Tue May 19 06:40:48 2026 Tue May 19 06:40:48 2026 Tue May 19 06:40:48 2026 Msieve v. 1.54 (SVN unknown) Tue May 19 06:40:48 2026 random seeds: 8765cee4 af8365e9 Tue May 19 06:40:48 2026 Using 12 OpenMP threads Tue May 19 06:40:48 2026 factoring 27640156877293484295814034524276276944847217684463799930421469631616775161805895784254964655651196594092311472956187027626192749561558107831949354705119341049752550101058232271713380989321 (188 digits) Tue May 19 06:40:48 2026 no P-1/P+1/ECM available, skipping Tue May 19 06:40:48 2026 commencing number field sieve (188-digit input) Tue May 19 06:40:48 2026 R0: 3408709662526076908737826504426417212 Tue May 19 06:40:48 2026 R1: -74927849822782248068753 Tue May 19 06:40:48 2026 A0: -2520760563043151977331371705817610322787760 Tue May 19 06:40:48 2026 A1: 13785559014436825459944516602743031026 Tue May 19 06:40:48 2026 A2: -2468585291552501496689534667687 Tue May 19 06:40:48 2026 A3: -24887593584079435199425 Tue May 19 06:40:48 2026 A4: 772687616911536 Tue May 19 06:40:48 2026 A5: 1441440 Tue May 19 06:40:48 2026 skew 52564349.44, size 3.282e-18, alpha -8.787, combined = 3.667e-14 rroots = 5 Tue May 19 06:40:48 2026 Tue May 19 06:40:48 2026 commencing relation filtering Tue May 19 06:40:48 2026 setting 3 target densities:Tue May 19 06:40:48 2026 80Tue May 19 06:40:48 2026 100Tue May 19 06:40:48 2026 120Tue May 19 06:40:48 2026 Tue May 19 06:40:48 2026 estimated available RAM is 78540.1 MB Tue May 19 06:40:48 2026 commencing duplicate removal, pass 1 Tue May 19 06:41:01 2026 error -1 reading relation 4213253 Tue May 19 06:41:26 2026 error -1 reading relation 14714846 Tue May 19 06:41:28 2026 error -1 reading relation 15122309 Tue May 19 06:41:48 2026 error -1 reading relation 24397304 Tue May 19 06:41:49 2026 error -1 reading relation 24843237 Tue May 19 06:41:59 2026 error -1 reading relation 29260538 Tue May 19 06:42:04 2026 error -1 reading relation 32034785 Tue May 19 06:42:04 2026 error -1 reading relation 32191393 Tue May 19 06:42:13 2026 error -1 reading relation 37353395 Tue May 19 06:42:15 2026 error -1 reading relation 38482495 Tue May 19 06:42:22 2026 error -1 reading relation 43587215 Tue May 19 06:42:22 2026 error -1 reading relation 43658445 Tue May 19 06:42:37 2026 error -1 reading relation 49703985 Tue May 19 06:42:38 2026 error -1 reading relation 50278177 Tue May 19 06:42:41 2026 error -1 reading relation 51341343 Tue May 19 06:42:45 2026 error -1 reading relation 52677677 Tue May 19 06:42:49 2026 error -1 reading relation 54620591 Tue May 19 06:42:55 2026 error -1 reading relation 57218443 Tue May 19 06:42:58 2026 error -1 reading relation 58541632 Tue May 19 06:44:07 2026 error -1 reading relation 87501819 Tue May 19 06:44:07 2026 error -1 reading relation 87514338 Tue May 19 06:44:24 2026 error -1 reading relation 95241124 Tue May 19 06:44:47 2026 error -1 reading relation 105434883 Tue May 19 06:44:49 2026 error -1 reading relation 106468824 Tue May 19 06:44:50 2026 error -1 reading relation 107126556 Tue May 19 06:45:00 2026 error -1 reading relation 111583737 Tue May 19 06:45:04 2026 error -1 reading relation 113231363 Tue May 19 06:45:16 2026 error -1 reading relation 118542245 Tue May 19 06:45:17 2026 error -1 reading relation 119135494 Tue May 19 06:45:18 2026 error -1 reading relation 119350896 Tue May 19 06:45:26 2026 error -1 reading relation 123313685 Tue May 19 06:45:27 2026 error -1 reading relation 123540409 Tue May 19 06:45:51 2026 error -1 reading relation 134649331 Tue May 19 06:45:52 2026 error -1 reading relation 135077051 Tue May 19 06:46:17 2026 error -1 reading relation 146224801 Tue May 19 06:46:51 2026 error -1 reading relation 161573770 Tue May 19 06:46:52 2026 error -1 reading relation 162063271 Tue May 19 06:46:55 2026 error -1 reading relation 163551695 Tue May 19 06:46:57 2026 error -1 reading relation 164391680 Tue May 19 06:47:05 2026 error -1 reading relation 164888083 Tue May 19 06:47:03 2026 error -1 reading relation 167089497 Tue May 19 06:47:25 2026 error -1 reading relation 175419502 Tue May 19 06:47:30 2026 error -1 reading relation 177293987 Tue May 19 06:47:39 2026 error -1 reading relation 180409758 Tue May 19 06:48:49 2026 error -1 reading relation 205022135 Tue May 19 06:49:40 2026 error -1 reading relation 221337925 Tue May 19 06:49:46 2026 error -1 reading relation 223254498 Tue May 19 06:50:10 2026 error -1 reading relation 230732431 Tue May 19 06:50:18 2026 error -1 reading relation 233132344 Tue May 19 06:50:43 2026 error -1 reading relation 241054512 Tue May 19 06:50:44 2026 error -1 reading relation 241647904 Tue May 19 06:50:46 2026 error -1 reading relation 242215868 Tue May 19 06:50:59 2026 error -1 reading relation 246524387 Tue May 19 06:51:08 2026 error -1 reading relation 248941135 Tue May 19 06:51:17 2026 error -1 reading relation 251916164 Tue May 