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- Tue Sep 10 12:45:45 2024
- Tue Sep 10 12:45:45 2024
- Tue Sep 10 12:45:45 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Sep 10 12:45:45 2024 random seeds: 57b2162b a52582e6
- Tue Sep 10 12:45:45 2024 MPI process 0 of 1
- Tue Sep 10 12:45:45 2024 Using 46 OpenMP threads
- Tue Sep 10 12:45:45 2024 factoring 21398526394119786941997384613784021984401023285673250891769119732154351335534257922992769314697246600969323216832363318196667074318438485610667511644530242844218007126131467872223 (179 digits)
- Tue Sep 10 12:45:45 2024 no P-1/P+1/ECM available, skipping
- Tue Sep 10 12:45:45 2024 commencing number field sieve (179-digit input)
- Tue Sep 10 12:45:45 2024 R0: 31256472004106859795263013711750786
- Tue Sep 10 12:45:45 2024 R1: 886867945611693701823867097
- Tue Sep 10 12:45:45 2024 A0: 3346141619407944812992892085663274281011820
- Tue Sep 10 12:45:45 2024 A1: -21638834945224241318451738067568791
- Tue Sep 10 12:45:45 2024 A2: -149719590191264653656720683250
- Tue Sep 10 12:45:45 2024 A3: 4649074072373832319963
- Tue Sep 10 12:45:45 2024 A4: 486456041965242
- Tue Sep 10 12:45:45 2024 A5: 2411640
- Tue Sep 10 12:45:45 2024 skew 16910621.96, size 2.158e-17, alpha -8.225, combined = 1.141e-13 rroots = 5
- Tue Sep 10 12:45:45 2024
- Tue Sep 10 12:45:45 2024 commencing relation filtering
- Tue Sep 10 12:45:45 2024 setting target matrix density to 110.0
- Tue Sep 10 12:45:45 2024 estimated available RAM is 192069.2 MB
- Tue Sep 10 12:45:45 2024 commencing duplicate removal, pass 1
- Tue Sep 10 12:51:47 2024 error -15 reading relation 491583811
- Tue Sep 10 12:52:15 2024 skipped 2 relations with composite factors
- Tue Sep 10 12:52:15 2024 skipped 379 malformed relations
- Tue Sep 10 12:52:15 2024 found 30108967 hash collisions in 529399865 relations
- Tue Sep 10 12:52:46 2024 added 122297 free relations
- Tue Sep 10 12:52:46 2024 commencing duplicate removal, pass 2
- Tue Sep 10 12:55:05 2024 found 0 duplicates and 529522162 unique relations
- Tue Sep 10 12:55:05 2024 memory use: 1705.5 MB
- Tue Sep 10 12:55:06 2024 reading ideals above 720000
- Tue Sep 10 12:55:06 2024 commencing singleton removal, initial pass
- Tue Sep 10 13:16:29 2024 memory use: 11024.0 MB
- Tue Sep 10 13:16:29 2024 reading all ideals from disk
- Tue Sep 10 13:16:45 2024 memory use: 25775.7 MB
- Tue Sep 10 13:17:49 2024 keeping 439614780 ideals with weight <= 200, target excess is 2637070
- Tue Sep 10 13:19:06 2024 commencing in-memory singleton removal
- Tue Sep 10 13:19:11 2024 begin with 529522162 relations and 439614780 unique ideals
- Tue Sep 10 13:19:34 2024 reduce to 360098594 relations and 257259934 ideals in 12 passes
- Tue Sep 10 13:19:34 2024 max relations containing the same ideal: 169
- Tue Sep 10 13:21:07 2024 removing 10935959 relations and 8935959 ideals in 2000000 cliques
- Tue Sep 10 13:21:22 2024 commencing in-memory singleton removal
- Tue Sep 10 13:21:25 2024 begin with 349162635 relations and 257259934 unique ideals
- Tue Sep 10 13:21:40 2024 reduce to 348915837 relations and 248075189 ideals in 9 passes
- Tue Sep 10 13:21:40 2024 max relations containing the same ideal: 162
- Tue Sep 10 13:23:20 2024 removing 8364959 relations and 6364959 ideals in 2000000 cliques
- Tue Sep 10 13:23:33 2024 commencing in-memory singleton removal
- Tue Sep 10 13:23:36 2024 begin with 340550878 relations and 248075189 unique ideals
- Tue Sep 10 13:23:49 2024 reduce to 340386624 relations and 241544920 ideals in 7 passes
- Tue Sep 10 13:23:49 2024 max relations containing the same ideal: 161
- Tue Sep 10 13:25:25 2024 removing 7555288 relations and 5555288 ideals in 2000000 cliques
- Tue Sep 10 13:25:38 2024 commencing in-memory singleton removal
- Tue Sep 10 13:25:40 2024 begin with 332831336 relations and 241544920 unique ideals
- Tue Sep 10 13:25:51 2024 reduce to 332690925 relations and 235848271 ideals in 6 passes
- Tue Sep 10 13:25:51 2024 max relations containing the same ideal: 158
- Tue Sep 10 13:27:24 2024 removing 7103652 relations and 5103652 ideals in 2000000 cliques
- Tue Sep 10 13:27:36 2024 commencing in-memory singleton removal
