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__Sign Up__- #Aug 1 (33%)
- Found 216314725 unique, 42139755 duplicate, and 7 bad relations.
- Largest dimension used: 781 of 1500
- Average dimension used: 660.2 of 1500
- Found 416887875 unique, 121853654 duplicate, and 22 bad relations.
- Largest dimension used: 1451 of 1500
- Average dimension used: 1272.3 of 1500
- Found 475213145 unique, 150303428 duplicate, and 28 bad relations.
- Largest dimension used: 1642 of 1800
- Average dimension used: 1450.3 of 1800
- Found 498972992 unique, 162350160 duplicate, and 29 bad relations.
- Largest dimension used: 1719 of 1800
- Average dimension used: 1522.8 of 1800
- Tue Aug 24 15:59:42 2021 Msieve v. 1.53 (SVN unknown)
- Tue Aug 24 15:59:42 2021 random seeds: 367f4a77 1d897d4f
- Tue Aug 24 15:59:42 2021 factoring 20790446376621850184155989604483647601883943416486618519819584851885741944822094298388078829330853298071269794648747259664601675176515187268513592080799935943090677636471898753065753643040515287659326310508757563687392987057 (224 digits)
- Tue Aug 24 15:59:43 2021 no P-1/P+1/ECM available, skipping
- Tue Aug 24 15:59:43 2021 commencing number field sieve (224-digit input)
- Tue Aug 24 15:59:43 2021 R0: -3577855662560905981638959513147239988861837901112
- Tue Aug 24 15:59:43 2021 R1: 5789092068864820527338372482892113982249794889765
- Tue Aug 24 15:59:43 2021 A0: 5
- Tue Aug 24 15:59:43 2021 A1: 18
- Tue Aug 24 15:59:43 2021 A2: 30
- Tue Aug 24 15:59:43 2021 A3: 20
- Tue Aug 24 15:59:43 2021 A4: 15
- Tue Aug 24 15:59:43 2021 A5: 0
- Tue Aug 24 15:59:43 2021 A6: 1
- Tue Aug 24 15:59:43 2021 skew 1.15, size 1.557e-14, alpha 1.892, combined = 4.847e-15 rroots = 0
- Tue Aug 24 15:59:43 2021
- Tue Aug 24 15:59:43 2021 commencing relation filtering
- Tue Aug 24 15:59:43 2021 setting target matrix density to 130.0
- Tue Aug 24 15:59:43 2021 estimated available RAM is 257376.4 MB
- Tue Aug 24 15:59:43 2021 commencing duplicate removal, pass 1
- Tue Aug 24 16:55:52 2021 skipped 43634 relations with b > 2^32
- Tue Aug 24 16:55:52 2021 found 35709376 hash collisions in 416844216 relations
- Tue Aug 24 16:56:06 2021 added 1218456 free relations
- Tue Aug 24 16:56:06 2021 commencing duplicate removal, pass 2
- Tue Aug 24 17:03:05 2021 found 0 duplicates and 418062672 unique relations
- Tue Aug 24 17:03:05 2021 memory use: 1321.5 MB
- Tue Aug 24 17:03:05 2021 reading ideals above 720000
- Tue Aug 24 17:03:05 2021 commencing singleton removal, initial pass
- Tue Aug 24 17:58:30 2021 memory use: 11024.0 MB
- Tue Aug 24 17:58:31 2021 reading all ideals from disk
- Tue Aug 24 17:58:49 2021 memory use: 18771.8 MB
- Tue Aug 24 17:59:36 2021 keeping 442783957 ideals with weight <= 200, target excess is 2411849
- Tue Aug 24 18:00:30 2021 commencing in-memory singleton removal
- Tue Aug 24 18:00:54 2021 begin with 418062672 relations and 442783957 unique ideals
- Tue Aug 24 18:06:17 2021 reduce to 190621896 relations and 182479971 ideals in 21 passes
- Tue Aug 24 18:06:17 2021 max relations containing the same ideal: 124
- Tue Aug 24 18:07:29 2021 removing 11588709 relations and 10588709 ideals in 1000000 cliques
- Tue Aug 24 18:07:33 2021 commencing in-memory singleton removal
- Tue Aug 24 18:07:44 2021 begin with 179033187 relations and 182479971 unique ideals
- Tue Aug 24 18:10:03 2021 reduce to 178483742 relations and 171337547 ideals in 11 passes
- Tue Aug 24 18:10:03 2021 max relations containing the same ideal: 120
- Tue Aug 24 18:11:11 2021 removing 8462731 relations and 7462731 ideals in 1000000 cliques
- Tue Aug 24 18:11:15 2021 commencing in-memory singleton removal
- Tue Aug 24 18:11:24 2021 begin with 170021011 relations and 171337547 unique ideals
- Tue Aug 24 18:13:13 2021 reduce to 169701432 relations and 163553180 ideals in 9 passes
- Tue Aug 24 18:13:13 2021 max relations containing the same ideal: 114
- Tue Aug 24 18:14:17 2021 removing 7470769 relations and 6470769 ideals in 1000000 cliques
- Tue Aug 24 18:14:21 2021 commencing in-memory singleton removal
- Tue Aug 24 18:14:30 2021 begin with 162230663 relations and 163553180 unique ideals
- Tue Aug 24 18:16:02 2021 reduce to 161964651 relations and 156814815 ideals in 8 passes
- Tue Aug 24 18:16:02 2021 max relations containing the same ideal: 112
- Tue Aug 24 18:17:17 2021 removing 6915869 relations and 5915869 ideals in 1000000 cliques
- Tue Aug 24 18:17:20 2021 commencing in-memory singleton removal
- Tue Aug 24 18:17:29 2021 begin with 155048782 relations and 156814815 unique ideals
- Tue Aug 24 18:19:08 2021 reduce to 154811372 relations and 150660138 ideals in 9 passes
