Mon Apr 20 10:23:03 2026 Mon Apr 20 10:23:03 2026 Mon Apr 20 10:23:03 2026 Msieve v. 1.54 (SVN unknown) Mon Apr 20 10:23:03 2026 random seeds: c1b8db15 841790b8 Mon Apr 20 10:23:03 2026 Using 8 OpenMP threads Mon Apr 20 10:23:03 2026 factoring 36521658093164352521021703605240699463043599835655450631389771726565255994710102986240393439888369058977099497193807895767992131703042771657084416666749700359305098290142969 (173 digits) Mon Apr 20 10:23:03 2026 no P-1/P+1/ECM available, skipping Mon Apr 20 10:23:03 2026 commencing number field sieve (173-digit input) Mon Apr 20 10:23:03 2026 R0: -4139972960671305405256097986926370 Mon Apr 20 10:23:03 2026 R1: 1276890620585992423961 Mon Apr 20 10:23:03 2026 A0: 1957176498954152866136627796173579749659 Mon Apr 20 10:23:03 2026 A1: 3005771244506000094825959206972093 Mon Apr 20 10:23:03 2026 A2: -73335868116273142024683513 Mon Apr 20 10:23:03 2026 A3: -163721724791164076882 Mon Apr 20 10:23:03 2026 A4: 1710863874763 Mon Apr 20 10:23:03 2026 A5: 30030 Mon Apr 20 10:23:03 2026 skew 1.00, size 1.196e-16, alpha -6.541, combined = 1.853e-15 rroots = 5 Mon Apr 20 10:23:03 2026 Mon Apr 20 10:23:03 2026 commencing relation filtering Mon Apr 20 10:23:03 2026 setting 3 target densities:Mon Apr 20 10:23:03 2026 80Mon Apr 20 10:23:03 2026 100Mon Apr 20 10:23:03 2026 120Mon Apr 20 10:23:03 2026 Mon Apr 20 10:23:03 2026 estimated available RAM is 78540.1 MB Mon Apr 20 10:23:03 2026 commencing duplicate removal, pass 1 Mon Apr 20 10:23:24 2026 error -1 reading relation 12416243 Mon Apr 20 10:23:42 2026 error -1 reading relation 22171622 Mon Apr 20 10:23:49 2026 error -1 reading relation 25749316 Mon Apr 20 10:24:56 2026 error -11 reading relation 64819479 Mon Apr 20 10:25:05 2026 error -1 reading relation 71347259 Mon Apr 20 10:25:05 2026 error -1 reading relation 71414104 Mon Apr 20 10:25:58 2026 error -1 reading relation 101550476 Mon Apr 20 10:26:39 2026 error -1 reading relation 126177489 Mon Apr 20 10:26:42 2026 error -1 reading relation 128106585 Mon Apr 20 10:27:07 2026 error -1 reading relation 141385693 Mon Apr 20 10:27:27 2026 error -1 reading relation 157680163 Mon Apr 20 10:27:35 2026 error -1 reading relation 166321147 Mon Apr 20 10:27:37 2026 error -1 reading relation 167858007 Mon Apr 20 10:27:43 2026 error -1 reading relation 174978783 Mon Apr 20 10:27:46 2026 error -1 reading relation 178334828 Mon Apr 20 10:27:48 2026 error -1 reading relation 180028939 Mon Apr 20 10:28:03 2026 error -1 reading relation 195120824 Mon Apr 20 10:28:03 2026 error -1 reading relation 195343537 Mon Apr 20 10:28:03 2026 error -1 reading relation 196053290 Mon Apr 20 10:28:04 2026 error -1 reading relation 197023089 Mon Apr 20 10:28:07 2026 error -1 reading relation 199525225 Mon Apr 20 10:28:16 2026 error -1 reading relation 209987732 Mon Apr 20 10:28:19 2026 error -1 reading relation 213043859 Mon Apr 20 10:28:20 2026 error -1 reading relation 213946552 Mon Apr 20 10:28:32 2026 error -1 reading relation 226395026 Mon Apr 