- Tue Sep 10 13:27:39 2024 begin with 325587273 relations and 235848271 unique ideals
- Tue Sep 10 13:27:50 2024 reduce to 325459250 relations and 230615768 ideals in 6 passes
- Tue Sep 10 13:27:50 2024 max relations containing the same ideal: 157
- Tue Sep 10 13:29:17 2024 removing 6808227 relations and 4808227 ideals in 2000000 cliques
- Tue Sep 10 13:29:29 2024 commencing in-memory singleton removal
- Tue Sep 10 13:29:32 2024 begin with 318651023 relations and 230615768 unique ideals
- Tue Sep 10 13:29:43 2024 reduce to 318530232 relations and 225685950 ideals in 6 passes
- Tue Sep 10 13:29:43 2024 max relations containing the same ideal: 155
- Tue Sep 10 13:31:12 2024 removing 6590720 relations and 4590720 ideals in 2000000 cliques
- Tue Sep 10 13:31:25 2024 commencing in-memory singleton removal
- Tue Sep 10 13:31:28 2024 begin with 311939512 relations and 225685950 unique ideals
- Tue Sep 10 13:31:37 2024 reduce to 311825204 relations and 220980119 ideals in 5 passes
- Tue Sep 10 13:31:37 2024 max relations containing the same ideal: 153
- Tue Sep 10 13:33:04 2024 removing 6429966 relations and 4429966 ideals in 2000000 cliques
- Tue Sep 10 13:33:15 2024 commencing in-memory singleton removal
- Tue Sep 10 13:33:18 2024 begin with 305395238 relations and 220980119 unique ideals
- Tue Sep 10 13:33:28 2024 reduce to 305285324 relations and 216439475 ideals in 6 passes
- Tue Sep 10 13:33:28 2024 max relations containing the same ideal: 151
- Tue Sep 10 13:34:51 2024 removing 6299634 relations and 4299634 ideals in 2000000 cliques
- Tue Sep 10 13:35:03 2024 commencing in-memory singleton removal
- Tue Sep 10 13:35:06 2024 begin with 298985690 relations and 216439475 unique ideals
- Tue Sep 10 13:35:15 2024 reduce to 298877860 relations and 212031247 ideals in 6 passes
- Tue Sep 10 13:35:15 2024 max relations containing the same ideal: 150
- Tue Sep 10 13:36:26 2024 removing 6192510 relations and 4192510 ideals in 2000000 cliques
- Tue Sep 10 13:36:39 2024 commencing in-memory singleton removal
- Tue Sep 10 13:36:42 2024 begin with 292685350 relations and 212031247 unique ideals
- Tue Sep 10 13:36:50 2024 reduce to 292579491 relations and 207732085 ideals in 5 passes
- Tue Sep 10 13:36:50 2024 max relations containing the same ideal: 148
- Tue Sep 10 13:38:00 2024 removing 6105996 relations and 4105996 ideals in 2000000 cliques
- Tue Sep 10 13:38:11 2024 commencing in-memory singleton removal
- Tue Sep 10 13:38:14 2024 begin with 286473495 relations and 207732085 unique ideals
- Tue Sep 10 13:38:23 2024 reduce to 286370143 relations and 203521924 ideals in 6 passes
- Tue Sep 10 13:38:23 2024 max relations containing the same ideal: 143
- Tue Sep 10 13:39:37 2024 removing 6029791 relations and 4029791 ideals in 2000000 cliques
- Tue Sep 10 13:39:48 2024 commencing in-memory singleton removal
- Tue Sep 10 13:39:50 2024 begin with 280340352 relations and 203521924 unique ideals
- Tue Sep 10 13:39:59 2024 reduce to 280237221 relations and 199388133 ideals in 5 passes
- Tue Sep 10 13:39:59 2024 max relations containing the same ideal: 142
- Tue Sep 10 13:41:08 2024 removing 5964215 relations and 3964215 ideals in 2000000 cliques
- Tue Sep 10 13:41:19 2024 commencing in-memory singleton removal
- Tue Sep 10 13:41:21 2024 begin with 274273006 relations and 199388133 unique ideals
- Tue Sep 10 13:41:30 2024 reduce to 274170724 relations and 195320809 ideals in 6 passes
- Tue Sep 10 13:41:30 2024 max relations containing the same ideal: 140
- Tue Sep 10 13:42:37 2024 removing 5909394 relations and 3909394 ideals in 2000000 cliques
- Tue Sep 10 13:42:48 2024 commencing in-memory singleton removal
- Tue Sep 10 13:42:50 2024 begin with 268261330 relations and 195320809 unique ideals
- Tue Sep 10 13:42:58 2024 reduce to 268159372 relations and 191308606 ideals in 6 passes
- Tue Sep 10 13:42:58 2024 max relations containing the same ideal: 139
- Tue Sep 10 13:44:14 2024 removing 5859793 relations and 3859793 ideals in 2000000 cliques
- Tue Sep 10 13:44:24 2024 commencing in-memory singleton removal
