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- Fri Dec 27 14:20:37 2024
- Fri Dec 27 14:20:37 2024
- Fri Dec 27 14:20:37 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Dec 27 14:20:37 2024 random seeds: c3e22f73 13820371
- Fri Dec 27 14:20:37 2024 MPI process 0 of 1
- Fri Dec 27 14:20:37 2024 Using 46 OpenMP threads
- Fri Dec 27 14:20:37 2024 factoring 16269287034122164504083503628049303349749873753642014627518432371980915109157145463008544573244401291401436367280246859311759459582951128449446520441997993550633243666205491606171286714973702301995310655204461287083963138952384962928112553 (239 digits)
- Fri Dec 27 14:20:38 2024 no P-1/P+1/ECM available, skipping
- Fri Dec 27 14:20:38 2024 commencing number field sieve (239-digit input)
- Fri Dec 27 14:20:38 2024 R0: 20651053688752398332172078452297747292774989824
- Fri Dec 27 14:20:38 2024 R1: -158560596946699661202728748321533203125
- Fri Dec 27 14:20:38 2024 A0: 32400
- Fri Dec 27 14:20:38 2024 A1: 0
- Fri Dec 27 14:20:38 2024 A2: 0
- Fri Dec 27 14:20:38 2024 A3: 0
- Fri Dec 27 14:20:38 2024 A4: 0
- Fri Dec 27 14:20:38 2024 A5: 0
- Fri Dec 27 14:20:38 2024 A6: 1
- Fri Dec 27 14:20:38 2024 skew 5.65, size 7.613e-14, alpha -0.424, combined = 1.702e-14 rroots = 0
- Fri Dec 27 14:20:38 2024
- Fri Dec 27 14:20:38 2024 commencing relation filtering
- Fri Dec 27 14:20:38 2024 setting target matrix density to 110.0
- Fri Dec 27 14:20:38 2024 estimated available RAM is 192069.2 MB
- Fri Dec 27 14:20:38 2024 commencing duplicate removal, pass 1
- Fri Dec 27 14:30:31 2024 skipped 3689 relations with b > 2^32
- Fri Dec 27 14:30:31 2024 skipped 1 relations with composite factors
- Fri Dec 27 14:30:31 2024 skipped 1089 malformed relations
- Fri Dec 27 14:30:31 2024 found 31432047 hash collisions in 756444305 relations
- Fri Dec 27 14:30:46 2024 added 1219924 free relations
- Fri Dec 27 14:30:46 2024 commencing duplicate removal, pass 2
- Fri Dec 27 14:34:56 2024 found 1 duplicates and 757664228 unique relations
- Fri Dec 27 14:34:56 2024 memory use: 2217.5 MB
- Fri Dec 27 14:34:56 2024 reading ideals above 720000
- Fri Dec 27 14:34:56 2024 commencing singleton removal, initial pass
- Fri Dec 27 15:20:23 2024 memory use: 11024.0 MB
- Fri Dec 27 15:20:24 2024 reading all ideals from disk
- Fri Dec 27 15:21:04 2024 memory use: 38966.8 MB
- Fri Dec 27 15:22:48 2024 keeping 637663322 ideals with weight <= 200, target excess is 4014438
- Fri Dec 27 15:24:47 2024 commencing in-memory singleton removal
- Fri Dec 27 15:24:54 2024 begin with 757664228 relations and 637663322 unique ideals
- Fri Dec 27 15:25:36 2024 reduce to 523008403 relations and 383054135 ideals in 13 passes
- Fri Dec 27 15:25:36 2024 max relations containing the same ideal: 169
- Fri Dec 27 15:28:28 2024 removing 12352720 relations and 10352720 ideals in 2000000 cliques
- Fri Dec 27 15:28:49 2024 commencing in-memory singleton removal
- Fri Dec 27 15:28:54 2024 begin with 510655683 relations and 383054135 unique ideals
- Fri Dec 27 15:29:15 2024 reduce to 510451279 relations and 372495867 ideals in 7 passes
- Fri Dec 27 15:29:15 2024 max relations containing the same ideal: 165
- Fri Dec 27 15:32:14 2024 removing 9458385 relations and 7458385 ideals in 2000000 cliques
- Fri Dec 27 15:32:38 2024 commencing in-memory singleton removal
- Fri Dec 27 15:32:43 2024 begin with 500992894 relations and 372495867 unique ideals
- Fri Dec 27 15:33:00 2024 reduce to 500857024 relations and 364901038 ideals in 6 passes
- Fri Dec 27 15:33:00 2024 max relations containing the same ideal: 162
- Fri Dec 27 15:35:54 2024 removing 8522595 relations and 6522595 ideals in 2000000 cliques
- Fri Dec 27 15:36:17 2024 commencing in-memory singleton removal
- Fri Dec 27 15:36:21 2024 begin with 492334429 relations and 364901038 unique ideals
- Fri Dec 27 15:36:40 2024 reduce to 492216592 relations and 358260097 ideals in 6 passes
- Fri Dec 27 15:36:40 2024 max relations containing the same ideal: 161
- Fri Dec 27 15:39:42 2024 removing 7973249 relations and 5973249 ideals in 2000000 cliques
- Fri Dec 27 15:40:02 2024 commencing in-memory singleton removal
- Fri Dec 27 15:40:06 2024 begin with 484243343 relations and 358260097 unique ideals
- Fri Dec 27 15:40:23 2024 reduce to 484136559 relations and 352179596 ideals in 6 passes
- Fri Dec 27 15:40:23 2024 max relations containing the same ideal: 159
- Fri Dec 27 15:43:18 2024 removing 7603054 relations and 5603054 ideals in 2000000 cliques
- Fri Dec 27 15:43:38 2024 commencing in-memory singleton removal
- Fri Dec 27 15:43:43 2024 begin with 476533505 relations and 352179596 unique ideals
- Fri Dec 27 15:44:03 2024 reduce to 476433301 relations and 346475933 ideals in 6 passes
- Fri Dec 27 15:44:03 2024 max relations containing the same ideal: 157
- Fri Dec 27 15:47:15 2024 removing 7335710 relations and 5335710 ideals in 2000000 cliques
- Fri Dec 27 15:47:37 2024 commencing in-memory singleton removal
- Fri Dec 27 15:47:42 2024 begin with 469097591 relations and 346475933 unique ideals
