C268_147_73.msieve.log

Found 585477944 unique, 147640398 duplicate, and 14 bad relations.
Largest dimension used: 1980 of 4800
Average dimension used: 1786.8 of 4800

Sun Jul 28 12:35:37 2024  Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
Sun Jul 28 12:35:37 2024  random seeds: a9af4a76 c6e67d1e
Sun Jul 28 12:35:37 2024  factoring 8879245891236669785109050585151606653803917513157135899622195319050698895212767550525887271702433336901533180647371685173203724381957583080107401050155685800625168158073930192196071479985420389663355688656203058117295737387015281503666465056366971968747035543560240973 (268 digits)
Sun Jul 28 12:35:38 2024  no P-1/P+1/ECM available, skipping
Sun Jul 28 12:35:38 2024  commencing number field sieve (268-digit input)
Sun Jul 28 12:35:38 2024  R0: 101814121186119595835681841
Sun Jul 28 12:35:38 2024  R1: -524503804723748275248688345080154231098133441
Sun Jul 28 12:35:38 2024  A0: 389017
Sun Jul 28 12:35:38 2024  A1: 0
Sun Jul 28 12:35:38 2024  A2: 0
Sun Jul 28 12:35:38 2024  A3: 0
Sun Jul 28 12:35:38 2024  A4: 0
Sun Jul 28 12:35:38 2024  A5: 0
Sun Jul 28 12:35:38 2024  A6: 147
Sun Jul 28 12:35:38 2024  skew 3.72, size 4.842e-14, alpha -0.427, combined = 1.283e-14 rroots = 0
Sun Jul 28 12:35:38 2024
Sun Jul 28 12:35:38 2024  commencing relation filtering
Sun Jul 28 12:35:38 2024  setting target matrix density to 115.0
Sun Jul 28 12:35:38 2024  estimated available RAM is 1031034.2 MB
Sun Jul 28 12:35:39 2024  commencing duplicate removal, pass 1
Sun Jul 28 13:38:02 2024  skipped 6275 relations with b > 2^32
Sun Jul 28 13:38:02 2024  found 36506431 hash collisions in 585471661 relations
Sun Jul 28 13:38:12 2024  added 1218398 free relations
Sun Jul 28 13:38:12 2024  commencing duplicate removal, pass 2
Sun Jul 28 13:46:00 2024  found 0 duplicates and 586690059 unique relations
Sun Jul 28 13:46:00 2024  memory use: 1705.5 MB
Sun Jul 28 13:46:00 2024  reading ideals above 720000
Sun Jul 28 13:46:00 2024  commencing singleton removal, initial pass
Sun Jul 28 15:10:26 2024  memory use: 11024.0 MB
Sun Jul 28 15:10:26 2024  reading all ideals from disk
Sun Jul 28 15:10:32 2024  memory use: 30342.8 MB
Sun Jul 28 15:11:09 2024  keeping 491506840 ideals with weight <= 200, target excess is 3193427
Sun Jul 28 15:11:54 2024  commencing in-memory singleton removal
Sun Jul 28 15:12:38 2024  begin with 586690059 relations and 491506840 unique ideals
Sun Jul 28 15:17:09 2024  reduce to 417462030 relations and 308432492 ideals in 13 passes
Sun Jul 28 15:17:09 2024  max relations containing the same ideal: 172
Sun Jul 28 15:19:01 2024  removing 11644289 relations and 9644289 ideals in 2000000 cliques
Sun Jul 28 15:19:10 2024  commencing in-memory singleton removal
Sun Jul 28 15:19:41 2024  begin with 405817741 relations and 308432492 unique ideals
Sun Jul 28 15:21:48 2024  reduce to 405580310 relations and 298549177 ideals in 7 passes
Sun Jul 28 15:21:48 2024  max relations containing the same ideal: 168
Sun Jul 28 15:23:36 2024  removing 8920465 relations and 6920465 ideals in 2000000 cliques
Sun Jul 28 15:23:43 2024  commencing in-memory singleton removal
Sun Jul 28 15:24:13 2024  begin with 396659845 relations and 298549177 unique ideals
Sun Jul 28 15:26:00 2024  reduce to 396503297 relations and 291471302 ideals in 6 passes
Sun Jul 28 15:26:00 2024  max relations containing the same ideal: 165
Sun Jul 28 15:27:45 2024  removing 8049380 relations and 6049380 ideals in 2000000 cliques
Sun Jul 28 15:27:53 2024  commencing in-memory singleton removal
Sun Jul 28 15:28:23 2024  begin with 388453917 relations and 291471302 unique ideals
Sun Jul 28 15:30:07 2024  reduce to 388318335 relations and 285285588 ideals in 6 passes