- Tue Sep 10 13:44:26 2024 begin with 262299579 relations and 191308606 unique ideals
- Tue Sep 10 13:44:34 2024 reduce to 262197880 relations and 187346216 ideals in 6 passes
- Tue Sep 10 13:44:34 2024 max relations containing the same ideal: 136
- Tue Sep 10 13:45:47 2024 removing 5818272 relations and 3818272 ideals in 2000000 cliques
- Tue Sep 10 13:45:56 2024 commencing in-memory singleton removal
- Tue Sep 10 13:45:59 2024 begin with 256379608 relations and 187346216 unique ideals
- Tue Sep 10 13:46:07 2024 reduce to 256277509 relations and 183424883 ideals in 6 passes
- Tue Sep 10 13:46:07 2024 max relations containing the same ideal: 134
- Tue Sep 10 13:47:17 2024 removing 5779167 relations and 3779167 ideals in 2000000 cliques
- Tue Sep 10 13:47:26 2024 commencing in-memory singleton removal
- Tue Sep 10 13:47:28 2024 begin with 250498342 relations and 183424883 unique ideals
- Tue Sep 10 13:47:36 2024 reduce to 250395787 relations and 179542215 ideals in 6 passes
- Tue Sep 10 13:47:36 2024 max relations containing the same ideal: 132
- Tue Sep 10 13:48:45 2024 removing 5746354 relations and 3746354 ideals in 2000000 cliques
- Tue Sep 10 13:48:54 2024 commencing in-memory singleton removal
- Tue Sep 10 13:48:56 2024 begin with 244649433 relations and 179542215 unique ideals
- Tue Sep 10 13:49:04 2024 reduce to 244546907 relations and 175692346 ideals in 6 passes
- Tue Sep 10 13:49:04 2024 max relations containing the same ideal: 130
- Tue Sep 10 13:50:13 2024 removing 5719598 relations and 3719598 ideals in 2000000 cliques
- Tue Sep 10 13:50:24 2024 commencing in-memory singleton removal
- Tue Sep 10 13:50:26 2024 begin with 238827309 relations and 175692346 unique ideals
- Tue Sep 10 13:50:33 2024 reduce to 238723971 relations and 171868363 ideals in 6 passes
- Tue Sep 10 13:50:33 2024 max relations containing the same ideal: 129
- Tue Sep 10 13:51:33 2024 removing 5690076 relations and 3690076 ideals in 2000000 cliques
- Tue Sep 10 13:51:42 2024 commencing in-memory singleton removal
- Tue Sep 10 13:51:44 2024 begin with 233033895 relations and 171868363 unique ideals
- Tue Sep 10 13:51:53 2024 reduce to 232929986 relations and 168073277 ideals in 7 passes
- Tue Sep 10 13:51:53 2024 max relations containing the same ideal: 126
- Tue Sep 10 13:52:56 2024 removing 5671198 relations and 3671198 ideals in 2000000 cliques
- Tue Sep 10 13:53:04 2024 commencing in-memory singleton removal
- Tue Sep 10 13:53:06 2024 begin with 227258788 relations and 168073277 unique ideals
- Tue Sep 10 13:53:12 2024 reduce to 227153228 relations and 164295358 ideals in 5 passes
- Tue Sep 10 13:53:12 2024 max relations containing the same ideal: 125
- Tue Sep 10 13:54:13 2024 removing 5649724 relations and 3649724 ideals in 2000000 cliques
- Tue Sep 10 13:54:21 2024 commencing in-memory singleton removal
- Tue Sep 10 13:54:23 2024 begin with 221503504 relations and 164295358 unique ideals
- Tue Sep 10 13:54:30 2024 reduce to 221396178 relations and 160537140 ideals in 6 passes
- Tue Sep 10 13:54:30 2024 max relations containing the same ideal: 123
- Tue Sep 10 13:55:31 2024 removing 5633592 relations and 3633592 ideals in 2000000 cliques
- Tue Sep 10 13:55:39 2024 commencing in-memory singleton removal
- Tue Sep 10 13:55:41 2024 begin with 215762586 relations and 160537140 unique ideals
- Tue Sep 10 13:55:48 2024 reduce to 215652546 relations and 156792277 ideals in 6 passes
- Tue Sep 10 13:55:48 2024 max relations containing the same ideal: 122
- Tue Sep 10 13:56:46 2024 removing 5618176 relations and 3618176 ideals in 2000000 cliques
- Tue Sep 10 13:56:53 2024 commencing in-memory singleton removal
- Tue Sep 10 13:56:55 2024 begin with 210034370 relations and 156792277 unique ideals
- Tue Sep 10 13:57:02 2024 reduce to 209923320 relations and 153061664 ideals in 6 passes
- Tue Sep 10 13:57:02 2024 max relations containing the same ideal: 120
- Tue Sep 10 13:57:58 2024 removing 5607083 relations and 3607083 ideals in 2000000 cliques
- Tue Sep 10 13:58:05 2024 commencing in-memory singleton removal
- Tue Sep 10 13:58:07 2024 begin with 204316237 relations and 153061664 unique ideals
