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- Fri Sep 18 23:56:22 2026
- Fri Sep 18 23:56:22 2026
- Fri Sep 18 23:56:22 2026 Msieve v. 1.54 (SVN unknown)
- Fri Sep 18 23:56:22 2026 random seeds: cd86d18c b3cf838c
- Fri Sep 18 23:56:22 2026 Using 8 OpenMP threads
- Fri Sep 18 23:56:22 2026 factoring 475377978699365163451580979008546635165639210188204729191997700391506306367788849867259632192232785795268929098713321259086034897432311351694366239156132740038773047676559614650183053371 (186 digits)
- Fri Sep 18 23:56:22 2026 no P-1/P+1/ECM available, skipping
- Fri Sep 18 23:56:22 2026 commencing number field sieve (186-digit input)
- Fri Sep 18 23:56:22 2026 R0: -1233726978244884673740320353192974937
- Fri Sep 18 23:56:22 2026 R1: 32362082193466525685419
- Fri Sep 18 23:56:22 2026 A0: -599376999928162305803555883162290018836128
- Fri Sep 18 23:56:22 2026 A1: 124457465840212903388052455301040000
- Fri Sep 18 23:56:22 2026 A2: 26849565633651469034429709702
- Fri Sep 18 23:56:22 2026 A3: -3198155584644813168349
- Fri Sep 18 23:56:22 2026 A4: -222277630016778
- Fri Sep 18 23:56:22 2026 A5: 3492720
- Fri Sep 18 23:56:22 2026 skew 12856991.27, size 5.954e-18, alpha -7.074, combined = 5.436e-14 rroots = 5
- Fri Sep 18 23:56:22 2026
- Fri Sep 18 23:56:22 2026 commencing relation filtering
- Fri Sep 18 23:56:22 2026 setting 3 target densities:Fri Sep 18 23:56:22 2026 90Fri Sep 18 23:56:22 2026 110Fri Sep 18 23:56:22 2026 130Fri Sep 18 23:56:22 2026
- Fri Sep 18 23:56:22 2026 estimated available RAM is 78540.1 MB
- Fri Sep 18 23:56:22 2026 commencing duplicate removal, pass 1
- Fri Sep 18 23:56:43 2026 error -1 reading relation 4881463
- Fri Sep 18 23:59:15 2026 error -1 reading relation 38705547
- Sat Sep 19 00:00:10 2026 error -1 reading relation 56366664
- Sat Sep 19 00:00:27 2026 error -1 reading relation 63485475
- Sat Sep 19 00:00:28 2026 error -1 reading relation 63509943
- Sat Sep 19 00:00:38 2026 error -1 reading relation 67849683
- Sat Sep 19 00:01:02 2026 error -1 reading relation 77315331
- Sat Sep 19 00:01:33 2026 error -1 reading relation 90665864
- Sat Sep 19 00:01:47 2026 error -1 reading relation 96666605
- Sat Sep 19 00:02:03 2026 error -1 reading relation 102989686
- Sat Sep 19 00:02:09 2026 error -1 reading relation 105797228
- Sat Sep 19 00:02:21 2026 error -1 reading relation 110671339
- Sat Sep 19 00:02:28 2026 error -15 reading relation 113796350
- Sat Sep 19 00:03:37 2026 error -5 reading relation 141972158
- Sat Sep 19 00:04:45 2026 error -1 reading relation 169762791
- Sat Sep 19 00:04:47 2026 error -1 reading relation 170815072
- Sat Sep 19 00:06:02 2026 error -1 reading relation 200814109
- Sat Sep 19 00:06:03 2026 error -11 reading relation 201026785
- Sat Sep 19 00:06:06 2026 error -1 reading relation 202217190
- Sat Sep 19 00:06:13 2026 error -1 reading relation 205289915
- Sat Sep 19 00:06:14 2026 error -1 reading relation 205695388
- Sat Sep 19 00:06:27 2026 error -1 reading relation 210961383
- Sat Sep 19 00:06:45 2026 error -1 reading relation 217819703
- Sat Sep 19 00:07:07 2026 error -1 reading relation 226794057
- Sat Sep 19 00:07:19 2026 error -1 reading relation 231570980
- Sat Sep 19 00:07:58 2026 error -1 reading relation 247333798
- Sat Sep 19 00:08:21 2026 error -1 reading relation 256071168
- Sat Sep 19 00:08:38 2026 error -1 reading relation 262535032
- Sat Sep 19 00:08:38 2026 error -1 reading relation 262537416
- Sat Sep 19 00:09:01 2026 error -1 reading relation 271256563
- Sat Sep 19 00:09:06 2026 error -15 reading relation 273009937
- Sat Sep 19 00:09:06 2026 error -1 reading relation 273011229
- Sat Sep 19 00:09:30 2026 error -1 reading relation 281861774
- Sat Sep 19 00:10:12 2026 error -1 reading relation 299686479
- Sat Sep 19 00:10:52 2026 error -1 reading relation 317939285
- Sat Sep 19 00:11:01 2026 error -1 reading relation 322016378
- Sat Sep 19 00:11:18 2026 error -11 reading relation 329826896
- Sat Sep 19 00:11:31 2026 error -1 reading relation 335173710
- Sat Sep 19 00:11:37 2026 error -1 reading relation 337491087
- Sat Sep 19 00:11:49 2026 error -1 reading relation 341882003
- Sat Sep 19 00:11:50 2026 error -1 reading relation 342280562
- Sat Sep 19 00:11:54 2026 error -1 reading relation 343671738
- Sat Sep 19 00:11:56 2026 error -1 reading relation 344388500
- Sat Sep 19 00:12:08 2026 error -1 reading relation 348715240
- Sat Sep 19 00:12:10 2026 error -1 reading relation 349620576
- Sat Sep 19 00:12:20 2026 error -1 reading relation 353587733
- Sat Sep 19 00:12:21 2026 error -15 reading relation 353954795
- Sat Sep 19 00:12:48 2026 error -1 reading relation 364196997
- Sat Sep 19 00:12:49 2026 error -1 reading relation 364664457
- Sat Sep 19 00:13:10 2026 error -1 reading relation 372942358
- Sat Sep 19 00:13:25 2026 error -1 reading relation 379128083