Sun Jul 28 15:30:07 2024  max relations containing the same ideal: 163
Sun Jul 28 15:31:50 2024  removing 7549175 relations and 5549175 ideals in 2000000 cliques
Sun Jul 28 15:31:58 2024  commencing in-memory singleton removal
Sun Jul 28 15:32:27 2024  begin with 380769160 relations and 285285588 unique ideals
Sun Jul 28 15:34:09 2024  reduce to 380645541 relations and 279612123 ideals in 6 passes
Sun Jul 28 15:34:09 2024  max relations containing the same ideal: 162
Sun Jul 28 15:35:50 2024  removing 7214454 relations and 5214454 ideals in 2000000 cliques
Sun Jul 28 15:35:58 2024  commencing in-memory singleton removal
Sun Jul 28 15:36:26 2024  begin with 373431087 relations and 279612123 unique ideals
Sun Jul 28 15:38:06 2024  reduce to 373315903 relations and 274281822 ideals in 6 passes
Sun Jul 28 15:38:06 2024  max relations containing the same ideal: 160
Sun Jul 28 15:39:45 2024  removing 6975605 relations and 4975605 ideals in 2000000 cliques
Sun Jul 28 15:39:53 2024  commencing in-memory singleton removal
Sun Jul 28 15:40:21 2024  begin with 366340298 relations and 274281822 unique ideals
Sun Jul 28 15:41:59 2024  reduce to 366230669 relations and 269196020 ideals in 6 passes
Sun Jul 28 15:41:59 2024  max relations containing the same ideal: 158
Sun Jul 28 15:43:36 2024  removing 6789647 relations and 4789647 ideals in 2000000 cliques
Sun Jul 28 15:43:43 2024  commencing in-memory singleton removal
Sun Jul 28 15:44:10 2024  begin with 359441022 relations and 269196020 unique ideals
Sun Jul 28 15:45:46 2024  reduce to 359334871 relations and 264299615 ideals in 6 passes
Sun Jul 28 15:45:46 2024  max relations containing the same ideal: 156
Sun Jul 28 15:47:21 2024  removing 6641976 relations and 4641976 ideals in 2000000 cliques
Sun Jul 28 15:47:29 2024  commencing in-memory singleton removal
Sun Jul 28 15:47:55 2024  begin with 352692895 relations and 264299615 unique ideals
Sun Jul 28 15:49:29 2024  reduce to 352589472 relations and 259553615 ideals in 6 passes
Sun Jul 28 15:49:29 2024  max relations containing the same ideal: 154
Sun Jul 28 15:51:03 2024  removing 6525471 relations and 4525471 ideals in 2000000 cliques
Sun Jul 28 15:51:10 2024  commencing in-memory singleton removal
Sun Jul 28 15:51:36 2024  begin with 346064001 relations and 259553615 unique ideals
Sun Jul 28 15:53:22 2024  reduce to 345962519 relations and 254926105 ideals in 7 passes
Sun Jul 28 15:53:22 2024  max relations containing the same ideal: 154
Sun Jul 28 15:54:54 2024  removing 6428670 relations and 4428670 ideals in 2000000 cliques
Sun Jul 28 15:55:01 2024  commencing in-memory singleton removal
Sun Jul 28 15:55:27 2024  begin with 339533849 relations and 254926105 unique ideals
Sun Jul 28 15:56:57 2024  reduce to 339433562 relations and 250396499 ideals in 6 passes
Sun Jul 28 15:56:57 2024  max relations containing the same ideal: 150
Sun Jul 28 15:58:28 2024  removing 6345321 relations and 4345321 ideals in 2000000 cliques
Sun Jul 28 15:58:34 2024  commencing in-memory singleton removal
Sun Jul 28 15:58:59 2024  begin with 333088241 relations and 250396499 unique ideals
Sun Jul 28 16:00:27 2024  reduce to 332990198 relations and 245952491 ideals in 6 passes
Sun Jul 28 16:00:27 2024  max relations containing the same ideal: 150
Sun Jul 28 16:01:54 2024  removing 6272825 relations and 4272825 ideals in 2000000 cliques
Sun Jul 28 16:02:01 2024  commencing in-memory singleton removal
Sun Jul 28 16:02:26 2024  begin with 326717373 relations and 245952491 unique ideals
Sun Jul 28 16:03:52 2024  reduce to 326619606 relations and 241581249 ideals in 6 passes
Sun Jul 28 16:03:52 2024  max relations containing the same ideal: 148