- Tue Sep 10 13:58:13 2024 reduce to 204203497 relations and 149340493 ideals in 5 passes
- Tue Sep 10 13:58:13 2024 max relations containing the same ideal: 117
- Tue Sep 10 13:59:10 2024 removing 5594747 relations and 3594747 ideals in 2000000 cliques
- Tue Sep 10 13:59:18 2024 commencing in-memory singleton removal
- Tue Sep 10 13:59:19 2024 begin with 198608750 relations and 149340493 unique ideals
- Tue Sep 10 13:59:25 2024 reduce to 198493109 relations and 145628709 ideals in 6 passes
- Tue Sep 10 13:59:25 2024 max relations containing the same ideal: 115
- Tue Sep 10 14:00:15 2024 removing 5585476 relations and 3585476 ideals in 2000000 cliques
- Tue Sep 10 14:00:23 2024 commencing in-memory singleton removal
- Tue Sep 10 14:00:24 2024 begin with 192907633 relations and 145628709 unique ideals
- Tue Sep 10 14:00:30 2024 reduce to 192790131 relations and 141924209 ideals in 5 passes
- Tue Sep 10 14:00:30 2024 max relations containing the same ideal: 114
- Tue Sep 10 14:01:18 2024 removing 5583755 relations and 3583755 ideals in 2000000 cliques
- Tue Sep 10 14:01:26 2024 commencing in-memory singleton removal
- Tue Sep 10 14:01:27 2024 begin with 187206376 relations and 141924209 unique ideals
- Tue Sep 10 14:01:33 2024 reduce to 187086723 relations and 138219215 ideals in 6 passes
- Tue Sep 10 14:01:33 2024 max relations containing the same ideal: 113
- Tue Sep 10 14:02:19 2024 removing 5579544 relations and 3579544 ideals in 2000000 cliques
- Tue Sep 10 14:02:26 2024 commencing in-memory singleton removal
- Tue Sep 10 14:02:27 2024 begin with 181507179 relations and 138219215 unique ideals
- Tue Sep 10 14:02:33 2024 reduce to 181383158 relations and 134514011 ideals in 6 passes
- Tue Sep 10 14:02:33 2024 max relations containing the same ideal: 111
- Tue Sep 10 14:03:19 2024 removing 5579971 relations and 3579971 ideals in 2000000 cliques
- Tue Sep 10 14:03:26 2024 commencing in-memory singleton removal
- Tue Sep 10 14:03:28 2024 begin with 175803187 relations and 134514011 unique ideals
- Tue Sep 10 14:03:33 2024 reduce to 175675607 relations and 130804654 ideals in 6 passes
- Tue Sep 10 14:03:33 2024 max relations containing the same ideal: 107
- Tue Sep 10 14:04:20 2024 removing 5581256 relations and 3581256 ideals in 2000000 cliques
- Tue Sep 10 14:04:26 2024 commencing in-memory singleton removal
- Tue Sep 10 14:04:28 2024 begin with 170094351 relations and 130804654 unique ideals
- Tue Sep 10 14:04:33 2024 reduce to 169962173 relations and 127089340 ideals in 6 passes
- Tue Sep 10 14:04:33 2024 max relations containing the same ideal: 104
- Tue Sep 10 14:05:18 2024 removing 5585856 relations and 3585856 ideals in 2000000 cliques
- Tue Sep 10 14:05:25 2024 commencing in-memory singleton removal
- Tue Sep 10 14:05:26 2024 begin with 164376317 relations and 127089340 unique ideals
- Tue Sep 10 14:05:31 2024 reduce to 164240612 relations and 123365772 ideals in 5 passes
- Tue Sep 10 14:05:31 2024 max relations containing the same ideal: 101
- Tue Sep 10 14:06:15 2024 removing 5592176 relations and 3592176 ideals in 2000000 cliques
- Tue Sep 10 14:06:22 2024 commencing in-memory singleton removal
- Tue Sep 10 14:06:23 2024 begin with 158648436 relations and 123365772 unique ideals
- Tue Sep 10 14:06:28 2024 reduce to 158507956 relations and 119631069 ideals in 6 passes
- Tue Sep 10 14:06:28 2024 max relations containing the same ideal: 98
- Tue Sep 10 14:07:08 2024 removing 5602675 relations and 3602675 ideals in 2000000 cliques
- Tue Sep 10 14:07:14 2024 commencing in-memory singleton removal
- Tue Sep 10 14:07:15 2024 begin with 152905281 relations and 119631069 unique ideals
- Tue Sep 10 14:07:20 2024 reduce to 152759765 relations and 115880735 ideals in 6 passes
- Tue Sep 10 14:07:20 2024 max relations containing the same ideal: 95
- Tue Sep 10 14:08:00 2024 removing 5611461 relations and 3611461 ideals in 2000000 cliques
- Tue Sep 10 14:08:06 2024 commencing in-memory singleton removal
- Tue Sep 10 14:08:07 2024 begin with 147148304 relations and 115880735 unique ideals
- Tue Sep 10 14:08:12 2024 reduce to 146996887 relations and 112115580 ideals in 6 passes
