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- Fri Jul 21 14:51:40 2017 Msieve v. 1.53 (SVN unknown)
- Fri Jul 21 14:51:40 2017 random seeds: 5429777f 723634d5
- Fri Jul 21 14:51:40 2017 factoring 314653115809307951898713853390593679365304026849878683717647306448540598024840725423941604678327491979309970558045182675162419704208615919288865579283623418810465733214078622746767013840787080771222275807872799719543 (216 digits)
- Fri Jul 21 14:51:41 2017 searching for 15-digit factors
- Fri Jul 21 14:51:42 2017 commencing number field sieve (216-digit input)
- Fri Jul 21 14:51:42 2017 R0: 241335311011519234780052665404754645838881
- Fri Jul 21 14:51:42 2017 R1: -2273168619161481613
- Fri Jul 21 14:51:42 2017 A0: 8535703
- Fri Jul 21 14:51:42 2017 A1: 0
- Fri Jul 21 14:51:42 2017 A2: 0
- Fri Jul 21 14:51:42 2017 A3: 0
- Fri Jul 21 14:51:42 2017 A4: 0
- Fri Jul 21 14:51:42 2017 A5: 0
- Fri Jul 21 14:51:42 2017 A6: 13
- Fri Jul 21 14:51:42 2017 skew 9.32, size 6.352e-13, alpha -0.311, combined = 8.929e-14 rroots = 0
- Fri Jul 21 14:51:42 2017
- Fri Jul 21 14:51:42 2017 commencing relation filtering
- Fri Jul 21 14:51:42 2017 setting target matrix density to 132.0
- Fri Jul 21 14:51:42 2017 estimated available RAM is 16003.1 MB
- Fri Jul 21 14:51:42 2017 commencing duplicate removal, pass 1
- Fri Jul 21 15:24:49 2017 error -15 reading relation 276055113
- Fri Jul 21 15:36:09 2017 error -11 reading relation 370240644
- Fri Jul 21 15:36:39 2017 error -6 reading relation 374520499
- Fri Jul 21 15:37:42 2017 skipped 20 relations with b > 2^32
- Fri Jul 21 15:37:42 2017 found 30466157 hash collisions in 383235190 relations
- Fri Jul 21 15:37:56 2017 added 1219098 free relations
- Fri Jul 21 15:37:56 2017 commencing duplicate removal, pass 2
- Fri Jul 21 15:39:48 2017 found 0 duplicates and 384454288 unique relations
- Fri Jul 21 15:39:48 2017 memory use: 1321.5 MB
- Fri Jul 21 15:39:48 2017 reading ideals above 307953664
- Fri Jul 21 15:39:48 2017 commencing singleton removal, initial pass
- Fri Jul 21 16:14:18 2017 memory use: 6024.0 MB
- Fri Jul 21 16:14:18 2017 reading all ideals from disk
- Fri Jul 21 16:14:35 2017 memory use: 6377.5 MB
- Fri Jul 21 16:14:47 2017 commencing in-memory singleton removal
- Fri Jul 21 16:14:58 2017 begin with 384454288 relations and 305518116 unique ideals
- Fri Jul 21 16:17:20 2017 reduce to 254738981 relations and 162891831 ideals in 14 passes
- Fri Jul 21 16:17:20 2017 max relations containing the same ideal: 42
- Fri Jul 21 16:17:31 2017 reading ideals above 720000
- Fri Jul 21 16:17:31 2017 commencing singleton removal, initial pass
- Fri Jul 21 16:47:57 2017 memory use: 5512.0 MB
- Fri Jul 21 16:47:57 2017 reading large ideals from disk
- Fri Jul 21 16:49:37 2017 keeping 174943050 ideals with weight <= 20, target excess is 21263901
- Fri Jul 21 16:51:19 2017 memory use: 7128.7 MB
- Fri Jul 21 16:51:19 2017 commencing in-memory singleton removal
- Fri Jul 21 16:51:26 2017 begin with 254738981 relations and 174943050 unique ideals
- Fri Jul 21 16:52:40 2017 reduce to 254721884 relations and 174925953 ideals in 8 passes
- Fri Jul 21 16:52:40 2017 max relations containing the same ideal: 20
- Fri Jul 21 16:53:35 2017 removing 11665526 relations and 9665526 ideals in 2000000 cliques
- Fri Jul 21 16:53:39 2017 commencing in-memory singleton removal
- Fri Jul 21 16:53:46 2017 begin with 243056358 relations and 174925953 unique ideals
- Fri Jul 21 16:54:56 2017 reduce to 242607569 relations and 164806762 ideals in 8 passes
- Fri Jul 21 16:54:56 2017 max relations containing the same ideal: 20
- Fri Jul 21 16:55:48 2017 removing 8716947 relations and 6716947 ideals in 2000000 cliques
- Fri Jul 21 16:55:52 2017 commencing in-memory singleton removal
- Fri Jul 21 16:55:58 2017 begin with 233890622 relations and 164806762 unique ideals
- Fri Jul 21 16:56:56 2017 reduce to 233597313 relations and 157793807 ideals in 7 passes
- Fri Jul 21 16:56:56 2017 max relations containing the same ideal: 20
- Fri Jul 21 16:57:46 2017 removing 7838009 relations and 5838009 ideals in 2000000 cliques
- Fri Jul 21 16:57:50 2017 commencing in-memory singleton removal
- Fri Jul 21 16:57:56 2017 begin with 225759304 relations and 157793807 unique ideals
- Fri Jul 21 16:58:51 2017 reduce to 225506487 relations and 151700672 ideals in 7 passes
- Fri Jul 21 16:58:51 2017 max relations containing the same ideal: 20
- Fri Jul 21 16:59:39 2017 removing 7357508 relations and 5357508 ideals in 2000000 cliques