- Fri Dec 27 15:48:00 2024 reduce to 469003010 relations and 341045270 ideals in 6 passes
- Fri Dec 27 15:48:00 2024 max relations containing the same ideal: 156
- Fri Dec 27 15:50:41 2024 removing 7129791 relations and 5129791 ideals in 2000000 cliques
- Fri Dec 27 15:51:01 2024 commencing in-memory singleton removal
- Fri Dec 27 15:51:05 2024 begin with 461873219 relations and 341045270 unique ideals
- Fri Dec 27 15:51:20 2024 reduce to 461781744 relations and 335823588 ideals in 5 passes
- Fri Dec 27 15:51:20 2024 max relations containing the same ideal: 156
- Fri Dec 27 15:53:47 2024 removing 6959291 relations and 4959291 ideals in 2000000 cliques
- Fri Dec 27 15:54:03 2024 commencing in-memory singleton removal
- Fri Dec 27 15:54:07 2024 begin with 454822453 relations and 335823588 unique ideals
- Fri Dec 27 15:54:22 2024 reduce to 454732765 relations and 330774189 ideals in 5 passes
- Fri Dec 27 15:54:22 2024 max relations containing the same ideal: 154
- Fri Dec 27 15:56:48 2024 removing 6822318 relations and 4822318 ideals in 2000000 cliques
- Fri Dec 27 15:57:05 2024 commencing in-memory singleton removal
- Fri Dec 27 15:57:09 2024 begin with 447910447 relations and 330774189 unique ideals
- Fri Dec 27 15:57:26 2024 reduce to 447823469 relations and 325864446 ideals in 6 passes
- Fri Dec 27 15:57:26 2024 max relations containing the same ideal: 153
- Fri Dec 27 15:59:51 2024 removing 6707388 relations and 4707388 ideals in 2000000 cliques
- Fri Dec 27 16:00:08 2024 commencing in-memory singleton removal
- Fri Dec 27 16:00:12 2024 begin with 441116081 relations and 325864446 unique ideals
- Fri Dec 27 16:00:28 2024 reduce to 441030743 relations and 321071218 ideals in 6 passes
- Fri Dec 27 16:00:28 2024 max relations containing the same ideal: 153
- Fri Dec 27 16:02:46 2024 removing 6611910 relations and 4611910 ideals in 2000000 cliques
- Fri Dec 27 16:03:04 2024 commencing in-memory singleton removal
- Fri Dec 27 16:03:08 2024 begin with 434418833 relations and 321071218 unique ideals
- Fri Dec 27 16:03:23 2024 reduce to 434335623 relations and 316375654 ideals in 6 passes
- Fri Dec 27 16:03:23 2024 max relations containing the same ideal: 150
- Fri Dec 27 16:05:40 2024 removing 6529364 relations and 4529364 ideals in 2000000 cliques
- Fri Dec 27 16:05:55 2024 commencing in-memory singleton removal
- Fri Dec 27 16:05:58 2024 begin with 427806259 relations and 316375654 unique ideals
- Fri Dec 27 16:06:12 2024 reduce to 427722968 relations and 311762525 ideals in 5 passes
- Fri Dec 27 16:06:12 2024 max relations containing the same ideal: 147
- Fri Dec 27 16:08:26 2024 removing 6459592 relations and 4459592 ideals in 2000000 cliques
- Fri Dec 27 16:08:44 2024 commencing in-memory singleton removal
- Fri Dec 27 16:08:48 2024 begin with 421263376 relations and 311762525 unique ideals
- Fri Dec 27 16:09:03 2024 reduce to 421180373 relations and 307219484 ideals in 6 passes
- Fri Dec 27 16:09:03 2024 max relations containing the same ideal: 145
- Fri Dec 27 16:11:23 2024 removing 6392598 relations and 4392598 ideals in 2000000 cliques
- Fri Dec 27 16:11:41 2024 commencing in-memory singleton removal
- Fri Dec 27 16:11:44 2024 begin with 414787775 relations and 307219484 unique ideals
- Fri Dec 27 16:11:59 2024 reduce to 414705564 relations and 302744175 ideals in 6 passes
- Fri Dec 27 16:11:59 2024 max relations containing the same ideal: 143
- Fri Dec 27 16:14:17 2024 removing 6336833 relations and 4336833 ideals in 2000000 cliques
- Fri Dec 27 16:14:33 2024 commencing in-memory singleton removal
- Fri Dec 27 16:14:37 2024 begin with 408368731 relations and 302744175 unique ideals
- Fri Dec 27 16:14:51 2024 reduce to 408286716 relations and 298324830 ideals in 5 passes
- Fri Dec 27 16:14:51 2024 max relations containing the same ideal: 142
- Fri Dec 27 16:17:08 2024 removing 6286528 relations and 4286528 ideals in 2000000 cliques
- Fri Dec 27 16:17:24 2024 commencing in-memory singleton removal
- Fri Dec 27 16:17:28 2024 begin with 402000188 relations and 298324830 unique ideals
- Fri Dec 27 16:17:42 2024 reduce to 401918740 relations and 293956347 ideals in 6 passes
- Fri Dec 27 16:17:42 2024 max relations containing the same ideal: 140
- Fri Dec 27 16:19:52 2024 removing 6241021 relations and 4241021 ideals in 2000000 cliques
- Fri Dec 27 16:20:08 2024 commencing in-memory singleton removal
- Fri Dec 27 16:20:12 2024 begin with 395677719 relations and 293956347 unique ideals
- Fri Dec 27 16:20:26 2024 reduce to 395596220 relations and 289633319 ideals in 6 passes
- Fri Dec 27 16:20:26 2024 max relations containing the same ideal: 137
- Fri Dec 27 16:22:33 2024 removing 6198880 relations and 4198880 ideals in 2000000 cliques
- Fri Dec 27 16:22:46 2024 commencing in-memory singleton removal
- Fri Dec 27 16:22:50 2024 begin with 389397340 relations and 289633319 unique ideals
- Fri Dec 27 16:23:05 2024 reduce to 389314785 relations and 285351360 ideals in 6 passes
