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- Sat Oct 25 15:16:01 2025
- Sat Oct 25 15:16:01 2025
- Sat Oct 25 15:16:01 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Oct 25 15:16:01 2025 random seeds: 477c0b65 6f443ec9
- Sat Oct 25 15:16:01 2025 MPI process 0 of 1
- Sat Oct 25 15:16:01 2025 Using 46 OpenMP threads
- Sat Oct 25 15:16:01 2025 factoring 944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 (267 digits)
- Sat Oct 25 15:16:02 2025 no P-1/P+1/ECM available, skipping
- Sat Oct 25 15:16:02 2025 commencing number field sieve (267-digit input)
- Sat Oct 25 15:16:02 2025 R0: 100000000000000000000000000000000000000000000
- Sat Oct 25 15:16:02 2025 R1: -1
- Sat Oct 25 15:16:02 2025 A0: 23
- Sat Oct 25 15:16:02 2025 A1: 0
- Sat Oct 25 15:16:02 2025 A2: 0
- Sat Oct 25 15:16:02 2025 A3: 0
- Sat Oct 25 15:16:02 2025 A4: 0
- Sat Oct 25 15:16:02 2025 A5: 0
- Sat Oct 25 15:16:02 2025 A6: 8500
- Sat Oct 25 15:16:02 2025 skew 0.51, size 1.939e-13, alpha -0.623, combined = 3.537e-14 rroots = 0
- Sat Oct 25 15:16:02 2025
- Sat Oct 25 15:16:02 2025 commencing relation filtering
- Sat Oct 25 15:16:02 2025 setting target matrix density to 110.0
- Sat Oct 25 15:16:02 2025 estimated available RAM is 773418.9 MB
- Sat Oct 25 15:16:02 2025 commencing duplicate removal, pass 1
- Sat Oct 25 15:17:36 2025 error -5 reading relation 168901853
- Sat Oct 25 15:17:36 2025 error -1 reading relation 168901854
- Sat Oct 25 15:18:32 2025 error -1 reading relation 270356759
- Sat Oct 25 15:19:51 2025 error -15 reading relation 417459605
- Sat Oct 25 15:20:02 2025 error -1 reading relation 438843391
- Sat Oct 25 15:20:48 2025 error -5 reading relation 524805446
- Sat Oct 25 15:21:29 2025 error -11 reading relation 598910937
- Sat Oct 25 15:21:39 2025 error -5 reading relation 616571034
- Sat Oct 25 15:21:41 2025 error -1 reading relation 620350200
- Sat Oct 25 15:22:01 2025 error -15 reading relation 656453522
- Sat Oct 25 15:22:43 2025 skipped 18947 relations with b > 2^32
- Sat Oct 25 15:22:43 2025 skipped 3 relations with composite factors
- Sat Oct 25 15:22:43 2025 skipped 851 malformed relations
- Sat Oct 25 15:22:43 2025 found 29743126 hash collisions in 735123044 relations
- Sat Oct 25 15:22:54 2025 added 1218815 free relations
- Sat Oct 25 15:22:54 2025 commencing duplicate removal, pass 2
- Sat Oct 25 15:25:58 2025 found 0 duplicates and 736341859 unique relations
- Sat Oct 25 15:25:58 2025 memory use: 2217.5 MB
- Sat Oct 25 15:25:58 2025 reading ideals above 720000
- Sat Oct 25 15:25:58 2025 commencing singleton removal, initial pass
- Sat Oct 25 15:51:13 2025 memory use: 11024.0 MB
- Sat Oct 25 15:51:13 2025 reading all ideals from disk
- Sat Oct 25 15:51:27 2025 memory use: 36825.3 MB
- Sat Oct 25 15:52:04 2025 keeping 628459905 ideals with weight <= 200, target excess is 3745687
- Sat Oct 25 15:53:01 2025 commencing in-memory singleton removal
- Sat Oct 25 15:53:05 2025 begin with 736341859 relations and 628459905 unique ideals
- Sat Oct 25 15:53:28 2025 reduce to 493861604 relations and 363972459 ideals in 13 passes
- Sat Oct 25 15:53:28 2025 max relations containing the same ideal: 165
- Sat Oct 25 15:54:48 2025 removing 12726877 relations and 10726877 ideals in 2000000 cliques
- Sat Oct 25 15:54:58 2025 commencing in-memory singleton removal
- Sat Oct 25 15:55:01 2025 begin with 481134727 relations and 363972459 unique ideals
- Sat Oct 25 15:55:12 2025 reduce to 480901953 relations and 353011517 ideals in 7 passes
- Sat Oct 25 15:55:12 2025 max relations containing the same ideal: 162
- Sat Oct 25 15:56:29 2025 removing 9703420 relations and 7703420 ideals in 2000000 cliques
- Sat Oct 25 15:56:40 2025 commencing in-memory singleton removal
- Sat Oct 25 15:56:42 2025 begin with 471198533 relations and 353011517 unique ideals
- Sat Oct 25 15:56:51 2025 reduce to 471046556 relations and 345155336 ideals in 6 passes
- Sat Oct 25 15:56:51 2025 max relations containing the same ideal: 160
- Sat Oct 25 15:58:11 2025 removing 8727907 relations and 6727907 ideals in 2000000 cliques
- Sat Oct 25 15:58:21 2025 commencing in-memory singleton removal
- Sat Oct 25 15:58:23 2025 begin with 462318649 relations and 345155336 unique ideals
- Sat Oct 25 15:58:32 2025 reduce to 462188430 relations and 338296635 ideals in 7 passes
- Sat Oct 25 15:58:32 2025 max relations containing the same ideal: 158
- Sat Oct 25 15:59:52 2025 removing 8154655 relations and 6154655 ideals in 2000000 cliques
- Sat Oct 25 16:00:01 2025 commencing in-memory singleton removal
- Sat Oct 25 16:00:03 2025 begin with 454033775 relations and 338296635 unique ideals
- Sat Oct 25 16:00:13 2025 reduce to 453915380 relations and 332023005 ideals in 7 passes