- Sat Sep 19 00:13:30 2026 error -1 reading relation 380766186
- Sat Sep 19 00:13:31 2026 error -1 reading relation 381281353
- Sat Sep 19 00:13:58 2026 error -1 reading relation 390462070
- Sat Sep 19 00:14:03 2026 error -1 reading relation 392156905
- Sat Sep 19 00:14:30 2026 error -1 reading relation 400300443
- Sat Sep 19 00:14:32 2026 error -1 reading relation 400731939
- Sat Sep 19 00:14:47 2026 error -1 reading relation 403750137
- Sat Sep 19 00:14:53 2026 error -1 reading relation 404833703
- Sat Sep 19 00:15:28 2026 error -1 reading relation 413280092
- Sat Sep 19 00:15:29 2026 error -1 reading relation 413383668
- Sat Sep 19 00:15:38 2026 error -1 reading relation 415746665
- Sat Sep 19 00:17:18 2026 error -1 reading relation 444134583
- Sat Sep 19 00:17:30 2026 error -1 reading relation 447066096
- Sat Sep 19 00:17:45 2026 error -1 reading relation 450843176
- Sat Sep 19 00:17:52 2026 error -1 reading relation 452168757
- Sat Sep 19 00:18:24 2026 error -1 reading relation 460413199
- Sat Sep 19 00:20:05 2026 error -1 reading relation 493415256
- Sat Sep 19 00:20:15 2026 error -1 reading relation 501139002
- Sat Sep 19 00:20:17 2026 error -1 reading relation 502206948
- Sat Sep 19 00:20:36 2026 error -1 reading relation 511849585
- Sat Sep 19 00:20:37 2026 error -1 reading relation 512291065
- Sat Sep 19 00:21:00 2026 error -1 reading relation 527952801
- Sat Sep 19 00:21:04 2026 error -1 reading relation 531208499
- Sat Sep 19 00:21:16 2026 error -1 reading relation 538218085
- Sat Sep 19 00:21:22 2026 error -1 reading relation 541310807
- Sat Sep 19 00:21:30 2026 error -1 reading relation 546781573
- Sat Sep 19 00:21:37 2026 error -1 reading relation 552475480
- Sat Sep 19 00:21:37 2026 error -1 reading relation 553059448
- Sat Sep 19 00:21:50 2026 error -1 reading relation 563424860
- Sat Sep 19 00:21:51 2026 error -1 reading relation 563629481
- Sat Sep 19 00:21:51 2026 error -1 reading relation 563666891
- Sat Sep 19 00:21:55 2026 error -1 reading relation 566489028
- Sat Sep 19 00:22:16 2026 error -1 reading relation 575955183
- Sat Sep 19 00:22:16 2026 error -1 reading relation 576155006
- Sat Sep 19 00:23:33 2026 error -1 reading relation 598448466
- Sat Sep 19 00:23:42 2026 error -1 reading relation 602028189
- Sat Sep 19 00:23:49 2026 error -1 reading relation 605773676
- Sat Sep 19 00:23:50 2026 error -1 reading relation 606032674
- Sat Sep 19 00:23:52 2026 error -11 reading relation 606962982
- Sat Sep 19 00:23:57 2026 error -1 reading relation 609521668
- Sat Sep 19 00:23:57 2026 error -1 reading relation 609681767
- Sat Sep 19 00:23:57 2026 error -1 reading relation 609695503
- Sat Sep 19 00:24:06 2026 error -1 reading relation 614127958
- Sat Sep 19 00:24:18 2026 error -1 reading relation 619560657
- Sat Sep 19 00:24:35 2026 error -1 reading relation 627995650
- Sat Sep 19 00:24:38 2026 error -1 reading relation 629536951
- Sat Sep 19 00:24:50 2026 error -1 reading relation 635050336
- Sat Sep 19 00:25:07 2026 error -1 reading relation 643268756
- Sat Sep 19 00:25:08 2026 skipped 2 relations with composite factors
- Sat Sep 19 00:25:08 2026 skipped 829 malformed relations
- Sat Sep 19 00:25:08 2026 found 115674671 hash collisions in 643780571 relations
- Sat Sep 19 00:25:23 2026 added 122052 free relations
- Sat Sep 19 00:25:23 2026 commencing duplicate removal, pass 2
- Sat Sep 19 00:38:47 2026 found 117430163 duplicates and 526472460 unique relations
- Sat Sep 19 00:38:47 2026 memory use: 3411.0 MB
- Sat Sep 19 00:38:48 2026 reading ideals above 274006016
- Sat Sep 19 00:38:48 2026 commencing singleton removal, initial pass
- Sat Sep 19 01:04:41 2026 memory use: 11024.0 MB
- Sat Sep 19 01:04:42 2026 reading all ideals from disk
- Sat Sep 19 01:05:03 2026 memory use: 13690.7 MB
- Sat Sep 19 01:05:25 2026 commencing in-memory singleton removal
- Sat Sep 19 01:05:29 2026 begin with 526472460 relations and 448520636 unique ideals
- Sat Sep 19 01:06:13 2026 reduce to 333839313 relations and 236294025 ideals in 14 passes
- Sat Sep 19 01:06:13 2026 max relations containing the same ideal: 33
- Sat Sep 19 01:06:21 2026 reading ideals above 720000
- Sat Sep 19 01:06:22 2026 commencing singleton removal, initial pass
- Sat Sep 19 01:34:11 2026 memory use: 6024.0 MB
- Sat Sep 19 01:34:12 2026 reading all ideals from disk
- Sat Sep 19 01:36:41 2026 memory use: 16499.3 MB
- Sat Sep 19 01:38:17 2026 keeping 264429431 ideals with weight <= 200, target excess is 1703918
- Sat Sep 19 01:39:27 2026 commencing in-memory singleton removal
- Sat Sep 19 01:39:33 2026 begin with 333839313 relations and 264429431 unique ideals
- Sat Sep 19 01:40:12 2026 reduce to 333835501 relations and 264425619 ideals in 8 passes
- Sat Sep 19 01:40:12 2026 max relations containing the same ideal: 200
