Thu Aug 20 20:37:27 2026
Thu Aug 20 20:37:27 2026
Thu Aug 20 20:37:27 2026  Msieve v. 1.54 (SVN unknown)
Thu Aug 20 20:37:27 2026  random seeds: 1504728e 0f769c16
Thu Aug 20 20:37:27 2026  Using 14 OpenMP threads
Thu Aug 20 20:37:27 2026  factoring 91108818480178025196465965968916587290556188985715295570177349270611473429463839715197731713234760937152609432970135959601793326752199571697084563173874980197247850955589725337732814619369856442756895326286205990576761889511254621601028645533078087637 (251 digits)
Thu Aug 20 20:37:27 2026  no P-1/P+1/ECM available, skipping
Thu Aug 20 20:37:27 2026  commencing number field sieve (251-digit input)
Thu Aug 20 20:37:28 2026  R0: 18573177066341091649668772520265320958138649
Thu Aug 20 20:37:28 2026  R1: -1
Thu Aug 20 20:37:28 2026  A0: -21227
Thu Aug 20 20:37:28 2026  A1: 0
Thu Aug 20 20:37:28 2026  A2: 0
Thu Aug 20 20:37:28 2026  A3: 0
Thu Aug 20 20:37:28 2026  A4: 0
Thu Aug 20 20:37:28 2026  A5: 0
Thu Aug 20 20:37:28 2026  A6: 1
Thu Aug 20 20:37:28 2026  skew 6.78, size 2.813e-13, alpha 2.547, combined = 4.758e-14 rroots = 2
Thu Aug 20 20:37:28 2026
Thu Aug 20 20:37:28 2026  commencing relation filtering
Thu Aug 20 20:37:28 2026  setting 3 target densities:Thu Aug 20 20:37:28 2026   80Thu Aug 20 20:37:28 2026   100Thu Aug 20 20:37:28 2026   120Thu Aug 20 20:37:28 2026
Thu Aug 20 20:37:28 2026  estimated available RAM is 78540.1 MB
Thu Aug 20 20:37:28 2026  commencing duplicate removal, pass 1
Thu Aug 20 20:37:34 2026  error -1 reading relation 2854137
Thu Aug 20 20:38:05 2026  error -1 reading relation 15448046
Thu Aug 20 20:38:48 2026  error -5 reading relation 32490640
Thu Aug 20 20:39:34 2026  error -1 reading relation 70650717
Thu Aug 20 20:39:42 2026  error -1 reading relation 79792284
Thu Aug 20 20:39:53 2026  error -1 reading relation 92600694
Thu Aug 20 20:40:01 2026  error -1 reading relation 102592324
Thu Aug 20 20:40:05 2026  error -1 reading relation 106181221
Thu Aug 20 20:40:14 2026  error -1 reading relation 116556500
Thu Aug 20 20:40:18 2026  error -1 reading relation 121083661
Thu Aug 20 20:40:20 2026  error -1 reading relation 124101168
Thu Aug 20 20:40:35 2026  error -1 reading relation 140851071
Thu Aug 20 20:40:37 2026  error -1 reading relation 143484959
Thu Aug 20 20:40:39 2026  error -1 reading relation 145392328
Thu Aug 20 20:40:54 2026  error -1 reading relation 161978803
Thu Aug 20 20:41:02 2026  error -1 reading relation 169856758
Thu Aug 20 20:41:07 2026  error -1 reading relation 175133553
Thu Aug 20 20:41:07 2026  error -1 reading relation 175133796
Thu Aug 20 20:41:10 2026  error -1 reading relation 178618761
Thu Aug 20 20:41:27 2026  error -1 reading relation 198971809
Thu Aug 20 20:41:33 2026  error -1 reading relation 206070422
Thu Aug 20 20:41:35 2026  error -15 reading relation 208189861
Thu Aug 20 20:41:49 2026  error -1 reading relation 224194534
Thu Aug 20 20:41:49 2026  error -1 reading relation 224199800
Thu Aug 20 20:42:01 2026  error -1 reading relation 238400580
Thu Aug 20 20:42:01 2026  error -1 reading relation 238794633
Thu Aug 20 20:42:02 2026  error -1 reading relation 239235348
Thu Aug 20 20:42:03 2026  error -1 reading relation 240431232
Thu Aug 20 20:42:07 2026  error -1 reading relation 245148398
Thu Aug 20 20:42:07 2026  error -1 reading relation 245730822
Thu Aug 20 20:42:10 2026  error -1 reading relation 248503668
Thu Aug 20 20:42:22 2026  error -1 reading relation 262038353
Thu Aug 20 20:42:25 2026  error -1 reading relation 265325875
Thu Aug 20 20:42:26 2026  error -1 reading relation 266873005
Thu Aug 20 20:42:28 2026  error -1 reading relation 268643272
Thu Aug 20 20:42:56 2026  error -1 reading relation 298572263
Thu Aug 20 20:42:57 2026  error -1 reading relation 299530234
Thu Aug 20 20:43:00 2026  error -1 reading relation 302620548
Thu Aug 20 20:43:00 2026  error -1 reading relation 302626846
Thu Aug 20 20:43:02 2026  error -1 reading relation 305067153
Thu Aug 20 20:43:19 2026  error -1 reading relation 322558722
Thu Aug 20 20:43:21 2026  error -1 reading relation 324637827
Thu Aug 20 20:43:22 2026  error -1 reading relation 325992080
Thu Aug 20 20:43:28 2026  error -1 reading relation 331674240
Thu Aug 20 20:43:37 2026  error -5 reading relation 343005410
Thu Aug 20 20:43:43 2026  error -1 reading relation 348698082
Thu Aug 20 20:43:48 2026  error -1 reading relation 355100345
Thu Aug 20 20:43:55 2026  error -11 reading relation 362577630
Thu Aug 20 20:44:01 2026  error -1 reading relation 368968887
Thu Aug 20 20:44:02 2026  error -1 reading relation 369666028
Thu Aug 20 20:44:03 2026  error -1 reading relation 371015033
Thu Aug 20 20:44:03 2026  error -1 reading relation 371138995
Thu Aug 20 20:44:04 2026  error -1 reading relation 371706174
Thu Aug 20 20:44:04 2026  error -1 reading relation 372295653
