Sun Jul 26 14:00:57 2026 Sun Jul 26 14:00:57 2026 Sun Jul 26 14:00:57 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jul 26 14:00:57 2026 random seeds: df24791f 730f132b Sun Jul 26 14:00:57 2026 MPI process 0 of 1 Sun Jul 26 14:00:57 2026 Using 46 OpenMP threads Sun Jul 26 14:00:57 2026 factoring 386945240199006496988612976024497923523120597222776967856413087714764575671807831061432367037909455469953833246615843507361282419687109067891319452724710062926748846404926456550210897528400138501250671 (201 digits) Sun Jul 26 14:00:58 2026 no P-1/P+1/ECM available, skipping Sun Jul 26 14:00:58 2026 commencing number field sieve (201-digit input) Sun Jul 26 14:00:58 2026 R0: -292182402903098906209519787674537540529 Sun Jul 26 14:00:58 2026 R1: 339432930240246486636399138397 Sun Jul 26 14:00:58 2026 A0: 1032907808050152991253757304057234056455484400 Sun Jul 26 14:00:58 2026 A1: -145773650619157532929520171128171508124 Sun Jul 26 14:00:58 2026 A2: -41721863853323698744232900698024 Sun Jul 26 14:00:58 2026 A3: 266831456612795796403729 Sun Jul 26 14:00:58 2026 A4: -14859699434391310 Sun Jul 26 14:00:58 2026 A5: 198678480 Sun Jul 26 14:00:58 2026 skew 28365420.68, size 1.049e-19, alpha -6.717, combined = 4.245e-15 rroots = 3 Sun Jul 26 14:00:58 2026 Sun Jul 26 14:00:58 2026 commencing relation filtering Sun Jul 26 14:00:58 2026 setting target matrix density to 110.0 Sun Jul 26 14:00:58 2026 estimated available RAM is 192068.7 MB Sun Jul 26 14:00:58 2026 commencing duplicate removal, pass 1 Sun Jul 26 14:01:12 2026 error -11 reading relation 17817695 Sun Jul 26 14:03:19 2026 error -5 reading relation 188973795 Sun Jul 26 14:07:00 2026 error -1 reading relation 481637637 Sun Jul 26 14:07:21 2026 error -5 reading relation 508226389 Sun Jul 26 14:08:07 2026 error -11 reading relation 565183818 Sun Jul 26 14:08:07 2026 error -11 reading relation 565193761 Sun Jul 26 14:08:25 2026 error -1 reading relation 589771469 Sun Jul 26 14:09:24 2026 error -1 reading relation 675238814 Sun Jul 26 14:09:45 2026 error -1 reading relation 706622730 Sun Jul 26 14:09:46 2026 error -5 reading relation 708207507 Sun Jul 26 14:10:29 2026 error -5 reading relation 772219714 Sun Jul 26 14:11:02 2026 error -1 reading relation 819463417 Sun Jul 26 14:13:29 2026 skipped 1 relations with composite factors Sun Jul 26 14:13:29 2026 skipped 1911 malformed relations Sun Jul 26 14:13:29 2026 found 57666501 hash collisions in 1035247595 relations Sun Jul 26 14:13:59 2026 added 122025 free relations Sun Jul 26 14:13:59 2026 commencing duplicate removal, pass 2 Sun Jul 26 14:18:43 2026 found 1 duplicates and 1035369619 unique relations Sun Jul 26 14:18:43 2026 memory use: 3411.0 MB Sun Jul 26 14:18:43 2026 reading ideals above 462618624 Sun Jul 26 14:18:43 2026 commencing singleton removal, initial pass Sun Jul 26 14:44:36 2026 memory use: 21024.0 MB Sun Jul 26 14:44:36 2026 reading all ideals from disk Sun Jul 26 14:44:51 2026 memory use: 27734.4 MB Sun Jul 26 14:45:28 2026 commencing in-memory singleton removal Sun Jul 26 14:45:33 2026 begin with 1035369619 relations and 896059199 unique ideals Sun Jul 26 14:46:07 2026 reduce to 664176678 relations and 487763925 ideals in 14 passes Sun Jul 26 14:46:07 2026 max relations containing the same ideal: 37 Sun Jul 26 14:46:28 2026 reading ideals above 720000 Sun Jul 26 14:46:28 2026 commencing singleton removal, initial pass Sun Jul 26 15:19:02 2026 memory use: 11024.0 MB Sun Jul 26 15:19:03 2026 reading all ideals from disk Sun Jul 26 15:19:25 2026 memory use: 34792.3 MB Sun Jul 26 15:20:22 2026 keeping 533203416 ideals with weight <= 200, target excess is 3545619 Sun Jul 26 15:21:35 2026 commencing in-memory singleton removal Sun Jul 26 15:21:41 2026 begin with 664176678 relations and 533203416 unique ideals Sun Jul 26 15:22:02 2026 reduce to 664175442 relations and 533202180 ideals in 7 passes Sun Jul 26 15:22:02 2026 max relations containing the same ideal: 200 Sun Jul 26 15:24:52 2026 removing 16398804 relations and 14398804 ideals in 2000000 cliques Sun Jul 26 15:25:10 2026 commencing in-memory singleton removal Sun Jul 26 15:25:17 2026 begin with 647776638 relations and 533202180 unique ideals Sun Jul 26 15:25:39 2026 reduce to 647480906 relations and 518506263 ideals in 8 passes Sun Jul 26 15:25:39 2026 max relations containing the same ideal: 200 Sun Jul 26 15:28:54 2026 removing 12365822 relations and 10365822 ideals in 2000000 cliques Sun Jul 26 15:29:12 2026 commencing in-memory singleton removal Sun Jul 26 15:29:19 2026 begin with 635115084 relations and 518506263 unique ideals Sun Jul 26 15:29:38 2026 reduce to 634930489 relations and 507955160 ideals in 7 passes Sun Jul 26 15:29:38 2026 max relations containing the same ideal: 200 Sun Jul 26 15:32:49 2026 removing 11055648 relations and 9055648 ideals in 2000000 cliques Sun Jul 