- Fri Dec 27 16:23:05 2024 max relations containing the same ideal: 136
- Fri Dec 27 16:25:09 2024 removing 6167254 relations and 4167254 ideals in 2000000 cliques
- Fri Dec 27 16:25:24 2024 commencing in-memory singleton removal
- Fri Dec 27 16:25:28 2024 begin with 383147531 relations and 285351360 unique ideals
- Fri Dec 27 16:25:40 2024 reduce to 383065222 relations and 281101276 ideals in 5 passes
- Fri Dec 27 16:25:40 2024 max relations containing the same ideal: 135
- Fri Dec 27 16:27:43 2024 removing 6132950 relations and 4132950 ideals in 2000000 cliques
- Fri Dec 27 16:27:59 2024 commencing in-memory singleton removal
- Fri Dec 27 16:28:02 2024 begin with 376932272 relations and 281101276 unique ideals
- Fri Dec 27 16:28:15 2024 reduce to 376848786 relations and 276884210 ideals in 5 passes
- Fri Dec 27 16:28:15 2024 max relations containing the same ideal: 135
- Fri Dec 27 16:30:17 2024 removing 6104947 relations and 4104947 ideals in 2000000 cliques
- Fri Dec 27 16:30:32 2024 commencing in-memory singleton removal
- Fri Dec 27 16:30:35 2024 begin with 370743839 relations and 276884210 unique ideals
- Fri Dec 27 16:30:49 2024 reduce to 370660048 relations and 272694847 ideals in 5 passes
- Fri Dec 27 16:30:49 2024 max relations containing the same ideal: 135
- Fri Dec 27 16:32:47 2024 removing 6079045 relations and 4079045 ideals in 2000000 cliques
- Fri Dec 27 16:33:01 2024 commencing in-memory singleton removal
- Fri Dec 27 16:33:05 2024 begin with 364581003 relations and 272694847 unique ideals
- Fri Dec 27 16:33:16 2024 reduce to 364496563 relations and 268530718 ideals in 5 passes
- Fri Dec 27 16:33:16 2024 max relations containing the same ideal: 133
- Fri Dec 27 16:35:23 2024 removing 6054081 relations and 4054081 ideals in 2000000 cliques
- Fri Dec 27 16:35:36 2024 commencing in-memory singleton removal
- Fri Dec 27 16:35:39 2024 begin with 358442482 relations and 268530718 unique ideals
- Fri Dec 27 16:35:52 2024 reduce to 358357147 relations and 264390645 ideals in 6 passes
- Fri Dec 27 16:35:52 2024 max relations containing the same ideal: 132
- Fri Dec 27 16:37:56 2024 removing 6029939 relations and 4029939 ideals in 2000000 cliques
- Fri Dec 27 16:38:09 2024 commencing in-memory singleton removal
- Fri Dec 27 16:38:12 2024 begin with 352327208 relations and 264390645 unique ideals
- Fri Dec 27 16:38:24 2024 reduce to 352241337 relations and 260274093 ideals in 5 passes
- Fri Dec 27 16:38:24 2024 max relations containing the same ideal: 130
- Fri Dec 27 16:40:34 2024 removing 6011110 relations and 4011110 ideals in 2000000 cliques
- Fri Dec 27 16:40:49 2024 commencing in-memory singleton removal
- Fri Dec 27 16:40:53 2024 begin with 346230227 relations and 260274093 unique ideals
- Fri Dec 27 16:41:03 2024 reduce to 346143059 relations and 256175057 ideals in 5 passes
- Fri Dec 27 16:41:03 2024 max relations containing the same ideal: 130
- Fri Dec 27 16:43:00 2024 removing 5993968 relations and 3993968 ideals in 2000000 cliques
- Fri Dec 27 16:43:14 2024 commencing in-memory singleton removal
- Fri Dec 27 16:43:17 2024 begin with 340149091 relations and 256175057 unique ideals
- Fri Dec 27 16:43:31 2024 reduce to 340062053 relations and 252093340 ideals in 6 passes
- Fri Dec 27 16:43:31 2024 max relations containing the same ideal: 130
- Fri Dec 27 16:45:29 2024 removing 5979343 relations and 3979343 ideals in 2000000 cliques
- Fri Dec 27 16:45:44 2024 commencing in-memory singleton removal
- Fri Dec 27 16:45:47 2024 begin with 334082710 relations and 252093340 unique ideals
- Fri Dec 27 16:45:59 2024 reduce to 333994169 relations and 248024673 ideals in 5 passes
- Fri Dec 27 16:45:59 2024 max relations containing the same ideal: 129
- Fri Dec 27 16:47:53 2024 removing 5963293 relations and 3963293 ideals in 2000000 cliques
- Fri Dec 27 16:48:07 2024 commencing in-memory singleton removal
- Fri Dec 27 16:48:10 2024 begin with 328030876 relations and 248024673 unique ideals
- Fri Dec 27 16:48:20 2024 reduce to 327941555 relations and 243971275 ideals in 5 passes
- Fri Dec 27 16:48:20 2024 max relations containing the same ideal: 127
- Fri Dec 27 16:50:13 2024 removing 5952535 relations and 3952535 ideals in 2000000 cliques
- Fri Dec 27 16:50:25 2024 commencing in-memory singleton removal
- Fri Dec 27 16:50:28 2024 begin with 321989020 relations and 243971275 unique ideals
- Fri Dec 27 16:50:39 2024 reduce to 321898310 relations and 239927183 ideals in 5 passes
- Fri Dec 27 16:50:39 2024 max relations containing the same ideal: 127
- Fri Dec 27 16:52:33 2024 removing 5941164 relations and 3941164 ideals in 2000000 cliques
- Fri Dec 27 16:52:46 2024 commencing in-memory singleton removal
- Fri Dec 27 16:52:49 2024 begin with 315957146 relations and 239927183 unique ideals
- Fri Dec 27 16:53:00 2024 reduce to 315864469 relations and 235892446 ideals in 6 passes
- Fri Dec 27 16:53:00 2024 max relations containing the same ideal: 124
