026 error -1 reading relation 600078016 Sun Jul 12 23:40:50 2026 error -1 reading relation 604474158 Sun Jul 12 23:41:07 2026 error -1 reading relation 611181975 Sun Jul 12 23:41:09 2026 error -1 reading relation 611634240 Sun Jul 12 23:41:10 2026 error -15 reading relation 611692368 Sun Jul 12 23:41:10 2026 error -15 reading relation 611715872 Sun Jul 12 23:41:10 2026 error -15 reading relation 611717647 Sun Jul 12 23:41:10 2026 error -15 reading relation 611735995 Sun Jul 12 23:42:04 2026 error -1 reading relation 624486877 Sun Jul 12 23:43:06 2026 error -1 reading relation 638440029 Sun Jul 12 23:44:08 2026 skipped 1 relations with b > 2^32 Sun Jul 12 23:44:08 2026 skipped 4 relations with composite factors Sun Jul 12 23:44:08 2026 skipped 854 malformed relations Sun Jul 12 23:44:08 2026 found 123301582 hash collisions in 652003871 relations Sun Jul 12 23:44:27 2026 added 121896 free relations Sun Jul 12 23:44:27 2026 commencing duplicate removal, pass 2 Sun Jul 12 23:56:04 2026 found 127534596 duplicates and 524591171 unique relations Sun Jul 12 23:56:04 2026 memory use: 3411.0 MB Sun Jul 12 23:56:04 2026 reading ideals above 281870336 Sun Jul 12 23:56:04 2026 commencing singleton removal, initial pass Mon Jul 13 00:41:59 2026 memory use: 11024.0 MB Mon Jul 13 00:42:00 2026 reading all ideals from disk Mon Jul 13 00:42:10 2026 memory use: 13680.9 MB Mon Jul 13 00:42:36 2026 commencing in-memory singleton removal Mon Jul 13 00:42:44 2026 begin with 524591171 relations and 448826050 unique ideals Mon Jul 13 00:43:54 2026 reduce to 332692594 relations and 237464768 ideals in 14 passes Mon Jul 13 00:43:54 2026 max relations containing the same ideal: 34 Mon Jul 13 00:44:06 2026 reading ideals above 720000 Mon Jul 13 00:44:07 2026 commencing singleton removal, initial pass Mon Jul 13 01:28:33 2026 memory use: 6024.0 MB Mon Jul 13 01:28:33 2026 reading all ideals from disk Mon Jul 13 01:28:47 2026 memory use: 16532.0 MB Mon Jul 13 01:29:27 2026 keeping 266415226 ideals with weight <= 200, target excess is 1691146 Mon Jul 13 01:30:20 2026 commencing in-memory singleton removal Mon Jul 13 01:30:28 2026 begin with 332692594 relations and 266415226 unique ideals Mon Jul 13 01:31:11 2026 reduce to 332689222 relations and 266411854 ideals in 6 passes Mon Jul 13 01:31:11 2026 max relations containing the same ideal: 200 Mon Jul 13 01:34:16 2026 removing 13553289 relations and 11553289 ideals in 2000000 cliques Mon Jul 13 01:34:25 2026 commencing in-memory singleton removal Mon Jul 13 01:34:34 2026 begin with 319135933 relations and 266411854 unique ideals Mon Jul 13 01:35:30 2026 reduce to 318730340 relations and 254449602 ideals in 8 passes Mon Jul 13 01:35:30 2026 max relations containing the same ideal: 200 Mon Jul 13 01:38:29 2026 removing 10261497 relations and 8261498 ideals in 2000000 cliques Mon Jul 13 01:38:37 2026 commencing in-memory singleton removal Mon Jul 13 01:38:44 2026 begin with 308468843 relations and 254449602 unique ideals Mon Jul 13 01:39:46 2026 reduce to 308207992 relations and 245925489 ideals in 9 passes Mon Jul 13 01:39:46 2026 max relations containing the same ideal: 199 Mon Jul 13 01:42:34 2026 removing 9217300 relations and 7217300 ideals in 2000000 cliques Mon Jul 13 01:42:41 2026 commencing in-memory singleton removal Mon Jul 13 01:42:47 2026 begin with 298990692 relations and 245925489 unique ideals Mon Jul 13 01:43:38 2026 reduce to 298769965 relations and 238485974 ideals in 8 passes Mon Jul 13 01:43:38 2026 max relations containing the same ideal: 198 Mon Jul 13 01:46:15 2026 removing 8631964 relations and 6631964 ideals in 2000000 cliques Mon Jul 13 01:46:22 2026 commencing in-memory singleton removal Mon Jul 13 01:46:30 