26 15:33:06 2026 commencing in-memory singleton removal Sun Jul 26 15:33:13 2026 begin with 623874841 relations and 507955160 unique ideals Sun Jul 26 15:33:32 2026 reduce to 623721438 relations and 498745500 ideals in 7 passes Sun Jul 26 15:33:32 2026 max relations containing the same ideal: 199 Sun Jul 26 15:36:26 2026 removing 10298971 relations and 8298971 ideals in 2000000 cliques Sun Jul 26 15:36:43 2026 commencing in-memory singleton removal Sun Jul 26 15:36:49 2026 begin with 613422467 relations and 498745500 unique ideals Sun Jul 26 15:37:08 2026 reduce to 613285122 relations and 490308771 ideals in 7 passes Sun Jul 26 15:37:08 2026 max relations containing the same ideal: 198 Sun Jul 26 15:40:04 2026 removing 9771702 relations and 7771702 ideals in 2000000 cliques Sun Jul 26 15:40:20 2026 commencing in-memory singleton removal Sun Jul 26 15:40:27 2026 begin with 603513420 relations and 490308771 unique ideals Sun Jul 26 15:40:43 2026 reduce to 603385677 relations and 482408898 ideals in 6 passes Sun Jul 26 15:40:43 2026 max relations containing the same ideal: 197 Sun Jul 26 15:43:31 2026 removing 9386394 relations and 7386394 ideals in 2000000 cliques Sun Jul 26 15:43:47 2026 commencing in-memory singleton removal Sun Jul 26 15:43:53 2026 begin with 593999283 relations and 482408898 unique ideals Sun Jul 26 15:44:12 2026 reduce to 593879325 relations and 474902133 ideals in 7 passes Sun Jul 26 15:44:12 2026 max relations containing the same ideal: 195 Sun Jul 26 15:46:44 2026 removing 9078816 relations and 7078816 ideals in 2000000 cliques Sun Jul 26 15:46:59 2026 commencing in-memory singleton removal Sun Jul 26 15:47:05 2026 begin with 584800509 relations and 474902133 unique ideals Sun Jul 26 15:47:22 2026 reduce to 584685289 relations and 467707690 ideals in 6 passes Sun Jul 26 15:47:22 2026 max relations containing the same ideal: 194 Sun Jul 26 15:49:52 2026 removing 8832482 relations and 6832482 ideals in 2000000 cliques Sun Jul 26 15:50:08 2026 commencing in-memory singleton removal Sun Jul 26 15:50:14 2026 begin with 575852807 relations and 467707690 unique ideals Sun Jul 26 15:50:29 2026 reduce to 575742095 relations and 460764141 ideals in 6 passes Sun Jul 26 15:50:29 2026 max relations containing the same ideal: 191 Sun Jul 26 15:53:03 2026 removing 8623679 relations and 6623679 ideals in 2000000 cliques Sun Jul 26 15:53:18 2026 commencing in-memory singleton removal Sun Jul 26 15:53:24 2026 begin with 567118416 relations and 460764141 unique ideals Sun Jul 26 15:53:39 2026 reduce to 567010772 relations and 454032439 ideals in 6 passes Sun Jul 26 15:53:39 2026 max relations containing the same ideal: 190 Sun Jul 26 15:56:30 2026 removing 8448301 relations and 6448301 ideals in 2000000 cliques Sun Jul 26 15:56:45 2026 commencing in-memory singleton removal Sun Jul 26 15:56:50 2026 begin with 558562471 relations and 454032439 unique ideals Sun Jul 26 15:57:05 2026 reduce to 558457219 relations and 447478526 ideals in 6 passes Sun Jul 26 15:57:05 2026 max relations containing the same ideal: 189 Sun Jul 26 15:59:37 2026 removing 8297004 relations and 6297004 ideals in 2000000 cliques Sun Jul 26 15:59:51 2026 commencing in-memory singleton removal Sun Jul 26 15:59:57 2026 begin with 550160215 relations and 447478526 unique ideals Sun Jul 26 16:00:13 2026 reduce to 550056099 relations and 441077066 ideals in 7 passes Sun Jul 26 16:00:13 2026 max relations containing the same ideal: 188 Sun Jul 26 16:02:42 2026 removing 8169812 relations and 6169812 ideals in 2000000 cliques Sun Jul 26 16:02:57 2026 commencing in-memory singleton removal Sun Jul 26 16:03:02 2026 begin with 541886287 relations and 441077066 unique ideals Sun Jul 26 16:03:17 2026 reduce to 541783822 relations and 434804440 ideals in 6 passes Sun Jul 26 16:03:17 2026 max relations containing the same ideal: 187 Sun Jul 26 16:05:36 2026 removing 8049272 relations and 6049272 ideals in 2000000 cliques Sun Jul 26 16:05:50 2026 commencing in-memory singleton removal Sun Jul 26 16:05:56 2026 begin with 533734550 relations and 434804440 unique ideals Sun Jul 26 16:06:11 2026 reduce to 533633773 relations and 428654005 ideals in 6 passes Sun Jul 26 16:06:11 2026 max relations containing the same ideal: 185 Sun Jul 26 16:08:50 2026 removing 7952120 relations and 5952120 ideals in 2000000 cliques Sun Jul 26 16:09:04 2026 commencing in-memory singleton removal Sun Jul 26 16:09:10 2026 begin with 525681653 relations and 428654005 unique ideals Sun Jul 26 16:09:25 2026 reduce to 525581164 relations and 422600996 ideals in 7 passes Sun Jul 26 16:09:25 2026 max relations containing the same ideal: 185 Sun Jul 26 16:11:36 2026 removing 7867199 relations and 5867199 ideals in 2000000 cliques Sun Jul 26 16:11:49 2026 commencing in-memory singleton removal Sun Jul 26 16:11:55 2026 