20 10:28:39 2026 error -1 reading relation 232905120 Mon Apr 20 10:28:43 2026 error -15 reading relation 237568105 Mon Apr 20 10:28:45 2026 error -1 reading relation 240180599 Mon Apr 20 10:28:47 2026 error -1 reading relation 241768052 Mon Apr 20 10:28:51 2026 error -5 reading relation 245527126 Mon Apr 20 10:28:51 2026 error -1 reading relation 246033962 Mon Apr 20 10:29:01 2026 error -1 reading relation 255707042 Mon Apr 20 10:29:03 2026 error -1 reading relation 257830235 Mon Apr 20 10:29:04 2026 error -1 reading relation 258751276 Mon Apr 20 10:29:07 2026 error -1 reading relation 262437635 Mon Apr 20 10:29:14 2026 error -1 reading relation 270629096 Mon Apr 20 10:29:14 2026 error -1 reading relation 270629337 Mon Apr 20 10:29:14 2026 error -1 reading relation 271100309 Mon Apr 20 10:29:15 2026 error -1 reading relation 272402199 Mon Apr 20 10:29:17 2026 error -1 reading relation 274482215 Mon Apr 20 10:29:27 2026 error -1 reading relation 283011801 Mon Apr 20 10:29:40 2026 skipped 367 malformed relations Mon Apr 20 10:29:40 2026 found 63410609 hash collisions in 290561561 relations Mon Apr 20 10:29:54 2026 added 122383 free relations Mon Apr 20 10:29:54 2026 commencing duplicate removal, pass 2 Mon Apr 20 10:31:58 2026 found 70451945 duplicates and 220231999 unique relations Mon Apr 20 10:31:58 2026 memory use: 1705.5 MB Mon Apr 20 10:31:58 2026 reading ideals above 720000 Mon Apr 20 10:31:58 2026 commencing singleton removal, initial pass Mon Apr 20 10:47:23 2026 memory use: 5512.0 MB Mon Apr 20 10:47:24 2026 reading all ideals from disk Mon Apr 20 10:47:29 2026 memory use: 10317.2 MB Mon Apr 20 10:47:45 2026 keeping 200325474 ideals with weight <= 200, target excess is 1105332 Mon Apr 20 10:48:02 2026 commencing in-memory singleton removal Mon Apr 20 10:48:05 2026 begin with 220231999 relations and 200325474 unique ideals Mon Apr 20 10:48:32 2026 reduce to 139964232 relations and 112352886 ideals in 14 passes Mon Apr 20 10:48:32 2026 max relations containing the same ideal: 157 Mon Apr 20 10:49:20 2026 removing 10688315 relations and 8688315 ideals in 2000000 cliques Mon Apr 20 10:49:24 2026 commencing in-memory singleton removal Mon Apr 20 10:49:26 2026 begin with 129275917 relations and 112352886 unique ideals Mon Apr 20 10:49:39 2026 reduce to 128632943 relations and 103009856 ideals in 9 passes Mon Apr 20 10:49:39 2026 max relations containing the same ideal: 149 Mon Apr 20 10:50:17 2026 removing 8258468 relations and 6258468 ideals in 2000000 cliques Mon Apr 20 10:50:20 2026 commencing in-memory singleton removal Mon Apr 20 10:50:22 2026 begin with 120374475 relations and 103009856 unique ideals Mon Apr 20 10:50:34 2026 reduce to 119937038 relations and 96306807 ideals in 8 passes Mon Apr 20 10:50:34 2026 max relations containing the same ideal: 144 Mon Apr 20 10:51:09 2026 removing 7541812 relations and 5541812 ideals in 2000000 cliques Mon Apr 20 10:51:10 2026 commencing in-memory singleton removal Mon Apr 20 10:51:12 2026 