- Tue Aug 24 18:19:08 2021 max relations containing the same ideal: 109
- Tue Aug 24 18:20:07 2021 removing 6550744 relations and 5550744 ideals in 1000000 cliques
- Tue Aug 24 18:20:10 2021 commencing in-memory singleton removal
- Tue Aug 24 18:20:19 2021 begin with 148260628 relations and 150660138 unique ideals
- Tue Aug 24 18:21:53 2021 reduce to 148039104 relations and 144886502 ideals in 9 passes
- Tue Aug 24 18:21:53 2021 max relations containing the same ideal: 107
- Tue Aug 24 18:22:50 2021 removing 2633712 relations and 2278855 ideals in 354857 cliques
- Tue Aug 24 18:22:52 2021 commencing in-memory singleton removal
- Tue Aug 24 18:23:00 2021 begin with 145405392 relations and 144886502 unique ideals
- Tue Aug 24 18:24:12 2021 reduce to 145370489 relations and 142572662 ideals in 7 passes
- Tue Aug 24 18:24:12 2021 max relations containing the same ideal: 106
- Tue Aug 24 18:24:39 2021 relations with 0 large ideals: 92382
- Tue Aug 24 18:24:39 2021 relations with 1 large ideals: 31469
- Tue Aug 24 18:24:39 2021 relations with 2 large ideals: 424196
- Tue Aug 24 18:24:39 2021 relations with 3 large ideals: 2896676
- Tue Aug 24 18:24:39 2021 relations with 4 large ideals: 11078644
- Tue Aug 24 18:24:39 2021 relations with 5 large ideals: 25668828
- Tue Aug 24 18:24:39 2021 relations with 6 large ideals: 37429013
- Tue Aug 24 18:24:39 2021 relations with 7+ large ideals: 67749281
- Tue Aug 24 18:24:39 2021 commencing 2-way merge
- Tue Aug 24 18:25:58 2021 reduce to 88285537 relation sets and 85487710 unique ideals
- Tue Aug 24 18:25:58 2021 commencing full merge
- Tue Aug 24 19:22:37 2021 memory use: 3970.4 MB
- Tue Aug 24 19:22:37 2021 found 463126 cycles, need 19026049
- Tue Aug 24 19:22:37 2021 too few cycles, matrix probably cannot build
- Wed Sep 1 14:56:48 2021
- Wed Sep 1 14:56:48 2021
- Wed Sep 1 14:56:48 2021 Msieve v. 1.53 (SVN unknown)
- Wed Sep 1 14:56:48 2021 random seeds: d0d21bf4 aef50173
- Wed Sep 1 14:56:48 2021 factoring 20790446376621850184155989604483647601883943416486618519819584851885741944822094298388078829330853298071269794648747259664601675176515187268513592080799935943090677636471898753065753643040515287659326310508757563687392987057 (224 digits)
- Wed Sep 1 14:56:49 2021 no P-1/P+1/ECM available, skipping
- Wed Sep 1 14:56:49 2021 commencing number field sieve (224-digit input)
- Wed Sep 1 14:56:49 2021 R0: -3577855662560905981638959513147239988861837901112
- Wed Sep 1 14:56:49 2021 R1: 5789092068864820527338372482892113982249794889765
- Wed Sep 1 14:56:49 2021 A0: 5
- Wed Sep 1 14:56:49 2021 A1: 18
- Wed Sep 1 14:56:49 2021 A2: 30
- Wed Sep 1 14:56:49 2021 A3: 20
- Wed Sep 1 14:56:49 2021 A4: 15
- Wed Sep 1 14:56:49 2021 A5: 0
- Wed Sep 1 14:56:49 2021 A6: 1
- Wed Sep 1 14:56:49 2021 skew 1.15, size 1.557e-14, alpha 1.892, combined = 4.847e-15 rroots = 0
- Wed Sep 1 14:56:49 2021
- Wed Sep 1 14:56:49 2021 commencing relation filtering
- Wed Sep 1 14:56:49 2021 setting target matrix density to 130.0
- Wed Sep 1 14:56:49 2021 estimated available RAM is 257376.4 MB
- Wed Sep 1 14:56:49 2021 commencing duplicate removal, pass 1
- Wed Sep 1 16:00:31 2021 skipped 63665 relations with b > 2^32
- Wed Sep 1 16:00:31 2021 found 45618355 hash collisions in 475149450 relations
- Wed Sep 1 16:00:45 2021 added 1218456 free relations
- Wed Sep 1 16:00:45 2021 commencing duplicate removal, pass 2
- Wed Sep 1 16:08:43 2021 found 0 duplicates and 476367906 unique relations
- Wed Sep 1 16:08:43 2021 memory use: 2259.0 MB
- Wed Sep 1 16:08:43 2021 reading ideals above 720000
- Wed Sep 1 16:08:44 2021 commencing singleton removal, initial pass
- Wed Sep 1 17:10:27 2021 memory use: 11024.0 MB
- Wed Sep 1 17:10:27 2021 reading all ideals from disk
- Wed Sep 1 17:10:49 2021 memory use: 21428.4 MB
- Wed Sep 1 17:12:00 2021 keeping 463536134 ideals with weight <= 200, target excess is 2775253
- Wed Sep 1 17:13:16 2021 commencing in-memory singleton removal
- Wed Sep 1 17:13:53 2021 begin with 476367906 relations and 463536134 unique ideals
- Wed Sep 1 17:20:57 2021 reduce to 270960201 relations and 233883695 ideals in 15 passes
- Wed Sep 1 17:20:57 2021 max relations containing the same ideal: 144
- Wed Sep 1 17:22:59 2021 removing 15560797 relations and 13560797 ideals in 2000000 cliques
- Wed Sep 1 17:23:06 2021 commencing in-memory singleton removal
- Wed Sep 1 17:23:20 2021 begin with 255399404 relations and 233883695 unique ideals
- Wed Sep 1 17:26:23 2021 reduce to 254786074 relations and 219703567 ideals in 10 passes
- Wed Sep 1 17:26:23 2021 max relations containing the same ideal: 141
- Wed Sep 1 17:27:52 2021 removing 11588520 relations and 9588520 ideals in 2000000 cliques