- Tue Sep 10 14:08:12 2024 max relations containing the same ideal: 92
- Tue Sep 10 14:08:53 2024 removing 5629608 relations and 3629608 ideals in 2000000 cliques
- Tue Sep 10 14:08:58 2024 commencing in-memory singleton removal
- Tue Sep 10 14:09:00 2024 begin with 141367279 relations and 112115580 unique ideals
- Tue Sep 10 14:09:04 2024 reduce to 141209199 relations and 108325384 ideals in 6 passes
- Tue Sep 10 14:09:04 2024 max relations containing the same ideal: 91
- Tue Sep 10 14:09:41 2024 removing 5646843 relations and 3646843 ideals in 2000000 cliques
- Tue Sep 10 14:09:47 2024 commencing in-memory singleton removal
- Tue Sep 10 14:09:48 2024 begin with 135562356 relations and 108325384 unique ideals
- Tue Sep 10 14:09:52 2024 reduce to 135397934 relations and 104511366 ideals in 6 passes
- Tue Sep 10 14:09:52 2024 max relations containing the same ideal: 88
- Tue Sep 10 14:10:27 2024 removing 5669205 relations and 3669205 ideals in 2000000 cliques
- Tue Sep 10 14:10:33 2024 commencing in-memory singleton removal
- Tue Sep 10 14:10:34 2024 begin with 129728729 relations and 104511366 unique ideals
- Tue Sep 10 14:10:38 2024 reduce to 129554967 relations and 100665489 ideals in 6 passes
- Tue Sep 10 14:10:38 2024 max relations containing the same ideal: 85
- Tue Sep 10 14:11:11 2024 removing 5699263 relations and 3699263 ideals in 2000000 cliques
- Tue Sep 10 14:11:17 2024 commencing in-memory singleton removal
- Tue Sep 10 14:11:18 2024 begin with 123855704 relations and 100665489 unique ideals
- Tue Sep 10 14:11:22 2024 reduce to 123673282 relations and 96780648 ideals in 6 passes
- Tue Sep 10 14:11:22 2024 max relations containing the same ideal: 82
- Tue Sep 10 14:11:56 2024 removing 5729739 relations and 3729739 ideals in 2000000 cliques
- Tue Sep 10 14:12:01 2024 commencing in-memory singleton removal
- Tue Sep 10 14:12:02 2024 begin with 117943543 relations and 96780648 unique ideals
- Tue Sep 10 14:12:05 2024 reduce to 117750221 relations and 92854179 ideals in 6 passes
- Tue Sep 10 14:12:05 2024 max relations containing the same ideal: 80
- Tue Sep 10 14:12:36 2024 removing 5769304 relations and 3769304 ideals in 2000000 cliques
- Tue Sep 10 14:12:41 2024 commencing in-memory singleton removal
- Tue Sep 10 14:12:42 2024 begin with 111980917 relations and 92854179 unique ideals
- Tue Sep 10 14:12:45 2024 reduce to 111774252 relations and 88874512 ideals in 6 passes
- Tue Sep 10 14:12:45 2024 max relations containing the same ideal: 76
- Tue Sep 10 14:13:12 2024 removing 5813094 relations and 3813094 ideals in 2000000 cliques
- Tue Sep 10 14:13:17 2024 commencing in-memory singleton removal
- Tue Sep 10 14:13:18 2024 begin with 105961158 relations and 88874512 unique ideals
- Tue Sep 10 14:13:21 2024 reduce to 105741385 relations and 84837522 ideals in 6 passes
- Tue Sep 10 14:13:21 2024 max relations containing the same ideal: 73
- Tue Sep 10 14:13:47 2024 removing 5866156 relations and 3866156 ideals in 2000000 cliques
- Tue Sep 10 14:13:51 2024 commencing in-memory singleton removal
- Tue Sep 10 14:13:52 2024 begin with 99875229 relations and 84837522 unique ideals
- Tue Sep 10 14:13:55 2024 reduce to 99639527 relations and 80731141 ideals in 6 passes
- Tue Sep 10 14:13:55 2024 max relations containing the same ideal: 73
- Tue Sep 10 14:14:19 2024 removing 5925753 relations and 3925753 ideals in 2000000 cliques
- Tue Sep 10 14:14:23 2024 commencing in-memory singleton removal
- Tue Sep 10 14:14:24 2024 begin with 93713774 relations and 80731141 unique ideals
- Tue Sep 10 14:14:27 2024 reduce to 93456883 relations and 76543474 ideals in 7 passes
- Tue Sep 10 14:14:27 2024 max relations containing the same ideal: 70
- Tue Sep 10 14:14:51 2024 removing 5999851 relations and 3999851 ideals in 2000000 cliques
- Tue Sep 10 14:14:55 2024 commencing in-memory singleton removal
- Tue Sep 10 14:14:56 2024 begin with 87457032 relations and 76543474 unique ideals
- Tue Sep 10 14:14:58 2024 reduce to 87176336 relations and 72257262 ideals in 6 passes
- Tue Sep 10 14:14:58 2024 max relations containing the same ideal: 67