begin with 517713965 relations and 422600996 unique ideals Sun Jul 26 16:12:09 2026 reduce to 517614308 relations and 416633740 ideals in 6 passes Sun Jul 26 16:12:09 2026 max relations containing the same ideal: 185 Sun Jul 26 16:14:25 2026 removing 7786638 relations and 5786638 ideals in 2000000 cliques Sun Jul 26 16:14:38 2026 commencing in-memory singleton removal Sun Jul 26 16:14:44 2026 begin with 509827670 relations and 416633740 unique ideals Sun Jul 26 16:14:57 2026 reduce to 509727732 relations and 410746769 ideals in 6 passes Sun Jul 26 16:14:57 2026 max relations containing the same ideal: 181 Sun Jul 26 16:17:28 2026 removing 7716313 relations and 5716313 ideals in 2000000 cliques Sun Jul 26 16:17:41 2026 commencing in-memory singleton removal Sun Jul 26 16:17:46 2026 begin with 502011419 relations and 410746769 unique ideals Sun Jul 26 16:17:59 2026 reduce to 501911759 relations and 404930371 ideals in 6 passes Sun Jul 26 16:17:59 2026 max relations containing the same ideal: 179 Sun Jul 26 16:20:05 2026 removing 7653415 relations and 5653415 ideals in 2000000 cliques Sun Jul 26 16:20:18 2026 commencing in-memory singleton removal Sun Jul 26 16:20:23 2026 begin with 494258344 relations and 404930371 unique ideals Sun Jul 26 16:20:36 2026 reduce to 494158716 relations and 399176897 ideals in 6 passes Sun Jul 26 16:20:36 2026 max relations containing the same ideal: 177 Sun Jul 26 16:23:06 2026 removing 7597798 relations and 5597798 ideals in 2000000 cliques Sun Jul 26 16:23:19 2026 commencing in-memory singleton removal Sun Jul 26 16:23:24 2026 begin with 486560918 relations and 399176897 unique ideals Sun Jul 26 16:23:39 2026 reduce to 486460687 relations and 393478388 ideals in 7 passes Sun Jul 26 16:23:39 2026 max relations containing the same ideal: 175 Sun Jul 26 16:25:46 2026 removing 7545561 relations and 5545561 ideals in 2000000 cliques Sun Jul 26 16:25:59 2026 commencing in-memory singleton removal Sun Jul 26 16:26:04 2026 begin with 478915126 relations and 393478388 unique ideals Sun Jul 26 16:26:16 2026 reduce to 478814892 relations and 387832117 ideals in 6 passes Sun Jul 26 16:26:16 2026 max relations containing the same ideal: 174 Sun Jul 26 16:28:43 2026 removing 7497630 relations and 5497630 ideals in 2000000 cliques Sun Jul 26 16:28:56 2026 commencing in-memory singleton removal Sun Jul 26 16:29:00 2026 begin with 471317262 relations and 387832117 unique ideals Sun Jul 26 16:29:13 2026 reduce to 471216061 relations and 382232805 ideals in 6 passes Sun Jul 26 16:29:13 2026 max relations containing the same ideal: 172 Sun Jul 26 16:31:35 2026 removing 7461149 relations and 5461149 ideals in 2000000 cliques Sun Jul 26 16:31:47 2026 commencing in-memory singleton removal Sun Jul 26 16:31:52 2026 begin with 463754912 relations and 382232805 unique ideals Sun Jul 26 16:32:04 2026 reduce to 463652788 relations and 376669065 ideals in 6 passes Sun Jul 26 16:32:04 2026 max relations containing the same ideal: 170 Sun Jul 26 16:34:18 2026 removing 7426137 relations and 5426137 ideals in 2000000 cliques Sun Jul 26 16:34:30 2026 commencing in-memory singleton removal Sun Jul 26 16:34:35 2026 begin with 456226651 relations and 376669065 unique ideals Sun Jul 26 16:34:47 2026 reduce to 456124520 relations and 371140290 ideals in 6 passes Sun Jul 26 16:34:47 2026 max relations containing the same ideal: 169 Sun Jul 26 16:37:01 2026 removing 7395350 relations and 5395350 ideals in 2000000 cliques Sun Jul 26 16:37:13 2026 commencing in-memory singleton removal Sun Jul 26 16:37:17 2026 begin with 448729170 relations and 371140290 unique ideals Sun Jul 26 16:37:30 2026 reduce to 448626115 relations and 365641362 ideals in 6 passes Sun Jul 26 16:37:30 2026 max relations containing the same ideal: 169 Sun Jul 26 16:39:50 2026 removing 7359345 relations and 5359345 ideals in 2000000 cliques Sun Jul 26 16:40:02 2026 commencing in-memory singleton removal Sun Jul 26 16:40:07 2026 begin with 441266770 relations and 365641362 unique ideals Sun Jul 26 16:40:18 2026 reduce to 441163286 relations and 360177963 ideals in 6 passes Sun Jul 26 16:40:18 2026 max relations containing the same ideal: 168 Sun Jul 26 16:42:26 2026 removing 7336981 relations and 5336981 ideals in 2000000 cliques Sun Jul 26 16:42:37 2026 commencing in-memory singleton removal Sun Jul 26 16:42:42 2026 begin with 433826305 relations and 360177963 unique ideals Sun Jul 26 16:42:53 2026 reduce to 433720992 relations and 354735067 ideals in 6 passes Sun Jul 26 16:42:53 2026 max relations containing the same ideal: 165 Sun Jul 26 16:44:56 2026 removing 7312534 relations and 5312534 ideals in 2000000 cliques Sun Jul 26 16:45:07 2026 commencing in-memory singleton removal Sun Jul 26 16:45:11 2026 begin with 426408458 relations and 354735067 unique ideals Sun Jul 26 16:45:23 