19 06:51:25 2026 error -1 reading relation 252373958 Tue May 19 06:51:20 2026 error -1 reading relation 252944709 Tue May 19 06:51:26 2026 error -1 reading relation 254828747 Tue May 19 06:51:54 2026 error -1 reading relation 263964578 Tue May 19 06:51:56 2026 error -1 reading relation 264492268 Tue May 19 06:52:00 2026 error -1 reading relation 265898100 Tue May 19 06:52:01 2026 error -1 reading relation 266329869 Tue May 19 06:52:46 2026 error -1 reading relation 279968652 Tue May 19 06:53:00 2026 error -15 reading relation 283937967 Tue May 19 06:53:00 2026 error -1 reading relation 283937968 Tue May 19 06:54:10 2026 error -1 reading relation 304900172 Tue May 19 06:55:17 2026 error -1 reading relation 325907143 Tue May 19 06:55:38 2026 error -1 reading relation 332609582 Tue May 19 06:55:43 2026 error -1 reading relation 333981864 Tue May 19 06:56:03 2026 error -1 reading relation 340604247 Tue May 19 06:56:35 2026 error -1 reading relation 350483822 Tue May 19 06:57:06 2026 error -1 reading relation 359767882 Tue May 19 06:57:13 2026 error -1 reading relation 361694839 Tue May 19 06:57:22 2026 error -1 reading relation 364120417 Tue May 19 06:57:46 2026 error -1 reading relation 374743513 Tue May 19 06:58:01 2026 error -1 reading relation 380217154 Tue May 19 06:58:09 2026 error -1 reading relation 382691362 Tue May 19 06:58:29 2026 error -1 reading relation 389639095 Tue May 19 06:58:30 2026 error -1 reading relation 389887676 Tue May 19 06:59:18 2026 error -1 reading relation 405194712 Tue May 19 06:59:26 2026 error -1 reading relation 407975037 Tue May 19 06:59:26 2026 error -1 reading relation 408097582 Tue May 19 06:59:41 2026 error -1 reading relation 412718303 Tue May 19 07:00:51 2026 error -1 reading relation 437791395 Tue May 19 07:00:53 2026 error -1 reading relation 438770563 Tue May 19 07:00:54 2026 error -1 reading relation 438974678 Tue May 19 07:00:54 2026 error -1 reading relation 439021319 Tue May 19 07:01:03 2026 error -1 reading relation 441980783 Tue May 19 07:01:05 2026 error -1 reading relation 442689599 Tue May 19 07:01:10 2026 error -1 reading relation 444390884 Tue May 19 07:01:50 2026 error -1 reading relation 460683875 Tue May 19 07:01:55 2026 error -1 reading relation 463054680 Tue May 19 07:01:57 2026 error -1 reading relation 463620054 Tue May 19 07:01:57 2026 error -1 reading relation 463620378 Tue May 19 07:01:57 2026 error -1 reading relation 463623321 Tue May 19 07:01:57 2026 error -1 reading relation 463623960 Tue May 19 07:01:57 2026 error -1 reading relation 463625559 Tue May 19 07:01:57 2026 error -1 reading relation 463626198 Tue May 19 07:01:57 2026 error -1 reading relation 463626837 Tue May 19 07:01:57 2026 error -1 reading relation 463627390 Tue May 19 07:01:57 2026 error -1 reading relation 463628686 Tue May 19 07:01:57 2026 error -1 reading relation 463630226 Tue May 19 07:01:57 2026 error -1 reading relation 463634883 Tue May 19 07:01:57 2026 error -1 reading relation 463635314 Tue May 19 07:01:57 2026 error -1 reading relation 463635724 Tue May 19 07:01:57 2026 error -1 reading relation 463636720 Tue May 19 07:01:57 2026 error -1 reading relation 463637130 Tue May 19 07:01:57 2026 error -1 reading relation 463638670 Tue May 19 07:01:57 2026 error -1 reading relation 463638851 Tue May 19 07:02:03 2026 error -1 reading relation 466423520 Tue May 19 07:02:28 2026 error -1 reading relation 476438343 Tue May 19 07:02:28 2026 error -1 reading relation 476441077 Tue May 19 07:02:30 2026 error -1 reading relation 477253318 Tue May 19 07:02:30 2026 error -1 reading relation 477511519 Tue May 19 07:02:31 2026 error -1 reading relation 477923454 Tue May 19 07:02:33 2026 error -1 reading relation 478940919 Tue May 19 07:02:33 2026 error -1 reading relation 478954243 Tue May 19 07:03:10 2026 error -1 reading relation 495220232 Tue May 19 07:03:17 2026 error -1 reading relation 497936717 Tue May 19 07:03:18 2026 error -1 reading relation 498316897 Tue May 19 07:03:18 2026 error -1 reading relation 498385205 Tue May 19 07:03:35 2026 error -1 reading relation 504000036 Tue May 19 07:03:35 2026 error -1 reading relation 504000848 Tue May 19 07:03:35 2026 error -1 reading relation 504004049 Tue May 19 07:03:35 2026 error -1 reading relation 504004473 Tue May 19 07:03:35 2026 error -1 reading relation 504005888 Tue May 19 07:03:35 2026 error -1 reading relation 504006067 Tue May 19 07:03:35 2026 error -1 reading relation 504007512 Tue May 19 07:03:35 2026 error -1 reading relation 504008550 Tue May 19 07:03:35 2026 error -1 reading relation 504008974 Tue May 19 07:03:35 2026 error -1 reading relation 504013668 Tue May 19 07:03:35 2026 error -1 reading relation 504013847 Tue May 19 07:03:35 2026 error -1 reading relation 504015119 Tue May 19 07:03:35 2026 error -1 reading relation 504015543 Tue May 19 07:03:35 2026 error -1 reading