Mon Sep 28 19:01:41 2026 Mon Sep 28 19:01:41 2026 Mon Sep 28 19:01:41 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Sep 28 19:01:41 2026 random seeds: dff08674 038c7782 Mon Sep 28 19:01:41 2026 MPI process 0 of 1 Mon Sep 28 19:01:41 2026 Using 46 OpenMP threads Mon Sep 28 19:01:41 2026 factoring 5881594814737296250958908214574605629167219811763442311496864777633452715501503351927337093627346740274470627519439848650511527760143138603174705357858550281880724067365009069528874638352953070243692630998702834973888209796737406057 (232 digits) Mon Sep 28 19:01:42 2026 no P-1/P+1/ECM available, skipping Mon Sep 28 19:01:42 2026 commencing number field sieve (232-digit input) Mon Sep 28 19:01:42 2026 R0: -139708234283055276457744135264099 Mon Sep 28 19:01:42 2026 R1: 528568721062043270362042150304060243886211072 Mon Sep 28 19:01:42 2026 A0: 1700248 Mon Sep 28 19:01:42 2026 A1: 0 Mon Sep 28 19:01:42 2026 A2: 0 Mon Sep 28 19:01:42 2026 A3: 0 Mon Sep 28 19:01:42 2026 A4: 0 Mon Sep 28 19:01:42 2026 A5: 0 Mon Sep 28 19:01:42 2026 A6: 1 Mon Sep 28 19:01:42 2026 skew 8.07, size 3.793e-14, alpha 1.639, combined = 1.074e-14 rroots = 0 Mon Sep 28 19:01:42 2026 Mon Sep 28 19:01:42 2026 commencing relation filtering Mon Sep 28 19:01:42 2026 setting target matrix density to 110.0 Mon Sep 28 19:01:42 2026 estimated available RAM is 192068.7 MB Mon Sep 28 19:20:41 2026 staged savefile to /scratch/gchilders/msieve.dat (156642.4 MB in 1139 sec) Mon Sep 28 19:20:42 2026 commencing duplicate removal, pass 1 Mon Sep 28 19:29:38 2026 found 259890076 hash collisions in 1200268473 relations Mon Sep 28 19:29:38 2026 cached 1200268473 relation coordinates for pass 2 (19338.6 MB) Mon Sep 28 19:29:53 2026 added 1219250 free relations Mon Sep 28 19:29:53 2026 commencing duplicate removal, pass 2 Mon Sep 28 19:34:58 2026 found 263759465 duplicates and 937728258 unique relations Mon Sep 28 19:34:58 2026 memory use: 12008.0 MB Mon Sep 28 19:35:00 2026 reading ideals above 629997568 Mon Sep 28 19:35:00 2026 commencing singleton removal, initial pass Mon Sep 28 19:44:31 2026 LP64 contains 937728258 relations and 813464773 unique large ideals Mon Sep 28 19:44:31 2026 memory use: 23712.0 MB Mon Sep 28 19:44:33 2026 preparing 64-bit LP file for common filtering Mon Sep 28 19:44:33 2026 start with 937728258 relations and 813464773 ideals Mon Sep 28 19:45:57 2026 compacted LP dataset has 937728258 relations and 813464773 large ideals Mon Sep 28 19:45:57 2026 reading all ideals from disk Mon Sep 28 19:46:06 2026 memory use: 23645.5 MB Mon Sep 28 19:46:18 2026 commencing in-memory singleton removal Mon Sep 28 19:46:26 2026 begin with 937728258 relations and 813464773 unique ideals Mon Sep 28 19:46:26 2026 memory use: 6222.2 MB Mon Sep 28 19:46:50 2026 reduce to 552533795 relations and 385078629 ideals in 4 passes Mon Sep 28 19:46:50 2026 max relations containing the same ideal: 34 Mon Sep 28 19:47:09 2026 reading ideals above 720000 Mon Sep 28 19:47:10 2026 commencing singleton removal, initial pass Mon Sep 28 19:54:52 2026 LP64 contains 552533795 relations and 450571206 unique large ideals Mon Sep 28 19:54:52 2026 memory use: 16792.0 MB Mon Sep 28 19:54:55 2026 preparing 64-bit LP file for common filtering Mon Sep 28 19:54:55 2026 start with 552533795 relations and 450571206 ideals Mon Sep 28 19:56:44 2026 compacted LP dataset has 552533795 relations and 450571206 large ideals Mon Sep 28 19:56:44 2026 reading all ideals from disk Mon Sep 28 19:56:58 2026 memory use: 28400.8 MB Mon Sep 28 19:57:12 2026 keeping 447838777 ideals with weight <= 200, target excess is 2848521 Mon Sep 28 19:58:37 2026 commencing in-memory singleton removal Mon Sep 28 19:58:47 2026 begin with 552533795 relations and 447838777 unique ideals Mon Sep 28 19:58:47 2026 memory use: 3432.7 MB Mon Sep 28 19:58:54 2026 reduce to 552525410 relations and 447830392 ideals in 1 passes Mon Sep 28 19:58:54 2026 max relations containing the same ideal: 200 Mon Sep 28 20:02:03 2026 removing 16019236 relations and 14019236 ideals in 2000000 cliques Mon Sep 28 20:02:10 2026 commencing in-memory singleton removal Mon Sep 28 20:02:24 2026 begin with 536506174 relations and 447830392 unique ideals Mon Sep 28 20:02:24 2026 memory use: 3432.7 MB Mon Sep 28 20:02:32 2026 reduce to 536182669 relations and 433485971 ideals in 1 passes Mon Sep 28 20:02:32 2026 max relations containing the same ideal: 200 Mon Sep 28 20:05:36 2026 removing 12089273 relations and 10089273 ideals in 2000000 cliques Mon Sep 28 20:05:47 2026 commencing in-memory singleton removal Mon Sep 28 20:05:59 2026 begin with 524093396 relations and 433485971 unique ideals Mon Sep 28 20:05:59 2026 memory use: 3323.2 MB Mon Sep 28 20:06:07 2026 reduce to 523889163 relations and 423191604 ideals in 1 passes Mon