- Sat Oct 25 16:00:13 2025 max relations containing the same ideal: 155
- Sat Oct 25 16:01:25 2025 removing 7771282 relations and 5771282 ideals in 2000000 cliques
- Sat Oct 25 16:01:35 2025 commencing in-memory singleton removal
- Sat Oct 25 16:01:37 2025 begin with 446144098 relations and 332023005 unique ideals
- Sat Oct 25 16:01:47 2025 reduce to 446034349 relations and 326141479 ideals in 8 passes
- Sat Oct 25 16:01:47 2025 max relations containing the same ideal: 154
- Sat Oct 25 16:03:02 2025 removing 7490641 relations and 5490641 ideals in 2000000 cliques
- Sat Oct 25 16:03:11 2025 commencing in-memory singleton removal
- Sat Oct 25 16:03:13 2025 begin with 438543708 relations and 326141479 unique ideals
- Sat Oct 25 16:03:21 2025 reduce to 438437793 relations and 320544468 ideals in 6 passes
- Sat Oct 25 16:03:21 2025 max relations containing the same ideal: 152
- Sat Oct 25 16:04:35 2025 removing 7271506 relations and 5271506 ideals in 2000000 cliques
- Sat Oct 25 16:04:44 2025 commencing in-memory singleton removal
- Sat Oct 25 16:04:46 2025 begin with 431166287 relations and 320544468 unique ideals
- Sat Oct 25 16:04:54 2025 reduce to 431064934 relations and 315171112 ideals in 6 passes
- Sat Oct 25 16:04:54 2025 max relations containing the same ideal: 152
- Sat Oct 25 16:06:07 2025 removing 7100959 relations and 5100959 ideals in 2000000 cliques
- Sat Oct 25 16:06:16 2025 commencing in-memory singleton removal
- Sat Oct 25 16:06:18 2025 begin with 423963975 relations and 315171112 unique ideals
- Sat Oct 25 16:06:26 2025 reduce to 423865716 relations and 309971417 ideals in 6 passes
- Sat Oct 25 16:06:26 2025 max relations containing the same ideal: 149
- Sat Oct 25 16:07:39 2025 removing 6957356 relations and 4957356 ideals in 2000000 cliques
- Sat Oct 25 16:07:47 2025 commencing in-memory singleton removal
- Sat Oct 25 16:07:49 2025 begin with 416908360 relations and 309971417 unique ideals
- Sat Oct 25 16:07:57 2025 reduce to 416812123 relations and 304917307 ideals in 6 passes
- Sat Oct 25 16:07:57 2025 max relations containing the same ideal: 146
- Sat Oct 25 16:09:08 2025 removing 6837150 relations and 4837150 ideals in 2000000 cliques
- Sat Oct 25 16:09:16 2025 commencing in-memory singleton removal
- Sat Oct 25 16:09:18 2025 begin with 409974973 relations and 304917307 unique ideals
- Sat Oct 25 16:09:26 2025 reduce to 409880758 relations and 299985461 ideals in 6 passes
- Sat Oct 25 16:09:26 2025 max relations containing the same ideal: 145
- Sat Oct 25 16:10:36 2025 removing 6734913 relations and 4734913 ideals in 2000000 cliques
- Sat Oct 25 16:10:45 2025 commencing in-memory singleton removal
- Sat Oct 25 16:10:46 2025 begin with 403145845 relations and 299985461 unique ideals
- Sat Oct 25 16:10:54 2025 reduce to 403052154 relations and 295156358 ideals in 6 passes
- Sat Oct 25 16:10:54 2025 max relations containing the same ideal: 144
- Sat Oct 25 16:12:02 2025 removing 6652227 relations and 4652227 ideals in 2000000 cliques
- Sat Oct 25 16:12:11 2025 commencing in-memory singleton removal
- Sat Oct 25 16:12:12 2025 begin with 396399927 relations and 295156358 unique ideals
- Sat Oct 25 16:12:20 2025 reduce to 396306722 relations and 290410416 ideals in 6 passes
- Sat Oct 25 16:12:20 2025 max relations containing the same ideal: 143
- Sat Oct 25 16:13:28 2025 removing 6577006 relations and 4577006 ideals in 2000000 cliques
- Sat Oct 25 16:13:37 2025 commencing in-memory singleton removal
- Sat Oct 25 16:13:38 2025 begin with 389729716 relations and 290410416 unique ideals
- Sat Oct 25 16:13:45 2025 reduce to 389637512 relations and 285740660 ideals in 6 passes
- Sat Oct 25 16:13:45 2025 max relations containing the same ideal: 141
- Sat Oct 25 16:14:52 2025 removing 6510888 relations and 4510888 ideals in 2000000 cliques
- Sat Oct 25 16:15:01 2025 commencing in-memory singleton removal
- Sat Oct 25 16:15:02 2025 begin with 383126624 relations and 285740660 unique ideals
- Sat Oct 25 16:15:09 2025 reduce to 383035071 relations and 281137646 ideals in 6 passes
- Sat Oct 25 16:15:09 2025 max relations containing the same ideal: 141
- Sat Oct 25 16:16:16 2025 removing 6455282 relations and 4455282 ideals in 2000000 cliques
- Sat Oct 25 16:16:24 2025 commencing in-memory singleton removal
- Sat Oct 25 16:16:26 2025 begin with 376579789 relations and 281137646 unique ideals
- Sat Oct 25 16:16:33 2025 reduce to 376488532 relations and 276590541 ideals in 6 passes
- Sat Oct 25 16:16:33 2025 max relations containing the same ideal: 140
- Sat Oct 25 16:17:38 2025 removing 6403203 relations and 4403203 ideals in 2000000 cliques
- Sat Oct 25 16:17:46 2025 commencing in-memory singleton removal