relation 504018081 Tue May 19 07:03:35 2026 error -1 reading relation 504021467 Tue May 19 07:03:35 2026 error -1 reading relation 504023025 Tue May 19 07:03:35 2026 error -1 reading relation 504023592 Tue May 19 07:03:47 2026 error -1 reading relation 508666964 Tue May 19 07:03:56 2026 error -15 reading relation 512182329 Tue May 19 07:05:26 2026 error -1 reading relation 549900266 Tue May 19 07:05:26 2026 error -1 reading relation 549945758 Tue May 19 07:05:28 2026 error -1 reading relation 550742651 Tue May 19 07:05:31 2026 error -1 reading relation 551754312 Tue May 19 07:08:21 2026 error -1 reading relation 600626829 Tue May 19 07:08:23 2026 error -1 reading relation 601142484 Tue May 19 07:08:31 2026 error -1 reading relation 603309316 Tue May 19 07:08:47 2026 error -1 reading relation 610184186 Tue May 19 07:10:43 2026 error -1 reading relation 644155336 Tue May 19 07:10:43 2026 error -1 reading relation 644282346 Tue May 19 07:10:44 2026 error -1 reading relation 644468057 Tue May 19 07:10:45 2026 error -1 reading relation 644721584 Tue May 19 07:10:45 2026 error -1 reading relation 644803595 Tue May 19 07:10:48 2026 error -1 reading relation 645831218 Tue May 19 07:11:15 2026 error -1 reading relation 654403529 Tue May 19 07:11:21 2026 error -1 reading relation 656570175 Tue May 19 07:14:02 2026 skipped 1 relations with composite factors Tue May 19 07:14:02 2026 skipped 780 malformed relations Tue May 19 07:14:02 2026 found 159546819 hash collisions in 698381235 relations Tue May 19 07:14:17 2026 added 121675 free relations Tue May 19 07:14:17 2026 commencing duplicate removal, pass 2 Tue May 19 07:32:49 2026 found 176168224 duplicates and 522334686 unique relations Tue May 19 07:32:49 2026 memory use: 5286.0 MB Tue May 19 07:32:49 2026 reading ideals above 297205760 Tue May 19 07:32:49 2026 commencing singleton removal, initial pass Tue May 19 08:16:06 2026 memory use: 11024.0 MB Tue May 19 08:16:06 2026 reading all ideals from disk Tue May 19 08:18:22 2026 memory use: 13630.8 MB Tue May 19 08:20:13 2026 commencing in-memory singleton removal Tue May 19 08:20:18 2026 begin with 522334686 relations and 453246042 unique ideals Tue May 19 08:20:58 2026 reduce to 327874870 relations and 238739211 ideals in 14 passes Tue May 19 08:20:58 2026 max relations containing the same ideal: 30 Tue May 19 08:21:06 2026 reading ideals above 720000 Tue May 19 08:21:07 2026 commencing singleton removal, initial pass Tue May 19 08:58:26 2026 memory use: 6024.0 MB Tue May 19 08:58:27 2026 reading all ideals from disk Tue May 19 09:03:33 2026 memory use: 16220.0 MB Tue May 19 09:04:46 2026 keeping 269286779 ideals with weight <= 200, target excess is 1666467 Tue May 19 09:05:13 2026 commencing in-memory singleton removal Tue May 19 09:05:17 2026 begin with 327874870 relations and 269286779 unique ideals Tue May 19 09:05:43 2026 reduce to 327867091 relations and 269279000 ideals in 7 passes Tue May 19 09:05:43 2026 max relations containing the same ideal: 200 Tue May 19 09:07:16 2026 removing 14562807 relations and 12562807 ideals in 2000000 cliques Tue May 19 09:07:22 2026 commencing in-memory singleton removal Tue May 19 09:07:33 2026 begin with 313304284 relations and 269279000 unique ideals Tue May 19 09:07:47 2026 reduce to 312811720 relations and 256219389 ideals in 9 passes Tue May 19 09:07:47 2026 max relations containing the same ideal: 200 Tue May 19 09:09:10 2026 removing 10961010 relations and 8961010 ideals in 2000000 cliques Tue May 19 09:09:15 2026 commencing in-memory singleton removal Tue May 19 09:09:19 2026 begin with 301850710 relations and 256219389 unique ideals Tue May 19 09:09:36 2026 reduce to 301537568 relations and 246943024 ideals in 7 passes Tue May 19 09:09:36 2026 max relations containing the same ideal: 198 Tue May 19 09:10:54 2026 removing 9816801 relations and 7816801 ideals in 2000000 cliques Tue May 19 09:10:59 2026 commencing in-memory singleton removal Tue May 19 09:11:03 2026 begin with 291720767 relations and 246943024 unique ideals Tue May 19 09:11:21 2026 reduce to 291456424 relations and 238860108 ideals in 8 passes Tue May 19 09:11:21 2026 max relations containing the same ideal: 195 Tue May 19 09:12:39 2026 removing 9177595 relations and 7177595 ideals in 2000000 cliques Tue May 19 09:12:43 2026 commencing in-memory singleton removal Tue May 19 09:12:47 2026 begin with 282278829 relations and 238860108 unique ideals Tue May 19 09:13:02 2026 reduce to 282039563 relations and 231441675 ideals in 7 passes Tue May 19 09:13:02 2026 max relations containing the same ideal: 191 Tue May 19 09:14:18 2026 removing 8751658 relations and 6751658 ideals in 2000000 cliques Tue May 19 09:14:24 2026 commencing in-memory singleton removal Tue May 19 09:14:27 2026 begin with 273287905 relations and 231441675 unique ideals Tue May 19 09:14:42 