2026 reduce to 426302531 relations and 349316051 ideals in 7 passes Sun Jul 26 16:45:23 2026 max relations containing the same ideal: 164 Sun Jul 26 16:47:15 2026 removing 7290101 relations and 5290101 ideals in 2000000 cliques Sun Jul 26 16:47:26 2026 commencing in-memory singleton removal Sun Jul 26 16:47:30 2026 begin with 419012430 relations and 349316051 unique ideals Sun Jul 26 16:47:41 2026 reduce to 418905158 relations and 343918076 ideals in 6 passes Sun Jul 26 16:47:41 2026 max relations containing the same ideal: 160 Sun Jul 26 16:49:31 2026 removing 7276087 relations and 5276087 ideals in 2000000 cliques Sun Jul 26 16:49:42 2026 commencing in-memory singleton removal Sun Jul 26 16:49:46 2026 begin with 411629071 relations and 343918076 unique ideals Sun Jul 26 16:49:58 2026 reduce to 411519918 relations and 338532200 ideals in 6 passes Sun Jul 26 16:49:58 2026 max relations containing the same ideal: 158 Sun Jul 26 16:51:47 2026 removing 7259462 relations and 5259462 ideals in 2000000 cliques Sun Jul 26 16:51:58 2026 commencing in-memory singleton removal Sun Jul 26 16:52:02 2026 begin with 404260456 relations and 338532200 unique ideals Sun Jul 26 16:52:12 2026 reduce to 404150704 relations and 333162312 ideals in 6 passes Sun Jul 26 16:52:12 2026 max relations containing the same ideal: 155 Sun Jul 26 16:53:54 2026 removing 7250746 relations and 5250746 ideals in 2000000 cliques Sun Jul 26 16:54:05 2026 commencing in-memory singleton removal Sun Jul 26 16:54:09 2026 begin with 396899958 relations and 333162312 unique ideals Sun Jul 26 16:54:19 2026 reduce to 396787688 relations and 327798631 ideals in 6 passes Sun Jul 26 16:54:19 2026 max relations containing the same ideal: 154 Sun Jul 26 16:56:06 2026 removing 7235413 relations and 5235413 ideals in 2000000 cliques Sun Jul 26 16:56:16 2026 commencing in-memory singleton removal Sun Jul 26 16:56:20 2026 begin with 389552275 relations and 327798631 unique ideals Sun Jul 26 16:56:32 2026 reduce to 389438493 relations and 322448735 ideals in 7 passes Sun Jul 26 16:56:32 2026 max relations containing the same ideal: 154 Sun Jul 26 16:58:16 2026 removing 7233366 relations and 5233366 ideals in 2000000 cliques Sun Jul 26 16:58:26 2026 commencing in-memory singleton removal Sun Jul 26 16:58:30 2026 begin with 382205127 relations and 322448735 unique ideals Sun Jul 26 16:58:40 2026 reduce to 382089768 relations and 317099309 ideals in 6 passes Sun Jul 26 16:58:40 2026 max relations containing the same ideal: 149 Sun Jul 26 17:00:23 2026 removing 7223582 relations and 5223582 ideals in 2000000 cliques Sun Jul 26 17:00:33 2026 commencing in-memory singleton removal Sun Jul 26 17:00:37 2026 begin with 374866186 relations and 317099309 unique ideals Sun Jul 26 17:00:47 2026 reduce to 374748602 relations and 311757326 ideals in 6 passes Sun Jul 26 17:00:47 2026 max relations containing the same ideal: 147 Sun Jul 26 17:02:26 2026 removing 7220958 relations and 5220958 ideals in 2000000 cliques Sun Jul 26 17:02:36 2026 commencing in-memory singleton removal Sun Jul 26 17:02:40 2026 begin with 367527644 relations and 311757326 unique ideals Sun Jul 26 17:02:50 2026 reduce to 367407698 relations and 306415596 ideals in 6 passes Sun Jul 26 17:02:50 2026 max relations containing the same ideal: 145 Sun Jul 26 17:04:28 2026 removing 7222315 relations and 5222315 ideals in 2000000 cliques Sun Jul 26 17:04:37 2026 commencing in-memory singleton removal Sun Jul 26 17:04:41 2026 begin with 360185383 relations and 306415596 unique ideals Sun Jul 26 17:04:49 2026 reduce to 360062959 relations and 301070015 ideals in 5 passes Sun Jul 26 17:04:49 2026 max relations containing the same ideal: 143 Sun Jul 26 17:06:25 2026 removing 7220094 relations and 5220094 ideals in 2000000 cliques Sun Jul 26 17:06:35 2026 commencing in-memory singleton removal Sun Jul 26 17:06:38 2026 begin with 352842865 relations and 301070015 unique ideals Sun Jul 26 17:06:49 2026 reduce to 352718533 relations and 295724722 ideals in 7 passes Sun Jul 26 17:06:49 2026 max relations containing the same ideal: 142 Sun Jul 26 17:08:40 2026 removing 7225888 relations and 5225888 ideals in 2000000 cliques Sun Jul 26 17:08:50 2026 commencing in-memory singleton removal Sun Jul 26 17:08:54 2026 begin with 345492645 relations and 295724722 unique ideals Sun Jul 26 17:09:03 2026 reduce to 345366066 relations and 290371360 ideals in 7 passes Sun Jul 26 17:09:03 2026 max relations containing the same ideal: 141 Sun Jul 26 17:10:52 2026 removing 7231289 relations and 5231289 ideals in 2000000 cliques Sun Jul 26 17:11:02 2026 commencing in-memory singleton removal Sun Jul 26 17:11:05 2026 begin with 338134777 relations and 290371360 unique ideals Sun Jul 26 17:11:14 2026 reduce to 338005427 relations and 285009772 ideals in 6 passes Sun Jul 26 