- Fri Dec 27 16:54:36 2024 removing 5929878 relations and 3929878 ideals in 2000000 cliques
- Fri Dec 27 16:54:49 2024 commencing in-memory singleton removal
- Fri Dec 27 16:54:51 2024 begin with 309934591 relations and 235892446 unique ideals
- Fri Dec 27 16:55:01 2024 reduce to 309840791 relations and 231867899 ideals in 5 passes
- Fri Dec 27 16:55:01 2024 max relations containing the same ideal: 120
- Fri Dec 27 16:56:38 2024 removing 5924099 relations and 3924099 ideals in 2000000 cliques
- Fri Dec 27 16:56:48 2024 commencing in-memory singleton removal
- Fri Dec 27 16:56:51 2024 begin with 303916692 relations and 231867899 unique ideals
- Fri Dec 27 16:57:01 2024 reduce to 303821299 relations and 227847455 ideals in 5 passes
- Fri Dec 27 16:57:01 2024 max relations containing the same ideal: 119
- Fri Dec 27 16:58:35 2024 removing 5918413 relations and 3918413 ideals in 2000000 cliques
- Fri Dec 27 16:58:46 2024 commencing in-memory singleton removal
- Fri Dec 27 16:58:49 2024 begin with 297902886 relations and 227847455 unique ideals
- Fri Dec 27 16:59:01 2024 reduce to 297806218 relations and 223831457 ideals in 6 passes
- Fri Dec 27 16:59:01 2024 max relations containing the same ideal: 118
- Fri Dec 27 17:00:45 2024 removing 5914999 relations and 3914999 ideals in 2000000 cliques
- Fri Dec 27 17:00:58 2024 commencing in-memory singleton removal
- Fri Dec 27 17:01:01 2024 begin with 291891219 relations and 223831457 unique ideals
- Fri Dec 27 17:01:11 2024 reduce to 291793061 relations and 219817299 ideals in 6 passes
- Fri Dec 27 17:01:11 2024 max relations containing the same ideal: 117
- Fri Dec 27 17:02:44 2024 removing 5911902 relations and 3911902 ideals in 2000000 cliques
- Fri Dec 27 17:02:55 2024 commencing in-memory singleton removal
- Fri Dec 27 17:02:58 2024 begin with 285881159 relations and 219817299 unique ideals
- Fri Dec 27 17:03:07 2024 reduce to 285780949 relations and 215804171 ideals in 6 passes
- Fri Dec 27 17:03:07 2024 max relations containing the same ideal: 115
- Fri Dec 27 17:04:38 2024 removing 5908981 relations and 3908981 ideals in 2000000 cliques
- Fri Dec 27 17:04:49 2024 commencing in-memory singleton removal
- Fri Dec 27 17:04:51 2024 begin with 279871968 relations and 215804171 unique ideals
- Fri Dec 27 17:05:00 2024 reduce to 279770253 relations and 211792368 ideals in 5 passes
- Fri Dec 27 17:05:00 2024 max relations containing the same ideal: 113
- Fri Dec 27 17:06:31 2024 removing 5909839 relations and 3909839 ideals in 2000000 cliques
- Fri Dec 27 17:06:42 2024 commencing in-memory singleton removal
- Fri Dec 27 17:06:44 2024 begin with 273860414 relations and 211792368 unique ideals
- Fri Dec 27 17:06:53 2024 reduce to 273756527 relations and 207777503 ideals in 6 passes
- Fri Dec 27 17:06:53 2024 max relations containing the same ideal: 111
- Fri Dec 27 17:08:20 2024 removing 5909433 relations and 3909433 ideals in 2000000 cliques
- Fri Dec 27 17:08:30 2024 commencing in-memory singleton removal
- Fri Dec 27 17:08:32 2024 begin with 267847094 relations and 207777503 unique ideals
- Fri Dec 27 17:08:41 2024 reduce to 267740811 relations and 203760673 ideals in 6 passes
- Fri Dec 27 17:08:41 2024 max relations containing the same ideal: 108
- Fri Dec 27 17:10:13 2024 removing 5912564 relations and 3912564 ideals in 2000000 cliques
- Fri Dec 27 17:10:23 2024 commencing in-memory singleton removal
- Fri Dec 27 17:10:25 2024 begin with 261828247 relations and 203760673 unique ideals
- Fri Dec 27 17:10:35 2024 reduce to 261719904 relations and 199738583 ideals in 6 passes
- Fri Dec 27 17:10:35 2024 max relations containing the same ideal: 106
- Fri Dec 27 17:12:04 2024 removing 5918160 relations and 3918160 ideals in 2000000 cliques
- Fri Dec 27 17:12:13 2024 commencing in-memory singleton removal
- Fri Dec 27 17:12:15 2024 begin with 255801744 relations and 199738583 unique ideals
- Fri Dec 27 17:12:24 2024 reduce to 255690754 relations and 195708182 ideals in 6 passes
- Fri Dec 27 17:12:24 2024 max relations containing the same ideal: 103
- Fri Dec 27 17:13:44 2024 removing 5923143 relations and 3923143 ideals in 2000000 cliques
- Fri Dec 27 17:13:54 2024 commencing in-memory singleton removal
- Fri Dec 27 17:13:56 2024 begin with 249767611 relations and 195708182 unique ideals
- Fri Dec 27 17:14:04 2024 reduce to 249654451 relations and 191670565 ideals in 5 passes
- Fri Dec 27 17:14:04 2024 max relations containing the same ideal: 102
- Fri Dec 27 17:15:26 2024 removing 5927118 relations and 3927118 ideals in 2000000 cliques
- Fri Dec 27 17:15:35 2024 commencing in-memory singleton removal
- Fri Dec 27 17:15:37 2024 begin with 243727333 relations and 191670565 unique ideals
- Fri Dec 27 17:15:45 2024 reduce to 243611155 relations and 187625913 ideals in 5 passes
- Fri Dec 27 17:15:45 2024 max relations containing the same ideal: 102
- Fri Dec 27 17:17:08 2024 removing 5937021 relations and 3937021 ideals in 2000000 cliques
- Fri Dec 27 17:17:18 2024 commencing in-memory singleton removal