2026 begin with 290138001 relations and 238485974 unique ideals Mon Jul 13 01:47:14 2026 reduce to 289935273 relations and 231649959 ideals in 7 passes Mon Jul 13 01:47:14 2026 max relations containing the same ideal: 195 Mon Jul 13 01:49:41 2026 removing 8240420 relations and 6240421 ideals in 2000000 cliques Mon Jul 13 01:49:48 2026 commencing in-memory singleton removal Mon Jul 13 01:49:54 2026 begin with 281694853 relations and 231649959 unique ideals Mon Jul 13 01:50:40 2026 reduce to 281503315 relations and 225216718 ideals in 7 passes Mon Jul 13 01:50:40 2026 max relations containing the same ideal: 189 Mon Jul 13 01:53:10 2026 removing 7954993 relations and 5954993 ideals in 2000000 cliques Mon Jul 13 01:53:16 2026 commencing in-memory singleton removal Mon Jul 13 01:53:21 2026 begin with 273548322 relations and 225216718 unique ideals Mon Jul 13 01:54:00 2026 reduce to 273363976 relations and 219076084 ideals in 7 passes Mon Jul 13 01:54:00 2026 max relations containing the same ideal: 186 Mon Jul 13 01:56:19 2026 removing 7744025 relations and 5744025 ideals in 2000000 cliques Mon Jul 13 01:56:23 2026 commencing in-memory singleton removal Mon Jul 13 01:56:30 2026 begin with 265619951 relations and 219076084 unique ideals Mon Jul 13 01:57:03 2026 reduce to 265439536 relations and 213150350 ideals in 6 passes Mon Jul 13 01:57:03 2026 max relations containing the same ideal: 184 Mon Jul 13 01:59:24 2026 removing 7575657 relations and 5575657 ideals in 2000000 cliques Mon Jul 13 01:59:27 2026 commencing in-memory singleton removal Mon Jul 13 01:59:34 2026 begin with 257863879 relations and 213150350 unique ideals Mon Jul 13 02:00:08 2026 reduce to 257686835 relations and 207396341 ideals in 6 passes Mon Jul 13 02:00:08 2026 max relations containing the same ideal: 180 Mon Jul 13 02:02:26 2026 removing 7446436 relations and 5446436 ideals in 2000000 cliques Mon Jul 13 02:02:29 2026 commencing in-memory singleton removal Mon Jul 13 02:02:36 2026 begin with 250240399 relations and 207396341 unique ideals Mon Jul 13 02:03:13 2026 reduce to 250064577 relations and 201772852 ideals in 7 passes Mon Jul 13 02:03:13 2026 max relations containing the same ideal: 175 Mon Jul 13 02:05:28 2026 removing 7338281 relations and 5338281 ideals in 2000000 cliques Mon Jul 13 02:05:34 2026 commencing in-memory singleton removal Mon Jul 13 02:05:40 2026 begin with 242726296 relations and 201772852 unique ideals Mon Jul 13 02:06:11 2026 reduce to 242550157 relations and 196257138 ideals in 6 passes Mon Jul 13 02:06:11 2026 max relations containing the same ideal: 173 Mon Jul 13 02:08:23 2026 removing 7255733 relations and 5255733 ideals in 2000000 cliques Mon Jul 13 02:08:28 2026 commencing in-memory singleton removal Mon Jul 13 02:08:31 2026 begin with 235294424 relations and 196257138 unique ideals Mon Jul 13 02:09:02 2026 reduce to 235118209 relations and 190823791 ideals in 6 passes Mon Jul 13 02:09:02 2026 max relations containing the same ideal: 171 Mon Jul 13 02:11:10 2026 removing 7184986 relations and 5184986 ideals in 2000000 cliques Mon Jul 13 02:11:16 2026 commencing in-memory singleton removal Mon Jul 13 02:11:21 2026 begin with 227933223 relations and 190823791 unique ideals Mon Jul 13 02:11:52 2026 reduce to 227756358 relations and 185460421 ideals in 6 passes Mon Jul 13 02:11:52 2026 max relations containing the same ideal: 167 Mon Jul 13 02:14:00 2026 removing 7126510 relations and 5126510 ideals in 2000000 cliques Mon Jul 13 02:14:03 2026 commencing in-memory singleton removal Mon Jul 13 02:14:09 2026 begin with 220629848 relations and 185460421 unique ideals Mon Jul 13 02:14:39 2026 reduce to 220449658 relations and 180152152 ideals in 6 passes Mon Jul 