Thu Aug 20 20:44:07 2026  error -1 reading relation 375384128
Thu Aug 20 20:44:12 2026  error -1 reading relation 381110900
Thu Aug 20 20:44:29 2026  error -1 reading relation 399929597
Thu Aug 20 20:44:29 2026  error -1 reading relation 400574060
Thu Aug 20 20:44:32 2026  error -1 reading relation 403270025
Thu Aug 20 20:44:39 2026  error -11 reading relation 412058604
Thu Aug 20 20:44:42 2026  error -11 reading relation 415619347
Thu Aug 20 20:45:00 2026  error -1 reading relation 436004785
Thu Aug 20 20:45:03 2026  error -1 reading relation 438893067
Thu Aug 20 20:45:19 2026  error -1 reading relation 457753212
Thu Aug 20 20:45:20 2026  error -1 reading relation 458013975
Thu Aug 20 20:45:22 2026  error -1 reading relation 460769499
Thu Aug 20 20:45:29 2026  error -1 reading relation 469342757
Thu Aug 20 20:45:30 2026  error -1 reading relation 470424378
Thu Aug 20 20:45:33 2026  error -1 reading relation 473765390
Thu Aug 20 20:45:35 2026  error -1 reading relation 476408067
Thu Aug 20 20:45:36 2026  error -1 reading relation 477185248
Thu Aug 20 20:45:40 2026  error -1 reading relation 481537565
Thu Aug 20 20:45:40 2026  error -1 reading relation 481537601
Thu Aug 20 20:45:40 2026  error -1 reading relation 481680120
Thu Aug 20 20:45:44 2026  error -1 reading relation 486163670
Thu Aug 20 20:45:47 2026  error -1 reading relation 489669092
Thu Aug 20 20:46:07 2026  error -1 reading relation 513529783
Thu Aug 20 20:46:11 2026  error -1 reading relation 518289123
Thu Aug 20 20:46:24 2026  error -1 reading relation 534271033
Thu Aug 20 20:46:33 2026  error -1 reading relation 543401736
Thu Aug 20 20:46:54 2026  error -1 reading relation 556373872
Thu Aug 20 20:47:19 2026  error -1 reading relation 583359489
Thu Aug 20 20:47:21 2026  error -15 reading relation 585877392
Thu Aug 20 20:47:26 2026  error -1 reading relation 592613726
Thu Aug 20 20:47:35 2026  error -1 reading relation 601650400
Thu Aug 20 20:47:39 2026  error -1 reading relation 606748365
Thu Aug 20 20:47:41 2026  error -5 reading relation 608259423
Thu Aug 20 20:47:42 2026  error -1 reading relation 609670847
Thu Aug 20 20:47:48 2026  error -1 reading relation 616087576
Thu Aug 20 20:47:49 2026  error -1 reading relation 618335419
Thu Aug 20 20:47:50 2026  error -1 reading relation 619170212
Thu Aug 20 20:47:50 2026  error -1 reading relation 619203205
Thu Aug 20 20:47:51 2026  error -1 reading relation 619390095
Thu Aug 20 20:47:51 2026  error -1 reading relation 619785177
Thu Aug 20 20:47:53 2026  error -1 reading relation 621710748
Thu Aug 20 20:47:53 2026  error -1 reading relation 622343923
Thu Aug 20 20:47:54 2026  error -1 reading relation 622840037
Thu Aug 20 20:47:54 2026  error -1 reading relation 623358149
Thu Aug 20 20:47:58 2026  error -1 reading relation 627959148
Thu Aug 20 20:48:00 2026  error -1 reading relation 630188107
Thu Aug 20 20:48:08 2026  error -1 reading relation 636596164
Thu Aug 20 20:48:08 2026  error -1 reading relation 636742703
Thu Aug 20 20:48:10 2026  error -1 reading relation 637990475
Thu Aug 20 20:48:15 2026  error -1 reading relation 644448547
Thu Aug 20 20:48:16 2026  error -1 reading relation 645277608
Thu Aug 20 20:48:17 2026  error -1 reading relation 646537790
Thu Aug 20 20:48:18 2026  error -1 reading relation 647921272
Thu Aug 20 20:48:19 2026  error -1 reading relation 648819255
Thu Aug 20 20:48:21 2026  skipped 203 relations with b > 2^32
Thu Aug 20 20:48:21 2026  skipped 2 relations with composite factors
Thu Aug 20 20:48:21 2026  skipped 1001 malformed relations
Thu Aug 20 20:48:21 2026  found 120075307 hash collisions in 651418254 relations
Thu Aug 20 20:48:27 2026  added 1219271 free relations
Thu Aug 20 20:48:27 2026  commencing duplicate removal, pass 2
Thu Aug 20 20:53:22 2026  found 120110569 duplicates and 532526956 unique relations
Thu Aug 20 20:53:22 2026  memory use: 3411.0 MB
Thu Aug 20 20:53:23 2026  reading ideals above 276758528
Thu Aug 20 20:53:23 2026  commencing singleton removal, initial pass
Thu Aug 20 21:08:02 2026  memory use: 11024.0 MB
Thu Aug 20 21:08:03 2026  reading all ideals from disk
Thu Aug 20 21:08:07 2026  memory use: 13942.0 MB
Thu Aug 20 21:08:22 2026  commencing in-memory singleton removal
Thu Aug 20 21:08:25 2026  begin with 532526956 relations and 454438613 unique ideals
Thu Aug 20 21:08:50 2026  reduce to 341651377 relations and 244336713 ideals in 14 passes
Thu Aug 20 21:08:50 2026  max relations containing the same ideal: 34
Thu Aug 20 21:08:56 2026  reading ideals above 720000
Thu Aug 20 21:08:57 2026  commencing singleton removal, initial pass
Thu Aug 20 21:25:06 2026  memory use: 6024.0 MB
Thu Aug 20 21:25:06 2026  reading all ideals from disk
Thu Aug 20 21:25:14 2026  memory use: 17029.7 MB
Thu Aug 20 21:25:34 2026  keeping 272694851 ideals with weight <= 200, target excess is 1757426