- Fri Jul 21 16:59:43 2017 commencing in-memory singleton removal
- Fri Jul 21 16:59:48 2017 begin with 218148979 relations and 151700672 unique ideals
- Fri Jul 21 17:00:41 2017 reduce to 217918922 relations and 146111053 ideals in 7 passes
- Fri Jul 21 17:00:41 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:01:27 2017 removing 7048894 relations and 5048894 ideals in 2000000 cliques
- Fri Jul 21 17:01:31 2017 commencing in-memory singleton removal
- Fri Jul 21 17:01:36 2017 begin with 210870028 relations and 146111053 unique ideals
- Fri Jul 21 17:02:26 2017 reduce to 210649469 relations and 140839589 ideals in 7 passes
- Fri Jul 21 17:02:26 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:03:11 2017 removing 6890368 relations and 4890368 ideals in 2000000 cliques
- Fri Jul 21 17:03:14 2017 commencing in-memory singleton removal
- Fri Jul 21 17:03:20 2017 begin with 203759101 relations and 140839589 unique ideals
- Fri Jul 21 17:04:07 2017 reduce to 203558619 relations and 135746894 ideals in 7 passes
- Fri Jul 21 17:04:07 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:04:50 2017 removing 6656652 relations and 4656652 ideals in 2000000 cliques
- Fri Jul 21 17:04:53 2017 commencing in-memory singleton removal
- Fri Jul 21 17:04:58 2017 begin with 196901967 relations and 135746894 unique ideals
- Fri Jul 21 17:05:44 2017 reduce to 196697278 relations and 130883452 ideals in 7 passes
- Fri Jul 21 17:05:44 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:06:25 2017 removing 6578407 relations and 4578407 ideals in 2000000 cliques
- Fri Jul 21 17:06:29 2017 commencing in-memory singleton removal
- Fri Jul 21 17:06:33 2017 begin with 190118871 relations and 130883452 unique ideals
- Fri Jul 21 17:07:16 2017 reduce to 189920300 relations and 126104448 ideals in 7 passes
- Fri Jul 21 17:07:16 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:07:57 2017 removing 6447676 relations and 4447676 ideals in 2000000 cliques
- Fri Jul 21 17:08:00 2017 commencing in-memory singleton removal
- Fri Jul 21 17:08:04 2017 begin with 183472624 relations and 126104448 unique ideals
- Fri Jul 21 17:08:51 2017 reduce to 183274879 relations and 121456868 ideals in 8 passes
- Fri Jul 21 17:08:51 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:09:30 2017 removing 6398876 relations and 4398876 ideals in 2000000 cliques
- Fri Jul 21 17:09:33 2017 commencing in-memory singleton removal
- Fri Jul 21 17:09:38 2017 begin with 176876003 relations and 121456868 unique ideals
- Fri Jul 21 17:10:17 2017 reduce to 176681885 relations and 116861678 ideals in 7 passes
- Fri Jul 21 17:10:17 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:10:55 2017 removing 6277818 relations and 4277818 ideals in 2000000 cliques
- Fri Jul 21 17:10:58 2017 commencing in-memory singleton removal
- Fri Jul 21 17:11:02 2017 begin with 170404067 relations and 116861678 unique ideals
- Fri Jul 21 17:11:39 2017 reduce to 170207524 relations and 112385017 ideals in 7 passes
- Fri Jul 21 17:11:39 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:12:15 2017 removing 6224787 relations and 4224787 ideals in 2000000 cliques
- Fri Jul 21 17:12:18 2017 commencing in-memory singleton removal
- Fri Jul 21 17:12:22 2017 begin with 163982737 relations and 112385017 unique ideals
- Fri Jul 21 17:12:58 2017 reduce to 163779250 relations and 107954198 ideals in 7 passes
- Fri Jul 21 17:12:58 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:13:33 2017 removing 6204190 relations and 4204190 ideals in 2000000 cliques
- Fri Jul 21 17:13:36 2017 commencing in-memory singleton removal
- Fri Jul 21 17:13:39 2017 begin with 157575060 relations and 107954198 unique ideals
- Fri Jul 21 17:14:18 2017 reduce to 157374453 relations and 103546833 ideals in 8 passes
- Fri Jul 21 17:14:18 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:14:52 2017 removing 6163788 relations and 4163788 ideals in 2000000 cliques
- Fri Jul 21 17:14:54 2017 commencing in-memory singleton removal
- Fri Jul 21 17:14:58 2017 begin with 151210665 relations and 103546833 unique ideals
- Fri Jul 21 17:15:31 2017 reduce to 151017847 relations and 99187676 ideals in 7 passes
- Fri Jul 21 17:15:31 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:16:03 2017 removing 6143104 relations and 4143104 ideals in 2000000 cliques
- Fri Jul 21 17:16:05 2017 commencing in-memory singleton removal
- Fri Jul 21 17:16:09 2017 begin with 144874743 relations and 99187676 unique ideals