13 02:14:39 2026 max relations containing the same ideal: 164 Mon Jul 13 02:16:42 2026 removing 7084471 relations and 5084471 ideals in 2000000 cliques Mon Jul 13 02:16:47 2026 commencing in-memory singleton removal Mon Jul 13 02:16:52 2026 begin with 213365187 relations and 180152152 unique ideals Mon Jul 13 02:17:24 2026 reduce to 213180946 relations and 174881903 ideals in 7 passes Mon Jul 13 02:17:24 2026 max relations containing the same ideal: 161 Mon Jul 13 02:19:25 2026 removing 7047514 relations and 5047514 ideals in 2000000 cliques Mon Jul 13 02:19:30 2026 commencing in-memory singleton removal Mon Jul 13 02:19:35 2026 begin with 206133432 relations and 174881903 unique ideals Mon Jul 13 02:20:05 2026 reduce to 205946188 relations and 169645415 ideals in 7 passes Mon Jul 13 02:20:05 2026 max relations containing the same ideal: 158 Mon Jul 13 02:22:01 2026 removing 7022117 relations and 5022117 ideals in 2000000 cliques Mon Jul 13 02:22:06 2026 commencing in-memory singleton removal Mon Jul 13 02:22:09 2026 begin with 198924071 relations and 169645415 unique ideals Mon Jul 13 02:22:35 2026 reduce to 198733236 relations and 164430706 ideals in 6 passes Mon Jul 13 02:22:35 2026 max relations containing the same ideal: 154 Mon Jul 13 02:24:32 2026 removing 7002213 relations and 5002213 ideals in 2000000 cliques Mon Jul 13 02:24:36 2026 commencing in-memory singleton removal Mon Jul 13 02:24:39 2026 begin with 191731023 relations and 164430706 unique ideals Mon Jul 13 02:25:05 2026 reduce to 191533272 relations and 159228758 ideals in 6 passes Mon Jul 13 02:25:05 2026 max relations containing the same ideal: 152 Mon Jul 13 02:26:58 2026 removing 6995287 relations and 4995287 ideals in 2000000 cliques Mon Jul 13 02:27:02 2026 commencing in-memory singleton removal Mon Jul 13 02:27:07 2026 begin with 184537985 relations and 159228758 unique ideals Mon Jul 13 02:27:34 2026 reduce to 184333293 relations and 154026604 ideals in 7 passes Mon Jul 13 02:27:34 2026 max relations containing the same ideal: 149 Mon Jul 13 02:29:21 2026 removing 6995585 relations and 4995585 ideals in 2000000 cliques Mon Jul 13 02:29:25 2026 commencing in-memory singleton removal Mon Jul 13 02:29:30 2026 begin with 177337708 relations and 154026604 unique ideals Mon Jul 13 02:29:56 2026 reduce to 177127462 relations and 148818535 ideals in 7 passes Mon Jul 13 02:29:56 2026 max relations containing the same ideal: 146 Mon Jul 13 02:31:40 2026 removing 7001234 relations and 5001234 ideals in 2000000 cliques Mon Jul 13 02:31:45 2026 commencing in-memory singleton removal Mon Jul 13 02:31:49 2026 begin with 170126228 relations and 148818535 unique ideals Mon Jul 13 02:32:10 2026 reduce to 169906937 relations and 143595551 ideals in 6 passes Mon Jul 13 02:32:10 2026 max relations containing the same ideal: 142 Mon Jul 13 02:33:44 2026 removing 7011107 relations and 5011107 ideals in 2000000 cliques Mon Jul 13 02:33:49 2026 commencing in-memory singleton removal Mon Jul 13 02:33:53 2026 begin with 162895830 relations and 143595551 unique ideals Mon Jul 13 02:34:15 2026 reduce to 162667923 relations and 138353972 ideals in 7 passes Mon Jul 13 02:34:15 2026 max relations containing the same ideal: 135 Mon Jul 13 02:35:47 2026 removing 7032397 relations and 5032397 ideals in 2000000 cliques Mon Jul 13 02:35:51 2026 commencing in-memory singleton removal Mon Jul 13 02:35:55 2026 begin with 155635526 relations and 138353972 unique ideals Mon Jul 13 02:36:13 2026 reduce to 155396942 relations and 133080144 ideals in 6 passes Mon Jul 13 02:36:13 2026 max relations containing the same ideal: 130 Mon Jul 13 02:37:42 2026 removing 7058760 relations and 5058760 ideals in 2000000 cliques Mon