- Sat Sep 19 01:42:14 2026 removing 13454819 relations and 11454819 ideals in 2000000 cliques
- Sat Sep 19 01:42:21 2026 commencing in-memory singleton removal
- Sat Sep 19 01:42:26 2026 begin with 320380682 relations and 264425619 unique ideals
- Sat Sep 19 01:43:11 2026 reduce to 319980976 relations and 252567846 ideals in 10 passes
- Sat Sep 19 01:43:11 2026 max relations containing the same ideal: 200
- Sat Sep 19 01:45:11 2026 removing 10184646 relations and 8184646 ideals in 2000000 cliques
- Sat Sep 19 01:45:17 2026 commencing in-memory singleton removal
- Sat Sep 19 01:45:22 2026 begin with 309796330 relations and 252567846 unique ideals
- Sat Sep 19 01:45:51 2026 reduce to 309542366 relations and 244127427 ideals in 7 passes
- Sat Sep 19 01:45:51 2026 max relations containing the same ideal: 197
- Sat Sep 19 01:47:35 2026 removing 9146692 relations and 7146692 ideals in 2000000 cliques
- Sat Sep 19 01:47:40 2026 commencing in-memory singleton removal
- Sat Sep 19 01:47:45 2026 begin with 300395674 relations and 244127427 unique ideals
- Sat Sep 19 01:48:15 2026 reduce to 300178164 relations and 236761724 ideals in 7 passes
- Sat Sep 19 01:48:15 2026 max relations containing the same ideal: 196
- Sat Sep 19 01:49:56 2026 removing 8561826 relations and 6561826 ideals in 2000000 cliques
- Sat Sep 19 01:50:01 2026 commencing in-memory singleton removal
- Sat Sep 19 01:50:05 2026 begin with 291616338 relations and 236761724 unique ideals
- Sat Sep 19 01:50:33 2026 reduce to 291417505 relations and 229999766 ideals in 7 passes
- Sat Sep 19 01:50:33 2026 max relations containing the same ideal: 193
- Sat Sep 19 01:52:11 2026 removing 8168521 relations and 6168521 ideals in 2000000 cliques
- Sat Sep 19 01:52:16 2026 commencing in-memory singleton removal
- Sat Sep 19 01:52:20 2026 begin with 283248984 relations and 229999766 unique ideals
- Sat Sep 19 01:52:47 2026 reduce to 283060415 relations and 223641428 ideals in 7 passes
- Sat Sep 19 01:52:47 2026 max relations containing the same ideal: 191
- Sat Sep 19 01:54:27 2026 removing 7885630 relations and 5885630 ideals in 2000000 cliques
- Sat Sep 19 01:54:31 2026 commencing in-memory singleton removal
- Sat Sep 19 01:54:36 2026 begin with 275174785 relations and 223641428 unique ideals
- Sat Sep 19 01:54:56 2026 reduce to 274995172 relations and 217574953 ideals in 6 passes
- Sat Sep 19 01:54:56 2026 max relations containing the same ideal: 188
- Sat Sep 19 01:56:27 2026 removing 7672189 relations and 5672189 ideals in 2000000 cliques
- Sat Sep 19 01:56:31 2026 commencing in-memory singleton removal
- Sat Sep 19 01:56:35 2026 begin with 267322983 relations and 217574953 unique ideals
- Sat Sep 19 01:56:54 2026 reduce to 267146660 relations and 211725205 ideals in 6 passes
- Sat Sep 19 01:56:54 2026 max relations containing the same ideal: 186
- Sat Sep 19 01:58:18 2026 removing 7501554 relations and 5501554 ideals in 2000000 cliques
- Sat Sep 19 01:58:22 2026 commencing in-memory singleton removal
- Sat Sep 19 01:58:26 2026 begin with 259645106 relations and 211725205 unique ideals
- Sat Sep 19 01:58:44 2026 reduce to 259471220 relations and 206048492 ideals in 6 passes
- Sat Sep 19 01:58:44 2026 max relations containing the same ideal: 182
- Sat Sep 19 02:00:04 2026 removing 7372786 relations and 5372786 ideals in 2000000 cliques
- Sat Sep 19 02:00:08 2026 commencing in-memory singleton removal
- Sat Sep 19 02:00:12 2026 begin with 252098434 relations and 206048492 unique ideals
- Sat Sep 19 02:00:30 2026 reduce to 251928592 relations and 200504618 ideals in 6 passes
- Sat Sep 19 02:00:30 2026 max relations containing the same ideal: 178
- Sat Sep 19 02:01:49 2026 removing 7262073 relations and 5262073 ideals in 2000000 cliques
- Sat Sep 19 02:01:53 2026 commencing in-memory singleton removal
- Sat Sep 19 02:01:57 2026 begin with 244666519 relations and 200504618 unique ideals
- Sat Sep 19 02:02:16 2026 reduce to 244496246 relations and 195070949 ideals in 6 passes
- Sat Sep 19 02:02:16 2026 max relations containing the same ideal: 174
- Sat Sep 19 02:03:34 2026 removing 7176044 relations and 5176044 ideals in 2000000 cliques
- Sat Sep 19 02:03:37 2026 commencing in-memory singleton removal
- Sat Sep 19 02:03:41 2026 begin with 237320202 relations and 195070949 unique ideals
- Sat Sep 19 02:03:57 2026 reduce to 237148716 relations and 189722077 ideals in 6 passes
- Sat Sep 19 02:03:57 2026 max relations containing the same ideal: 174
- Sat Sep 19 02:05:16 2026 removing 7105620 relations and 5105620 ideals in 2000000 cliques
- Sat Sep 19 02:05:20 2026 commencing in-memory singleton removal
- Sat Sep 19 02:05:24 2026 begin with 230043096 relations and 189722077 unique ideals