Sun Jul 28 16:05:17 2024  removing 6214947 relations and 4214947 ideals in 2000000 cliques
Sun Jul 28 16:05:23 2024  commencing in-memory singleton removal
Sun Jul 28 16:05:47 2024  begin with 320404659 relations and 241581249 unique ideals
Sun Jul 28 16:07:11 2024  reduce to 320306833 relations and 237267782 ideals in 6 passes
Sun Jul 28 16:07:11 2024  max relations containing the same ideal: 148
Sun Jul 28 16:08:35 2024  removing 6157903 relations and 4157903 ideals in 2000000 cliques
Sun Jul 28 16:08:41 2024  commencing in-memory singleton removal
Sun Jul 28 16:09:05 2024  begin with 314148930 relations and 237267782 unique ideals
Sun Jul 28 16:10:28 2024  reduce to 314051434 relations and 233011671 ideals in 6 passes
Sun Jul 28 16:10:28 2024  max relations containing the same ideal: 145
Sun Jul 28 16:11:50 2024  removing 6112886 relations and 4112886 ideals in 2000000 cliques
Sun Jul 28 16:11:57 2024  commencing in-memory singleton removal
Sun Jul 28 16:12:20 2024  begin with 307938548 relations and 233011671 unique ideals
Sun Jul 28 16:13:41 2024  reduce to 307840886 relations and 228800395 ideals in 6 passes
Sun Jul 28 16:13:41 2024  max relations containing the same ideal: 144
Sun Jul 28 16:15:02 2024  removing 6071457 relations and 4071457 ideals in 2000000 cliques
Sun Jul 28 16:15:07 2024  commencing in-memory singleton removal
Sun Jul 28 16:15:29 2024  begin with 301769429 relations and 228800395 unique ideals
Sun Jul 28 16:17:02 2024  reduce to 301671833 relations and 224630558 ideals in 7 passes
Sun Jul 28 16:17:02 2024  max relations containing the same ideal: 142
Sun Jul 28 16:18:21 2024  removing 6036851 relations and 4036851 ideals in 2000000 cliques
Sun Jul 28 16:18:27 2024  commencing in-memory singleton removal
Sun Jul 28 16:18:49 2024  begin with 295634982 relations and 224630558 unique ideals
Sun Jul 28 16:19:54 2024  reduce to 295536921 relations and 220494873 ideals in 5 passes
Sun Jul 28 16:19:54 2024  max relations containing the same ideal: 139
Sun Jul 28 16:21:12 2024  removing 6003281 relations and 4003281 ideals in 2000000 cliques
Sun Jul 28 16:21:17 2024  commencing in-memory singleton removal
Sun Jul 28 16:21:39 2024  begin with 289533640 relations and 220494873 unique ideals
Sun Jul 28 16:22:54 2024  reduce to 289434829 relations and 216392000 ideals in 6 passes
Sun Jul 28 16:22:54 2024  max relations containing the same ideal: 137
Sun Jul 28 16:24:11 2024  removing 5977707 relations and 3977707 ideals in 2000000 cliques
Sun Jul 28 16:24:17 2024  commencing in-memory singleton removal
Sun Jul 28 16:24:38 2024  begin with 283457122 relations and 216392000 unique ideals
Sun Jul 28 16:25:40 2024  reduce to 283356576 relations and 212312922 ideals in 5 passes
Sun Jul 28 16:25:40 2024  max relations containing the same ideal: 136
Sun Jul 28 16:26:54 2024  removing 5954539 relations and 3954539 ideals in 2000000 cliques
Sun Jul 28 16:27:00 2024  commencing in-memory singleton removal
Sun Jul 28 16:27:21 2024  begin with 277402037 relations and 212312922 unique ideals
Sun Jul 28 16:28:33 2024  reduce to 277300656 relations and 208256128 ideals in 6 passes
Sun Jul 28 16:28:33 2024  max relations containing the same ideal: 134
Sun Jul 28 16:29:47 2024  removing 5934453 relations and 3934453 ideals in 2000000 cliques
Sun Jul 28 16:29:53 2024  commencing in-memory singleton removal
Sun Jul 28 16:30:13 2024  begin with 271366203 relations and 208256128 unique ideals
Sun Jul 28 16:31:24 2024  reduce to 271264005 relations and 204218539 ideals in 6 passes
Sun Jul 28 16:31:24 2024  max relations containing the same ideal: 131
Sun Jul 28 16:32:35 2024  removing 5915675 relations and 3915675 ideals in 2000000 cliques
Sun Jul 28 16:32:41 2024  commencing in-memory singleton removal