Jul 13 02:37:45 2026 commencing in-memory singleton removal Mon Jul 13 02:37:48 2026 begin with 148338182 relations and 133080144 unique ideals Mon Jul 13 02:38:11 2026 reduce to 148086698 relations and 127766750 ideals in 7 passes Mon Jul 13 02:38:11 2026 max relations containing the same ideal: 127 Mon Jul 13 02:39:37 2026 removing 7096736 relations and 5096736 ideals in 2000000 cliques Mon Jul 13 02:39:41 2026 commencing in-memory singleton removal Mon Jul 13 02:39:42 2026 begin with 140989962 relations and 127766750 unique ideals Mon Jul 13 02:40:04 2026 reduce to 140723583 relations and 122400260 ideals in 7 passes Mon Jul 13 02:40:04 2026 max relations containing the same ideal: 122 Mon Jul 13 02:41:22 2026 removing 7137690 relations and 5137690 ideals in 2000000 cliques Mon Jul 13 02:41:26 2026 commencing in-memory singleton removal Mon Jul 13 02:41:29 2026 begin with 133585893 relations and 122400260 unique ideals Mon Jul 13 02:41:47 2026 reduce to 133301569 relations and 116974641 ideals in 7 passes Mon Jul 13 02:41:47 2026 max relations containing the same ideal: 118 Mon Jul 13 02:43:07 2026 removing 7196329 relations and 5196329 ideals in 2000000 cliques Mon Jul 13 02:43:11 2026 commencing in-memory singleton removal Mon Jul 13 02:43:14 2026 begin with 126105240 relations and 116974641 unique ideals Mon Jul 13 02:43:31 2026 reduce to 125801874 relations and 111470870 ideals in 7 passes Mon Jul 13 02:43:31 2026 max relations containing the same ideal: 115 Mon Jul 13 02:44:47 2026 removing 7261316 relations and 5261316 ideals in 2000000 cliques Mon Jul 13 02:44:50 2026 commencing in-memory singleton removal Mon Jul 13 02:44:53 2026 begin with 118540558 relations and 111470870 unique ideals Mon Jul 13 02:45:11 2026 reduce to 118213518 relations and 105877889 ideals in 7 passes Mon Jul 13 02:45:11 2026 max relations containing the same ideal: 111 Mon Jul 13 02:46:22 2026 removing 7347313 relations and 5347313 ideals in 2000000 cliques Mon Jul 13 02:46:26 2026 commencing in-memory singleton removal Mon Jul 13 02:46:28 2026 begin with 110866205 relations and 105877889 unique ideals Mon Jul 13 02:46:45 2026 reduce to 110513600 relations and 100172655 ideals in 7 passes Mon Jul 13 02:46:45 2026 max relations containing the same ideal: 104 Mon Jul 13 02:47:47 2026 removing 7441018 relations and 5441018 ideals in 2000000 cliques Mon Jul 13 02:47:51 2026 commencing in-memory singleton removal Mon Jul 13 02:47:53 2026 begin with 103072582 relations and 100172655 unique ideals Mon Jul 13 02:48:08 2026 reduce to 102683889 relations and 94336705 ideals in 7 passes Mon Jul 13 02:48:08 2026 max relations containing the same ideal: 98 Mon Jul 13 02:49:10 2026 removing 7552655 relations and 5552655 ideals in 2000000 cliques Mon Jul 13 02:49:13 2026 commencing in-memory singleton removal Mon Jul 13 02:49:16 2026 begin with 95131234 relations and 94336705 unique ideals Mon Jul 13 02:49:28 2026 reduce to 94699320 relations and 88344961 ideals in 7 passes Mon Jul 13 02:49:28 2026 max relations containing the same ideal: 93 Mon Jul 13 02:50:28 2026 removing 7684132 relations and 5684132 ideals in 2000000 cliques Mon Jul 13 02:50:31 2026 commencing in-memory singleton removal Mon Jul 13 02:50:34 2026 begin with 87015188 relations and 88344961 unique ideals Mon Jul 13 02:50:48 2026 reduce to 86527213 relations and 82164021 ideals in 8 passes Mon Jul 13 02:50:48 2026 max relations containing the same ideal: 86 Mon Jul 13 02:51:41 2026 removing 7842745 relations and 5842745 ideals in 2000000 cliques Mon Jul 13 02:51:44 2026 commencing in-memory singleton removal Mon Jul 13 02:51:46 2026 begin with 78684468 relations and 82164021 unique ideals Mon Jul 13 02:51:57 2026 