Sun Jun 21 16:24:42 2026 Sun Jun 21 16:24:42 2026 Sun Jun 21 16:24:42 2026 Msieve v. 1.54 (SVN 1028) Sun Jun 21 16:24:42 2026 random seeds: 071be21c b0adc2b6 Sun Jun 21 16:24:42 2026 factoring 1815216486640497261220443545761342193373699472283391399850494435949118953145914532849288286515134392070548210907516895896476732045867285569142736546406032315163430690226594947816410956251750820941583267475078676934808331496933883 (229 digits) Sun Jun 21 16:24:43 2026 no P-1/P+1/ECM available, skipping Sun Jun 21 16:24:43 2026 commencing number field sieve (229-digit input) Sun Jun 21 16:24:43 2026 R0: 1 Sun Jun 21 16:24:43 2026 R1: -22835963083295358096932575511191922182123945984 Sun Jun 21 16:24:43 2026 A0: -40 Sun Jun 21 16:24:43 2026 A1: 0 Sun Jun 21 16:24:43 2026 A2: 0 Sun Jun 21 16:24:43 2026 A3: 0 Sun Jun 21 16:24:43 2026 A4: 0 Sun Jun 21 16:24:43 2026 A5: 0 Sun Jun 21 16:24:43 2026 A6: 1 Sun Jun 21 16:24:43 2026 skew 1.42, size 1.119e-13, alpha 0.660, combined = 2.161e-14 rroots = 2 Sun Jun 21 16:24:43 2026 Sun Jun 21 16:24:43 2026 commencing relation filtering Sun Jun 21 16:24:43 2026 setting target matrix density to 110.0 Sun Jun 21 16:24:43 2026 estimated available RAM is 80308.9 MB Sun Jun 21 16:24:43 2026 commencing duplicate removal, pass 1 Sun Jun 21 17:05:29 2026 error -15 reading relation 363303015 Sun Jun 21 17:15:30 2026 error -15 reading relation 452794509 Sun Jun 21 17:18:25 2026 error -15 reading relation 477173193 Sun Jun 21 17:25:10 2026 error -15 reading relation 535321610 Sun Jun 21 17:25:37 2026 error -6 reading relation 539000702 Sun Jun 21 17:27:47 2026 error -1 reading relation 557668520 Sun Jun 21 17:30:12 2026 error -15 reading relation 578803947 Sun Jun 21 17:36:56 2026 error -1 reading relation 636514916 Sun Jun 21 17:37:11 2026 error -1 reading relation 638598882 Sun Jun 21 17:42:26 2026 error -15 reading relation 684519240 Sun Jun 21 17:44:30 2026 error -5 reading relation 702381424 Sun Jun 21 17:45:16 2026 error -15 reading relation 709219292 Sun Jun 21 17:45:29 2026 skipped 5856 relations with b > 2^32 Sun Jun 21 17:45:29 2026 skipped 5 relations with composite factors Sun Jun 21 17:45:29 2026 found 95591322 hash collisions in 711324931 relations Sun Jun 21 17:45:42 2026 added 1218855 free relations Sun Jun 21 17:45:42 2026 commencing duplicate removal, pass 2 Sun Jun 21 17:57:30 2026 found 3 duplicates and 712543783 unique relations Sun Jun 21 17:57:30 2026 memory use: 4262.0 MB Sun Jun 21 17:57:30 2026 reading ideals above 404946944 Sun Jun 21 17:57:30 2026 commencing singleton removal, initial pass Sun Jun 21 19:09:48 2026 memory use: 11024.0 MB Sun Jun 21 19:09:50 2026 reading all ideals from disk Sun Jun 21 19:10:46 2026 memory use: 12888.7 MB Sun Jun 21 19:11:37 2026 commencing in-memory singleton removal Sun Jun 21 19:12:20 2026 begin with 712543783 relations and 601522990 unique ideals Sun Jun 21 19:24:39 2026 reduce to 458949449 relations and 322375823 ideals in 14 passes Sun Jun 21 19:24:39 2026 max relations containing the same ideal: 49 Sun Jun 21 19:25:22 2026 reading ideals above 720000 Sun Jun 21 19:25:23 2026 commencing singleton removal, initial pass Sun Jun 21 20:42:26 2026 memory use: 11024.0 MB Sun Jun 21 20:42:27 2026 reading all ideals from disk Sun Jun 21 20:44:12 2026 memory use: 19744.2 MB Sun Jun 21 20:45:42 2026 keeping 363152406 ideals with weight <= 200, target excess is 2393506 Sun Jun 21 20:47:28 2026 commencing in-memory singleton removal Sun Jun 21 20:48:21 2026 begin with 458949449 relations and 363152406 unique ideals Sun Jun 21 