- Sat Sep 19 02:05:39 2026 reduce to 229870400 relations and 184442288 ideals in 6 passes
- Sat Sep 19 02:05:39 2026 max relations containing the same ideal: 171
- Sat Sep 19 02:06:53 2026 removing 7044116 relations and 5044116 ideals in 2000000 cliques
- Sat Sep 19 02:06:57 2026 commencing in-memory singleton removal
- Sat Sep 19 02:07:00 2026 begin with 222826284 relations and 184442288 unique ideals
- Sat Sep 19 02:07:20 2026 reduce to 222650560 relations and 179220998 ideals in 6 passes
- Sat Sep 19 02:07:20 2026 max relations containing the same ideal: 169
- Sat Sep 19 02:08:31 2026 removing 6994350 relations and 4994351 ideals in 2000000 cliques
- Sat Sep 19 02:08:35 2026 commencing in-memory singleton removal
- Sat Sep 19 02:08:38 2026 begin with 215656210 relations and 179220998 unique ideals
- Sat Sep 19 02:08:54 2026 reduce to 215479380 relations and 174048270 ideals in 6 passes
- Sat Sep 19 02:08:54 2026 max relations containing the same ideal: 162
- Sat Sep 19 02:10:02 2026 removing 6958908 relations and 4958908 ideals in 2000000 cliques
- Sat Sep 19 02:10:05 2026 commencing in-memory singleton removal
- Sat Sep 19 02:10:08 2026 begin with 208520472 relations and 174048270 unique ideals
- Sat Sep 19 02:10:23 2026 reduce to 208340358 relations and 168907593 ideals in 6 passes
- Sat Sep 19 02:10:23 2026 max relations containing the same ideal: 158
- Sat Sep 19 02:11:27 2026 removing 6927512 relations and 4927512 ideals in 2000000 cliques
- Sat Sep 19 02:11:30 2026 commencing in-memory singleton removal
- Sat Sep 19 02:11:33 2026 begin with 201412846 relations and 168907593 unique ideals
- Sat Sep 19 02:11:46 2026 reduce to 201226680 relations and 163792194 ideals in 6 passes
- Sat Sep 19 02:11:46 2026 max relations containing the same ideal: 155
- Sat Sep 19 02:12:49 2026 removing 6904820 relations and 4904820 ideals in 2000000 cliques
- Sat Sep 19 02:12:53 2026 commencing in-memory singleton removal
- Sat Sep 19 02:12:56 2026 begin with 194321860 relations and 163792194 unique ideals
- Sat Sep 19 02:13:11 2026 reduce to 194132495 relations and 158696122 ideals in 6 passes
- Sat Sep 19 02:13:11 2026 max relations containing the same ideal: 152
- Sat Sep 19 02:14:16 2026 removing 6889690 relations and 4889690 ideals in 2000000 cliques
- Sat Sep 19 02:14:20 2026 commencing in-memory singleton removal
- Sat Sep 19 02:14:22 2026 begin with 187242805 relations and 158696122 unique ideals
- Sat Sep 19 02:14:37 2026 reduce to 187047754 relations and 153609352 ideals in 7 passes
- Sat Sep 19 02:14:37 2026 max relations containing the same ideal: 149
- Sat Sep 19 02:15:35 2026 removing 6884035 relations and 4884035 ideals in 2000000 cliques
- Sat Sep 19 02:15:37 2026 commencing in-memory singleton removal
- Sat Sep 19 02:15:40 2026 begin with 180163719 relations and 153609352 unique ideals
- Sat Sep 19 02:15:50 2026 reduce to 179962746 relations and 148522146 ideals in 7 passes
- Sat Sep 19 02:15:50 2026 max relations containing the same ideal: 143
- Sat Sep 19 02:16:52 2026 removing 6883550 relations and 4883550 ideals in 2000000 cliques
- Sat Sep 19 02:16:55 2026 commencing in-memory singleton removal
- Sat Sep 19 02:16:58 2026 begin with 173079196 relations and 148522146 unique ideals
- Sat Sep 19 02:17:12 2026 reduce to 172871186 relations and 143428215 ideals in 6 passes
- Sat Sep 19 02:17:12 2026 max relations containing the same ideal: 139
- Sat Sep 19 02:18:12 2026 removing 6885368 relations and 4885368 ideals in 2000000 cliques
- Sat Sep 19 02:18:16 2026 commencing in-memory singleton removal
- Sat Sep 19 02:18:19 2026 begin with 165985818 relations and 143428215 unique ideals
- Sat Sep 19 02:18:33 2026 reduce to 165768123 relations and 138322703 ideals in 7 passes
- Sat Sep 19 02:18:33 2026 max relations containing the same ideal: 136
- Sat Sep 19 02:19:48 2026 removing 6903796 relations and 4903796 ideals in 2000000 cliques
- Sat Sep 19 02:19:51 2026 commencing in-memory singleton removal
- Sat Sep 19 02:19:54 2026 begin with 158864327 relations and 138322703 unique ideals
- Sat Sep 19 02:20:10 2026 reduce to 158638646 relations and 133190529 ideals in 8 passes
- Sat Sep 19 02:20:10 2026 max relations containing the same ideal: 131
- Sat Sep 19 02:21:22 2026 removing 6920659 relations and 4920659 ideals in 2000000 cliques
- Sat Sep 19 02:21:25 2026 commencing in-memory singleton removal
- Sat Sep 19 02:21:28 2026 begin with 151717987 relations and 133190529 unique ideals
- Sat Sep 19 02:21:39 2026 reduce to 151480168 relations and 128029087 ideals in 6 passes
- Sat Sep 19 02:21:39 2026 max relations containing the same ideal: 126
- Sat Sep 19 02:22:48 2026 removing 6946957 relations and 4946957 ideals in 2000000 cliques
- Sat Sep 19 02:22:51 2026 commencing in-memory singleton removal