- Wed Sep 1 17:27:58 2021 commencing in-memory singleton removal
- Wed Sep 1 17:28:11 2021 begin with 243197554 relations and 219703567 unique ideals
- Wed Sep 1 17:30:05 2021 reduce to 242816666 relations and 209730965 ideals in 7 passes
- Wed Sep 1 17:30:05 2021 max relations containing the same ideal: 136
- Wed Sep 1 17:31:28 2021 removing 10331529 relations and 8331529 ideals in 2000000 cliques
- Wed Sep 1 17:31:33 2021 commencing in-memory singleton removal
- Wed Sep 1 17:31:46 2021 begin with 232485137 relations and 209730965 unique ideals
- Wed Sep 1 17:34:05 2021 reduce to 232165184 relations and 201076901 ideals in 9 passes
- Wed Sep 1 17:34:05 2021 max relations containing the same ideal: 131
- Wed Sep 1 17:35:25 2021 removing 9627156 relations and 7627156 ideals in 2000000 cliques
- Wed Sep 1 17:35:30 2021 commencing in-memory singleton removal
- Wed Sep 1 17:35:42 2021 begin with 222538028 relations and 201076901 unique ideals
- Wed Sep 1 17:37:40 2021 reduce to 222246497 relations and 193155897 ideals in 8 passes
- Wed Sep 1 17:37:40 2021 max relations containing the same ideal: 127
- Wed Sep 1 17:38:57 2021 removing 9158088 relations and 7158088 ideals in 2000000 cliques
- Wed Sep 1 17:39:01 2021 commencing in-memory singleton removal
- Wed Sep 1 17:39:13 2021 begin with 213088409 relations and 193155897 unique ideals
- Wed Sep 1 17:40:52 2021 reduce to 212813090 relations and 185720260 ideals in 7 passes
- Wed Sep 1 17:40:52 2021 max relations containing the same ideal: 124
- Wed Sep 1 17:42:06 2021 removing 8820145 relations and 6820145 ideals in 2000000 cliques
- Wed Sep 1 17:42:10 2021 commencing in-memory singleton removal
- Wed Sep 1 17:42:22 2021 begin with 203992945 relations and 185720260 unique ideals
- Wed Sep 1 17:44:10 2021 reduce to 203726404 relations and 178631370 ideals in 8 passes
- Wed Sep 1 17:44:10 2021 max relations containing the same ideal: 119
- Wed Sep 1 17:45:21 2021 removing 8564253 relations and 6564253 ideals in 2000000 cliques
- Wed Sep 1 17:45:25 2021 commencing in-memory singleton removal
- Wed Sep 1 17:45:36 2021 begin with 195162151 relations and 178631370 unique ideals
- Wed Sep 1 17:47:06 2021 reduce to 194902103 relations and 171804808 ideals in 7 passes
- Wed Sep 1 17:47:06 2021 max relations containing the same ideal: 119
- Wed Sep 1 17:48:14 2021 removing 8360370 relations and 6360370 ideals in 2000000 cliques
- Wed Sep 1 17:48:19 2021 commencing in-memory singleton removal
- Wed Sep 1 17:48:29 2021 begin with 186541733 relations and 171804808 unique ideals
- Wed Sep 1 17:49:43 2021 reduce to 186283581 relations and 165184004 ideals in 6 passes
- Wed Sep 1 17:49:43 2021 max relations containing the same ideal: 117
- Wed Sep 1 17:50:48 2021 removing 8205070 relations and 6205070 ideals in 2000000 cliques
- Wed Sep 1 17:50:53 2021 commencing in-memory singleton removal
- Wed Sep 1 17:51:02 2021 begin with 178078511 relations and 165184004 unique ideals
- Wed Sep 1 17:52:25 2021 reduce to 177821273 relations and 158719294 ideals in 7 passes
- Wed Sep 1 17:52:25 2021 max relations containing the same ideal: 114
- Wed Sep 1 17:53:27 2021 removing 8071243 relations and 6071243 ideals in 2000000 cliques
- Wed Sep 1 17:53:31 2021 commencing in-memory singleton removal
- Wed Sep 1 17:53:41 2021 begin with 169750030 relations and 158719294 unique ideals
- Wed Sep 1 17:54:59 2021 reduce to 169489874 relations and 152385320 ideals in 7 passes
- Wed Sep 1 17:54:59 2021 max relations containing the same ideal: 110
- Wed Sep 1 17:55:59 2021 removing 7974297 relations and 5974297 ideals in 2000000 cliques
- Wed Sep 1 17:56:03 2021 commencing in-memory singleton removal
- Wed Sep 1 17:56:12 2021 begin with 161515577 relations and 152385320 unique ideals
- Wed Sep 1 17:57:26 2021 reduce to 161250697 relations and 146143481 ideals in 7 passes
- Wed Sep 1 17:57:26 2021 max relations containing the same ideal: 106
- Wed Sep 1 17:58:23 2021 removing 7892177 relations and 5892177 ideals in 2000000 cliques
- Wed Sep 1 17:58:27 2021 commencing in-memory singleton removal
- Wed Sep 1 17:58:36 2021 begin with 153358520 relations and 146143481 unique ideals
- Wed Sep 1 17:59:56 2021 reduce to 153087073 relations and 139976963 ideals in 8 passes
- Wed Sep 1 17:59:56 2021 max relations containing the same ideal: 101
- Wed Sep 1 18:00:51 2021 removing 7824417 relations and 5824417 ideals in 2000000 cliques
- Wed Sep 1 18:00:55 2021 commencing in-memory singleton removal
- Wed Sep 1 18:01:02 2021 begin with 145262656 relations and 139976963 unique ideals
- Wed Sep 1 18:02:10 2021 reduce to 144982189 relations and 133868959 ideals in 7 passes