Thu Aug 20 21:26:02 2026  commencing in-memory singleton removal
Thu Aug 20 21:26:06 2026  begin with 341651377 relations and 272694851 unique ideals
Thu Aug 20 21:26:30 2026  reduce to 341650432 relations and 272693906 ideals in 6 passes
Thu Aug 20 21:26:30 2026  max relations containing the same ideal: 200
Thu Aug 20 21:28:37 2026  removing 13928570 relations and 11928570 ideals in 2000000 cliques
Thu Aug 20 21:28:42 2026  commencing in-memory singleton removal
Thu Aug 20 21:28:47 2026  begin with 327721862 relations and 272693906 unique ideals
Thu Aug 20 21:29:19 2026  reduce to 327290364 relations and 260330238 ideals in 9 passes
Thu Aug 20 21:29:19 2026  max relations containing the same ideal: 200
Thu Aug 20 21:31:21 2026  removing 10498708 relations and 8498708 ideals in 2000000 cliques
Thu Aug 20 21:31:26 2026  commencing in-memory singleton removal
Thu Aug 20 21:31:31 2026  begin with 316791656 relations and 260330238 unique ideals
Thu Aug 20 21:31:56 2026  reduce to 316519882 relations and 251557896 ideals in 7 passes
Thu Aug 20 21:31:56 2026  max relations containing the same ideal: 198
Thu Aug 20 21:33:54 2026  removing 9413767 relations and 7413767 ideals in 2000000 cliques
Thu Aug 20 21:33:59 2026  commencing in-memory singleton removal
Thu Aug 20 21:34:04 2026  begin with 307106115 relations and 251557896 unique ideals
Thu Aug 20 21:34:24 2026  reduce to 306876342 relations and 243912866 ideals in 6 passes
Thu Aug 20 21:34:24 2026  max relations containing the same ideal: 196
Thu Aug 20 21:36:19 2026  removing 8796086 relations and 6796086 ideals in 2000000 cliques
Thu Aug 20 21:36:24 2026  commencing in-memory singleton removal
Thu Aug 20 21:36:29 2026  begin with 298080256 relations and 243912866 unique ideals
Thu Aug 20 21:36:50 2026  reduce to 297870219 relations and 236905319 ideals in 8 passes
Thu Aug 20 21:36:50 2026  max relations containing the same ideal: 195
Thu Aug 20 21:38:21 2026  removing 8385851 relations and 6385851 ideals in 2000000 cliques
Thu Aug 20 21:38:25 2026  commencing in-memory singleton removal
Thu Aug 20 21:38:29 2026  begin with 289484368 relations and 236905319 unique ideals
Thu Aug 20 21:38:48 2026  reduce to 289287371 relations and 230321138 ideals in 7 passes
Thu Aug 20 21:38:48 2026  max relations containing the same ideal: 190
Thu Aug 20 21:40:13 2026  removing 8088011 relations and 6088011 ideals in 2000000 cliques
Thu Aug 20 21:40:18 2026  commencing in-memory singleton removal
Thu Aug 20 21:40:22 2026  begin with 281199360 relations and 230321138 unique ideals
Thu Aug 20 21:40:39 2026  reduce to 281009774 relations and 224042271 ideals in 6 passes
Thu Aug 20 21:40:39 2026  max relations containing the same ideal: 188
Thu Aug 20 21:42:05 2026  removing 7863365 relations and 5863365 ideals in 2000000 cliques
Thu Aug 20 21:42:09 2026  commencing in-memory singleton removal
Thu Aug 20 21:42:13 2026  begin with 273146409 relations and 224042271 unique ideals
Thu Aug 20 21:42:29 2026  reduce to 272961011 relations and 217992240 ideals in 6 passes
Thu Aug 20 21:42:29 2026  max relations containing the same ideal: 186
Thu Aug 20 21:43:50 2026  removing 7684530 relations and 5684530 ideals in 2000000 cliques
Thu Aug 20 21:43:55 2026  commencing in-memory singleton removal
Thu Aug 20 21:43:58 2026  begin with 265276481 relations and 217992240 unique ideals
Thu Aug 20 21:44:13 2026  reduce to 265095725 relations and 212125687 ideals in 7 passes
Thu Aug 20 21:44:13 2026  max relations containing the same ideal: 183
Thu Aug 20 21:45:20 2026  removing 7542898 relations and 5542898 ideals in 2000000 cliques
Thu Aug 20 21:45:24 2026  commencing in-memory singleton removal
Thu Aug 20 21:45:27 2026  begin with 257552827 relations and 212125687 unique ideals
Thu Aug 20 21:45:37 2026  reduce to 257374557 relations and 206403137 ideals in 6 passes
Thu Aug 20 21:45:37 2026  max relations containing the same ideal: 179
Thu Aug 20 21:46:39 2026  removing 7434434 relations and 5434434 ideals in 2000000 cliques
Thu Aug 20 21:46:42 2026  commencing in-memory singleton removal
Thu Aug 20 21:46:46 2026  begin with 249940123 relations and 206403137 unique ideals
Thu Aug 20 21:46:58 2026  reduce to 249763120 relations and 200790418 ideals in 7 passes
Thu Aug 20 21:46:58 2026  max relations containing the same ideal: 173
Thu Aug 20 21:48:00 2026  removing 7338463 relations and 5338463 ideals in 2000000 cliques
Thu Aug 20 21:48:04 2026  commencing in-memory singleton removal
Thu Aug 20 21:48:07 2026  begin with 242424657 relations and 200790418 unique ideals
Thu Aug 20 21:48:19 2026  reduce to 242246216 relations and 195272124 ideals in 7 passes
Thu Aug 20 21:48:19 2026  max relations containing the same ideal: 172