- Fri Jul 21 17:16:40 2017 reduce to 144677178 relations and 94844177 ideals in 7 passes
- Fri Jul 21 17:16:40 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:17:11 2017 removing 5964428 relations and 3964428 ideals in 2000000 cliques
- Fri Jul 21 17:17:13 2017 commencing in-memory singleton removal
- Fri Jul 21 17:17:16 2017 begin with 138712750 relations and 94844177 unique ideals
- Fri Jul 21 17:17:42 2017 reduce to 138469778 relations and 90633188 ideals in 6 passes
- Fri Jul 21 17:17:42 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:18:11 2017 removing 6081867 relations and 4081867 ideals in 2000000 cliques
- Fri Jul 21 17:18:14 2017 commencing in-memory singleton removal
- Fri Jul 21 17:18:17 2017 begin with 132387911 relations and 90633188 unique ideals
- Fri Jul 21 17:18:45 2017 reduce to 132170056 relations and 86330078 ideals in 7 passes
- Fri Jul 21 17:18:45 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:19:13 2017 removing 6056507 relations and 4056507 ideals in 2000000 cliques
- Fri Jul 21 17:19:15 2017 commencing in-memory singleton removal
- Fri Jul 21 17:19:18 2017 begin with 126113549 relations and 86330078 unique ideals
- Fri Jul 21 17:19:48 2017 reduce to 125894722 relations and 82051109 ideals in 8 passes
- Fri Jul 21 17:19:48 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:20:15 2017 removing 6014683 relations and 4014683 ideals in 2000000 cliques
- Fri Jul 21 17:20:17 2017 commencing in-memory singleton removal
- Fri Jul 21 17:20:20 2017 begin with 119880039 relations and 82051109 unique ideals
- Fri Jul 21 17:20:48 2017 reduce to 119655606 relations and 77808228 ideals in 8 passes
- Fri Jul 21 17:20:48 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:21:14 2017 removing 6024516 relations and 4024516 ideals in 2000000 cliques
- Fri Jul 21 17:21:16 2017 commencing in-memory singleton removal
- Fri Jul 21 17:21:19 2017 begin with 113631090 relations and 77808228 unique ideals
- Fri Jul 21 17:21:45 2017 reduce to 113399440 relations and 73547975 ideals in 8 passes
- Fri Jul 21 17:21:45 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:22:09 2017 removing 5878093 relations and 3878093 ideals in 2000000 cliques
- Fri Jul 21 17:22:11 2017 commencing in-memory singleton removal
- Fri Jul 21 17:22:14 2017 begin with 107521347 relations and 73547975 unique ideals
- Fri Jul 21 17:22:39 2017 reduce to 107232127 relations and 69375046 ideals in 8 passes
- Fri Jul 21 17:22:39 2017 max relations containing the same ideal: 20
- Fri Jul 21 17:23:01 2017 removing 5993691 relations and 3993691 ideals in 2000000 cliques
- Fri Jul 21 17:23:04 2017 commencing in-memory singleton removal
- Fri Jul 21 17:23:06 2017 begin with 101238436 relations and 69375046 unique ideals
- Fri Jul 21 17:23:23 2017 reduce to 100976597 relations and 65114441 ideals in 6 passes
- Fri Jul 21 17:23:23 2017 max relations containing the same ideal: 19
- Fri Jul 21 17:23:44 2017 removing 6013276 relations and 4013276 ideals in 2000000 cliques
- Fri Jul 21 17:23:46 2017 commencing in-memory singleton removal
- Fri Jul 21 17:23:48 2017 begin with 94963321 relations and 65114441 unique ideals
- Fri Jul 21 17:24:07 2017 reduce to 94688334 relations and 60820564 ideals in 7 passes
- Fri Jul 21 17:24:07 2017 max relations containing the same ideal: 18
- Fri Jul 21 17:24:27 2017 removing 5973194 relations and 3973194 ideals in 2000000 cliques
- Fri Jul 21 17:24:29 2017 commencing in-memory singleton removal
- Fri Jul 21 17:24:31 2017 begin with 88715140 relations and 60820564 unique ideals
- Fri Jul 21 17:24:48 2017 reduce to 88413778 relations and 56539349 ideals in 7 passes
- Fri Jul 21 17:24:48 2017 max relations containing the same ideal: 18
- Fri Jul 21 17:25:06 2017 removing 5910615 relations and 3910615 ideals in 2000000 cliques
- Fri Jul 21 17:25:08 2017 commencing in-memory singleton removal
- Fri Jul 21 17:25:09 2017 begin with 82503163 relations and 56539349 unique ideals
- Fri Jul 21 17:25:27 2017 reduce to 82159124 relations and 52276454 ideals in 8 passes
- Fri Jul 21 17:25:27 2017 max relations containing the same ideal: 17
- Fri Jul 21 17:25:44 2017 removing 5983500 relations and 3983500 ideals in 2000000 cliques
- Fri Jul 21 17:25:46 2017 commencing in-memory singleton removal
- Fri Jul 21 17:25:47 2017 begin with 76175624 relations and 52276454 unique ideals
- Fri Jul 21 17:26:04 2017 reduce to 75801300 relations and 47909050 ideals in 8 passes