- Wed Sep 1 18:02:10 2021 max relations containing the same ideal: 97
- Wed Sep 1 18:03:01 2021 removing 7778204 relations and 5778204 ideals in 2000000 cliques
- Wed Sep 1 18:03:05 2021 commencing in-memory singleton removal
- Wed Sep 1 18:03:13 2021 begin with 137203985 relations and 133868959 unique ideals
- Wed Sep 1 18:04:16 2021 reduce to 136913183 relations and 127796592 ideals in 7 passes
- Wed Sep 1 18:04:16 2021 max relations containing the same ideal: 93
- Wed Sep 1 18:05:05 2021 removing 7747064 relations and 5747064 ideals in 2000000 cliques
- Wed Sep 1 18:05:09 2021 commencing in-memory singleton removal
- Wed Sep 1 18:05:16 2021 begin with 129166119 relations and 127796592 unique ideals
- Wed Sep 1 18:06:15 2021 reduce to 128858578 relations and 121738243 ideals in 7 passes
- Wed Sep 1 18:06:15 2021 max relations containing the same ideal: 89
- Wed Sep 1 18:07:02 2021 removing 7732577 relations and 5732577 ideals in 2000000 cliques
- Wed Sep 1 18:07:05 2021 commencing in-memory singleton removal
- Wed Sep 1 18:07:12 2021 begin with 121126001 relations and 121738243 unique ideals
- Wed Sep 1 18:08:08 2021 reduce to 120799129 relations and 115674428 ideals in 7 passes
- Wed Sep 1 18:08:08 2021 max relations containing the same ideal: 87
- Wed Sep 1 18:08:52 2021 removing 7431807 relations and 5526400 ideals in 1905407 cliques
- Wed Sep 1 18:08:55 2021 commencing in-memory singleton removal
- Wed Sep 1 18:09:01 2021 begin with 113367322 relations and 115674428 unique ideals
- Wed Sep 1 18:09:53 2021 reduce to 113043938 relations and 109820485 ideals in 7 passes
- Wed Sep 1 18:09:53 2021 max relations containing the same ideal: 82
- Wed Sep 1 18:10:49 2021 relations with 0 large ideals: 106360
- Wed Sep 1 18:10:49 2021 relations with 1 large ideals: 49898
- Wed Sep 1 18:10:49 2021 relations with 2 large ideals: 628668
- Wed Sep 1 18:10:49 2021 relations with 3 large ideals: 3739264
- Wed Sep 1 18:10:49 2021 relations with 4 large ideals: 12183962
- Wed Sep 1 18:10:49 2021 relations with 5 large ideals: 23898683
- Wed Sep 1 18:10:49 2021 relations with 6 large ideals: 29686694
- Wed Sep 1 18:10:49 2021 relations with 7+ large ideals: 42750409
- Wed Sep 1 18:10:49 2021 commencing 2-way merge
- Wed Sep 1 18:11:44 2021 reduce to 74063042 relation sets and 70839589 unique ideals
- Wed Sep 1 18:11:44 2021 commencing full merge
- Wed Sep 1 18:33:45 2021 memory use: 9236.7 MB
- Wed Sep 1 18:33:51 2021 found 33282830 cycles, need 33021789
- Wed Sep 1 18:34:00 2021 weight of 33021789 cycles is about 4293152728 (130.01/cycle)
- Wed Sep 1 18:34:00 2021 distribution of cycle lengths:
- Wed Sep 1 18:34:00 2021 1 relations: 1463696
- Wed Sep 1 18:34:00 2021 2 relations: 1949258
- Wed Sep 1 18:34:00 2021 3 relations: 2324727
- Wed Sep 1 18:34:00 2021 4 relations: 2421552
- Wed Sep 1 18:34:00 2021 5 relations: 2486016
- Wed Sep 1 18:34:00 2021 6 relations: 2448033
- Wed Sep 1 18:34:00 2021 7 relations: 2398121
- Wed Sep 1 18:34:00 2021 8 relations: 2283161
- Wed Sep 1 18:34:00 2021 9 relations: 2149941
- Wed Sep 1 18:34:00 2021 10+ relations: 13097284
- Wed Sep 1 18:34:00 2021 heaviest cycle: 28 relations
- Wed Sep 1 18:34:07 2021 commencing cycle optimization
- Wed Sep 1 18:35:06 2021 start with 289396310 relations
- Wed Sep 1 18:43:55 2021 pruned 12930531 relations
- Wed Sep 1 18:43:55 2021 memory use: 7655.2 MB
- Wed Sep 1 18:43:55 2021 distribution of cycle lengths:
- Wed Sep 1 18:43:55 2021 1 relations: 1463696
- Wed Sep 1 18:43:55 2021 2 relations: 2000446
- Wed Sep 1 18:43:55 2021 3 relations: 2429207
- Wed Sep 1 18:43:55 2021 4 relations: 2528149
- Wed Sep 1 18:43:55 2021 5 relations: 2614501
- Wed Sep 1 18:43:55 2021 6 relations: 2566894
- Wed Sep 1 18:43:55 2021 7 relations: 2521094
- Wed Sep 1 18:43:55 2021 8 relations: 2386730
- Wed Sep 1 18:43:55 2021 9 relations: 2244194
- Wed Sep 1 18:43:55 2021 10+ relations: 12266878
- Wed Sep 1 18:43:55 2021 heaviest cycle: 28 relations
- Wed Sep 1 18:45:08 2021 RelProcTime: 13699
- Wed Sep 1 18:45:08 2021
- Wed Sep 1 18:45:08 2021 commencing linear algebra
- Wed Sep 1 18:45:13 2021 read 33021789 cycles
- Wed Sep 1 18:46:35 2021 cycles contain 111324082 unique relations
- Wed Sep 1 19:00:55 2021 read 111324082 relations
- Wed Sep 1 19:04:00 2021 using 20 quadratic characters above 4294917295
- Wed Sep 1 19:12:24 2021 building initial matrix
- Wed Sep 1 19:37:06 2021 memory use: 14675.4 MB
- Wed Sep 1 19:37:55 2021 read 33021789 cycles
- Wed Sep 1 19:38:03 2021 matrix is 33021612 x 33021789 (16597.2 MB) with weight 4717720405 (142.87/col)
- Wed Sep 1 19:38:03 2021 sparse part has weight 4020641659 (121.76/col)