Thu Aug 20 21:49:20 2026  removing 7264274 relations and 5264274 ideals in 2000000 cliques
Thu Aug 20 21:49:23 2026  commencing in-memory singleton removal
Thu Aug 20 21:49:26 2026  begin with 234981942 relations and 195272124 unique ideals
Thu Aug 20 21:49:37 2026  reduce to 234803273 relations and 189827733 ideals in 6 passes
Thu Aug 20 21:49:37 2026  max relations containing the same ideal: 167
Thu Aug 20 21:50:38 2026  removing 7200211 relations and 5200211 ideals in 2000000 cliques
Thu Aug 20 21:50:42 2026  commencing in-memory singleton removal
Thu Aug 20 21:50:45 2026  begin with 227603062 relations and 189827733 unique ideals
Thu Aug 20 21:50:54 2026  reduce to 227420812 relations and 184443777 ideals in 6 passes
Thu Aug 20 21:50:54 2026  max relations containing the same ideal: 164
Thu Aug 20 21:51:48 2026  removing 7148339 relations and 5148339 ideals in 2000000 cliques
Thu Aug 20 21:51:51 2026  commencing in-memory singleton removal
Thu Aug 20 21:51:54 2026  begin with 220272473 relations and 184443777 unique ideals
Thu Aug 20 21:52:03 2026  reduce to 220088935 relations and 179110278 ideals in 6 passes
Thu Aug 20 21:52:03 2026  max relations containing the same ideal: 161
Thu Aug 20 21:52:55 2026  removing 7108604 relations and 5108604 ideals in 2000000 cliques
Thu Aug 20 21:52:58 2026  commencing in-memory singleton removal
Thu Aug 20 21:53:00 2026  begin with 212980331 relations and 179110278 unique ideals
Thu Aug 20 21:53:11 2026  reduce to 212793529 relations and 173813197 ideals in 6 passes
Thu Aug 20 21:53:11 2026  max relations containing the same ideal: 156
Thu Aug 20 21:54:10 2026  removing 7074402 relations and 5074402 ideals in 2000000 cliques
Thu Aug 20 21:54:13 2026  commencing in-memory singleton removal
Thu Aug 20 21:54:16 2026  begin with 205719127 relations and 173813197 unique ideals
Thu Aug 20 21:54:25 2026  reduce to 205527895 relations and 168545770 ideals in 6 passes
Thu Aug 20 21:54:25 2026  max relations containing the same ideal: 153
Thu Aug 20 21:55:22 2026  removing 7049132 relations and 5049132 ideals in 2000000 cliques
Thu Aug 20 21:55:25 2026  commencing in-memory singleton removal
Thu Aug 20 21:55:28 2026  begin with 198478763 relations and 168545770 unique ideals
Thu Aug 20 21:55:39 2026  reduce to 198283372 relations and 163299316 ideals in 7 passes
Thu Aug 20 21:55:39 2026  max relations containing the same ideal: 150
Thu Aug 20 21:56:37 2026  removing 7035512 relations and 5035512 ideals in 2000000 cliques
Thu Aug 20 21:56:40 2026  commencing in-memory singleton removal
Thu Aug 20 21:56:43 2026  begin with 191247860 relations and 163299316 unique ideals
Thu Aug 20 21:56:53 2026  reduce to 191047305 relations and 158061247 ideals in 7 passes
Thu Aug 20 21:56:53 2026  max relations containing the same ideal: 148
Thu Aug 20 21:57:46 2026  removing 7023983 relations and 5023983 ideals in 2000000 cliques
Thu Aug 20 21:57:49 2026  commencing in-memory singleton removal
Thu Aug 20 21:57:52 2026  begin with 184023322 relations and 158061247 unique ideals
Thu Aug 20 21:58:01 2026  reduce to 183816000 relations and 152827719 ideals in 7 passes
Thu Aug 20 21:58:01 2026  max relations containing the same ideal: 145
Thu Aug 20 21:58:54 2026  removing 7020671 relations and 5020671 ideals in 2000000 cliques
Thu Aug 20 21:58:57 2026  commencing in-memory singleton removal
Thu Aug 20 21:58:59 2026  begin with 176795329 relations and 152827719 unique ideals
Thu Aug 20 21:59:08 2026  reduce to 176581769 relations and 147591179 ideals in 6 passes
Thu Aug 20 21:59:08 2026  max relations containing the same ideal: 142
Thu Aug 20 21:59:58 2026  removing 7021339 relations and 5021339 ideals in 2000000 cliques
Thu Aug 20 22:00:01 2026  commencing in-memory singleton removal
Thu Aug 20 22:00:04 2026  begin with 169560430 relations and 147591179 unique ideals
Thu Aug 20 22:00:13 2026  reduce to 169338200 relations and 142345209 ideals in 7 passes
Thu Aug 20 22:00:13 2026  max relations containing the same ideal: 136
Thu Aug 20 22:01:02 2026  removing 7032701 relations and 5032701 ideals in 2000000 cliques
Thu Aug 20 22:01:05 2026  commencing in-memory singleton removal
Thu Aug 20 22:01:07 2026  begin with 162305499 relations and 142345209 unique ideals
Thu Aug 20 22:01:15 2026  reduce to 162075087 relations and 137079421 ideals in 6 passes
Thu Aug 20 22:01:15 2026  max relations containing the same ideal: 131
Thu Aug 20 22:02:02 2026  removing 7050214 relations and 5050214 ideals in 2000000 cliques
Thu Aug 20 22:02:05 2026  commencing in-memory singleton removal
Thu Aug 20 22:02:07 2026  begin with 155024873 relations and 137079421 unique ideals
Thu Aug 20 22:02:14 2026  reduce to 154783980 relations and 131785400 ideals in 6 passes
Thu Aug 20 22:02:14 2026  max relations containing the same ideal: 126