- Sat Sep 19 02:22:54 2026 begin with 144533211 relations and 128029087 unique ideals
- Sat Sep 19 02:23:07 2026 reduce to 144283037 relations and 122828759 ideals in 7 passes
- Sat Sep 19 02:23:07 2026 max relations containing the same ideal: 123
- Sat Sep 19 02:24:13 2026 removing 6980726 relations and 4980726 ideals in 2000000 cliques
- Sat Sep 19 02:24:16 2026 commencing in-memory singleton removal
- Sat Sep 19 02:24:18 2026 begin with 137302311 relations and 122828759 unique ideals
- Sat Sep 19 02:24:30 2026 reduce to 137038337 relations and 117580559 ideals in 7 passes
- Sat Sep 19 02:24:30 2026 max relations containing the same ideal: 121
- Sat Sep 19 02:25:35 2026 removing 7024269 relations and 5024269 ideals in 2000000 cliques
- Sat Sep 19 02:25:38 2026 commencing in-memory singleton removal
- Sat Sep 19 02:25:40 2026 begin with 130014068 relations and 117580559 unique ideals
- Sat Sep 19 02:25:52 2026 reduce to 129733802 relations and 112272225 ideals in 7 passes
- Sat Sep 19 02:25:52 2026 max relations containing the same ideal: 116
- Sat Sep 19 02:26:53 2026 removing 7080640 relations and 5080640 ideals in 2000000 cliques
- Sat Sep 19 02:26:56 2026 commencing in-memory singleton removal
- Sat Sep 19 02:26:58 2026 begin with 122653162 relations and 112272225 unique ideals
- Sat Sep 19 02:27:08 2026 reduce to 122354018 relations and 106888177 ideals in 7 passes
- Sat Sep 19 02:27:08 2026 max relations containing the same ideal: 112
- Sat Sep 19 02:28:05 2026 removing 7144937 relations and 5144937 ideals in 2000000 cliques
- Sat Sep 19 02:28:08 2026 commencing in-memory singleton removal
- Sat Sep 19 02:28:09 2026 begin with 115209081 relations and 106888177 unique ideals
- Sat Sep 19 02:28:20 2026 reduce to 114886926 relations and 101416245 ideals in 7 passes
- Sat Sep 19 02:28:20 2026 max relations containing the same ideal: 107
- Sat Sep 19 02:29:13 2026 removing 7218680 relations and 5218680 ideals in 2000000 cliques
- Sat Sep 19 02:29:15 2026 commencing in-memory singleton removal
- Sat Sep 19 02:29:17 2026 begin with 107668246 relations and 101416245 unique ideals
- Sat Sep 19 02:29:27 2026 reduce to 107317377 relations and 95841301 ideals in 7 passes
- Sat Sep 19 02:29:27 2026 max relations containing the same ideal: 103
- Sat Sep 19 02:30:17 2026 removing 7312109 relations and 5312109 ideals in 2000000 cliques
- Sat Sep 19 02:30:19 2026 commencing in-memory singleton removal
- Sat Sep 19 02:30:21 2026 begin with 100005268 relations and 95841301 unique ideals
- Sat Sep 19 02:30:31 2026 reduce to 99620848 relations and 90138488 ideals in 8 passes
- Sat Sep 19 02:30:31 2026 max relations containing the same ideal: 98
- Sat Sep 19 02:31:18 2026 removing 7421477 relations and 5421477 ideals in 2000000 cliques
- Sat Sep 19 02:31:20 2026 commencing in-memory singleton removal
- Sat Sep 19 02:31:21 2026 begin with 92199371 relations and 90138488 unique ideals
- Sat Sep 19 02:31:30 2026 reduce to 91773284 relations and 84283624 ideals in 8 passes
- Sat Sep 19 02:31:30 2026 max relations containing the same ideal: 96
- Sat Sep 19 02:32:14 2026 removing 7544555 relations and 5544555 ideals in 2000000 cliques
- Sat Sep 19 02:32:17 2026 commencing in-memory singleton removal
- Sat Sep 19 02:32:18 2026 begin with 84228729 relations and 84283624 unique ideals
- Sat Sep 19 02:32:26 2026 reduce to 83748646 relations and 78250000 ideals in 8 passes
- Sat Sep 19 02:32:26 2026 max relations containing the same ideal: 91
- Sat Sep 19 02:33:07 2026 removing 7704736 relations and 5704736 ideals in 2000000 cliques
- Sat Sep 19 02:33:09 2026 commencing in-memory singleton removal
- Sat Sep 19 02:33:10 2026 begin with 76043910 relations and 78250000 unique ideals
- Sat Sep 19 02:33:17 2026 reduce to 75492128 relations and 71982586 ideals in 8 passes
- Sat Sep 19 02:33:17 2026 max relations containing the same ideal: 86
- Sat Sep 19 02:33:54 2026 removing 6366831 relations and 4833834 ideals in 1532997 cliques
- Sat Sep 19 02:33:56 2026 commencing in-memory singleton removal
- Sat Sep 19 02:33:57 2026 begin with 69125297 relations and 71982586 unique ideals
- Sat Sep 19 02:34:04 2026 reduce to 68711363 relations and 66727682 ideals in 8 passes
- Sat Sep 19 02:34:04 2026 max relations containing the same ideal: 78
- Sat Sep 19 02:34:38 2026 trying target density 90
- Sat Sep 19 02:34:44 2026 relations with 0 large ideals: 6426
- Sat Sep 19 02:34:44 2026 relations with 1 large ideals: 30721
- Sat Sep 19 02:34:44 2026 relations with 2 large ideals: 444600
- Sat Sep 19 02:34:44 2026 relations with 3 large ideals: 2679630
- Sat Sep 19 02:34:44 2026 relations with 4 large ideals: 8568620
- Sat Sep 19 02:34:44 2026 relations with 5 large ideals: 16166618
- Sat Sep 19 02:34:44 2026 relations with 6 large ideals: 18892684