begin with 112395226 relations and 96306807 unique ideals Mon Apr 20 10:51:22 2026 reduce to 112005376 relations and 90368821 ideals in 7 passes Mon Apr 20 10:51:22 2026 max relations containing the same ideal: 139 Mon Apr 20 10:51:54 2026 removing 7177647 relations and 5177647 ideals in 2000000 cliques Mon Apr 20 10:51:57 2026 commencing in-memory singleton removal Mon Apr 20 10:51:58 2026 begin with 104827729 relations and 90368821 unique ideals Mon Apr 20 10:52:06 2026 reduce to 104452682 relations and 84809778 ideals in 6 passes Mon Apr 20 10:52:06 2026 max relations containing the same ideal: 132 Mon Apr 20 10:52:37 2026 removing 6964810 relations and 4964810 ideals in 2000000 cliques Mon Apr 20 10:52:39 2026 commencing in-memory singleton removal Mon Apr 20 10:52:40 2026 begin with 97487872 relations and 84809778 unique ideals Mon Apr 20 10:52:50 2026 reduce to 97116391 relations and 79466952 ideals in 8 passes Mon Apr 20 10:52:50 2026 max relations containing the same ideal: 126 Mon Apr 20 10:53:21 2026 removing 6829935 relations and 4829935 ideals in 2000000 cliques Mon Apr 20 10:53:23 2026 commencing in-memory singleton removal Mon Apr 20 10:53:25 2026 begin with 90286456 relations and 79466952 unique ideals Mon Apr 20 10:53:34 2026 reduce to 89910078 relations and 74253515 ideals in 8 passes Mon Apr 20 10:53:34 2026 max relations containing the same ideal: 118 Mon Apr 20 10:54:06 2026 removing 6741465 relations and 4741465 ideals in 2000000 cliques Mon Apr 20 10:54:08 2026 commencing in-memory singleton removal Mon Apr 20 10:54:10 2026 begin with 83168613 relations and 74253515 unique ideals Mon Apr 20 10:54:17 2026 reduce to 82776449 relations and 69111901 ideals in 7 passes Mon Apr 20 10:54:17 2026 max relations containing the same ideal: 114 Mon Apr 20 10:54:43 2026 removing 6695737 relations and 4695737 ideals in 2000000 cliques Mon Apr 20 10:54:45 2026 commencing in-memory singleton removal Mon Apr 20 10:54:46 2026 begin with 76080712 relations and 69111901 unique ideals Mon Apr 20 10:54:53 2026 reduce to 75668470 relations and 63995072 ideals in 7 passes Mon Apr 20 10:54:53 2026 max relations containing the same ideal: 106 Mon Apr 20 10:55:17 2026 removing 6674650 relations and 4674650 ideals in 2000000 cliques Mon Apr 20 10:55:19 2026 commencing in-memory singleton removal Mon Apr 20 10:55:20 2026 begin with 68993820 relations and 63995072 unique ideals Mon Apr 20 10:55:25 2026 reduce to 68550957 relations and 58867260 ideals in 7 passes Mon Apr 20 10:55:25 2026 max relations containing the same ideal: 101 Mon Apr 20 10:55:48 2026 removing 6684576 relations and 4684576 ideals in 2000000 cliques Mon Apr 20 10:55:50 2026 commencing in-memory singleton removal Mon Apr 20 10:55:51 2026 begin with 61866381 relations and 58867260 unique ideals Mon Apr 20 10:55:57 2026 reduce to 61382621 relations and 53686491 ideals in 9 passes Mon Apr 20 10:55:57 2026 max relations containing the same ideal: 90 Mon Apr 20 10:56:18 2026 removing 