reduce to 78124264 relations and 75750288 ideals in 8 passes Mon Jul 13 02:51:57 2026 max relations containing the same ideal: 81 Mon Jul 13 02:52:49 2026 removing 2225224 relations and 1812978 ideals in 412246 cliques Mon Jul 13 02:52:49 2026 commencing in-memory singleton removal Mon Jul 13 02:52:51 2026 begin with 75899040 relations and 75750288 unique ideals Mon Jul 13 02:53:04 2026 reduce to 75855314 relations and 73893378 ideals in 8 passes Mon Jul 13 02:53:04 2026 max relations containing the same ideal: 81 Mon Jul 13 02:53:51 2026 trying target density 90 Mon Jul 13 02:53:59 2026 relations with 0 large ideals: 6256 Mon Jul 13 02:53:59 2026 relations with 1 large ideals: 27613 Mon Jul 13 02:53:59 2026 relations with 2 large ideals: 408404 Mon Jul 13 02:53:59 2026 relations with 3 large ideals: 2551258 Mon Jul 13 02:53:59 2026 relations with 4 large ideals: 8513105 Mon Jul 13 02:53:59 2026 relations with 5 large ideals: 16863443 Mon Jul 13 02:53:59 2026 relations with 6 large ideals: 20871413 Mon Jul 13 02:53:59 2026 relations with 7+ large ideals: 26613822 Mon Jul 13 02:53:59 2026 commencing 2-way merge Mon Jul 13 02:55:01 2026 reduce to 47162832 relation sets and 45200896 unique ideals Mon Jul 13 02:55:01 2026 commencing full merge Mon Jul 13 03:14:25 2026 memory use: 5454.1 MB Mon Jul 13 03:14:35 2026 found 23700635 cycles, need 23433096 Mon Jul 13 03:14:47 2026 weight of 23433096 cycles is about 2109068168 (90.00/cycle) Mon Jul 13 03:14:47 2026 distribution of cycle lengths: Mon Jul 13 03:14:47 2026 1 relations: 2422962 Mon Jul 13 03:14:47 2026 2 relations: 2263216 Mon Jul 13 03:14:47 2026 3 relations: 2294834 Mon Jul 13 03:14:47 2026 4 relations: 2259617 Mon Jul 13 03:14:47 2026 5 relations: 2192278 Mon Jul 13 03:14:47 2026 6 relations: 2098686 Mon Jul 13 03:14:47 2026 7 relations: 1931748 Mon Jul 13 03:14:47 2026 8 relations: 1722513 Mon Jul 13 03:14:47 2026 9 relations: 1482233 Mon Jul 13 03:14:47 2026 10+ relations: 4765009 Mon Jul 13 03:14:47 2026 heaviest cycle: 20 relations Mon Jul 13 03:14:57 2026 commencing cycle optimization Mon Jul 13 03:15:53 2026 start with 145238656 relations Mon Jul 13 03:21:30 2026 pruned 4277426 relations Mon Jul 13 03:21:34 2026 memory use: 4598.2 MB Mon Jul 13 03:21:34 2026 distribution of cycle lengths: Mon Jul 13 03:21:34 2026 1 relations: 2422962 Mon Jul 13 03:21:34 2026 2 relations: 2315631 Mon Jul 13 03:21:34 2026 3 relations: 2378457 Mon Jul 13 03:21:34 2026 4 relations: 2328059 Mon Jul 13 03:21:34 2026 5 relations: 2270677 Mon Jul 13 03:21:34 2026 6 relations: 2160987 Mon Jul 13 03:21:34 2026 7 relations: 1988287 Mon Jul 13 03:21:34 2026 8 relations: 1753790 Mon Jul 13 03:21:34 2026 9 relations: 1493433 Mon Jul 13 03:21:34 2026 10+ relations: 4320813 Mon Jul 13 03:21:34 2026 heaviest cycle: 20 relations Mon Jul 13 03:22:41 2026 trying target density 110 Mon Jul 13 03:22:50 2026 relations with 0 large ideals: 6256 Mon Jul 13 03:22:50 2026 relations with 1 large ideals: 27613 Mon Jul 13 03:22:50 2026 relations with 2 large ideals: 408404 Mon Jul 13 03:22:50 2026 relations with 3 large ideals: 2551258 Mon Jul 13 03:22:50 2026 relations with 4 large ideals: 8513105 Mon Jul 13 03:22:50 2026 relations with 5 large ideals: 16863443 Mon Jul 13 03:22:50 2026 relations with 6 large ideals: 20871413 Mon Jul 13 03:22:50 2026 relations with 7+ large ideals: 26613822 Mon Jul 13 03:22:50 2026 commencing 2-way merge Mon Jul 13 03:23:47 2026 reduce to 47162832 relation sets and 45200896 unique ideals Mon Jul 13 03:23:47 2026 commencing full merge Mon Jul 13 03:47:30 2026 memory use: 5622.3 MB Mon Jul 13 03:47:38 2026 found 22132477 cycles, need 21893096 Mon Jul 13 03:47:48 2026 weight of 21893096 cycles is about 