Thu Aug 20 22:03:04 2026  removing 7078186 relations and 5078186 ideals in 2000000 cliques
Thu Aug 20 22:03:06 2026  commencing in-memory singleton removal
Thu Aug 20 22:03:08 2026  begin with 147705794 relations and 131785400 unique ideals
Thu Aug 20 22:03:16 2026  reduce to 147452885 relations and 126451180 ideals in 7 passes
Thu Aug 20 22:03:16 2026  max relations containing the same ideal: 122
Thu Aug 20 22:04:10 2026  removing 7103084 relations and 5103084 ideals in 2000000 cliques
Thu Aug 20 22:04:13 2026  commencing in-memory singleton removal
Thu Aug 20 22:04:16 2026  begin with 140349801 relations and 126451180 unique ideals
Thu Aug 20 22:04:29 2026  reduce to 140081920 relations and 121076765 ideals in 7 passes
Thu Aug 20 22:04:29 2026  max relations containing the same ideal: 117
Thu Aug 20 22:05:21 2026  removing 7143812 relations and 5143812 ideals in 2000000 cliques
Thu Aug 20 22:05:23 2026  commencing in-memory singleton removal
Thu Aug 20 22:05:25 2026  begin with 132938108 relations and 121076765 unique ideals
Thu Aug 20 22:05:34 2026  reduce to 132654711 relations and 115645745 ideals in 7 passes
Thu Aug 20 22:05:34 2026  max relations containing the same ideal: 113
Thu Aug 20 22:06:16 2026  removing 7192778 relations and 5192778 ideals in 2000000 cliques
Thu Aug 20 22:06:17 2026  commencing in-memory singleton removal
Thu Aug 20 22:06:19 2026  begin with 125461933 relations and 115645745 unique ideals
Thu Aug 20 22:06:26 2026  reduce to 125159271 relations and 110146192 ideals in 7 passes
Thu Aug 20 22:06:26 2026  max relations containing the same ideal: 109
Thu Aug 20 22:07:06 2026  removing 7246871 relations and 5246871 ideals in 2000000 cliques
Thu Aug 20 22:07:09 2026  commencing in-memory singleton removal
Thu Aug 20 22:07:10 2026  begin with 117912400 relations and 110146192 unique ideals
Thu Aug 20 22:07:17 2026  reduce to 117588178 relations and 104570429 ideals in 7 passes
Thu Aug 20 22:07:17 2026  max relations containing the same ideal: 106
Thu Aug 20 22:07:54 2026  removing 7317373 relations and 5317373 ideals in 2000000 cliques
Thu Aug 20 22:07:56 2026  commencing in-memory singleton removal
Thu Aug 20 22:07:57 2026  begin with 110270805 relations and 104570429 unique ideals
Thu Aug 20 22:08:03 2026  reduce to 109922871 relations and 98899857 ideals in 6 passes
Thu Aug 20 22:08:03 2026  max relations containing the same ideal: 103
Thu Aug 20 22:08:38 2026  removing 7397304 relations and 5397304 ideals in 2000000 cliques
Thu Aug 20 22:08:41 2026  commencing in-memory singleton removal
Thu Aug 20 22:08:42 2026  begin with 102525567 relations and 98899857 unique ideals
Thu Aug 20 22:08:49 2026  reduce to 102145409 relations and 93116148 ideals in 8 passes
Thu Aug 20 22:08:49 2026  max relations containing the same ideal: 96
Thu Aug 20 22:09:21 2026  removing 7489149 relations and 5489149 ideals in 2000000 cliques
Thu Aug 20 22:09:23 2026  commencing in-memory singleton removal
Thu Aug 20 22:09:24 2026  begin with 94656260 relations and 93116148 unique ideals
Thu Aug 20 22:09:30 2026  reduce to 94235006 relations and 87198705 ideals in 9 passes
Thu Aug 20 22:09:30 2026  max relations containing the same ideal: 92
Thu Aug 20 22:10:01 2026  removing 7604221 relations and 5604221 ideals in 2000000 cliques
Thu Aug 20 22:10:03 2026  commencing in-memory singleton removal
Thu Aug 20 22:10:04 2026  begin with 86630785 relations and 87198705 unique ideals
Thu Aug 20 22:10:09 2026  reduce to 86160757 relations and 81115984 ideals in 7 passes
Thu Aug 20 22:10:09 2026  max relations containing the same ideal: 87
Thu Aug 20 22:10:37 2026  removing 7729710 relations and 5729710 ideals in 2000000 cliques
Thu Aug 20 22:10:39 2026  commencing in-memory singleton removal
Thu Aug 20 22:10:40 2026  begin with 78431047 relations and 81115984 unique ideals
Thu Aug 20 22:10:45 2026  reduce to 77895230 relations and 74839919 ideals in 8 passes
Thu Aug 20 22:10:45 2026  max relations containing the same ideal: 79
Thu Aug 20 22:11:11 2026  removing 4588031 relations and 3571335 ideals in 1016696 cliques
Thu Aug 20 22:11:13 2026  commencing in-memory singleton removal
Thu Aug 20 22:11:13 2026  begin with 73307199 relations and 74839919 unique ideals
Thu Aug 20 22:11:18 2026  reduce to 73111187 relations and 71070564 ideals in 8 passes
Thu Aug 20 22:11:18 2026  max relations containing the same ideal: 75
Thu Aug 20 22:11:42 2026  trying target density 80
Thu Aug 20 22:11:48 2026  relations with 0 large ideals: 66067
Thu Aug 20 22:11:48 2026  relations with 1 large ideals: 30262
Thu Aug 20 22:11:48 2026  relations with 2 large ideals: 421233
Thu Aug 20 22:11:48 2026  relations with 3 large ideals: 2570016
Thu Aug 20 22:11:48 2026  relations with 4 large ideals: 8429457
Thu Aug 20 22:11:48 2026  relations with 5 large ideals: 16359315