2026 reduce to 273062530 relations and 224463127 ideals in 7 passes Tue May 19 09:14:42 2026 max relations containing the same ideal: 189 Tue May 19 09:16:00 2026 removing 8448170 relations and 6448170 ideals in 2000000 cliques Tue May 19 09:16:04 2026 commencing in-memory singleton removal Tue May 19 09:16:07 2026 begin with 264614360 relations and 224463127 unique ideals Tue May 19 09:16:24 2026 reduce to 264396694 relations and 217795767 ideals in 7 passes Tue May 19 09:16:24 2026 max relations containing the same ideal: 186 Tue May 19 09:17:42 2026 removing 8216024 relations and 6216024 ideals in 2000000 cliques Tue May 19 09:17:46 2026 commencing in-memory singleton removal Tue May 19 09:17:49 2026 begin with 256180670 relations and 217795767 unique ideals Tue May 19 09:18:06 2026 reduce to 255969150 relations and 211366639 ideals in 8 passes Tue May 19 09:18:06 2026 max relations containing the same ideal: 182 Tue May 19 09:19:19 2026 removing 8041135 relations and 6041135 ideals in 2000000 cliques Tue May 19 09:19:22 2026 commencing in-memory singleton removal Tue May 19 09:19:26 2026 begin with 247928015 relations and 211366639 unique ideals Tue May 19 09:19:40 2026 reduce to 247718167 relations and 205114133 ideals in 7 passes Tue May 19 09:19:40 2026 max relations containing the same ideal: 179 Tue May 19 09:20:53 2026 removing 7896114 relations and 5896114 ideals in 2000000 cliques Tue May 19 09:20:57 2026 commencing in-memory singleton removal Tue May 19 09:21:00 2026 begin with 239822053 relations and 205114133 unique ideals Tue May 19 09:21:15 2026 reduce to 239614215 relations and 199008507 ideals in 7 passes Tue May 19 09:21:15 2026 max relations containing the same ideal: 176 Tue May 19 09:22:24 2026 removing 7787635 relations and 5787635 ideals in 2000000 cliques Tue May 19 09:22:27 2026 commencing in-memory singleton removal Tue May 19 09:22:31 2026 begin with 231826580 relations and 199008507 unique ideals Tue May 19 09:22:45 2026 reduce to 231618115 relations and 193010800 ideals in 7 passes Tue May 19 09:22:45 2026 max relations containing the same ideal: 170 Tue May 19 09:23:53 2026 removing 7695580 relations and 5695580 ideals in 2000000 cliques Tue May 19 09:23:57 2026 commencing in-memory singleton removal Tue May 19 09:24:00 2026 begin with 223922535 relations and 193010800 unique ideals Tue May 19 09:24:13 2026 reduce to 223712507 relations and 187103461 ideals in 7 passes Tue May 19 09:24:13 2026 max relations containing the same ideal: 166 Tue May 19 09:25:18 2026 removing 7626507 relations and 5626507 ideals in 2000000 cliques Tue May 19 09:25:21 2026 commencing in-memory singleton removal Tue May 19 09:25:24 2026 begin with 216086000 relations and 187103461 unique ideals Tue May 19 09:25:37 2026 reduce to 215871992 relations and 181261179 ideals in 7 passes Tue May 19 09:25:37 2026 max relations containing the same ideal: 164 Tue May 19 09:26:38 2026 removing 7575101 relations and 5575101 ideals in 2000000 cliques Tue May 19 09:26:41 2026 commencing in-memory singleton removal Tue May 19 09:26:44 2026 begin with 208296891 relations and 181261179 unique ideals Tue May 19 09:26:55 2026 reduce to 208080317 relations and 175467638 ideals in 7 passes Tue May 19 09:26:55 2026 max relations containing the same ideal: 161 Tue May 19 09:27:53 2026 removing 7528582 relations and 5528582 ideals in 2000000 cliques Tue May 19 09:27:57 2026 commencing in-memory singleton removal Tue May 19 09:27:59 2026 begin with 200551735 relations and 175467638 unique ideals Tue May 19 09:28:11 2026 reduce to 200328437 relations and 169713737 ideals in 7 passes Tue May 19 09:28:11 2026 max relations containing the same ideal: 158 Tue May 19 09:29:11 2026 removing 7504315 relations and 5504315 ideals in 2000000 cliques Tue May 19 09:29:14 2026 commencing in-memory singleton removal Tue May 19 09:29:16 2026 begin with 192824122 relations and 169713737 unique ideals Tue May 19 09:29:27 2026 reduce to 192595064 relations and 163978223 ideals in 7 passes Tue May 19 09:29:27 2026 max relations containing the same ideal: 153 Tue May 19 09:30:21 2026 removing 7485198 relations and 5485198 ideals in 2000000 cliques Tue May 19 09:30:24 2026 commencing in-memory singleton removal Tue May 19 09:30:26 2026 begin with 185109866 relations and 163978223 unique ideals Tue May 19 09:30:36 2026 reduce to 184873790 relations and 158254695 ideals in 7 passes Tue May 19 09:30:36 2026 max relations containing the same ideal: 149 Tue May 19 09:31:30 2026 removing 7478009 relations and 5478009 ideals in 2000000 cliques Tue May 19 09:31:33 2026 commencing in-memory singleton removal Tue May 19 09:31:35 2026 begin with 177395781 relations and 158254695 unique ideals Tue May 19 09:31:46 2026 reduce to 177151486 relations and 152529976 ideals in 8 passes Tue May 19 09:31:46 2026 max