- Sat Oct 25 16:17:47 2025 begin with 370085329 relations and 276590541 unique ideals
- Sat Oct 25 16:17:53 2025 reduce to 369993287 relations and 272094721 ideals in 5 passes
- Sat Oct 25 16:17:53 2025 max relations containing the same ideal: 138
- Sat Oct 25 16:18:58 2025 removing 6354433 relations and 4354433 ideals in 2000000 cliques
- Sat Oct 25 16:19:05 2025 commencing in-memory singleton removal
- Sat Oct 25 16:19:07 2025 begin with 363638854 relations and 272094721 unique ideals
- Sat Oct 25 16:19:14 2025 reduce to 363547637 relations and 267648438 ideals in 7 passes
- Sat Oct 25 16:19:14 2025 max relations containing the same ideal: 136
- Sat Oct 25 16:20:18 2025 removing 6314449 relations and 4314449 ideals in 2000000 cliques
- Sat Oct 25 16:20:25 2025 commencing in-memory singleton removal
- Sat Oct 25 16:20:27 2025 begin with 357233188 relations and 267648438 unique ideals
- Sat Oct 25 16:20:33 2025 reduce to 357141323 relations and 263241494 ideals in 6 passes
- Sat Oct 25 16:20:34 2025 max relations containing the same ideal: 135
- Sat Oct 25 16:21:36 2025 removing 6277121 relations and 4277121 ideals in 2000000 cliques
- Sat Oct 25 16:21:44 2025 commencing in-memory singleton removal
- Sat Oct 25 16:21:45 2025 begin with 350864202 relations and 263241494 unique ideals
- Sat Oct 25 16:21:52 2025 reduce to 350771653 relations and 258871148 ideals in 6 passes
- Sat Oct 25 16:21:52 2025 max relations containing the same ideal: 134
- Sat Oct 25 16:22:53 2025 removing 6238281 relations and 4238281 ideals in 2000000 cliques
- Sat Oct 25 16:23:00 2025 commencing in-memory singleton removal
- Sat Oct 25 16:23:02 2025 begin with 344533372 relations and 258871148 unique ideals
- Sat Oct 25 16:23:08 2025 reduce to 344440624 relations and 254539442 ideals in 6 passes
- Sat Oct 25 16:23:08 2025 max relations containing the same ideal: 134
- Sat Oct 25 16:24:09 2025 removing 6211686 relations and 4211686 ideals in 2000000 cliques
- Sat Oct 25 16:24:16 2025 commencing in-memory singleton removal
- Sat Oct 25 16:24:18 2025 begin with 338228938 relations and 254539442 unique ideals
- Sat Oct 25 16:24:24 2025 reduce to 338135517 relations and 250233636 ideals in 7 passes
- Sat Oct 25 16:24:24 2025 max relations containing the same ideal: 132
- Sat Oct 25 16:25:24 2025 removing 6184835 relations and 4184835 ideals in 2000000 cliques
- Sat Oct 25 16:25:31 2025 commencing in-memory singleton removal
- Sat Oct 25 16:25:33 2025 begin with 331950682 relations and 250233636 unique ideals
- Sat Oct 25 16:25:39 2025 reduce to 331855944 relations and 245953268 ideals in 6 passes
- Sat Oct 25 16:25:39 2025 max relations containing the same ideal: 131
- Sat Oct 25 16:26:37 2025 removing 6161206 relations and 4161206 ideals in 2000000 cliques
- Sat Oct 25 16:26:44 2025 commencing in-memory singleton removal
- Sat Oct 25 16:26:45 2025 begin with 325694738 relations and 245953268 unique ideals
- Sat Oct 25 16:26:51 2025 reduce to 325599675 relations and 241696223 ideals in 6 passes
- Sat Oct 25 16:26:51 2025 max relations containing the same ideal: 129
- Sat Oct 25 16:27:49 2025 removing 6139653 relations and 4139653 ideals in 2000000 cliques
- Sat Oct 25 16:27:56 2025 commencing in-memory singleton removal
- Sat Oct 25 16:27:57 2025 begin with 319460022 relations and 241696223 unique ideals
- Sat Oct 25 16:28:02 2025 reduce to 319364080 relations and 237459812 ideals in 5 passes
- Sat Oct 25 16:28:02 2025 max relations containing the same ideal: 128
- Sat Oct 25 16:28:59 2025 removing 6120407 relations and 4120407 ideals in 2000000 cliques
- Sat Oct 25 16:29:06 2025 commencing in-memory singleton removal
- Sat Oct 25 16:29:07 2025 begin with 313243673 relations and 237459812 unique ideals
- Sat Oct 25 16:29:12 2025 reduce to 313145989 relations and 233240925 ideals in 5 passes
- Sat Oct 25 16:29:12 2025 max relations containing the same ideal: 128
- Sat Oct 25 16:30:08 2025 removing 6104680 relations and 4104680 ideals in 2000000 cliques
- Sat Oct 25 16:30:15 2025 commencing in-memory singleton removal
- Sat Oct 25 16:30:16 2025 begin with 307041309 relations and 233240925 unique ideals
- Sat Oct 25 16:30:22 2025 reduce to 306942464 relations and 229036468 ideals in 6 passes
- Sat Oct 25 16:30:22 2025 max relations containing the same ideal: 125
- Sat Oct 25 16:31:22 2025 removing 6087596 relations and 4087596 ideals in 2000000 cliques
- Sat Oct 25 16:31:29 2025 commencing in-memory singleton removal
- Sat Oct 25 16:31:30 2025 begin with 300854868 relations and 229036468 unique ideals
- Sat Oct 25 16:31:36 2025 reduce to 300755262 relations and 224848390 ideals in 6 passes
- Sat Oct 25 16:31:36 2025 max relations containing the same ideal: 123