- Sat Sep 19 02:34:44 2026 relations with 7+ large ideals: 21922064
- Sat Sep 19 02:34:44 2026 commencing 2-way merge
- Sat Sep 19 02:35:33 2026 reduce to 42271570 relation sets and 40287889 unique ideals
- Sat Sep 19 02:35:33 2026 commencing full merge
- Sat Sep 19 02:49:55 2026 memory use: 4899.9 MB
- Sat Sep 19 02:50:02 2026 found 21087159 cycles, need 20816089
- Sat Sep 19 02:50:10 2026 weight of 20816089 cycles is about 1873723276 (90.01/cycle)
- Sat Sep 19 02:50:10 2026 distribution of cycle lengths:
- Sat Sep 19 02:50:10 2026 1 relations: 2094715
- Sat Sep 19 02:50:10 2026 2 relations: 1958398
- Sat Sep 19 02:50:10 2026 3 relations: 1995532
- Sat Sep 19 02:50:10 2026 4 relations: 1957787
- Sat Sep 19 02:50:10 2026 5 relations: 1918838
- Sat Sep 19 02:50:10 2026 6 relations: 1850979
- Sat Sep 19 02:50:10 2026 7 relations: 1714528
- Sat Sep 19 02:50:10 2026 8 relations: 1532180
- Sat Sep 19 02:50:10 2026 9 relations: 1328504
- Sat Sep 19 02:50:10 2026 10+ relations: 4464628
- Sat Sep 19 02:50:10 2026 heaviest cycle: 21 relations
- Sat Sep 19 02:50:17 2026 commencing cycle optimization
- Sat Sep 19 02:51:03 2026 start with 131855638 relations
- Sat Sep 19 02:55:11 2026 pruned 3964520 relations
- Sat Sep 19 02:55:14 2026 memory use: 4155.1 MB
- Sat Sep 19 02:55:14 2026 distribution of cycle lengths:
- Sat Sep 19 02:55:14 2026 1 relations: 2094715
- Sat Sep 19 02:55:14 2026 2 relations: 2003948
- Sat Sep 19 02:55:14 2026 3 relations: 2067288
- Sat Sep 19 02:55:14 2026 4 relations: 2017478
- Sat Sep 19 02:55:14 2026 5 relations: 1989770
- Sat Sep 19 02:55:14 2026 6 relations: 1908185
- Sat Sep 19 02:55:14 2026 7 relations: 1768145
- Sat Sep 19 02:55:14 2026 8 relations: 1563148
- Sat Sep 19 02:55:14 2026 9 relations: 1343117
- Sat Sep 19 02:55:14 2026 10+ relations: 4060295
- Sat Sep 19 02:55:14 2026 heaviest cycle: 21 relations
- Sat Sep 19 02:56:01 2026 trying target density 110
- Sat Sep 19 02:56:07 2026 relations with 0 large ideals: 6426
- Sat Sep 19 02:56:07 2026 relations with 1 large ideals: 30721
- Sat Sep 19 02:56:07 2026 relations with 2 large ideals: 444600
- Sat Sep 19 02:56:07 2026 relations with 3 large ideals: 2679630
- Sat Sep 19 02:56:07 2026 relations with 4 large ideals: 8568620
- Sat Sep 19 02:56:07 2026 relations with 5 large ideals: 16166618
- Sat Sep 19 02:56:07 2026 relations with 6 large ideals: 18892684
- Sat Sep 19 02:56:07 2026 relations with 7+ large ideals: 21922064
- Sat Sep 19 02:56:07 2026 commencing 2-way merge
- Sat Sep 19 02:56:52 2026 reduce to 42271570 relation sets and 40287889 unique ideals
- Sat Sep 19 02:56:52 2026 commencing full merge
- Sat Sep 19 03:14:29 2026 memory use: 5048.7 MB
- Sat Sep 19 03:14:35 2026 found 19686905 cycles, need 19460089
- Sat Sep 19 03:14:42 2026 weight of 19460089 cycles is about 2140610631 (110.00/cycle)
- Sat Sep 19 03:14:42 2026 distribution of cycle lengths:
- Sat Sep 19 03:14:42 2026 1 relations: 1452301
- Sat Sep 19 03:14:42 2026 2 relations: 1475521
- Sat Sep 19 03:14:42 2026 3 relations: 1537418
- Sat Sep 19 03:14:42 2026 4 relations: 1510936
- Sat Sep 19 03:14:42 2026 5 relations: 1515113
- Sat Sep 19 03:14:42 2026 6 relations: 1500115
- Sat Sep 19 03:14:42 2026 7 relations: 1445215
- Sat Sep 19 03:14:42 2026 8 relations: 1374724
- Sat Sep 19 03:14:42 2026 9 relations: 1269080
- Sat Sep 19 03:14:42 2026 10+ relations: 6379666
- Sat Sep 19 03:14:42 2026 heaviest cycle: 25 relations
- Sat Sep 19 03:14:48 2026 commencing cycle optimization
- Sat Sep 19 03:15:37 2026 start with 150179261 relations
- Sat Sep 19 03:21:41 2026 pruned 5658044 relations
- Sat Sep 19 03:21:41 2026 memory use: 4347.0 MB
- Sat Sep 19 03:21:41 2026 distribution of cycle lengths:
- Sat Sep 19 03:21:41 2026 1 relations: 1452301
- Sat Sep 19 03:21:41 2026 2 relations: 1511452
- Sat Sep 19 03:21:41 2026 3 relations: 1595888
- Sat Sep 19 03:21:41 2026 4 relations: 1564583
- Sat Sep 19 03:21:41 2026 5 relations: 1580043
- Sat Sep 19 03:21:41 2026 6 relations: 1559149
- Sat Sep 19 03:21:41 2026 7 relations: 1510014
- Sat Sep 19 03:21:41 2026 8 relations: 1426551
- Sat Sep 19 03:21:41 2026 9 relations: 1312018
- Sat Sep 19 03:21:41 2026 10+ relations: 5948090
- Sat Sep 19 03:21:41 2026 heaviest cycle: 25 relations
- Sat Sep 19 03:22:28 2026 trying target density 130
- Sat Sep 19 03:22:34 2026 relations with 0 large ideals: 6426
- Sat Sep 19 03:22:34 2026 relations with 1 large ideals: 30721
- Sat Sep 19 03:22:34 2026 relations with 2 large ideals: 444600
- Sat Sep 19 03:22:34 2026 relations with 3 large ideals: 2679630
- Sat Sep 19 03:22:34 2026 relations with 4 large ideals: 8568620
- Sat Sep 19 03:22:34 2026 relations with 5 large ideals: 16166618
- Sat Sep 19 03:22:34 2026 relations with 6 large ideals: 18892684
- Sat Sep 19 03:22:34 2026 relations with 7+ large ideals: 21922064