relations containing the same ideal: 144 Tue May 19 09:32:40 2026 removing 7478231 relations and 5478231 ideals in 2000000 cliques Tue May 19 09:32:43 2026 commencing in-memory singleton removal Tue May 19 09:32:45 2026 begin with 169673255 relations and 152529976 unique ideals Tue May 19 09:32:54 2026 reduce to 169418104 relations and 146793871 ideals in 7 passes Tue May 19 09:32:54 2026 max relations containing the same ideal: 140 Tue May 19 09:33:43 2026 removing 7488159 relations and 5488159 ideals in 2000000 cliques Tue May 19 09:33:46 2026 commencing in-memory singleton removal Tue May 19 09:33:48 2026 begin with 161929945 relations and 146793871 unique ideals Tue May 19 09:33:57 2026 reduce to 161662639 relations and 141035462 ideals in 7 passes Tue May 19 09:33:57 2026 max relations containing the same ideal: 135 Tue May 19 09:34:45 2026 removing 7512929 relations and 5512929 ideals in 2000000 cliques Tue May 19 09:34:48 2026 commencing in-memory singleton removal Tue May 19 09:34:50 2026 begin with 154149710 relations and 141035462 unique ideals Tue May 19 09:34:59 2026 reduce to 153868644 relations and 135238281 ideals in 8 passes Tue May 19 09:34:59 2026 max relations containing the same ideal: 132 Tue May 19 09:35:44 2026 removing 7547408 relations and 5547408 ideals in 2000000 cliques Tue May 19 09:35:47 2026 commencing in-memory singleton removal Tue May 19 09:35:49 2026 begin with 146321236 relations and 135238281 unique ideals Tue May 19 09:35:56 2026 reduce to 146023908 relations and 129389949 ideals in 7 passes Tue May 19 09:35:56 2026 max relations containing the same ideal: 126 Tue May 19 09:36:40 2026 removing 7589819 relations and 5589819 ideals in 2000000 cliques Tue May 19 09:36:43 2026 commencing in-memory singleton removal Tue May 19 09:36:44 2026 begin with 138434089 relations and 129389949 unique ideals Tue May 19 09:36:52 2026 reduce to 138116694 relations and 123478743 ideals in 8 passes Tue May 19 09:36:52 2026 max relations containing the same ideal: 120 Tue May 19 09:37:32 2026 removing 7648427 relations and 5648427 ideals in 2000000 cliques Tue May 19 09:37:34 2026 commencing in-memory singleton removal Tue May 19 09:37:35 2026 begin with 130468267 relations and 123478743 unique ideals Tue May 19 09:37:42 2026 reduce to 130127026 relations and 117484701 ideals in 8 passes Tue May 19 09:37:42 2026 max relations containing the same ideal: 118 Tue May 19 09:38:20 2026 removing 7722453 relations and 5722453 ideals in 2000000 cliques Tue May 19 09:38:22 2026 commencing in-memory singleton removal Tue May 19 09:38:24 2026 begin with 122404573 relations and 117484701 unique ideals Tue May 19 09:38:30 2026 reduce to 122034901 relations and 111387509 ideals in 7 passes Tue May 19 09:38:30 2026 max relations containing the same ideal: 114 Tue May 19 09:39:06 2026 removing 7814899 relations and 5814899 ideals in 2000000 cliques Tue May 19 09:39:08 2026 commencing in-memory singleton removal Tue May 19 09:39:09 2026 begin with 114220002 relations and 111387509 unique ideals Tue May 19 09:39:15 2026 reduce to 113816007 relations and 105162801 ideals in 8 passes Tue May 19 09:39:15 2026 max relations containing the same ideal: 113 Tue May 19 09:39:48 2026 removing 7926331 relations and 5926331 ideals in 2000000 cliques Tue May 19 09:39:50 2026 commencing in-memory singleton removal Tue May 19 09:39:51 2026 begin with 105889676 relations and 105162801 unique ideals Tue May 19 09:39:57 2026 reduce to 105440441 relations and 98780450 ideals in 8 passes Tue May 19 09:39:57 2026 max relations containing the same ideal: 109 Tue May 19 09:40:27 2026 removing 8060346 relations and 6060346 ideals in 2000000 cliques Tue May 19 09:40:29 2026 commencing in-memory singleton removal Tue May 19 09:40:30 2026 begin with 97380095 relations and 98780450 unique ideals Tue May 19 09:40:35 2026 reduce to 96874685 relations and 92206445 ideals in 8 passes Tue May 19 09:40:35 2026 max relations containing the same ideal: 102 Tue May 19 09:41:11 2026 removing 8226320 relations and 6226320 ideals in 2000000 cliques Tue May 19 09:41:06 2026 commencing in-memory singleton removal Tue May 19 09:41:07 2026 begin with 88648365 relations and 92206445 unique ideals Tue May 19 09:41:12 2026 reduce to 88068948 relations and 85390616 ideals in 8 passes Tue May 19 09:41:12 2026 max relations containing the same ideal: 93 Tue May 19 09:41:38 2026 removing 3835589 relations and 3090359 ideals in 745230 cliques Tue May 19 09:41:39 2026 commencing in-memory singleton removal Tue May 19 09:41:40 2026 begin with 84233359 relations and 85390616 unique ideals Tue May 19 09:41:44 2026 reduce to 84107925 relations and 82173984 ideals in 7 passes Tue May 19 09:41:44 2026 max relations containing the same ideal: 89 Tue May 19 09:42:11 2026 trying target density 80 Tue May 19 09:42:17 2026 