Sun Jul 28 16:33:00 2024  begin with 265348330 relations and 204218539 unique ideals
Sun Jul 28 16:34:22 2024  reduce to 265244525 relations and 200198132 ideals in 7 passes
Sun Jul 28 16:34:22 2024  max relations containing the same ideal: 129
Sun Jul 28 16:35:33 2024  removing 5899880 relations and 3899880 ideals in 2000000 cliques
Sun Jul 28 16:35:38 2024  commencing in-memory singleton removal
Sun Jul 28 16:35:57 2024  begin with 259344645 relations and 200198132 unique ideals
Sun Jul 28 16:37:05 2024  reduce to 259239824 relations and 196192419 ideals in 6 passes
Sun Jul 28 16:37:05 2024  max relations containing the same ideal: 128
Sun Jul 28 16:38:15 2024  removing 5889492 relations and 3889492 ideals in 2000000 cliques
Sun Jul 28 16:38:21 2024  commencing in-memory singleton removal
Sun Jul 28 16:38:39 2024  begin with 253350332 relations and 196192419 unique ideals
Sun Jul 28 16:39:57 2024  reduce to 253244169 relations and 192195709 ideals in 7 passes
Sun Jul 28 16:39:57 2024  max relations containing the same ideal: 125
Sun Jul 28 16:41:05 2024  removing 5877097 relations and 3877097 ideals in 2000000 cliques
Sun Jul 28 16:41:10 2024  commencing in-memory singleton removal
Sun Jul 28 16:41:28 2024  begin with 247367072 relations and 192195709 unique ideals
Sun Jul 28 16:42:22 2024  reduce to 247257596 relations and 188208034 ideals in 5 passes
Sun Jul 28 16:42:22 2024  max relations containing the same ideal: 124
Sun Jul 28 16:43:28 2024  removing 5872597 relations and 3872597 ideals in 2000000 cliques
Sun Jul 28 16:43:34 2024  commencing in-memory singleton removal
Sun Jul 28 16:43:51 2024  begin with 241384999 relations and 188208034 unique ideals
Sun Jul 28 16:44:54 2024  reduce to 241274120 relations and 184223390 ideals in 6 passes
Sun Jul 28 16:44:54 2024  max relations containing the same ideal: 123
Sun Jul 28 16:45:59 2024  removing 5864860 relations and 3864860 ideals in 2000000 cliques
Sun Jul 28 16:46:04 2024  commencing in-memory singleton removal
Sun Jul 28 16:46:21 2024  begin with 235409260 relations and 184223390 unique ideals
Sun Jul 28 16:47:13 2024  reduce to 235296123 relations and 180244173 ideals in 5 passes
Sun Jul 28 16:47:13 2024  max relations containing the same ideal: 121
Sun Jul 28 16:48:16 2024  removing 5864089 relations and 3864089 ideals in 2000000 cliques
Sun Jul 28 16:48:21 2024  commencing in-memory singleton removal
Sun Jul 28 16:48:38 2024  begin with 229432034 relations and 180244173 unique ideals
Sun Jul 28 16:49:27 2024  reduce to 229316502 relations and 176263273 ideals in 5 passes
Sun Jul 28 16:49:27 2024  max relations containing the same ideal: 119
Sun Jul 28 16:50:29 2024  removing 5862345 relations and 3862345 ideals in 2000000 cliques
Sun Jul 28 16:50:34 2024  commencing in-memory singleton removal
Sun Jul 28 16:50:50 2024  begin with 223454157 relations and 176263273 unique ideals
Sun Jul 28 16:51:38 2024  reduce to 223335929 relations and 172281394 ideals in 5 passes
Sun Jul 28 16:51:38 2024  max relations containing the same ideal: 117
Sun Jul 28 16:52:39 2024  removing 5864543 relations and 3864543 ideals in 2000000 cliques
Sun Jul 28 16:52:44 2024  commencing in-memory singleton removal
Sun Jul 28 16:53:00 2024  begin with 217471386 relations and 172281394 unique ideals
Sun Jul 28 16:53:56 2024  reduce to 217350537 relations and 168294727 ideals in 6 passes
Sun Jul 28 16:53:56 2024  max relations containing the same ideal: 114
Sun Jul 28 16:54:55 2024  removing 5866633 relations and 3866633 ideals in 2000000 cliques
Sun Jul 28 16:55:00 2024  commencing in-memory singleton removal
Sun Jul 28 16:55:16 2024  begin with 211483904 relations and 168294727 unique ideals