21:01:09 2026 reduce to 458944621 relations and 363147578 ideals in 7 passes Sun Jun 21 21:01:09 2026 max relations containing the same ideal: 200 Sun Jun 21 21:07:22 2026 removing 14929063 relations and 12929063 ideals in 2000000 cliques Sun Jun 21 21:07:32 2026 commencing in-memory singleton removal Sun Jun 21 21:08:26 2026 begin with 444015558 relations and 363147578 unique ideals Sun Jun 21 21:22:02 2026 reduce to 443655574 relations and 349856257 ideals in 8 passes Sun Jun 21 21:22:02 2026 max relations containing the same ideal: 200 Sun Jun 21 21:28:07 2026 removing 11228083 relations and 9228083 ideals in 2000000 cliques Sun Jun 21 21:28:17 2026 commencing in-memory singleton removal Sun Jun 21 21:29:06 2026 begin with 432427491 relations and 349856257 unique ideals Sun Jun 21 21:40:47 2026 reduce to 432202366 relations and 340401848 ideals in 7 passes Sun Jun 21 21:40:47 2026 max relations containing the same ideal: 200 Sun Jun 21 21:46:58 2026 removing 10041674 relations and 8041674 ideals in 2000000 cliques Sun Jun 21 21:47:07 2026 commencing in-memory singleton removal Sun Jun 21 21:47:52 2026 begin with 422160692 relations and 340401848 unique ideals Sun Jun 21 22:01:21 2026 reduce to 421972591 relations and 332171133 ideals in 8 passes Sun Jun 21 22:01:21 2026 max relations containing the same ideal: 197 Sun Jun 21 22:07:21 2026 removing 9359769 relations and 7359769 ideals in 2000000 cliques Sun Jun 21 22:07:29 2026 commencing in-memory singleton removal Sun Jun 21 22:08:18 2026 begin with 412612822 relations and 332171133 unique ideals Sun Jun 21 22:17:27 2026 reduce to 412442185 relations and 324639885 ideals in 6 passes Sun Jun 21 22:17:27 2026 max relations containing the same ideal: 195 Sun Jun 21 22:22:42 2026 removing 8896356 relations and 6896356 ideals in 2000000 cliques Sun Jun 21 22:22:50 2026 commencing in-memory singleton removal Sun Jun 21 22:23:35 2026 begin with 403545829 relations and 324639885 unique ideals Sun Jun 21 22:33:56 2026 reduce to 403386434 relations and 317583372 ideals in 7 passes Sun Jun 21 22:33:56 2026 max relations containing the same ideal: 195 Sun Jun 21 22:39:34 2026 removing 8549612 relations and 6549612 ideals in 2000000 cliques Sun Jun 21 22:39:42 2026 commencing in-memory singleton removal Sun Jun 21 22:40:22 2026 begin with 394836822 relations and 317583372 unique ideals Sun Jun 21 22:50:26 2026 reduce to 394686008 relations and 310882150 ideals in 7 passes Sun Jun 21 22:50:26 2026 max relations containing the same ideal: 191 Sun Jun 21 22:55:49 2026 removing 8288154 relations and 6288154 ideals in 2000000 cliques Sun Jun 21 22:55:57 2026 commencing in-memory singleton removal Sun Jun 21 22:56:38 2026 begin with 386397854 relations and 310882150 unique ideals Sun Jun 21 23:04:41 2026 reduce to 386252198 relations and 304447635 ideals in 6 passes Sun Jun 21 23:04:41 2026 max relations containing the same ideal: 189 Sun Jun 21 23:10:05 2026 removing 8079527 relations and 6079527 ideals in 2000000 cliques Sun Jun 21 23:10:13 2026 commencing in-memory singleton removal Sun Jun 21 23:10:51 2026 begin with 378172671 relations and 304447635 unique ideals Sun Jun 21 23:22:13 2026 reduce to 378031352 relations and 298226107 ideals in 8 passes Sun Jun 21 23:22:13 2026 max relations containing the same ideal: 188 Sun Jun 21 23:27:40 2026 removing 7907670 relations and 5907670 ideals in 2000000 cliques Sun Jun 21 23:27:48 2026 commencing in-memory singleton removal Sun Jun 21 23:28:27 2026 begin with 370123682 relations and 298226107 unique ideals