6714704 relations and 4714704 ideals in 2000000 cliques Mon Apr 20 10:56:19 2026 commencing in-memory singleton removal Mon Apr 20 10:56:20 2026 begin with 54667917 relations and 53686491 unique ideals Mon Apr 20 10:56:24 2026 reduce to 54128575 relations and 48417592 ideals in 7 passes Mon Apr 20 10:56:24 2026 max relations containing the same ideal: 85 Mon Apr 20 10:56:42 2026 removing 6759284 relations and 4759284 ideals in 2000000 cliques Mon Apr 20 10:56:44 2026 commencing in-memory singleton removal Mon Apr 20 10:56:45 2026 begin with 47369291 relations and 48417592 unique ideals Mon Apr 20 10:56:49 2026 reduce to 46751366 relations and 43021045 ideals in 8 passes Mon Apr 20 10:56:49 2026 max relations containing the same ideal: 77 Mon Apr 20 10:57:05 2026 removing 6838417 relations and 4838417 ideals in 2000000 cliques Mon Apr 20 10:57:07 2026 commencing in-memory singleton removal Mon Apr 20 10:57:07 2026 begin with 39912949 relations and 43021045 unique ideals Mon Apr 20 10:57:10 2026 reduce to 39178516 relations and 37421417 ideals in 9 passes Mon Apr 20 10:57:10 2026 max relations containing the same ideal: 68 Mon Apr 20 10:57:24 2026 removing 2222035 relations and 1747122 ideals in 474913 cliques Mon Apr 20 10:57:25 2026 commencing in-memory singleton removal Mon Apr 20 10:57:26 2026 begin with 36956481 relations and 37421417 unique ideals Mon Apr 20 10:57:29 2026 reduce to 36871081 relations and 35588025 ideals in 7 passes Mon Apr 20 10:57:29 2026 max relations containing the same ideal: 64 Mon Apr 20 10:57:42 2026 trying target density 80 Mon Apr 20 10:57:45 2026 relations with 0 large ideals: 4277 Mon Apr 20 10:57:45 2026 relations with 1 large ideals: 31630 Mon Apr 20 10:57:45 2026 relations with 2 large ideals: 410430 Mon Apr 20 10:57:45 2026 relations with 3 large ideals: 2144617 Mon Apr 20 10:57:45 2026 relations with 4 large ideals: 5937193 Mon Apr 20 10:57:45 2026 relations with 5 large ideals: 9690947 Mon Apr 20 10:57:45 2026 relations with 6 large ideals: 9770573 Mon Apr 20 10:57:45 2026 relations with 7+ large ideals: 8881414 Mon Apr 20 10:57:45 2026 commencing 2-way merge Mon Apr 20 10:58:05 2026 reduce to 23732724 relation sets and 22449668 unique ideals Mon Apr 20 10:58:05 2026 commencing full merge Mon Apr 20 11:02:47 2026 memory use: 2603.8 MB Mon Apr 20 11:02:51 2026 found 12254423 cycles, need 12077868 Mon Apr 20 11:02:54 2026 weight of 12077868 cycles is about 966389335 (80.01/cycle) Mon Apr 20 11:02:54 2026 distribution of cycle lengths: Mon Apr 20 11:02:54 2026 1 relations: 1085707 Mon Apr 20 11:02:54 2026 2 relations: 1266033 Mon Apr 20 11:02:54 2026 3 relations: 1361050 Mon Apr 20 11:02:54 2026 4 relations: 1326448 Mon Apr 20 11:02:54 2026 5 relations: 1281144 Mon Apr 20 11:02:54 2026 6 relations: 1173679 Mon Apr 20 11:02:54 2026 7 relations: 1044034 Mon Apr 20 11:02:54 2026 8 relations: 894868 Mon Apr 20 11:02:54 2026 9 relations: 735548 Mon Apr 20 11:02:54 2026 10+ relations: 1909357 Mon Apr 20 11:02:54 