relations with 0 large ideals: 6081 Tue May 19 09:42:17 2026 relations with 1 large ideals: 30230 Tue May 19 09:42:17 2026 relations with 2 large ideals: 447506 Tue May 19 09:42:17 2026 relations with 3 large ideals: 2790640 Tue May 19 09:42:17 2026 relations with 4 large ideals: 9367050 Tue May 19 09:42:17 2026 relations with 5 large ideals: 18682654 Tue May 19 09:42:17 2026 relations with 6 large ideals: 23179757 Tue May 19 09:42:17 2026 relations with 7+ large ideals: 29604007 Tue May 19 09:42:17 2026 commencing 2-way merge Tue May 19 09:42:55 2026 reduce to 51719709 relation sets and 49785768 unique ideals Tue May 19 09:42:55 2026 commencing full merge Tue May 19 09:52:05 2026 memory use: 5656.8 MB Tue May 19 09:52:10 2026 found 26782087 cycles, need 26515968 Tue May 19 09:52:16 2026 weight of 26515968 cycles is about 2121365930 (80.00/cycle) Tue May 19 09:52:17 2026 distribution of cycle lengths: Tue May 19 09:52:17 2026 1 relations: 3164768 Tue May 19 09:52:17 2026 2 relations: 2917272 Tue May 19 09:52:17 2026 3 relations: 2946384 Tue May 19 09:52:17 2026 4 relations: 2814631 Tue May 19 09:52:17 2026 5 relations: 2711638 Tue May 19 09:52:17 2026 6 relations: 2460208 Tue May 19 09:52:17 2026 7 relations: 2210779 Tue May 19 09:52:17 2026 8 relations: 1885359 Tue May 19 09:52:17 2026 9 relations: 1537968 Tue May 19 09:52:17 2026 10+ relations: 3866961 Tue May 19 09:52:17 2026 heaviest cycle: 19 relations Tue May 19 09:52:21 2026 commencing cycle optimization Tue May 19 09:53:02 2026 start with 147074096 relations Tue May 19 09:55:26 2026 pruned 3429930 relations Tue May 19 09:55:29 2026 memory use: 4945.5 MB Tue May 19 09:55:29 2026 distribution of cycle lengths: Tue May 19 09:55:29 2026 1 relations: 3164768 Tue May 19 09:55:29 2026 2 relations: 2980460 Tue May 19 09:55:29 2026 3 relations: 3044076 Tue May 19 09:55:29 2026 4 relations: 2885115 Tue May 19 09:55:29 2026 5 relations: 2782972 Tue May 19 09:55:29 2026 6 relations: 2510238 Tue May 19 09:55:29 2026 7 relations: 2245381 Tue May 19 09:55:29 2026 8 relations: 1890313 Tue May 19 09:55:29 2026 9 relations: 1521262 Tue May 19 09:55:29 2026 10+ relations: 3491383 Tue May 19 09:55:29 2026 heaviest cycle: 19 relations Tue May 19 09:56:10 2026 trying target density 100 Tue May 19 09:56:15 2026 relations with 0 large ideals: 6081 Tue May 19 09:56:15 2026 relations with 1 large ideals: 30230 Tue May 19 09:56:15 2026 relations with 2 large ideals: 447506 Tue May 19 09:56:15 2026 relations with 3 large ideals: 2790640 Tue May 19 09:56:15 2026 relations with 4 large ideals: 9367050 Tue May 19 09:56:15 2026 relations with 5 large ideals: 18682654 Tue May 19 09:56:15 2026 relations with 6 large ideals: 23179757 Tue May 19 09:56:15 2026 relations with 7+ large ideals: 29604007 Tue May 19 09:56:15 2026 commencing 2-way merge Tue May 19 09:56:58 2026 reduce to 51719709 relation sets and 49785768 unique ideals Tue May 19 09:56:58 2026 commencing full merge Tue May 19 10:09:11 2026 memory use: 5811.5 MB Tue May 19 10:09:16 2026 found 24658161 cycles, need 24405968 Tue May 19 10:09:23 2026 weight of 24405968 cycles is about 2440727097 (100.01/cycle) Tue May 19 10:09:23 2026 distribution of cycle lengths: Tue May 19 10:09:23 2026 1 relations: 2240394 Tue May 19 10:09:23 2026 2 relations: 2070172 Tue May 19 10:09:23 2026 3 relations: 2160524 Tue May 19 10:09:23 2026 4 relations: 2090884 Tue May 19 10:09:23 2026 5 relations: 2093127 Tue May 19 10:09:23 2026 6 relations: 2022203 Tue May 19 10:09:23 2026 7 relations: 1909754 Tue May 19 10:09:23 2026 8 relations: 1746923 Tue May 19 10:09:23 2026 9 relations: 1578953 Tue May 19 10:09:23 2026 10+ relations: 6493034 Tue May 19 10:09:23 2026 heaviest cycle: 23 relations Tue May 19 10:09:28 2026 commencing cycle optimization Tue May 19 10:10:05 2026 start with 168720407 relations Tue May 19 10:13:49 2026 pruned 5304443 relations Tue May 19 10:13:52 2026 memory use: 5170.7 MB Tue May 19 10:13:52 2026 distribution of cycle lengths: Tue May 19 10:13:52 2026 1 relations: 2240394 Tue May 19 10:13:52 2026 2 relations: 2121077 Tue May 19 10:13:52 2026 3 relations: 2240093 Tue May 19 10:13:52 2026 4 relations: 2158861 Tue May 19 10:13:52 2026 5 relations: 2170262 Tue May 19 10:13:52 2026 6 relations: 2086634 Tue May 19 10:13:52 2026 7 relations: 1970695 Tue May 19 10:13:52 2026 8 relations: 1790945 Tue May 19 10:13:52 2026 9 relations: 1609064 Tue May 19 10:13:52 2026 10+ relations: 6017943 Tue May 19 10:13:52 2026 heaviest cycle: 23 relations Tue May 19 10:14:26 2026 trying target density 120 Tue May 19 10:14:32 2026 relations with 0 large ideals: 6081 Tue May 19 10:14:32 2026 relations with 1 large ideals: 30230 Tue May 19 10:14:32 2026 relations with 2 large ideals: 447506 Tue May 19 10:14:32 2026 relations with 3 large ideals: 2790640 Tue May 19 10:14:32 2026 relations with 4 large ideals: 