Sun Jun 21 23:36:11 2026 reduce to 369985208 relations and 292179212 ideals in 6 passes Sun Jun 21 23:36:11 2026 max relations containing the same ideal: 188 Sun Jun 21 23:40:53 2026 removing 7762375 relations and 5762375 ideals in 2000000 cliques Sun Jun 21 23:41:00 2026 commencing in-memory singleton removal Sun Jun 21 23:41:39 2026 begin with 362222833 relations and 292179212 unique ideals Sun Jun 21 23:50:45 2026 reduce to 362086063 relations and 286279300 ideals in 7 passes Sun Jun 21 23:50:45 2026 max relations containing the same ideal: 186 Sun Jun 21 23:55:47 2026 removing 7638540 relations and 5638540 ideals in 2000000 cliques Sun Jun 21 23:55:54 2026 commencing in-memory singleton removal Sun Jun 21 23:56:32 2026 begin with 354447523 relations and 286279300 unique ideals Mon Jun 22 00:06:06 2026 reduce to 354312372 relations and 280504854 ideals in 7 passes Mon Jun 22 00:06:06 2026 max relations containing the same ideal: 185 Mon Jun 22 00:11:12 2026 removing 7539310 relations and 5539310 ideals in 2000000 cliques Mon Jun 22 00:11:19 2026 commencing in-memory singleton removal Mon Jun 22 00:11:55 2026 begin with 346773062 relations and 280504854 unique ideals Mon Jun 22 00:20:06 2026 reduce to 346638941 relations and 274830641 ideals in 6 passes Mon Jun 22 00:20:06 2026 max relations containing the same ideal: 181 Mon Jun 22 00:24:56 2026 removing 7452438 relations and 5452438 ideals in 2000000 cliques Mon Jun 22 00:25:04 2026 commencing in-memory singleton removal Mon Jun 22 00:25:44 2026 begin with 339186503 relations and 274830641 unique ideals Mon Jun 22 00:34:54 2026 reduce to 339053531 relations and 269244447 ideals in 7 passes Mon Jun 22 00:34:54 2026 max relations containing the same ideal: 179 Mon Jun 22 00:39:49 2026 removing 7373041 relations and 5373041 ideals in 2000000 cliques Mon Jun 22 00:39:57 2026 commencing in-memory singleton removal Mon Jun 22 00:40:29 2026 begin with 331680490 relations and 269244447 unique ideals Mon Jun 22 00:49:14 2026 reduce to 331546716 relations and 263736792 ideals in 7 passes Mon Jun 22 00:49:14 2026 max relations containing the same ideal: 176 Mon Jun 22 00:53:35 2026 removing 7309469 relations and 5309469 ideals in 2000000 cliques Mon Jun 22 00:53:41 2026 commencing in-memory singleton removal Mon Jun 22 00:54:20 2026 begin with 324237247 relations and 263736792 unique ideals Mon Jun 22 01:01:03 2026 reduce to 324103058 relations and 258292293 ideals in 6 passes Mon Jun 22 01:01:03 2026 max relations containing the same ideal: 170 Mon Jun 22 01:05:21 2026 removing 7251704 relations and 5251704 ideals in 2000000 cliques Mon Jun 22 01:05:28 2026 commencing in-memory singleton removal Mon Jun 22 01:06:02 2026 begin with 316851354 relations and 258292293 unique ideals Mon Jun 22 01:12:54 2026 reduce to 316716371 relations and 252904760 ideals in 6 passes Mon Jun 22 01:12:54 2026 max relations containing the same ideal: 166 Mon Jun 22 01:17:01 2026 removing 7201934 relations and 5201934 ideals in 2000000 cliques Mon Jun 22 01:17:08 2026 commencing in-memory singleton removal Mon Jun 22 01:17:46 2026 begin with 309514437 relations and 252904760 unique ideals Mon Jun 22 01:24:01 2026 reduce to 309378929 relations and 247566443 ideals in 6 passes Mon Jun 22 01:24:01 2026 max relations containing the same ideal: 165 Mon Jun 22 01:28:03 2026 removing 7159435 relations and 5159435 ideals in 2000000 cliques Mon Jun 22 01:28:10 2026 commencing in-memory singleton removal Mon Jun 22 01:28:41 2026 begin with 302219494 relations and 247566443 