- Sat Oct 25 16:32:30 2025 removing 6075975 relations and 4075975 ideals in 2000000 cliques
- Sat Oct 25 16:32:37 2025 commencing in-memory singleton removal
- Sat Oct 25 16:32:38 2025 begin with 294679287 relations and 224848390 unique ideals
- Sat Oct 25 16:32:43 2025 reduce to 294578070 relations and 220670285 ideals in 5 passes
- Sat Oct 25 16:32:43 2025 max relations containing the same ideal: 121
- Sat Oct 25 16:33:34 2025 removing 6066609 relations and 4066609 ideals in 2000000 cliques
- Sat Oct 25 16:33:41 2025 commencing in-memory singleton removal
- Sat Oct 25 16:33:42 2025 begin with 288511461 relations and 220670285 unique ideals
- Sat Oct 25 16:33:47 2025 reduce to 288408178 relations and 216499433 ideals in 6 passes
- Sat Oct 25 16:33:47 2025 max relations containing the same ideal: 120
- Sat Oct 25 16:34:39 2025 removing 6052987 relations and 4052987 ideals in 2000000 cliques
- Sat Oct 25 16:34:45 2025 commencing in-memory singleton removal
- Sat Oct 25 16:34:46 2025 begin with 282355191 relations and 216499433 unique ideals
- Sat Oct 25 16:34:51 2025 reduce to 282250310 relations and 212340535 ideals in 6 passes
- Sat Oct 25 16:34:51 2025 max relations containing the same ideal: 120
- Sat Oct 25 16:35:41 2025 removing 6047911 relations and 4047911 ideals in 2000000 cliques
- Sat Oct 25 16:35:47 2025 commencing in-memory singleton removal
- Sat Oct 25 16:35:48 2025 begin with 276202399 relations and 212340535 unique ideals
- Sat Oct 25 16:35:52 2025 reduce to 276095739 relations and 208184919 ideals in 5 passes
- Sat Oct 25 16:35:52 2025 max relations containing the same ideal: 120
- Sat Oct 25 16:36:41 2025 removing 6038878 relations and 4038878 ideals in 2000000 cliques
- Sat Oct 25 16:36:47 2025 commencing in-memory singleton removal
- Sat Oct 25 16:36:48 2025 begin with 270056861 relations and 208184919 unique ideals
- Sat Oct 25 16:36:53 2025 reduce to 269947331 relations and 204035413 ideals in 6 passes
- Sat Oct 25 16:36:53 2025 max relations containing the same ideal: 116
- Sat Oct 25 16:37:41 2025 removing 6037982 relations and 4037982 ideals in 2000000 cliques
- Sat Oct 25 16:37:47 2025 commencing in-memory singleton removal
- Sat Oct 25 16:37:48 2025 begin with 263909349 relations and 204035413 unique ideals
- Sat Oct 25 16:37:53 2025 reduce to 263798847 relations and 199885773 ideals in 6 passes
- Sat Oct 25 16:37:53 2025 max relations containing the same ideal: 114
- Sat Oct 25 16:38:40 2025 removing 6034609 relations and 4034609 ideals in 2000000 cliques
- Sat Oct 25 16:38:46 2025 commencing in-memory singleton removal
- Sat Oct 25 16:38:47 2025 begin with 257764238 relations and 199885773 unique ideals
- Sat Oct 25 16:38:52 2025 reduce to 257651889 relations and 195737664 ideals in 6 passes
- Sat Oct 25 16:38:52 2025 max relations containing the same ideal: 112
- Sat Oct 25 16:39:38 2025 removing 6034544 relations and 4034544 ideals in 2000000 cliques
- Sat Oct 25 16:39:44 2025 commencing in-memory singleton removal
- Sat Oct 25 16:39:45 2025 begin with 251617345 relations and 195737664 unique ideals
- Sat Oct 25 16:39:49 2025 reduce to 251502862 relations and 191587458 ideals in 6 passes
- Sat Oct 25 16:39:49 2025 max relations containing the same ideal: 109
- Sat Oct 25 16:40:35 2025 removing 6032555 relations and 4032555 ideals in 2000000 cliques
- Sat Oct 25 16:40:40 2025 commencing in-memory singleton removal
- Sat Oct 25 16:40:41 2025 begin with 245470307 relations and 191587458 unique ideals
- Sat Oct 25 16:40:46 2025 reduce to 245352579 relations and 187435865 ideals in 7 passes
- Sat Oct 25 16:40:46 2025 max relations containing the same ideal: 107
- Sat Oct 25 16:41:31 2025 removing 6038354 relations and 4038354 ideals in 2000000 cliques
- Sat Oct 25 16:41:36 2025 commencing in-memory singleton removal
- Sat Oct 25 16:41:37 2025 begin with 239314225 relations and 187435865 unique ideals
- Sat Oct 25 16:41:41 2025 reduce to 239194213 relations and 183276106 ideals in 6 passes
- Sat Oct 25 16:41:41 2025 max relations containing the same ideal: 105
- Sat Oct 25 16:42:25 2025 removing 6037716 relations and 4037716 ideals in 2000000 cliques
- Sat Oct 25 16:42:30 2025 commencing in-memory singleton removal
- Sat Oct 25 16:42:31 2025 begin with 233156497 relations and 183276106 unique ideals
- Sat Oct 25 16:42:35 2025 reduce to 233033737 relations and 179114263 ideals in 6 passes
- Sat Oct 25 16:42:35 2025 max relations containing the same ideal: 104
- Sat Oct 25 16:43:17 2025 removing 6044797 relations and 4044797 ideals in 2000000 cliques
- Sat Oct 25 16:43:22 2025 commencing in-memory singleton removal