- Fri Dec 27 17:17:21 2024 begin with 237674134 relations and 187625913 unique ideals
- Fri Dec 27 17:17:29 2024 reduce to 237555782 relations and 183569107 ideals in 6 passes
- Fri Dec 27 17:17:29 2024 max relations containing the same ideal: 100
- Fri Dec 27 17:18:42 2024 removing 5948103 relations and 3948103 ideals in 2000000 cliques
- Fri Dec 27 17:18:50 2024 commencing in-memory singleton removal
- Fri Dec 27 17:18:52 2024 begin with 231607679 relations and 183569107 unique ideals
- Fri Dec 27 17:19:00 2024 reduce to 231486281 relations and 179498176 ideals in 6 passes
- Fri Dec 27 17:19:00 2024 max relations containing the same ideal: 100
- Fri Dec 27 17:20:10 2024 removing 5959032 relations and 3959032 ideals in 2000000 cliques
- Fri Dec 27 17:20:19 2024 commencing in-memory singleton removal
- Fri Dec 27 17:20:21 2024 begin with 225527249 relations and 179498176 unique ideals
- Fri Dec 27 17:20:28 2024 reduce to 225402760 relations and 175413110 ideals in 6 passes
- Fri Dec 27 17:20:28 2024 max relations containing the same ideal: 97
- Fri Dec 27 17:21:36 2024 removing 5970479 relations and 3970479 ideals in 2000000 cliques
- Fri Dec 27 17:21:45 2024 commencing in-memory singleton removal
- Fri Dec 27 17:21:47 2024 begin with 219432281 relations and 175413110 unique ideals
- Fri Dec 27 17:21:54 2024 reduce to 219304236 relations and 171312946 ideals in 6 passes
- Fri Dec 27 17:21:54 2024 max relations containing the same ideal: 94
- Fri Dec 27 17:23:10 2024 removing 5987180 relations and 3987180 ideals in 2000000 cliques
- Fri Dec 27 17:23:20 2024 commencing in-memory singleton removal
- Fri Dec 27 17:23:22 2024 begin with 213317056 relations and 171312946 unique ideals
- Fri Dec 27 17:23:30 2024 reduce to 213184539 relations and 167191527 ideals in 6 passes
- Fri Dec 27 17:23:30 2024 max relations containing the same ideal: 93
- Fri Dec 27 17:24:41 2024 removing 6007422 relations and 4007422 ideals in 2000000 cliques
- Fri Dec 27 17:24:49 2024 commencing in-memory singleton removal
- Fri Dec 27 17:24:50 2024 begin with 207177117 relations and 167191527 unique ideals
- Fri Dec 27 17:24:57 2024 reduce to 207040067 relations and 163045314 ideals in 5 passes
- Fri Dec 27 17:24:57 2024 max relations containing the same ideal: 92
- Fri Dec 27 17:26:04 2024 removing 6023656 relations and 4023656 ideals in 2000000 cliques
- Fri Dec 27 17:26:12 2024 commencing in-memory singleton removal
- Fri Dec 27 17:26:14 2024 begin with 201016411 relations and 163045314 unique ideals
- Fri Dec 27 17:26:21 2024 reduce to 200876193 relations and 158879592 ideals in 6 passes
- Fri Dec 27 17:26:21 2024 max relations containing the same ideal: 91
- Fri Dec 27 17:27:31 2024 removing 6045989 relations and 4045989 ideals in 2000000 cliques
- Fri Dec 27 17:27:38 2024 commencing in-memory singleton removal
- Fri Dec 27 17:27:40 2024 begin with 194830204 relations and 158879592 unique ideals
- Fri Dec 27 17:27:47 2024 reduce to 194684380 relations and 154685890 ideals in 6 passes
- Fri Dec 27 17:27:47 2024 max relations containing the same ideal: 88
- Fri Dec 27 17:28:52 2024 removing 6069565 relations and 4069565 ideals in 2000000 cliques
- Fri Dec 27 17:29:01 2024 commencing in-memory singleton removal
- Fri Dec 27 17:29:03 2024 begin with 188614815 relations and 154685890 unique ideals
- Fri Dec 27 17:29:09 2024 reduce to 188464384 relations and 150463843 ideals in 6 passes
- Fri Dec 27 17:29:09 2024 max relations containing the same ideal: 87
- Fri Dec 27 17:30:06 2024 removing 6099515 relations and 4099515 ideals in 2000000 cliques
- Fri Dec 27 17:30:13 2024 commencing in-memory singleton removal
- Fri Dec 27 17:30:15 2024 begin with 182364869 relations and 150463843 unique ideals
- Fri Dec 27 17:30:21 2024 reduce to 182208656 relations and 146206032 ideals in 6 passes
- Fri Dec 27 17:30:21 2024 max relations containing the same ideal: 84
- Fri Dec 27 17:31:16 2024 removing 6127788 relations and 4127788 ideals in 2000000 cliques
- Fri Dec 27 17:31:23 2024 commencing in-memory singleton removal
- Fri Dec 27 17:31:25 2024 begin with 176080868 relations and 146206032 unique ideals
- Fri Dec 27 17:31:31 2024 reduce to 175920065 relations and 141915257 ideals in 6 passes
- Fri Dec 27 17:31:31 2024 max relations containing the same ideal: 83
- Fri Dec 27 17:32:25 2024 removing 6157189 relations and 4157189 ideals in 2000000 cliques
- Fri Dec 27 17:32:31 2024 commencing in-memory singleton removal
- Fri Dec 27 17:32:33 2024 begin with 169762876 relations and 141915257 unique ideals
- Fri Dec 27 17:32:38 2024 reduce to 169595023 relations and 137587869 ideals in 6 passes
- Fri Dec 27 17:32:38 2024 max relations containing the same ideal: 82
- Fri Dec 27 17:33:31 2024 removing 6192407 relations and 4192407 ideals in 2000000 cliques
- Fri Dec 27 17:33:37 2024 commencing in-memory singleton removal
- Fri Dec 27 17:33:39 2024 begin with 163402616 relations and 137587869 unique ideals