unique ideals Mon Jun 22 01:36:29 2026 reduce to 302082584 relations and 242269187 ideals in 7 passes Mon Jun 22 01:36:29 2026 max relations containing the same ideal: 163 Mon Jun 22 01:40:39 2026 removing 7123155 relations and 5123155 ideals in 2000000 cliques Mon Jun 22 01:40:45 2026 commencing in-memory singleton removal Mon Jun 22 01:41:15 2026 begin with 294959429 relations and 242269187 unique ideals Mon Jun 22 01:47:36 2026 reduce to 294820379 relations and 237006009 ideals in 6 passes Mon Jun 22 01:47:36 2026 max relations containing the same ideal: 160 Mon Jun 22 01:51:48 2026 removing 7090594 relations and 5090594 ideals in 2000000 cliques Mon Jun 22 01:51:54 2026 commencing in-memory singleton removal Mon Jun 22 01:52:25 2026 begin with 287729785 relations and 237006009 unique ideals Mon Jun 22 01:59:38 2026 reduce to 287588605 relations and 231773251 ideals in 7 passes Mon Jun 22 01:59:38 2026 max relations containing the same ideal: 160 Mon Jun 22 02:03:47 2026 removing 7065432 relations and 5065432 ideals in 2000000 cliques Mon Jun 22 02:03:53 2026 commencing in-memory singleton removal Mon Jun 22 02:04:22 2026 begin with 280523173 relations and 231773251 unique ideals Mon Jun 22 02:10:12 2026 reduce to 280380438 relations and 226563997 ideals in 6 passes Mon Jun 22 02:10:12 2026 max relations containing the same ideal: 159 Mon Jun 22 02:14:09 2026 removing 7044474 relations and 5044474 ideals in 2000000 cliques Mon Jun 22 02:14:15 2026 commencing in-memory singleton removal Mon Jun 22 02:14:42 2026 begin with 273335964 relations and 226563997 unique ideals Mon Jun 22 02:20:41 2026 reduce to 273191012 relations and 221373491 ideals in 6 passes Mon Jun 22 02:20:41 2026 max relations containing the same ideal: 157 Mon Jun 22 02:24:32 2026 removing 7023213 relations and 5023213 ideals in 2000000 cliques Mon Jun 22 02:24:38 2026 commencing in-memory singleton removal Mon Jun 22 02:25:04 2026 begin with 266167799 relations and 221373491 unique ideals Mon Jun 22 02:30:33 2026 reduce to 266020056 relations and 216201422 ideals in 6 passes Mon Jun 22 02:30:33 2026 max relations containing the same ideal: 154 Mon Jun 22 02:34:21 2026 removing 7009522 relations and 5009522 ideals in 2000000 cliques Mon Jun 22 02:34:26 2026 commencing in-memory singleton removal Mon Jun 22 02:34:49 2026 begin with 259010534 relations and 216201422 unique ideals Mon Jun 22 02:41:27 2026 reduce to 258860287 relations and 211040433 ideals in 8 passes Mon Jun 22 02:41:27 2026 max relations containing the same ideal: 149 Mon Jun 22 02:45:14 2026 removing 6999829 relations and 4999829 ideals in 2000000 cliques Mon Jun 22 02:45:20 2026 commencing in-memory singleton removal Mon Jun 22 02:45:46 2026 begin with 251860458 relations and 211040433 unique ideals Mon Jun 22 02:51:01 2026 reduce to 251707305 relations and 205886174 ideals in 6 passes Mon Jun 22 02:51:01 2026 max relations containing the same ideal: 148 Mon Jun 22 02:54:27 2026 removing 6991867 relations and 4991867 ideals in 2000000 cliques Mon Jun 22 02:54:33 2026 commencing in-memory singleton removal Mon Jun 22 02:54:58 2026 begin with 244715438 relations and 205886174 unique ideals Mon Jun 22 02:59:53 2026 reduce to 244558181 relations and 200735755 ideals in 6 passes Mon Jun 22 02:59:53 2026 max relations containing the same ideal: 144 Mon Jun 22 03:03:14 2026 removing 6989970 relations and 4989970 ideals in 2000000 cliques Mon Jun 22 03:03:19 2026 commencing in-memory singleton removal Mon Jun 22 03:03:42 2026 begin with 237568211 relations and 