- Fri Jul 21 17:26:04 2017 max relations containing the same ideal: 17
- Fri Jul 21 17:26:19 2017 removing 5985555 relations and 3985555 ideals in 2000000 cliques
- Fri Jul 21 17:26:21 2017 commencing in-memory singleton removal
- Fri Jul 21 17:26:22 2017 begin with 69815745 relations and 47909050 unique ideals
- Fri Jul 21 17:26:37 2017 reduce to 69421555 relations and 43518309 ideals in 8 passes
- Fri Jul 21 17:26:37 2017 max relations containing the same ideal: 16
- Fri Jul 21 17:26:50 2017 removing 3760242 relations and 2523122 ideals in 1237120 cliques
- Fri Jul 21 17:26:52 2017 commencing in-memory singleton removal
- Fri Jul 21 17:26:53 2017 begin with 65661313 relations and 43518309 unique ideals
- Fri Jul 21 17:27:07 2017 reduce to 65433673 relations and 40762194 ideals in 8 passes
- Fri Jul 21 17:27:07 2017 max relations containing the same ideal: 16
- Fri Jul 21 17:27:21 2017 relations with 0 large ideals: 5963550
- Fri Jul 21 17:27:21 2017 relations with 1 large ideals: 20850180
- Fri Jul 21 17:27:21 2017 relations with 2 large ideals: 25268563
- Fri Jul 21 17:27:21 2017 relations with 3 large ideals: 11110642
- Fri Jul 21 17:27:21 2017 relations with 4 large ideals: 2013587
- Fri Jul 21 17:27:21 2017 relations with 5 large ideals: 205877
- Fri Jul 21 17:27:21 2017 relations with 6 large ideals: 19709
- Fri Jul 21 17:27:21 2017 relations with 7+ large ideals: 1565
- Fri Jul 21 17:27:21 2017 commencing 2-way merge
- Fri Jul 21 17:27:37 2017 reduce to 40357510 relation sets and 15686031 unique ideals
- Fri Jul 21 17:27:37 2017 commencing full merge
- Fri Jul 21 17:29:06 2017 memory use: 1648.7 MB
- Fri Jul 21 17:29:09 2017 found 24605100 cycles, need 21264101
- Fri Jul 21 17:29:13 2017 weight of 21264101 cycles is about 1308437940 (61.53/cycle)
- Fri Jul 21 17:29:13 2017 distribution of cycle lengths:
- Fri Jul 21 17:29:13 2017 1 relations: 5963550
- Fri Jul 21 17:29:13 2017 2 relations: 2652591
- Fri Jul 21 17:29:13 2017 3 relations: 2040734
- Fri Jul 21 17:29:13 2017 4 relations: 1780604
- Fri Jul 21 17:29:13 2017 5 relations: 1646774
- Fri Jul 21 17:29:13 2017 6 relations: 1504823
- Fri Jul 21 17:29:13 2017 7 relations: 1370730
- Fri Jul 21 17:29:13 2017 8 relations: 1212210
- Fri Jul 21 17:29:13 2017 9 relations: 1052913
- Fri Jul 21 17:29:13 2017 10+ relations: 2039172
- Fri Jul 21 17:29:13 2017 heaviest cycle: 15 relations
- Fri Jul 21 17:29:14 2017 matrix not dense enough, retrying
- Fri Jul 21 17:29:16 2017 reading large ideals from disk
- Fri Jul 21 17:31:09 2017 keeping 180163543 ideals with weight <= 25, target excess is 16043408
- Fri Jul 21 17:33:01 2017 memory use: 7128.7 MB
- Fri Jul 21 17:33:01 2017 commencing in-memory singleton removal
- Fri Jul 21 17:33:11 2017 begin with 254738981 relations and 180163543 unique ideals
- Fri Jul 21 17:34:47 2017 reduce to 254721884 relations and 180146446 ideals in 8 passes
- Fri Jul 21 17:34:47 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:35:54 2017 removing 11852226 relations and 9852226 ideals in 2000000 cliques
- Fri Jul 21 17:35:59 2017 commencing in-memory singleton removal
- Fri Jul 21 17:36:08 2017 begin with 242869658 relations and 180146446 unique ideals
- Fri Jul 21 17:37:28 2017 reduce to 242430750 relations and 169850617 ideals in 7 passes
- Fri Jul 21 17:37:28 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:38:31 2017 removing 8868611 relations and 6868611 ideals in 2000000 cliques
- Fri Jul 21 17:38:35 2017 commencing in-memory singleton removal
- Fri Jul 21 17:38:44 2017 begin with 233562139 relations and 169850617 unique ideals
- Fri Jul 21 17:40:00 2017 reduce to 233275821 relations and 162693156 ideals in 7 passes
- Fri Jul 21 17:40:00 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:41:01 2017 removing 7967770 relations and 5967770 ideals in 2000000 cliques
- Fri Jul 21 17:41:05 2017 commencing in-memory singleton removal
- Fri Jul 21 17:41:14 2017 begin with 225308051 relations and 162693156 unique ideals
- Fri Jul 21 17:42:25 2017 reduce to 225062605 relations and 156477708 ideals in 7 passes
- Fri Jul 21 17:42:25 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:43:25 2017 removing 7464704 relations and 5464704 ideals in 2000000 cliques
- Fri Jul 21 17:43:28 2017 commencing in-memory singleton removal
- Fri Jul 21 17:43:37 2017 begin with 217597901 relations and 156477708 unique ideals
- Fri Jul 21 17:44:36 2017 reduce to 217373221 relations and 150786293 ideals in 6 passes