- Tue Sep 10 14:15:21 2024 removing 6085802 relations and 4085802 ideals in 2000000 cliques
- Tue Sep 10 14:15:25 2024 commencing in-memory singleton removal
- Tue Sep 10 14:15:25 2024 begin with 81090534 relations and 72257262 unique ideals
- Tue Sep 10 14:15:28 2024 reduce to 80781447 relations and 67855782 ideals in 7 passes
- Tue Sep 10 14:15:28 2024 max relations containing the same ideal: 64
- Tue Sep 10 14:15:49 2024 removing 6183277 relations and 4183277 ideals in 2000000 cliques
- Tue Sep 10 14:15:53 2024 commencing in-memory singleton removal
- Tue Sep 10 14:15:53 2024 begin with 74598170 relations and 67855782 unique ideals
- Tue Sep 10 14:15:55 2024 reduce to 74251046 relations and 63317530 ideals in 6 passes
- Tue Sep 10 14:15:55 2024 max relations containing the same ideal: 60
- Tue Sep 10 14:16:15 2024 removing 6304837 relations and 4304837 ideals in 2000000 cliques
- Tue Sep 10 14:16:19 2024 commencing in-memory singleton removal
- Tue Sep 10 14:16:19 2024 begin with 67946209 relations and 63317530 unique ideals
- Tue Sep 10 14:16:21 2024 reduce to 67551307 relations and 58608215 ideals in 6 passes
- Tue Sep 10 14:16:21 2024 max relations containing the same ideal: 57
- Tue Sep 10 14:16:40 2024 removing 6450546 relations and 4450546 ideals in 2000000 cliques
- Tue Sep 10 14:16:43 2024 commencing in-memory singleton removal
- Tue Sep 10 14:16:44 2024 begin with 61100761 relations and 58608215 unique ideals
- Tue Sep 10 14:16:46 2024 reduce to 60642978 relations and 53688147 ideals in 7 passes
- Tue Sep 10 14:16:46 2024 max relations containing the same ideal: 53
- Tue Sep 10 14:17:03 2024 removing 6618994 relations and 4618994 ideals in 2000000 cliques
- Tue Sep 10 14:17:06 2024 commencing in-memory singleton removal
- Tue Sep 10 14:17:07 2024 begin with 54023984 relations and 53688147 unique ideals
- Tue Sep 10 14:17:08 2024 reduce to 53480520 relations and 48510121 ideals in 7 passes
- Tue Sep 10 14:17:08 2024 max relations containing the same ideal: 50
- Tue Sep 10 14:17:24 2024 removing 6584490 relations and 4673093 ideals in 1911397 cliques
- Tue Sep 10 14:17:27 2024 commencing in-memory singleton removal
- Tue Sep 10 14:17:27 2024 begin with 46896030 relations and 48510121 unique ideals
- Tue Sep 10 14:17:29 2024 reduce to 46275621 relations and 43197663 ideals in 8 passes
- Tue Sep 10 14:17:29 2024 max relations containing the same ideal: 43
- Tue Sep 10 14:17:42 2024 removing 138151 relations and 119195 ideals in 18956 cliques
- Tue Sep 10 14:17:44 2024 commencing in-memory singleton removal
- Tue Sep 10 14:17:45 2024 begin with 46137470 relations and 43197663 unique ideals
- Tue Sep 10 14:17:46 2024 reduce to 46137185 relations and 43078183 ideals in 5 passes
- Tue Sep 10 14:17:46 2024 max relations containing the same ideal: 43
- Tue Sep 10 14:17:51 2024 relations with 0 large ideals: 9366
- Tue Sep 10 14:17:51 2024 relations with 1 large ideals: 139277
- Tue Sep 10 14:17:51 2024 relations with 2 large ideals: 1373645
- Tue Sep 10 14:17:51 2024 relations with 3 large ideals: 5470833
- Tue Sep 10 14:17:51 2024 relations with 4 large ideals: 11206225
- Tue Sep 10 14:17:51 2024 relations with 5 large ideals: 13182342
- Tue Sep 10 14:17:51 2024 relations with 6 large ideals: 9400165
- Tue Sep 10 14:17:51 2024 relations with 7+ large ideals: 5355332
- Tue Sep 10 14:17:51 2024 commencing 2-way merge
- Tue Sep 10 14:18:11 2024 reduce to 28784570 relation sets and 25725568 unique ideals
- Tue Sep 10 14:18:11 2024 commencing full merge
- Tue Sep 10 14:25:06 2024 memory use: 3144.4 MB
- Tue Sep 10 14:25:09 2024 found 13570242 cycles, need 13183768
- Tue Sep 10 14:25:13 2024 weight of 13183768 cycles is about 1450230006 (110.00/cycle)
- Tue Sep 10 14:25:13 2024 distribution of cycle lengths:
- Tue Sep 10 14:25:13 2024 1 relations: 843067
- Tue Sep 10 14:25:13 2024 2 relations: 954529
- Tue Sep 10 14:25:13 2024 3 relations: 1020669
- Tue Sep 10 14:25:13 2024 4 relations: 1044683
- Tue Sep 10 14:25:13 2024 5 relations: 1078102
- Tue Sep 10 14:25:13 2024 6 relations: 1072950
- Tue Sep 10 14:25:13 2024 7 relations: 1051509