2026 heaviest cycle: 19 relations Mon Apr 20 11:02:56 2026 commencing cycle optimization Mon Apr 20 11:03:13 2026 start with 69973167 relations Mon Apr 20 11:04:32 2026 pruned 2018205 relations Mon Apr 20 11:04:33 2026 memory use: 2238.5 MB Mon Apr 20 11:04:33 2026 distribution of cycle lengths: Mon Apr 20 11:04:33 2026 1 relations: 1085707 Mon Apr 20 11:04:33 2026 2 relations: 1296722 Mon Apr 20 11:04:33 2026 3 relations: 1415748 Mon Apr 20 11:04:33 2026 4 relations: 1368607 Mon Apr 20 11:04:33 2026 5 relations: 1327125 Mon Apr 20 11:04:33 2026 6 relations: 1203906 Mon Apr 20 11:04:33 2026 7 relations: 1067861 Mon Apr 20 11:04:33 2026 8 relations: 900627 Mon Apr 20 11:04:33 2026 9 relations: 728168 Mon Apr 20 11:04:33 2026 10+ relations: 1683397 Mon Apr 20 11:04:33 2026 heaviest cycle: 18 relations Mon Apr 20 11:04:52 2026 trying target density 100 Mon Apr 20 11:04:55 2026 relations with 0 large ideals: 4277 Mon Apr 20 11:04:55 2026 relations with 1 large ideals: 31630 Mon Apr 20 11:04:55 2026 relations with 2 large ideals: 410430 Mon Apr 20 11:04:55 2026 relations with 3 large ideals: 2144617 Mon Apr 20 11:04:55 2026 relations with 4 large ideals: 5937193 Mon Apr 20 11:04:55 2026 relations with 5 large ideals: 9690947 Mon Apr 20 11:04:55 2026 relations with 6 large ideals: 9770573 Mon Apr 20 11:04:55 2026 relations with 7+ large ideals: 8881414 Mon Apr 20 11:04:55 2026 commencing 2-way merge Mon Apr 20 11:05:10 2026 reduce to 23732724 relation sets and 22449668 unique ideals Mon Apr 20 11:05:10 2026 commencing full merge Mon Apr 20 11:10:58 2026 memory use: 2683.1 MB Mon Apr 20 11:11:01 2026 found 11350319 cycles, need 11183868 Mon Apr 20 11:11:04 2026 weight of 11183868 cycles is about 1118489345 (100.01/cycle) Mon Apr 20 11:11:04 2026 distribution of cycle lengths: Mon Apr 20 11:11:04 2026 1 relations: 668951 Mon Apr 20 11:11:04 2026 2 relations: 888555 Mon Apr 20 11:11:04 2026 3 relations: 995818 Mon Apr 20 11:11:04 2026 4 relations: 1002498 Mon Apr 20 11:11:04 2026 5 relations: 998448 Mon Apr 20 11:11:04 2026 6 relations: 959821 Mon Apr 20 11:11:04 2026 7 relations: 914519 Mon Apr 20 11:11:04 2026 8 relations: 841357 Mon Apr 20 11:11:04 2026 9 relations: 755385 Mon Apr 20 11:11:04 2026 10+ relations: 3158516 Mon Apr 20 11:11:04 2026 heaviest cycle: 23 relations Mon Apr 20 11:11:06 2026 commencing cycle optimization Mon Apr 20 11:11:27 2026 start with 80784581 relations Mon Apr 20 11:13:32 2026 pruned 2987688 relations Mon Apr 20 11:13:33 2026 memory use: 2352.3 MB Mon Apr 20 11:13:33 2026 distribution of cycle lengths: Mon Apr 20 11:13:33 2026 1 relations: 668951 Mon Apr 20 11:13:33 2026 2 relations: 912008 Mon Apr 20 11:13:33 2026 3 relations: 1039475 Mon Apr 20 11:13:33 2026 4 relations: 1040868 Mon Apr 20 11:13:33 2026 5 relations: 1043358 Mon Apr 20 11:13:33 2026 6 relations: 998644 Mon Apr 20 11:13:33 2026 7 relations: 951149 Mon Apr 20 11:13:33 2026 8 relations: 867244 Mon Apr 20 11:13:33 2026 9 relations: 773618 Mon Apr 20 