17:11:14 2026 max relations containing the same ideal: 138 Sun Jul 26 17:13:00 2026 removing 7236493 relations and 5236493 ideals in 2000000 cliques Sun Jul 26 17:13:09 2026 commencing in-memory singleton removal Sun Jul 26 17:13:13 2026 begin with 330768934 relations and 285009772 unique ideals Sun Jul 26 17:13:22 2026 reduce to 330636765 relations and 279640180 ideals in 6 passes Sun Jul 26 17:13:22 2026 max relations containing the same ideal: 135 Sun Jul 26 17:14:53 2026 removing 7248391 relations and 5248391 ideals in 2000000 cliques Sun Jul 26 17:15:01 2026 commencing in-memory singleton removal Sun Jul 26 17:15:05 2026 begin with 323388374 relations and 279640180 unique ideals Sun Jul 26 17:15:14 2026 reduce to 323253164 relations and 274255553 ideals in 7 passes Sun Jul 26 17:15:14 2026 max relations containing the same ideal: 133 Sun Jul 26 17:16:43 2026 removing 7256071 relations and 5256071 ideals in 2000000 cliques Sun Jul 26 17:16:51 2026 commencing in-memory singleton removal Sun Jul 26 17:16:55 2026 begin with 315997093 relations and 274255553 unique ideals Sun Jul 26 17:17:03 2026 reduce to 315858016 relations and 268859333 ideals in 6 passes Sun Jul 26 17:17:03 2026 max relations containing the same ideal: 132 Sun Jul 26 17:18:28 2026 removing 7271976 relations and 5271976 ideals in 2000000 cliques Sun Jul 26 17:18:37 2026 commencing in-memory singleton removal Sun Jul 26 17:18:40 2026 begin with 308586040 relations and 268859333 unique ideals Sun Jul 26 17:18:48 2026 reduce to 308443162 relations and 263443399 ideals in 6 passes Sun Jul 26 17:18:48 2026 max relations containing the same ideal: 131 Sun Jul 26 17:20:13 2026 removing 7291677 relations and 5291677 ideals in 2000000 cliques Sun Jul 26 17:20:21 2026 commencing in-memory singleton removal Sun Jul 26 17:20:24 2026 begin with 301151485 relations and 263443399 unique ideals Sun Jul 26 17:20:32 2026 reduce to 301005828 relations and 258004907 ideals in 6 passes Sun Jul 26 17:20:32 2026 max relations containing the same ideal: 128 Sun Jul 26 17:22:01 2026 removing 7306358 relations and 5306358 ideals in 2000000 cliques Sun Jul 26 17:22:09 2026 commencing in-memory singleton removal Sun Jul 26 17:22:12 2026 begin with 293699470 relations and 258004907 unique ideals Sun Jul 26 17:22:19 2026 reduce to 293549393 relations and 252547264 ideals in 6 passes Sun Jul 26 17:22:19 2026 max relations containing the same ideal: 126 Sun Jul 26 17:23:43 2026 removing 7330227 relations and 5330227 ideals in 2000000 cliques Sun Jul 26 17:23:51 2026 commencing in-memory singleton removal Sun Jul 26 17:23:54 2026 begin with 286219166 relations and 252547264 unique ideals Sun Jul 26 17:24:01 2026 reduce to 286065692 relations and 247062364 ideals in 6 passes Sun Jul 26 17:24:01 2026 max relations containing the same ideal: 124 Sun Jul 26 17:25:21 2026 removing 7355254 relations and 5355254 ideals in 2000000 cliques Sun Jul 26 17:25:29 2026 commencing in-memory singleton removal Sun Jul 26 17:25:32 2026 begin with 278710438 relations and 247062364 unique ideals Sun Jul 26 17:25:39 2026 reduce to 278551021 relations and 241546399 ideals in 6 passes Sun Jul 26 17:25:39 2026 max relations containing the same ideal: 122 Sun Jul 26 17:26:57 2026 removing 7383151 relations and 5383151 ideals in 2000000 cliques Sun Jul 26 17:27:04 2026 commencing in-memory singleton removal Sun Jul 26 17:27:07 2026 begin with 271167870 relations and 241546399 unique ideals Sun Jul 26 17:27:15 2026 reduce to 271004658 relations and 235998712 ideals in 7 passes Sun Jul 26 17:27:15 2026 max relations containing the same ideal: 122 Sun Jul 26 17:28:31 2026 removing 7414291 relations and 5414291 ideals in 2000000 cliques Sun Jul 26 17:28:38 2026 commencing in-memory singleton removal Sun Jul 26 17:28:41 2026 begin with 263590367 relations and 235998712 unique ideals Sun Jul 26 17:28:48 2026 reduce to 263420235 relations and 230412878 ideals in 6 passes Sun Jul 26 17:28:48 2026 max relations containing the same ideal: 117 Sun Jul 26 17:30:11 2026 removing 7447090 relations and 5447090 ideals in 2000000 cliques Sun Jul 26 17:30:19 2026 commencing in-memory singleton removal Sun Jul 26 17:30:21 2026 begin with 255973145 relations and 230412878 unique ideals Sun Jul 26 17:30:28 2026 reduce to 255798355 relations and 224789491 ideals in 7 passes Sun Jul 26 17:30:28 2026 max relations containing the same ideal: 115 Sun Jul 26 17:31:49 2026 removing 7487083 relations and 5487083 ideals in 2000000 cliques Sun Jul 26 17:31:57 2026 commencing in-memory singleton removal Sun Jul 26 17:31:59 2026 begin with 248311272 relations and 224789491 unique ideals Sun Jul 26 17:32:06 2026 reduce to 248128606 relations and 219118263 ideals in 6 passes Sun Jul 26 17:32:06 2026 max relations containing the same ideal: 113 Sun Jul 26 17:33:19 2026 