- Tue Sep 10 14:25:13 2024 8 relations: 996561
- Tue Sep 10 14:25:13 2024 9 relations: 916395
- Tue Sep 10 14:25:13 2024 10+ relations: 4205303
- Tue Sep 10 14:25:13 2024 heaviest cycle: 22 relations
- Tue Sep 10 14:25:21 2024 commencing cycle optimization
- Tue Sep 10 14:25:40 2024 start with 100174672 relations
- Tue Sep 10 14:28:12 2024 pruned 4121114 relations
- Tue Sep 10 14:28:12 2024 memory use: 2887.4 MB
- Tue Sep 10 14:28:12 2024 distribution of cycle lengths:
- Tue Sep 10 14:28:12 2024 1 relations: 843067
- Tue Sep 10 14:28:12 2024 2 relations: 979197
- Tue Sep 10 14:28:12 2024 3 relations: 1064961
- Tue Sep 10 14:28:12 2024 4 relations: 1088719
- Tue Sep 10 14:28:12 2024 5 relations: 1133166
- Tue Sep 10 14:28:12 2024 6 relations: 1127418
- Tue Sep 10 14:28:12 2024 7 relations: 1108524
- Tue Sep 10 14:28:12 2024 8 relations: 1044592
- Tue Sep 10 14:28:12 2024 9 relations: 953121
- Tue Sep 10 14:28:12 2024 10+ relations: 3841003
- Tue Sep 10 14:28:12 2024 heaviest cycle: 22 relations
- Tue Sep 10 14:28:32 2024 RelProcTime: 6167
- Tue Sep 10 14:28:32 2024 elapsed time 01:42:47
- Tue Sep 10 14:28:36 2024
- Tue Sep 10 14:28:36 2024
- Tue Sep 10 14:28:36 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Sep 10 14:28:36 2024 random seeds: edf4aa33 ef68bb28
- Tue Sep 10 14:28:36 2024 MPI process 0 of 1
- Tue Sep 10 14:28:36 2024 Using 46 OpenMP threads
- Tue Sep 10 14:28:36 2024 factoring 21398526394119786941997384613784021984401023285673250891769119732154351335534257922992769314697246600969323216832363318196667074318438485610667511644530242844218007126131467872223 (179 digits)
- Tue Sep 10 14:28:37 2024 no P-1/P+1/ECM available, skipping
- Tue Sep 10 14:28:37 2024 commencing number field sieve (179-digit input)
- Tue Sep 10 14:28:37 2024 R0: 31256472004106859795263013711750786
- Tue Sep 10 14:28:37 2024 R1: 886867945611693701823867097
- Tue Sep 10 14:28:37 2024 A0: 3346141619407944812992892085663274281011820
- Tue Sep 10 14:28:37 2024 A1: -21638834945224241318451738067568791
- Tue Sep 10 14:28:37 2024 A2: -149719590191264653656720683250
- Tue Sep 10 14:28:37 2024 A3: 4649074072373832319963
- Tue Sep 10 14:28:37 2024 A4: 486456041965242
- Tue Sep 10 14:28:37 2024 A5: 2411640
- Tue Sep 10 14:28:37 2024 skew 16910621.96, size 2.158e-17, alpha -8.225, combined = 1.141e-13 rroots = 5
- Tue Sep 10 14:28:37 2024
- Tue Sep 10 14:28:37 2024 commencing linear algebra
- Tue Sep 10 14:28:37 2024 using VBITS=128
- Tue Sep 10 14:28:37 2024 stopping after matrix build
- Tue Sep 10 14:28:37 2024 initialized process (0,0) of 1 x 1 grid
- Tue Sep 10 14:28:39 2024 read 13183768 cycles
- Tue Sep 10 14:29:02 2024 cycles contain 44481604 unique relations
- Tue Sep 10 14:30:03 2024 read 44481604 relations
- Tue Sep 10 14:30:06 2024 using 20 quadratic characters above 4294917295
- Tue Sep 10 14:30:12 2024 building initial matrix
- Tue Sep 10 14:39:56 2024 memory use: 6198.8 MB
- Tue Sep 10 14:40:11 2024 read 13183768 cycles
- Tue Sep 10 14:40:12 2024 matrix is 13183578 x 13183768 (5800.0 MB) with weight 1784000575 (135.32/col)
- Tue Sep 10 14:40:12 2024 sparse part has weight 1362240339 (103.33/col)
- Tue Sep 10 14:42:56 2024 filtering completed in 2 passes
- Tue Sep 10 14:42:58 2024 matrix is 13180509 x 13180697 (5799.6 MB) with weight 1783823726 (135.34/col)
- Tue Sep 10 14:42:58 2024 sparse part has weight 1362164175 (103.35/col)
- Tue Sep 10 14:43:35 2024 BLanczosTime: 898
- Tue Sep 10 14:43:35 2024 elapsed time 00:14:59
- Tue Sep 10 15:05:44 2024
- Tue Sep 10 15:05:44 2024
- Tue Sep 10 15:05:44 2024 Msieve v. 1.54 (SVN unknown)
- Tue Sep 10 15:05:44 2024 random seeds: 6a37e8fa e1f8f2a6
- Tue Sep 10 15:05:44 2024 MPI process 0 of 2
- Tue Sep 10 15:05:44 2024 Using 23 OpenMP threads
- Tue Sep 10 15:05:44 2024 factoring 21398526394119786941997384613784021984401023285673250891769119732154351335534257922992769314697246600969323216832363318196667074318438485610667511644530242844218007126131467872223 (179 digits)
- Tue Sep 10 15:05:45 2024 no P-1/P+1/ECM available, skipping
- Tue Sep 10 15:05:45 2024 commencing number field sieve (179-digit input)