- Fri Jul 21 17:44:36 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:45:33 2017 removing 7154302 relations and 5154302 ideals in 2000000 cliques
- Fri Jul 21 17:45:37 2017 commencing in-memory singleton removal
- Fri Jul 21 17:45:45 2017 begin with 210218919 relations and 150786293 unique ideals
- Fri Jul 21 17:46:51 2017 reduce to 210007344 relations and 145418412 ideals in 7 passes
- Fri Jul 21 17:46:51 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:47:46 2017 removing 6939237 relations and 4939237 ideals in 2000000 cliques
- Fri Jul 21 17:47:50 2017 commencing in-memory singleton removal
- Fri Jul 21 17:47:57 2017 begin with 203068107 relations and 145418412 unique ideals
- Fri Jul 21 17:49:01 2017 reduce to 202867236 relations and 140276496 ideals in 7 passes
- Fri Jul 21 17:49:01 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:49:54 2017 removing 6754510 relations and 4754510 ideals in 2000000 cliques
- Fri Jul 21 17:49:58 2017 commencing in-memory singleton removal
- Fri Jul 21 17:50:05 2017 begin with 196112726 relations and 140276496 unique ideals
- Fri Jul 21 17:51:06 2017 reduce to 195915390 relations and 135322685 ideals in 7 passes
- Fri Jul 21 17:51:06 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:51:58 2017 removing 6648894 relations and 4648894 ideals in 2000000 cliques
- Fri Jul 21 17:52:01 2017 commencing in-memory singleton removal
- Fri Jul 21 17:52:08 2017 begin with 189266496 relations and 135322685 unique ideals
- Fri Jul 21 17:52:58 2017 reduce to 189076730 relations and 130482082 ideals in 6 passes
- Fri Jul 21 17:52:58 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:53:49 2017 removing 6512481 relations and 4512481 ideals in 2000000 cliques
- Fri Jul 21 17:53:52 2017 commencing in-memory singleton removal
- Fri Jul 21 17:53:59 2017 begin with 182564249 relations and 130482082 unique ideals
- Fri Jul 21 17:54:47 2017 reduce to 182371883 relations and 125775160 ideals in 6 passes
- Fri Jul 21 17:54:47 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:55:35 2017 removing 6447828 relations and 4447828 ideals in 2000000 cliques
- Fri Jul 21 17:55:38 2017 commencing in-memory singleton removal
- Fri Jul 21 17:55:45 2017 begin with 175924055 relations and 125775160 unique ideals
- Fri Jul 21 17:56:38 2017 reduce to 175736067 relations and 121137211 ideals in 7 passes
- Fri Jul 21 17:56:38 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:57:25 2017 removing 6368066 relations and 4368066 ideals in 2000000 cliques
- Fri Jul 21 17:57:28 2017 commencing in-memory singleton removal
- Fri Jul 21 17:57:34 2017 begin with 169368001 relations and 121137211 unique ideals
- Fri Jul 21 17:58:17 2017 reduce to 169177411 relations and 116576417 ideals in 6 passes
- Fri Jul 21 17:58:17 2017 max relations containing the same ideal: 25
- Fri Jul 21 17:59:02 2017 removing 6289570 relations and 4289570 ideals in 2000000 cliques
- Fri Jul 21 17:59:05 2017 commencing in-memory singleton removal
- Fri Jul 21 17:59:11 2017 begin with 162887841 relations and 116576417 unique ideals
- Fri Jul 21 17:59:53 2017 reduce to 162697048 relations and 112093747 ideals in 6 passes
- Fri Jul 21 17:59:53 2017 max relations containing the same ideal: 25
- Fri Jul 21 18:00:36 2017 removing 6246113 relations and 4246113 ideals in 2000000 cliques
- Fri Jul 21 18:00:39 2017 commencing in-memory singleton removal
- Fri Jul 21 18:00:44 2017 begin with 156450935 relations and 112093747 unique ideals
- Fri Jul 21 18:01:31 2017 reduce to 156258991 relations and 107653252 ideals in 7 passes
- Fri Jul 21 18:01:31 2017 max relations containing the same ideal: 25
- Fri Jul 21 18:02:12 2017 removing 6214764 relations and 4214764 ideals in 2000000 cliques
- Fri Jul 21 18:02:15 2017 commencing in-memory singleton removal
- Fri Jul 21 18:02:20 2017 begin with 150044227 relations and 107653252 unique ideals
- Fri Jul 21 18:02:58 2017 reduce to 149849347 relations and 103241167 ideals in 6 passes
- Fri Jul 21 18:02:58 2017 max relations containing the same ideal: 25
- Fri Jul 21 18:03:38 2017 removing 6160242 relations and 4160242 ideals in 2000000 cliques
- Fri Jul 21 18:03:40 2017 commencing in-memory singleton removal
- Fri Jul 21 18:03:45 2017 begin with 143689105 relations and 103241167 unique ideals
- Fri Jul 21 18:04:27 2017 reduce to 143492309 relations and 98881505 ideals in 7 passes
- Fri Jul 21 18:04:27 2017 max relations containing the same ideal: 25
- Fri Jul 21 18:05:05 2017 removing 6139419 relations and 4139419 ideals in 2000000 cliques