200735755 unique ideals Mon Jun 22 03:08:16 2026 reduce to 237407847 relations and 195584015 ideals in 6 passes Mon Jun 22 03:08:16 2026 max relations containing the same ideal: 143 Mon Jun 22 03:11:35 2026 removing 6990100 relations and 4990100 ideals in 2000000 cliques Mon Jun 22 03:11:41 2026 commencing in-memory singleton removal Mon Jun 22 03:12:08 2026 begin with 230417747 relations and 195584015 unique ideals Mon Jun 22 03:16:53 2026 reduce to 230253419 relations and 190428064 ideals in 6 passes Mon Jun 22 03:16:53 2026 max relations containing the same ideal: 140 Mon Jun 22 03:20:07 2026 removing 6988290 relations and 4988290 ideals in 2000000 cliques Mon Jun 22 03:20:12 2026 commencing in-memory singleton removal Mon Jun 22 03:20:34 2026 begin with 223265129 relations and 190428064 unique ideals Mon Jun 22 03:25:00 2026 reduce to 223096296 relations and 185269343 ideals in 6 passes Mon Jun 22 03:25:00 2026 max relations containing the same ideal: 138 Mon Jun 22 03:28:18 2026 removing 6997314 relations and 4997314 ideals in 2000000 cliques Mon Jun 22 03:28:23 2026 commencing in-memory singleton removal Mon Jun 22 03:28:42 2026 begin with 216098982 relations and 185269343 unique ideals Mon Jun 22 03:33:18 2026 reduce to 215924867 relations and 180096214 ideals in 6 passes Mon Jun 22 03:33:18 2026 max relations containing the same ideal: 134 Mon Jun 22 03:36:23 2026 removing 7003517 relations and 5003517 ideals in 2000000 cliques Mon Jun 22 03:36:29 2026 commencing in-memory singleton removal Mon Jun 22 03:36:47 2026 begin with 208921350 relations and 180096214 unique ideals Mon Jun 22 03:41:06 2026 reduce to 208742482 relations and 174912180 ideals in 6 passes Mon Jun 22 03:41:06 2026 max relations containing the same ideal: 130 Mon Jun 22 03:43:55 2026 removing 7013430 relations and 5013430 ideals in 2000000 cliques Mon Jun 22 03:44:00 2026 commencing in-memory singleton removal Mon Jun 22 03:44:18 2026 begin with 201729052 relations and 174912180 unique ideals Mon Jun 22 03:48:51 2026 reduce to 201544477 relations and 169712329 ideals in 7 passes Mon Jun 22 03:48:51 2026 max relations containing the same ideal: 126 Mon Jun 22 03:51:50 2026 removing 7027488 relations and 5027488 ideals in 2000000 cliques Mon Jun 22 03:51:55 2026 commencing in-memory singleton removal Mon Jun 22 03:52:18 2026 begin with 194516989 relations and 169712329 unique ideals Mon Jun 22 03:56:14 2026 reduce to 194327400 relations and 164493312 ideals in 6 passes Mon Jun 22 03:56:14 2026 max relations containing the same ideal: 123 Mon Jun 22 03:59:00 2026 removing 7045738 relations and 5045738 ideals in 2000000 cliques Mon Jun 22 03:59:05 2026 commencing in-memory singleton removal Mon Jun 22 03:59:22 2026 begin with 187281662 relations and 164493312 unique ideals Mon Jun 22 04:03:06 2026 reduce to 187084925 relations and 159248759 ideals in 6 passes Mon Jun 22 04:03:06 2026 max relations containing the same ideal: 119 Mon Jun 22 04:05:42 2026 removing 7068943 relations and 5068943 ideals in 2000000 cliques Mon Jun 22 04:05:47 2026 commencing in-memory singleton removal Mon Jun 22 04:06:06 2026 begin with 180015982 relations and 159248759 unique ideals Mon Jun 22 04:09:53 2026 reduce to 179812383 relations and 153973940 ideals in 6 passes Mon Jun 22 04:09:53 2026 max relations containing the same ideal: 117 Mon Jun 22 04:12:27 2026 removing 7091840 relations and 5091840 ideals in 2000000 cliques Mon Jun 22 04:12:31 2026 commencing in-memory singleton removal Mon Jun 22 04:12:49 2026 begin with 172720543 relations