Thu Aug 20 22:11:48 2026  relations with 6 large ideals: 19690875
Thu Aug 20 22:11:48 2026  relations with 7+ large ideals: 25543962
Thu Aug 20 22:11:48 2026  commencing 2-way merge
Thu Aug 20 22:12:33 2026  reduce to 45893996 relation sets and 43853373 unique ideals
Thu Aug 20 22:12:33 2026  commencing full merge
Thu Aug 20 22:21:34 2026  memory use: 5486.7 MB
Thu Aug 20 22:21:37 2026  found 23926295 cycles, need 23645573
Thu Aug 20 22:21:43 2026  weight of 23645573 cycles is about 1891960331 (80.01/cycle)
Thu Aug 20 22:21:43 2026  distribution of cycle lengths:
Thu Aug 20 22:21:43 2026  1 relations: 2616884
Thu Aug 20 22:21:43 2026  2 relations: 2543514
Thu Aug 20 22:21:43 2026  3 relations: 2526681
Thu Aug 20 22:21:43 2026  4 relations: 2417083
Thu Aug 20 22:21:43 2026  5 relations: 2344204
Thu Aug 20 22:21:43 2026  6 relations: 2163987
Thu Aug 20 22:21:43 2026  7 relations: 1966629
Thu Aug 20 22:21:43 2026  8 relations: 1712462
Thu Aug 20 22:21:43 2026  9 relations: 1432838
Thu Aug 20 22:21:43 2026  10+ relations: 3921291
Thu Aug 20 22:21:43 2026  heaviest cycle: 21 relations
Thu Aug 20 22:21:47 2026  commencing cycle optimization
Thu Aug 20 22:22:15 2026  start with 136596852 relations
Thu Aug 20 22:24:39 2026  pruned 3524821 relations
Thu Aug 20 22:24:40 2026  memory use: 4402.5 MB
Thu Aug 20 22:24:40 2026  distribution of cycle lengths:
Thu Aug 20 22:24:40 2026  1 relations: 2616884
Thu Aug 20 22:24:40 2026  2 relations: 2593249
Thu Aug 20 22:24:40 2026  3 relations: 2611101
Thu Aug 20 22:24:40 2026  4 relations: 2484191
Thu Aug 20 22:24:40 2026  5 relations: 2416419
Thu Aug 20 22:24:40 2026  6 relations: 2219079
Thu Aug 20 22:24:40 2026  7 relations: 2011323
Thu Aug 20 22:24:40 2026  8 relations: 1730024
Thu Aug 20 22:24:40 2026  9 relations: 1429998
Thu Aug 20 22:24:40 2026  10+ relations: 3533305
Thu Aug 20 22:24:40 2026  heaviest cycle: 20 relations
Thu Aug 20 22:25:07 2026  trying target density 100
Thu Aug 20 22:25:12 2026  relations with 0 large ideals: 66067
Thu Aug 20 22:25:12 2026  relations with 1 large ideals: 30262
Thu Aug 20 22:25:12 2026  relations with 2 large ideals: 421233
Thu Aug 20 22:25:12 2026  relations with 3 large ideals: 2570016
Thu Aug 20 22:25:12 2026  relations with 4 large ideals: 8429457
Thu Aug 20 22:25:12 2026  relations with 5 large ideals: 16359315
Thu Aug 20 22:25:12 2026  relations with 6 large ideals: 19690875
Thu Aug 20 22:25:12 2026  relations with 7+ large ideals: 25543962
Thu Aug 20 22:25:12 2026  commencing 2-way merge
Thu Aug 20 22:25:43 2026  reduce to 45893996 relation sets and 43853373 unique ideals
Thu Aug 20 22:25:43 2026  commencing full merge
Thu Aug 20 22:36:18 2026  memory use: 5698.0 MB
Thu Aug 20 22:36:21 2026  found 22128175 cycles, need 21871573
Thu Aug 20 22:36:26 2026  weight of 21871573 cycles is about 2187552853 (100.02/cycle)
Thu Aug 20 22:36:26 2026  distribution of cycle lengths:
Thu Aug 20 22:36:26 2026  1 relations: 1758503
Thu Aug 20 22:36:26 2026  2 relations: 1818891
Thu Aug 20 22:36:26 2026  3 relations: 1852075
Thu Aug 20 22:36:26 2026  4 relations: 1838729
Thu Aug 20 22:36:26 2026  5 relations: 1818764
Thu Aug 20 22:36:26 2026  6 relations: 1745706
Thu Aug 20 22:36:26 2026  7 relations: 1681298
Thu Aug 20 22:36:26 2026  8 relations: 1565687
Thu Aug 20 22:36:26 2026  9 relations: 1424986
Thu Aug 20 22:36:26 2026  10+ relations: 6366934
Thu Aug 20 22:36:26 2026  heaviest cycle: 25 relations
Thu Aug 20 22:36:30 2026  commencing cycle optimization
Thu Aug 20 22:37:02 2026  start with 158294942 relations
Thu Aug 20 22:40:34 2026  pruned 5419896 relations
Thu Aug 20 22:40:36 2026  memory use: 4632.4 MB
Thu Aug 20 22:40:36 2026  distribution of cycle lengths:
Thu Aug 20 22:40:36 2026  1 relations: 1758503
Thu Aug 20 22:40:36 2026  2 relations: 1857018
Thu Aug 20 22:40:36 2026  3 relations: 1920596
Thu Aug 20 22:40:36 2026  4 relations: 1900408
Thu Aug 20 22:40:36 2026  5 relations: 1889684
Thu Aug 20 22:40:36 2026  6 relations: 1811073
Thu Aug 20 22:40:36 2026  7 relations: 1744695
Thu Aug 20 22:40:36 2026  8 relations: 1616159
Thu Aug 20 22:40:36 2026  9 relations: 1462382
Thu Aug 20 22:40:36 2026  10+ relations: 5911055
Thu Aug 20 22:40:36 2026  heaviest cycle: 25 relations
Thu Aug 20 22:41:03 2026  trying target density 120
Thu Aug 20 22:41:08 2026  relations with 0 large ideals: 66067
Thu Aug 20 22:41:08 2026  relations with 1 large ideals: 30262
Thu Aug 20 22:41:08 2026  relations with 2 large ideals: 421233
Thu Aug 20 22:41:08 2026  relations with 3 large ideals: 2570016
Thu Aug 20 22:41:08 2026  relations with 4 large ideals: 8429457
Thu Aug 20 22:41:08 2026  relations with 5 large ideals: 16359315
Thu Aug 20 22:41:08 2026  relations with 6 large ideals: 19690875
Thu Aug 20 22:41:08 2026  relations with 7+ large ideals: 25543962