Sun Jul 28 16:56:10 2024  reduce to 211360187 relations and 164302977 ideals in 6 passes
Sun Jul 28 16:56:10 2024  max relations containing the same ideal: 111
Sun Jul 28 16:57:08 2024  removing 5870548 relations and 3870548 ideals in 2000000 cliques
Sun Jul 28 16:57:12 2024  commencing in-memory singleton removal
Sun Jul 28 16:57:27 2024  begin with 205489639 relations and 164302977 unique ideals
Sun Jul 28 16:58:20 2024  reduce to 205362867 relations and 160304151 ideals in 6 passes
Sun Jul 28 16:58:20 2024  max relations containing the same ideal: 111
Sun Jul 28 16:59:17 2024  removing 5879156 relations and 3879156 ideals in 2000000 cliques
Sun Jul 28 16:59:21 2024  commencing in-memory singleton removal
Sun Jul 28 16:59:35 2024  begin with 199483711 relations and 160304151 unique ideals
Sun Jul 28 17:00:27 2024  reduce to 199352987 relations and 156292699 ideals in 6 passes
Sun Jul 28 17:00:27 2024  max relations containing the same ideal: 110
Sun Jul 28 17:01:22 2024  removing 5889263 relations and 3889263 ideals in 2000000 cliques
Sun Jul 28 17:01:26 2024  commencing in-memory singleton removal
Sun Jul 28 17:01:39 2024  begin with 193463724 relations and 156292699 unique ideals
Sun Jul 28 17:02:29 2024  reduce to 193329461 relations and 152267530 ideals in 6 passes
Sun Jul 28 17:02:29 2024  max relations containing the same ideal: 107
Sun Jul 28 17:03:22 2024  removing 5901188 relations and 3901188 ideals in 2000000 cliques
Sun Jul 28 17:03:26 2024  commencing in-memory singleton removal
Sun Jul 28 17:03:39 2024  begin with 187428273 relations and 152267530 unique ideals
Sun Jul 28 17:04:19 2024  reduce to 187289138 relations and 148225486 ideals in 5 passes
Sun Jul 28 17:04:19 2024  max relations containing the same ideal: 106
Sun Jul 28 17:05:11 2024  removing 5914237 relations and 3914237 ideals in 2000000 cliques
Sun Jul 28 17:05:16 2024  commencing in-memory singleton removal
Sun Jul 28 17:05:29 2024  begin with 181374901 relations and 148225486 unique ideals
Sun Jul 28 17:06:15 2024  reduce to 181232219 relations and 144166717 ideals in 6 passes
Sun Jul 28 17:06:15 2024  max relations containing the same ideal: 106
Sun Jul 28 17:07:05 2024  removing 5931589 relations and 3931589 ideals in 2000000 cliques
Sun Jul 28 17:07:09 2024  commencing in-memory singleton removal
Sun Jul 28 17:07:22 2024  begin with 175300630 relations and 144166717 unique ideals
Sun Jul 28 17:08:06 2024  reduce to 175152464 relations and 140085066 ideals in 6 passes
Sun Jul 28 17:08:06 2024  max relations containing the same ideal: 99
Sun Jul 28 17:08:54 2024  removing 5949225 relations and 3949225 ideals in 2000000 cliques
Sun Jul 28 17:08:58 2024  commencing in-memory singleton removal
Sun Jul 28 17:09:10 2024  begin with 169203239 relations and 140085066 unique ideals
Sun Jul 28 17:09:52 2024  reduce to 169050542 relations and 135981101 ideals in 6 passes
Sun Jul 28 17:09:52 2024  max relations containing the same ideal: 97
Sun Jul 28 17:10:39 2024  removing 5972521 relations and 3972521 ideals in 2000000 cliques
Sun Jul 28 17:10:43 2024  commencing in-memory singleton removal
Sun Jul 28 17:10:55 2024  begin with 163078021 relations and 135981101 unique ideals
Sun Jul 28 17:11:36 2024  reduce to 162918801 relations and 131847153 ideals in 6 passes
Sun Jul 28 17:11:36 2024  max relations containing the same ideal: 95
Sun Jul 28 17:12:22 2024  removing 5996855 relations and 3996855 ideals in 2000000 cliques
Sun Jul 28 17:12:25 2024  commencing in-memory singleton removal
Sun Jul 28 17:12:36 2024  begin with 156921946 relations and 131847153 unique ideals
Sun Jul 28 17:13:15 2024  reduce to 156757074 relations and 127683191 ideals in 6 passes