Sep 28 20:06:07 2026 max relations containing the same ideal: 200 Mon Sep 28 20:09:08 2026 removing 10825598 relations and 8825598 ideals in 2000000 cliques Mon Sep 28 20:09:16 2026 commencing in-memory singleton removal Mon Sep 28 20:09:27 2026 begin with 513063565 relations and 423191604 unique ideals Mon Sep 28 20:09:27 2026 memory use: 3244.7 MB Mon Sep 28 20:09:37 2026 reduce to 512892523 relations and 414194276 ideals in 1 passes Mon Sep 28 20:09:37 2026 max relations containing the same ideal: 199 Mon Sep 28 20:12:41 2026 removing 10089365 relations and 8089365 ideals in 2000000 cliques Mon Sep 28 20:12:49 2026 commencing in-memory singleton removal Mon Sep 28 20:13:01 2026 begin with 502803158 relations and 414194276 unique ideals Mon Sep 28 20:13:01 2026 memory use: 3176.1 MB Mon Sep 28 20:13:10 2026 reduce to 502648934 relations and 405950034 ideals in 1 passes Mon Sep 28 20:13:10 2026 max relations containing the same ideal: 197 Mon Sep 28 20:16:04 2026 removing 9589237 relations and 7589237 ideals in 2000000 cliques Mon Sep 28 20:16:11 2026 commencing in-memory singleton removal Mon Sep 28 20:16:23 2026 begin with 493059697 relations and 405950034 unique ideals Mon Sep 28 20:16:23 2026 memory use: 3113.2 MB Mon Sep 28 20:16:30 2026 reduce to 492916285 relations and 398216836 ideals in 1 passes Mon Sep 28 20:16:30 2026 max relations containing the same ideal: 196 Mon Sep 28 20:19:25 2026 removing 9214103 relations and 7214103 ideals in 2000000 cliques Mon Sep 28 20:19:35 2026 commencing in-memory singleton removal Mon Sep 28 20:19:47 2026 begin with 483702182 relations and 398216836 unique ideals Mon Sep 28 20:19:47 2026 memory use: 3054.2 MB Mon Sep 28 20:19:53 2026 reduce to 483564648 relations and 390864618 ideals in 1 passes Mon Sep 28 20:19:53 2026 max relations containing the same ideal: 194 Mon Sep 28 20:22:31 2026 removing 8924306 relations and 6924306 ideals in 2000000 cliques Mon Sep 28 20:22:38 2026 commencing in-memory singleton removal Mon Sep 28 20:22:50 2026 begin with 474640342 relations and 390864618 unique ideals Mon Sep 28 20:22:50 2026 memory use: 2998.1 MB Mon Sep 28 20:22:56 2026 reduce to 474509296 relations and 383808747 ideals in 1 passes Mon Sep 28 20:22:56 2026 max relations containing the same ideal: 193 Mon Sep 28 20:25:28 2026 removing 8692176 relations and 6692176 ideals in 2000000 cliques Mon Sep 28 20:25:35 2026 commencing in-memory singleton removal Mon Sep 28 20:25:46 2026 begin with 465817120 relations and 383808747 unique ideals Mon Sep 28 20:25:46 2026 memory use: 2944.2 MB Mon Sep 28 20:25:53 2026 reduce to 465688916 relations and 376987852 ideals in 1 passes Mon Sep 28 20:25:53 2026 max relations containing the same ideal: 190 Mon Sep 28 20:28:22 2026 removing 8496191 relations and 6496191 ideals in 2000000 cliques Mon Sep 28 20:28:27 2026 commencing in-memory singleton removal Mon Sep 28 20:28:38 2026 begin with 457192725 relations and 376987852 unique ideals Mon Sep 28 20:28:38 2026 memory use: 2892.2 MB Mon Sep 28 20:28:44 2026 reduce to 457068097 relations and 370366505 ideals in 1 passes Mon Sep 28 20:28:44 2026 max relations containing the same ideal: 187 Mon Sep 28 20:31:14 2026 removing 8334085 relations and 6334085 ideals in 2000000 cliques Mon Sep 28 20:31:19 2026 commencing in-memory singleton removal Mon Sep 28 20:31:30 2026 begin with 448734012 relations and 370366505 unique ideals Mon Sep 28 20:31:30 2026 memory use: 2841.7 MB Mon Sep 28 20:31:36 2026 reduce to 448610683 relations and 363908569 ideals in 1 passes Mon Sep 28 20:31:36 2026 max relations containing the same ideal: 184 Mon Sep 28 20:34:01 2026 removing 8193564 relations and 6193564 ideals in 2000000 cliques Mon Sep 28 20:34:06 2026 commencing in-memory singleton removal Mon Sep 28 20:34:16 2026 begin with 440417119 relations and 363908569 unique ideals Mon Sep 28 20:34:16 2026 memory use: 2792.4 MB Mon Sep 28 20:34:22 2026 reduce to 440295311 relations and 357592664 ideals in 1 passes Mon Sep 28 20:34:22 2026 max relations containing the same ideal: 183 Mon Sep 28 20:37:17 2026 removing 8072792 relations and 6072792 ideals in 2000000 cliques Mon Sep 28 20:37:22 2026 commencing in-memory singleton removal Mon Sep 28 20:37:32 2026 begin with 432222519 relations and 357592664 unique ideals Mon Sep 28 20:37:32 2026 memory use: 2744.2 MB Mon Sep 28 20:37:38 2026 reduce to 432102115 relations and 351398946 ideals in 1 passes Mon Sep 28 20:37:38 2026 max relations containing the same ideal: 183 Mon Sep 28 20:40:05 2026 removing 7973666 relations and 5973666 ideals in 2000000 cliques Mon Sep 28 20:40:09 2026 commencing in-memory singleton removal Mon Sep 28 20:40:20 2026 begin with 424128449 relations and 351398946 unique ideals Mon Sep 28 20:40:20 2026 memory use: 