11:13:33 2026 10+ relations: 2888553 Mon Apr 20 11:13:33 2026 heaviest cycle: 23 relations Mon Apr 20 11:13:51 2026 trying target density 120 Mon Apr 20 11:13:54 2026 relations with 0 large ideals: 4277 Mon Apr 20 11:13:54 2026 relations with 1 large ideals: 31630 Mon Apr 20 11:13:54 2026 relations with 2 large ideals: 410430 Mon Apr 20 11:13:54 2026 relations with 3 large ideals: 2144617 Mon Apr 20 11:13:54 2026 relations with 4 large ideals: 5937193 Mon Apr 20 11:13:54 2026 relations with 5 large ideals: 9690947 Mon Apr 20 11:13:54 2026 relations with 6 large ideals: 9770573 Mon Apr 20 11:13:54 2026 relations with 7+ large ideals: 8881414 Mon Apr 20 11:13:54 2026 commencing 2-way merge Mon Apr 20 11:14:09 2026 reduce to 23732724 relation sets and 22449668 unique ideals Mon Apr 20 11:14:09 2026 commencing full merge Mon Apr 20 11:21:02 2026 memory use: 2742.0 MB Mon Apr 20 11:21:06 2026 found 10675683 cycles, need 10553868 Mon Apr 20 11:21:07 2026 weight of 10553868 cycles is about 1266670970 (120.02/cycle) Mon Apr 20 11:21:07 2026 distribution of cycle lengths: Mon Apr 20 11:21:07 2026 1 relations: 439019 Mon Apr 20 11:21:07 2026 2 relations: 658160 Mon Apr 20 11:21:07 2026 3 relations: 763853 Mon Apr 20 11:21:07 2026 4 relations: 783630 Mon Apr 20 11:21:07 2026 5 relations: 802154 Mon Apr 20 11:21:07 2026 6 relations: 787114 Mon Apr 20 11:21:07 2026 7 relations: 777343 Mon Apr 20 11:21:07 2026 8 relations: 736604 Mon Apr 20 11:21:07 2026 9 relations: 697686 Mon Apr 20 11:21:07 2026 10+ relations: 4108305 Mon Apr 20 11:21:07 2026 heaviest cycle: 27 relations Mon Apr 20 11:21:09 2026 commencing cycle optimization Mon Apr 20 11:21:29 2026 start with 91111428 relations Mon Apr 20 11:24:15 2026 pruned 4014870 relations Mon Apr 20 11:24:15 2026 memory use: 2456.4 MB Mon Apr 20 11:24:15 2026 distribution of cycle lengths: Mon Apr 20 11:24:15 2026 1 relations: 439019 Mon Apr 20 11:24:15 2026 2 relations: 676536 Mon Apr 20 11:24:15 2026 3 relations: 798600 Mon Apr 20 11:24:15 2026 4 relations: 817258 Mon Apr 20 11:24:15 2026 5 relations: 842332 Mon Apr 20 11:24:15 2026 6 relations: 825615 Mon Apr 20 11:24:15 2026 7 relations: 816016 Mon Apr 20 11:24:15 2026 8 relations: 770750 Mon Apr 20 11:24:15 2026 9 relations: 727923 Mon Apr 20 11:24:15 2026 10+ relations: 3839819 Mon Apr 20 11:24:15 2026 heaviest cycle: 26 relations Mon Apr 20 11:24:36 2026 RelProcTime: 3693 Mon Apr 20 11:24:36 2026 Mon Apr 20 11:24:36 2026 commencing linear algebra Mon Apr 20 11:24:36 2026 using VBITS=256 Mon Apr 20 11:24:36 2026 building matrices for all densities Mon Apr 20 11:24:36 2026 found 3 density files Mon Apr 20 11:24:36 2026 building matrix for density 80 Mon Apr 20 11:24:37 2026 read 12077868 cycles Mon Apr 20 11:24:52 2026 cycles contain 36167190 unique relations Mon Apr 20 11:25:46 2026 read 36167190 relations Mon Apr 20 11:25:56 2026 using 20 quadratic characters above 4294917295 Mon Apr 20 11:26:11 2026 building initial matrix Mon Apr 20 11:32:10 2026 memory