9367050 Tue May 19 10:14:32 2026 relations with 5 large ideals: 18682654 Tue May 19 10:14:32 2026 relations with 6 large ideals: 23179757 Tue May 19 10:14:32 2026 relations with 7+ large ideals: 29604007 Tue May 19 10:14:32 2026 commencing 2-way merge Tue May 19 10:15:09 2026 reduce to 51719709 relation sets and 49785768 unique ideals Tue May 19 10:15:09 2026 commencing full merge Tue May 19 10:29:32 2026 memory use: 5937.8 MB Tue May 19 10:29:37 2026 found 23117325 cycles, need 22939968 Tue May 19 10:29:43 2026 weight of 22939968 cycles is about 2753561503 (120.03/cycle) Tue May 19 10:29:43 2026 distribution of cycle lengths: Tue May 19 10:29:43 2026 1 relations: 1679404 Tue May 19 10:29:43 2026 2 relations: 1594725 Tue May 19 10:29:43 2026 3 relations: 1660787 Tue May 19 10:29:43 2026 4 relations: 1652834 Tue May 19 10:29:43 2026 5 relations: 1665804 Tue May 19 10:29:43 2026 6 relations: 1653387 Tue May 19 10:29:43 2026 7 relations: 1592195 Tue May 19 10:29:43 2026 8 relations: 1536604 Tue May 19 10:29:43 2026 9 relations: 1446266 Tue May 19 10:29:43 2026 10+ relations: 8457962 Tue May 19 10:29:43 2026 heaviest cycle: 28 relations Tue May 19 10:29:47 2026 commencing cycle optimization Tue May 19 10:30:28 2026 start with 189641680 relations Tue May 19 10:35:59 2026 pruned 7284951 relations Tue May 19 10:35:59 2026 memory use: 5382.3 MB Tue May 19 10:35:59 2026 distribution of cycle lengths: Tue May 19 10:35:59 2026 1 relations: 1679404 Tue May 19 10:35:59 2026 2 relations: 1635191 Tue May 19 10:35:59 2026 3 relations: 1725407 Tue May 19 10:35:59 2026 4 relations: 1712097 Tue May 19 10:35:59 2026 5 relations: 1736854 Tue May 19 10:35:59 2026 6 relations: 1718409 Tue May 19 10:35:59 2026 7 relations: 1662584 Tue May 19 10:35:59 2026 8 relations: 1594762 Tue May 19 10:35:59 2026 9 relations: 1497882 Tue May 19 10:35:59 2026 10+ relations: 7977378 Tue May 19 10:35:59 2026 heaviest cycle: 28 relations Tue May 19 10:36:33 2026 RelProcTime: 14145 Tue May 19 10:36:38 2026 Tue May 19 10:36:38 2026 commencing linear algebra Tue May 19 10:36:38 2026 using VBITS=256 Tue May 19 10:36:38 2026 building matrices for all densities Tue May 19 10:36:38 2026 found 3 density files Tue May 19 10:36:38 2026 building matrix for density 80 Tue May 19 10:36:47 2026 read 26515968 cycles Tue May 19 10:37:24 2026 cycles contain 82921617 unique relations Tue May 19 10:51:16 2026 read 82921617 relations Tue May 19 10:51:44 2026 using 20 quadratic characters above 4294917295 Tue May 19 10:52:03 2026 building initial matrix Tue May 19 11:03:05 2026 memory use: 11430.8 MB Tue May 19 11:03:21 2026 read 26515968 cycles Tue May 19 11:03:24 2026 matrix is 26515787 x 26515968 (9038.4 MB) with weight 2808327835 (105.91/col) Tue May 19 11:03:24 2026 sparse part has weight 2051179538 (77.36/col) Tue May 19 11:06:27 2026 filtering completed in 2 passes Tue May 19 11:06:32 2026 matrix is 26506468 x 26506647 (9037.8 MB) with weight 2808009381 (105.94/col) Tue May 19 11:06:32 2026 sparse part has weight 2051113122 (77.38/col) Tue May 19 11:07:14 2026 building matrix for density 100 Tue May 19 11:07:18 2026 read 24405968 cycles Tue May 19 11:07:55 2026 cycles contain 82953153 unique relations Tue May 19 11:21:31 2026 read 82953153 relations Tue May 19 11:22:07 2026 using 20 quadratic characters above 4294917295 Tue May 19 11:22:27 2026 building initial matrix Tue May 19 11:35:29 2026 memory use: 11445.5 MB Tue May 19 11:36:15 2026 read 24405968 cycles Tue May 19 11:36:18 2026 matrix is 24405789 x 24405968 (9976.4 MB) with weight 3071430149 (125.85/col) Tue May 19 11:36:18 2026 sparse part has weight 2322394314 (95.16/col) Tue May 19 11:38:51 2026 filtering completed in 2 passes Tue May 19 11:38:56 2026 matrix is 24401562 x 24401738 (9976.1 MB) with weight 3071254889 (125.86/col) Tue May 19 11:38:56 2026 sparse part has weight 2322349402 (95.17/col) Tue May 19 11:39:34 2026 building matrix for density 120 Tue May 19 11:39:35 2026 read 22939968 cycles Tue May 19 11:40:09 2026 cycles contain 82963262 unique relations Tue May 19 11:52:50 2026 read 82963262 relations Tue May 19 11:53:18 2026 using 20 quadratic characters above 4294917295 Tue May 19 11:53:38 2026 building initial matrix Tue May 19 12:06:35 2026 memory use: 11474.2 MB Tue May 19 12:07:17 2026 read 22939968 cycles Tue May 19 12:07:20 2026 matrix is 22939791 x 22939968 (10901.0 MB) with weight 3327092993 (145.03/col) Tue May 19 12:07:20 2026 sparse part has weight 2582362421 (112.57/col) Tue May 19 12:10:27 2026 filtering completed in 2 passes Tue May 19 12:10:32 2026 matrix is 22938179 x 22938354 (10900.9 MB) with weight 3327015850 (145.04/col) Tue May 19 12:10:32 2026 sparse part has weight 2582339385 (112.58/col) Tue May 19 12:11:14 2026 BLanczosTime: 5676 Tue May 19 12:11:14 2026 elapsed time 05:30:26 Tue May 19 19:12:47 2026 Tue May 19 19:12:47 