2697.0 MB Mon Sep 28 20:40:26 2026 reduce to 424008786 relations and 345305056 ideals in 1 passes Mon Sep 28 20:40:26 2026 max relations containing the same ideal: 182 Mon Sep 28 20:43:00 2026 removing 7888206 relations and 5888206 ideals in 2000000 cliques Mon Sep 28 20:43:06 2026 commencing in-memory singleton removal Mon Sep 28 20:43:16 2026 begin with 416120580 relations and 345305056 unique ideals Mon Sep 28 20:43:16 2026 memory use: 2650.5 MB Mon Sep 28 20:43:22 2026 reduce to 416000395 relations and 339296047 ideals in 1 passes Mon Sep 28 20:43:22 2026 max relations containing the same ideal: 179 Mon Sep 28 20:45:32 2026 removing 7806393 relations and 5806393 ideals in 2000000 cliques Mon Sep 28 20:45:39 2026 commencing in-memory singleton removal Mon Sep 28 20:45:50 2026 begin with 408194002 relations and 339296047 unique ideals Mon Sep 28 20:45:50 2026 memory use: 2604.6 MB Mon Sep 28 20:45:55 2026 reduce to 408074770 relations and 333369876 ideals in 1 passes Mon Sep 28 20:45:55 2026 max relations containing the same ideal: 177 Mon Sep 28 20:47:58 2026 removing 7737505 relations and 5737505 ideals in 2000000 cliques Mon Sep 28 20:48:04 2026 commencing in-memory singleton removal Mon Sep 28 20:48:14 2026 begin with 400337265 relations and 333369876 unique ideals Mon Sep 28 20:48:14 2026 memory use: 2559.4 MB Mon Sep 28 20:48:20 2026 reduce to 400217674 relations and 327512228 ideals in 1 passes Mon Sep 28 20:48:20 2026 max relations containing the same ideal: 175 Mon Sep 28 20:50:18 2026 removing 7677628 relations and 5677628 ideals in 2000000 cliques Mon Sep 28 20:50:23 2026 commencing in-memory singleton removal Mon Sep 28 20:50:33 2026 begin with 392540046 relations and 327512228 unique ideals Mon Sep 28 20:50:33 2026 memory use: 2514.7 MB Mon Sep 28 20:50:38 2026 reduce to 392419638 relations and 321713617 ideals in 1 passes Mon Sep 28 20:50:38 2026 max relations containing the same ideal: 172 Mon Sep 28 20:52:37 2026 removing 7622840 relations and 5622840 ideals in 2000000 cliques Mon Sep 28 20:52:41 2026 commencing in-memory singleton removal Mon Sep 28 20:52:52 2026 begin with 384796798 relations and 321713617 unique ideals Mon Sep 28 20:52:52 2026 memory use: 2470.5 MB Mon Sep 28 20:52:57 2026 reduce to 384676200 relations and 315969557 ideals in 1 passes Mon Sep 28 20:52:57 2026 max relations containing the same ideal: 170 Mon Sep 28 20:54:53 2026 removing 7579928 relations and 5579928 ideals in 2000000 cliques Mon Sep 28 20:54:58 2026 commencing in-memory singleton removal Mon Sep 28 20:55:08 2026 begin with 377096272 relations and 315969557 unique ideals Mon Sep 28 20:55:08 2026 memory use: 2426.7 MB Mon Sep 28 20:55:13 2026 reduce to 376974954 relations and 310267673 ideals in 1 passes Mon Sep 28 20:55:13 2026 max relations containing the same ideal: 168 Mon Sep 28 20:57:24 2026 removing 7534820 relations and 5534820 ideals in 2000000 cliques Mon Sep 28 20:57:30 2026 commencing in-memory singleton removal Mon Sep 28 20:57:39 2026 begin with 369440134 relations and 310267673 unique ideals Mon Sep 28 20:57:39 2026 memory use: 2383.2 MB Mon Sep 28 20:57:44 2026 reduce to 369316887 relations and 304608909 ideals in 1 passes Mon Sep 28 20:57:44 2026 max relations containing the same ideal: 167 Mon Sep 28 20:59:35 2026 removing 7497817 relations and 5497817 ideals in 2000000 cliques Mon Sep 28 20:59:41 2026 commencing in-memory singleton removal Mon Sep 28 20:59:50 2026 begin with 361819070 relations and 304608909 unique ideals Mon Sep 28 20:59:50 2026 memory use: 2340.0 MB Mon Sep 28 20:59:55 2026 reduce to 361695595 relations and 298986913 ideals in 1 passes Mon Sep 28 20:59:55 2026 max relations containing the same ideal: 166 Mon Sep 28 21:01:45 2026 removing 7459688 relations and 5459688 ideals in 2000000 cliques Mon Sep 28 21:01:49 2026 commencing in-memory singleton removal Mon Sep 28 21:01:58 2026 begin with 354235907 relations and 298986913 unique ideals Mon Sep 28 21:01:58 2026 memory use: 2297.1 MB Mon Sep 28 21:02:02 2026 reduce to 354110039 relations and 293400632 ideals in 1 passes Mon Sep 28 21:02:02 2026 max relations containing the same ideal: 166 Mon Sep 28 21:03:44 2026 removing 7439634 relations and 5439634 ideals in 2000000 cliques Mon Sep 28 21:03:49 2026 commencing in-memory singleton removal Mon Sep 28 21:03:58 2026 begin with 346670405 relations and 293400632 unique ideals Mon Sep 28 21:03:58 2026 memory use: 2254.5 MB Mon Sep 28 21:04:02 2026 reduce to 346544517 relations and 287834303 ideals in 1 passes Mon Sep 28 21:04:02 2026 max relations containing the same ideal: 164 Mon Sep 28 21:05:43 2026 removing 7410869 relations and 5410869 ideals in 2000000 cliques Mon Sep 28 21:05:48 2026 commencing in-memory singleton removal Mon Sep 28 21:05:57 2026 