- Sat Oct 25 16:43:23 2025 begin with 226988940 relations and 179114263 unique ideals
- Sat Oct 25 16:43:27 2025 reduce to 226863203 relations and 174942180 ideals in 5 passes
- Sat Oct 25 16:43:27 2025 max relations containing the same ideal: 101
- Sat Oct 25 16:44:08 2025 removing 6050843 relations and 4050843 ideals in 2000000 cliques
- Sat Oct 25 16:44:13 2025 commencing in-memory singleton removal
- Sat Oct 25 16:44:14 2025 begin with 220812360 relations and 174942180 unique ideals
- Sat Oct 25 16:44:18 2025 reduce to 220684213 relations and 170761712 ideals in 7 passes
- Sat Oct 25 16:44:18 2025 max relations containing the same ideal: 100
- Sat Oct 25 16:44:58 2025 removing 6060917 relations and 4060917 ideals in 2000000 cliques
- Sat Oct 25 16:45:03 2025 commencing in-memory singleton removal
- Sat Oct 25 16:45:04 2025 begin with 214623296 relations and 170761712 unique ideals
- Sat Oct 25 16:45:08 2025 reduce to 214490794 relations and 166566698 ideals in 7 passes
- Sat Oct 25 16:45:08 2025 max relations containing the same ideal: 97
- Sat Oct 25 16:45:48 2025 removing 6071138 relations and 4071138 ideals in 2000000 cliques
- Sat Oct 25 16:45:53 2025 commencing in-memory singleton removal
- Sat Oct 25 16:45:53 2025 begin with 208419656 relations and 166566698 unique ideals
- Sat Oct 25 16:45:57 2025 reduce to 208283598 relations and 162357832 ideals in 6 passes
- Sat Oct 25 16:45:57 2025 max relations containing the same ideal: 95
- Sat Oct 25 16:46:35 2025 removing 6083861 relations and 4083861 ideals in 2000000 cliques
- Sat Oct 25 16:46:40 2025 commencing in-memory singleton removal
- Sat Oct 25 16:46:41 2025 begin with 202199737 relations and 162357832 unique ideals
- Sat Oct 25 16:46:44 2025 reduce to 202059862 relations and 158132316 ideals in 6 passes
- Sat Oct 25 16:46:44 2025 max relations containing the same ideal: 93
- Sat Oct 25 16:47:22 2025 removing 6098937 relations and 4098937 ideals in 2000000 cliques
- Sat Oct 25 16:47:26 2025 commencing in-memory singleton removal
- Sat Oct 25 16:47:27 2025 begin with 195960925 relations and 158132316 unique ideals
- Sat Oct 25 16:47:31 2025 reduce to 195816287 relations and 153886919 ideals in 6 passes
- Sat Oct 25 16:47:31 2025 max relations containing the same ideal: 91
- Sat Oct 25 16:48:07 2025 removing 6114752 relations and 4114752 ideals in 2000000 cliques
- Sat Oct 25 16:48:12 2025 commencing in-memory singleton removal
- Sat Oct 25 16:48:12 2025 begin with 189701535 relations and 153886919 unique ideals
- Sat Oct 25 16:48:16 2025 reduce to 189553172 relations and 149621820 ideals in 6 passes
- Sat Oct 25 16:48:16 2025 max relations containing the same ideal: 89
- Sat Oct 25 16:48:51 2025 removing 6131987 relations and 4131987 ideals in 2000000 cliques
- Sat Oct 25 16:48:56 2025 commencing in-memory singleton removal
- Sat Oct 25 16:48:56 2025 begin with 183421185 relations and 149621820 unique ideals
- Sat Oct 25 16:49:00 2025 reduce to 183267737 relations and 145334406 ideals in 6 passes
- Sat Oct 25 16:49:00 2025 max relations containing the same ideal: 87
- Sat Oct 25 16:49:34 2025 removing 6152662 relations and 4152662 ideals in 2000000 cliques
- Sat Oct 25 16:49:39 2025 commencing in-memory singleton removal
- Sat Oct 25 16:49:40 2025 begin with 177115075 relations and 145334406 unique ideals
- Sat Oct 25 16:49:43 2025 reduce to 176956575 relations and 141021077 ideals in 6 passes
- Sat Oct 25 16:49:43 2025 max relations containing the same ideal: 84
- Sat Oct 25 16:50:16 2025 removing 6178928 relations and 4178928 ideals in 2000000 cliques
- Sat Oct 25 16:50:20 2025 commencing in-memory singleton removal
- Sat Oct 25 16:50:21 2025 begin with 170777647 relations and 141021077 unique ideals
- Sat Oct 25 16:50:24 2025 reduce to 170613292 relations and 136675547 ideals in 6 passes
- Sat Oct 25 16:50:24 2025 max relations containing the same ideal: 82
- Sat Oct 25 16:50:57 2025 removing 6202082 relations and 4202082 ideals in 2000000 cliques
- Sat Oct 25 16:51:01 2025 commencing in-memory singleton removal
- Sat Oct 25 16:51:01 2025 begin with 164411210 relations and 136675547 unique ideals
- Sat Oct 25 16:51:04 2025 reduce to 164240716 relations and 132300600 ideals in 6 passes
- Sat Oct 25 16:51:04 2025 max relations containing the same ideal: 82
- Sat Oct 25 16:51:36 2025 removing 6230568 relations and 4230568 ideals in 2000000 cliques
- Sat Oct 25 16:51:40 2025 commencing in-memory singleton removal
- Sat Oct 25 16:51:40 2025 begin with 158010148 relations and 132300600 unique ideals
- Sat Oct 25 16:51:43 2025 reduce to 157832553 relations and 127889903 ideals in 6 passes
- Sat Oct 25 16:51:43 2025 max relations containing the same ideal: 82