- Fri Dec 27 17:33:45 2024 reduce to 163227515 relations and 133217911 ideals in 7 passes
- Fri Dec 27 17:33:45 2024 max relations containing the same ideal: 82
- Fri Dec 27 17:34:34 2024 removing 6231663 relations and 4231663 ideals in 2000000 cliques
- Fri Dec 27 17:34:41 2024 commencing in-memory singleton removal
- Fri Dec 27 17:34:42 2024 begin with 156995852 relations and 133217911 unique ideals
- Fri Dec 27 17:34:49 2024 reduce to 156813322 relations and 128801082 ideals in 7 passes
- Fri Dec 27 17:34:49 2024 max relations containing the same ideal: 79
- Fri Dec 27 17:35:41 2024 removing 6273744 relations and 4273744 ideals in 2000000 cliques
- Fri Dec 27 17:35:48 2024 commencing in-memory singleton removal
- Fri Dec 27 17:35:49 2024 begin with 150539578 relations and 128801082 unique ideals
- Fri Dec 27 17:35:54 2024 reduce to 150349147 relations and 124334058 ideals in 6 passes
- Fri Dec 27 17:35:54 2024 max relations containing the same ideal: 79
- Fri Dec 27 17:36:40 2024 removing 6321952 relations and 4321952 ideals in 2000000 cliques
- Fri Dec 27 17:36:46 2024 commencing in-memory singleton removal
- Fri Dec 27 17:36:48 2024 begin with 144027195 relations and 124334058 unique ideals
- Fri Dec 27 17:36:52 2024 reduce to 143826462 relations and 119808463 ideals in 6 passes
- Fri Dec 27 17:36:52 2024 max relations containing the same ideal: 75
- Fri Dec 27 17:37:37 2024 removing 6370852 relations and 4370852 ideals in 2000000 cliques
- Fri Dec 27 17:37:43 2024 commencing in-memory singleton removal
- Fri Dec 27 17:37:44 2024 begin with 137455610 relations and 119808463 unique ideals
- Fri Dec 27 17:37:49 2024 reduce to 137244481 relations and 115223251 ideals in 6 passes
- Fri Dec 27 17:37:49 2024 max relations containing the same ideal: 72
- Fri Dec 27 17:38:31 2024 removing 6426394 relations and 4426394 ideals in 2000000 cliques
- Fri Dec 27 17:38:37 2024 commencing in-memory singleton removal
- Fri Dec 27 17:38:38 2024 begin with 130818087 relations and 115223251 unique ideals
- Fri Dec 27 17:38:43 2024 reduce to 130596200 relations and 110571580 ideals in 6 passes
- Fri Dec 27 17:38:43 2024 max relations containing the same ideal: 70
- Fri Dec 27 17:39:26 2024 removing 6489460 relations and 4489460 ideals in 2000000 cliques
- Fri Dec 27 17:39:31 2024 commencing in-memory singleton removal
- Fri Dec 27 17:39:32 2024 begin with 124106740 relations and 110571580 unique ideals
- Fri Dec 27 17:39:36 2024 reduce to 123868994 relations and 105840582 ideals in 6 passes
- Fri Dec 27 17:39:36 2024 max relations containing the same ideal: 66
- Fri Dec 27 17:40:18 2024 removing 6554728 relations and 4554728 ideals in 2000000 cliques
- Fri Dec 27 17:40:24 2024 commencing in-memory singleton removal
- Fri Dec 27 17:40:25 2024 begin with 117314266 relations and 105840582 unique ideals
- Fri Dec 27 17:40:29 2024 reduce to 117061190 relations and 101028777 ideals in 7 passes
- Fri Dec 27 17:40:29 2024 max relations containing the same ideal: 63
- Fri Dec 27 17:41:07 2024 removing 6627950 relations and 4627950 ideals in 2000000 cliques
- Fri Dec 27 17:41:12 2024 commencing in-memory singleton removal
- Fri Dec 27 17:41:13 2024 begin with 110433240 relations and 101028777 unique ideals
- Fri Dec 27 17:41:17 2024 reduce to 110162925 relations and 96126120 ideals in 8 passes
- Fri Dec 27 17:41:17 2024 max relations containing the same ideal: 60
- Fri Dec 27 17:41:53 2024 removing 6707166 relations and 4707166 ideals in 2000000 cliques
- Fri Dec 27 17:41:58 2024 commencing in-memory singleton removal
- Fri Dec 27 17:41:59 2024 begin with 103455759 relations and 96126120 unique ideals
- Fri Dec 27 17:42:02 2024 reduce to 103163601 relations and 91121747 ideals in 7 passes
- Fri Dec 27 17:42:02 2024 max relations containing the same ideal: 58
- Fri Dec 27 17:42:35 2024 removing 6792721 relations and 4792721 ideals in 2000000 cliques
- Fri Dec 27 17:42:40 2024 commencing in-memory singleton removal
- Fri Dec 27 17:42:41 2024 begin with 96370880 relations and 91121747 unique ideals
- Fri Dec 27 17:42:44 2024 reduce to 96052996 relations and 86005632 ideals in 7 passes
- Fri Dec 27 17:42:44 2024 max relations containing the same ideal: 57
- Fri Dec 27 17:43:15 2024 removing 6888581 relations and 4888581 ideals in 2000000 cliques
- Fri Dec 27 17:43:19 2024 commencing in-memory singleton removal
- Fri Dec 27 17:43:20 2024 begin with 89164415 relations and 86005632 unique ideals
- Fri Dec 27 17:43:23 2024 reduce to 88817618 relations and 80763792 ideals in 7 passes
- Fri Dec 27 17:43:23 2024 max relations containing the same ideal: 57
- Fri Dec 27 17:43:53 2024 removing 6994946 relations and 4994946 ideals in 2000000 cliques
- Fri Dec 27 17:43:58 2024 commencing in-memory singleton removal
- Fri Dec 27 17:43:59 2024 begin with 81822672 relations and 80763792 unique ideals
- Fri Dec 27 17:44:01 2024 reduce to 81436285 relations and 75375031 ideals in 7 passes
- Fri Dec 27 17:44:01 2024 max relations containing the same ideal: 54