begin with 339133648 relations and 287834303 unique ideals Mon Sep 28 21:05:57 2026 memory use: 2212.0 MB Mon Sep 28 21:06:01 2026 reduce to 339005453 relations and 282294493 ideals in 1 passes Mon Sep 28 21:06:01 2026 max relations containing the same ideal: 164 Mon Sep 28 21:07:50 2026 removing 7388732 relations and 5388732 ideals in 2000000 cliques Mon Sep 28 21:07:55 2026 commencing in-memory singleton removal Mon Sep 28 21:08:04 2026 begin with 331616721 relations and 282294493 unique ideals Mon Sep 28 21:08:04 2026 memory use: 2169.7 MB Mon Sep 28 21:08:08 2026 reduce to 331485866 relations and 276774083 ideals in 1 passes Mon Sep 28 21:08:08 2026 max relations containing the same ideal: 161 Mon Sep 28 21:09:51 2026 removing 7371557 relations and 5371557 ideals in 2000000 cliques Mon Sep 28 21:09:56 2026 commencing in-memory singleton removal Mon Sep 28 21:10:04 2026 begin with 324114309 relations and 276774083 unique ideals Mon Sep 28 21:10:04 2026 memory use: 2127.6 MB Mon Sep 28 21:10:09 2026 reduce to 323982728 relations and 271270058 ideals in 1 passes Mon Sep 28 21:10:09 2026 max relations containing the same ideal: 159 Mon Sep 28 21:11:43 2026 removing 7354849 relations and 5354849 ideals in 2000000 cliques Mon Sep 28 21:11:47 2026 commencing in-memory singleton removal Mon Sep 28 21:11:55 2026 begin with 316627879 relations and 271270058 unique ideals Mon Sep 28 21:11:55 2026 memory use: 2085.6 MB Mon Sep 28 21:11:59 2026 reduce to 316493523 relations and 265779909 ideals in 1 passes Mon Sep 28 21:11:59 2026 max relations containing the same ideal: 156 Mon Sep 28 21:13:32 2026 removing 7345064 relations and 5345064 ideals in 2000000 cliques Mon Sep 28 21:13:36 2026 commencing in-memory singleton removal Mon Sep 28 21:13:44 2026 begin with 309148459 relations and 265779909 unique ideals Mon Sep 28 21:13:44 2026 memory use: 2043.7 MB Mon Sep 28 21:13:48 2026 reduce to 309012204 relations and 260297669 ideals in 1 passes Mon Sep 28 21:13:48 2026 max relations containing the same ideal: 150 Mon Sep 28 21:15:29 2026 removing 7333353 relations and 5333353 ideals in 2000000 cliques Mon Sep 28 21:15:33 2026 commencing in-memory singleton removal Mon Sep 28 21:15:41 2026 begin with 301678851 relations and 260297669 unique ideals Mon Sep 28 21:15:41 2026 memory use: 2001.9 MB Mon Sep 28 21:15:45 2026 reduce to 301539171 relations and 254823673 ideals in 1 passes Mon Sep 28 21:15:45 2026 max relations containing the same ideal: 148 Mon Sep 28 21:17:14 2026 removing 7325450 relations and 5325450 ideals in 2000000 cliques Mon Sep 28 21:17:19 2026 commencing in-memory singleton removal Mon Sep 28 21:17:26 2026 begin with 294213721 relations and 254823673 unique ideals Mon Sep 28 21:17:26 2026 memory use: 1960.2 MB Mon Sep 28 21:17:30 2026 reduce to 294072020 relations and 249355486 ideals in 1 passes Mon Sep 28 21:17:30 2026 max relations containing the same ideal: 145 Mon Sep 28 21:18:55 2026 removing 7320621 relations and 5320621 ideals in 2000000 cliques Mon Sep 28 21:18:59 2026 commencing in-memory singleton removal Mon Sep 28 21:19:06 2026 begin with 286751399 relations and 249355486 unique ideals Mon Sep 28 21:19:06 2026 memory use: 1918.4 MB Mon Sep 28 21:19:10 2026 reduce to 286607127 relations and 243889523 ideals in 1 passes Mon Sep 28 21:19:10 2026 max relations containing the same ideal: 143 Mon Sep 28 21:20:34 2026 removing 7320189 relations and 5320189 ideals in 2000000 cliques Mon Sep 28 21:20:37 2026 commencing in-memory singleton removal Mon Sep 28 21:20:44 2026 begin with 279286938 relations and 243889523 unique ideals Mon Sep 28 21:20:44 2026 memory use: 1876.7 MB Mon Sep 28 21:20:47 2026 reduce to 279139455 relations and 238420706 ideals in 1 passes Mon Sep 28 21:20:47 2026 max relations containing the same ideal: 140 Mon Sep 28 21:22:08 2026 removing 7320066 relations and 5320066 ideals in 2000000 cliques Mon Sep 28 21:22:11 2026 commencing in-memory singleton removal Mon Sep 28 21:22:18 2026 begin with 271819389 relations and 238420706 unique ideals Mon Sep 28 21:22:18 2026 memory use: 1835.0 MB Mon Sep 28 21:22:22 2026 reduce to 271668858 relations and 232948868 ideals in 1 passes Mon Sep 28 21:22:22 2026 max relations containing the same ideal: 135 Mon Sep 28 21:23:51 2026 removing 7319434 relations and 5319434 ideals in 2000000 cliques Mon Sep 28 21:23:55 2026 commencing in-memory singleton removal Mon Sep 28 21:24:02 2026 begin with 264349424 relations and 232948868 unique ideals Mon Sep 28 21:24:02 2026 memory use: 1793.3 MB Mon Sep 28 21:24:05 2026 reduce to 264195718 relations and 227474509 ideals in 1 passes Mon Sep 28 21:24:05 2026 max relations containing the same ideal: 133 Mon Sep 28 21:25:26 2026 removing 7323894 relations and 5323894 ideals in 2000000 