and 153973940 unique ideals Mon Jun 22 04:16:27 2026 reduce to 172508018 relations and 148667110 ideals in 6 passes Mon Jun 22 04:16:27 2026 max relations containing the same ideal: 114 Mon Jun 22 04:18:54 2026 removing 7117548 relations and 5117548 ideals in 2000000 cliques Mon Jun 22 04:18:59 2026 commencing in-memory singleton removal Mon Jun 22 04:19:14 2026 begin with 165390470 relations and 148667110 unique ideals Mon Jun 22 04:22:35 2026 reduce to 165170037 relations and 143326557 ideals in 6 passes Mon Jun 22 04:22:35 2026 max relations containing the same ideal: 110 Mon Jun 22 04:24:55 2026 removing 7144631 relations and 5144631 ideals in 2000000 cliques Mon Jun 22 04:24:59 2026 commencing in-memory singleton removal Mon Jun 22 04:25:14 2026 begin with 158025406 relations and 143326557 unique ideals Mon Jun 22 04:28:18 2026 reduce to 157795451 relations and 137949232 ideals in 6 passes Mon Jun 22 04:28:18 2026 max relations containing the same ideal: 107 Mon Jun 22 04:30:45 2026 removing 7180594 relations and 5180594 ideals in 2000000 cliques Mon Jun 22 04:30:49 2026 commencing in-memory singleton removal Mon Jun 22 04:31:04 2026 begin with 150614857 relations and 137949232 unique ideals Mon Jun 22 04:34:38 2026 reduce to 150372626 relations and 132523479 ideals in 7 passes Mon Jun 22 04:34:38 2026 max relations containing the same ideal: 104 Mon Jun 22 04:36:44 2026 removing 7220119 relations and 5220119 ideals in 2000000 cliques Mon Jun 22 04:36:48 2026 commencing in-memory singleton removal Mon Jun 22 04:37:05 2026 begin with 143152507 relations and 132523479 unique ideals Mon Jun 22 04:39:53 2026 reduce to 142898944 relations and 127046645 ideals in 6 passes Mon Jun 22 04:39:53 2026 max relations containing the same ideal: 100 Mon Jun 22 04:41:54 2026 removing 7259751 relations and 5259751 ideals in 2000000 cliques Mon Jun 22 04:41:58 2026 commencing in-memory singleton removal Mon Jun 22 04:42:10 2026 begin with 135639193 relations and 127046645 unique ideals Mon Jun 22 04:45:30 2026 reduce to 135372099 relations and 121516406 ideals in 8 passes Mon Jun 22 04:45:30 2026 max relations containing the same ideal: 98 Mon Jun 22 04:47:31 2026 removing 7302513 relations and 5302513 ideals in 2000000 cliques Mon Jun 22 04:47:35 2026 commencing in-memory singleton removal Mon Jun 22 04:47:48 2026 begin with 128069586 relations and 121516406 unique ideals Mon Jun 22 04:50:41 2026 reduce to 127787482 relations and 115927974 ideals in 7 passes Mon Jun 22 04:50:41 2026 max relations containing the same ideal: 94 Mon Jun 22 04:52:44 2026 removing 7352329 relations and 5352329 ideals in 2000000 cliques Mon Jun 22 04:52:48 2026 commencing in-memory singleton removal Mon Jun 22 04:53:01 2026 begin with 120435153 relations and 115927974 unique ideals Mon Jun 22 04:55:46 2026 reduce to 120134008 relations and 110270410 ideals in 7 passes Mon Jun 22 04:55:46 2026 max relations containing the same ideal: 91 Mon Jun 22 04:57:37 2026 removing 7409996 relations and 5409996 ideals in 2000000 cliques Mon Jun 22 04:57:41 2026 commencing in-memory singleton removal Mon Jun 22 04:57:54 2026 begin with 112724012 relations and 110270410 unique ideals Mon Jun 22 05:00:35 2026 reduce to 112402151 relations and 104533821 ideals in 7 passes Mon Jun 22 05:00:35 2026 max relations containing the same ideal: 86 Mon Jun 22 05:02:10 2026 removing 7469121 relations and 5469121 ideals in 2000000 cliques Mon Jun 22 05:02:13 2026 commencing in-memory singleton removal Mon Jun 22 05:02:23 2026 begin with 104933030 