- Fri Jul 21 18:05:08 2017 commencing in-memory singleton removal
- Fri Jul 21 18:05:12 2017 begin with 137352890 relations and 98881505 unique ideals
- Fri Jul 21 18:05:52 2017 reduce to 137152907 relations and 94539244 ideals in 7 passes
- Fri Jul 21 18:05:52 2017 max relations containing the same ideal: 25
- Fri Jul 21 18:06:29 2017 removing 6088575 relations and 4088575 ideals in 2000000 cliques
- Fri Jul 21 18:06:31 2017 commencing in-memory singleton removal
- Fri Jul 21 18:06:36 2017 begin with 131064332 relations and 94539244 unique ideals
- Fri Jul 21 18:07:13 2017 reduce to 130854061 relations and 90237251 ideals in 7 passes
- Fri Jul 21 18:07:13 2017 max relations containing the same ideal: 24
- Fri Jul 21 18:07:48 2017 removing 6062150 relations and 4062150 ideals in 2000000 cliques
- Fri Jul 21 18:07:50 2017 commencing in-memory singleton removal
- Fri Jul 21 18:07:54 2017 begin with 124791911 relations and 90237251 unique ideals
- Fri Jul 21 18:08:30 2017 reduce to 124574614 relations and 85954411 ideals in 7 passes
- Fri Jul 21 18:08:30 2017 max relations containing the same ideal: 24
- Fri Jul 21 18:09:03 2017 removing 6071475 relations and 4071475 ideals in 2000000 cliques
- Fri Jul 21 18:09:05 2017 commencing in-memory singleton removal
- Fri Jul 21 18:09:09 2017 begin with 118503139 relations and 85954411 unique ideals
- Fri Jul 21 18:09:42 2017 reduce to 118283583 relations and 81659678 ideals in 7 passes
- Fri Jul 21 18:09:42 2017 max relations containing the same ideal: 24
- Fri Jul 21 18:10:13 2017 removing 6053501 relations and 4053501 ideals in 2000000 cliques
- Fri Jul 21 18:10:15 2017 commencing in-memory singleton removal
- Fri Jul 21 18:10:19 2017 begin with 112230082 relations and 81659678 unique ideals
- Fri Jul 21 18:10:50 2017 reduce to 112004692 relations and 77376873 ideals in 7 passes
- Fri Jul 21 18:10:50 2017 max relations containing the same ideal: 23
- Fri Jul 21 18:11:20 2017 removing 6030540 relations and 4030540 ideals in 2000000 cliques
- Fri Jul 21 18:11:22 2017 commencing in-memory singleton removal
- Fri Jul 21 18:11:25 2017 begin with 105974152 relations and 77376873 unique ideals
- Fri Jul 21 18:11:54 2017 reduce to 105741188 relations and 73109182 ideals in 7 passes
- Fri Jul 21 18:11:54 2017 max relations containing the same ideal: 23
- Fri Jul 21 18:12:22 2017 removing 6029521 relations and 4029521 ideals in 2000000 cliques
- Fri Jul 21 18:12:24 2017 commencing in-memory singleton removal
- Fri Jul 21 18:12:27 2017 begin with 99711667 relations and 73109182 unique ideals
- Fri Jul 21 18:12:51 2017 reduce to 99465093 relations and 68828358 ideals in 6 passes
- Fri Jul 21 18:12:51 2017 max relations containing the same ideal: 23
- Fri Jul 21 18:13:16 2017 removing 6010114 relations and 4010114 ideals in 2000000 cliques
- Fri Jul 21 18:13:19 2017 commencing in-memory singleton removal
- Fri Jul 21 18:13:22 2017 begin with 93454979 relations and 68828358 unique ideals
- Fri Jul 21 18:13:47 2017 reduce to 93190904 relations and 64548781 ideals in 7 passes
- Fri Jul 21 18:13:47 2017 max relations containing the same ideal: 22
- Fri Jul 21 18:14:11 2017 removing 6012740 relations and 4012740 ideals in 2000000 cliques
- Fri Jul 21 18:14:13 2017 commencing in-memory singleton removal
- Fri Jul 21 18:14:16 2017 begin with 87178164 relations and 64548781 unique ideals
- Fri Jul 21 18:14:39 2017 reduce to 86888339 relations and 60240035 ideals in 7 passes
- Fri Jul 21 18:14:39 2017 max relations containing the same ideal: 22
- Fri Jul 21 18:15:01 2017 removing 6009439 relations and 4009439 ideals in 2000000 cliques
- Fri Jul 21 18:15:03 2017 commencing in-memory singleton removal
- Fri Jul 21 18:15:05 2017 begin with 80878900 relations and 60240035 unique ideals
- Fri Jul 21 18:15:30 2017 reduce to 80560015 relations and 55904312 ideals in 8 passes
- Fri Jul 21 18:15:30 2017 max relations containing the same ideal: 20
- Fri Jul 21 18:15:50 2017 removing 6062096 relations and 4062096 ideals in 2000000 cliques
- Fri Jul 21 18:15:52 2017 commencing in-memory singleton removal
- Fri Jul 21 18:15:54 2017 begin with 74497919 relations and 55904312 unique ideals
- Fri Jul 21 18:16:16 2017 reduce to 74161986 relations and 51497990 ideals in 8 passes
- Fri Jul 21 18:16:16 2017 max relations containing the same ideal: 20
- Fri Jul 21 18:16:35 2017 removing 6074840 relations and 4074840 ideals in 2000000 cliques
- Fri Jul 21 18:16:37 2017 commencing in-memory singleton removal