cliques Mon Sep 28 21:25:29 2026 commencing in-memory singleton removal Mon Sep 28 21:25:36 2026 begin with 256871824 relations and 227474509 unique ideals Mon Sep 28 21:25:36 2026 memory use: 1751.5 MB Mon Sep 28 21:25:39 2026 reduce to 256713553 relations and 221991071 ideals in 1 passes Mon Sep 28 21:25:39 2026 max relations containing the same ideal: 132 Mon Sep 28 21:26:53 2026 removing 7329836 relations and 5329836 ideals in 2000000 cliques Mon Sep 28 21:26:56 2026 commencing in-memory singleton removal Mon Sep 28 21:27:02 2026 begin with 249383717 relations and 221991071 unique ideals Mon Sep 28 21:27:02 2026 memory use: 1709.7 MB Mon Sep 28 21:27:05 2026 reduce to 249223044 relations and 216499180 ideals in 1 passes Mon Sep 28 21:27:05 2026 max relations containing the same ideal: 130 Mon Sep 28 21:28:33 2026 removing 7336006 relations and 5336006 ideals in 2000000 cliques Mon Sep 28 21:28:36 2026 commencing in-memory singleton removal Mon Sep 28 21:28:42 2026 begin with 241887038 relations and 216499180 unique ideals Mon Sep 28 21:28:42 2026 memory use: 1667.8 MB Mon Sep 28 21:28:45 2026 reduce to 241720232 relations and 210994945 ideals in 1 passes Mon Sep 28 21:28:45 2026 max relations containing the same ideal: 127 Mon Sep 28 21:30:14 2026 removing 7347365 relations and 5347365 ideals in 2000000 cliques Mon Sep 28 21:30:16 2026 commencing in-memory singleton removal Mon Sep 28 21:30:22 2026 begin with 234372867 relations and 210994945 unique ideals Mon Sep 28 21:30:22 2026 memory use: 1625.8 MB Mon Sep 28 21:30:25 2026 reduce to 234201314 relations and 205474551 ideals in 1 passes Mon Sep 28 21:30:25 2026 max relations containing the same ideal: 125 Mon Sep 28 21:31:45 2026 removing 7361310 relations and 5361310 ideals in 2000000 cliques Mon Sep 28 21:31:48 2026 commencing in-memory singleton removal Mon Sep 28 21:31:53 2026 begin with 226840004 relations and 205474551 unique ideals Mon Sep 28 21:31:53 2026 memory use: 1583.6 MB Mon Sep 28 21:31:56 2026 reduce to 226664189 relations and 199935809 ideals in 1 passes Mon Sep 28 21:31:56 2026 max relations containing the same ideal: 123 Mon Sep 28 21:33:09 2026 removing 7378155 relations and 5378155 ideals in 2000000 cliques Mon Sep 28 21:33:13 2026 commencing in-memory singleton removal Mon Sep 28 21:33:19 2026 begin with 219286034 relations and 199935809 unique ideals Mon Sep 28 21:33:19 2026 memory use: 1541.4 MB Mon Sep 28 21:33:21 2026 reduce to 219105490 relations and 194375523 ideals in 1 passes Mon Sep 28 21:33:21 2026 max relations containing the same ideal: 119 Mon Sep 28 21:34:39 2026 removing 7390824 relations and 5390824 ideals in 2000000 cliques Mon Sep 28 21:34:42 2026 commencing in-memory singleton removal Mon Sep 28 21:34:47 2026 begin with 211714666 relations and 194375523 unique ideals Mon Sep 28 21:34:47 2026 memory use: 1499.0 MB Mon Sep 28 21:34:50 2026 reduce to 211527543 relations and 188795799 ideals in 1 passes Mon Sep 28 21:34:50 2026 max relations containing the same ideal: 117 Mon Sep 28 21:36:02 2026 removing 7414969 relations and 5414969 ideals in 2000000 cliques Mon Sep 28 21:36:05 2026 commencing in-memory singleton removal Mon Sep 28 21:36:10 2026 begin with 204112574 relations and 188795799 unique ideals Mon Sep 28 21:36:10 2026 memory use: 1456.4 MB Mon Sep 28 21:36:12 2026 reduce to 203917758 relations and 183184232 ideals in 1 passes Mon Sep 28 21:36:12 2026 max relations containing the same ideal: 114 Mon Sep 28 21:37:22 2026 removing 7441072 relations and 5441072 ideals in 2000000 cliques Mon Sep 28 21:37:24 2026 commencing in-memory singleton removal Mon Sep 28 21:37:29 2026 begin with 196476686 relations and 183184232 unique ideals Mon Sep 28 21:37:29 2026 memory use: 1413.6 MB Mon Sep 28 21:37:31 2026 reduce to 196276393 relations and 177540872 ideals in 1 passes Mon Sep 28 21:37:31 2026 max relations containing the same ideal: 111 Mon Sep 28 21:38:37 2026 removing 7468231 relations and 5468231 ideals in 2000000 cliques Mon Sep 28 21:38:39 2026 commencing in-memory singleton removal Mon Sep 28 21:38:44 2026 begin with 188808162 relations and 177540872 unique ideals Mon Sep 28 21:38:44 2026 memory use: 1370.5 MB Mon Sep 28 21:38:46 2026 reduce to 188599272 relations and 171861669 ideals in 1 passes Mon Sep 28 21:38:46 2026 max relations containing the same ideal: 110 Mon Sep 28 21:39:49 2026 removing 7501979 relations and 5501979 ideals in 2000000 cliques Mon Sep 28 21:39:51 2026 commencing in-memory singleton removal Mon Sep 28 21:39:55 2026 begin with 181097293 relations and 171861669 unique ideals Mon Sep 28 21:39:55 2026 memory use: 1327.2 MB Mon Sep 28 21:39:57 2026 reduce to 180877455 relations and 166137629 ideals in 1 passes Mon Sep 28 21:39:57 2026 max relations containing