- Sat Sep 19 03:22:34 2026 commencing 2-way merge
- Sat Sep 19 03:23:19 2026 reduce to 42271570 relation sets and 40287889 unique ideals
- Sat Sep 19 03:23:19 2026 commencing full merge
- Sat Sep 19 03:43:44 2026 memory use: 5142.7 MB
- Sat Sep 19 03:43:52 2026 found 18570557 cycles, need 18472089
- Sat Sep 19 03:43:58 2026 weight of 18472089 cycles is about 2401651039 (130.02/cycle)
- Sat Sep 19 03:43:58 2026 distribution of cycle lengths:
- Sat Sep 19 03:43:58 2026 1 relations: 1018435
- Sat Sep 19 03:43:58 2026 2 relations: 1164788
- Sat Sep 19 03:43:58 2026 3 relations: 1233348
- Sat Sep 19 03:43:58 2026 4 relations: 1229669
- Sat Sep 19 03:43:58 2026 5 relations: 1241913
- Sat Sep 19 03:43:58 2026 6 relations: 1233702
- Sat Sep 19 03:43:58 2026 7 relations: 1234193
- Sat Sep 19 03:43:58 2026 8 relations: 1191652
- Sat Sep 19 03:43:58 2026 9 relations: 1141099
- Sat Sep 19 03:43:58 2026 10+ relations: 7783290
- Sat Sep 19 03:43:58 2026 heaviest cycle: 28 relations
- Sat Sep 19 03:44:03 2026 commencing cycle optimization
- Sat Sep 19 03:44:56 2026 start with 167843841 relations
- Sat Sep 19 03:53:05 2026 pruned 7437231 relations
- Sat Sep 19 03:53:05 2026 memory use: 4528.1 MB
- Sat Sep 19 03:53:05 2026 distribution of cycle lengths:
- Sat Sep 19 03:53:05 2026 1 relations: 1018435
- Sat Sep 19 03:53:05 2026 2 relations: 1193488
- Sat Sep 19 03:53:05 2026 3 relations: 1282234
- Sat Sep 19 03:53:05 2026 4 relations: 1276033
- Sat Sep 19 03:53:05 2026 5 relations: 1299575
- Sat Sep 19 03:53:05 2026 6 relations: 1290577
- Sat Sep 19 03:53:05 2026 7 relations: 1296330
- Sat Sep 19 03:53:05 2026 8 relations: 1248844
- Sat Sep 19 03:53:05 2026 9 relations: 1197248
- Sat Sep 19 03:53:05 2026 10+ relations: 7369325
- Sat Sep 19 03:53:05 2026 heaviest cycle: 28 relations
- Sat Sep 19 03:53:53 2026 RelProcTime: 14251
- Sat Sep 19 03:53:53 2026
- Sat Sep 19 03:53:53 2026 commencing linear algebra
- Sat Sep 19 03:53:53 2026 using VBITS=256
- Sat Sep 19 03:53:53 2026 building matrices for all densities
- Sat Sep 19 03:53:53 2026 found 3 density files
- Sat Sep 19 03:53:53 2026 building matrix for density 90
- Sat Sep 19 03:53:57 2026 read 20816089 cycles
- Sat Sep 19 03:54:35 2026 cycles contain 67453115 unique relations
- Sat Sep 19 04:03:55 2026 read 67453115 relations
- Sat Sep 19 04:04:30 2026 using 20 quadratic characters above 4294917295
- Sat Sep 19 04:05:01 2026 building initial matrix
- Sat Sep 19 04:18:20 2026 memory use: 9603.5 MB
- Sat Sep 19 04:18:45 2026 read 20816089 cycles
- Sat Sep 19 04:18:48 2026 matrix is 20815910 x 20816089 (7776.1 MB) with weight 2410290098 (115.79/col)
- Sat Sep 19 04:18:48 2026 sparse part has weight 1788676226 (85.93/col)
- Sat Sep 19 04:22:21 2026 filtering completed in 2 passes
- Sat Sep 19 04:22:27 2026 matrix is 20811418 x 20811597 (7775.7 MB) with weight 2410103569 (115.81/col)
- Sat Sep 19 04:22:27 2026 sparse part has weight 1788623549 (85.94/col)
- Sat Sep 19 04:23:13 2026 building matrix for density 110
- Sat Sep 19 04:23:14 2026 read 19460089 cycles
- Sat Sep 19 04:23:47 2026 cycles contain 67475119 unique relations
- Sat Sep 19 04:31:05 2026 read 67475119 relations
- Sat Sep 19 04:31:45 2026 using 20 quadratic characters above 4294917295
- Sat Sep 19 04:32:15 2026 building initial matrix
- Sat Sep 19 04:47:00 2026 memory use: 9315.6 MB
- Sat Sep 19 04:47:22 2026 read 19460089 cycles
- Sat Sep 19 04:47:25 2026 matrix is 19459909 x 19460089 (8573.8 MB) with weight 2632036293 (135.25/col)
- Sat Sep 19 04:47:25 2026 sparse part has weight 2014041717 (103.50/col)
- Sat Sep 19 04:50:32 2026 filtering completed in 2 passes
- Sat Sep 19 04:50:37 2026 matrix is 19457875 x 19458055 (8573.6 MB) with weight 2631941818 (135.26/col)
- Sat Sep 19 04:50:37 2026 sparse part has weight 2014013377 (103.51/col)
- Sat Sep 19 04:51:37 2026 building matrix for density 130
- Sat Sep 19 04:51:39 2026 read 18472089 cycles
- Sat Sep 19 04:52:13 2026 cycles contain 67478142 unique relations
- Sat Sep 19 05:04:35 2026 read 67478142 relations
- Sat Sep 19 05:05:27 2026 using 20 quadratic characters above 4294917295
- Sat Sep 19 05:06:00 2026 building initial matrix
- Sat Sep 19 05:24:04 2026 memory use: 9346.4 MB
- Sat Sep 19 05:25:16 2026 read 18472089 cycles
- Sat Sep 19 05:25:18 2026 matrix is 18471912 x 18472089 (9356.3 MB) with weight 2847317113 (154.14/col)
- Sat Sep 19 05:25:18 2026 sparse part has weight 2231027371 (120.78/col)
- Sat Sep 19 05:29:05 2026 filtering completed in 2 passes
- Sat Sep 19 05:29:11 2026 matrix is 18471344 x 18471521 (9356.2 MB) with weight 2847289856 (154.14/col)
- Sat Sep 19 05:29:11 2026 sparse part has weight 2231020241 (120.78/col)
- Sat Sep 19 05:30:12 2026 BLanczosTime: 5779
- Sat Sep 19 05:30:12 2026 elapsed time 05:33:50