relations and 104533821 unique ideals Mon Jun 22 05:04:46 2026 reduce to 104581840 relations and 98708230 ideals in 7 passes Mon Jun 22 05:04:46 2026 max relations containing the same ideal: 85 Mon Jun 22 05:06:11 2026 removing 7543470 relations and 5543470 ideals in 2000000 cliques Mon Jun 22 05:06:14 2026 commencing in-memory singleton removal Mon Jun 22 05:06:23 2026 begin with 97038370 relations and 98708230 unique ideals Mon Jun 22 05:08:17 2026 reduce to 96655457 relations and 92775578 ideals in 7 passes Mon Jun 22 05:08:17 2026 max relations containing the same ideal: 82 Mon Jun 22 05:09:42 2026 removing 4689819 relations and 3586407 ideals in 1103412 cliques Mon Jun 22 05:09:45 2026 commencing in-memory singleton removal Mon Jun 22 05:09:56 2026 begin with 91965638 relations and 92775578 unique ideals Mon Jun 22 05:11:53 2026 reduce to 91812143 relations and 89034289 ideals in 7 passes Mon Jun 22 05:11:53 2026 max relations containing the same ideal: 78 Mon Jun 22 05:13:35 2026 relations with 0 large ideals: 90912 Mon Jun 22 05:13:35 2026 relations with 1 large ideals: 56763 Mon Jun 22 05:13:35 2026 relations with 2 large ideals: 699319 Mon Jun 22 05:13:35 2026 relations with 3 large ideals: 3959523 Mon Jun 22 05:13:35 2026 relations with 4 large ideals: 12014559 Mon Jun 22 05:13:35 2026 relations with 5 large ideals: 21651959 Mon Jun 22 05:13:35 2026 relations with 6 large ideals: 24363069 Mon Jun 22 05:13:35 2026 relations with 7+ large ideals: 28976039 Mon Jun 22 05:13:35 2026 commencing 2-way merge Mon Jun 22 05:15:11 2026 reduce to 58558055 relation sets and 55780201 unique ideals Mon Jun 22 05:15:11 2026 commencing full merge Mon Jun 22 05:50:32 2026 memory use: 7202.6 MB Mon Jun 22 05:50:44 2026 found 27715085 cycles, need 27376401 Mon Jun 22 05:50:57 2026 weight of 27376401 cycles is about 3011965131 (110.02/cycle) Mon Jun 22 05:50:58 2026 distribution of cycle lengths: Mon Jun 22 05:50:58 2026 1 relations: 1528442 Mon Jun 22 05:50:58 2026 2 relations: 1931372 Mon Jun 22 05:50:58 2026 3 relations: 2181334 Mon Jun 22 05:50:58 2026 4 relations: 2217974 Mon Jun 22 05:50:58 2026 5 relations: 2238736 Mon Jun 22 05:50:58 2026 6 relations: 2213277 Mon Jun 22 05:50:58 2026 7 relations: 2129574 Mon Jun 22 05:50:58 2026 8 relations: 2018595 Mon Jun 22 05:50:58 2026 9 relations: 1862651 Mon Jun 22 05:50:58 2026 10+ relations: 9054446 Mon Jun 22 05:50:58 2026 heaviest cycle: 27 relations Mon Jun 22 05:51:13 2026 commencing cycle optimization Mon Jun 22 05:52:39 2026 start with 213551235 relations Mon Jun 22 06:04:38 2026 pruned 8156667 relations Mon Jun 22 06:04:39 2026 memory use: 5999.6 MB Mon Jun 22 06:04:39 2026 distribution of cycle lengths: Mon Jun 22 06:04:39 2026 1 relations: 1528442 Mon Jun 22 06:04:39 2026 2 relations: 1976081 Mon Jun 22 06:04:39 2026 3 relations: 2267657 Mon Jun 22 06:04:39 2026 4 relations: 2300201 Mon Jun 22 06:04:39 2026 5 relations: 2338839 Mon Jun 22 06:04:39 2026 6 relations: 2303519 Mon Jun 22 06:04:39 2026 7 relations: 2227071 Mon Jun 22 06:04:39 2026 8 relations: 2097232 Mon Jun 22 06:04:39 2026 9 relations: 1929209 Mon Jun 22 06:04:39 2026 10+ relations: 8408150 Mon Jun 22 06:04:39 2026 heaviest cycle: 27 relations Mon Jun 22 06:05:56 2026 RelProcTime: 49273 Mon Jun 22 06:05:56 2026 elapsed time 13:41:14 Mon Jun 22 16:18:59 2026 Mon Jun 22 16:18:59 2026 Mon Jun 22 16:18:59 2026 Msieve v. 1.54 (SVN 1028) Mon Jun 22 16:18:59 2026 random seeds: ad95c208 8e280517 Mon Jun 22 16:18:59 2026 factoring 