- Fri Jul 21 18:16:38 2017 begin with 68087146 relations and 51497990 unique ideals
- Fri Jul 21 18:16:58 2017 reduce to 67705581 relations and 47031415 ideals in 8 passes
- Fri Jul 21 18:16:58 2017 max relations containing the same ideal: 20
- Fri Jul 21 18:17:15 2017 removing 6136973 relations and 4136973 ideals in 2000000 cliques
- Fri Jul 21 18:17:17 2017 commencing in-memory singleton removal
- Fri Jul 21 18:17:18 2017 begin with 61568608 relations and 47031415 unique ideals
- Fri Jul 21 18:17:35 2017 reduce to 61130254 relations and 42443406 ideals in 8 passes
- Fri Jul 21 18:17:35 2017 max relations containing the same ideal: 18
- Fri Jul 21 18:17:51 2017 removing 259893 relations and 183399 ideals in 76494 cliques
- Fri Jul 21 18:17:52 2017 commencing in-memory singleton removal
- Fri Jul 21 18:17:53 2017 begin with 60870361 relations and 42443406 unique ideals
- Fri Jul 21 18:18:04 2017 reduce to 60867420 relations and 42257061 ideals in 5 passes
- Fri Jul 21 18:18:04 2017 max relations containing the same ideal: 18
- Fri Jul 21 18:18:07 2017 relations with 0 large ideals: 3140326
- Fri Jul 21 18:18:07 2017 relations with 1 large ideals: 12984832
- Fri Jul 21 18:18:07 2017 relations with 2 large ideals: 21859742
- Fri Jul 21 18:18:07 2017 relations with 3 large ideals: 15982689
- Fri Jul 21 18:18:07 2017 relations with 4 large ideals: 5595344
- Fri Jul 21 18:18:07 2017 relations with 5 large ideals: 1078504
- Fri Jul 21 18:18:07 2017 relations with 6 large ideals: 181883
- Fri Jul 21 18:18:07 2017 relations with 7+ large ideals: 44100
- Fri Jul 21 18:18:07 2017 commencing 2-way merge
- Fri Jul 21 18:18:26 2017 reduce to 38758873 relation sets and 20148514 unique ideals
- Fri Jul 21 18:18:26 2017 commencing full merge
- Fri Jul 21 18:21:42 2017 memory use: 1872.9 MB
- Fri Jul 21 18:21:44 2017 found 18706488 cycles, need 16864714
- Fri Jul 21 18:21:48 2017 weight of 16864714 cycles is about 1889108233 (112.02/cycle)
- Fri Jul 21 18:21:48 2017 distribution of cycle lengths:
- Fri Jul 21 18:21:48 2017 1 relations: 3142681
- Fri Jul 21 18:21:48 2017 2 relations: 1208011
- Fri Jul 21 18:21:48 2017 3 relations: 958866
- Fri Jul 21 18:21:48 2017 4 relations: 884334
- Fri Jul 21 18:21:48 2017 5 relations: 875605
- Fri Jul 21 18:21:48 2017 6 relations: 864799
- Fri Jul 21 18:21:48 2017 7 relations: 866204
- Fri Jul 21 18:21:48 2017 8 relations: 853096
- Fri Jul 21 18:21:48 2017 9 relations: 840459
- Fri Jul 21 18:21:48 2017 10+ relations: 6370659
- Fri Jul 21 18:21:48 2017 heaviest cycle: 24 relations
- Fri Jul 21 18:21:49 2017 commencing cycle optimization
- Fri Jul 21 18:22:12 2017 start with 132204773 relations
- Fri Jul 21 18:25:42 2017 pruned 11867597 relations
- Fri Jul 21 18:25:42 2017 memory use: 3403.5 MB
- Fri Jul 21 18:25:42 2017 distribution of cycle lengths:
- Fri Jul 21 18:25:42 2017 1 relations: 3142681
- Fri Jul 21 18:25:42 2017 2 relations: 1258016
- Fri Jul 21 18:25:42 2017 3 relations: 1027336
- Fri Jul 21 18:25:42 2017 4 relations: 965334
- Fri Jul 21 18:25:42 2017 5 relations: 979780
- Fri Jul 21 18:25:42 2017 6 relations: 983329
- Fri Jul 21 18:25:42 2017 7 relations: 1002049
- Fri Jul 21 18:25:42 2017 8 relations: 990378
- Fri Jul 21 18:25:42 2017 9 relations: 974974
- Fri Jul 21 18:25:42 2017 10+ relations: 5540837
- Fri Jul 21 18:25:42 2017 heaviest cycle: 24 relations
- Fri Jul 21 18:25:53 2017 RelProcTime: 12851
- Fri Jul 21 18:25:53 2017
- Fri Jul 21 18:25:53 2017 commencing linear algebra
- Fri Jul 21 18:26:08 2017 read 16864714 cycles
- Fri Jul 21 18:26:37 2017 cycles contain 52184721 unique relations
- Fri Jul 21 18:31:16 2017 read 52184721 relations
- Fri Jul 21 18:32:34 2017 using 20 quadratic characters above 4294917295
- Fri Jul 21 18:35:53 2017 building initial matrix
- Fri Jul 21 18:44:07 2017 memory use: 6699.6 MB
- Fri Jul 21 18:44:13 2017 read 16864714 cycles
- Fri Jul 21 18:44:15 2017 matrix is 16862704 x 16864714 (6949.5 MB) with weight 1998396089 (118.50/col)
- Fri Jul 21 18:44:15 2017 sparse part has weight 1636257322 (97.02/col)
- Fri Jul 21 18:48:57 2017 filtering completed in 3 passes
- Fri Jul 21 18:49:00 2017 matrix is 16820269 x 16820469 (6939.7 MB) with weight 1995419239 (118.63/col)
- Fri Jul 21 18:49:00 2017 sparse part has weight 1634178004 (97.15/col)
- Fri Jul 21 18:49:50 2017 matrix starts at (0, 0)
- Fri Jul 21 18:49:52 2017 matrix is 16820269 x 16820469 (6939.7 MB) with weight 1995419239 (118.63/col)