the same ideal: 109 Mon Sep 28 21:40:59 2026 removing 7536821 relations and 5536821 ideals in 2000000 cliques Mon Sep 28 21:41:01 2026 commencing in-memory singleton removal Mon Sep 28 21:41:05 2026 begin with 173340634 relations and 166137629 unique ideals Mon Sep 28 21:41:05 2026 memory use: 1283.5 MB Mon Sep 28 21:41:07 2026 reduce to 173111087 relations and 160368809 ideals in 1 passes Mon Sep 28 21:41:07 2026 max relations containing the same ideal: 102 Mon Sep 28 21:42:06 2026 removing 7576336 relations and 5576336 ideals in 2000000 cliques Mon Sep 28 21:42:07 2026 commencing in-memory singleton removal Mon Sep 28 21:42:11 2026 begin with 165534751 relations and 160368809 unique ideals Mon Sep 28 21:42:11 2026 memory use: 1239.5 MB Mon Sep 28 21:42:13 2026 reduce to 165291859 relations and 154547015 ideals in 1 passes Mon Sep 28 21:42:13 2026 max relations containing the same ideal: 101 Mon Sep 28 21:43:10 2026 removing 7628097 relations and 5628097 ideals in 2000000 cliques Mon Sep 28 21:43:11 2026 commencing in-memory singleton removal Mon Sep 28 21:43:15 2026 begin with 157663762 relations and 154547015 unique ideals Mon Sep 28 21:43:15 2026 memory use: 1195.1 MB Mon Sep 28 21:43:17 2026 reduce to 157405831 relations and 148658238 ideals in 1 passes Mon Sep 28 21:43:17 2026 max relations containing the same ideal: 96 Mon Sep 28 21:44:10 2026 removing 7679270 relations and 5679270 ideals in 2000000 cliques Mon Sep 28 21:44:12 2026 commencing in-memory singleton removal Mon Sep 28 21:44:16 2026 begin with 149726561 relations and 148658238 unique ideals Mon Sep 28 21:44:16 2026 memory use: 1150.2 MB Mon Sep 28 21:44:17 2026 reduce to 149453680 relations and 142702972 ideals in 1 passes Mon Sep 28 21:44:17 2026 max relations containing the same ideal: 94 Mon Sep 28 21:45:09 2026 removing 7745576 relations and 5745576 ideals in 2000000 cliques Mon Sep 28 21:45:10 2026 commencing in-memory singleton removal Mon Sep 28 21:45:13 2026 begin with 141708104 relations and 142702972 unique ideals Mon Sep 28 21:45:13 2026 memory use: 1104.7 MB Mon Sep 28 21:45:15 2026 reduce to 141413346 relations and 136659230 ideals in 1 passes Mon Sep 28 21:45:15 2026 max relations containing the same ideal: 91 Mon Sep 28 21:46:04 2026 removing 5989944 relations and 4540113 ideals in 1449831 cliques Mon Sep 28 21:46:06 2026 commencing in-memory singleton removal Mon Sep 28 21:46:09 2026 begin with 135423402 relations and 136659230 unique ideals Mon Sep 28 21:46:09 2026 memory use: 1058.6 MB Mon Sep 28 21:46:10 2026 reduce to 135238240 relations and 131932336 ideals in 1 passes Mon Sep 28 21:46:10 2026 max relations containing the same ideal: 85 Mon Sep 28 21:46:57 2026 relations with 0 large ideals: 108409 Mon Sep 28 21:46:57 2026 relations with 1 large ideals: 55929 Mon Sep 28 21:46:57 2026 relations with 2 large ideals: 770958 Mon Sep 28 21:46:57 2026 relations with 3 large ideals: 4658672 Mon Sep 28 21:46:57 2026 relations with 4 large ideals: 15245186 Mon Sep 28 21:46:57 2026 relations with 5 large ideals: 29801116 Mon Sep 28 21:46:57 2026 relations with 6 large ideals: 36423479 Mon Sep 28 21:46:57 2026 relations with 7+ large ideals: 48174491 Mon Sep 28 21:46:57 2026 commencing 2-way merge Mon Sep 28 21:48:02 2026 reduce to 87103478 relation sets and 83797574 unique ideals Mon Sep 28 21:48:02 2026 commencing full merge Mon Sep 28 22:12:46 2026 memory use: 11069.5 MB Mon Sep 28 22:12:48 2026 found 41323701 cycles, need 40911774 Mon Sep 28 22:12:57 2026 weight of 40911774 cycles is about 4500552588 (110.01/cycle) Mon Sep 28 22:12:57 2026 distribution of cycle lengths: Mon Sep 28 22:12:57 2026 1 relations: 2377980 Mon Sep 28 22:12:57 2026 2 relations: 3026464 Mon Sep 28 22:12:57 2026 3 relations: 3406497 Mon Sep 28 22:12:57 2026 4 relations: 3455476 Mon Sep 28 22:12:57 2026 5 relations: 3471165 Mon Sep 28 22:12:57 2026 6 relations: 3370722 Mon Sep 28 22:12:57 2026 7 relations: 3242325 Mon Sep 28 22:12:57 2026 8 relations: 3042976 Mon Sep 28 22:12:57 2026 9 relations: 2779518 Mon Sep 28 22:12:57 2026 10+ relations: 12738651 Mon Sep 28 22:12:57 2026 heaviest cycle: 26 relations Mon Sep 28 22:13:02 2026 commencing cycle optimization Mon Sep 28 22:14:06 2026 start with 309732732 relations Mon Sep 28 22:22:53 2026 pruned 11334158 relations Mon Sep 28 22:22:54 2026 memory use: 9215.5 MB Mon Sep 28 22:22:55 2026 distribution of cycle lengths: Mon Sep 28 22:22:55 2026 1 relations: 2377980 Mon Sep 28 22:22:55 2026 2 relations: 3098459 Mon Sep 28 22:22:55 2026 3 relations: 3544991 Mon Sep 28 22:22:55 2026 4 relations: 3583937 Mon Sep 28 22:22:55 2026 5 relations: 3621232 Mon Sep 28 22:22:55 2026 6 relations: 3502895 Mon Sep 28 22:22:55 2026 7 relations: 3373305 Mon Sep 28 22:22:55 2026 8 relations: 3144640 Mon Sep 