Sun Jul 28 17:13:15 2024  max relations containing the same ideal: 95
Sun Jul 28 17:13:59 2024  removing 6024282 relations and 4024282 ideals in 2000000 cliques
Sun Jul 28 17:14:02 2024  commencing in-memory singleton removal
Sun Jul 28 17:14:12 2024  begin with 150732792 relations and 127683191 unique ideals
Sun Jul 28 17:14:49 2024  reduce to 150561286 relations and 123485065 ideals in 6 passes
Sun Jul 28 17:14:49 2024  max relations containing the same ideal: 94
Sun Jul 28 17:15:32 2024  removing 6050913 relations and 4050913 ideals in 2000000 cliques
Sun Jul 28 17:15:36 2024  commencing in-memory singleton removal
Sun Jul 28 17:15:46 2024  begin with 144510373 relations and 123485065 unique ideals
Sun Jul 28 17:16:21 2024  reduce to 144331730 relations and 119252948 ideals in 6 passes
Sun Jul 28 17:16:21 2024  max relations containing the same ideal: 89
Sun Jul 28 17:17:02 2024  removing 6088823 relations and 4088823 ideals in 2000000 cliques
Sun Jul 28 17:17:06 2024  commencing in-memory singleton removal
Sun Jul 28 17:17:15 2024  begin with 138242907 relations and 119252948 unique ideals
Sun Jul 28 17:17:49 2024  reduce to 138056365 relations and 114974863 ideals in 6 passes
Sun Jul 28 17:17:49 2024  max relations containing the same ideal: 86
Sun Jul 28 17:18:28 2024  removing 6126904 relations and 4126904 ideals in 2000000 cliques
Sun Jul 28 17:18:31 2024  commencing in-memory singleton removal
Sun Jul 28 17:18:41 2024  begin with 131929461 relations and 114974863 unique ideals
Sun Jul 28 17:19:13 2024  reduce to 131734012 relations and 110649510 ideals in 6 passes
Sun Jul 28 17:19:13 2024  max relations containing the same ideal: 82
Sun Jul 28 17:19:50 2024  removing 6161699 relations and 4161699 ideals in 2000000 cliques
Sun Jul 28 17:19:53 2024  commencing in-memory singleton removal
Sun Jul 28 17:20:01 2024  begin with 125572313 relations and 110649510 unique ideals
Sun Jul 28 17:20:32 2024  reduce to 125366821 relations and 106279095 ideals in 6 passes
Sun Jul 28 17:20:32 2024  max relations containing the same ideal: 80
Sun Jul 28 17:21:07 2024  removing 6206129 relations and 4206129 ideals in 2000000 cliques
Sun Jul 28 17:21:10 2024  commencing in-memory singleton removal
Sun Jul 28 17:21:18 2024  begin with 119160692 relations and 106279095 unique ideals
Sun Jul 28 17:21:46 2024  reduce to 118944314 relations and 101853267 ideals in 6 passes
Sun Jul 28 17:21:46 2024  max relations containing the same ideal: 78
Sun Jul 28 17:22:20 2024  removing 6253311 relations and 4253311 ideals in 2000000 cliques
Sun Jul 28 17:22:23 2024  commencing in-memory singleton removal
Sun Jul 28 17:22:31 2024  begin with 112691003 relations and 101853267 unique ideals
Sun Jul 28 17:22:58 2024  reduce to 112461075 relations and 97366186 ideals in 6 passes
Sun Jul 28 17:22:58 2024  max relations containing the same ideal: 75
Sun Jul 28 17:23:30 2024  removing 6305748 relations and 4305748 ideals in 2000000 cliques
Sun Jul 28 17:23:33 2024  commencing in-memory singleton removal
Sun Jul 28 17:23:40 2024  begin with 106155327 relations and 97366186 unique ideals
Sun Jul 28 17:24:05 2024  reduce to 105912251 relations and 92813339 ideals in 6 passes
Sun Jul 28 17:24:05 2024  max relations containing the same ideal: 72
Sun Jul 28 17:24:36 2024  removing 6358623 relations and 4358623 ideals in 2000000 cliques
Sun Jul 28 17:24:38 2024  commencing in-memory singleton removal
Sun Jul 28 17:24:45 2024  begin with 99553628 relations and 92813339 unique ideals
Sun Jul 28 17:25:08 2024  reduce to 99292894 relations and 88189475 ideals in 6 passes
Sun Jul 28 17:25:08 2024  max relations containing the same ideal: 68
Sun Jul 28 17:25:37 2024  removing 6423286 relations and 4423286 ideals in 2000000 cliques