- Sat Oct 25 16:52:14 2025 removing 6264146 relations and 4264146 ideals in 2000000 cliques
- Sat Oct 25 16:52:18 2025 commencing in-memory singleton removal
- Sat Oct 25 16:52:19 2025 begin with 151568407 relations and 127889903 unique ideals
- Sat Oct 25 16:52:21 2025 reduce to 151383243 relations and 123437864 ideals in 6 passes
- Sat Oct 25 16:52:21 2025 max relations containing the same ideal: 77
- Sat Oct 25 16:52:51 2025 removing 6294695 relations and 4294695 ideals in 2000000 cliques
- Sat Oct 25 16:52:54 2025 commencing in-memory singleton removal
- Sat Oct 25 16:52:55 2025 begin with 145088548 relations and 123437864 unique ideals
- Sat Oct 25 16:52:58 2025 reduce to 144895023 relations and 118946772 ideals in 7 passes
- Sat Oct 25 16:52:58 2025 max relations containing the same ideal: 75
- Sat Oct 25 16:53:26 2025 removing 6337462 relations and 4337462 ideals in 2000000 cliques
- Sat Oct 25 16:53:30 2025 commencing in-memory singleton removal
- Sat Oct 25 16:53:30 2025 begin with 138557561 relations and 118946772 unique ideals
- Sat Oct 25 16:53:33 2025 reduce to 138356190 relations and 114404836 ideals in 6 passes
- Sat Oct 25 16:53:33 2025 max relations containing the same ideal: 74
- Sat Oct 25 16:54:00 2025 removing 6374112 relations and 4374112 ideals in 2000000 cliques
- Sat Oct 25 16:54:04 2025 commencing in-memory singleton removal
- Sat Oct 25 16:54:04 2025 begin with 131982078 relations and 114404836 unique ideals
- Sat Oct 25 16:54:07 2025 reduce to 131769525 relations and 109814921 ideals in 7 passes
- Sat Oct 25 16:54:07 2025 max relations containing the same ideal: 74
- Sat Oct 25 16:54:34 2025 removing 6415006 relations and 4415006 ideals in 2000000 cliques
- Sat Oct 25 16:54:37 2025 commencing in-memory singleton removal
- Sat Oct 25 16:54:38 2025 begin with 125354519 relations and 109814921 unique ideals
- Sat Oct 25 16:54:40 2025 reduce to 125132612 relations and 105174456 ideals in 6 passes
- Sat Oct 25 16:54:40 2025 max relations containing the same ideal: 72
- Sat Oct 25 16:55:05 2025 removing 6466531 relations and 4466531 ideals in 2000000 cliques
- Sat Oct 25 16:55:08 2025 commencing in-memory singleton removal
- Sat Oct 25 16:55:08 2025 begin with 118666081 relations and 105174456 unique ideals
- Sat Oct 25 16:55:11 2025 reduce to 118430103 relations and 100468148 ideals in 7 passes
- Sat Oct 25 16:55:11 2025 max relations containing the same ideal: 68
- Sat Oct 25 16:55:35 2025 removing 6519254 relations and 4519254 ideals in 2000000 cliques
- Sat Oct 25 16:55:38 2025 commencing in-memory singleton removal
- Sat Oct 25 16:55:38 2025 begin with 111910849 relations and 100468148 unique ideals
- Sat Oct 25 16:55:40 2025 reduce to 111660874 relations and 95694810 ideals in 7 passes
- Sat Oct 25 16:55:40 2025 max relations containing the same ideal: 65
- Sat Oct 25 16:56:03 2025 removing 6571375 relations and 4571375 ideals in 2000000 cliques
- Sat Oct 25 16:56:06 2025 commencing in-memory singleton removal
- Sat Oct 25 16:56:06 2025 begin with 105089499 relations and 95694810 unique ideals
- Sat Oct 25 16:56:08 2025 reduce to 104821480 relations and 90850854 ideals in 7 passes
- Sat Oct 25 16:56:08 2025 max relations containing the same ideal: 62
- Sat Oct 25 16:56:32 2025 removing 6632590 relations and 4632590 ideals in 2000000 cliques
- Sat Oct 25 16:56:35 2025 commencing in-memory singleton removal
- Sat Oct 25 16:56:35 2025 begin with 98188890 relations and 90850854 unique ideals
- Sat Oct 25 16:56:37 2025 reduce to 97900028 relations and 85924195 ideals in 6 passes
- Sat Oct 25 16:56:37 2025 max relations containing the same ideal: 60
- Sat Oct 25 16:56:59 2025 removing 6698601 relations and 4698601 ideals in 2000000 cliques
- Sat Oct 25 16:57:02 2025 commencing in-memory singleton removal
- Sat Oct 25 16:57:02 2025 begin with 91201427 relations and 85924195 unique ideals
- Sat Oct 25 16:57:04 2025 reduce to 90888667 relations and 80907043 ideals in 7 passes
- Sat Oct 25 16:57:04 2025 max relations containing the same ideal: 56
- Sat Oct 25 16:57:25 2025 removing 6774960 relations and 4774960 ideals in 2000000 cliques
- Sat Oct 25 16:57:28 2025 commencing in-memory singleton removal
- Sat Oct 25 16:57:28 2025 begin with 84113707 relations and 80907043 unique ideals
- Sat Oct 25 16:57:30 2025 reduce to 83770682 relations and 75782268 ideals in 7 passes
- Sat Oct 25 16:57:30 2025 max relations containing the same ideal: 54
- Sat Oct 25 16:57:48 2025 removing 6856742 relations and 4856742 ideals in 2000000 cliques
- Sat Oct 25 16:57:51 2025 commencing in-memory singleton removal
- Sat Oct 25 16:57:51 2025 begin with 76913940 relations and 75782268 unique ideals
- Sat Oct 25 16:57:52 2025 reduce to 76530785 relations and 70534617 ideals in 7 passes