- Fri Dec 27 17:44:31 2024 removing 5291918 relations and 3887413 ideals in 1404505 cliques
- Fri Dec 27 17:44:36 2024 commencing in-memory singleton removal
- Fri Dec 27 17:44:36 2024 begin with 76144367 relations and 75375031 unique ideals
- Fri Dec 27 17:44:39 2024 reduce to 75900859 relations and 71240463 ideals in 7 passes
- Fri Dec 27 17:44:39 2024 max relations containing the same ideal: 51
- Fri Dec 27 17:45:16 2024 relations with 0 large ideals: 147280
- Fri Dec 27 17:45:16 2024 relations with 1 large ideals: 161930
- Fri Dec 27 17:45:16 2024 relations with 2 large ideals: 1568340
- Fri Dec 27 17:45:16 2024 relations with 3 large ideals: 6879295
- Fri Dec 27 17:45:16 2024 relations with 4 large ideals: 15762188
- Fri Dec 27 17:45:16 2024 relations with 5 large ideals: 20979607
- Fri Dec 27 17:45:16 2024 relations with 6 large ideals: 17167771
- Fri Dec 27 17:45:16 2024 relations with 7+ large ideals: 13234448
- Fri Dec 27 17:45:16 2024 commencing 2-way merge
- Fri Dec 27 17:45:53 2024 reduce to 48290979 relation sets and 43630583 unique ideals
- Fri Dec 27 17:45:54 2024 commencing full merge
- Fri Dec 27 17:57:39 2024 memory use: 5693.2 MB
- Fri Dec 27 17:57:43 2024 found 23472492 cycles, need 22860783
- Fri Dec 27 17:57:50 2024 weight of 22860783 cycles is about 2515086780 (110.02/cycle)
- Fri Dec 27 17:57:50 2024 distribution of cycle lengths:
- Fri Dec 27 17:57:50 2024 1 relations: 1435910
- Fri Dec 27 17:57:50 2024 2 relations: 1667952
- Fri Dec 27 17:57:50 2024 3 relations: 1826352
- Fri Dec 27 17:57:50 2024 4 relations: 1870814
- Fri Dec 27 17:57:50 2024 5 relations: 1908067
- Fri Dec 27 17:57:50 2024 6 relations: 1900669
- Fri Dec 27 17:57:50 2024 7 relations: 1855419
- Fri Dec 27 17:57:50 2024 8 relations: 1752942
- Fri Dec 27 17:57:50 2024 9 relations: 1613303
- Fri Dec 27 17:57:50 2024 10+ relations: 7029355
- Fri Dec 27 17:57:50 2024 heaviest cycle: 23 relations
- Fri Dec 27 17:58:04 2024 commencing cycle optimization
- Fri Dec 27 17:58:40 2024 start with 170375268 relations
- Fri Dec 27 18:03:19 2024 pruned 6976504 relations
- Fri Dec 27 18:03:19 2024 memory use: 4847.2 MB
- Fri Dec 27 18:03:19 2024 distribution of cycle lengths:
- Fri Dec 27 18:03:19 2024 1 relations: 1435910
- Fri Dec 27 18:03:19 2024 2 relations: 1707520
- Fri Dec 27 18:03:19 2024 3 relations: 1902195
- Fri Dec 27 18:03:19 2024 4 relations: 1948726
- Fri Dec 27 18:03:19 2024 5 relations: 2005885
- Fri Dec 27 18:03:19 2024 6 relations: 1996889
- Fri Dec 27 18:03:19 2024 7 relations: 1957737
- Fri Dec 27 18:03:19 2024 8 relations: 1835849
- Fri Dec 27 18:03:19 2024 9 relations: 1683523
- Fri Dec 27 18:03:19 2024 10+ relations: 6386549
- Fri Dec 27 18:03:19 2024 heaviest cycle: 23 relations
- Fri Dec 27 18:03:59 2024 RelProcTime: 13401
- Fri Dec 27 18:03:59 2024 elapsed time 03:43:22
- Fri Dec 27 18:04:08 2024
- Fri Dec 27 18:04:08 2024
- Fri Dec 27 18:04:08 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Dec 27 18:04:08 2024 random seeds: 81448548 1669b4ed
- Fri Dec 27 18:04:08 2024 MPI process 0 of 1
- Fri Dec 27 18:04:08 2024 Using 46 OpenMP threads
- Fri Dec 27 18:04:08 2024 factoring 16269287034122164504083503628049303349749873753642014627518432371980915109157145463008544573244401291401436367280246859311759459582951128449446520441997993550633243666205491606171286714973702301995310655204461287083963138952384962928112553 (239 digits)
- Fri Dec 27 18:04:09 2024 no P-1/P+1/ECM available, skipping
- Fri Dec 27 18:04:09 2024 commencing number field sieve (239-digit input)
- Fri Dec 27 18:04:09 2024 R0: 20651053688752398332172078452297747292774989824
- Fri Dec 27 18:04:09 2024 R1: -158560596946699661202728748321533203125
- Fri Dec 27 18:04:09 2024 A0: 32400
- Fri Dec 27 18:04:09 2024 A1: 0
- Fri Dec 27 18:04:09 2024 A2: 0
- Fri Dec 27 18:04:09 2024 A3: 0
- Fri Dec 27 18:04:09 2024 A4: 0
- Fri Dec 27 18:04:09 2024 A5: 0
- Fri Dec 27 18:04:09 2024 A6: 1
- Fri Dec 27 18:04:09 2024 skew 5.65, size 7.613e-14, alpha -0.424, combined = 1.702e-14 rroots = 0
- Fri Dec 27 18:04:09 2024
- Fri Dec 27 18:04:09 2024 commencing linear algebra
- Fri Dec 27 18:04:09 2024 using VBITS=128
- Fri Dec 27 18:04:09 2024 stopping after matrix build
- Fri Dec 27 18:04:09 2024 initialized process (0,0) of 1 x 1 grid
- Fri Dec 27 18:04:13 2024 read 22860783 cycles
- Fri Dec 27 18:04:53 2024 cycles contain 73658037 unique relations
- Fri Dec 27 18:06:32 2024 read 73658037 relations
- Fri Dec 27 18:06:38 2024 using 20 quadratic characters above 4294917295
- Fri Dec 27 18:06:47 2024 building initial matrix
- Fri Dec 27 18:22:20 2024 memory use: 9562.6 MB
- Fri Dec 27 18:22:42 2024 read 22860783 cycles
- Fri Dec 27 18:22:45 2024 matrix is 22860603 x 22860783 (9989.3 MB) with weight 2817347887 (123.24/col)
- Fri Dec 27 18:22:45 2024 sparse part has weight 2367169873 (103.55/col)
- Fri Dec 27 18:27:10 2024 filtering completed in 2 passes
- Fri Dec 27 18:27:13 2024 matrix is 22857914 x 22858091 (9989.0 MB) with weight 2817244897 (123.25/col)