1815216486640497261220443545761342193373699472283391399850494435949118953145914532849288286515134392070548210907516895896476732045867285569142736546406032315163430690226594947816410956251750820941583267475078676934808331496933883 (229 digits) Mon Jun 22 16:19:01 2026 no P-1/P+1/ECM available, skipping Mon Jun 22 16:19:01 2026 commencing number field sieve (229-digit input) Mon Jun 22 16:19:01 2026 R0: 1 Mon Jun 22 16:19:01 2026 R1: -22835963083295358096932575511191922182123945984 Mon Jun 22 16:19:01 2026 A0: -40 Mon Jun 22 16:19:01 2026 A1: 0 Mon Jun 22 16:19:01 2026 A2: 0 Mon Jun 22 16:19:01 2026 A3: 0 Mon Jun 22 16:19:01 2026 A4: 0 Mon Jun 22 16:19:01 2026 A5: 0 Mon Jun 22 16:19:01 2026 A6: 1 Mon Jun 22 16:19:01 2026 skew 1.42, size 1.119e-13, alpha 0.660, combined = 2.161e-14 rroots = 2 Mon Jun 22 16:19:01 2026 Mon Jun 22 16:19:01 2026 commencing linear algebra Mon Jun 22 16:19:04 2026 read 27376401 cycles Mon Jun 22 16:19:58 2026 cycles contain 90411054 unique relations Mon Jun 22 16:31:37 2026 read 90411054 relations Mon Jun 22 16:36:03 2026 using 20 quadratic characters above 4294917295 Mon Jun 22 16:40:01 2026 building initial matrix Mon Jun 22 16:56:47 2026 memory use: 12073.7 MB Mon Jun 22 16:57:03 2026 read 27376401 cycles Mon Jun 22 16:57:08 2026 matrix is 27376224 x 27376401 (12009.0 MB) with weight 3488761399 (127.44/col) Mon Jun 22 16:57:08 2026 sparse part has weight 2846945628 (103.99/col) Mon Jun 22 17:01:58 2026 filtering completed in 2 passes Mon Jun 22 17:02:03 2026 matrix is 27374545 x 27374721 (12008.8 MB) with weight 3488701199 (127.44/col) Mon Jun 22 17:02:03 2026 sparse part has weight 2846923935 (104.00/col) Mon Jun 22 17:04:50 2026 matrix starts at (0, 0) Mon Jun 22 17:04:54 2026 matrix is 27374545 x 27374721 (12008.8 MB) with weight 3488701199 (127.44/col) Mon Jun 22 17:04:54 2026 sparse part has weight 2846923935 (104.00/col) Mon Jun 22 17:04:54 2026 saving the first 112 matrix rows for later Mon Jun 22 17:05:01 2026 matrix includes 128 packed rows Mon Jun 22 17:05:10 2026 matrix is 27374433 x 27374721 (11251.2 MB) with weight 2760894259 (100.86/col) Mon Jun 22 17:05:10 2026 sparse part has weight 2620929383 (95.74/col) Mon Jun 22 17:05:10 2026 using block size 8192 and superblock size 3145728 for processor cache size 65536 kB Mon Jun 22 17:06:10 2026 commencing Lanczos iteration (16 threads) Mon Jun 22 17:06:10 2026 memory use: 12729.3 MB Mon Jun 22 17:07:45 2026 linear algebra at 0.0%, ETA 432h21m Mon Jun 22 17:08:15 2026 checkpointing every 70000 dimensions Sun Jul 5 16:19:09 2026 lanczos halted after 215150 iterations (dim = 27374427) Sun Jul 5 16:19:51 2026 recovered 33 nontrivial dependencies Sun Jul 5 16:19:52 2026 BLanczosTime: 1123251 Sun Jul 5 16:19:52 2026 Sun Jul 5 16:19:52 2026 commencing square root phase Sun Jul 5 16:19:52 2026 reading relations for dependency 1 Sun Jul 5 16:19:59 2026 read 13686688 cycles Sun Jul 5 16:20:19 2026 cycles contain 45207470 unique relations Sun Jul 5 16:31:50 2026 read 45207470 relations Sun Jul 5 16:35:53 2026 multiplying 45207470 relations Sun Jul 5 17:09:48 2026 multiply complete, coefficients have about 1223.39 million bits Sun Jul 5 17:09:50 2026 initial square root is modulo 307537 Sun Jul 5 17:48:17 2026 sqrtTime: 5305 Sun Jul 5 17:48:17 2026 p95 factor: 13352605938113117116591985983899880314380032153135309334622449931240584371228726528745939061547 Sun Jul 5 17:48:17 2026 p135 factor: 135944735810649487070160819083718973283721181092458006143470944382812833224689873810833417932414643421368207366724879213629176451224689 Sun Jul 5 17:48:17 2026 elapsed time 313:29:18