2026 Tue May 19 19:12:47 2026 Msieve v. 1.54 (SVN unknown) Tue May 19 19:12:47 2026 random seeds: 6b994ff2 807673fe Tue May 19 19:12:47 2026 factoring 27640156877293484295814034524276276944847217684463799930421469631616775161805895784254964655651196594092311472956187027626192749561558107831949354705119341049752550101058232271713380989321 (188 digits) Tue May 19 19:12:47 2026 no P-1/P+1/ECM available, skipping Tue May 19 19:12:47 2026 commencing number field sieve (188-digit input) Tue May 19 19:12:47 2026 R0: 3408709662526076908737826504426417212 Tue May 19 19:12:47 2026 R1: -74927849822782248068753 Tue May 19 19:12:47 2026 A0: -2520760563043151977331371705817610322787760 Tue May 19 19:12:47 2026 A1: 13785559014436825459944516602743031026 Tue May 19 19:12:47 2026 A2: -2468585291552501496689534667687 Tue May 19 19:12:47 2026 A3: -24887593584079435199425 Tue May 19 19:12:47 2026 A4: 772687616911536 Tue May 19 19:12:47 2026 A5: 1441440 Tue May 19 19:12:47 2026 skew 52564349.44, size 3.282e-18, alpha -8.787, combined = 3.667e-14 rroots = 5 Tue May 19 19:12:47 2026 Tue May 19 19:12:47 2026 commencing linear algebra Tue May 19 19:12:47 2026 using VBITS=64 Tue May 19 19:12:47 2026 skipping matrix build Tue May 19 19:12:56 2026 matrix starts at (0, 0) Tue May 19 19:13:03 2026 matrix is 22938179 x 22938354 (10900.9 MB) with weight 3327015850 (145.04/col) Tue May 19 19:13:03 2026 sparse part has weight 2582339385 (112.58/col) Tue May 19 19:13:03 2026 saving the first 48 matrix rows for later Tue May 19 19:13:06 2026 matrix includes 64 packed rows Tue May 19 19:13:08 2026 matrix is 22938131 x 22938354 (10661.1 MB) with weight 2865801361 (124.93/col) Tue May 19 19:13:08 2026 sparse part has weight 2565366986 (111.84/col) Tue May 19 19:13:09 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Tue May 19 19:13:09 2026 selected card has CUDA arch 12.0 Tue May 19 19:15:17 2026 commencing Lanczos iteration Tue May 19 19:15:18 2026 memory use: 21322.3 MB Tue May 19 19:15:50 2026 checking every 30000 dimensions, checkpointing every 2190000 dimensions Tue May 19 19:16:08 2026 linear algebra at 0.1%, ETA 10h28m Wed May 20 05:46:54 2026 lanczos halted after 362743 iterations (dim = 22938131) Wed May 20 05:47:02 2026 recovered 31 nontrivial dependencies Wed May 20 05:47:03 2026 BLanczosTime: 38056 Wed May 20 05:47:03 2026 elapsed time 10:34:16 Wed May 20 04:45:04 2026 Wed May 20 04:45:04 2026 Wed May 20 04:45:04 2026 Msieve v. 1.54 (SVN unknown) Wed May 20 04:45:04 2026 random seeds: e6ad1fbc e9a73e2a Wed May 20 04:45:04 2026 Using 12 OpenMP threads Wed May 20 04:45:04 2026 factoring 27640156877293484295814034524276276944847217684463799930421469631616775161805895784254964655651196594092311472956187027626192749561558107831949354705119341049752550101058232271713380989321 (188 digits) Wed May 20 04:45:05 2026 no P-1/P+1/ECM available, skipping Wed May 20 04:45:05 2026 commencing number field sieve (188-digit input) Wed May 20 04:45:05 2026 R0: 3408709662526076908737826504426417212 Wed May 20 04:45:05 2026 R1: -74927849822782248068753 Wed May 20 04:45:05 2026 A0: -2520760563043151977331371705817610322787760 Wed May 20 04:45:05 2026 A1: 13785559014436825459944516602743031026 Wed May 20 04:45:05 2026 A2: -2468585291552501496689534667687 Wed May 20 04:45:05 2026 A3: -24887593584079435199425 Wed May 20 04:45:05 2026 A4: 772687616911536 Wed May 20 04:45:05 2026 A5: 1441440 Wed May 20 04:45:05 2026 skew 52564349.44, size 3.282e-18, alpha -8.787, combined = 3.667e-14 rroots = 5 Wed May 20 04:45:05 2026 Wed May 20 04:45:05 2026 commencing square root phase Wed May 20 04:45:05 2026 reading relations for dependency 1 Wed May 20 04:45:19 2026 read 11471086 cycles Wed May 20 04:45:51 2026 cycles contain 41482274 unique relations Wed May 20 04:53:36 2026 read 41482274 relations Wed May 20 04:57:32 2026 multiplying 41482274 relations Wed May 20 05:04:46 2026 multiply complete, coefficients have about 2562.95 million bits Wed May 20 05:04:55 2026 initial square root is modulo 560213 Wed May 20 05:22:49 2026 GCD is N, no factor found Wed May 20 05:22:49 2026 reading relations for dependency 2 Wed May 20 05:22:53 2026 read 11469553 cycles Wed May 20 05:23:22 2026 cycles contain 41482502 unique relations Wed May 20 05:31:00 2026 read 41482502 relations Wed May 20 05:35:19 2026 multiplying 41482502 relations Wed May 20 05:42:32 2026 multiply complete, coefficients have about 2562.97 million bits Wed May 20 05:42:42 2026 initial square root is modulo 560393 Wed May 20 06:00:29 2026 sqrtTime: 4524 Wed May 20 06:00:29 2026 p75 factor: 738147512160870323175015157983192281347131357248147911481526616644634378499 Wed May 20 06:00:29 2026 p113 factor: 37445302492965181710704628078712274805859595462377365427450315718837711339222331498491145010221176810259089762179 Wed May 20 06:00:29 2026 elapsed time 01:15:25