- Fri Dec 27 18:27:13 2024 sparse part has weight 2367117711 (103.56/col)
- Fri Dec 27 18:28:15 2024 BLanczosTime: 1446
- Fri Dec 27 18:28:15 2024 elapsed time 00:24:07
- Sat Dec 28 01:37:33 2024
- Sat Dec 28 01:37:33 2024
- Sat Dec 28 01:37:33 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Dec 28 01:37:33 2024 random seeds: c7d4890a e0739c60
- Sat Dec 28 01:37:33 2024 MPI process 0 of 2
- Sat Dec 28 01:37:33 2024 Using 10 OpenMP threads
- Sat Dec 28 01:37:33 2024 factoring 16269287034122164504083503628049303349749873753642014627518432371980915109157145463008544573244401291401436367280246859311759459582951128449446520441997993550633243666205491606171286714973702301995310655204461287083963138952384962928112553 (239 digits)
- Sat Dec 28 01:37:34 2024 no P-1/P+1/ECM available, skipping
- Sat Dec 28 01:37:34 2024 commencing number field sieve (239-digit input)
- Sat Dec 28 01:37:34 2024 R0: 20651053688752398332172078452297747292774989824
- Sat Dec 28 01:37:34 2024 R1: -158560596946699661202728748321533203125
- Sat Dec 28 01:37:34 2024 A0: 32400
- Sat Dec 28 01:37:34 2024 A1: 0
- Sat Dec 28 01:37:34 2024 A2: 0
- Sat Dec 28 01:37:34 2024 A3: 0
- Sat Dec 28 01:37:34 2024 A4: 0
- Sat Dec 28 01:37:34 2024 A5: 0
- Sat Dec 28 01:37:34 2024 A6: 1
- Sat Dec 28 01:37:34 2024 skew 5.65, size 7.613e-14, alpha -0.424, combined = 1.702e-14 rroots = 0
- Sat Dec 28 01:37:34 2024
- Sat Dec 28 01:37:34 2024 commencing linear algebra
- Sat Dec 28 01:37:34 2024 using VBITS=256
- Sat Dec 28 01:37:34 2024 skipping matrix build
- Sat Dec 28 01:37:34 2024 initialized process (0,0) of 1 x 2 grid
- Sat Dec 28 01:37:55 2024 matrix starts at (0, 0)
- Sat Dec 28 01:37:57 2024 matrix is 22857914 x 11429109 (4994.5 MB) with weight 1408632278 (123.25/col)
- Sat Dec 28 01:37:57 2024 sparse part has weight 1183559023 (103.56/col)
- Sat Dec 28 01:37:57 2024 saving the first 240 matrix rows for later
- Sat Dec 28 01:38:00 2024 matrix includes 256 packed rows
- Sat Dec 28 01:38:04 2024 matrix is 22857674 x 11429109 (4593.3 MB) with weight 1076333218 (94.17/col)
- Sat Dec 28 01:38:04 2024 sparse part has weight 1021247079 (89.35/col)
- Sat Dec 28 01:38:04 2024 using GPU 0 (NVIDIA A100-SXM4-40GB)
- Sat Dec 28 01:38:04 2024 selected card has CUDA arch 8.0
- Sat Dec 28 01:39:46 2024 commencing Lanczos iteration
- Sat Dec 28 01:39:47 2024 memory use: 11758.9 MB
- Sat Dec 28 01:40:10 2024 linear algebra at 0.1%, ETA 4h33m
- Sat Dec 28 01:40:43 2024 checking every 80000 dimensions, checkpointing every 5040000 dimensions
- Sat Dec 28 06:15:37 2024 lanczos halted after 89556 iterations (dim = 22857672)
- Sat Dec 28 06:17:36 2024 recovered 42 nontrivial dependencies
- Sat Dec 28 06:17:36 2024 BLanczosTime: 16802
- Sat Dec 28 06:17:36 2024 elapsed time 04:40:03
- Sat Dec 28 06:17:38 2024
- Sat Dec 28 06:17:38 2024
- Sat Dec 28 06:17:38 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Dec 28 06:17:38 2024 random seeds: 38651437 fa4ebf33
- Sat Dec 28 06:17:38 2024 MPI process 0 of 1
- Sat Dec 28 06:17:38 2024 Using 32 OpenMP threads
- Sat Dec 28 06:17:38 2024 factoring 16269287034122164504083503628049303349749873753642014627518432371980915109157145463008544573244401291401436367280246859311759459582951128449446520441997993550633243666205491606171286714973702301995310655204461287083963138952384962928112553 (239 digits)
- Sat Dec 28 06:17:39 2024 no P-1/P+1/ECM available, skipping
- Sat Dec 28 06:17:39 2024 commencing number field sieve (239-digit input)
- Sat Dec 28 06:17:39 2024 R0: 20651053688752398332172078452297747292774989824
- Sat Dec 28 06:17:39 2024 R1: -158560596946699661202728748321533203125
- Sat Dec 28 06:17:39 2024 A0: 32400
- Sat Dec 28 06:17:39 2024 A1: 0
- Sat Dec 28 06:17:39 2024 A2: 0
- Sat Dec 28 06:17:39 2024 A3: 0
- Sat Dec 28 06:17:39 2024 A4: 0
- Sat Dec 28 06:17:39 2024 A5: 0
- Sat Dec 28 06:17:39 2024 A6: 1
- Sat Dec 28 06:17:39 2024 skew 5.65, size 7.613e-14, alpha -0.424, combined = 1.702e-14 rroots = 0
- Sat Dec 28 06:17:39 2024
- Sat Dec 28 06:17:39 2024 commencing square root phase
- Sat Dec 28 06:17:39 2024 reading relations for dependency 1
- Sat Dec 28 06:17:42 2024 read 11427888 cycles
- Sat Dec 28 06:18:01 2024 cycles contain 36823776 unique relations
- Sat Dec 28 06:20:54 2024 read 36823776 relations
- Sat Dec 28 06:24:07 2024 multiplying 36823776 relations
- Sat Dec 28 06:26:31 2024 multiply complete, coefficients have about 1056.53 million bits
- Sat Dec 28 06:26:35 2024 initial square root is modulo 3010539787
- Sat Dec 28 06:33:41 2024 sqrtTime: 962
- Sat Dec 28 06:33:41 2024 p82 factor: 2391188600985279563731850937635090563509976447926671865258894813445155210642035009
- Sat Dec 28 06:33:41 2024 p157 factor: 6803849360698052330241827733288257789406115622185267693644654260007320285621925419742708422693144836731336776349270266031867122431726224370509694818879168617
- Sat Dec 28 06:33:41 2024 elapsed time 00:16:03
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