removing 7533000 relations and 5533000 ideals in 2000000 cliques Sun Jul 26 17:33:26 2026 commencing in-memory singleton removal Sun Jul 26 17:33:29 2026 begin with 240595606 relations and 219118263 unique ideals Sun Jul 26 17:33:35 2026 reduce to 240406055 relations and 213394041 ideals in 6 passes Sun Jul 26 17:33:35 2026 max relations containing the same ideal: 110 Sun Jul 26 17:34:53 2026 removing 7578818 relations and 5578818 ideals in 2000000 cliques Sun Jul 26 17:35:00 2026 commencing in-memory singleton removal Sun Jul 26 17:35:02 2026 begin with 232827237 relations and 213394041 unique ideals Sun Jul 26 17:35:08 2026 reduce to 232630299 relations and 207616562 ideals in 6 passes Sun Jul 26 17:35:08 2026 max relations containing the same ideal: 106 Sun Jul 26 17:36:21 2026 removing 7631547 relations and 5631547 ideals in 2000000 cliques Sun Jul 26 17:36:28 2026 commencing in-memory singleton removal Sun Jul 26 17:36:30 2026 begin with 224998752 relations and 207616562 unique ideals Sun Jul 26 17:36:37 2026 reduce to 224792970 relations and 201777402 ideals in 8 passes Sun Jul 26 17:36:37 2026 max relations containing the same ideal: 104 Sun Jul 26 17:37:51 2026 removing 7686762 relations and 5686762 ideals in 2000000 cliques Sun Jul 26 17:37:57 2026 commencing in-memory singleton removal Sun Jul 26 17:38:00 2026 begin with 217106208 relations and 201777402 unique ideals Sun Jul 26 17:38:06 2026 reduce to 216891941 relations and 195874434 ideals in 7 passes Sun Jul 26 17:38:06 2026 max relations containing the same ideal: 101 Sun Jul 26 17:39:07 2026 removing 7751817 relations and 5751817 ideals in 2000000 cliques Sun Jul 26 17:39:13 2026 commencing in-memory singleton removal Sun Jul 26 17:39:15 2026 begin with 209140124 relations and 195874434 unique ideals Sun Jul 26 17:39:21 2026 reduce to 208914228 relations and 189894643 ideals in 6 passes Sun Jul 26 17:39:21 2026 max relations containing the same ideal: 100 Sun Jul 26 17:40:21 2026 removing 7820869 relations and 5820869 ideals in 2000000 cliques Sun Jul 26 17:40:28 2026 commencing in-memory singleton removal Sun Jul 26 17:40:30 2026 begin with 201093359 relations and 189894643 unique ideals Sun Jul 26 17:40:36 2026 reduce to 200855635 relations and 183833812 ideals in 7 passes Sun Jul 26 17:40:36 2026 max relations containing the same ideal: 100 Sun Jul 26 17:41:32 2026 removing 7900505 relations and 5900505 ideals in 2000000 cliques Sun Jul 26 17:41:38 2026 commencing in-memory singleton removal Sun Jul 26 17:41:40 2026 begin with 192955130 relations and 183833812 unique ideals Sun Jul 26 17:41:45 2026 reduce to 192703221 relations and 177679057 ideals in 7 passes Sun Jul 26 17:41:45 2026 max relations containing the same ideal: 96 Sun Jul 26 17:42:50 2026 removing 7985008 relations and 5985008 ideals in 2000000 cliques Sun Jul 26 17:42:56 2026 commencing in-memory singleton removal Sun Jul 26 17:42:58 2026 begin with 184718213 relations and 177679057 unique ideals Sun Jul 26 17:43:03 2026 reduce to 184450478 relations and 171423680 ideals in 7 passes Sun Jul 26 17:43:03 2026 max relations containing the same ideal: 93 Sun Jul 26 17:43:55 2026 removing 8080133 relations and 6080133 ideals in 2000000 cliques Sun Jul 26 17:44:01 2026 commencing in-memory singleton removal Sun Jul 26 17:44:03 2026 begin with 176370345 relations and 171423680 unique ideals Sun Jul 26 17:44:08 2026 reduce to 176085981 relations and 165056422 ideals in 8 passes Sun Jul 26 17:44:08 2026 max relations containing the same ideal: 89 Sun Jul 26 17:44:59 2026 removing 8183743 relations and 6183743 ideals in 2000000 cliques Sun Jul 26 17:45:04 2026 commencing in-memory singleton removal Sun Jul 26 17:45:06 2026 begin with 167902238 relations and 165056422 unique ideals Sun Jul 26 17:45:10 2026 reduce to 167597131 relations and 158564424 ideals in 7 passes Sun Jul 26 17:45:10 2026 max relations containing the same ideal: 88 Sun Jul 26 17:46:05 2026 removing 8298657 relations and 6298657 ideals in 2000000 cliques Sun Jul 26 17:46:10 2026 commencing in-memory singleton removal Sun Jul 26 17:46:12 2026 begin with 159298474 relations and 158564424 unique ideals Sun Jul 26 17:46:16 2026 reduce to 158967270 relations and 151931117 ideals in 7 passes Sun Jul 26 17:46:16 2026 max relations containing the same ideal: 83 Sun Jul 26 17:47:08 2026 removing 8430526 relations and 6430526 ideals in 2000000 cliques Sun Jul 26 17:47:14 2026 commencing in-memory singleton removal Sun Jul 26 17:47:15 2026 begin with 150536744 relations and 151931117 unique ideals Sun Jul 26 17:47:19 2026 reduce to 150175460 relations and 145135487 ideals in 7 passes Sun Jul 26 17:47:19 2026 max relations containing the same ideal: 83 Sun Jul 26 17:48:10 2026 removing 4591437 relations and 3664383 ideals in 927054 cliques Sun Jul 26 17:48:15 