- Wed Sep 1 19:45:32 2021 filtering completed in 2 passes
- Wed Sep 1 19:45:38 2021 matrix is 33020554 x 33020731 (16597.1 MB) with weight 4717681663 (142.87/col)
- Wed Sep 1 19:45:38 2021 sparse part has weight 4020625514 (121.76/col)
- Wed Sep 1 19:47:44 2021 matrix starts at (0, 0)
- Wed Sep 1 19:47:49 2021 matrix is 33020554 x 33020731 (16597.1 MB) with weight 4717681663 (142.87/col)
- Wed Sep 1 19:47:49 2021 sparse part has weight 4020625514 (121.76/col)
- Wed Sep 1 19:47:49 2021 saving the first 48 matrix rows for later
- Wed Sep 1 19:47:56 2021 matrix includes 64 packed rows
- Wed Sep 1 19:48:00 2021 matrix is 33020506 x 33020731 (16021.3 MB) with weight 4091133374 (123.90/col)
- Wed Sep 1 19:48:00 2021 sparse part has weight 3869673644 (117.19/col)
- Wed Sep 1 19:48:02 2021 using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
- Wed Sep 1 19:51:03 2021 commencing Lanczos iteration (32 threads)
- Wed Sep 1 19:51:03 2021 memory use: 14088.7 MB
- Wed Sep 1 19:51:53 2021 linear algebra at 0.0%, ETA 243h14m
- Wed Sep 1 19:52:08 2021 checkpointing every 120000 dimensions
- Wed Sep 1 22:44:41 2021 lanczos halted after 5902 iterations (dim = 373250)
- Wed Sep 1 22:44:44 2021 BLanczosTime: 14376
- Sat Sep 4 12:23:47 2021
- Sat Sep 4 12:23:47 2021
- Sat Sep 4 12:23:47 2021 Msieve v. 1.53 (SVN unknown)
- Sat Sep 4 12:23:47 2021 random seeds: 8331363c bba505b3
- Sat Sep 4 12:23:47 2021 factoring 20790446376621850184155989604483647601883943416486618519819584851885741944822094298388078829330853298071269794648747259664601675176515187268513592080799935943090677636471898753065753643040515287659326310508757563687392987057 (224 digits)
- Sat Sep 4 12:23:48 2021 no P-1/P+1/ECM available, skipping
- Sat Sep 4 12:23:48 2021 commencing number field sieve (224-digit input)
- Sat Sep 4 12:23:48 2021 R0: -3577855662560905981638959513147239988861837901112
- Sat Sep 4 12:23:48 2021 R1: 5789092068864820527338372482892113982249794889765
- Sat Sep 4 12:23:48 2021 A0: 5
- Sat Sep 4 12:23:48 2021 A1: 18
- Sat Sep 4 12:23:48 2021 A2: 30
- Sat Sep 4 12:23:48 2021 A3: 20
- Sat Sep 4 12:23:48 2021 A4: 15
- Sat Sep 4 12:23:48 2021 A5: 0
- Sat Sep 4 12:23:48 2021 A6: 1
- Sat Sep 4 12:23:48 2021 skew 1.15, size 1.557e-14, alpha 1.892, combined = 4.847e-15 rroots = 0
- Sat Sep 4 12:23:48 2021
- Sat Sep 4 12:23:48 2021 commencing relation filtering
- Sat Sep 4 12:23:48 2021 setting target matrix density to 140.0
- Sat Sep 4 12:23:48 2021 estimated available RAM is 257376.4 MB
- Sat Sep 4 12:23:48 2021 commencing duplicate removal, pass 1
- Sat Sep 4 13:40:12 2021 skipped 73856 relations with b > 2^32
- Sat Sep 4 13:40:12 2021 found 50403476 hash collisions in 500035805 relations
- Sat Sep 4 13:40:27 2021 added 1218456 free relations
- Sat Sep 4 13:40:27 2021 commencing duplicate removal, pass 2
- Sat Sep 4 13:50:11 2021 found 387493 duplicates and 500866768 unique relations
- Sat Sep 4 13:50:11 2021 memory use: 2259.0 MB
- Sat Sep 4 13:50:11 2021 reading ideals above 720000
- Sat Sep 4 13:50:11 2021 commencing singleton removal, initial pass
- Sat Sep 4 15:11:32 2021 memory use: 11024.0 MB
- Sat Sep 4 15:11:32 2021 reading all ideals from disk
- Sat Sep 4 15:12:15 2021 memory use: 22546.4 MB
- Sat Sep 4 15:13:47 2021 keeping 471187130 ideals with weight <= 200, target excess is 2929208
- Sat Sep 4 15:15:09 2021 commencing in-memory singleton removal
- Sat Sep 4 15:15:46 2021 begin with 500866768 relations and 471187130 unique ideals
- Sat Sep 4 15:22:52 2021 reduce to 303872970 relations and 252777371 ideals in 14 passes
- Sat Sep 4 15:22:52 2021 max relations containing the same ideal: 154
- Sat Sep 4 15:25:01 2021 removing 14536062 relations and 12536062 ideals in 2000000 cliques
- Sat Sep 4 15:25:08 2021 commencing in-memory singleton removal
- Sat Sep 4 15:25:26 2021 begin with 289336908 relations and 252777371 unique ideals
- Sat Sep 4 15:28:26 2021 reduce to 288872784 relations and 239773187 ideals in 8 passes
- Sat Sep 4 15:28:26 2021 max relations containing the same ideal: 148
- Sat Sep 4 15:30:29 2021 removing 10881180 relations and 8881180 ideals in 2000000 cliques
- Sat Sep 4 15:30:35 2021 commencing in-memory singleton removal
- Sat Sep 4 15:30:53 2021 begin with 277991604 relations and 239773187 unique ideals
- Sat Sep 4 15:33:24 2021 reduce to 277699833 relations and 230598038 ideals in 7 passes
- Sat Sep 4 15:33:24 2021 max relations containing the same ideal: 143
- Sat Sep 4 15:35:12 2021 removing 9720228 relations and 7720228 ideals in 2000000 cliques
- Sat Sep 4 15:35:18 2021 commencing in-memory singleton removal