Thu Aug 20 22:41:08 2026  commencing 2-way merge
Thu Aug 20 22:41:38 2026  reduce to 45893996 relation sets and 43853373 unique ideals
Thu Aug 20 22:41:38 2026  commencing full merge
Thu Aug 20 22:54:36 2026  memory use: 5843.6 MB
Thu Aug 20 22:54:40 2026  found 20784644 cycles, need 20631573
Thu Aug 20 22:54:45 2026  weight of 20631573 cycles is about 2475998456 (120.01/cycle)
Thu Aug 20 22:54:45 2026  distribution of cycle lengths:
Thu Aug 20 22:54:45 2026  1 relations: 1240705
Thu Aug 20 22:54:45 2026  2 relations: 1381937
Thu Aug 20 22:54:45 2026  3 relations: 1455724
Thu Aug 20 22:54:45 2026  4 relations: 1455449
Thu Aug 20 22:54:45 2026  5 relations: 1462349
Thu Aug 20 22:54:45 2026  6 relations: 1430770
Thu Aug 20 22:54:45 2026  7 relations: 1407955
Thu Aug 20 22:54:45 2026  8 relations: 1352058
Thu Aug 20 22:54:45 2026  9 relations: 1292289
Thu Aug 20 22:54:45 2026  10+ relations: 8152337
Thu Aug 20 22:54:45 2026  heaviest cycle: 28 relations
Thu Aug 20 22:54:48 2026  commencing cycle optimization
Thu Aug 20 22:55:21 2026  start with 178946781 relations
Thu Aug 20 23:00:13 2026  pruned 7451057 relations
Thu Aug 20 23:00:13 2026  memory use: 4843.5 MB
Thu Aug 20 23:00:13 2026  distribution of cycle lengths:
Thu Aug 20 23:00:13 2026  1 relations: 1240705
Thu Aug 20 23:00:13 2026  2 relations: 1412457
Thu Aug 20 23:00:13 2026  3 relations: 1511603
Thu Aug 20 23:00:13 2026  4 relations: 1509612
Thu Aug 20 23:00:13 2026  5 relations: 1526078
Thu Aug 20 23:00:13 2026  6 relations: 1493650
Thu Aug 20 23:00:13 2026  7 relations: 1474561
Thu Aug 20 23:00:13 2026  8 relations: 1413545
Thu Aug 20 23:00:13 2026  9 relations: 1346804
Thu Aug 20 23:00:13 2026  10+ relations: 7702558
Thu Aug 20 23:00:13 2026  heaviest cycle: 28 relations
Thu Aug 20 23:00:42 2026  RelProcTime: 8594
Thu Aug 20 23:00:42 2026
Thu Aug 20 23:00:42 2026  commencing linear algebra
Thu Aug 20 23:00:42 2026  using VBITS=256
Thu Aug 20 23:00:42 2026  building matrices for all densities
Thu Aug 20 23:00:42 2026  found 3 density files
Thu Aug 20 23:00:42 2026  building matrix for density 80
Thu Aug 20 23:00:50 2026  read 23645573 cycles
Thu Aug 20 23:01:23 2026  cycles contain 71923096 unique relations
Thu Aug 20 23:10:03 2026  read 71923096 relations
Thu Aug 20 23:10:15 2026  using 20 quadratic characters above 4294917295
Thu Aug 20 23:10:30 2026  building initial matrix
Thu Aug 20 23:18:37 2026  memory use: 9184.7 MB
Thu Aug 20 23:18:47 2026  read 23645573 cycles
Thu Aug 20 23:18:49 2026  matrix is 23645394 x 23645573 (7947.7 MB) with weight 2268287677 (95.93/col)
Thu Aug 20 23:18:49 2026  sparse part has weight 1823352075 (77.11/col)
Thu Aug 20 23:21:18 2026  filtering completed in 2 passes
Thu Aug 20 23:21:22 2026  matrix is 23639074 x 23639248 (7947.3 MB) with weight 2268124831 (95.95/col)
Thu Aug 20 23:21:22 2026  sparse part has weight 1823300887 (77.13/col)
Thu Aug 20 23:21:56 2026  building matrix for density 100
Thu Aug 20 23:21:58 2026  read 21871573 cycles
Thu Aug 20 23:22:24 2026  cycles contain 71950165 unique relations
Thu Aug 20 23:31:50 2026  read 71950165 relations
Thu Aug 20 23:32:06 2026  using 20 quadratic characters above 4294917295
Thu Aug 20 23:32:22 2026  building initial matrix
Thu Aug 20 23:42:31 2026  memory use: 9209.0 MB
Thu Aug 20 23:43:25 2026  read 21871573 cycles
Thu Aug 20 23:43:30 2026  matrix is 21871396 x 21871573 (8841.2 MB) with weight 2512250852 (114.86/col)
Thu Aug 20 23:43:30 2026  sparse part has weight 2077073316 (94.97/col)
Thu Aug 20 23:46:22 2026  filtering completed in 2 passes
Thu Aug 20 23:46:27 2026  matrix is 21868670 x 21868843 (8840.9 MB) with weight 2512166975 (114.87/col)
Thu Aug 20 23:46:27 2026  sparse part has weight 2077041997 (94.98/col)
Thu Aug 20 23:47:57 2026  building matrix for density 120
Thu Aug 20 23:48:02 2026  read 20631573 cycles
Thu Aug 20 23:49:42 2026  cycles contain 71957870 unique relations
Thu Aug 20 23:55:05 2026  read 71957870 relations
Thu Aug 20 23:55:32 2026  using 20 quadratic characters above 4294917295
Thu Aug 20 23:55:58 2026  building initial matrix
Fri Aug 21 04:45:54 2026
Fri Aug 21 04:45:54 2026
Fri Aug 21 04:45:54 2026  Msieve v. 1.54 (SVN unknown)
Fri Aug 21 04:45:54 2026  random seeds: c9a5e5e5 50ecafdf
Fri Aug 21 04:45:54 2026  factoring 91108818480178025196465965968916587290556188985715295570177349270611473429463839715197731713234760937152609432970135959601793326752199571697084563173874980197247850955589725337732814619369856442756895326286205990576761889511254621601028645533078087637 (251 digits)
Fri Aug 21 04:45:55 2026  no P-1/P+1/ECM available, skipping
Fri Aug 21 04:45:55 2026  commencing number field sieve (251-digit input)
Fri Aug 21 04:45:55 2026  R0: 18573177066341091649668772520265320958138649
Fri Aug 21 04:45:55 2026  R1: -1