use: 5062.4 MB Mon Apr 20 11:32:13 2026 read 12077868 cycles Mon Apr 20 11:32:15 2026 matrix is 12077689 x 12077868 (4100.2 MB) with weight 1274438778 (105.52/col) Mon Apr 20 11:32:15 2026 sparse part has weight 929907875 (76.99/col) Mon Apr 20 11:33:27 2026 filtering completed in 2 passes Mon Apr 20 11:33:29 2026 matrix is 12074673 x 12074851 (4099.9 MB) with weight 1274326459 (105.54/col) Mon Apr 20 11:33:29 2026 sparse part has weight 929878534 (77.01/col) Mon Apr 20 11:33:59 2026 building matrix for density 100 Mon Apr 20 11:33:59 2026 read 11183868 cycles Mon Apr 20 11:34:14 2026 cycles contain 36181862 unique relations Mon Apr 20 11:35:00 2026 read 36181862 relations Mon Apr 20 11:35:10 2026 using 20 quadratic characters above 4294917295 Mon Apr 20 11:35:27 2026 building initial matrix Mon Apr 20 11:41:44 2026 memory use: 5074.4 MB Mon Apr 20 11:41:47 2026 read 11183868 cycles Mon Apr 20 11:41:49 2026 matrix is 11183689 x 11183868 (4553.6 MB) with weight 1402280043 (125.38/col) Mon Apr 20 11:41:49 2026 sparse part has weight 1059497107 (94.73/col) Mon Apr 20 11:43:08 2026 filtering completed in 2 passes Mon Apr 20 11:43:10 2026 matrix is 11182270 x 11182448 (4553.5 MB) with weight 1402213896 (125.39/col) Mon Apr 20 11:43:10 2026 sparse part has weight 1059474550 (94.74/col) Mon Apr 20 11:43:39 2026 building matrix for density 120 Mon Apr 20 11:43:40 2026 read 10553868 cycles Mon Apr 20 11:43:54 2026 cycles contain 36187463 unique relations Mon Apr 20 11:44:33 2026 read 36187463 relations Mon Apr 20 11:44:42 2026 using 20 quadratic characters above 4294917295 Mon Apr 20 11:44:57 2026 building initial matrix Mon Apr 20 11:52:00 2026 memory use: 5091.3 MB Mon Apr 20 11:52:03 2026 read 10553868 cycles Mon Apr 20 11:52:05 2026 matrix is 10553691 x 10553868 (4994.5 MB) with weight 1524577036 (144.46/col) Mon Apr 20 11:52:05 2026 sparse part has weight 1182628150 (112.06/col) Mon Apr 20 11:53:43 2026 filtering completed in 2 passes Mon Apr 20 11:53:44 2026 matrix is 10553068 x 10553243 (4994.4 MB) with weight 1524545716 (144.46/col) Mon Apr 20 11:53:44 2026 sparse part has weight 1182617461 (112.06/col) Mon Apr 20 11:54:18 2026 BLanczosTime: 1782 Mon Apr 20 11:54:18 2026 elapsed time 01:31:15 Mon Apr 20 12:06:01 2026 Mon Apr 20 12:06:01 2026 Mon Apr 20 12:06:01 2026 Msieve v. 1.54 (SVN unknown) Mon Apr 20 12:06:01 2026 random seeds: a95e8dc1 ca1785cf Mon Apr 20 12:06:01 2026 Using 8 OpenMP threads Mon Apr 20 12:06:01 2026 factoring 36521658093164352521021703605240699463043599835655450631389771726565255994710102986240393439888369058977099497193807895767992131703042771657084416666749700359305098290142969 (173 digits) Mon Apr 20 12:06:01 2026 no P-1/P+1/ECM available, skipping Mon Apr 20 12:06:01 2026 commencing number field sieve (173-digit input) Mon Apr 20 12:06:01 2026 R0: -4139972960671305405256097986926370 Mon Apr 20 12:06:01 2026 R1: 1276890620585992423961 Mon Apr 20 12:06:01 2026 A0: 1957176498954152866136627796173579749659 Mon Apr 20 