- Sat Sep 4 15:35:36 2021 begin with 267979605 relations and 230598038 unique ideals
- Sat Sep 4 15:38:12 2021 reduce to 267733635 relations and 222630177 ideals in 7 passes
- Sat Sep 4 15:38:12 2021 max relations containing the same ideal: 138
- Sat Sep 4 15:39:57 2021 removing 9062454 relations and 7062454 ideals in 2000000 cliques
- Sat Sep 4 15:40:03 2021 commencing in-memory singleton removal
- Sat Sep 4 15:40:19 2021 begin with 258671181 relations and 222630177 unique ideals
- Sat Sep 4 15:42:55 2021 reduce to 258446876 relations and 215341851 ideals in 8 passes
- Sat Sep 4 15:42:55 2021 max relations containing the same ideal: 136
- Sat Sep 4 15:44:41 2021 removing 8623509 relations and 6623509 ideals in 2000000 cliques
- Sat Sep 4 15:44:46 2021 commencing in-memory singleton removal
- Sat Sep 4 15:45:02 2021 begin with 249823367 relations and 215341851 unique ideals
- Sat Sep 4 15:47:23 2021 reduce to 249614439 relations and 208507910 ideals in 7 passes
- Sat Sep 4 15:47:23 2021 max relations containing the same ideal: 134
- Sat Sep 4 15:49:31 2021 removing 8293832 relations and 6293832 ideals in 2000000 cliques
- Sat Sep 4 15:49:37 2021 commencing in-memory singleton removal
- Sat Sep 4 15:49:56 2021 begin with 241320607 relations and 208507910 unique ideals
- Sat Sep 4 15:52:19 2021 reduce to 241119402 relations and 202011424 ideals in 7 passes
- Sat Sep 4 15:52:19 2021 max relations containing the same ideal: 131
- Sat Sep 4 15:54:04 2021 removing 8048663 relations and 6048663 ideals in 2000000 cliques
- Sat Sep 4 15:54:10 2021 commencing in-memory singleton removal
- Sat Sep 4 15:54:24 2021 begin with 233070739 relations and 202011424 unique ideals
- Sat Sep 4 15:56:29 2021 reduce to 232874577 relations and 195765211 ideals in 7 passes
- Sat Sep 4 15:56:29 2021 max relations containing the same ideal: 127
- Sat Sep 4 15:58:08 2021 removing 7853931 relations and 5853931 ideals in 2000000 cliques
- Sat Sep 4 15:58:13 2021 commencing in-memory singleton removal
- Sat Sep 4 15:58:27 2021 begin with 225020646 relations and 195765211 unique ideals
- Sat Sep 4 16:00:23 2021 reduce to 224827932 relations and 189717091 ideals in 7 passes
- Sat Sep 4 16:00:23 2021 max relations containing the same ideal: 123
- Sat Sep 4 16:01:53 2021 removing 7693191 relations and 5693191 ideals in 2000000 cliques
- Sat Sep 4 16:01:58 2021 commencing in-memory singleton removal
- Sat Sep 4 16:02:10 2021 begin with 217134741 relations and 189717091 unique ideals
- Sat Sep 4 16:03:43 2021 reduce to 216944198 relations and 183831873 ideals in 6 passes
- Sat Sep 4 16:03:43 2021 max relations containing the same ideal: 122
- Sat Sep 4 16:05:26 2021 removing 7567352 relations and 5567352 ideals in 2000000 cliques
- Sat Sep 4 16:05:33 2021 commencing in-memory singleton removal
- Sat Sep 4 16:05:49 2021 begin with 209376846 relations and 183831873 unique ideals
- Sat Sep 4 16:07:53 2021 reduce to 209188309 relations and 178074457 ideals in 6 passes
- Sat Sep 4 16:07:53 2021 max relations containing the same ideal: 118
- Sat Sep 4 16:09:34 2021 removing 7459221 relations and 5459221 ideals in 2000000 cliques
- Sat Sep 4 16:09:40 2021 commencing in-memory singleton removal
- Sat Sep 4 16:09:55 2021 begin with 201729088 relations and 178074457 unique ideals
- Sat Sep 4 16:11:58 2021 reduce to 201539867 relations and 172424393 ideals in 6 passes
- Sat Sep 4 16:11:58 2021 max relations containing the same ideal: 115
- Sat Sep 4 16:13:41 2021 removing 7369157 relations and 5369157 ideals in 2000000 cliques
- Sat Sep 4 16:13:46 2021 commencing in-memory singleton removal
- Sat Sep 4 16:14:01 2021 begin with 194170710 relations and 172424393 unique ideals
- Sat Sep 4 16:15:53 2021 reduce to 193980177 relations and 166862996 ideals in 6 passes
- Sat Sep 4 16:15:53 2021 max relations containing the same ideal: 112
- Sat Sep 4 16:17:37 2021 removing 7291530 relations and 5291530 ideals in 2000000 cliques
- Sat Sep 4 16:17:43 2021 commencing in-memory singleton removal
- Sat Sep 4 16:17:57 2021 begin with 186688647 relations and 166862996 unique ideals
- Sat Sep 4 16:19:56 2021 reduce to 186496398 relations and 161377437 ideals in 7 passes
- Sat Sep 4 16:19:56 2021 max relations containing the same ideal: 109
- Sat Sep 4 16:21:27 2021 removing 7231283 relations and 5231283 ideals in 2000000 cliques
- Sat Sep 4 16:21:32 2021 commencing in-memory singleton removal
- Sat Sep 4 16:21:44 2021 begin with 179265115 relations and 161377437 unique ideals
- Sat Sep 4 16:23:13 2021 reduce to 179070090 relations and 155949302 ideals in 6 passes
- Sat Sep 4 16:23:13 2021 max relations containing the same ideal: 107