- Sat Sep 19 16:42:50 2026
- Sat Sep 19 16:42:50 2026
- Sat Sep 19 16:42:50 2026 Msieve v. 1.54 (SVN unknown)
- Sat Sep 19 16:42:50 2026 random seeds: 0c15641b 964cdc52
- Sat Sep 19 16:42:50 2026 factoring 475377978699365163451580979008546635165639210188204729191997700391506306367788849867259632192232785795268929098713321259086034897432311351694366239156132740038773047676559614650183053371 (186 digits)
- Sat Sep 19 16:42:51 2026 no P-1/P+1/ECM available, skipping
- Sat Sep 19 16:42:51 2026 commencing number field sieve (186-digit input)
- Sat Sep 19 16:42:51 2026 R0: -1233726978244884673740320353192974937
- Sat Sep 19 16:42:51 2026 R1: 32362082193466525685419
- Sat Sep 19 16:42:51 2026 A0: -599376999928162305803555883162290018836128
- Sat Sep 19 16:42:51 2026 A1: 124457465840212903388052455301040000
- Sat Sep 19 16:42:51 2026 A2: 26849565633651469034429709702
- Sat Sep 19 16:42:51 2026 A3: -3198155584644813168349
- Sat Sep 19 16:42:51 2026 A4: -222277630016778
- Sat Sep 19 16:42:51 2026 A5: 3492720
- Sat Sep 19 16:42:51 2026 skew 12856991.27, size 5.954e-18, alpha -7.074, combined = 5.436e-14 rroots = 5
- Sat Sep 19 16:42:51 2026
- Sat Sep 19 16:42:51 2026 commencing linear algebra
- Sat Sep 19 16:42:51 2026 using VBITS=256
- Sat Sep 19 16:42:51 2026 skipping matrix build
- Sat Sep 19 16:43:48 2026 matrix starts at (0, 0)
- Sat Sep 19 16:43:50 2026 matrix is 18471344 x 18471521 (9356.2 MB) with weight 2847289856 (154.14/col)
- Sat Sep 19 16:43:50 2026 sparse part has weight 2231020241 (120.78/col)
- Sat Sep 19 16:43:50 2026 saving the first 240 matrix rows for later
- Sat Sep 19 16:43:57 2026 matrix includes 256 packed rows
- Sat Sep 19 16:44:03 2026 matrix is 18471104 x 18471521 (8587.4 MB) with weight 2068174781 (111.97/col)
- Sat Sep 19 16:44:03 2026 sparse part has weight 1955588170 (105.87/col)
- Sat Sep 19 16:44:03 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
- Sat Sep 19 16:44:03 2026 selected card has CUDA arch 12.0
- Sat Sep 19 16:44:04 2026 computed block_nnz 166519813 (L2 cache 100663296 bytes, average column weight 105.9)
- Sat Sep 19 16:44:04 2026 nonzeros per matrix block: 256000000
- Sat Sep 19 16:49:19 2026 commencing Lanczos iteration
- Sat Sep 19 16:49:21 2026 memory use: 20557.0 MB
- Sat Sep 19 16:49:37 2026 linear algebra at 0.2%, ETA 2h30m
- Sat Sep 19 16:50:00 2026 checking every 120000 dimensions, checkpointing every 7320000 dimensions
- Sat Sep 19 19:21:49 2026 lanczos halted after 72371 iterations (dim = 18471102)
- Sat Sep 19 19:23:46 2026 recovered 29 nontrivial dependencies
- Sat Sep 19 19:23:47 2026 BLanczosTime: 9656
- Sat Sep 19 19:23:47 2026 elapsed time 02:40:57
- Sat Sep 19 15:54:56 2026
- Sat Sep 19 15:54:56 2026
- Sat Sep 19 15:54:56 2026 Msieve v. 1.54 (SVN unknown)
- Sat Sep 19 15:54:56 2026 random seeds: c1e4b9a8 45383a15
- Sat Sep 19 15:54:56 2026 Using 14 OpenMP threads
- Sat Sep 19 15:54:56 2026 factoring 475377978699365163451580979008546635165639210188204729191997700391506306367788849867259632192232785795268929098713321259086034897432311351694366239156132740038773047676559614650183053371 (186 digits)
- Sat Sep 19 15:54:56 2026 no P-1/P+1/ECM available, skipping
- Sat Sep 19 15:54:56 2026 commencing number field sieve (186-digit input)
- Sat Sep 19 15:54:56 2026 R0: -1233726978244884673740320353192974937
- Sat Sep 19 15:54:56 2026 R1: 32362082193466525685419
- Sat Sep 19 15:54:56 2026 A0: -599376999928162305803555883162290018836128
- Sat Sep 19 15:54:56 2026 A1: 124457465840212903388052455301040000
- Sat Sep 19 15:54:56 2026 A2: 26849565633651469034429709702
- Sat Sep 19 15:54:56 2026 A3: -3198155584644813168349
- Sat Sep 19 15:54:56 2026 A4: -222277630016778
- Sat Sep 19 15:54:56 2026 A5: 3492720
- Sat Sep 19 15:54:56 2026 skew 12856991.27, size 5.954e-18, alpha -7.074, combined = 5.436e-14 rroots = 5
- Sat Sep 19 15:54:56 2026
- Sat Sep 19 15:54:56 2026 commencing square root phase
- Sat Sep 19 15:54:56 2026 reading relations for dependency 1
- Sat Sep 19 15:55:10 2026 read 9236034 cycles
- Sat Sep 19 15:55:32 2026 cycles contain 33743446 unique relations
- Sat Sep 19 16:05:55 2026 read 33743446 relations
- Sat Sep 19 16:08:33 2026 multiplying 33743446 relations
- Sat Sep 19 16:12:38 2026 multiply complete, coefficients have about 2072.06 million bits
- Sat Sep 19 16:12:44 2026 initial square root is modulo 1970901271
- Sat Sep 19 16:19:49 2026 sqrtTime: 1493
- Sat Sep 19 16:19:49 2026 p84 factor: 587647720684179556322119517182520836139036043647349845328157135449647206287187942007
- Sat Sep 19 16:19:49 2026 p102 factor: 808950604191738713781050097325427056567434809695860207672922453715087634600220962854615468930937161053
- Sat Sep 19 16:19:49 2026 elapsed time 00:24:53
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