Sun Jul 28 17:25:40 2024  commencing in-memory singleton removal
Sun Jul 28 17:25:46 2024  begin with 92869608 relations and 88189475 unique ideals
Sun Jul 28 17:26:11 2024  reduce to 92587523 relations and 83478949 ideals in 7 passes
Sun Jul 28 17:26:11 2024  max relations containing the same ideal: 66
Sun Jul 28 17:26:38 2024  removing 6491012 relations and 4491012 ideals in 2000000 cliques
Sun Jul 28 17:26:40 2024  commencing in-memory singleton removal
Sun Jul 28 17:26:46 2024  begin with 86096511 relations and 83478949 unique ideals
Sun Jul 28 17:27:09 2024  reduce to 85789108 relations and 78674657 ideals in 7 passes
Sun Jul 28 17:27:09 2024  max relations containing the same ideal: 63
Sun Jul 28 17:27:34 2024  removing 6566198 relations and 4566198 ideals in 2000000 cliques
Sun Jul 28 17:27:37 2024  commencing in-memory singleton removal
Sun Jul 28 17:27:42 2024  begin with 79222910 relations and 78674657 unique ideals
Sun Jul 28 17:28:03 2024  reduce to 78883125 relations and 73761763 ideals in 7 passes
Sun Jul 28 17:28:03 2024  max relations containing the same ideal: 60
Sun Jul 28 17:28:26 2024  removing 4981225 relations and 3564239 ideals in 1416986 cliques
Sun Jul 28 17:28:28 2024  commencing in-memory singleton removal
Sun Jul 28 17:28:33 2024  begin with 73901900 relations and 73761763 unique ideals
Sun Jul 28 17:28:52 2024  reduce to 73684126 relations and 69976327 ideals in 7 passes
Sun Jul 28 17:28:52 2024  max relations containing the same ideal: 59
Sun Jul 28 17:29:21 2024  relations with 0 large ideals: 110696
Sun Jul 28 17:29:21 2024  relations with 1 large ideals: 118550
Sun Jul 28 17:29:21 2024  relations with 2 large ideals: 1062685
Sun Jul 28 17:29:21 2024  relations with 3 large ideals: 5065021
Sun Jul 28 17:29:21 2024  relations with 4 large ideals: 12813047
Sun Jul 28 17:29:21 2024  relations with 5 large ideals: 19214258
Sun Jul 28 17:29:21 2024  relations with 6 large ideals: 18044634
Sun Jul 28 17:29:21 2024  relations with 7+ large ideals: 17255235
Sun Jul 28 17:29:21 2024  commencing 2-way merge
Sun Jul 28 17:29:54 2024  reduce to 48931567 relation sets and 45223768 unique ideals
Sun Jul 28 17:29:54 2024  commencing full merge
Sun Jul 28 17:39:44 2024  memory use: 5887.9 MB
Sun Jul 28 17:39:47 2024  found 23303727 cycles, need 22833968
Sun Jul 28 17:39:53 2024  weight of 22833968 cycles is about 2626238571 (115.01/cycle)
Sun Jul 28 17:39:53 2024  distribution of cycle lengths:
Sun Jul 28 17:39:53 2024  1 relations: 1060348
Sun Jul 28 17:39:53 2024  2 relations: 1467926
Sun Jul 28 17:39:53 2024  3 relations: 1739802
Sun Jul 28 17:39:53 2024  4 relations: 1838749
Sun Jul 28 17:39:53 2024  5 relations: 1913831
Sun Jul 28 17:39:53 2024  6 relations: 1912076
Sun Jul 28 17:39:53 2024  7 relations: 1872840
Sun Jul 28 17:39:53 2024  8 relations: 1775742
Sun Jul 28 17:39:53 2024  9 relations: 1642612
Sun Jul 28 17:39:53 2024  10+ relations: 7610042
Sun Jul 28 17:39:53 2024  heaviest cycle: 24 relations
Sun Jul 28 17:39:57 2024  commencing cycle optimization
Sun Jul 28 17:40:27 2024  start with 179365122 relations
Sun Jul 28 17:44:13 2024  pruned 8083098 relations
Sun Jul 28 17:44:14 2024  memory use: 4889.9 MB
Sun Jul 28 17:44:14 2024  distribution of cycle lengths:
Sun Jul 28 17:44:14 2024  1 relations: 1060348
Sun Jul 28 17:44:14 2024  2 relations: 1505694
Sun Jul 28 17:44:14 2024  3 relations: 1818324
Sun Jul 28 17:44:14 2024  4 relations: 1922874
Sun Jul 28 17:44:14 2024  5 relations: 2020721
Sun Jul 28 17:44:14 2024  6 relations: 2017088
Sun Jul 28 17:44:14 2024  7 relations: 1983601
Sun Jul 28 17:44:14 2024  8 relations: 1870801
Sun Jul 28 17:44:14 2024  9 relations: 1719176