- Sat Sep 4 16:24:17 2021 removing 7181224 relations and 5181224 ideals in 2000000 cliques
- Sat Sep 4 16:24:20 2021 commencing in-memory singleton removal
- Sat Sep 4 16:24:30 2021 begin with 171888866 relations and 155949302 unique ideals
- Sat Sep 4 16:25:51 2021 reduce to 171690097 relations and 150567246 ideals in 7 passes
- Sat Sep 4 16:25:51 2021 max relations containing the same ideal: 105
- Sat Sep 4 16:26:53 2021 removing 7133456 relations and 5133456 ideals in 2000000 cliques
- Sat Sep 4 16:26:57 2021 commencing in-memory singleton removal
- Sat Sep 4 16:27:06 2021 begin with 164556641 relations and 150567246 unique ideals
- Sat Sep 4 16:28:24 2021 reduce to 164352988 relations and 145227995 ideals in 7 passes
- Sat Sep 4 16:28:24 2021 max relations containing the same ideal: 101
- Sat Sep 4 16:29:23 2021 removing 7098824 relations and 5098824 ideals in 2000000 cliques
- Sat Sep 4 16:29:26 2021 commencing in-memory singleton removal
- Sat Sep 4 16:29:35 2021 begin with 157254164 relations and 145227995 unique ideals
- Sat Sep 4 16:30:49 2021 reduce to 157043395 relations and 139916074 ideals in 7 passes
- Sat Sep 4 16:30:49 2021 max relations containing the same ideal: 98
- Sat Sep 4 16:31:46 2021 removing 7076544 relations and 5076544 ideals in 2000000 cliques
- Sat Sep 4 16:31:50 2021 commencing in-memory singleton removal
- Sat Sep 4 16:31:58 2021 begin with 149966851 relations and 139916074 unique ideals
- Sat Sep 4 16:32:59 2021 reduce to 149749274 relations and 134619475 ideals in 6 passes
- Sat Sep 4 16:32:59 2021 max relations containing the same ideal: 95
- Sat Sep 4 16:33:53 2021 removing 7060322 relations and 5060322 ideals in 2000000 cliques
- Sat Sep 4 16:33:57 2021 commencing in-memory singleton removal
- Sat Sep 4 16:34:05 2021 begin with 142688952 relations and 134619475 unique ideals
- Sat Sep 4 16:35:12 2021 reduce to 142462215 relations and 129329624 ideals in 7 passes
- Sat Sep 4 16:35:12 2021 max relations containing the same ideal: 90
- Sat Sep 4 16:36:04 2021 removing 7051646 relations and 5051646 ideals in 2000000 cliques
- Sat Sep 4 16:36:08 2021 commencing in-memory singleton removal
- Sat Sep 4 16:36:15 2021 begin with 135410569 relations and 129329624 unique ideals
- Sat Sep 4 16:37:10 2021 reduce to 135171688 relations and 124036056 ideals in 6 passes
- Sat Sep 4 16:37:10 2021 max relations containing the same ideal: 88
- Sat Sep 4 16:38:00 2021 removing 7053938 relations and 5053938 ideals in 2000000 cliques
- Sat Sep 4 16:38:03 2021 commencing in-memory singleton removal
- Sat Sep 4 16:38:10 2021 begin with 128117750 relations and 124036056 unique ideals
- Sat Sep 4 16:39:19 2021 reduce to 127865306 relations and 118726458 ideals in 8 passes
- Sat Sep 4 16:39:19 2021 max relations containing the same ideal: 86
- Sat Sep 4 16:40:07 2021 removing 7067721 relations and 5067721 ideals in 2000000 cliques
- Sat Sep 4 16:40:10 2021 commencing in-memory singleton removal
- Sat Sep 4 16:40:16 2021 begin with 120797585 relations and 118726458 unique ideals
- Sat Sep 4 16:41:13 2021 reduce to 120530322 relations and 113387823 ideals in 7 passes
- Sat Sep 4 16:41:13 2021 max relations containing the same ideal: 84
- Sat Sep 4 16:41:57 2021 removing 7093733 relations and 5093733 ideals in 2000000 cliques
- Sat Sep 4 16:42:00 2021 commencing in-memory singleton removal
- Sat Sep 4 16:42:07 2021 begin with 113436589 relations and 113387823 unique ideals
- Sat Sep 4 16:43:00 2021 reduce to 113146490 relations and 107999816 ideals in 7 passes
- Sat Sep 4 16:43:00 2021 max relations containing the same ideal: 80
- Sat Sep 4 16:43:42 2021 removing 6377064 relations and 4628272 ideals in 1748792 cliques
- Sat Sep 4 16:43:45 2021 commencing in-memory singleton removal
- Sat Sep 4 16:43:51 2021 begin with 106769426 relations and 107999816 unique ideals
- Sat Sep 4 16:44:41 2021 reduce to 106516364 relations and 103115092 ideals in 7 passes
- Sat Sep 4 16:44:41 2021 max relations containing the same ideal: 77
- Sat Sep 4 16:45:34 2021 relations with 0 large ideals: 112188
- Sat Sep 4 16:45:34 2021 relations with 1 large ideals: 59984
- Sat Sep 4 16:45:34 2021 relations with 2 large ideals: 731737
- Sat Sep 4 16:45:34 2021 relations with 3 large ideals: 4148265
- Sat Sep 4 16:45:34 2021 relations with 4 large ideals: 12794167
- Sat Sep 4 16:45:34 2021 relations with 5 large ideals: 23729857
- Sat Sep 4 16:45:34 2021 relations with 6 large ideals: 27883743
- Sat Sep 4 16:45:34 2021 relations with 7+ large ideals: 37056423
- Sat Sep 4 16:45:34 2021 commencing 2-way merge
- Sat Sep 4 16:46:26 2021 reduce to 71243197 relation sets and 67841925 unique ideals