2026 commencing in-memory singleton removal Sun Jul 26 17:48:16 2026 begin with 145584023 relations and 145135487 unique ideals Sun Jul 26 17:48:20 2026 reduce to 145481848 relations and 141368447 ideals in 7 passes Sun Jul 26 17:48:20 2026 max relations containing the same ideal: 83 Sun Jul 26 17:49:30 2026 relations with 0 large ideals: 12814 Sun Jul 26 17:49:30 2026 relations with 1 large ideals: 64887 Sun Jul 26 17:49:30 2026 relations with 2 large ideals: 923071 Sun Jul 26 17:49:30 2026 relations with 3 large ideals: 5504053 Sun Jul 26 17:49:30 2026 relations with 4 large ideals: 17626544 Sun Jul 26 17:49:30 2026 relations with 5 large ideals: 33550827 Sun Jul 26 17:49:30 2026 relations with 6 large ideals: 39736459 Sun Jul 26 17:49:30 2026 relations with 7+ large ideals: 48063193 Sun Jul 26 17:49:30 2026 commencing 2-way merge Sun Jul 26 17:50:47 2026 reduce to 89555585 relation sets and 85442184 unique ideals Sun Jul 26 17:50:47 2026 commencing full merge Sun Jul 26 18:12:13 2026 memory use: 10279.8 MB Sun Jul 26 18:12:21 2026 found 42276840 cycles, need 41738384 Sun Jul 26 18:12:35 2026 weight of 41738384 cycles is about 4591266548 (110.00/cycle) Sun Jul 26 18:12:36 2026 distribution of cycle lengths: Sun Jul 26 18:12:36 2026 1 relations: 3572614 Sun Jul 26 18:12:36 2026 2 relations: 3306994 Sun Jul 26 18:12:36 2026 3 relations: 3423572 Sun Jul 26 18:12:36 2026 4 relations: 3438059 Sun Jul 26 18:12:36 2026 5 relations: 3485098 Sun Jul 26 18:12:36 2026 6 relations: 3342009 Sun Jul 26 18:12:36 2026 7 relations: 3267373 Sun Jul 26 18:12:36 2026 8 relations: 3047510 Sun Jul 26 18:12:36 2026 9 relations: 2773671 Sun Jul 26 18:12:36 2026 10+ relations: 12081484 Sun Jul 26 18:12:36 2026 heaviest cycle: 23 relations Sun Jul 26 18:12:48 2026 commencing cycle optimization Sun Jul 26 18:14:00 2026 start with 300130810 relations Sun Jul 26 18:21:24 2026 pruned 10148540 relations Sun Jul 26 18:21:25 2026 memory use: 9023.9 MB Sun Jul 26 18:21:25 2026 distribution of cycle lengths: Sun Jul 26 18:21:25 2026 1 relations: 3572614 Sun Jul 26 18:21:25 2026 2 relations: 3387753 Sun Jul 26 18:21:25 2026 3 relations: 3554678 Sun Jul 26 18:21:25 2026 4 relations: 3555935 Sun Jul 26 18:21:25 2026 5 relations: 3620742 Sun Jul 26 18:21:25 2026 6 relations: 3466816 Sun Jul 26 18:21:25 2026 7 relations: 3391139 Sun Jul 26 18:21:25 2026 8 relations: 3142433 Sun Jul 26 18:21:25 2026 9 relations: 2849229 Sun Jul 26 18:21:25 2026 10+ relations: 11197045 Sun Jul 26 18:21:25 2026 heaviest cycle: 23 relations Sun Jul 26 18:22:46 2026 RelProcTime: 15708 Sun Jul 26 18:22:46 2026 elapsed time 04:21:49 Sun Jul 26 18:22:46 2026 Sun Jul 26 18:22:46 2026 Sun Jul 26 18:22:46 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jul 26 18:22:46 2026 random seeds: 753ba2b1 dde27e61 Sun Jul 26 18:22:46 2026 MPI process 0 of 1 Sun Jul 26 18:22:46 2026 Using 46 OpenMP threads Sun Jul 26 18:22:46 2026 factoring 386945240199006496988612976024497923523120597222776967856413087714764575671807831061432367037909455469953833246615843507361282419687109067891319452724710062926748846404926456550210897528400138501250671 (201 digits) Sun Jul 26 18:22:47 2026 no P-1/P+1/ECM available, skipping Sun Jul 26 18:22:47 2026 commencing number field sieve (201-digit input) Sun Jul 26 18:22:47 2026 R0: -292182402903098906209519787674537540529 Sun Jul 26 18:22:47 2026 R1: 339432930240246486636399138397 Sun Jul 26 18:22:47 2026 A0: 1032907808050152991253757304057234056455484400 Sun Jul 26 18:22:47 2026 A1: -145773650619157532929520171128171508124 Sun Jul 26 18:22:47 2026 A2: -41721863853323698744232900698024 Sun Jul 26 18:22:47 2026 A3: 266831456612795796403729 Sun Jul 26 18:22:47 2026 A4: -14859699434391310 Sun Jul 26 18:22:47 2026 A5: 198678480 Sun Jul 26 18:22:47 2026 skew 28365420.68, size 1.049e-19, alpha -6.717, combined = 4.245e-15 rroots = 3 Sun Jul 26 18:22:47 2026 Sun Jul 26 18:22:47 2026 commencing linear algebra Sun Jul 26 18:22:47 2026 using VBITS=128 Sun Jul 26 18:22:47 2026 stopping after matrix build Sun Jul 26 18:22:47 2026 initialized process (0,0) of 1 x 1 grid Sun Jul 26 18:22:53 2026 read 41738384 cycles Sun Jul 26 18:24:20 2026 cycles contain 143289727 unique relations Sun Jul 26 18:26:00 2026 read 143289727 relations Sun Jul 26 18:26:12 2026 using 20 quadratic characters above 4294917295 Sun Jul 26 18:26:30 2026 building initial matrix Sun Jul 26 18:59:08 2026 memory use: 20721.5 MB Sun Jul 26 18:59:50 2026 read 41738384 cycles Sun Jul 26 18:59:55 2026 matrix is 41738203 x 41738384 (18356.3 MB) with weight 5605388349 (134.30/col) Sun Jul 26 18:59:55 2026 sparse part has weight 4352875964 (104.29/col) Sun Jul 26 19:09:20 2026 filtering completed in 2 passes Sun Jul 26 19:09:28 2026 matrix is 41733071 x 41733251 (18355.9 MB) with weight 5605176092 (134.31/col) Sun Jul 26 19:09:28 2026 sparse