28 22:22:55 2026 9 relations: 2861702 Mon Sep 28 22:22:55 2026 10+ relations: 11802633 Mon Sep 28 22:22:55 2026 heaviest cycle: 26 relations Mon Sep 28 22:23:10 2026 RelProcTime: 12088 Mon Sep 28 22:23:10 2026 Mon Sep 28 22:23:10 2026 commencing linear algebra Mon Sep 28 22:23:10 2026 using VBITS=128 Mon Sep 28 22:23:10 2026 stopping after matrix build Mon Sep 28 22:23:10 2026 initialized process (0,0) of 1 x 1 grid Mon Sep 28 22:23:15 2026 read 40911774 cycles Mon Sep 28 22:24:30 2026 cycles contain 133570152 unique relations Mon Sep 28 22:27:20 2026 read 133570152 relations Mon Sep 28 22:27:30 2026 using 20 quadratic characters above 4294917295 Mon Sep 28 22:27:49 2026 building initial matrix Mon Sep 28 22:29:27 2026 memory use: 17115.0 MB Mon Sep 28 22:30:10 2026 read 40911774 cycles Mon Sep 28 22:30:15 2026 matrix is 40911594 x 40911774 (17780.2 MB) with weight 5079047963 (124.15/col) Mon Sep 28 22:30:15 2026 sparse part has weight 4251864353 (103.93/col) Mon Sep 28 22:33:56 2026 filtering completed in 2 passes Mon Sep 28 22:34:03 2026 matrix is 40908851 x 40909029 (17780.0 MB) with weight 5078962771 (124.15/col) Mon Sep 28 22:34:03 2026 sparse part has weight 4251833196 (103.93/col) Mon Sep 28 22:36:20 2026 BLanczosTime: 790 Mon Sep 28 22:36:20 2026 elapsed time 03:34:39 Mon Sep 28 22:36:27 2026 Mon Sep 28 22:36:27 2026 Mon Sep 28 22:36:27 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Sep 28 22:36:27 2026 random seeds: 5d89a1b4 83703a8f Mon Sep 28 22:36:27 2026 MPI process 0 of 4 Mon Sep 28 22:36:27 2026 Using 15 OpenMP threads Mon Sep 28 22:36:27 2026 factoring 5881594814737296250958908214574605629167219811763442311496864777633452715501503351927337093627346740274470627519439848650511527760143138603174705357858550281880724067365009069528874638352953070243692630998702834973888209796737406057 (232 digits) Mon Sep 28 22:36:28 2026 no P-1/P+1/ECM available, skipping Mon Sep 28 22:36:28 2026 commencing number field sieve (232-digit input) Mon Sep 28 22:36:28 2026 R0: -139708234283055276457744135264099 Mon Sep 28 22:36:28 2026 R1: 528568721062043270362042150304060243886211072 Mon Sep 28 22:36:28 2026 A0: 1700248 Mon Sep 28 22:36:28 2026 A1: 0 Mon Sep 28 22:36:28 2026 A2: 0 Mon Sep 28 22:36:28 2026 A3: 0 Mon Sep 28 22:36:28 2026 A4: 0 Mon Sep 28 22:36:28 2026 A5: 0 Mon Sep 28 22:36:28 2026 A6: 1 Mon Sep 28 22:36:28 2026 skew 8.07, size 3.793e-14, alpha 1.639, combined = 1.074e-14 rroots = 0 Mon Sep 28 22:36:28 2026 Mon Sep 28 22:36:28 2026 commencing linear algebra Mon Sep 28 22:36:28 2026 using VBITS=256 Mon Sep 28 22:36:28 2026 skipping matrix build Mon Sep 28 22:36:28 2026 initialized process (0,0) of 2 x 2 grid Mon Sep 28 22:36:47 2026 matrix starts at (0, 0) Mon Sep 28 22:36:48 2026 matrix is 20454546 x 20454544 (5214.5 MB) with weight 1575954638 (77.05/col) Mon Sep 28 22:36:48 2026 sparse part has weight 1162392234 (56.83/col) Mon Sep 28 22:36:48 2026 saving the first 240 matrix rows for later Mon Sep 28 22:36:52 2026 matrix includes 256 packed rows Mon Sep 28 22:36:54 2026 matrix is 20454306 x 20454544 (4649.5 MB) with weight 964396021 (47.15/col) Mon Sep 28 22:36:54 2026 sparse part has weight 891558841 (43.59/col) Mon Sep 28 22:36:54 2026 using GPU 0 (NVIDIA H200) Mon Sep 28 22:36:54 2026 selected card has CUDA arch 9.0 Mon Sep 28 22:36:55 2026 computed block_nnz 128000000 (L2 cache 62914560 bytes, average column weight 43.6) Mon Sep 28 22:36:55 2026 nonzeros per matrix block: 4000000000 Mon Sep 28 22:36:55 2026 SpMV kernel: auto (by nonzeros per row) Mon Sep 28 22:37:54 2026 commencing Lanczos iteration Mon Sep 28 22:37:55 2026 memory use: 10703.5 MB Mon Sep 28 22:38:04 2026 linear algebra at 0.1%, ETA 2h57m Mon Sep 28 22:38:17 2026 checking every 210000 dimensions, checkpointing every 13230000 dimensions Tue Sep 29 01:44:08 2026 lanczos halted after 160280 iterations (dim = 40908607) Tue Sep 29 01:46:46 2026 recovered 33 nontrivial dependencies Tue Sep 29 01:46:47 2026 BLanczosTime: 11419 Tue Sep 29 01:46:47 2026 elapsed time 03:10:20 Tue Sep 29 01:46:48 2026 Tue Sep 29 01:46:48 2026 Tue Sep 29 01:46:48 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Sep 29 01:46:48 2026 random seeds: 95c5773a 8fce7872 Tue Sep 29 01:46:48 2026 MPI process 0 of 1 Tue Sep 29 01:46:48 2026 Using 46 OpenMP threads Tue Sep 29 01:46:48 2026 factoring 5881594814737296250958908214574605629167219811763442311496864777633452715501503351927337093627346740274470627519439848650511527760143138603174705357858550281880724067365009069528874638352953070243692630998702834973888209796737406057 (232 digits) Tue Sep 29 01:46:49 2026 no P-1/P+1/ECM available, skipping Tue Sep 29 01:46:49 2026 commencing number field sieve (232-digit input) Tue Sep 29 01:46:49 2026 R0: -139708234283055276457744135264099 