2408703272 (110.02/cycle) Mon Jul 13 03:47:48 2026 distribution of cycle lengths: Mon Jul 13 03:47:48 2026 1 relations: 1657201 Mon Jul 13 03:47:48 2026 2 relations: 1701184 Mon Jul 13 03:47:48 2026 3 relations: 1779450 Mon Jul 13 03:47:48 2026 4 relations: 1746491 Mon Jul 13 03:47:48 2026 5 relations: 1742396 Mon Jul 13 03:47:48 2026 6 relations: 1708910 Mon Jul 13 03:47:48 2026 7 relations: 1650291 Mon Jul 13 03:47:48 2026 8 relations: 1557064 Mon Jul 13 03:47:48 2026 9 relations: 1431099 Mon Jul 13 03:47:48 2026 10+ relations: 6919010 Mon Jul 13 03:47:48 2026 heaviest cycle: 25 relations Mon Jul 13 03:47:56 2026 commencing cycle optimization Mon Jul 13 03:49:01 2026 start with 165353593 relations Mon Jul 13 03:56:39 2026 pruned 6116195 relations Mon Jul 13 03:56:42 2026 memory use: 4810.7 MB Mon Jul 13 03:56:43 2026 distribution of cycle lengths: Mon Jul 13 03:56:43 2026 1 relations: 1657201 Mon Jul 13 03:56:43 2026 2 relations: 1742817 Mon Jul 13 03:56:43 2026 3 relations: 1848578 Mon Jul 13 03:56:43 2026 4 relations: 1808571 Mon Jul 13 03:56:43 2026 5 relations: 1815407 Mon Jul 13 03:56:43 2026 6 relations: 1776907 Mon Jul 13 03:56:43 2026 7 relations: 1720218 Mon Jul 13 03:56:43 2026 8 relations: 1611219 Mon Jul 13 03:56:43 2026 9 relations: 1477581 Mon Jul 13 03:56:43 2026 10+ relations: 6434597 Mon Jul 13 03:56:43 2026 heaviest cycle: 25 relations Mon Jul 13 03:57:45 2026 trying target density 130 Mon Jul 13 03:57:54 2026 relations with 0 large ideals: 6256 Mon Jul 13 03:57:54 2026 relations with 1 large ideals: 27613 Mon Jul 13 03:57:54 2026 relations with 2 large ideals: 408404 Mon Jul 13 03:57:54 2026 relations with 3 large ideals: 2551258 Mon Jul 13 03:57:54 2026 relations with 4 large ideals: 8513105 Mon Jul 13 03:57:54 2026 relations with 5 large ideals: 16863443 Mon Jul 13 03:57:54 2026 relations with 6 large ideals: 20871413 Mon Jul 13 03:57:54 2026 relations with 7+ large ideals: 26613822 Mon Jul 13 03:57:54 2026 commencing 2-way merge Mon Jul 13 03:58:48 2026 reduce to 47162832 relation sets and 45200896 unique ideals Mon Jul 13 03:58:48 2026 commencing full merge Mon Jul 13 04:26:20 2026 memory use: 5742.2 MB Mon Jul 13 04:26:34 2026 found 20899578 cycles, need 20769096 Mon Jul 13 04:26:41 2026 weight of 20769096 cycles is about 2700706693 (130.03/cycle) Mon Jul 13 04:26:41 2026 distribution of cycle lengths: Mon Jul 13 04:26:41 2026 1 relations: 1188943 Mon Jul 13 04:26:41 2026 2 relations: 1342606 Mon Jul 13 04:26:41 2026 3 relations: 1418553 Mon Jul 13 04:26:41 2026 4 relations: 1414838 Mon Jul 13 04:26:41 2026 5 relations: 1428322 Mon Jul 13 04:26:41 2026 6 relations: 1409956 Mon Jul 13 04:26:41 2026 7 relations: 1404683 Mon Jul 13 04:26:41 2026 8 relations: 1348788 Mon Jul 13 04:26:41 2026 9 relations: 1295269 Mon Jul 13 04:26:41 2026 10+ relations: 8517138 Mon Jul 13 04:26:41 2026 heaviest cycle: 28 relations Mon Jul 13 04:26:46 2026 commencing cycle optimization Mon Jul 13 04:27:57 2026 start with 184712893 relations Mon Jul 13 04:38:32 2026 pruned 8052685 relations Mon Jul 13 04:38:32 2026 memory use: 5007.8 MB Mon Jul 13 04:38:32 2026 distribution of cycle lengths: Mon Jul 13 04:38:32 2026 1 relations: 1188943 Mon Jul 13 04:38:32 2026 2 relations: 1375994 Mon Jul 13 04:38:32 2026 3 relations: 1475746 Mon Jul 13 04:38:32 2026 4 relations: 1469397 Mon Jul 13 04:38:32 2026 5 relations: 1493360 Mon Jul 13 04:38:32 2026 6 relations: 1474234 Mon Jul 13 04:38:32 2026 7 relations: 1473673 Mon Jul 13 04:38:32 2026 8 relations: 1411832 Mon Jul 13 04:38:32 2026 9 relations: 1355553 Mon Jul 13 04:38:32 2026 10+ relations: 8050364 Mon Jul 13 04:38:32 2026 heaviest cycle: 28 relations Mon Jul 13 04:39:39 2026 RelProcTime: 18792 Mon Jul 13 