- Sat Oct 25 16:57:52 2025 max relations containing the same ideal: 50
- Sat Oct 25 16:58:09 2025 removing 5920517 relations and 4269346 ideals in 1651171 cliques
- Sat Oct 25 16:58:12 2025 commencing in-memory singleton removal
- Sat Oct 25 16:58:12 2025 begin with 70610268 relations and 70534617 unique ideals
- Sat Oct 25 16:58:13 2025 reduce to 70288335 relations and 65937272 ideals in 7 passes
- Sat Oct 25 16:58:13 2025 max relations containing the same ideal: 47
- Sat Oct 25 16:58:37 2025 relations with 0 large ideals: 137919
- Sat Oct 25 16:58:37 2025 relations with 1 large ideals: 218203
- Sat Oct 25 16:58:37 2025 relations with 2 large ideals: 2011343
- Sat Oct 25 16:58:37 2025 relations with 3 large ideals: 7966163
- Sat Oct 25 16:58:37 2025 relations with 4 large ideals: 16395840
- Sat Oct 25 16:58:37 2025 relations with 5 large ideals: 19575035
- Sat Oct 25 16:58:37 2025 relations with 6 large ideals: 14334205
- Sat Oct 25 16:58:37 2025 relations with 7+ large ideals: 9649627
- Sat Oct 25 16:58:37 2025 commencing 2-way merge
- Sat Oct 25 16:59:03 2025 reduce to 45016168 relation sets and 40665105 unique ideals
- Sat Oct 25 16:59:03 2025 commencing full merge
- Sat Oct 25 17:07:05 2025 memory use: 5020.5 MB
- Sat Oct 25 17:07:07 2025 found 21481306 cycles, need 20921305
- Sat Oct 25 17:07:13 2025 weight of 20921305 cycles is about 2301750750 (110.02/cycle)
- Sat Oct 25 17:07:13 2025 distribution of cycle lengths:
- Sat Oct 25 17:07:13 2025 1 relations: 1116257
- Sat Oct 25 17:07:13 2025 2 relations: 1398785
- Sat Oct 25 17:07:13 2025 3 relations: 1607169
- Sat Oct 25 17:07:13 2025 4 relations: 1681975
- Sat Oct 25 17:07:13 2025 5 relations: 1736398
- Sat Oct 25 17:07:13 2025 6 relations: 1736980
- Sat Oct 25 17:07:13 2025 7 relations: 1696119
- Sat Oct 25 17:07:13 2025 8 relations: 1612838
- Sat Oct 25 17:07:13 2025 9 relations: 1489762
- Sat Oct 25 17:07:13 2025 10+ relations: 6845022
- Sat Oct 25 17:07:13 2025 heaviest cycle: 24 relations
- Sat Oct 25 17:07:19 2025 commencing cycle optimization
- Sat Oct 25 17:07:47 2025 start with 161678053 relations
- Sat Oct 25 17:11:09 2025 pruned 6621015 relations
- Sat Oct 25 17:11:09 2025 memory use: 4533.8 MB
- Sat Oct 25 17:11:09 2025 distribution of cycle lengths:
- Sat Oct 25 17:11:09 2025 1 relations: 1116257
- Sat Oct 25 17:11:09 2025 2 relations: 1433073
- Sat Oct 25 17:11:09 2025 3 relations: 1675332
- Sat Oct 25 17:11:09 2025 4 relations: 1752921
- Sat Oct 25 17:11:09 2025 5 relations: 1825859
- Sat Oct 25 17:11:09 2025 6 relations: 1823543
- Sat Oct 25 17:11:09 2025 7 relations: 1787552
- Sat Oct 25 17:11:09 2025 8 relations: 1691001
- Sat Oct 25 17:11:09 2025 9 relations: 1553465
- Sat Oct 25 17:11:09 2025 10+ relations: 6262302
- Sat Oct 25 17:11:09 2025 heaviest cycle: 24 relations
- Sat Oct 25 17:11:29 2025 RelProcTime: 6927
- Sat Oct 25 17:11:29 2025 elapsed time 01:55:28
- Sat Oct 25 17:11:31 2025
- Sat Oct 25 17:11:31 2025
- Sat Oct 25 17:11:31 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Oct 25 17:11:31 2025 random seeds: 95b78f8e d8d7d1c1
- Sat Oct 25 17:11:31 2025 MPI process 0 of 1
- Sat Oct 25 17:11:31 2025 Using 46 OpenMP threads
- Sat Oct 25 17:11:31 2025 factoring 944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 (267 digits)
- Sat Oct 25 17:11:32 2025 no P-1/P+1/ECM available, skipping
- Sat Oct 25 17:11:32 2025 commencing number field sieve (267-digit input)
- Sat Oct 25 17:11:32 2025 R0: 100000000000000000000000000000000000000000000
- Sat Oct 25 17:11:32 2025 R1: -1
- Sat Oct 25 17:11:32 2025 A0: 23
- Sat Oct 25 17:11:32 2025 A1: 0
- Sat Oct 25 17:11:32 2025 A2: 0
- Sat Oct 25 17:11:32 2025 A3: 0
- Sat Oct 25 17:11:32 2025 A4: 0
- Sat Oct 25 17:11:32 2025 A5: 0
- Sat Oct 25 17:11:32 2025 A6: 8500
- Sat Oct 25 17:11:32 2025 skew 0.51, size 1.939e-13, alpha -0.623, combined = 3.537e-14 rroots = 0
- Sat Oct 25 17:11:32 2025
- Sat Oct 25 17:11:32 2025 commencing linear algebra
- Sat Oct 25 17:11:32 2025 using VBITS=256
- Sat Oct 25 17:11:32 2025 stopping after matrix build
- Sat Oct 25 17:11:32 2025 initialized process (0,0) of 1 x 1 grid
- Sat Oct 25 17:11:34 2025 read 20921305 cycles
- Sat Oct 25 17:12:01 2025 cycles contain 68153682 unique relations
- Sat Oct 25 17:12:48 2025 read 68153682 relations
- Sat Oct 25 17:12:53 2025 using 20 quadratic characters above 4294917295
- Sat Oct 25 17:13:00 2025 building initial matrix
- Sat Oct 25 17:23:21 2025 memory use: 8905.0 MB
- Sat Oct 25 17:23:36 2025 read 20921305 cycles
- Sat Oct 25 17:23:38 2025 matrix is 20921111 x 20921305 (9145.3 MB) with weight 2620799231 (125.27/col)
- Sat Oct 25 17:23:38 2025 sparse part has weight 2167263761 (103.59/col)