Tue Sep 29 01:46:49 2026 R1: 528568721062043270362042150304060243886211072 Tue Sep 29 01:46:49 2026 A0: 1700248 Tue Sep 29 01:46:49 2026 A1: 0 Tue Sep 29 01:46:49 2026 A2: 0 Tue Sep 29 01:46:49 2026 A3: 0 Tue Sep 29 01:46:49 2026 A4: 0 Tue Sep 29 01:46:49 2026 A5: 0 Tue Sep 29 01:46:49 2026 A6: 1 Tue Sep 29 01:46:49 2026 skew 8.07, size 3.793e-14, alpha 1.639, combined = 1.074e-14 rroots = 0 Tue Sep 29 01:46:49 2026 Tue Sep 29 01:46:49 2026 commencing square root phase Tue Sep 29 01:46:49 2026 reading relations for dependency 1 Tue Sep 29 01:46:54 2026 read 20451465 cycles Tue Sep 29 01:47:36 2026 cycles contain 66782292 unique relations Tue Sep 29 02:05:46 2026 read 66782292 relations Tue Sep 29 02:06:51 2026 multiplying 66782292 relations Tue Sep 29 02:09:50 2026 multiply complete, coefficients have about 1917.88 million bits Tue Sep 29 02:09:57 2026 initial square root is modulo 400915129 Tue Sep 29 02:18:05 2026 GCD is 1, no factor found Tue Sep 29 02:37:10 2026 staged savefile to /scratch/gchilders/msieve.dat (156657.0 MB in 1145 sec) Tue Sep 29 02:37:10 2026 reading relations for dependency 2 Tue Sep 29 02:37:15 2026 read 20453844 cycles Tue Sep 29 02:37:54 2026 cycles contain 66780090 unique relations Tue Sep 29 02:41:39 2026 read 66780090 relations Tue Sep 29 02:42:46 2026 multiplying 66780090 relations Tue Sep 29 02:45:42 2026 multiply complete, coefficients have about 1917.82 million bits Tue Sep 29 02:45:49 2026 initial square root is modulo 400695637 Tue Sep 29 02:54:02 2026 GCD is N, no factor found Tue Sep 29 02:54:02 2026 reading relations for dependency 3 Tue Sep 29 02:54:08 2026 read 20452822 cycles Tue Sep 29 02:54:44 2026 cycles contain 66779310 unique relations Tue Sep 29 02:57:10 2026 read 66779310 relations Tue Sep 29 02:58:19 2026 multiplying 66779310 relations Tue Sep 29 03:01:13 2026 multiply complete, coefficients have about 1917.80 million bits Tue Sep 29 03:01:20 2026 initial square root is modulo 400606693 Tue Sep 29 03:09:32 2026 GCD is 1, no factor found Tue Sep 29 03:09:32 2026 reading relations for dependency 4 Tue Sep 29 03:09:37 2026 read 20455025 cycles Tue Sep 29 03:10:15 2026 cycles contain 66782932 unique relations Tue Sep 29 03:11:45 2026 read 66782932 relations Tue Sep 29 03:12:49 2026 multiplying 66782932 relations Tue Sep 29 03:15:43 2026 multiply complete, coefficients have about 1917.90 million bits Tue Sep 29 03:15:50 2026 initial square root is modulo 401007697 Tue Sep 29 03:24:02 2026 GCD is 1, no factor found Tue Sep 29 03:24:02 2026 reading relations for dependency 5 Tue Sep 29 03:24:07 2026 read 20454050 cycles Tue Sep 29 03:24:46 2026 cycles contain 66787766 unique relations Tue Sep 29 03:26:15 2026 read 66787766 relations Tue Sep 29 03:27:23 2026 multiplying 66787766 relations Tue Sep 29 03:30:19 2026 multiply complete, coefficients have about 1918.05 million bits Tue Sep 29 03:30:27 2026 initial square root is modulo 401643757 Tue Sep 29 03:38:40 2026 GCD is 1, no factor found Tue Sep 29 03:38:40 2026 reading relations for dependency 6 Tue Sep 29 03:38:45 2026 read 20459506 cycles Tue Sep 29 03:39:23 2026 cycles contain 66800890 unique relations Tue Sep 29 03:40:54 2026 read 66800890 relations Tue Sep 29 03:41:57 2026 multiplying 66800890 relations Tue Sep 29 03:44:53 2026 multiply complete, coefficients have about 1918.42 million bits Tue Sep 29 03:45:00 2026 initial square root is modulo 403184209 Tue Sep 29 03:53:10 2026 GCD is 1, no factor found Tue Sep 29 03:53:10 2026 reading relations for dependency 7 Tue Sep 29 03:53:14 2026 read 20455667 cycles Tue Sep 29 03:53:57 2026 cycles contain 66787626 unique relations Tue Sep 29 03:55:27 2026 read 66787626 relations Tue Sep 29 03:56:30 2026 multiplying 66787626 relations Tue Sep 29 03:59:27 2026 multiply complete, coefficients have about 1918.05 million bits Tue Sep 29 03:59:34 2026 initial square root is modulo 401641567 Tue Sep 29 04:07:49 2026 GCD is N, no factor found Tue Sep 29 04:07:49 2026 reading relations for dependency 8 Tue Sep 29 04:07:54 2026 read 20453949 cycles Tue Sep 29 04:08:30 2026 cycles contain 66787618 unique relations Tue Sep 29 04:09:57 2026 read 66787618 relations Tue Sep 29 04:11:05 2026 multiplying 66787618 relations Tue Sep 29 04:14:05 2026 multiply complete, coefficients have about 1918.05 million bits Tue Sep 29 04:14:12 2026 initial square root is modulo 401621497 Tue Sep 29 04:22:34 2026 sqrtTime: 9345 Tue Sep 29 04:22:34 2026 p87 factor: 569568648819432351510824775754279676618772997855798179809844828702765712477245889899953 Tue Sep 29 04:22:34 2026 p146 factor: 10326401965642442463944255570251609103519484456279443846599355953296575114785734067936105593115691708648054173359650588815744553727445472443738169 Tue Sep 29 04:22:34 2026 elapsed time 02:35:46