04:39:39 2026 Mon Jul 13 04:39:39 2026 commencing linear algebra Mon Jul 13 04:39:39 2026 using VBITS=256 Mon Jul 13 04:39:39 2026 building matrices for all densities Mon Jul 13 04:39:39 2026 found 3 density files Mon Jul 13 04:39:39 2026 building matrix for density 90 Mon Jul 13 04:39:41 2026 read 23433096 cycles Mon Jul 13 04:40:30 2026 cycles contain 74786310 unique relations Mon Jul 13 04:45:22 2026 read 74786310 relations Mon Jul 13 04:45:57 2026 using 20 quadratic characters above 4294917295 Mon Jul 13 04:46:44 2026 building initial matrix Mon Jul 13 05:04:34 2026 memory use: 10598.8 MB Mon Jul 13 05:04:46 2026 read 23433096 cycles Mon Jul 13 05:04:49 2026 matrix is 23432916 x 23433096 (8666.2 MB) with weight 2679963618 (114.37/col) Mon Jul 13 05:04:49 2026 sparse part has weight 2014023118 (85.95/col) Mon Jul 13 05:09:35 2026 filtering completed in 2 passes Mon Jul 13 05:09:42 2026 matrix is 23429121 x 23429298 (8665.9 MB) with weight 2679819010 (114.38/col) Mon Jul 13 05:09:42 2026 sparse part has weight 2013985154 (85.96/col) Mon Jul 13 05:10:42 2026 building matrix for density 110 Mon Jul 13 05:10:44 2026 read 21893096 cycles Mon Jul 13 05:11:29 2026 cycles contain 74801054 unique relations Mon Jul 13 05:16:43 2026 read 74801054 relations Mon Jul 13 05:17:20 2026 using 20 quadratic characters above 4294917295 Mon Jul 13 05:18:04 2026 building initial matrix Mon Jul 13 05:36:37 2026 memory use: 10623.3 MB Mon Jul 13 05:36:46 2026 read 21893096 cycles Mon Jul 13 05:36:50 2026 matrix is 21892917 x 21893096 (9567.7 MB) with weight 2927000438 (133.70/col) Mon Jul 13 05:36:50 2026 sparse part has weight 2267281585 (103.56/col) Mon Jul 13 05:42:09 2026 filtering completed in 2 passes Mon Jul 13 05:42:16 2026 matrix is 21891055 x 21891232 (9567.5 MB) with weight 2926918637 (133.70/col) Mon Jul 13 05:42:16 2026 sparse part has weight 2267257089 (103.57/col) Mon Jul 13 05:43:29 2026 building matrix for density 130 Mon Jul 13 05:43:31 2026 read 20769096 cycles Mon Jul 13 05:44:22 2026 cycles contain 74800753 unique relations Mon Jul 13 05:49:54 2026 read 74800753 relations Mon Jul 13 05:50:36 2026 using 20 quadratic characters above 4294917295 Mon Jul 13 05:51:17 2026 building initial matrix Mon Jul 13 06:11:47 2026 memory use: 10655.5 MB Mon Jul 13 06:11:59 2026 read 20769096 cycles Mon Jul 13 06:12:02 2026 matrix is 20768919 x 20769096 (10442.6 MB) with weight 3164502052 (152.37/col) Mon Jul 13 06:12:02 2026 sparse part has weight 2509007564 (120.80/col) Mon Jul 13 06:16:41 2026 filtering completed in 2 passes Mon Jul 13 06:16:48 2026 matrix is 20768266 x 20768441 (10442.5 MB) with weight 3164471336 (152.37/col) Mon Jul 13 06:16:48 2026 sparse part has weight 2508998164 (120.81/col) Mon Jul 13 06:18:08 2026 BLanczosTime: 5909 Mon Jul 13 06:18:08 2026 elapsed time 06:51:42 Mon Jul 13 16:37:19 2026 Mon Jul 13 16:37:19 2026 Mon Jul 13 16:37:19 2026 Msieve v. 1.54 (SVN unknown) Mon Jul 13 16:37:19 2026 random seeds: ebf5034d 013e90c7 Mon Jul 13 16:37:19 2026 Using 8 OpenMP threads Mon Jul 13 16:37:19 2026 factoring 32816892209736921070586534275285152147876117092320368654154178377755979251704686618361135623125872073499667712408693800634205329829481118466453075926757977043298971179161165044150687756369 (188 digits) Mon Jul 13 16:37:20 2026 no P-1/P+1/ECM available, skipping Mon Jul 13 16:37:20 2026 commencing number field sieve (188-digit input) Mon Jul 13 16:37:20 2026 R0: -5892385653532317956386874730756933622 Mon Jul 13 16:37:20 2026 R1: 187101097962709726245277 Mon Jul 13 16:37:20 2026 A0: -48477669427482880470533694641343541435850 Mon Jul 13 16:37:20 2026 A1: 176776693267429364048227888123591509 Mon Jul 13 16:37:20 2026 A2: 20418981464678264379084354944 