Sun Jul 28 17:44:14 2024  10+ relations: 6915341
Sun Jul 28 17:44:14 2024  heaviest cycle: 24 relations
Sun Jul 28 17:45:13 2024  RelProcTime: 18575
Sun Jul 28 17:45:13 2024
Sun Jul 28 17:45:13 2024  commencing linear algebra
Sun Jul 28 17:45:13 2024  using VBITS=256
Sun Jul 28 17:45:14 2024  read 22833968 cycles
Sun Jul 28 17:45:39 2024  cycles contain 72039378 unique relations
Sun Jul 28 17:56:27 2024  read 72039378 relations
Sun Jul 28 17:58:15 2024  using 20 quadratic characters above 4294917295
Sun Jul 28 18:02:21 2024  building initial matrix
Sun Jul 28 18:18:49 2024  memory use: 9826.3 MB
Sun Jul 28 18:19:37 2024  read 22833968 cycles
Sun Jul 28 18:19:38 2024  matrix is 22833788 x 22833968 (10419.8 MB) with weight 3010870914 (131.86/col)
Sun Jul 28 18:19:38 2024  sparse part has weight 2480320757 (108.62/col)
Sun Jul 28 18:22:55 2024  filtering completed in 2 passes
Sun Jul 28 18:22:59 2024  matrix is 22832286 x 22832460 (10419.6 MB) with weight 3010808107 (131.87/col)
Sun Jul 28 18:22:59 2024  sparse part has weight 2480291574 (108.63/col)
Sun Jul 28 18:29:34 2024  matrix starts at (0, 0)
Sun Jul 28 18:29:36 2024  matrix is 22832286 x 22832460 (10419.6 MB) with weight 3010808107 (131.87/col)
Sun Jul 28 18:29:36 2024  sparse part has weight 2480291574 (108.63/col)
Sun Jul 28 18:29:36 2024  saving the first 240 matrix rows for later
Sun Jul 28 18:29:39 2024  matrix includes 256 packed rows
Sun Jul 28 18:29:44 2024  matrix is 22832046 x 22832460 (9571.1 MB) with weight 2253828335 (98.71/col)
Sun Jul 28 18:29:44 2024  sparse part has weight 2143678928 (93.89/col)
Sun Jul 28 18:29:48 2024  using GPU 1 (NVIDIA L40S)
Sun Jul 28 18:29:48 2024  selected card has CUDA arch 8.9
Sun Jul 28 18:32:18 2024  commencing Lanczos iteration
Sun Jul 28 18:32:19 2024  memory use: 22277.7 MB
Sun Jul 28 18:33:19 2024  linear algebra at 0.1%, ETA 12h24m
Sun Jul 28 18:34:48 2024  checking every 10000 dimensions, checkpointing every 930000 dimensions
Mon Jul 29 06:50:02 2024  lanczos halted after 89457 iterations (dim = 22832046)
Mon Jul 29 06:51:01 2024  recovered 40 nontrivial dependencies
Mon Jul 29 06:51:02 2024  BLanczosTime: 47149
Mon Jul 29 06:51:02 2024
Mon Jul 29 06:51:02 2024  commencing square root phase
Mon Jul 29 06:51:02 2024  handling dependencies 1 to 64
Mon Jul 29 06:51:02 2024  reading relations for dependency 1
Mon Jul 29 06:51:05 2024  read 11412276 cycles
Mon Jul 29 06:51:17 2024  cycles contain 36017582 unique relations
Mon Jul 29 06:59:55 2024  read 36017582 relations
Mon Jul 29 07:01:47 2024  multiplying 36017582 relations
Mon Jul 29 07:24:36 2024  multiply complete, coefficients have about 1281.78 million bits
Mon Jul 29 07:24:38 2024  initial square root is modulo 562129
Mon Jul 29 07:45:02 2024  Newton iteration failed to converge
Mon Jul 29 07:45:02 2024  algebraic square root failed
Mon Jul 29 07:45:02 2024  reading relations for dependency 2
Mon Jul 29 07:45:05 2024  read 11414845 cycles
Mon Jul 29 07:45:17 2024  cycles contain 36008678 unique relations
Mon Jul 29 07:53:55 2024  read 36008678 relations
Mon Jul 29 07:55:45 2024  multiplying 36008678 relations
Mon Jul 29 08:18:26 2024  multiply complete, coefficients have about 1281.46 million bits
Mon Jul 29 08:18:28 2024  initial square root is modulo 560149
Mon Jul 29 08:38:52 2024  sqrtTime: 6470
Mon Jul 29 08:38:52 2024  p83 factor: 54289885963425701390808067027521917752507849464569492323088042964408965352024690761
Mon Jul 29 08:38:52 2024  p186 factor: 163552487423136001766497258145746254106255155270277771176126281124193994288654847144739932783113032915023422196440669594736243131406916322651785576675975323463557361974241075025798168293
Mon Jul 29 08:38:52 2024  elapsed time 20:03:15