part has weight 4352818011 (104.30/col) Sun Jul 26 19:11:06 2026 BLanczosTime: 2899 Sun Jul 26 19:11:06 2026 elapsed time 00:48:20 Sun Jul 26 21:31:01 2026 Sun Jul 26 21:31:01 2026 Sun Jul 26 21:31:01 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jul 26 21:31:01 2026 random seeds: d43bf5f7 315fc8af Sun Jul 26 21:31:01 2026 MPI process 0 of 2 Sun Jul 26 21:31:01 2026 Using 15 OpenMP threads Sun Jul 26 21:31:01 2026 factoring 386945240199006496988612976024497923523120597222776967856413087714764575671807831061432367037909455469953833246615843507361282419687109067891319452724710062926748846404926456550210897528400138501250671 (201 digits) Sun Jul 26 21:31:01 2026 no P-1/P+1/ECM available, skipping Sun Jul 26 21:31:01 2026 commencing number field sieve (201-digit input) Sun Jul 26 21:31:01 2026 R0: -292182402903098906209519787674537540529 Sun Jul 26 21:31:01 2026 R1: 339432930240246486636399138397 Sun Jul 26 21:31:01 2026 A0: 1032907808050152991253757304057234056455484400 Sun Jul 26 21:31:01 2026 A1: -145773650619157532929520171128171508124 Sun Jul 26 21:31:01 2026 A2: -41721863853323698744232900698024 Sun Jul 26 21:31:01 2026 A3: 266831456612795796403729 Sun Jul 26 21:31:01 2026 A4: -14859699434391310 Sun Jul 26 21:31:01 2026 A5: 198678480 Sun Jul 26 21:31:01 2026 skew 28365420.68, size 1.049e-19, alpha -6.717, combined = 4.245e-15 rroots = 3 Sun Jul 26 21:31:01 2026 Sun Jul 26 21:31:01 2026 commencing linear algebra Sun Jul 26 21:31:01 2026 using VBITS=256 Sun Jul 26 21:31:01 2026 skipping matrix build Sun Jul 26 21:31:01 2026 initialized process (0,0) of 1 x 2 grid Sun Jul 26 21:31:09 2026 matrix starts at (0, 0) Sun Jul 26 21:31:11 2026 matrix is 41733071 x 20866626 (9177.9 MB) with weight 2802607959 (134.31/col) Sun Jul 26 21:31:11 2026 sparse part has weight 2176409106 (104.30/col) Sun Jul 26 21:31:11 2026 saving the first 240 matrix rows for later Sun Jul 26 21:31:15 2026 matrix includes 256 packed rows Sun Jul 26 21:31:18 2026 matrix is 41732831 x 20866626 (8508.4 MB) with weight 2007158302 (96.19/col) Sun Jul 26 21:31:18 2026 sparse part has weight 1896549990 (90.89/col) Sun Jul 26 21:31:18 2026 using GPU 0 (NVIDIA H200) Sun Jul 26 21:31:18 2026 selected card has CUDA arch 9.0 Sun Jul 26 21:33:35 2026 commencing Lanczos iteration Sun Jul 26 21:33:37 2026 memory use: 21951.9 MB Sun Jul 26 21:33:55 2026 linear algebra at 0.1%, ETA 6h25m Sun Jul 26 21:34:22 2026 checking every 100000 dimensions, checkpointing every 6300000 dimensions Mon Jul 27 04:08:27 2026 lanczos halted after 163507 iterations (dim = 41732830) Mon Jul 27 04:10:40 2026 recovered 30 nontrivial dependencies Mon Jul 27 04:10:41 2026 BLanczosTime: 23980 Mon Jul 27 04:10:41 2026 elapsed time 06:39:40 Mon Jul 27 05:45:00 2026 Mon Jul 27 05:45:00 2026 Mon Jul 27 05:45:00 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Jul 27 05:45:00 2026 random seeds: 7b28b699 30dcd391 Mon Jul 27 05:45:00 2026 MPI process 0 of 1 Mon Jul 27 05:45:00 2026 Using 32 OpenMP threads Mon Jul 27 05:45:00 2026 factoring 386945240199006496988612976024497923523120597222776967856413087714764575671807831061432367037909455469953833246615843507361282419687109067891319452724710062926748846404926456550210897528400138501250671 (201 digits) Mon Jul 27 05:45:01 2026 no P-1/P+1/ECM available, skipping Mon Jul 27 05:45:01 2026 commencing number field sieve (201-digit input) Mon Jul 27 05:45:01 2026 R0: -292182402903098906209519787674537540529 Mon Jul 27 05:45:01 2026 R1: 339432930240246486636399138397 Mon Jul 27 05:45:01 2026 A0: 1032907808050152991253757304057234056455484400 Mon Jul 27 05:45:01 2026 A1: -145773650619157532929520171128171508124 Mon Jul 27 05:45:01 2026 A2: -41721863853323698744232900698024 Mon Jul 27 05:45:01 2026 A3: 266831456612795796403729 Mon Jul 27 05:45:01 2026 A4: -14859699434391310 Mon Jul 27 05:45:01 2026 A5: 198678480 Mon Jul 27 05:45:01 2026 skew 28365420.68, size 1.049e-19, alpha -6.717, combined = 4.245e-15 rroots = 3 Mon Jul 27 05:45:01 2026 Mon Jul 27 05:45:01 2026 commencing square root phase Mon Jul 27 05:45:01 2026 reading relations for dependency 1 Mon Jul 27 05:45:07 2026 read 20866896 cycles Mon Jul 27 05:45:45 2026 cycles contain 71643346 unique relations Mon Jul 27 05:48:24 2026 read 71643346 relations Mon Jul 27 05:54:00 2026 multiplying 71643346 relations Mon Jul 27 06:03:40 2026 multiply complete, coefficients have about 4894.52 million bits Mon Jul 27 06:03:55 2026 initial square root is modulo 308293 Mon Jul 27 06:37:03 2026 sqrtTime: 3122 Mon Jul 27 06:37:03 2026 p68 factor: 37976042457053067913746243648667008247593900514602370491589063277771 Mon Jul 27 06:37:03 2026 p134 factor: 10189193374654588952063931727241250867001288555421212472524301614867720180994917371623577486600076862608599315065296157803914313249901 Mon Jul 27 06:37:03 2026 elapsed time 00:52:03