- Sat Oct 25 17:26:26 2025 filtering completed in 2 passes
- Sat Oct 25 17:26:29 2025 matrix is 20918329 x 20918516 (9145.0 MB) with weight 2620678705 (125.28/col)
- Sat Oct 25 17:26:29 2025 sparse part has weight 2167201877 (103.60/col)
- Sat Oct 25 17:27:08 2025 BLanczosTime: 936
- Sat Oct 25 17:27:08 2025 elapsed time 00:15:37
- Sat Oct 25 17:27:15 2025
- Sat Oct 25 17:27:15 2025
- Sat Oct 25 17:27:15 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Oct 25 17:27:15 2025 random seeds: 1d23c7c3 204205b4
- Sat Oct 25 17:27:15 2025 MPI process 0 of 4
- Sat Oct 25 17:27:15 2025 Using 15 OpenMP threads
- Sat Oct 25 17:27:15 2025 factoring 944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 (267 digits)
- Sat Oct 25 17:27:15 2025 no P-1/P+1/ECM available, skipping
- Sat Oct 25 17:27:15 2025 commencing number field sieve (267-digit input)
- Sat Oct 25 17:27:15 2025 R0: 100000000000000000000000000000000000000000000
- Sat Oct 25 17:27:15 2025 R1: -1
- Sat Oct 25 17:27:15 2025 A0: 23
- Sat Oct 25 17:27:15 2025 A1: 0
- Sat Oct 25 17:27:15 2025 A2: 0
- Sat Oct 25 17:27:15 2025 A3: 0
- Sat Oct 25 17:27:15 2025 A4: 0
- Sat Oct 25 17:27:15 2025 A5: 0
- Sat Oct 25 17:27:15 2025 A6: 8500
- Sat Oct 25 17:27:15 2025 skew 0.51, size 1.939e-13, alpha -0.623, combined = 3.537e-14 rroots = 0
- Sat Oct 25 17:27:15 2025
- Sat Oct 25 17:27:15 2025 commencing linear algebra
- Sat Oct 25 17:27:15 2025 using VBITS=256
- Sat Oct 25 17:27:15 2025 skipping matrix build
- Sat Oct 25 17:27:15 2025 initialized process (0,0) of 2 x 2 grid
- Sat Oct 25 17:27:26 2025 matrix starts at (0, 0)
- Sat Oct 25 17:27:27 2025 matrix is 10459285 x 10459258 (2679.5 MB) with weight 814110324 (77.84/col)
- Sat Oct 25 17:27:27 2025 sparse part has weight 587366209 (56.16/col)
- Sat Oct 25 17:27:27 2025 saving the first 240 matrix rows for later
- Sat Oct 25 17:27:28 2025 matrix includes 256 packed rows
- Sat Oct 25 17:27:30 2025 matrix is 10459045 x 10459258 (2375.0 MB) with weight 496705077 (47.49/col)
- Sat Oct 25 17:27:30 2025 sparse part has weight 455238004 (43.52/col)
- Sat Oct 25 17:27:30 2025 using GPU 0 (NVIDIA H200)
- Sat Oct 25 17:27:30 2025 selected card has CUDA arch 9.0
- Sat Oct 25 17:27:58 2025 commencing Lanczos iteration
- Sat Oct 25 17:27:59 2025 memory use: 5468.1 MB
- Sat Oct 25 17:28:04 2025 linear algebra at 0.1%, ETA 0h56m
- Sat Oct 25 17:28:11 2025 checking every 380000 dimensions, checkpointing every 23180000 dimensions
- Sat Oct 25 18:21:13 2025 lanczos halted after 81958 iterations (dim = 20918089)
- Sat Oct 25 18:22:01 2025 recovered 39 nontrivial dependencies
- Sat Oct 25 18:22:02 2025 BLanczosTime: 3287
- Sat Oct 25 18:22:02 2025 elapsed time 00:54:47
- Sat Oct 25 18:22:03 2025
- Sat Oct 25 18:22:03 2025
- Sat Oct 25 18:22:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Oct 25 18:22:03 2025 random seeds: 8295b106 2e5b7603
- Sat Oct 25 18:22:03 2025 MPI process 0 of 1
- Sat Oct 25 18:22:03 2025 Using 32 OpenMP threads
- Sat Oct 25 18:22:03 2025 factoring 944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 (267 digits)
- Sat Oct 25 18:22:05 2025 no P-1/P+1/ECM available, skipping
- Sat Oct 25 18:22:05 2025 commencing number field sieve (267-digit input)
- Sat Oct 25 18:22:05 2025 R0: 100000000000000000000000000000000000000000000
- Sat Oct 25 18:22:05 2025 R1: -1
- Sat Oct 25 18:22:05 2025 A0: 23
- Sat Oct 25 18:22:05 2025 A1: 0
- Sat Oct 25 18:22:05 2025 A2: 0
- Sat Oct 25 18:22:05 2025 A3: 0
- Sat Oct 25 18:22:05 2025 A4: 0
- Sat Oct 25 18:22:05 2025 A5: 0
- Sat Oct 25 18:22:05 2025 A6: 8500
- Sat Oct 25 18:22:05 2025 skew 0.51, size 1.939e-13, alpha -0.623, combined = 3.537e-14 rroots = 0
- Sat Oct 25 18:22:05 2025
- Sat Oct 25 18:22:05 2025 commencing square root phase
- Sat Oct 25 18:22:05 2025 reading relations for dependency 1
- Sat Oct 25 18:22:08 2025 read 10457388 cycles
- Sat Oct 25 18:22:31 2025 cycles contain 34071840 unique relations
- Sat Oct 25 18:24:11 2025 read 34071840 relations
- Sat Oct 25 18:27:01 2025 multiplying 34071840 relations
- Sat Oct 25 18:30:21 2025 multiply complete, coefficients have about 1321.89 million bits
- Sat Oct 25 18:30:25 2025 initial square root is modulo 850537
- Sat Oct 25 18:41:13 2025 sqrtTime: 1148
- Sat Oct 25 18:41:13 2025 p63 factor: 835415652271980039522106170183684094961072681748435331579626241
- Sat Oct 25 18:41:13 2025 p205 factor: 1130508438375498277945840898661703491581076831891041731661803225610883041011357111129047398704978856064359341458615862842667713168312226610888604669854422695696202184845489251772779335785476645696760654367
- Sat Oct 25 18:41:13 2025 elapsed time 00:19:10
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