- Fri Jul 21 18:49:52 2017 sparse part has weight 1634178004 (97.15/col)
- Fri Jul 21 18:49:52 2017 saving the first 48 matrix rows for later
- Fri Jul 21 18:49:54 2017 matrix includes 64 packed rows
- Fri Jul 21 18:49:56 2017 matrix is 16820221 x 16820469 (6641.0 MB) with weight 1681802377 (99.99/col)
- Fri Jul 21 18:49:56 2017 sparse part has weight 1572689055 (93.50/col)
- Fri Jul 21 18:49:56 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Fri Jul 21 18:51:04 2017 commencing Lanczos iteration (4 threads)
- Fri Jul 21 18:51:04 2017 memory use: 5643.8 MB
- Fri Jul 21 18:52:30 2017 linear algebra at 0.0%, ETA 252h22m
- Fri Jul 21 18:52:58 2017 checkpointing every 70000 dimensions
- Sun Jul 30 20:17:12 2017
- Sun Jul 30 20:17:12 2017
- Sun Jul 30 20:17:12 2017 Msieve v. 1.53 (SVN unknown)
- Sun Jul 30 20:17:12 2017 random seeds: 70c61570 e8be61f2
- Sun Jul 30 20:17:12 2017 factoring 314653115809307951898713853390593679365304026849878683717647306448540598024840725423941604678327491979309970558045182675162419704208615919288865579283623418810465733214078622746767013840787080771222275807872799719543 (216 digits)
- Sun Jul 30 20:17:13 2017 searching for 15-digit factors
- Sun Jul 30 20:17:13 2017 commencing number field sieve (216-digit input)
- Sun Jul 30 20:17:13 2017 R0: 241335311011519234780052665404754645838881
- Sun Jul 30 20:17:13 2017 R1: -2273168619161481613
- Sun Jul 30 20:17:13 2017 A0: 8535703
- Sun Jul 30 20:17:13 2017 A1: 0
- Sun Jul 30 20:17:13 2017 A2: 0
- Sun Jul 30 20:17:13 2017 A3: 0
- Sun Jul 30 20:17:13 2017 A4: 0
- Sun Jul 30 20:17:13 2017 A5: 0
- Sun Jul 30 20:17:13 2017 A6: 13
- Sun Jul 30 20:17:13 2017 skew 9.32, size 6.352e-13, alpha -0.311, combined = 8.929e-14 rroots = 0
- Sun Jul 30 20:17:13 2017
- Sun Jul 30 20:17:13 2017 commencing linear algebra
- Sun Jul 30 20:17:13 2017 skipping matrix build
- Sun Jul 30 20:17:30 2017 matrix starts at (0, 0)
- Sun Jul 30 20:17:32 2017 matrix is 16820269 x 16820469 (6939.7 MB) with weight 1995419239 (118.63/col)
- Sun Jul 30 20:17:32 2017 sparse part has weight 1634178004 (97.15/col)
- Sun Jul 30 20:17:32 2017 saving the first 48 matrix rows for later
- Sun Jul 30 20:17:35 2017 matrix includes 64 packed rows
- Sun Jul 30 20:17:37 2017 matrix is 16820221 x 16820469 (6641.0 MB) with weight 1681802377 (99.99/col)
- Sun Jul 30 20:17:37 2017 sparse part has weight 1572689055 (93.50/col)
- Sun Jul 30 20:17:37 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sun Jul 30 20:18:52 2017 commencing Lanczos iteration (4 threads)
- Sun Jul 30 20:18:52 2017 memory use: 5643.8 MB
- Sun Jul 30 20:18:54 2017 restarting at iteration 263454 (dim = 16660050)
- Sun Jul 30 20:20:51 2017 linear algebra at 99.1%, ETA 3h23m
- Sun Jul 30 20:21:26 2017 checkpointing every 50000 dimensions
- Sun Jul 30 23:34:51 2017 lanczos halted after 265989 iterations (dim = 16820215)
- Sun Jul 30 23:35:15 2017 recovered 35 nontrivial dependencies
- Sun Jul 30 23:35:15 2017 BLanczosTime: 11882
- Sun Jul 30 23:35:15 2017
- Sun Jul 30 23:35:15 2017 commencing square root phase
- Sun Jul 30 23:35:15 2017 handling dependencies 1 to 64
- Sun Jul 30 23:35:15 2017 reading relations for dependency 1
- Sun Jul 30 23:35:17 2017 read 8408493 cycles
- Sun Jul 30 23:35:29 2017 cycles contain 26068406 unique relations
- Sun Jul 30 23:38:13 2017 read 26068406 relations
- Sun Jul 30 23:39:44 2017 multiplying 26068406 relations
- Mon Jul 31 00:00:11 2017 multiply complete, coefficients have about 801.55 million bits
- Mon Jul 31 00:00:14 2017 initial square root is modulo 15527833
- Mon Jul 31 00:21:52 2017 GCD is 1, no factor found
- Mon Jul 31 00:21:52 2017 reading relations for dependency 2
- Mon Jul 31 00:21:53 2017 read 8411924 cycles
- Mon Jul 31 00:22:05 2017 cycles contain 26069126 unique relations
- Mon Jul 31 00:24:44 2017 read 26069126 relations
- Mon Jul 31 00:26:16 2017 multiplying 26069126 relations
- Mon Jul 31 00:46:43 2017 multiply complete, coefficients have about 801.57 million bits
- Mon Jul 31 00:46:46 2017 initial square root is modulo 15535111
- Mon Jul 31 01:08:24 2017 sqrtTime: 5589
- Mon Jul 31 01:08:24 2017 p71 factor: 55031288291934785931210279544691097659020271041250783748556162338270193
- Mon Jul 31 01:08:24 2017 p145 factor: 5717713060615783034766696501760525326408926267920845813396006809880497335502921301902344427990866856795430401226765327518254114382969482509662951
- Mon Jul 31 01:08:24 2017 elapsed time 04:51:12
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