Fri Aug 21 04:45:55 2026  A0: -21227
Fri Aug 21 04:45:55 2026  A1: 0
Fri Aug 21 04:45:55 2026  A2: 0
Fri Aug 21 04:45:55 2026  A3: 0
Fri Aug 21 04:45:55 2026  A4: 0
Fri Aug 21 04:45:55 2026  A5: 0
Fri Aug 21 04:45:55 2026  A6: 1
Fri Aug 21 04:45:55 2026  skew 6.78, size 2.813e-13, alpha 2.547, combined = 4.758e-14 rroots = 2
Fri Aug 21 04:45:55 2026
Fri Aug 21 04:45:55 2026  commencing linear algebra
Fri Aug 21 04:45:55 2026  using VBITS=256
Fri Aug 21 04:45:55 2026  skipping matrix build
Fri Aug 21 04:46:02 2026  matrix starts at (0, 0)
Fri Aug 21 04:46:05 2026  matrix is 21868670 x 21868843 (8840.9 MB) with weight 2512166975 (114.87/col)
Fri Aug 21 04:46:05 2026  sparse part has weight 2077041997 (94.98/col)
Fri Aug 21 04:46:05 2026  saving the first 240 matrix rows for later
Fri Aug 21 04:46:18 2026  matrix includes 256 packed rows
Fri Aug 21 04:46:29 2026  matrix is 21868430 x 21868843 (8226.6 MB) with weight 1892640470 (86.55/col)
Fri Aug 21 04:46:29 2026  sparse part has weight 1806648465 (82.61/col)
Fri Aug 21 04:46:29 2026  using GPU 0 (NVIDIA GeForce RTX 5090)
Fri Aug 21 04:46:29 2026  selected card has CUDA arch 12.0
Fri Aug 21 04:46:30 2026  computed block_nnz 129938850 (L2 cache 100663296 bytes, average column weight 82.6)
Fri Aug 21 04:46:30 2026  nonzeros per matrix block: 256000000
Fri Aug 21 04:52:04 2026  commencing Lanczos iteration
Fri Aug 21 04:52:06 2026  memory use: 20457.5 MB
Fri Aug 21 04:52:24 2026  linear algebra at 0.1%, ETA 3h22m
Fri Aug 21 04:52:50 2026  checking every 100000 dimensions, checkpointing every 6500000 dimensions
Fri Aug 21 08:19:00 2026  lanczos halted after 85683 iterations (dim = 21868429)
Fri Aug 21 08:20:58 2026  recovered 35 nontrivial dependencies
Fri Aug 21 08:20:58 2026  BLanczosTime: 12903
Fri Aug 21 08:20:58 2026  elapsed time 03:35:04
Fri Aug 21 07:08:31 2026
Fri Aug 21 07:08:31 2026
Fri Aug 21 07:08:31 2026  Msieve v. 1.54 (SVN unknown)
Fri Aug 21 07:08:31 2026  random seeds: f3d4f7af 230fbb4f
Fri Aug 21 07:08:31 2026  Using 8 OpenMP threads
Fri Aug 21 07:08:31 2026  factoring 91108818480178025196465965968916587290556188985715295570177349270611473429463839715197731713234760937152609432970135959601793326752199571697084563173874980197247850955589725337732814619369856442756895326286205990576761889511254621601028645533078087637 (251 digits)
Fri Aug 21 07:08:31 2026  no P-1/P+1/ECM available, skipping
Fri Aug 21 07:08:31 2026  commencing number field sieve (251-digit input)
Fri Aug 21 07:08:31 2026  R0: 18573177066341091649668772520265320958138649
Fri Aug 21 07:08:31 2026  R1: -1
Fri Aug 21 07:08:31 2026  A0: -21227
Fri Aug 21 07:08:31 2026  A1: 0
Fri Aug 21 07:08:31 2026  A2: 0
Fri Aug 21 07:08:31 2026  A3: 0
Fri Aug 21 07:08:31 2026  A4: 0
Fri Aug 21 07:08:31 2026  A5: 0
Fri Aug 21 07:08:31 2026  A6: 1
Fri Aug 21 07:08:31 2026  skew 6.78, size 2.813e-13, alpha 2.547, combined = 4.758e-14 rroots = 2
Fri Aug 21 07:08:31 2026
Fri Aug 21 07:08:31 2026  commencing square root phase
Fri Aug 21 07:08:31 2026  reading relations for dependency 1
Fri Aug 21 07:08:33 2026  read 10933411 cycles
Fri Aug 21 07:08:48 2026  cycles contain 35976384 unique relations
Fri Aug 21 07:11:08 2026  read 35976384 relations
Fri Aug 21 07:13:25 2026  multiplying 35976384 relations
Fri Aug 21 07:16:02 2026  multiply complete, coefficients have about 987.00 million bits
Fri Aug 21 07:16:03 2026  initial square root is modulo 715923979
Fri Aug 21 07:20:47 2026  GCD is N, no factor found
Fri Aug 21 07:20:47 2026  reading relations for dependency 2
Fri Aug 21 07:20:49 2026  read 10934793 cycles
Fri Aug 21 07:21:04 2026  cycles contain 35977480 unique relations
Fri Aug 21 07:22:41 2026  read 35977480 relations
Fri Aug 21 07:25:09 2026  multiplying 35977480 relations
Fri Aug 21 07:27:42 2026  multiply complete, coefficients have about 987.03 million bits
Fri Aug 21 07:27:43 2026  initial square root is modulo 716397709
Fri Aug 21 07:32:12 2026  GCD is 1, no factor found
Fri Aug 21 07:32:12 2026  reading relations for dependency 3
Fri Aug 21 07:32:13 2026  read 10934464 cycles
Fri Aug 21 07:32:27 2026  cycles contain 35973652 unique relations
Fri Aug 21 07:33:50 2026  read 35973652 relations
Fri Aug 21 07:35:53 2026  multiplying 35973652 relations
Fri Aug 21 07:38:03 2026  multiply complete, coefficients have about 986.93 million bits
Fri Aug 21 07:38:04 2026  initial square root is modulo 714912229
Fri Aug 21 07:41:48 2026  sqrtTime: 1997
Fri Aug 21 07:41:48 2026  p99 factor: 693110049966309340698837107317865727956031346097085423900885539050050523653765337591347179468831297
Fri Aug 21 07:41:48 2026  p153 factor: 131449282093956995970374290658784714781501288141491075746475671645036433824020538113920753901336683156476131526092464644492546316685660495897188339843221
Fri Aug 21 07:41:48 2026  elapsed time 00:33:17