12:06:01 2026 A1: 3005771244506000094825959206972093 Mon Apr 20 12:06:01 2026 A2: -73335868116273142024683513 Mon Apr 20 12:06:01 2026 A3: -163721724791164076882 Mon Apr 20 12:06:01 2026 A4: 1710863874763 Mon Apr 20 12:06:01 2026 A5: 30030 Mon Apr 20 12:06:01 2026 skew 1.00, size 1.196e-16, alpha -6.541, combined = 1.853e-15 rroots = 5 Mon Apr 20 12:06:01 2026 Mon Apr 20 12:06:01 2026 commencing linear algebra Mon Apr 20 12:06:01 2026 using VBITS=256 Mon Apr 20 12:06:01 2026 selecting density 100 for linear algebra Mon Apr 20 12:06:05 2026 matrix starts at (0, 0) Mon Apr 20 12:06:05 2026 matrix is 11182270 x 11182448 (4553.5 MB) with weight 1402213896 (125.39/col) Mon Apr 20 12:06:05 2026 sparse part has weight 1059474550 (94.74/col) Mon Apr 20 12:06:05 2026 saving the first 240 matrix rows for later Mon Apr 20 12:06:07 2026 matrix includes 256 packed rows Mon Apr 20 12:06:10 2026 matrix is 11182030 x 11182448 (4138.0 MB) with weight 965702452 (86.36/col) Mon Apr 20 12:06:10 2026 sparse part has weight 905822050 (81.00/col) Mon Apr 20 12:06:10 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Mon Apr 20 12:06:10 2026 selected card has CUDA arch 12.0 Mon Apr 20 12:07:38 2026 commencing Lanczos iteration Mon Apr 20 12:07:45 2026 memory use: 9726.3 MB Mon Apr 20 12:08:18 2026 linear algebra at 0.3%, ETA 3h14m Mon Apr 20 12:09:06 2026 checking every 50000 dimensions, checkpointing every 3500000 dimensions Mon Apr 20 15:15:42 2026 lanczos halted after 43813 iterations (dim = 11182030) Mon Apr 20 15:16:07 2026 recovered 33 nontrivial dependencies Mon Apr 20 15:16:08 2026 BLanczosTime: 11407 Mon Apr 20 15:16:08 2026 Mon Apr 20 15:16:08 2026 commencing square root phase Mon Apr 20 15:16:08 2026 handling dependencies 1 to 64 Mon Apr 20 15:16:08 2026 reading relations for dependency 1 Mon Apr 20 15:16:30 2026 read 5586325 cycles Mon Apr 20 15:16:36 2026 cycles contain 18083336 unique relations Mon Apr 20 15:19:54 2026 read 18083336 relations Mon Apr 20 15:20:41 2026 multiplying 18083336 relations Mon Apr 20 15:22:03 2026 multiply complete, coefficients have about 975.23 million bits Mon Apr 20 15:22:05 2026 initial square root is modulo 561399277 Mon Apr 20 15:25:01 2026 GCD is N, no factor found Mon Apr 20 15:25:01 2026 reading relations for dependency 2 Mon Apr 20 15:25:02 2026 read 5591725 cycles Mon Apr 20 15:25:08 2026 cycles contain 18091628 unique relations Mon Apr 20 15:25:35 2026 read 18091628 relations Mon Apr 20 15:26:22 2026 multiplying 18091628 relations Mon Apr 20 15:27:41 2026 multiply complete, coefficients have about 975.67 million bits Mon Apr 20 15:27:43 2026 initial square root is modulo 566538493 Mon Apr 20 15:30:37 2026 sqrtTime: 869 Mon Apr 20 15:30:37 2026 p83 factor: 64277761720016757688380264723502023402751771244474942299307979983795576073906497429 Mon Apr 20 15:30:37 2026 p90 factor: 568184969667217451677588847612549091017653695455321197373231886686627259597786049016066261 Mon Apr 20 15:30:37 2026 elapsed time 03:24:36