- Tue Sep 10 15:05:45 2024 R0: 31256472004106859795263013711750786
- Tue Sep 10 15:05:45 2024 R1: 886867945611693701823867097
- Tue Sep 10 15:05:45 2024 A0: 3346141619407944812992892085663274281011820
- Tue Sep 10 15:05:45 2024 A1: -21638834945224241318451738067568791
- Tue Sep 10 15:05:45 2024 A2: -149719590191264653656720683250
- Tue Sep 10 15:05:45 2024 A3: 4649074072373832319963
- Tue Sep 10 15:05:45 2024 A4: 486456041965242
- Tue Sep 10 15:05:45 2024 A5: 2411640
- Tue Sep 10 15:05:45 2024 skew 16910621.96, size 2.158e-17, alpha -8.225, combined = 1.141e-13 rroots = 5
- Tue Sep 10 15:05:45 2024
- Tue Sep 10 15:05:45 2024 commencing linear algebra
- Tue Sep 10 15:05:45 2024 using VBITS=256
- Tue Sep 10 15:05:45 2024 skipping matrix build
- Tue Sep 10 15:05:45 2024 initialized process (0,0) of 1 x 2 grid
- Tue Sep 10 15:05:49 2024 matrix starts at (0, 0)
- Tue Sep 10 15:05:50 2024 matrix is 13180509 x 6590356 (2899.8 MB) with weight 891900814 (135.33/col)
- Tue Sep 10 15:05:51 2024 sparse part has weight 681082213 (103.35/col)
- Tue Sep 10 15:05:51 2024 saving the first 240 matrix rows for later
- Tue Sep 10 15:05:52 2024 matrix includes 256 packed rows
- Tue Sep 10 15:05:54 2024 matrix is 13180269 x 6590356 (2629.5 MB) with weight 622488011 (94.45/col)
- Tue Sep 10 15:05:54 2024 sparse part has weight 583864546 (88.59/col)
- Tue Sep 10 15:05:54 2024 using GPU 0 (Tesla T4)
- Tue Sep 10 15:05:54 2024 selected card has CUDA arch 7.5
- Tue Sep 10 15:06:34 2024 commencing Lanczos iteration
- Tue Sep 10 15:06:35 2024 memory use: 6742.3 MB
- Tue Sep 10 15:08:04 2024 linear algebra at 0.2%, ETA 10h29m
- Tue Sep 10 15:10:18 2024 checking every 20000 dimensions, checkpointing every 1260000 dimensions
- Wed Sep 11 01:45:20 2024 lanczos halted after 51641 iterations (dim = 13180269)
- Wed Sep 11 01:46:03 2024 recovered 29 nontrivial dependencies
- Wed Sep 11 01:46:04 2024 BLanczosTime: 38419
- Wed Sep 11 01:46:04 2024 elapsed time 10:40:20
- Wed Sep 11 09:20:31 2024
- Wed Sep 11 09:20:31 2024
- Wed Sep 11 09:20:31 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Wed Sep 11 09:20:31 2024 random seeds: a5348490 201a87ec
- Wed Sep 11 09:20:31 2024 MPI process 0 of 1
- Wed Sep 11 09:20:31 2024 Using 23 OpenMP threads
- Wed Sep 11 09:20:31 2024 factoring 21398526394119786941997384613784021984401023285673250891769119732154351335534257922992769314697246600969323216832363318196667074318438485610667511644530242844218007126131467872223 (179 digits)
- Wed Sep 11 09:20:31 2024 no P-1/P+1/ECM available, skipping
- Wed Sep 11 09:20:31 2024 commencing number field sieve (179-digit input)
- Wed Sep 11 09:20:31 2024 R0: 31256472004106859795263013711750786
- Wed Sep 11 09:20:31 2024 R1: 886867945611693701823867097
- Wed Sep 11 09:20:31 2024 A0: 3346141619407944812992892085663274281011820
- Wed Sep 11 09:20:31 2024 A1: -21638834945224241318451738067568791
- Wed Sep 11 09:20:31 2024 A2: -149719590191264653656720683250
- Wed Sep 11 09:20:31 2024 A3: 4649074072373832319963
- Wed Sep 11 09:20:31 2024 A4: 486456041965242
- Wed Sep 11 09:20:31 2024 A5: 2411640
- Wed Sep 11 09:20:31 2024 skew 16910621.96, size 2.158e-17, alpha -8.225, combined = 1.141e-13 rroots = 5
- Wed Sep 11 09:20:31 2024
- Wed Sep 11 09:20:31 2024 commencing square root phase
- Wed Sep 11 09:20:31 2024 reading relations for dependency 1
- Wed Sep 11 09:20:33 2024 read 6589743 cycles
- Wed Sep 11 09:20:44 2024 cycles contain 22238492 unique relations
- Wed Sep 11 09:21:50 2024 read 22238492 relations
- Wed Sep 11 09:23:21 2024 multiplying 22238492 relations
- Wed Sep 11 09:25:53 2024 multiply complete, coefficients have about 1373.44 million bits
- Wed Sep 11 09:25:57 2024 initial square root is modulo 1448401
- Wed Sep 11 09:34:21 2024 sqrtTime: 830
- Wed Sep 11 09:34:21 2024 p80 factor: 15414593782575930318886033732402928010408653917670417291563702349729818309674419
- Wed Sep 11 09:34:21 2024 p100 factor: 1388199176439399014428942940668133318401118862917190560710566120056747256451203159559730668490970917
- Wed Sep 11 09:34:21 2024 elapsed time 00:13:50
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