Mon Jul 13 16:37:20 2026 A3: -4668574974792645809883 Mon Jul 13 16:37:20 2026 A4: -103183122103200 Mon Jul 13 16:37:20 2026 A5: 4158000 Mon Jul 13 16:37:20 2026 skew 13700519.08, size 3.705e-18, alpha -7.290, combined = 4.143e-14 rroots = 5 Mon Jul 13 16:37:20 2026 Mon Jul 13 16:37:20 2026 commencing linear algebra Mon Jul 13 16:37:20 2026 using VBITS=256 Mon Jul 13 16:37:20 2026 skipping matrix build Mon Jul 13 16:37:28 2026 matrix starts at (0, 0) Mon Jul 13 16:37:31 2026 matrix is 20768266 x 20768441 (10442.5 MB) with weight 3164471336 (152.37/col) Mon Jul 13 16:37:31 2026 sparse part has weight 2508998164 (120.81/col) Mon Jul 13 16:37:31 2026 saving the first 240 matrix rows for later Mon Jul 13 16:37:36 2026 matrix includes 256 packed rows Mon Jul 13 16:37:42 2026 matrix is 20768026 x 20768441 (9536.4 MB) with weight 2301214665 (110.80/col) Mon Jul 13 16:37:42 2026 sparse part has weight 2167621122 (104.37/col) Mon Jul 13 16:37:42 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Mon Jul 13 16:37:42 2026 selected card has CUDA arch 12.0 Mon Jul 13 16:37:44 2026 computed block_nnz 164161249 (L2 cache 100663296 bytes, average column weight 104.4) Mon Jul 13 16:37:44 2026 nonzeros per matrix block: 256000000 Mon Jul 13 16:41:49 2026 commencing Lanczos iteration Mon Jul 13 16:41:52 2026 memory use: 23034.1 MB Mon Jul 13 16:42:16 2026 linear algebra at 0.1%, ETA 4h19m Mon Jul 13 16:42:50 2026 checking every 80000 dimensions, checkpointing every 4880000 dimensions Mon Jul 13 20:58:42 2026 lanczos halted after 81369 iterations (dim = 20768026) Mon Jul 13 21:00:02 2026 recovered 32 nontrivial dependencies Mon Jul 13 21:00:04 2026 BLanczosTime: 15764 Mon Jul 13 21:00:04 2026 elapsed time 04:22:45 Mon Jul 13 17:03:13 2026 Mon Jul 13 17:03:13 2026 Mon Jul 13 17:03:13 2026 Msieve v. 1.54 (SVN unknown) Mon Jul 13 17:03:13 2026 random seeds: 0d9c7c84 3a713fbb Mon Jul 13 17:03:13 2026 Using 8 OpenMP threads Mon Jul 13 17:03:13 2026 factoring 32816892209736921070586534275285152147876117092320368654154178377755979251704686618361135623125872073499667712408693800634205329829481118466453075926757977043298971179161165044150687756369 (188 digits) Mon Jul 13 17:03:13 2026 no P-1/P+1/ECM available, skipping Mon Jul 13 17:03:13 2026 commencing number field sieve (188-digit input) Mon Jul 13 17:03:13 2026 R0: -5892385653532317956386874730756933622 Mon Jul 13 17:03:13 2026 R1: 187101097962709726245277 Mon Jul 13 17:03:13 2026 A0: -48477669427482880470533694641343541435850 Mon Jul 13 17:03:13 2026 A1: 176776693267429364048227888123591509 Mon Jul 13 17:03:13 2026 A2: 20418981464678264379084354944 Mon Jul 13 17:03:13 2026 A3: -4668574974792645809883 Mon Jul 13 17:03:13 2026 A4: -103183122103200 Mon Jul 13 17:03:13 2026 A5: 4158000 Mon Jul 13 17:03:13 2026 skew 13700519.08, size 3.705e-18, alpha -7.290, combined = 4.143e-14 rroots = 5 Mon Jul 13 17:03:13 2026 Mon Jul 13 17:03:13 2026 commencing square root phase Mon Jul 13 17:03:13 2026 reading relations for dependency 1 Mon Jul 13 17:03:15 2026 read 10382027 cycles Mon Jul 13 17:03:33 2026 cycles contain 37399626 unique relations Mon Jul 13 17:10:14 2026 read 37399626 relations Mon Jul 13 17:13:03 2026 multiplying 37399626 relations Mon Jul 13 17:18:29 2026 multiply complete, coefficients have about 2283.75 million bits Mon Jul 13 17:18:32 2026 initial square root is modulo 132547 Mon Jul 13 17:29:42 2026 sqrtTime: 1589 Mon Jul 13 17:29:42 2026 p85 factor: 8176982177601581411304420988870815079131375370744426599514343370180431053025384149237 Mon Jul 13 17:29:42 2026 p103 factor: 4013325637376227702841613802475790813939288332701644517286286137958352764517057971901678605078458185837 Mon Jul 13 17:29:42 2026 elapsed time 00:26:29