- Sat Sep 4 16:46:26 2021 commencing full merge
- Sat Sep 4 17:08:16 2021 memory use: 8829.2 MB
- Sat Sep 4 17:08:21 2021 found 31294700 cycles, need 31078125
- Sat Sep 4 17:08:30 2021 weight of 31078125 cycles is about 4351917095 (140.03/cycle)
- Sat Sep 4 17:08:30 2021 distribution of cycle lengths:
- Sat Sep 4 17:08:30 2021 1 relations: 1070630
- Sat Sep 4 17:08:30 2021 2 relations: 1519179
- Sat Sep 4 17:08:30 2021 3 relations: 1899588
- Sat Sep 4 17:08:30 2021 4 relations: 2049743
- Sat Sep 4 17:08:30 2021 5 relations: 2185115
- Sat Sep 4 17:08:30 2021 6 relations: 2212384
- Sat Sep 4 17:08:30 2021 7 relations: 2197980
- Sat Sep 4 17:08:30 2021 8 relations: 2149991
- Sat Sep 4 17:08:30 2021 9 relations: 2059880
- Sat Sep 4 17:08:30 2021 10+ relations: 13733635
- Sat Sep 4 17:08:30 2021 heaviest cycle: 28 relations
- Sat Sep 4 17:08:37 2021 commencing cycle optimization
- Sat Sep 4 17:09:37 2021 start with 292456057 relations
- Sat Sep 4 17:19:06 2021 pruned 14774010 relations
- Sat Sep 4 17:19:06 2021 memory use: 7417.8 MB
- Sat Sep 4 17:19:06 2021 distribution of cycle lengths:
- Sat Sep 4 17:19:06 2021 1 relations: 1070630
- Sat Sep 4 17:19:06 2021 2 relations: 1561170
- Sat Sep 4 17:19:06 2021 3 relations: 1987133
- Sat Sep 4 17:19:06 2021 4 relations: 2149640
- Sat Sep 4 17:19:06 2021 5 relations: 2312037
- Sat Sep 4 17:19:06 2021 6 relations: 2336452
- Sat Sep 4 17:19:06 2021 7 relations: 2333953
- Sat Sep 4 17:19:06 2021 8 relations: 2275637
- Sat Sep 4 17:19:06 2021 9 relations: 2177046
- Sat Sep 4 17:19:06 2021 10+ relations: 12874427
- Sat Sep 4 17:19:06 2021 heaviest cycle: 28 relations
- Sat Sep 4 17:20:11 2021 RelProcTime: 17783
- Sat Sep 4 17:20:11 2021
- Sat Sep 4 17:20:11 2021 commencing linear algebra
- Sat Sep 4 17:20:25 2021 read 31078125 cycles
- Sat Sep 4 17:21:45 2021 cycles contain 104899619 unique relations
- Sat Sep 4 17:35:37 2021 read 104899619 relations
- Sat Sep 4 17:38:34 2021 using 20 quadratic characters above 4294917295
- Sat Sep 4 17:46:28 2021 building initial matrix
- Sat Sep 4 18:10:16 2021 memory use: 13954.4 MB
- Sat Sep 4 18:10:41 2021 read 31078125 cycles
- Sat Sep 4 18:10:47 2021 matrix is 31077947 x 31078125 (16592.6 MB) with weight 4707102645 (151.46/col)
- Sat Sep 4 18:10:47 2021 sparse part has weight 4038865600 (129.96/col)
- Sat Sep 4 18:18:00 2021 filtering completed in 2 passes
- Sat Sep 4 18:18:05 2021 matrix is 31077476 x 31077654 (16592.5 MB) with weight 4707085628 (151.46/col)
- Sat Sep 4 18:18:05 2021 sparse part has weight 4038858854 (129.96/col)
- Sat Sep 4 18:19:35 2021 matrix starts at (0, 0)
- Sat Sep 4 18:19:40 2021 matrix is 31077476 x 31077654 (16592.5 MB) with weight 4707085628 (151.46/col)
- Sat Sep 4 18:19:40 2021 sparse part has weight 4038858854 (129.96/col)
- Sat Sep 4 18:19:40 2021 saving the first 48 matrix rows for later
- Sat Sep 4 18:19:46 2021 matrix includes 64 packed rows
- Sat Sep 4 18:19:51 2021 matrix is 31077428 x 31077654 (16016.6 MB) with weight 4109037750 (132.22/col)
- Sat Sep 4 18:19:51 2021 sparse part has weight 3887871726 (125.10/col)
- Sat Sep 4 18:19:52 2021 using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
- Sat Sep 4 18:22:49 2021 commencing Lanczos iteration (32 threads)
- Sat Sep 4 18:22:49 2021 memory use: 14087.8 MB
- Sat Sep 4 18:23:41 2021 linear algebra at 0.0%, ETA 278h38m
- Sat Sep 4 18:23:57 2021 checkpointing every 120000 dimensions
- Mon Sep 13 20:11:11 2021 lanczos halted after 491471 iterations (dim = 31077423)
- Mon Sep 13 20:11:40 2021 recovered 34 nontrivial dependencies
- Mon Sep 13 20:11:43 2021 BLanczosTime: 787892
- Mon Sep 13 20:11:43 2021
- Mon Sep 13 20:11:43 2021 commencing square root phase
- Mon Sep 13 20:11:43 2021 handling dependencies 1 to 64
- Mon Sep 13 20:11:43 2021 reading relations for dependency 1
- Mon Sep 13 20:11:47 2021 read 15544245 cycles
- Mon Sep 13 20:12:13 2021 cycles contain 52461690 unique relations
- Mon Sep 13 20:22:49 2021 read 52461690 relations
- Mon Sep 13 20:26:09 2021 multiplying 52461690 relations
- Mon Sep 13 21:06:24 2021 multiply complete, coefficients have about 1526.02 million bits
- Mon Sep 13 21:06:30 2021 initial square root is modulo 7003651
- Mon Sep 13 21:49:33 2021 sqrtTime: 5870
- Mon Sep 13 21:49:33 2021 p64 factor: 1645314853783969974409864778570205738354678434910357950092999577
- Mon Sep 13 21:49:33 2021 p161 factor: 12636150660651385655536853575429801589347079702136295860601105349821353448606335675413898069048092775252323595921559027803415610047429532675796552767932354657241
- Mon Sep 13 21:49:33 2021 elapsed time 225:25:46

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